{"id": "v3_val_heldout_shape_00000000", "prompt": "What is -60 + 12 / (-3) / (-4)?", "solution_steps": ["Divide: 12 / (-3) = -4", "Divide: -4 / (-4) = 1", "Add: -60 + 1 = -59"], "final_answer": "-59", "answer_type": "integer", "kind": "expression", "math_text": "-60 + 12 / (-3) / (-4)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": 12, \"c\": -3, \"d\": -4}", "seed": "10144233615405193602", "semantic_fingerprint": "sha256:f0b4b8746f908e1810cbfce0e239701cfadcdc5903430656a71cbe981ff5f94b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000001", "prompt": "Solve for x: 2(x - 83) + 9 = 10(x + 31) - 331", "solution_steps": ["Expand: 2x - 166 + 9 = 10(x + 31) - 331", "Expand: 2x - 166 + 9 = 10x + 310 - 331", "Combine constants: 2x - 157 = 10x + 310 - 331", "Combine constants: 2x - 157 = 10x - 21", "Subtract 10x from both sides: -8x - 157 = -21", "Add 157 to both sides: -8x = 136", "Divide both sides by -8: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 83) + 9 = 10(x + 31) - 331", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 83, \"c\": 9, \"d\": 10, \"e\": 31, \"g\": -331, \"x\": -17}", "seed": "6821918153708984850", "semantic_fingerprint": "sha256:bb4460333da2d5dd6ec21c144ad13ff13064d5c5f0228db34c7be32adc4ba7b4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000002", "prompt": "Solve the equation 6(x + 767) + 2 = -11(x + 6) - 2 for x.", "solution_steps": ["Expand: 6x + 4602 + 2 = -11(x + 6) - 2", "Expand: 6x + 4602 + 2 = -11x - 66 - 2", "Combine constants: 6x + 4604 = -11x - 66 - 2", "Combine constants: 6x + 4604 = -11x - 68", "Add 11x to both sides: 17x + 4604 = -68", "Subtract 4604 from both sides: 17x = -4672", "Divide both sides by 17: x = -4672/17"], "final_answer": "-4672/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 767) + 2 = -11(x + 6) - 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 767, \"c\": 2, \"d\": -11, \"e\": 6, \"f\": 2}", "seed": "7571412074310260853", "semantic_fingerprint": "sha256:8fd2e3743899bea4ad9e3af719538066b020957782c08aa4449a757e6d1aad9c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000003", "prompt": "What is -77 - (-9 - (-28 - 2))?", "solution_steps": ["Subtract: -28 - 2 = -30", "Subtract: -9 - (-30) = 21", "Subtract: -77 - 21 = -98"], "final_answer": "-98", "answer_type": "integer", "kind": "expression", "math_text": "-77 - (-9 - (-28 - 2))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": -9, \"c\": -28, \"d\": 2}", "seed": "16371808267351924867", "semantic_fingerprint": "sha256:f3b98fd87d53f6430efbe282dfd8b09e5bdb3f73690fb25df0f0a064418610b0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000004", "prompt": "What is 5 * (-943) - (-136 - (-671 + 737))?", "solution_steps": ["Multiply: 5 * (-943) = -4715", "Add: -671 + 737 = 66", "Subtract: -136 - 66 = -202", "Subtract: -4715 - (-202) = -4513"], "final_answer": "-4513", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-943) - (-136 - (-671 + 737))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -943, \"c\": -136, \"d\": -671, \"e\": 737}", "seed": "8886946714741718770", "semantic_fingerprint": "sha256:caf00d9513be0176dccfcf39e6f37ef9808d0960658391d2d39933598d4f3c1b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000005", "prompt": "Solve for x: 4(x - 69) = 10x - 288", "solution_steps": ["Expand: 4x - 276 = 10x - 288", "Subtract 10x from both sides: -6x - 276 = -288", "Add 276 to both sides: -6x = -12", "Divide both sides by -6: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 69) = 10x - 288", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 69, \"c\": 10, \"e\": -288, \"x\": 2}", "seed": "10740488831528510734", "semantic_fingerprint": "sha256:3cb5c9ad825883586402d02c1853c2f13d5934a4c28aece518e8a41cdeed3a8c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000006", "prompt": "Solve the equation -3(x - 9) + 88 = 8(x + 9) - 122 for x.", "solution_steps": ["Expand: -3x + 27 + 88 = 8(x + 9) - 122", "Expand: -3x + 27 + 88 = 8x + 72 - 122", "Combine constants: -3x + 115 = 8x + 72 - 122", "Combine constants: -3x + 115 = 8x - 50", "Subtract 8x from both sides: -11x + 115 = -50", "Subtract 115 from both sides: -11x = -165", "Divide both sides by -11: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 9) + 88 = 8(x + 9) - 122", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 9, \"c\": 88, \"d\": 8, \"e\": 9, \"g\": -122, \"x\": 15}", "seed": "12847486426722116510", "semantic_fingerprint": "sha256:d129298817659830aa8632bcba6d4f056694544b182ce3a6bf118b627d4d37e8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000007", "prompt": "Solve the equation -3(x - 9) - 53 = -8(x - 3) for x.", "solution_steps": ["Expand: -3x + 27 - 53 = -8(x - 3)", "Expand: -3x + 27 - 53 = -8x + 24", "Combine constants: -3x - 26 = -8x + 24", "Add 8x to both sides: 5x - 26 = 24", "Add 26 to both sides: 5x = 50", "Divide both sides by 5: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 9) - 53 = -8(x - 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 9, \"c\": -8, \"d\": 3, \"f\": -53, \"x\": 10}", "seed": "18183727760179997040", "semantic_fingerprint": "sha256:a4453e36bfffabfb9fa990af76be85a1d5ca2ca9d9412637a22e8195bd9a6f50", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000008", "prompt": "What value of x satisfies -7(x - 35) - 223 = -4(x - 19)?", "solution_steps": ["Expand: -7x + 245 - 223 = -4(x - 19)", "Expand: -7x + 245 - 223 = -4x + 76", "Combine constants: -7x + 22 = -4x + 76", "Add 4x to both sides: -3x + 22 = 76", "Subtract 22 from both sides: -3x = 54", "Divide both sides by -3: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 35) - 223 = -4(x - 19)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 35, \"c\": -4, \"d\": 19, \"f\": -223, \"x\": -18}", "seed": "4954817309198029979", "semantic_fingerprint": "sha256:0761eb7cf06eb5a54fc956ead93722fb848731893b2b3edcf04d3a86498aa16c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000009", "prompt": "Find x: 7(x - 38) = 6x - 8", "solution_steps": ["Expand: 7x - 266 = 6x - 8", "Subtract 6x from both sides: x - 266 = -8", "Add 266 to both sides: x = 258"], "final_answer": "258", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 38) = 6x - 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 38, \"c\": 6, \"d\": 8}", "seed": "12768372380451368455", "semantic_fingerprint": "sha256:82c8b20acafc9d7c3344aaa9d97086ebd499fe149da5e6f3337533ab7267cd29", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000010", "prompt": "Evaluate: 45 / (-72) + 14 / (-717)", "solution_steps": ["Divide: 45 / (-72) = -5/8", "Divide: 14 / (-717) = -14/717", "Add: -5/8 + (-14/717) = -3697/5736"], "final_answer": "-3697/5736", "answer_type": "rational", "kind": "expression", "math_text": "45 / (-72) + 14 / (-717)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": -72, \"c\": 14, \"d\": -717}", "seed": "14192080067148504738", "semantic_fingerprint": "sha256:1d55f142896f8dfedac71675f4b91c9d8abf2dfb3b0480f72b3608b05ce80255", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000011", "prompt": "Compute: 443 + (-229) + (-36) + (405 / 1 - (-5))", "solution_steps": ["Add: 443 + (-229) = 214", "Add: 214 + (-36) = 178", "Divide: 405 / 1 = 405", "Subtract: 405 - (-5) = 410", "Add: 178 + 410 = 588"], "final_answer": "588", "answer_type": "integer", "kind": "expression", "math_text": "443 + (-229) + (-36) + (405 / 1 - (-5))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ n n) n) (- (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 443, \"b\": -229, \"c\": -36, \"d\": 405, \"e\": 1, \"f\": -5}", "seed": "14145829295527668166", "semantic_fingerprint": "sha256:847733e0737a274f2cb93bbd51cb79a887c8b12decb04dfd49ba0193fe2bb957", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000012", "prompt": "What value of x satisfies -7(x - 1) - 9 = -12(x - 72) - 861?", "solution_steps": ["Expand: -7x + 7 - 9 = -12(x - 72) - 861", "Expand: -7x + 7 - 9 = -12x + 864 - 861", "Combine constants: -7x - 2 = -12x + 864 - 861", "Combine constants: -7x - 2 = -12x + 3", "Add 12x to both sides: 5x - 2 = 3", "Add 2 to both sides: 5x = 5", "Divide both sides by 5: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 1) - 9 = -12(x - 72) - 861", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 1, \"c\": 9, \"d\": -12, \"e\": 72, \"g\": -861, \"x\": 1}", "seed": "17865836559379282310", "semantic_fingerprint": "sha256:d96bcf28b45365b99ae4e90d6e94eb9ba805937f2720491e2d7fb08353991368", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000013", "prompt": "Find x: 3(x + 58) - 28 = x - 73", "solution_steps": ["Expand: 3x + 174 - 28 = x - 73", "Combine constants: 3x + 146 = x - 73", "Subtract x from both sides: 2x + 146 = -73", "Subtract 146 from both sides: 2x = -219", "Divide both sides by 2: x = -219/2"], "final_answer": "-219/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 58) - 28 = x - 73", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 58, \"c\": 28, \"d\": 73}", "seed": "6773124299150994573", "semantic_fingerprint": "sha256:517caa426b97a67d1d8f025211c1a1212f67e4bbc88c2cf18029a3b29dfffbb7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000014", "prompt": "What value of x satisfies -9(x - 72) - 56 = 8(x - 41) - 82?", "solution_steps": ["Expand: -9x + 648 - 56 = 8(x - 41) - 82", "Expand: -9x + 648 - 56 = 8x - 328 - 82", "Combine constants: -9x + 592 = 8x - 328 - 82", "Combine constants: -9x + 592 = 8x - 410", "Subtract 8x from both sides: -17x + 592 = -410", "Subtract 592 from both sides: -17x = -1002", "Divide both sides by -17: x = 1002/17"], "final_answer": "1002/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 72) - 56 = 8(x - 41) - 82", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 72, \"c\": 56, \"d\": 8, \"e\": 41, \"f\": 82}", "seed": "15171002251338888861", "semantic_fingerprint": "sha256:c82e8be39e60500c44015a0407cfe0d4b2604600be235b2e1085ffec0ba35346", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000015", "prompt": "What value of x satisfies 6(x + 7) + 14 = 12(x + 54) - 664?", "solution_steps": ["Expand: 6x + 42 + 14 = 12(x + 54) - 664", "Expand: 6x + 42 + 14 = 12x + 648 - 664", "Combine constants: 6x + 56 = 12x + 648 - 664", "Combine constants: 6x + 56 = 12x - 16", "Subtract 12x from both sides: -6x + 56 = -16", "Subtract 56 from both sides: -6x = -72", "Divide both sides by -6: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 7) + 14 = 12(x + 54) - 664", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": 14, \"d\": 12, \"e\": 54, \"g\": -664, \"x\": 12}", "seed": "11372534654939026572", "semantic_fingerprint": "sha256:6bf96b19b533a0f617ad54ba6af6f5c37dbaadf5b26845c3d1c03abf5456c142", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000016", "prompt": "What is (213 + (-4) + (-9)) * 4?", "solution_steps": ["Add: 213 + (-4) = 209", "Add: 209 + (-9) = 200", "Multiply: 200 * 4 = 800"], "final_answer": "800", "answer_type": "integer", "kind": "expression", "math_text": "(213 + (-4) + (-9)) * 4", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 213, \"b\": -4, \"c\": -9, \"d\": 4}", "seed": "7689995397293200940", "semantic_fingerprint": "sha256:75fb478b3046f85a5393851abb8304d55939f35c75542cab9f816da127fdb165", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000017", "prompt": "What value of x satisfies x - 94 = 10(x - 194) + 6?", "solution_steps": ["Expand: x - 94 = 10x - 1940 + 6", "Combine constants: x - 94 = 10x - 1934", "Subtract 10x from both sides: -9x - 94 = -1934", "Add 94 to both sides: -9x = -1840", "Divide both sides by -9: x = 1840/9"], "final_answer": "1840/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 94 = 10(x - 194) + 6", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 10, \"c\": 194, \"d\": 6}", "seed": "4633134638022659269", "semantic_fingerprint": "sha256:2c5eccbf374185ad01691644c3c18a58c387cd7f927918d808fe79af88728127", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000018", "prompt": "What value of x satisfies 11(x - 873) - 6 = 2(x - 935)?", "solution_steps": ["Expand: 11x - 9603 - 6 = 2(x - 935)", "Expand: 11x - 9603 - 6 = 2x - 1870", "Combine constants: 11x - 9609 = 2x - 1870", "Subtract 2x from both sides: 9x - 9609 = -1870", "Add 9609 to both sides: 9x = 7739", "Divide both sides by 9: x = 7739/9"], "final_answer": "7739/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 873) - 6 = 2(x - 935)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 873, \"c\": 6, \"d\": 2, \"e\": 935}", "seed": "11795031069809598519", "semantic_fingerprint": "sha256:0efe744bac7e32283bb06d0a09c255f368d9b3ca37355cb767871d674a3a0cd9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000019", "prompt": "Calculate: -204 / 29 - (-122) * (-3 - (-78)) / (-71)", "solution_steps": ["Divide: -204 / 29 = -204/29", "Subtract: -3 - (-78) = 75", "Multiply: -122 * 75 = -9150", "Divide: -9150 / (-71) = 9150/71", "Subtract: -204/29 - 9150/71 = -279834/2059"], "final_answer": "-279834/2059", "answer_type": "rational", "kind": "expression", "math_text": "-204 / 29 - (-122) * (-3 - (-78)) / (-71)", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (/ (* n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -204, \"b\": 29, \"c\": -122, \"d\": -3, \"e\": -78, \"f\": -71}", "seed": "1738007900200054286", "semantic_fingerprint": "sha256:ad8c5eb7575cff6d49fae9fb533954a9c0237e405f0981ca8be22b5795641957", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000020", "prompt": "Evaluate: -80 + 841 - (-943 + 496)", "solution_steps": ["Add: -80 + 841 = 761", "Add: -943 + 496 = -447", "Subtract: 761 - (-447) = 1208"], "final_answer": "1208", "answer_type": "integer", "kind": "expression", "math_text": "-80 + 841 - (-943 + 496)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 841, \"c\": -943, \"d\": 496}", "seed": "17858292239674853198", "semantic_fingerprint": "sha256:de7bd5fc51551873a90c98037c7805d56228b360d819ea8cffb195de834800bd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000021", "prompt": "Solve for x: 5(x - 65) + 693 = -9(x - 8)", "solution_steps": ["Expand: 5x - 325 + 693 = -9(x - 8)", "Expand: 5x - 325 + 693 = -9x + 72", "Combine constants: 5x + 368 = -9x + 72", "Add 9x to both sides: 14x + 368 = 72", "Subtract 368 from both sides: 14x = -296", "Divide both sides by 14: x = -148/7"], "final_answer": "-148/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 65) + 693 = -9(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 65, \"c\": 693, \"d\": -9, \"e\": 8}", "seed": "9990216183281456899", "semantic_fingerprint": "sha256:7de9301229053bc1e6e97880fcba1d05d7fcc2927388befd07b9b353949b9215", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000022", "prompt": "Solve for x: -2(x + 3) + 8 = 3(x + 76) - 141", "solution_steps": ["Expand: -2x - 6 + 8 = 3(x + 76) - 141", "Expand: -2x - 6 + 8 = 3x + 228 - 141", "Combine constants: -2x + 2 = 3x + 228 - 141", "Combine constants: -2x + 2 = 3x + 87", "Subtract 3x from both sides: -5x + 2 = 87", "Subtract 2 from both sides: -5x = 85", "Divide both sides by -5: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 3) + 8 = 3(x + 76) - 141", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 3, \"c\": 8, \"d\": 3, \"e\": 76, \"g\": -141, \"x\": -17}", "seed": "2726704017568489670", "semantic_fingerprint": "sha256:6ba7f0c3af2402182688a18c7207838794f5c09f51372625b689db0e7de43e04", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000023", "prompt": "What value of x satisfies -9(x - 5) + 43 = 9(x + 18) - 164?", "solution_steps": ["Expand: -9x + 45 + 43 = 9(x + 18) - 164", "Expand: -9x + 45 + 43 = 9x + 162 - 164", "Combine constants: -9x + 88 = 9x + 162 - 164", "Combine constants: -9x + 88 = 9x - 2", "Subtract 9x from both sides: -18x + 88 = -2", "Subtract 88 from both sides: -18x = -90", "Divide both sides by -18: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 5) + 43 = 9(x + 18) - 164", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"c\": 43, \"d\": 9, \"e\": 18, \"g\": -164, \"x\": 5}", "seed": "4131344709518291950", "semantic_fingerprint": "sha256:a76f234a9c86ea41225353dfb4ca7222830e508789f20c7fec358ea99cbf4084", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000024", "prompt": "Evaluate: (8 - (-41)) * (-686 * (-8))", "solution_steps": ["Subtract: 8 - (-41) = 49", "Multiply: -686 * (-8) = 5488", "Multiply: 49 * 5488 = 268912"], "final_answer": "268912", "answer_type": "integer", "kind": "expression", "math_text": "(8 - (-41)) * (-686 * (-8))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -41, \"c\": -686, \"d\": -8}", "seed": "11847388571482857740", "semantic_fingerprint": "sha256:bc4104a853ccd6b2dc525e8dd14868256764daa47f1764c8370c71949f321b48", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000025", "prompt": "Calculate: 866 * (-13) / (3 + (-277))", "solution_steps": ["Multiply: 866 * (-13) = -11258", "Add: 3 + (-277) = -274", "Divide: -11258 / (-274) = 5629/137"], "final_answer": "5629/137", "answer_type": "rational", "kind": "expression", "math_text": "866 * (-13) / (3 + (-277))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 866, \"b\": -13, \"c\": 3, \"d\": -277}", "seed": "17509246187904461331", "semantic_fingerprint": "sha256:7e0a95973a781465ba4551940e26f3e843c44edacf6008a81aca3c7fcee13ec9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000026", "prompt": "Calculate: -22 + (-576) * (-3 / (-55)) + 111", "solution_steps": ["Divide: -3 / (-55) = 3/55", "Multiply: -576 * (3/55) = -1728/55", "Add: -22 + (-1728/55) = -2938/55", "Add: -2938/55 + 111 = 3167/55"], "final_answer": "3167/55", "answer_type": "rational", "kind": "expression", "math_text": "-22 + (-576) * (-3 / (-55)) + 111", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (* n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": -576, \"c\": -3, \"d\": -55, \"e\": 111}", "seed": "8432286763929433769", "semantic_fingerprint": "sha256:8f979151a91500c8ebd28430e5755a8343df4291a2b7537cb58f6aef14a0a2d8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000027", "prompt": "Calculate: 13 * (3 / 68 / (-6))", "solution_steps": ["Divide: 3 / 68 = 3/68", "Divide: (3/68) / (-6) = -1/136", "Multiply: 13 * (-1/136) = -13/136"], "final_answer": "-13/136", "answer_type": "rational", "kind": "expression", "math_text": "13 * (3 / 68 / (-6))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": 3, \"c\": 68, \"d\": -6}", "seed": "725055728896778782", "semantic_fingerprint": "sha256:8b2502f566981f3b60e7f89fad6c3dcd02419579c99e31f77e474e7fbdac623d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000028", "prompt": "Solve the equation 8(x - 29) - 560 = -9(x - 80) for x.", "solution_steps": ["Expand: 8x - 232 - 560 = -9(x - 80)", "Expand: 8x - 232 - 560 = -9x + 720", "Combine constants: 8x - 792 = -9x + 720", "Add 9x to both sides: 17x - 792 = 720", "Add 792 to both sides: 17x = 1512", "Divide both sides by 17: x = 1512/17"], "final_answer": "1512/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 29) - 560 = -9(x - 80)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 29, \"c\": 560, \"d\": -9, \"e\": 80}", "seed": "5879683181948227189", "semantic_fingerprint": "sha256:f0f53640265b9381f6924b7624af6a33e2f3170c91a62a14e2d974e8d2fcc9f5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000029", "prompt": "What is 5 / (-5 * (-77) / 4)?", "solution_steps": ["Multiply: -5 * (-77) = 385", "Divide: 385 / 4 = 385/4", "Divide: 5 / (385/4) = 4/77"], "final_answer": "4/77", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-5 * (-77) / 4)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -5, \"c\": -77, \"d\": 4}", "seed": "13092674377437200036", "semantic_fingerprint": "sha256:f5d00c08772a471b8272e707a86bf06131e6c81e82e8a6077703eea8860721b7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000030", "prompt": "Compute: (-9 + (-70)) / (479 / 85)", "solution_steps": ["Add: -9 + (-70) = -79", "Divide: 479 / 85 = 479/85", "Divide: -79 / (479/85) = -6715/479"], "final_answer": "-6715/479", "answer_type": "rational", "kind": "expression", "math_text": "(-9 + (-70)) / (479 / 85)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -70, \"c\": 479, \"d\": 85}", "seed": "9625843785031119485", "semantic_fingerprint": "sha256:4ecedd25954ac15bea4b9392b63d66a91d925e06866259fbb74e1c65ffc54ff9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000031", "prompt": "Evaluate: 7 * (922 * (15 / (-23 + (-8) / (-8))))", "solution_steps": ["Divide: -8 / (-8) = 1", "Add: -23 + 1 = -22", "Divide: 15 / (-22) = -15/22", "Multiply: 922 * (-15/22) = -6915/11", "Multiply: 7 * (-6915/11) = -48405/11"], "final_answer": "-48405/11", "answer_type": "rational", "kind": "expression", "math_text": "7 * (922 * (15 / (-23 + (-8) / (-8))))", "variable": null, "family": "expression_5op", "shape": "(* n (* n (/ n (+ n (/ n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 922, \"c\": 15, \"d\": -23, \"e\": -8, \"f\": -8}", "seed": "15802700252586308109", "semantic_fingerprint": "sha256:8f97e9e723c49475ebea3067f6b2013ae599bf89a46760262843c22d3bd0ba61", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000032", "prompt": "What is (-45 + (-62)) / (5 / (57 - 731)) - (-7)?", "solution_steps": ["Add: -45 + (-62) = -107", "Subtract: 57 - 731 = -674", "Divide: 5 / (-674) = -5/674", "Divide: -107 / (-5/674) = 72118/5", "Subtract: 72118/5 - (-7) = 72153/5"], "final_answer": "72153/5", "answer_type": "rational", "kind": "expression", "math_text": "(-45 + (-62)) / (5 / (57 - 731)) - (-7)", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ n n) (/ n (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": -62, \"c\": 5, \"d\": 57, \"e\": 731, \"f\": -7}", "seed": "15794830112264186550", "semantic_fingerprint": "sha256:ab8cf50f6b1bb3b683f8c2aa2fab9cd8fc01bdd03467da969af6266d996af1b8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000033", "prompt": "Evaluate: 45 / (4 - 0 + 27)", "solution_steps": ["Subtract: 4 - 0 = 4", "Add: 4 + 27 = 31", "Divide: 45 / 31 = 45/31"], "final_answer": "45/31", "answer_type": "rational", "kind": "expression", "math_text": "45 / (4 - 0 + 27)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": 4, \"c\": 0, \"d\": 27}", "seed": "10403399339795902009", "semantic_fingerprint": "sha256:b854e78c31ab85dfe55640a11657369b445148a61acf499b88a023336d3be68f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000034", "prompt": "What is (715 - 79) / (-4 * 7)?", "solution_steps": ["Subtract: 715 - 79 = 636", "Multiply: -4 * 7 = -28", "Divide: 636 / (-28) = -159/7"], "final_answer": "-159/7", "answer_type": "rational", "kind": "expression", "math_text": "(715 - 79) / (-4 * 7)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 715, \"b\": 79, \"c\": -4, \"d\": 7}", "seed": "4942693731221845841", "semantic_fingerprint": "sha256:2efd96e5250a08d5fbd12b9b19a1e25dba16ce80e0ddd026bb3857a682599f7b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000035", "prompt": "Evaluate: 5 / 2 * 22 - (-25) / 1", "solution_steps": ["Divide: 5 / 2 = 5/2", "Multiply: (5/2) * 22 = 55", "Divide: -25 / 1 = -25", "Subtract: 55 - (-25) = 80"], "final_answer": "80", "answer_type": "integer", "kind": "expression", "math_text": "5 / 2 * 22 - (-25) / 1", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 22, \"d\": -25, \"e\": 1}", "seed": "17056108461973099595", "semantic_fingerprint": "sha256:ec8d1bb4c24a4b227f02d08bb63af4111a87676fecc9118f0bf97325f0bc4ba2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000036", "prompt": "Solve for x: -9(x - 68) + 14 = -7(x + 38) - 3", "solution_steps": ["Expand: -9x + 612 + 14 = -7(x + 38) - 3", "Expand: -9x + 612 + 14 = -7x - 266 - 3", "Combine constants: -9x + 626 = -7x - 266 - 3", "Combine constants: -9x + 626 = -7x - 269", "Add 7x to both sides: -2x + 626 = -269", "Subtract 626 from both sides: -2x = -895", "Divide both sides by -2: x = 895/2"], "final_answer": "895/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 68) + 14 = -7(x + 38) - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 68, \"c\": 14, \"d\": -7, \"e\": 38, \"f\": 3}", "seed": "13086138673765995740", "semantic_fingerprint": "sha256:7ba726a6b7093c9f3bfa069771d8256c96de11e37287d739d1dee8ef41215a6c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000037", "prompt": "Compute: -491 + 14 / (-66) - (-8) * (-6 / (-52))", "solution_steps": ["Divide: 14 / (-66) = -7/33", "Add: -491 + (-7/33) = -16210/33", "Divide: -6 / (-52) = 3/26", "Multiply: -8 * (3/26) = -12/13", "Subtract: -16210/33 - (-12/13) = -210334/429"], "final_answer": "-210334/429", "answer_type": "rational", "kind": "expression", "math_text": "-491 + 14 / (-66) - (-8) * (-6 / (-52))", "variable": null, "family": "expression_5op", "shape": "(- (+ n (/ n n)) (* n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -491, \"b\": 14, \"c\": -66, \"d\": -8, \"e\": -6, \"f\": -52}", "seed": "2712566124309901445", "semantic_fingerprint": "sha256:4e6bc268a9f0d14962b459bd76dd24aac65d0caa07d07dcd1ae938c3847e0ded", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000038", "prompt": "Compute: -2 * ((910 + (-224)) / (-86)) - (-54)", "solution_steps": ["Add: 910 + (-224) = 686", "Divide: 686 / (-86) = -343/43", "Multiply: -2 * (-343/43) = 686/43", "Subtract: 686/43 - (-54) = 3008/43"], "final_answer": "3008/43", "answer_type": "rational", "kind": "expression", "math_text": "-2 * ((910 + (-224)) / (-86)) - (-54)", "variable": null, "family": "expression_4op", "shape": "(- (* n (/ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 910, \"c\": -224, \"d\": -86, \"e\": -54}", "seed": "11364830752539592041", "semantic_fingerprint": "sha256:f6750fb09228bfcdd925fcacccfce1d812be892b4b64b3b3e296a9ce15b8c688", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000039", "prompt": "What value of x satisfies 10(x - 8) + 796 = -12(x - 56)?", "solution_steps": ["Expand: 10x - 80 + 796 = -12(x - 56)", "Expand: 10x - 80 + 796 = -12x + 672", "Combine constants: 10x + 716 = -12x + 672", "Add 12x to both sides: 22x + 716 = 672", "Subtract 716 from both sides: 22x = -44", "Divide both sides by 22: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 8) + 796 = -12(x - 56)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"c\": -12, \"d\": 56, \"f\": 796, \"x\": -2}", "seed": "12974525338224857455", "semantic_fingerprint": "sha256:5f4b65a84ea88fc69679d110cbabb245ba0f61ae30eb86fb2337862ea172b786", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000040", "prompt": "Compute: 9 + (-315) - (-1) / 2 + 233 / 256", "solution_steps": ["Add: 9 + (-315) = -306", "Divide: -1 / 2 = -1/2", "Subtract: -306 - (-1/2) = -611/2", "Divide: 233 / 256 = 233/256", "Add: -611/2 + 233/256 = -77975/256"], "final_answer": "-77975/256", "answer_type": "rational", "kind": "expression", "math_text": "9 + (-315) - (-1) / 2 + 233 / 256", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n n) (/ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -315, \"c\": -1, \"d\": 2, \"e\": 233, \"f\": 256}", "seed": "7027657012614227941", "semantic_fingerprint": "sha256:ef4f6a2fb39b686152e79f52218b0ed072adf9f74a16971ff48045bdf4b96c04", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000041", "prompt": "Solve the equation x - 1 = 5(x - 40) + 183 for x.", "solution_steps": ["Expand: x - 1 = 5x - 200 + 183", "Combine constants: x - 1 = 5x - 17", "Subtract 5x from both sides: -4x - 1 = -17", "Add 1 to both sides: -4x = -16", "Divide both sides by -4: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1 = 5(x - 40) + 183", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 5, \"c\": 40, \"e\": 183, \"x\": 4}", "seed": "752442640943655117", "semantic_fingerprint": "sha256:4c79026dd9d19964db215cad5b3bbce7155a3b35ca969dd140a9dc78e27dca88", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000042", "prompt": "Calculate: (-20 + 457 - 633) * (-21) + 266 + 521", "solution_steps": ["Add: -20 + 457 = 437", "Subtract: 437 - 633 = -196", "Multiply: -196 * (-21) = 4116", "Add: 4116 + 266 = 4382", "Add: 4382 + 521 = 4903"], "final_answer": "4903", "answer_type": "integer", "kind": "expression", "math_text": "(-20 + 457 - 633) * (-21) + 266 + 521", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* (- (+ n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 457, \"c\": 633, \"d\": -21, \"e\": 266, \"f\": 521}", "seed": "13294147784529272500", "semantic_fingerprint": "sha256:3a963ca21dc71051921f1e0caef06af7a344f603174587093a9cf8b56e92df6c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000043", "prompt": "Find x: 7(x - 63) + 16 = -5x + 46", "solution_steps": ["Expand: 7x - 441 + 16 = -5x + 46", "Combine constants: 7x - 425 = -5x + 46", "Add 5x to both sides: 12x - 425 = 46", "Add 425 to both sides: 12x = 471", "Divide both sides by 12: x = 157/4"], "final_answer": "157/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 63) + 16 = -5x + 46", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 63, \"c\": 16, \"d\": -5, \"e\": 46}", "seed": "1314168767929235478", "semantic_fingerprint": "sha256:d7cbc9932025ed37c989eacc373d18c6f7f9d1c0a5a0fe51a17e819993acc031", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000044", "prompt": "Calculate: (1 + (-7) - (-55)) * (580 + (-99)) * 2", "solution_steps": ["Add: 1 + (-7) = -6", "Subtract: -6 - (-55) = 49", "Add: 580 + (-99) = 481", "Multiply: 49 * 481 = 23569", "Multiply: 23569 * 2 = 47138"], "final_answer": "47138", "answer_type": "integer", "kind": "expression", "math_text": "(1 + (-7) - (-55)) * (580 + (-99)) * 2", "variable": null, "family": "expression_5op", "shape": "(* (* (- (+ n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -7, \"c\": -55, \"d\": 580, \"e\": -99, \"f\": 2}", "seed": "15428485605815557979", "semantic_fingerprint": "sha256:d4710c42abd6eb05f98f5031cbaf43ac9762e0483cf77f80caccb3295fe5906b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000045", "prompt": "Compute: 0 + (-713 + (-6)) - 981", "solution_steps": ["Add: -713 + (-6) = -719", "Add: 0 + (-719) = -719", "Subtract: -719 - 981 = -1700"], "final_answer": "-1700", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-713 + (-6)) - 981", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -713, \"c\": -6, \"d\": 981}", "seed": "17613197777145105412", "semantic_fingerprint": "sha256:60897b18628b7259cbebbaf64619afe564d44aca3d5568748e9965437d736303", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000046", "prompt": "Compute: -428 - 43 - (-38 / (-91) + 747)", "solution_steps": ["Subtract: -428 - 43 = -471", "Divide: -38 / (-91) = 38/91", "Add: 38/91 + 747 = 68015/91", "Subtract: -471 - 68015/91 = -110876/91"], "final_answer": "-110876/91", "answer_type": "rational", "kind": "expression", "math_text": "-428 - 43 - (-38 / (-91) + 747)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -428, \"b\": 43, \"c\": -38, \"d\": -91, \"e\": 747}", "seed": "7050441742578857093", "semantic_fingerprint": "sha256:d032c84a782ed1bb12789d2ae2d9ccb21c30d0467d11161a36cb91610c636c4c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000047", "prompt": "Compute: -89 - (-81) - (926 / (-8) + 2)", "solution_steps": ["Subtract: -89 - (-81) = -8", "Divide: 926 / (-8) = -463/4", "Add: -463/4 + 2 = -455/4", "Subtract: -8 - (-455/4) = 423/4"], "final_answer": "423/4", "answer_type": "rational", "kind": "expression", "math_text": "-89 - (-81) - (926 / (-8) + 2)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": -81, \"c\": 926, \"d\": -8, \"e\": 2}", "seed": "4361121854808730568", "semantic_fingerprint": "sha256:ca774a4493af92c01be29b4597597942653d1f71b06e9c3a4f0dd0889403f1e4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000048", "prompt": "Calculate: (603 + (-88) + 31) * 28", "solution_steps": ["Add: 603 + (-88) = 515", "Add: 515 + 31 = 546", "Multiply: 546 * 28 = 15288"], "final_answer": "15288", "answer_type": "integer", "kind": "expression", "math_text": "(603 + (-88) + 31) * 28", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 603, \"b\": -88, \"c\": 31, \"d\": 28}", "seed": "14380772174926714507", "semantic_fingerprint": "sha256:ba0494ffea6be965ab60bce289343b6e021d8035fac2187c68b23e25e8a7e671", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000049", "prompt": "Find x: x - 86 = 4(x - 90) + 322", "solution_steps": ["Expand: x - 86 = 4x - 360 + 322", "Combine constants: x - 86 = 4x - 38", "Subtract 4x from both sides: -3x - 86 = -38", "Add 86 to both sides: -3x = 48", "Divide both sides by -3: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 86 = 4(x - 90) + 322", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 4, \"c\": 90, \"e\": 322, \"x\": -16}", "seed": "8335678137859725505", "semantic_fingerprint": "sha256:1783269200e104a8855933d7cbaf96bb7174e6706b1dc1a0f00e26d036e79d1f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000050", "prompt": "Solve the equation 6(x - 72) = 10x - 27 for x.", "solution_steps": ["Expand: 6x - 432 = 10x - 27", "Subtract 10x from both sides: -4x - 432 = -27", "Add 432 to both sides: -4x = 405", "Divide both sides by -4: x = -405/4"], "final_answer": "-405/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 72) = 10x - 27", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 72, \"c\": 10, \"d\": 27}", "seed": "5760625278127418932", "semantic_fingerprint": "sha256:1b22843d605a5c4843762ce34544377769cd6f6a52a84cb2b6f7faaed5d0963a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000051", "prompt": "What value of x satisfies 7(x - 4) = 9x - 4?", "solution_steps": ["Expand: 7x - 28 = 9x - 4", "Subtract 9x from both sides: -2x - 28 = -4", "Add 28 to both sides: -2x = 24", "Divide both sides by -2: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 4) = 9x - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 9, \"d\": 4}", "seed": "16125342451385067120", "semantic_fingerprint": "sha256:35ae900d4715feb41e84e6f6da750d57f3ccacf99823f15989e7e8306fd50cfa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000052", "prompt": "Compute: 4 / ((61 * 4 - (-7)) / 45)", "solution_steps": ["Multiply: 61 * 4 = 244", "Subtract: 244 - (-7) = 251", "Divide: 251 / 45 = 251/45", "Divide: 4 / (251/45) = 180/251"], "final_answer": "180/251", "answer_type": "rational", "kind": "expression", "math_text": "4 / ((61 * 4 - (-7)) / 45)", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (- (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 61, \"c\": 4, \"d\": -7, \"e\": 45}", "seed": "14406722317472066040", "semantic_fingerprint": "sha256:1185d7fcb1475116531831c3db27856a1e37360752e81cae6ac2af49d8bde8ac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000053", "prompt": "Solve for x: 2(x + 463) - 41 = x - 323", "solution_steps": ["Expand: 2x + 926 - 41 = x - 323", "Combine constants: 2x + 885 = x - 323", "Subtract x from both sides: x + 885 = -323", "Subtract 885 from both sides: x = -1208"], "final_answer": "-1208", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 463) - 41 = x - 323", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 463, \"c\": 41, \"d\": 323}", "seed": "3889239751088568794", "semantic_fingerprint": "sha256:3c1736b3ec6b72a6410567386df431e87219a6368caa1a5e37f84640e5a60e87", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000054", "prompt": "Evaluate: -6 * 3 / (-332 / (-95 - 48))", "solution_steps": ["Multiply: -6 * 3 = -18", "Subtract: -95 - 48 = -143", "Divide: -332 / (-143) = 332/143", "Divide: -18 / (332/143) = -1287/166"], "final_answer": "-1287/166", "answer_type": "rational", "kind": "expression", "math_text": "-6 * 3 / (-332 / (-95 - 48))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 3, \"c\": -332, \"d\": -95, \"e\": 48}", "seed": "9017380513407525637", "semantic_fingerprint": "sha256:74d3cf3f5e28f1fa5636a3a441a4542450b4b9595d0d751cafce6e09a7e3477d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000055", "prompt": "Compute: 17 - 791 - (-98) * 5 - (-2)", "solution_steps": ["Subtract: 17 - 791 = -774", "Multiply: -98 * 5 = -490", "Subtract: -774 - (-490) = -284", "Subtract: -284 - (-2) = -282"], "final_answer": "-282", "answer_type": "integer", "kind": "expression", "math_text": "17 - 791 - (-98) * 5 - (-2)", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": 791, \"c\": -98, \"d\": 5, \"e\": -2}", "seed": "10350581985268951757", "semantic_fingerprint": "sha256:f3c7441d437d23698c44b112db10421b0fcc59d315739fd70225068201dbc8c9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000056", "prompt": "Compute: 95 / (-585 + 0 / 76 * 990 / 29)", "solution_steps": ["Divide: 0 / 76 = 0", "Multiply: 0 * 990 = 0", "Divide: 0 / 29 = 0", "Add: -585 + 0 = -585", "Divide: 95 / (-585) = -19/117"], "final_answer": "-19/117", "answer_type": "rational", "kind": "expression", "math_text": "95 / (-585 + 0 / 76 * 990 / 29)", "variable": null, "family": "expression_5op", "shape": "(/ n (+ n (/ (* (/ n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -585, \"c\": 0, \"d\": 76, \"e\": 990, \"f\": 29}", "seed": "531126072564768161", "semantic_fingerprint": "sha256:c7a51c79a82a2e1ed320a94f4c2688a5b8766b1e151aacce699055f7808bd860", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000057", "prompt": "Calculate: (-41 - 4) * (20 * (-26))", "solution_steps": ["Subtract: -41 - 4 = -45", "Multiply: 20 * (-26) = -520", "Multiply: -45 * (-520) = 23400"], "final_answer": "23400", "answer_type": "integer", "kind": "expression", "math_text": "(-41 - 4) * (20 * (-26))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": 4, \"c\": 20, \"d\": -26}", "seed": "6864625728105394144", "semantic_fingerprint": "sha256:d011fbbf4e4feae64b130d179e6b33b67ed5181794d00964ba413572d92e49ef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000058", "prompt": "Solve for x: 9(x - 3) - 197 = 11(x - 6) - 184", "solution_steps": ["Expand: 9x - 27 - 197 = 11(x - 6) - 184", "Expand: 9x - 27 - 197 = 11x - 66 - 184", "Combine constants: 9x - 224 = 11x - 66 - 184", "Combine constants: 9x - 224 = 11x - 250", "Subtract 11x from both sides: -2x - 224 = -250", "Add 224 to both sides: -2x = -26", "Divide both sides by -2: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 3) - 197 = 11(x - 6) - 184", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 197, \"d\": 11, \"e\": 6, \"g\": -184, \"x\": 13}", "seed": "3200704673232007725", "semantic_fingerprint": "sha256:9e3afe676a91ab640f2f7529f351b8d5a88b337109560f0cc9b1a284e20e41a7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000059", "prompt": "What value of x satisfies 5(x + 838) - 6 = x - 603?", "solution_steps": ["Expand: 5x + 4190 - 6 = x - 603", "Combine constants: 5x + 4184 = x - 603", "Subtract x from both sides: 4x + 4184 = -603", "Subtract 4184 from both sides: 4x = -4787", "Divide both sides by 4: x = -4787/4"], "final_answer": "-4787/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 838) - 6 = x - 603", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 838, \"c\": 6, \"d\": 603}", "seed": "4574241500572354822", "semantic_fingerprint": "sha256:0a6811f86a3b0acbd0ef1bbe82c5b2806810f998e4f2397d36ebcad8b3d94a28", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000060", "prompt": "Compute: -91 / (-13 - 649 - (-6))", "solution_steps": ["Subtract: -13 - 649 = -662", "Subtract: -662 - (-6) = -656", "Divide: -91 / (-656) = 91/656"], "final_answer": "91/656", "answer_type": "rational", "kind": "expression", "math_text": "-91 / (-13 - 649 - (-6))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -13, \"c\": 649, \"d\": -6}", "seed": "189092364409825458", "semantic_fingerprint": "sha256:dd7f51fa5ac0ce3e1374802382849ad9e9e62ec4c2fe030e1c9e78fa71805634", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000061", "prompt": "Compute: -67 * ((16 - 70) / (-324 / 29))", "solution_steps": ["Subtract: 16 - 70 = -54", "Divide: -324 / 29 = -324/29", "Divide: -54 / (-324/29) = 29/6", "Multiply: -67 * (29/6) = -1943/6"], "final_answer": "-1943/6", "answer_type": "rational", "kind": "expression", "math_text": "-67 * ((16 - 70) / (-324 / 29))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": 16, \"c\": 70, \"d\": -324, \"e\": 29}", "seed": "15623281857860980006", "semantic_fingerprint": "sha256:71357362d131317b6c2f3937a80745362ea14f98c327fba0e2f8901d7ad1ba67", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000062", "prompt": "What is 207 / 8 + 387 / 65?", "solution_steps": ["Divide: 207 / 8 = 207/8", "Divide: 387 / 65 = 387/65", "Add: 207/8 + 387/65 = 16551/520"], "final_answer": "16551/520", "answer_type": "rational", "kind": "expression", "math_text": "207 / 8 + 387 / 65", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 207, \"b\": 8, \"c\": 387, \"d\": 65}", "seed": "9648492406623676462", "semantic_fingerprint": "sha256:2b48249aee93af5424d710b4ac45830b35a498f2d3e371b6c43eb13d07f7e48e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000063", "prompt": "Calculate: (-106 * (-29) + (-74)) * (-50)", "solution_steps": ["Multiply: -106 * (-29) = 3074", "Add: 3074 + (-74) = 3000", "Multiply: 3000 * (-50) = -150000"], "final_answer": "-150000", "answer_type": "integer", "kind": "expression", "math_text": "(-106 * (-29) + (-74)) * (-50)", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -106, \"b\": -29, \"c\": -74, \"d\": -50}", "seed": "15830283851683596856", "semantic_fingerprint": "sha256:86a769492b7c360a0806079b4f3ddc13b799f3404dd185898ead34b3169cf5bc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000064", "prompt": "Solve for x: -6x - 29 = -12(x + 56) + 709", "solution_steps": ["Expand: -6x - 29 = -12x - 672 + 709", "Combine constants: -6x - 29 = -12x + 37", "Add 12x to both sides: 6x - 29 = 37", "Add 29 to both sides: 6x = 66", "Divide both sides by 6: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 29 = -12(x + 56) + 709", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 29, \"c\": -12, \"d\": 56, \"f\": 709, \"x\": 11}", "seed": "14880199225160688757", "semantic_fingerprint": "sha256:ae783648e80d465cb2b63e568b11533a30096bea8633183a79717d7609f5dd9e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000065", "prompt": "Evaluate: (629 - (87 - (-705))) / (-33 * (-89 - (-63)))", "solution_steps": ["Subtract: 87 - (-705) = 792", "Subtract: 629 - 792 = -163", "Subtract: -89 - (-63) = -26", "Multiply: -33 * (-26) = 858", "Divide: -163 / 858 = -163/858"], "final_answer": "-163/858", "answer_type": "rational", "kind": "expression", "math_text": "(629 - (87 - (-705))) / (-33 * (-89 - (-63)))", "variable": null, "family": "expression_5op", "shape": "(/ (- n (- n n)) (* n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 629, \"b\": 87, \"c\": -705, \"d\": -33, \"e\": -89, \"f\": -63}", "seed": "11000239669033530063", "semantic_fingerprint": "sha256:16757f3ee9e1f05763b66f5a8e98fc11ca1b3484bbe977b163ba8c184c548901", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000066", "prompt": "Find x: -11(x - 40) + 63 = 3(x + 35) - 7", "solution_steps": ["Expand: -11x + 440 + 63 = 3(x + 35) - 7", "Expand: -11x + 440 + 63 = 3x + 105 - 7", "Combine constants: -11x + 503 = 3x + 105 - 7", "Combine constants: -11x + 503 = 3x + 98", "Subtract 3x from both sides: -14x + 503 = 98", "Subtract 503 from both sides: -14x = -405", "Divide both sides by -14: x = 405/14"], "final_answer": "405/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 40) + 63 = 3(x + 35) - 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 40, \"c\": 63, \"d\": 3, \"e\": 35, \"f\": 7}", "seed": "1038058961178451840", "semantic_fingerprint": "sha256:691a012d7e3497883d9b04ee3914e574ed448548c7969cded339239ae50afacd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000067", "prompt": "Calculate: 59 * (-8) * 2 / (-14 / 551)", "solution_steps": ["Multiply: 59 * (-8) = -472", "Multiply: -472 * 2 = -944", "Divide: -14 / 551 = -14/551", "Divide: -944 / (-14/551) = 260072/7"], "final_answer": "260072/7", "answer_type": "rational", "kind": "expression", "math_text": "59 * (-8) * 2 / (-14 / 551)", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": -8, \"c\": 2, \"d\": -14, \"e\": 551}", "seed": "5317388634332346825", "semantic_fingerprint": "sha256:919967255b9052054f64ec5b2775fabfdaa77a5ec0c403ceb076d4b04b297f82", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000068", "prompt": "Find x: 5(x - 16) + 1 = 12(x + 71) - 847", "solution_steps": ["Expand: 5x - 80 + 1 = 12(x + 71) - 847", "Expand: 5x - 80 + 1 = 12x + 852 - 847", "Combine constants: 5x - 79 = 12x + 852 - 847", "Combine constants: 5x - 79 = 12x + 5", "Subtract 12x from both sides: -7x - 79 = 5", "Add 79 to both sides: -7x = 84", "Divide both sides by -7: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 16) + 1 = 12(x + 71) - 847", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 16, \"c\": 1, \"d\": 12, \"e\": 71, \"g\": -847, \"x\": -12}", "seed": "6048672845482323491", "semantic_fingerprint": "sha256:04ccb6bd2689f80aaced4a7b2f413e65bcfa9a86407915b10ccc0e66f14815a9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000069", "prompt": "What is (-91 - 4 - (-418) - 0) / (-36 + 15)?", "solution_steps": ["Subtract: -91 - 4 = -95", "Subtract: -95 - (-418) = 323", "Subtract: 323 - 0 = 323", "Add: -36 + 15 = -21", "Divide: 323 / (-21) = -323/21"], "final_answer": "-323/21", "answer_type": "rational", "kind": "expression", "math_text": "(-91 - 4 - (-418) - 0) / (-36 + 15)", "variable": null, "family": "expression_5op", "shape": "(/ (- (- (- n n) n) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": 4, \"c\": -418, \"d\": 0, \"e\": -36, \"f\": 15}", "seed": "5378763714160479173", "semantic_fingerprint": "sha256:dc5d8f7c3496b930dcfad4260d0e9cbfc339343457f0d0c8a0f3cc7957a08a59", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000070", "prompt": "Find x: -2(x - 590) - 24 = 4(x - 191)", "solution_steps": ["Expand: -2x + 1180 - 24 = 4(x - 191)", "Expand: -2x + 1180 - 24 = 4x - 764", "Combine constants: -2x + 1156 = 4x - 764", "Subtract 4x from both sides: -6x + 1156 = -764", "Subtract 1156 from both sides: -6x = -1920", "Divide both sides by -6: x = 320"], "final_answer": "320", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 590) - 24 = 4(x - 191)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 590, \"c\": 24, \"d\": 4, \"e\": 191}", "seed": "1997307934501881956", "semantic_fingerprint": "sha256:69f770b6bee49a10be5b384dde51072b7e013552d46bd2b5c41d72d189767bbd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000071", "prompt": "What is (-35 + 5 + 67) * 965 / 4?", "solution_steps": ["Add: -35 + 5 = -30", "Add: -30 + 67 = 37", "Multiply: 37 * 965 = 35705", "Divide: 35705 / 4 = 35705/4"], "final_answer": "35705/4", "answer_type": "rational", "kind": "expression", "math_text": "(-35 + 5 + 67) * 965 / 4", "variable": null, "family": "expression_4op", "shape": "(/ (* (+ (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": 5, \"c\": 67, \"d\": 965, \"e\": 4}", "seed": "5905179059303838127", "semantic_fingerprint": "sha256:f25a5859ffd7bb8205bb942513c4813800aee0f8eadc56762daf361a35d95b19", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000072", "prompt": "What is 3 + (-16) / 995 * (-2 * (-147) * (-420))?", "solution_steps": ["Divide: -16 / 995 = -16/995", "Multiply: -2 * (-147) = 294", "Multiply: 294 * (-420) = -123480", "Multiply: (-16/995) * (-123480) = 395136/199", "Add: 3 + 395136/199 = 395733/199"], "final_answer": "395733/199", "answer_type": "rational", "kind": "expression", "math_text": "3 + (-16) / 995 * (-2 * (-147) * (-420))", "variable": null, "family": "expression_5op", "shape": "(+ n (* (/ n n) (* (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -16, \"c\": 995, \"d\": -2, \"e\": -147, \"f\": -420}", "seed": "5272879646903619965", "semantic_fingerprint": "sha256:acdfe5a763e8fc0aa8f39e40009c7bdab5adf7d066537cd155cc1b6644a1e649", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000073", "prompt": "What is 395 / 12 + 59 / (-84)?", "solution_steps": ["Divide: 395 / 12 = 395/12", "Divide: 59 / (-84) = -59/84", "Add: 395/12 + (-59/84) = 451/14"], "final_answer": "451/14", "answer_type": "rational", "kind": "expression", "math_text": "395 / 12 + 59 / (-84)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 395, \"b\": 12, \"c\": 59, \"d\": -84}", "seed": "69234080212994630", "semantic_fingerprint": "sha256:cdb67c52a0229f6bbc3cf5dcca9cf21a2f157696b8fbe9c824a616f43ec6700b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000074", "prompt": "Compute: 8 + (-70) - (0 + (-68))", "solution_steps": ["Add: 8 + (-70) = -62", "Add: 0 + (-68) = -68", "Subtract: -62 - (-68) = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "8 + (-70) - (0 + (-68))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -70, \"c\": 0, \"d\": -68}", "seed": "14092758184367677789", "semantic_fingerprint": "sha256:3b7faf99c02c68bdedd6b3a9851db513be58b2c73ccc70d8a620eba6586b9c8c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000075", "prompt": "Compute: 70 * (-83) * (-23) / 704 + 5", "solution_steps": ["Multiply: 70 * (-83) = -5810", "Multiply: -5810 * (-23) = 133630", "Divide: 133630 / 704 = 66815/352", "Add: 66815/352 + 5 = 68575/352"], "final_answer": "68575/352", "answer_type": "rational", "kind": "expression", "math_text": "70 * (-83) * (-23) / 704 + 5", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -83, \"c\": -23, \"d\": 704, \"e\": 5}", "seed": "9060509156229346378", "semantic_fingerprint": "sha256:bf2a399e4bfa989381bf78f61ef198cc892cb538f2ac64cb26079e3b07129daf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000076", "prompt": "Evaluate: (90 + 9 + 31) * (-717)", "solution_steps": ["Add: 90 + 9 = 99", "Add: 99 + 31 = 130", "Multiply: 130 * (-717) = -93210"], "final_answer": "-93210", "answer_type": "integer", "kind": "expression", "math_text": "(90 + 9 + 31) * (-717)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": 9, \"c\": 31, \"d\": -717}", "seed": "3767458337611613457", "semantic_fingerprint": "sha256:d17a9bcc294b491cef07812e8f4ee8e1121b55edc4382cb3d310d11e7cff209c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000077", "prompt": "Evaluate: 0 * (-35) / (-5 + (-93))", "solution_steps": ["Multiply: 0 * (-35) = 0", "Add: -5 + (-93) = -98", "Divide: 0 / (-98) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-35) / (-5 + (-93))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -35, \"c\": -5, \"d\": -93}", "seed": "1444758573550318103", "semantic_fingerprint": "sha256:7c848033d521d6d2c9e00202f908f58c9c8bb8f6dd420c177c3e1fc83866eb19", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000078", "prompt": "Find x: x - 30 = 8(x - 4) + 128", "solution_steps": ["Expand: x - 30 = 8x - 32 + 128", "Combine constants: x - 30 = 8x + 96", "Subtract 8x from both sides: -7x - 30 = 96", "Add 30 to both sides: -7x = 126", "Divide both sides by -7: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 30 = 8(x - 4) + 128", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 8, \"c\": 4, \"e\": 128, \"x\": -18}", "seed": "16313227710444464406", "semantic_fingerprint": "sha256:2b06795f19fa102f662a8aad81a846128fe580d57fb1e6d0d990c829b0be5675", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000079", "prompt": "What value of x satisfies 9x - 5 = 4(x + 7) + 47?", "solution_steps": ["Expand: 9x - 5 = 4x + 28 + 47", "Combine constants: 9x - 5 = 4x + 75", "Subtract 4x from both sides: 5x - 5 = 75", "Add 5 to both sides: 5x = 80", "Divide both sides by 5: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 5 = 4(x + 7) + 47", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 4, \"d\": 7, \"f\": 47, \"x\": 16}", "seed": "9020110388622037877", "semantic_fingerprint": "sha256:cc58cdd622a3314e284557db817ffcc15b68ee9b177d566c7664ab16d14c83c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000080", "prompt": "Evaluate: 20 - (26 * (-93) + (-205))", "solution_steps": ["Multiply: 26 * (-93) = -2418", "Add: -2418 + (-205) = -2623", "Subtract: 20 - (-2623) = 2643"], "final_answer": "2643", "answer_type": "integer", "kind": "expression", "math_text": "20 - (26 * (-93) + (-205))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": 26, \"c\": -93, \"d\": -205}", "seed": "7638771142506439773", "semantic_fingerprint": "sha256:9d0c68de483bc18f62a03182e03ac67107a91a970cd24a5222309088efb83e28", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000081", "prompt": "What value of x satisfies 8(x - 73) + 6 = 5(x + 64) - 940?", "solution_steps": ["Expand: 8x - 584 + 6 = 5(x + 64) - 940", "Expand: 8x - 584 + 6 = 5x + 320 - 940", "Combine constants: 8x - 578 = 5x + 320 - 940", "Combine constants: 8x - 578 = 5x - 620", "Subtract 5x from both sides: 3x - 578 = -620", "Add 578 to both sides: 3x = -42", "Divide both sides by 3: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 73) + 6 = 5(x + 64) - 940", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 73, \"c\": 6, \"d\": 5, \"e\": 64, \"g\": -940, \"x\": -14}", "seed": "12733525954927664490", "semantic_fingerprint": "sha256:32aca5a97b7268a5ce3f595ff5f6ff82c3ec9ed1d9c0eb6077bfab691ac90d54", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000082", "prompt": "Calculate: (-8 - 1) / (528 * 16)", "solution_steps": ["Subtract: -8 - 1 = -9", "Multiply: 528 * 16 = 8448", "Divide: -9 / 8448 = -3/2816"], "final_answer": "-3/2816", "answer_type": "rational", "kind": "expression", "math_text": "(-8 - 1) / (528 * 16)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 1, \"c\": 528, \"d\": 16}", "seed": "4043489915264878927", "semantic_fingerprint": "sha256:17511541af05cfcfc5fe48b0055d68415fc12eeed3533451fb8f08508e63996a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000083", "prompt": "Compute: -22 + (-65 * (-21) - (-9))", "solution_steps": ["Multiply: -65 * (-21) = 1365", "Subtract: 1365 - (-9) = 1374", "Add: -22 + 1374 = 1352"], "final_answer": "1352", "answer_type": "integer", "kind": "expression", "math_text": "-22 + (-65 * (-21) - (-9))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": -65, \"c\": -21, \"d\": -9}", "seed": "17113254131986561069", "semantic_fingerprint": "sha256:299be60226e0c98326a656febcd46397202988dc40b558d7e23d1a774b962687", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000084", "prompt": "Solve the equation -8(x - 3) = 7x - 186 for x.", "solution_steps": ["Expand: -8x + 24 = 7x - 186", "Subtract 7x from both sides: -15x + 24 = -186", "Subtract 24 from both sides: -15x = -210", "Divide both sides by -15: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 3) = 7x - 186", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"c\": 7, \"e\": -186, \"x\": 14}", "seed": "41736404475410451", "semantic_fingerprint": "sha256:8ad15afd518c33640f548507ff4c11060a1b21bef7ba75c7806ec695e6ed88d0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000085", "prompt": "Evaluate: 3 - (7 + (-11)) / 566 / 23", "solution_steps": ["Add: 7 + (-11) = -4", "Divide: -4 / 566 = -2/283", "Divide: (-2/283) / 23 = -2/6509", "Subtract: 3 - (-2/6509) = 19529/6509"], "final_answer": "19529/6509", "answer_type": "rational", "kind": "expression", "math_text": "3 - (7 + (-11)) / 566 / 23", "variable": null, "family": "expression_4op", "shape": "(- n (/ (/ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": -11, \"d\": 566, \"e\": 23}", "seed": "9036790835286670506", "semantic_fingerprint": "sha256:23dd2d75782454f4da6809c9374ede47187a54029ba972ec4c75d3471c047c3c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000086", "prompt": "What value of x satisfies -8(x - 72) - 446 = -3(x - 40)?", "solution_steps": ["Expand: -8x + 576 - 446 = -3(x - 40)", "Expand: -8x + 576 - 446 = -3x + 120", "Combine constants: -8x + 130 = -3x + 120", "Add 3x to both sides: -5x + 130 = 120", "Subtract 130 from both sides: -5x = -10", "Divide both sides by -5: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 72) - 446 = -3(x - 40)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 72, \"c\": -3, \"d\": 40, \"f\": -446, \"x\": 2}", "seed": "18299912200048341179", "semantic_fingerprint": "sha256:754d48090c134082d348c8b0641552c19d9f2c447075479d174b9d440f4dbb68", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000087", "prompt": "Calculate: -1 / 1 + 43 / (-73)", "solution_steps": ["Divide: -1 / 1 = -1", "Divide: 43 / (-73) = -43/73", "Add: -1 + (-43/73) = -116/73"], "final_answer": "-116/73", "answer_type": "rational", "kind": "expression", "math_text": "-1 / 1 + 43 / (-73)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 1, \"c\": 43, \"d\": -73}", "seed": "601774143394751874", "semantic_fingerprint": "sha256:3ffd367ef400665a0de8ac5db59171b1ca3d2a06770ad17e759a220ab718257b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000088", "prompt": "Solve for x: 11(x - 9) + 372 = -6(x - 3)", "solution_steps": ["Expand: 11x - 99 + 372 = -6(x - 3)", "Expand: 11x - 99 + 372 = -6x + 18", "Combine constants: 11x + 273 = -6x + 18", "Add 6x to both sides: 17x + 273 = 18", "Subtract 273 from both sides: 17x = -255", "Divide both sides by 17: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 9) + 372 = -6(x - 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9, \"c\": -6, \"d\": 3, \"f\": 372, \"x\": -15}", "seed": "10284688139516074003", "semantic_fingerprint": "sha256:44e54ca611691a41b5ab8b1d592af7ef81ad9b5946a4281255ba13f3234af10b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000089", "prompt": "Calculate: (-7 - (-2)) * (-45 / (-62))", "solution_steps": ["Subtract: -7 - (-2) = -5", "Divide: -45 / (-62) = 45/62", "Multiply: -5 * (45/62) = -225/62"], "final_answer": "-225/62", "answer_type": "rational", "kind": "expression", "math_text": "(-7 - (-2)) * (-45 / (-62))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -2, \"c\": -45, \"d\": -62}", "seed": "9597535600147043632", "semantic_fingerprint": "sha256:11bb9e8130cf4f3e4be1969d846c25fd72aae7f267daea49015a39add315b422", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000090", "prompt": "Compute: (-88 - (-6 + 418)) * 84 / (-19)", "solution_steps": ["Add: -6 + 418 = 412", "Subtract: -88 - 412 = -500", "Multiply: -500 * 84 = -42000", "Divide: -42000 / (-19) = 42000/19"], "final_answer": "42000/19", "answer_type": "rational", "kind": "expression", "math_text": "(-88 - (-6 + 418)) * 84 / (-19)", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": -6, \"c\": 418, \"d\": 84, \"e\": -19}", "seed": "1735829192240693047", "semantic_fingerprint": "sha256:aa9b1a4dd9ab86a8357a0301ff5b64152d0b82cff108e046f718b45654842bee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000091", "prompt": "Solve for x: 2(x - 96) = 12x - 322", "solution_steps": ["Expand: 2x - 192 = 12x - 322", "Subtract 12x from both sides: -10x - 192 = -322", "Add 192 to both sides: -10x = -130", "Divide both sides by -10: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 96) = 12x - 322", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 96, \"c\": 12, \"e\": -322, \"x\": 13}", "seed": "15391808151071273328", "semantic_fingerprint": "sha256:497fa92232ddfcbe42778d507a83572865434ccd76854695735513302258defb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000092", "prompt": "Calculate: (-237 * 6 + (-46)) * 96", "solution_steps": ["Multiply: -237 * 6 = -1422", "Add: -1422 + (-46) = -1468", "Multiply: -1468 * 96 = -140928"], "final_answer": "-140928", "answer_type": "integer", "kind": "expression", "math_text": "(-237 * 6 + (-46)) * 96", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -237, \"b\": 6, \"c\": -46, \"d\": 96}", "seed": "3467575141091125535", "semantic_fingerprint": "sha256:77c2df17bfe6c11e98bfdf90a6eb88acfd51dc8365338ac3b72c1a1c9ae8956b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000093", "prompt": "Find x: -11(x - 73) + 60 = 10x + 989", "solution_steps": ["Expand: -11x + 803 + 60 = 10x + 989", "Combine constants: -11x + 863 = 10x + 989", "Subtract 10x from both sides: -21x + 863 = 989", "Subtract 863 from both sides: -21x = 126", "Divide both sides by -21: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 73) + 60 = 10x + 989", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 73, \"c\": 60, \"d\": 10, \"f\": 989, \"x\": -6}", "seed": "14895609161633972251", "semantic_fingerprint": "sha256:3a9b0a3efdd7efd14298666c38ef511777e86a7fc2a095512b229615b0af3ccf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000094", "prompt": "What is -1 * (-5) + (-40) / (-947 / (92 - 4))?", "solution_steps": ["Multiply: -1 * (-5) = 5", "Subtract: 92 - 4 = 88", "Divide: -947 / 88 = -947/88", "Divide: -40 / (-947/88) = 3520/947", "Add: 5 + 3520/947 = 8255/947"], "final_answer": "8255/947", "answer_type": "rational", "kind": "expression", "math_text": "-1 * (-5) + (-40) / (-947 / (92 - 4))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (/ n (/ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -5, \"c\": -40, \"d\": -947, \"e\": 92, \"f\": 4}", "seed": "7026569856966621059", "semantic_fingerprint": "sha256:15393bffa394c1e363a2e8ea0515f4a7061cb1413d56b5645ceeb7035c459a34", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000095", "prompt": "Evaluate: -16 * (-4 - (2 - (1 - (-67))))", "solution_steps": ["Subtract: 1 - (-67) = 68", "Subtract: 2 - 68 = -66", "Subtract: -4 - (-66) = 62", "Multiply: -16 * 62 = -992"], "final_answer": "-992", "answer_type": "integer", "kind": "expression", "math_text": "-16 * (-4 - (2 - (1 - (-67))))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (- n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": -4, \"c\": 2, \"d\": 1, \"e\": -67}", "seed": "12968481760937796496", "semantic_fingerprint": "sha256:e50fca2fd7e93c250ddea86e34fcff1c9e2f4415012c5a8b5589358a47913bda", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000096", "prompt": "Compute: -56 / (6 / (-417)) / (15 / (-3)) * 8", "solution_steps": ["Divide: 6 / (-417) = -2/139", "Divide: -56 / (-2/139) = 3892", "Divide: 15 / (-3) = -5", "Divide: 3892 / (-5) = -3892/5", "Multiply: (-3892/5) * 8 = -31136/5"], "final_answer": "-31136/5", "answer_type": "rational", "kind": "expression", "math_text": "-56 / (6 / (-417)) / (15 / (-3)) * 8", "variable": null, "family": "expression_5op", "shape": "(* (/ (/ n (/ n n)) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": 6, \"c\": -417, \"d\": 15, \"e\": -3, \"f\": 8}", "seed": "7423669497297061000", "semantic_fingerprint": "sha256:1b5bad3df16147b72c689be48c52b51af6682afa6c47ca4ef9b270fb752af80c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000097", "prompt": "Evaluate: (-89 - (88 + 18)) * (-28) - 6", "solution_steps": ["Add: 88 + 18 = 106", "Subtract: -89 - 106 = -195", "Multiply: -195 * (-28) = 5460", "Subtract: 5460 - 6 = 5454"], "final_answer": "5454", "answer_type": "integer", "kind": "expression", "math_text": "(-89 - (88 + 18)) * (-28) - 6", "variable": null, "family": "expression_4op", "shape": "(- (* (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": 88, \"c\": 18, \"d\": -28, \"e\": 6}", "seed": "1947596551117551659", "semantic_fingerprint": "sha256:14ea40fb2f27081fd06c314f97575f08324549c6350e114f0e87d266dc7a2b6b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000098", "prompt": "What is 23 * (-4) * (-45) / (-29 / 6)?", "solution_steps": ["Multiply: 23 * (-4) = -92", "Multiply: -92 * (-45) = 4140", "Divide: -29 / 6 = -29/6", "Divide: 4140 / (-29/6) = -24840/29"], "final_answer": "-24840/29", "answer_type": "rational", "kind": "expression", "math_text": "23 * (-4) * (-45) / (-29 / 6)", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -4, \"c\": -45, \"d\": -29, \"e\": 6}", "seed": "7452303816148863568", "semantic_fingerprint": "sha256:16beedd80d5ba26f16069b55a1986bc414db2adf40cf32ae580acd2494acb9e5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000099", "prompt": "Evaluate: (-4 + 831) / (92 / 2)", "solution_steps": ["Add: -4 + 831 = 827", "Divide: 92 / 2 = 46", "Divide: 827 / 46 = 827/46"], "final_answer": "827/46", "answer_type": "rational", "kind": "expression", "math_text": "(-4 + 831) / (92 / 2)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 831, \"c\": 92, \"d\": 2}", "seed": "14291223711641376552", "semantic_fingerprint": "sha256:fe2628228fbcd1f9cf9238ac3eae093269c9b415f6cd3d84b289b8f8c36ae121", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000100", "prompt": "Solve the equation -10(x - 7) + 9 = 3(x + 38) - 63 for x.", "solution_steps": ["Expand: -10x + 70 + 9 = 3(x + 38) - 63", "Expand: -10x + 70 + 9 = 3x + 114 - 63", "Combine constants: -10x + 79 = 3x + 114 - 63", "Combine constants: -10x + 79 = 3x + 51", "Subtract 3x from both sides: -13x + 79 = 51", "Subtract 79 from both sides: -13x = -28", "Divide both sides by -13: x = 28/13"], "final_answer": "28/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 7) + 9 = 3(x + 38) - 63", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 7, \"c\": 9, \"d\": 3, \"e\": 38, \"f\": 63}", "seed": "4136499345279936774", "semantic_fingerprint": "sha256:f3b46d8a7c67661da02c39cb10b3c74976848d138f21bdd65b992b6157a31215", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000101", "prompt": "Evaluate: 29 / (-528) * (-37) + (-66 - 283) * 4", "solution_steps": ["Divide: 29 / (-528) = -29/528", "Multiply: (-29/528) * (-37) = 1073/528", "Subtract: -66 - 283 = -349", "Multiply: -349 * 4 = -1396", "Add: 1073/528 + (-1396) = -736015/528"], "final_answer": "-736015/528", "answer_type": "rational", "kind": "expression", "math_text": "29 / (-528) * (-37) + (-66 - 283) * 4", "variable": null, "family": "expression_5op", "shape": "(+ (* (/ n n) n) (* (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": -528, \"c\": -37, \"d\": -66, \"e\": 283, \"f\": 4}", "seed": "4899296924907105474", "semantic_fingerprint": "sha256:1b3910a8fa22eb064e2990656d74d25da5837510c3c52c31c571cfc0a7f98081", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000102", "prompt": "Compute: 6 / (-282 + (-8)) / (7 + (-62))", "solution_steps": ["Add: -282 + (-8) = -290", "Divide: 6 / (-290) = -3/145", "Add: 7 + (-62) = -55", "Divide: (-3/145) / (-55) = 3/7975"], "final_answer": "3/7975", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-282 + (-8)) / (7 + (-62))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -282, \"c\": -8, \"d\": 7, \"e\": -62}", "seed": "11673418268584903127", "semantic_fingerprint": "sha256:09e513e6c90e5e9a09bfade4507de390ed5ee4dfd5ee13ef4b492949f72daa38", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000103", "prompt": "Compute: 13 * (-9) * 837 + (61 - 893) + 4", "solution_steps": ["Multiply: 13 * (-9) = -117", "Multiply: -117 * 837 = -97929", "Subtract: 61 - 893 = -832", "Add: -97929 + (-832) = -98761", "Add: -98761 + 4 = -98757"], "final_answer": "-98757", "answer_type": "integer", "kind": "expression", "math_text": "13 * (-9) * 837 + (61 - 893) + 4", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* (* n n) n) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -9, \"c\": 837, \"d\": 61, \"e\": 893, \"f\": 4}", "seed": "12042491935973990500", "semantic_fingerprint": "sha256:d93d9b5da751cfa6c2084dbb3eed22fb6a5bef2abb87102fa8d76f92962826d7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000104", "prompt": "What value of x satisfies -6(x - 6) + 890 = 12(x - 785)?", "solution_steps": ["Expand: -6x + 36 + 890 = 12(x - 785)", "Expand: -6x + 36 + 890 = 12x - 9420", "Combine constants: -6x + 926 = 12x - 9420", "Subtract 12x from both sides: -18x + 926 = -9420", "Subtract 926 from both sides: -18x = -10346", "Divide both sides by -18: x = 5173/9"], "final_answer": "5173/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 6) + 890 = 12(x - 785)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 6, \"c\": 890, \"d\": 12, \"e\": 785}", "seed": "11694152636628033210", "semantic_fingerprint": "sha256:fd959641f0c9c7755f0ba1e1923738f8ea487c037bfb368d2220d6f73aa47a55", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000105", "prompt": "Compute: -2 / ((95 * 89 - (-226)) / 769)", "solution_steps": ["Multiply: 95 * 89 = 8455", "Subtract: 8455 - (-226) = 8681", "Divide: 8681 / 769 = 8681/769", "Divide: -2 / (8681/769) = -1538/8681"], "final_answer": "-1538/8681", "answer_type": "rational", "kind": "expression", "math_text": "-2 / ((95 * 89 - (-226)) / 769)", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (- (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 95, \"c\": 89, \"d\": -226, \"e\": 769}", "seed": "16131385318830796314", "semantic_fingerprint": "sha256:4328f31bfd6ac6a4e6bc46671cec8409135f60e18add531687a5c3fa6e41586e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000106", "prompt": "Calculate: (-1 - (-5)) * (-1 / (-698))", "solution_steps": ["Subtract: -1 - (-5) = 4", "Divide: -1 / (-698) = 1/698", "Multiply: 4 * (1/698) = 2/349"], "final_answer": "2/349", "answer_type": "rational", "kind": "expression", "math_text": "(-1 - (-5)) * (-1 / (-698))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -5, \"c\": -1, \"d\": -698}", "seed": "973811900825640508", "semantic_fingerprint": "sha256:98a511e7c604e96f8824613c33026f55735ee91065698dc5961b8f517e5ba991", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000107", "prompt": "Calculate: 3 - (625 * 20 + (-8))", "solution_steps": ["Multiply: 625 * 20 = 12500", "Add: 12500 + (-8) = 12492", "Subtract: 3 - 12492 = -12489"], "final_answer": "-12489", "answer_type": "integer", "kind": "expression", "math_text": "3 - (625 * 20 + (-8))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 625, \"c\": 20, \"d\": -8}", "seed": "11639958860241075240", "semantic_fingerprint": "sha256:98da461dc427b943a615908df33d3100be6bbe20bbcb9f1fcca134a104d5493d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000108", "prompt": "Evaluate: -20 - 339 * (-7) - (-89)", "solution_steps": ["Multiply: 339 * (-7) = -2373", "Subtract: -20 - (-2373) = 2353", "Subtract: 2353 - (-89) = 2442"], "final_answer": "2442", "answer_type": "integer", "kind": "expression", "math_text": "-20 - 339 * (-7) - (-89)", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 339, \"c\": -7, \"d\": -89}", "seed": "11621221634285578914", "semantic_fingerprint": "sha256:1740c430c69b6eec0711aa07e209929c14420fc4185179334904638caa3c7088", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000109", "prompt": "Evaluate: 8 / (1 * (-321) - 86 / (-54))", "solution_steps": ["Multiply: 1 * (-321) = -321", "Divide: 86 / (-54) = -43/27", "Subtract: -321 - (-43/27) = -8624/27", "Divide: 8 / (-8624/27) = -27/1078"], "final_answer": "-27/1078", "answer_type": "rational", "kind": "expression", "math_text": "8 / (1 * (-321) - 86 / (-54))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (* n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": -321, \"d\": 86, \"e\": -54}", "seed": "1562895151552604164", "semantic_fingerprint": "sha256:c3bea20938d92af67dd6466796d95a1f9ca5292283aa8bf53fdd36c6a0679ebb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000110", "prompt": "Compute: (-9 - (-15 + 985)) / ((-8 + (-2)) / 5)", "solution_steps": ["Add: -15 + 985 = 970", "Subtract: -9 - 970 = -979", "Add: -8 + (-2) = -10", "Divide: -10 / 5 = -2", "Divide: -979 / (-2) = 979/2"], "final_answer": "979/2", "answer_type": "rational", "kind": "expression", "math_text": "(-9 - (-15 + 985)) / ((-8 + (-2)) / 5)", "variable": null, "family": "expression_5op", "shape": "(/ (- n (+ n n)) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -15, \"c\": 985, \"d\": -8, \"e\": -2, \"f\": 5}", "seed": "16679287684282116161", "semantic_fingerprint": "sha256:ec88d20c2e913a6be1747aeb830eddfaeaaa0216a9071a8b75d1ab1cf47a9569", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000111", "prompt": "Solve the equation 9x - 29 = -2(x + 368) + 619 for x.", "solution_steps": ["Expand: 9x - 29 = -2x - 736 + 619", "Combine constants: 9x - 29 = -2x - 117", "Add 2x to both sides: 11x - 29 = -117", "Add 29 to both sides: 11x = -88", "Divide both sides by 11: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 29 = -2(x + 368) + 619", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 29, \"c\": -2, \"d\": 368, \"f\": 619, \"x\": -8}", "seed": "3851358443689598770", "semantic_fingerprint": "sha256:774a1f094747673be26bd7786993c711b04b0578e6ca489fcdc022406ebef72a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000112", "prompt": "What value of x satisfies 4(x - 29) - 1 = -10(x - 80) - 861?", "solution_steps": ["Expand: 4x - 116 - 1 = -10(x - 80) - 861", "Expand: 4x - 116 - 1 = -10x + 800 - 861", "Combine constants: 4x - 117 = -10x + 800 - 861", "Combine constants: 4x - 117 = -10x - 61", "Add 10x to both sides: 14x - 117 = -61", "Add 117 to both sides: 14x = 56", "Divide both sides by 14: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 29) - 1 = -10(x - 80) - 861", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 29, \"c\": 1, \"d\": -10, \"e\": 80, \"g\": -861, \"x\": 4}", "seed": "4579099990315655996", "semantic_fingerprint": "sha256:3418a10a2e7bf29103209e610fe5edda77f45beeb5615e02d830b667339e5956", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000113", "prompt": "What is -6 - (-1 + (-96)) + 1?", "solution_steps": ["Add: -1 + (-96) = -97", "Subtract: -6 - (-97) = 91", "Add: 91 + 1 = 92"], "final_answer": "92", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (-1 + (-96)) + 1", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -1, \"c\": -96, \"d\": 1}", "seed": "10994464717177134610", "semantic_fingerprint": "sha256:7c75a94fc575ef6993a75cc4b5f0bb058bbcea8205771dbd3793bf8ab132c05d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000114", "prompt": "What is 0 / 813 + (-362) / 103?", "solution_steps": ["Divide: 0 / 813 = 0", "Divide: -362 / 103 = -362/103", "Add: 0 + (-362/103) = -362/103"], "final_answer": "-362/103", "answer_type": "rational", "kind": "expression", "math_text": "0 / 813 + (-362) / 103", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 813, \"c\": -362, \"d\": 103}", "seed": "2670340885955489973", "semantic_fingerprint": "sha256:df60a61d936a3bb7c0a27e7704cd455319b5859824d8d6cbf17f62766e99acc3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000115", "prompt": "Evaluate: -43 * 739 / (190 + (-34))", "solution_steps": ["Multiply: -43 * 739 = -31777", "Add: 190 + (-34) = 156", "Divide: -31777 / 156 = -31777/156"], "final_answer": "-31777/156", "answer_type": "rational", "kind": "expression", "math_text": "-43 * 739 / (190 + (-34))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 739, \"c\": 190, \"d\": -34}", "seed": "1158571665439970257", "semantic_fingerprint": "sha256:8165eebc8d9892175c12d732c356417b38e0dd624bfa8757bfdbf090836f3d81", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000116", "prompt": "Solve for x: 11(x - 5) + 316 = 9x + 273", "solution_steps": ["Expand: 11x - 55 + 316 = 9x + 273", "Combine constants: 11x + 261 = 9x + 273", "Subtract 9x from both sides: 2x + 261 = 273", "Subtract 261 from both sides: 2x = 12", "Divide both sides by 2: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 5) + 316 = 9x + 273", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": 316, \"d\": 9, \"f\": 273, \"x\": 6}", "seed": "17425770966792689064", "semantic_fingerprint": "sha256:09c2075be49f82e9fa1d6d6d8c42253ef379095882764830f577cc7c59ad2898", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000117", "prompt": "Find x: -6(x - 68) + 638 = -7(x - 147)", "solution_steps": ["Expand: -6x + 408 + 638 = -7(x - 147)", "Expand: -6x + 408 + 638 = -7x + 1029", "Combine constants: -6x + 1046 = -7x + 1029", "Add 7x to both sides: x + 1046 = 1029", "Subtract 1046 from both sides: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 68) + 638 = -7(x - 147)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 68, \"c\": -7, \"d\": 147, \"f\": 638, \"x\": -17}", "seed": "4287032869706183803", "semantic_fingerprint": "sha256:fcc8acd2e25b14d442ce08ca8ac3879aa0c653c6a236d6b490b4662d57da8180", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000118", "prompt": "Evaluate: (2 - 9 + (-211)) * (-13)", "solution_steps": ["Subtract: 2 - 9 = -7", "Add: -7 + (-211) = -218", "Multiply: -218 * (-13) = 2834"], "final_answer": "2834", "answer_type": "integer", "kind": "expression", "math_text": "(2 - 9 + (-211)) * (-13)", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": -211, \"d\": -13}", "seed": "10116315893162504917", "semantic_fingerprint": "sha256:40da099570d4742fabe8862fdbf760a5bcfee007a3b9c189c459ba8f6769c243", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000119", "prompt": "Solve for x: 5(x + 7) - 838 = x - 883", "solution_steps": ["Expand: 5x + 35 - 838 = x - 883", "Combine constants: 5x - 803 = x - 883", "Subtract x from both sides: 4x - 803 = -883", "Add 803 to both sides: 4x = -80", "Divide both sides by 4: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 7) - 838 = x - 883", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": 838, \"e\": -883, \"x\": -20}", "seed": "17399987624487884175", "semantic_fingerprint": "sha256:ba378bb9aca6bc15327216751c34ac3f2a0bce40f28a793a626a2585ec958145", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000120", "prompt": "Calculate: (0 * (-325) + 71) * 72", "solution_steps": ["Multiply: 0 * (-325) = 0", "Add: 0 + 71 = 71", "Multiply: 71 * 72 = 5112"], "final_answer": "5112", "answer_type": "integer", "kind": "expression", "math_text": "(0 * (-325) + 71) * 72", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -325, \"c\": 71, \"d\": 72}", "seed": "11166553686315266048", "semantic_fingerprint": "sha256:f38762b5b3df6574e2b363ebb2223dac62d4121788c5371de5ab377b8f094687", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000121", "prompt": "What value of x satisfies 11(x - 91) = 4x - 903?", "solution_steps": ["Expand: 11x - 1001 = 4x - 903", "Subtract 4x from both sides: 7x - 1001 = -903", "Add 1001 to both sides: 7x = 98", "Divide both sides by 7: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 91) = 4x - 903", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 91, \"c\": 4, \"e\": -903, \"x\": 14}", "seed": "3269860592525749409", "semantic_fingerprint": "sha256:43474d44e99945c97ac41496048ebdb1882ed8251fa5f921c88fd78a09cc6403", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000122", "prompt": "Compute: -931 * (-75) / (-33 + 15)", "solution_steps": ["Multiply: -931 * (-75) = 69825", "Add: -33 + 15 = -18", "Divide: 69825 / (-18) = -23275/6"], "final_answer": "-23275/6", "answer_type": "rational", "kind": "expression", "math_text": "-931 * (-75) / (-33 + 15)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -931, \"b\": -75, \"c\": -33, \"d\": 15}", "seed": "2647908671314873259", "semantic_fingerprint": "sha256:d40a0a3c1bef348abde631b1c961133a0735d00449fd9e22ad910bcc6246c050", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000123", "prompt": "Compute: -4 / (-15 * 2 / 635)", "solution_steps": ["Multiply: -15 * 2 = -30", "Divide: -30 / 635 = -6/127", "Divide: -4 / (-6/127) = 254/3"], "final_answer": "254/3", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-15 * 2 / 635)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -15, \"c\": 2, \"d\": 635}", "seed": "9848927431017852970", "semantic_fingerprint": "sha256:4fbdc244eb6a0458cc529461b188d162d7e442b0a93160a51257edfd16ad6f89", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000124", "prompt": "Find x: 9(x - 794) - 48 = -10(x - 983)", "solution_steps": ["Expand: 9x - 7146 - 48 = -10(x - 983)", "Expand: 9x - 7146 - 48 = -10x + 9830", "Combine constants: 9x - 7194 = -10x + 9830", "Add 10x to both sides: 19x - 7194 = 9830", "Add 7194 to both sides: 19x = 17024", "Divide both sides by 19: x = 896"], "final_answer": "896", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 794) - 48 = -10(x - 983)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 794, \"c\": 48, \"d\": -10, \"e\": 983}", "seed": "18209666787727611077", "semantic_fingerprint": "sha256:5936a742282c98f512799e91f8c7826f58afc0ddc8a76665e51ee4376ebe9a6f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000125", "prompt": "Solve the equation 12x - 69 = 4(x + 4) + 67 for x.", "solution_steps": ["Expand: 12x - 69 = 4x + 16 + 67", "Combine constants: 12x - 69 = 4x + 83", "Subtract 4x from both sides: 8x - 69 = 83", "Add 69 to both sides: 8x = 152", "Divide both sides by 8: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 69 = 4(x + 4) + 67", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 69, \"c\": 4, \"d\": 4, \"f\": 67, \"x\": 19}", "seed": "5471384438229683142", "semantic_fingerprint": "sha256:deacf946f033b7c245318398e0906082b86899bad7e6366848be7fe04c45d2e1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000126", "prompt": "Compute: -69 * (-8) - 0 + 461 * (-5) / (-5)", "solution_steps": ["Multiply: -69 * (-8) = 552", "Subtract: 552 - 0 = 552", "Multiply: 461 * (-5) = -2305", "Divide: -2305 / (-5) = 461", "Add: 552 + 461 = 1013"], "final_answer": "1013", "answer_type": "integer", "kind": "expression", "math_text": "-69 * (-8) - 0 + 461 * (-5) / (-5)", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n n) n) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": -8, \"c\": 0, \"d\": 461, \"e\": -5, \"f\": -5}", "seed": "12431515840699408534", "semantic_fingerprint": "sha256:4d008ff0e66c895ddb7d4dff4f7e3ed8b488f9e442239e121351fa62bb079559", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000127", "prompt": "What is 8 * (-73) + (1 - 13 / (-344))?", "solution_steps": ["Multiply: 8 * (-73) = -584", "Divide: 13 / (-344) = -13/344", "Subtract: 1 - (-13/344) = 357/344", "Add: -584 + 357/344 = -200539/344"], "final_answer": "-200539/344", "answer_type": "rational", "kind": "expression", "math_text": "8 * (-73) + (1 - 13 / (-344))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -73, \"c\": 1, \"d\": 13, \"e\": -344}", "seed": "12663268400814501502", "semantic_fingerprint": "sha256:64344bb947ccca84b692029cf75e7bcc6448598b3155cc509d7b2512e33e54ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000128", "prompt": "Compute: (9 / (-9) + 347) * 0", "solution_steps": ["Divide: 9 / (-9) = -1", "Add: -1 + 347 = 346", "Multiply: 346 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(9 / (-9) + 347) * 0", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -9, \"c\": 347, \"d\": 0}", "seed": "4855723843813639955", "semantic_fingerprint": "sha256:88325ef05eae835d6bd7fa2cfcc69e8eed5769d5adefc39eaa0813ac3d84079b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000129", "prompt": "Evaluate: -5 * (812 - 9 + (-9))", "solution_steps": ["Subtract: 812 - 9 = 803", "Add: 803 + (-9) = 794", "Multiply: -5 * 794 = -3970"], "final_answer": "-3970", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (812 - 9 + (-9))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 812, \"c\": 9, \"d\": -9}", "seed": "16083925106339722801", "semantic_fingerprint": "sha256:1df221842c0ac6af208f2933609935756c15da99df3a837c23e6c7f14efa2344", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000130", "prompt": "Compute: -5 / (-315) + (-8) / (-10)", "solution_steps": ["Divide: -5 / (-315) = 1/63", "Divide: -8 / (-10) = 4/5", "Add: 1/63 + 4/5 = 257/315"], "final_answer": "257/315", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-315) + (-8) / (-10)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -315, \"c\": -8, \"d\": -10}", "seed": "1839289524347186072", "semantic_fingerprint": "sha256:29fdfb806031f4a9d7c4ead4933fd33151dc8ddaab3fd7bb9a4465ea615a6a48", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000131", "prompt": "Solve for x: 10(x - 62) = 7x - 677", "solution_steps": ["Expand: 10x - 620 = 7x - 677", "Subtract 7x from both sides: 3x - 620 = -677", "Add 620 to both sides: 3x = -57", "Divide both sides by 3: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 62) = 7x - 677", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 62, \"c\": 7, \"e\": -677, \"x\": -19}", "seed": "682587294403827444", "semantic_fingerprint": "sha256:e495eaf657f4d27f39992d33302228f796e45a16473adc7700f13ab22e81a971", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000132", "prompt": "What is -7 + (29 + (8 - 351 - 212 + (-8)))?", "solution_steps": ["Subtract: 8 - 351 = -343", "Subtract: -343 - 212 = -555", "Add: -555 + (-8) = -563", "Add: 29 + (-563) = -534", "Add: -7 + (-534) = -541"], "final_answer": "-541", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (29 + (8 - 351 - 212 + (-8)))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ n (+ (- (- n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 29, \"c\": 8, \"d\": 351, \"e\": 212, \"f\": -8}", "seed": "4645779053621484271", "semantic_fingerprint": "sha256:cee6f709390c01fa477ec49afdbb9949a5bff51a1c8b820c833405ee565472d0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000133", "prompt": "What is (-75 + (-88 - 58)) * 5 / (-24)?", "solution_steps": ["Subtract: -88 - 58 = -146", "Add: -75 + (-146) = -221", "Multiply: -221 * 5 = -1105", "Divide: -1105 / (-24) = 1105/24"], "final_answer": "1105/24", "answer_type": "rational", "kind": "expression", "math_text": "(-75 + (-88 - 58)) * 5 / (-24)", "variable": null, "family": "expression_4op", "shape": "(/ (* (+ n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -88, \"c\": 58, \"d\": 5, \"e\": -24}", "seed": "7291177593307591259", "semantic_fingerprint": "sha256:b438d8b83acdd3e0cefc643d7923278c078a7695f1420cdee89da84adc768363", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000134", "prompt": "Find x: 10x - 6 = -12(x + 853) + 24", "solution_steps": ["Expand: 10x - 6 = -12x - 10236 + 24", "Combine constants: 10x - 6 = -12x - 10212", "Add 12x to both sides: 22x - 6 = -10212", "Add 6 to both sides: 22x = -10206", "Divide both sides by 22: x = -5103/11"], "final_answer": "-5103/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x - 6 = -12(x + 853) + 24", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": -12, \"d\": 853, \"e\": 24}", "seed": "3912306356176944168", "semantic_fingerprint": "sha256:8284454315fa7222b4b4db8a2baa7fb301318206005784bd9f1cb77b02b6b3df", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000135", "prompt": "What value of x satisfies 10(x + 9) - 26 = x - 62?", "solution_steps": ["Expand: 10x + 90 - 26 = x - 62", "Combine constants: 10x + 64 = x - 62", "Subtract x from both sides: 9x + 64 = -62", "Subtract 64 from both sides: 9x = -126", "Divide both sides by 9: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 9) - 26 = x - 62", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": 26, \"e\": -62, \"x\": -14}", "seed": "2902487824464745436", "semantic_fingerprint": "sha256:51dc6319c1eef0082d82e79f7822e82efc846d9cced43079d623c8e7f18e0855", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000136", "prompt": "Evaluate: -1 - (-71) + (6 - (-3) / (-7 + (-32)))", "solution_steps": ["Subtract: -1 - (-71) = 70", "Add: -7 + (-32) = -39", "Divide: -3 / (-39) = 1/13", "Subtract: 6 - 1/13 = 77/13", "Add: 70 + 77/13 = 987/13"], "final_answer": "987/13", "answer_type": "rational", "kind": "expression", "math_text": "-1 - (-71) + (6 - (-3) / (-7 + (-32)))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (- n (/ n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -71, \"c\": 6, \"d\": -3, \"e\": -7, \"f\": -32}", "seed": "15294836961578433379", "semantic_fingerprint": "sha256:c144f6d3d30cb6864e8707791961df7f37019542c23f72cf2179172c6516fc89", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000137", "prompt": "Find x: -12(x - 49) + 2 = 5(x - 34)", "solution_steps": ["Expand: -12x + 588 + 2 = 5(x - 34)", "Expand: -12x + 588 + 2 = 5x - 170", "Combine constants: -12x + 590 = 5x - 170", "Subtract 5x from both sides: -17x + 590 = -170", "Subtract 590 from both sides: -17x = -760", "Divide both sides by -17: x = 760/17"], "final_answer": "760/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 49) + 2 = 5(x - 34)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 49, \"c\": 2, \"d\": 5, \"e\": 34}", "seed": "2207660549730294071", "semantic_fingerprint": "sha256:fee7cd25949b464a6e34ee717bcce45ac26c8de136032a31ab936aba5a8f991a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000138", "prompt": "Calculate: -91 * (-44) + (-9 / (-17) - (-80))", "solution_steps": ["Multiply: -91 * (-44) = 4004", "Divide: -9 / (-17) = 9/17", "Subtract: 9/17 - (-80) = 1369/17", "Add: 4004 + 1369/17 = 69437/17"], "final_answer": "69437/17", "answer_type": "rational", "kind": "expression", "math_text": "-91 * (-44) + (-9 / (-17) - (-80))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -44, \"c\": -9, \"d\": -17, \"e\": -80}", "seed": "13124798662201286337", "semantic_fingerprint": "sha256:fe654af9fa6c27af16ce35da289708b08dd9f862a6908c0f95fecf25335a2bb7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000139", "prompt": "What value of x satisfies -3(x - 9) - 50 = 3(x - 61)?", "solution_steps": ["Expand: -3x + 27 - 50 = 3(x - 61)", "Expand: -3x + 27 - 50 = 3x - 183", "Combine constants: -3x - 23 = 3x - 183", "Subtract 3x from both sides: -6x - 23 = -183", "Add 23 to both sides: -6x = -160", "Divide both sides by -6: x = 80/3"], "final_answer": "80/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 9) - 50 = 3(x - 61)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 9, \"c\": 50, \"d\": 3, \"e\": 61}", "seed": "9796633399852109502", "semantic_fingerprint": "sha256:f744d48e1265085348f585cee19a84826f059a065dbef2ed6a023a66e65f87af", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000140", "prompt": "Solve the equation 12(x - 1) + 802 = -4x + 934 for x.", "solution_steps": ["Expand: 12x - 12 + 802 = -4x + 934", "Combine constants: 12x + 790 = -4x + 934", "Add 4x to both sides: 16x + 790 = 934", "Subtract 790 from both sides: 16x = 144", "Divide both sides by 16: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 1) + 802 = -4x + 934", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 1, \"c\": 802, \"d\": -4, \"f\": 934, \"x\": 9}", "seed": "14886284150398104409", "semantic_fingerprint": "sha256:b46f85c887552796925017c5c7653fa26236683154f994d3724910f5f63036e8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000141", "prompt": "What value of x satisfies -3(x - 43) + 559 = -5x + 652?", "solution_steps": ["Expand: -3x + 129 + 559 = -5x + 652", "Combine constants: -3x + 688 = -5x + 652", "Add 5x to both sides: 2x + 688 = 652", "Subtract 688 from both sides: 2x = -36", "Divide both sides by 2: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 43) + 559 = -5x + 652", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 43, \"c\": 559, \"d\": -5, \"f\": 652, \"x\": -18}", "seed": "10253981250879844279", "semantic_fingerprint": "sha256:c34aa5411c3199c78e694cdd5442971d5557451138e4aff08703d2b11e215695", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000142", "prompt": "What is 65 * (-57 * (-99)) - 3?", "solution_steps": ["Multiply: -57 * (-99) = 5643", "Multiply: 65 * 5643 = 366795", "Subtract: 366795 - 3 = 366792"], "final_answer": "366792", "answer_type": "integer", "kind": "expression", "math_text": "65 * (-57 * (-99)) - 3", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -57, \"c\": -99, \"d\": 3}", "seed": "17436571467090336810", "semantic_fingerprint": "sha256:d4d18bcff657cea61e85292fc58b91f277511a57285386d1a79d7727cc308d01", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000143", "prompt": "Solve for x: 9(x - 6) + 211 = 6(x + 99) - 437", "solution_steps": ["Expand: 9x - 54 + 211 = 6(x + 99) - 437", "Expand: 9x - 54 + 211 = 6x + 594 - 437", "Combine constants: 9x + 157 = 6x + 594 - 437", "Combine constants: 9x + 157 = 6x + 157", "Subtract 6x from both sides: 3x + 157 = 157", "Subtract 157 from both sides: 3x = 0", "Divide both sides by 3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 6) + 211 = 6(x + 99) - 437", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": 211, \"d\": 6, \"e\": 99, \"g\": -437, \"x\": 0}", "seed": "851361806334281902", "semantic_fingerprint": "sha256:61256d9bf06e07187688efb4014c43905583c0dec0bc791267b667a28002e8b7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000144", "prompt": "Evaluate: (-4 + (-2) - (-7)) / (-79 / (-644))", "solution_steps": ["Add: -4 + (-2) = -6", "Subtract: -6 - (-7) = 1", "Divide: -79 / (-644) = 79/644", "Divide: 1 / (79/644) = 644/79"], "final_answer": "644/79", "answer_type": "rational", "kind": "expression", "math_text": "(-4 + (-2) - (-7)) / (-79 / (-644))", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -2, \"c\": -7, \"d\": -79, \"e\": -644}", "seed": "14033860489988111106", "semantic_fingerprint": "sha256:6907a9b6b2894f6ae2b394635650921ee7b3a5b92c668e94bc4059d1f03d9207", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000145", "prompt": "Evaluate: 2 + (-43) + 23 + (93 / (-21) - (-904))", "solution_steps": ["Add: 2 + (-43) = -41", "Add: -41 + 23 = -18", "Divide: 93 / (-21) = -31/7", "Subtract: -31/7 - (-904) = 6297/7", "Add: -18 + 6297/7 = 6171/7"], "final_answer": "6171/7", "answer_type": "rational", "kind": "expression", "math_text": "2 + (-43) + 23 + (93 / (-21) - (-904))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ n n) n) (- (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -43, \"c\": 23, \"d\": 93, \"e\": -21, \"f\": -904}", "seed": "17379184299552609220", "semantic_fingerprint": "sha256:eaf091552bb9a7dbae9de6e31fdd5d90a20872021c51ba54ee26a9dd3894be15", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000146", "prompt": "Compute: (1 + 0 * (-769)) / (316 / 9)", "solution_steps": ["Multiply: 0 * (-769) = 0", "Add: 1 + 0 = 1", "Divide: 316 / 9 = 316/9", "Divide: 1 / (316/9) = 9/316"], "final_answer": "9/316", "answer_type": "rational", "kind": "expression", "math_text": "(1 + 0 * (-769)) / (316 / 9)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 0, \"c\": -769, \"d\": 316, \"e\": 9}", "seed": "8666633039774257490", "semantic_fingerprint": "sha256:56868ade32e2da99350673f924dd93cfe8f7533270fdc4efac811901e98fc7f9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000147", "prompt": "What value of x satisfies -6(x - 1) - 38 = 8(x - 11)?", "solution_steps": ["Expand: -6x + 6 - 38 = 8(x - 11)", "Expand: -6x + 6 - 38 = 8x - 88", "Combine constants: -6x - 32 = 8x - 88", "Subtract 8x from both sides: -14x - 32 = -88", "Add 32 to both sides: -14x = -56", "Divide both sides by -14: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 1) - 38 = 8(x - 11)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 1, \"c\": 8, \"d\": 11, \"f\": -38, \"x\": 4}", "seed": "10873761998367001196", "semantic_fingerprint": "sha256:069b7d22cdc86799ca6bd5463bfed94b18760782859a741915897a046646024a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000148", "prompt": "Compute: (-8 + (-63)) / (-1 - 616 - (-802))", "solution_steps": ["Add: -8 + (-63) = -71", "Subtract: -1 - 616 = -617", "Subtract: -617 - (-802) = 185", "Divide: -71 / 185 = -71/185"], "final_answer": "-71/185", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + (-63)) / (-1 - 616 - (-802))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -63, \"c\": -1, \"d\": 616, \"e\": -802}", "seed": "16932044479984967021", "semantic_fingerprint": "sha256:e5cf3f7093d29080d58c357cb49f571c67cafa26d5f206952fced34a676871c3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000149", "prompt": "Solve the equation 2(x - 6) - 8 = -8(x - 46) - 298 for x.", "solution_steps": ["Expand: 2x - 12 - 8 = -8(x - 46) - 298", "Expand: 2x - 12 - 8 = -8x + 368 - 298", "Combine constants: 2x - 20 = -8x + 368 - 298", "Combine constants: 2x - 20 = -8x + 70", "Add 8x to both sides: 10x - 20 = 70", "Add 20 to both sides: 10x = 90", "Divide both sides by 10: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 6) - 8 = -8(x - 46) - 298", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 8, \"d\": -8, \"e\": 46, \"g\": -298, \"x\": 9}", "seed": "6881815154644659576", "semantic_fingerprint": "sha256:c6cf6118c56f88fae60dcec45ffe03ae3d3b7950cd2976cafc78c984b67b5fb8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000150", "prompt": "Compute: 491 + 82 - (-3 + (-81))", "solution_steps": ["Add: 491 + 82 = 573", "Add: -3 + (-81) = -84", "Subtract: 573 - (-84) = 657"], "final_answer": "657", "answer_type": "integer", "kind": "expression", "math_text": "491 + 82 - (-3 + (-81))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 491, \"b\": 82, \"c\": -3, \"d\": -81}", "seed": "8692556720561341071", "semantic_fingerprint": "sha256:4defb48b566d13efdfc7a7c3ffc45651cb1ec579a6a54c695415322a4cb66b13", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000151", "prompt": "Evaluate: 12 * 5 + (119 - 4 + 60) + 19", "solution_steps": ["Multiply: 12 * 5 = 60", "Subtract: 119 - 4 = 115", "Add: 115 + 60 = 175", "Add: 60 + 175 = 235", "Add: 235 + 19 = 254"], "final_answer": "254", "answer_type": "integer", "kind": "expression", "math_text": "12 * 5 + (119 - 4 + 60) + 19", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* n n) (+ (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 119, \"d\": 4, \"e\": 60, \"f\": 19}", "seed": "10804831048631870749", "semantic_fingerprint": "sha256:fb62ea987b663cc1bea353976217cb2b5fe6f2e0d654937fc8e11d1e39829d4d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000152", "prompt": "Solve the equation 3x - 596 = -9(x + 5) + 7 for x.", "solution_steps": ["Expand: 3x - 596 = -9x - 45 + 7", "Combine constants: 3x - 596 = -9x - 38", "Add 9x to both sides: 12x - 596 = -38", "Add 596 to both sides: 12x = 558", "Divide both sides by 12: x = 93/2"], "final_answer": "93/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x - 596 = -9(x + 5) + 7", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 596, \"c\": -9, \"d\": 5, \"e\": 7}", "seed": "15504353761490262724", "semantic_fingerprint": "sha256:ab598565bb930b46cbe00aa4de5b66812e0e45344559c59a1f51a1373d72d10d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000153", "prompt": "What value of x satisfies x - 39 = 8(x - 1) + 60?", "solution_steps": ["Expand: x - 39 = 8x - 8 + 60", "Combine constants: x - 39 = 8x + 52", "Subtract 8x from both sides: -7x - 39 = 52", "Add 39 to both sides: -7x = 91", "Divide both sides by -7: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 39 = 8(x - 1) + 60", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 8, \"c\": 1, \"e\": 60, \"x\": -13}", "seed": "16530813889543963123", "semantic_fingerprint": "sha256:95af1712f998db58630ef2350e07ee44f694816a7a91e2ad55022428e01d1b9f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000154", "prompt": "What value of x satisfies 8(x - 95) = 7x - 269?", "solution_steps": ["Expand: 8x - 760 = 7x - 269", "Subtract 7x from both sides: x - 760 = -269", "Add 760 to both sides: x = 491"], "final_answer": "491", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 95) = 7x - 269", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 95, \"c\": 7, \"d\": 269}", "seed": "1639495402991498954", "semantic_fingerprint": "sha256:28677f0f1bcb19016f4a7ac5270ebab77e799450366e24d0d3e95eb757d0416f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000155", "prompt": "Solve for x: -6(x + 7) - 477 = x - 407", "solution_steps": ["Expand: -6x - 42 - 477 = x - 407", "Combine constants: -6x - 519 = x - 407", "Subtract x from both sides: -7x - 519 = -407", "Add 519 to both sides: -7x = 112", "Divide both sides by -7: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 7) - 477 = x - 407", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 7, \"c\": 477, \"e\": -407, \"x\": -16}", "seed": "3859972968966366889", "semantic_fingerprint": "sha256:a9d5242899451762e35a651c64ef74320535b1c2aa0053f8dca4d9b664dd1b05", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000156", "prompt": "Calculate: -5 + (-1 - (-6)) + (-2) * 395", "solution_steps": ["Subtract: -1 - (-6) = 5", "Add: -5 + 5 = 0", "Multiply: -2 * 395 = -790", "Add: 0 + (-790) = -790"], "final_answer": "-790", "answer_type": "integer", "kind": "expression", "math_text": "-5 + (-1 - (-6)) + (-2) * 395", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -1, \"c\": -6, \"d\": -2, \"e\": 395}", "seed": "9070957202022345397", "semantic_fingerprint": "sha256:c7ac04b99b9f37d1c3fb2fa803ee1991070070f238d75ab78fc7dc8269db2549", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000157", "prompt": "Evaluate: (-46 * 91 + (-261)) * 0", "solution_steps": ["Multiply: -46 * 91 = -4186", "Add: -4186 + (-261) = -4447", "Multiply: -4447 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-46 * 91 + (-261)) * 0", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": 91, \"c\": -261, \"d\": 0}", "seed": "8471879992581861895", "semantic_fingerprint": "sha256:dd323052b72522cc2eccaa81f4e4cfa9d305a8b17d91200814602d79021330b2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000158", "prompt": "Evaluate: 2 - 834 / (29 * (80 - 33) + 747)", "solution_steps": ["Subtract: 80 - 33 = 47", "Multiply: 29 * 47 = 1363", "Add: 1363 + 747 = 2110", "Divide: 834 / 2110 = 417/1055", "Subtract: 2 - 417/1055 = 1693/1055"], "final_answer": "1693/1055", "answer_type": "rational", "kind": "expression", "math_text": "2 - 834 / (29 * (80 - 33) + 747)", "variable": null, "family": "expression_5op", "shape": "(- n (/ n (+ (* n (- n n)) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 834, \"c\": 29, \"d\": 80, \"e\": 33, \"f\": 747}", "seed": "10651056773529795733", "semantic_fingerprint": "sha256:612692601df5087c5e7d81314e1621013d91c6f0e72c7b0e7669af1e8a814ebb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000159", "prompt": "Compute: 67 * 113 / (890 * 0 - (-95))", "solution_steps": ["Multiply: 67 * 113 = 7571", "Multiply: 890 * 0 = 0", "Subtract: 0 - (-95) = 95", "Divide: 7571 / 95 = 7571/95"], "final_answer": "7571/95", "answer_type": "rational", "kind": "expression", "math_text": "67 * 113 / (890 * 0 - (-95))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (- (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 113, \"c\": 890, \"d\": 0, \"e\": -95}", "seed": "2642600319349504873", "semantic_fingerprint": "sha256:9f666e6725b1407cf5626bfe58b7f281ea6b844546f874d452c95ab1b0993466", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000160", "prompt": "Compute: -510 * (35 - (-93) + 21)", "solution_steps": ["Subtract: 35 - (-93) = 128", "Add: 128 + 21 = 149", "Multiply: -510 * 149 = -75990"], "final_answer": "-75990", "answer_type": "integer", "kind": "expression", "math_text": "-510 * (35 - (-93) + 21)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -510, \"b\": 35, \"c\": -93, \"d\": 21}", "seed": "5919008697469866806", "semantic_fingerprint": "sha256:b1a23446e3cb008b374b1fa1568674e32c615f68d3ddba2b8d4ddb8173016c87", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000161", "prompt": "Solve the equation 6(x + 3) - 29 = x - 66 for x.", "solution_steps": ["Expand: 6x + 18 - 29 = x - 66", "Combine constants: 6x - 11 = x - 66", "Subtract x from both sides: 5x - 11 = -66", "Add 11 to both sides: 5x = -55", "Divide both sides by 5: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 3) - 29 = x - 66", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 29, \"e\": -66, \"x\": -11}", "seed": "10033127152174798599", "semantic_fingerprint": "sha256:3495cccc6024d3059bcf6244e53d22893d4abae1b51e0a710eac3041a284c5d7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000162", "prompt": "Solve for x: -4(x - 90) + 1 = 12x + 92", "solution_steps": ["Expand: -4x + 360 + 1 = 12x + 92", "Combine constants: -4x + 361 = 12x + 92", "Subtract 12x from both sides: -16x + 361 = 92", "Subtract 361 from both sides: -16x = -269", "Divide both sides by -16: x = 269/16"], "final_answer": "269/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 90) + 1 = 12x + 92", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 90, \"c\": 1, \"d\": 12, \"e\": 92}", "seed": "3026289850839336180", "semantic_fingerprint": "sha256:29b772e6fb0677c1196590bf1c615e1e26d98d87894abc515496b50322631917", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000163", "prompt": "Compute: -9 * 7 / (87 + 186)", "solution_steps": ["Multiply: -9 * 7 = -63", "Add: 87 + 186 = 273", "Divide: -63 / 273 = -3/13"], "final_answer": "-3/13", "answer_type": "rational", "kind": "expression", "math_text": "-9 * 7 / (87 + 186)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 7, \"c\": 87, \"d\": 186}", "seed": "12545371361876417798", "semantic_fingerprint": "sha256:8dab155286a7fed015b6f5719dccc2aeefa5c0ef8d344bf2ab9a1a46d3cb1bb1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000164", "prompt": "Calculate: -85 - (-701) + 79 - (-7) + (-3)", "solution_steps": ["Subtract: -85 - (-701) = 616", "Add: 616 + 79 = 695", "Subtract: 695 - (-7) = 702", "Add: 702 + (-3) = 699"], "final_answer": "699", "answer_type": "integer", "kind": "expression", "math_text": "-85 - (-701) + 79 - (-7) + (-3)", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": -701, \"c\": 79, \"d\": -7, \"e\": -3}", "seed": "7124928974614613191", "semantic_fingerprint": "sha256:521e8980bf7b1ac4a9e114a10e4c8f52f81873db6f93d7ee4f4b6be3dd9d6dc3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000165", "prompt": "Solve the equation -7(x - 22) + 4 = 9x + 174 for x.", "solution_steps": ["Expand: -7x + 154 + 4 = 9x + 174", "Combine constants: -7x + 158 = 9x + 174", "Subtract 9x from both sides: -16x + 158 = 174", "Subtract 158 from both sides: -16x = 16", "Divide both sides by -16: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 22) + 4 = 9x + 174", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 22, \"c\": 4, \"d\": 9, \"f\": 174, \"x\": -1}", "seed": "109938035419774374", "semantic_fingerprint": "sha256:b276c0bd996ab7ead19e1f1135f99a9cda0999c4e9891222f20e21f07c97905f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000166", "prompt": "Solve the equation 9x - 314 = -11(x + 47) + 203 for x.", "solution_steps": ["Expand: 9x - 314 = -11x - 517 + 203", "Combine constants: 9x - 314 = -11x - 314", "Add 11x to both sides: 20x - 314 = -314", "Add 314 to both sides: 20x = 0", "Divide both sides by 20: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 314 = -11(x + 47) + 203", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 314, \"c\": -11, \"d\": 47, \"f\": 203, \"x\": 0}", "seed": "14393103728927612784", "semantic_fingerprint": "sha256:88e21e98fe0072e1d22e8e14408342289866a15e2704aa801d7dadd298c6beb5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000167", "prompt": "Find x: 7(x + 9) - 85 = x - 28", "solution_steps": ["Expand: 7x + 63 - 85 = x - 28", "Combine constants: 7x - 22 = x - 28", "Subtract x from both sides: 6x - 22 = -28", "Add 22 to both sides: 6x = -6", "Divide both sides by 6: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 9) - 85 = x - 28", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 85, \"e\": -28, \"x\": -1}", "seed": "5940943662264706113", "semantic_fingerprint": "sha256:32e0c808f1cfba9857f0bf0d3ef40bc5dc06df9b5f89ba8b0bca41ab8b1a82b8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000168", "prompt": "What is -2 - (5 + (-75)) + 415?", "solution_steps": ["Add: 5 + (-75) = -70", "Subtract: -2 - (-70) = 68", "Add: 68 + 415 = 483"], "final_answer": "483", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (5 + (-75)) + 415", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 5, \"c\": -75, \"d\": 415}", "seed": "6592386188317117273", "semantic_fingerprint": "sha256:93248f439ee7704d89000422afec3f3851f847e191168ab9e40a5daa8cb8dee7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000169", "prompt": "Solve for x: 8(x + 123) - 895 = x - 99", "solution_steps": ["Expand: 8x + 984 - 895 = x - 99", "Combine constants: 8x + 89 = x - 99", "Subtract x from both sides: 7x + 89 = -99", "Subtract 89 from both sides: 7x = -188", "Divide both sides by 7: x = -188/7"], "final_answer": "-188/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 123) - 895 = x - 99", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 123, \"c\": 895, \"d\": 99}", "seed": "13085207710446039143", "semantic_fingerprint": "sha256:2fca2c01a7829221525e1f189a11523b5704849e22fe7d8651009724e01bd30a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000170", "prompt": "Compute: -958 - 94 + (9 - (-9) - 74 * 8)", "solution_steps": ["Subtract: -958 - 94 = -1052", "Subtract: 9 - (-9) = 18", "Multiply: 74 * 8 = 592", "Subtract: 18 - 592 = -574", "Add: -1052 + (-574) = -1626"], "final_answer": "-1626", "answer_type": "integer", "kind": "expression", "math_text": "-958 - 94 + (9 - (-9) - 74 * 8)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (- (- n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -958, \"b\": 94, \"c\": 9, \"d\": -9, \"e\": 74, \"f\": 8}", "seed": "3452291917943181477", "semantic_fingerprint": "sha256:b516aa96a028767db199648e9ba8fe1be709205265c7e7619b2b3d4dee2b8f59", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000171", "prompt": "Evaluate: 1 - (515 + (-8 - (-639)))", "solution_steps": ["Subtract: -8 - (-639) = 631", "Add: 515 + 631 = 1146", "Subtract: 1 - 1146 = -1145"], "final_answer": "-1145", "answer_type": "integer", "kind": "expression", "math_text": "1 - (515 + (-8 - (-639)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 515, \"c\": -8, \"d\": -639}", "seed": "5754376701824978192", "semantic_fingerprint": "sha256:c34b446203d80a2b88a32bf51a7390bcb848c9405b4d3c9191500f33ee135e37", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000172", "prompt": "Evaluate: (8 - (-1)) / (-208 * 3)", "solution_steps": ["Subtract: 8 - (-1) = 9", "Multiply: -208 * 3 = -624", "Divide: 9 / (-624) = -3/208"], "final_answer": "-3/208", "answer_type": "rational", "kind": "expression", "math_text": "(8 - (-1)) / (-208 * 3)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -1, \"c\": -208, \"d\": 3}", "seed": "9155202293056223874", "semantic_fingerprint": "sha256:3f8259160def8d6eaf1faf28b0b220333000f1d7cfcd152a0b53d9af839514d3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000173", "prompt": "Evaluate: 49 - 842 * (-4) - (-949)", "solution_steps": ["Multiply: 842 * (-4) = -3368", "Subtract: 49 - (-3368) = 3417", "Subtract: 3417 - (-949) = 4366"], "final_answer": "4366", "answer_type": "integer", "kind": "expression", "math_text": "49 - 842 * (-4) - (-949)", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": 842, \"c\": -4, \"d\": -949}", "seed": "13242921605841422814", "semantic_fingerprint": "sha256:7cdd9779b6f311e3f5d7072b9a66da7fe6b35481a13a867899c714f69f4108a3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000174", "prompt": "What value of x satisfies 2(x + 96) - 9 = x - 8?", "solution_steps": ["Expand: 2x + 192 - 9 = x - 8", "Combine constants: 2x + 183 = x - 8", "Subtract x from both sides: x + 183 = -8", "Subtract 183 from both sides: x = -191"], "final_answer": "-191", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 96) - 9 = x - 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 96, \"c\": 9, \"d\": 8}", "seed": "423229628919375022", "semantic_fingerprint": "sha256:1040e4239fbfe3b3d090605a1195767d548afb1b5eea935538c42cf946c9d48e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000175", "prompt": "Solve the equation -2(x - 4) - 4 = -10(x - 52) - 588 for x.", "solution_steps": ["Expand: -2x + 8 - 4 = -10(x - 52) - 588", "Expand: -2x + 8 - 4 = -10x + 520 - 588", "Combine constants: -2x + 4 = -10x + 520 - 588", "Combine constants: -2x + 4 = -10x - 68", "Add 10x to both sides: 8x + 4 = -68", "Subtract 4 from both sides: 8x = -72", "Divide both sides by 8: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 4) - 4 = -10(x - 52) - 588", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 4, \"c\": 4, \"d\": -10, \"e\": 52, \"g\": -588, \"x\": -9}", "seed": "11904818293365060701", "semantic_fingerprint": "sha256:998994f0fabfde8354067567e978bf019d110635a2134ba1287fce1c7f604035", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000176", "prompt": "What is (1 - 56 / (-4)) / (6 / (-666))?", "solution_steps": ["Divide: 56 / (-4) = -14", "Subtract: 1 - (-14) = 15", "Divide: 6 / (-666) = -1/111", "Divide: 15 / (-1/111) = -1665"], "final_answer": "-1665", "answer_type": "integer", "kind": "expression", "math_text": "(1 - 56 / (-4)) / (6 / (-666))", "variable": null, "family": "expression_4op", "shape": "(/ (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 56, \"c\": -4, \"d\": 6, \"e\": -666}", "seed": "10435373744925405223", "semantic_fingerprint": "sha256:b79c966deaacb5e9fc965b748f860cfc4cb3218d316cfab321c47866fbd9e1f1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000177", "prompt": "Solve the equation -8(x - 6) - 142 = 5(x - 50) for x.", "solution_steps": ["Expand: -8x + 48 - 142 = 5(x - 50)", "Expand: -8x + 48 - 142 = 5x - 250", "Combine constants: -8x - 94 = 5x - 250", "Subtract 5x from both sides: -13x - 94 = -250", "Add 94 to both sides: -13x = -156", "Divide both sides by -13: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 6) - 142 = 5(x - 50)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 6, \"c\": 5, \"d\": 50, \"f\": -142, \"x\": 12}", "seed": "7616586474068798807", "semantic_fingerprint": "sha256:e800860b81a8e4de68483a1fb7e300d64a58eea8a5abe85f8a89ad478a8adc50", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000178", "prompt": "Evaluate: -71 / (8 / (-65 * 436))", "solution_steps": ["Multiply: -65 * 436 = -28340", "Divide: 8 / (-28340) = -2/7085", "Divide: -71 / (-2/7085) = 503035/2"], "final_answer": "503035/2", "answer_type": "rational", "kind": "expression", "math_text": "-71 / (8 / (-65 * 436))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 8, \"c\": -65, \"d\": 436}", "seed": "4285485420577678525", "semantic_fingerprint": "sha256:c736fe3ca0d6335888591586df5f33cf13cca008169f787f1cc684a2f521a4fc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000179", "prompt": "Evaluate: -4 - 79 * (-7) - (-9)", "solution_steps": ["Multiply: 79 * (-7) = -553", "Subtract: -4 - (-553) = 549", "Subtract: 549 - (-9) = 558"], "final_answer": "558", "answer_type": "integer", "kind": "expression", "math_text": "-4 - 79 * (-7) - (-9)", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 79, \"c\": -7, \"d\": -9}", "seed": "1352740454351845215", "semantic_fingerprint": "sha256:d828bd2a7a2c79ffdf4b5a7712038f835a041757991e9e7b6347959f68abcc5f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000180", "prompt": "What is (9 * (-5) + 486) * 83?", "solution_steps": ["Multiply: 9 * (-5) = -45", "Add: -45 + 486 = 441", "Multiply: 441 * 83 = 36603"], "final_answer": "36603", "answer_type": "integer", "kind": "expression", "math_text": "(9 * (-5) + 486) * 83", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -5, \"c\": 486, \"d\": 83}", "seed": "5682291146741113627", "semantic_fingerprint": "sha256:18eeef2de6bb5e61fa9fc720c02e612ac8685905b42cbe80cfb88d66f8dbb751", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000181", "prompt": "What value of x satisfies 10(x - 19) - 71 = 3(x - 3) - 182?", "solution_steps": ["Expand: 10x - 190 - 71 = 3(x - 3) - 182", "Expand: 10x - 190 - 71 = 3x - 9 - 182", "Combine constants: 10x - 261 = 3x - 9 - 182", "Combine constants: 10x - 261 = 3x - 191", "Subtract 3x from both sides: 7x - 261 = -191", "Add 261 to both sides: 7x = 70", "Divide both sides by 7: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 19) - 71 = 3(x - 3) - 182", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 19, \"c\": 71, \"d\": 3, \"e\": 3, \"g\": -182, \"x\": 10}", "seed": "5468137299253497540", "semantic_fingerprint": "sha256:1179d6b8c25ad9b9580c9ec41ebd9f042f076383474de7b269c745d0c61c5eb4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000182", "prompt": "What value of x satisfies 7(x + 627) - 808 = x - 716?", "solution_steps": ["Expand: 7x + 4389 - 808 = x - 716", "Combine constants: 7x + 3581 = x - 716", "Subtract x from both sides: 6x + 3581 = -716", "Subtract 3581 from both sides: 6x = -4297", "Divide both sides by 6: x = -4297/6"], "final_answer": "-4297/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 627) - 808 = x - 716", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 627, \"c\": 808, \"d\": 716}", "seed": "8657716178114373298", "semantic_fingerprint": "sha256:6bbef76e7ead574d1a330f5b9e236fcb9497fff657416ab1b19f1b0188419d1e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000183", "prompt": "Find x: 6(x - 5) + 5 = 2(x + 84) - 53", "solution_steps": ["Expand: 6x - 30 + 5 = 2(x + 84) - 53", "Expand: 6x - 30 + 5 = 2x + 168 - 53", "Combine constants: 6x - 25 = 2x + 168 - 53", "Combine constants: 6x - 25 = 2x + 115", "Subtract 2x from both sides: 4x - 25 = 115", "Add 25 to both sides: 4x = 140", "Divide both sides by 4: x = 35"], "final_answer": "35", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 5) + 5 = 2(x + 84) - 53", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 5, \"d\": 2, \"e\": 84, \"f\": 53}", "seed": "2365852989039559931", "semantic_fingerprint": "sha256:2c9ce92a743eda0cbad5000fbf6e08e3232165024feb933202d98673bb0ceb04", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000184", "prompt": "What is 9 / (-4 * (-360) + (-7) - 0)?", "solution_steps": ["Multiply: -4 * (-360) = 1440", "Add: 1440 + (-7) = 1433", "Subtract: 1433 - 0 = 1433", "Divide: 9 / 1433 = 9/1433"], "final_answer": "9/1433", "answer_type": "rational", "kind": "expression", "math_text": "9 / (-4 * (-360) + (-7) - 0)", "variable": null, "family": "expression_4op", "shape": "(/ n (- (+ (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -4, \"c\": -360, \"d\": -7, \"e\": 0}", "seed": "14589652218426347461", "semantic_fingerprint": "sha256:d4809a9af51abef9d6a2c0d5dbbfcddebb0e6494e03e6ab27bdb6cb54e03b25d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000185", "prompt": "Solve for x: 4(x - 560) + 3 = 5(x - 15)", "solution_steps": ["Expand: 4x - 2240 + 3 = 5(x - 15)", "Expand: 4x - 2240 + 3 = 5x - 75", "Combine constants: 4x - 2237 = 5x - 75", "Subtract 5x from both sides: -x - 2237 = -75", "Add 2237 to both sides: -x = 2162", "Divide both sides by -1: x = -2162"], "final_answer": "-2162", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 560) + 3 = 5(x - 15)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 560, \"c\": 3, \"d\": 5, \"e\": 15}", "seed": "1196506682293139196", "semantic_fingerprint": "sha256:5a0ed10fc99822c31eb8e245a88aab08d0aa03809f393ee91d44775b0f7c12f5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000186", "prompt": "What is -198 + 381 - (-997) * (-148) / 2?", "solution_steps": ["Add: -198 + 381 = 183", "Multiply: -997 * (-148) = 147556", "Divide: 147556 / 2 = 73778", "Subtract: 183 - 73778 = -73595"], "final_answer": "-73595", "answer_type": "integer", "kind": "expression", "math_text": "-198 + 381 - (-997) * (-148) / 2", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -198, \"b\": 381, \"c\": -997, \"d\": -148, \"e\": 2}", "seed": "16944787249658503312", "semantic_fingerprint": "sha256:c4c84ed4dbd0b49725621641a629e9c21449187c4313709b99214fdfa5803a94", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000187", "prompt": "Compute: -663 + 600 / 51 / (-57)", "solution_steps": ["Divide: 600 / 51 = 200/17", "Divide: (200/17) / (-57) = -200/969", "Add: -663 + (-200/969) = -642647/969"], "final_answer": "-642647/969", "answer_type": "rational", "kind": "expression", "math_text": "-663 + 600 / 51 / (-57)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -663, \"b\": 600, \"c\": 51, \"d\": -57}", "seed": "12465995824540739144", "semantic_fingerprint": "sha256:fd364befb66b58a31090aac2fab45a55caa1c0967b8bc2664aebb1b9055f4649", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000188", "prompt": "Calculate: 63 + (-9) + 138 - (-541) / 1", "solution_steps": ["Add: 63 + (-9) = 54", "Add: 54 + 138 = 192", "Divide: -541 / 1 = -541", "Subtract: 192 - (-541) = 733"], "final_answer": "733", "answer_type": "integer", "kind": "expression", "math_text": "63 + (-9) + 138 - (-541) / 1", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -9, \"c\": 138, \"d\": -541, \"e\": 1}", "seed": "15802723696013297841", "semantic_fingerprint": "sha256:2f7224d254d3bc8fd291a7aa180f67288f9dd228caf4fe04d16165fe99575273", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000189", "prompt": "Find x: 6(x + 2) + 51 = 7(x + 148) - 970", "solution_steps": ["Expand: 6x + 12 + 51 = 7(x + 148) - 970", "Expand: 6x + 12 + 51 = 7x + 1036 - 970", "Combine constants: 6x + 63 = 7x + 1036 - 970", "Combine constants: 6x + 63 = 7x + 66", "Subtract 7x from both sides: -x + 63 = 66", "Subtract 63 from both sides: -x = 3", "Divide both sides by -1: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 2) + 51 = 7(x + 148) - 970", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 51, \"d\": 7, \"e\": 148, \"g\": -970, \"x\": -3}", "seed": "18434243715097761080", "semantic_fingerprint": "sha256:0a5bd0bbe7e6a01d14da1b81bc14dc851285731f1ff1c7574f218d0ebfb23a9a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000190", "prompt": "Solve for x: 8(x - 98) - 704 = -12(x - 28) - 11", "solution_steps": ["Expand: 8x - 784 - 704 = -12(x - 28) - 11", "Expand: 8x - 784 - 704 = -12x + 336 - 11", "Combine constants: 8x - 1488 = -12x + 336 - 11", "Combine constants: 8x - 1488 = -12x + 325", "Add 12x to both sides: 20x - 1488 = 325", "Add 1488 to both sides: 20x = 1813", "Divide both sides by 20: x = 1813/20"], "final_answer": "1813/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 98) - 704 = -12(x - 28) - 11", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 98, \"c\": 704, \"d\": -12, \"e\": 28, \"f\": 11}", "seed": "8092985870262675516", "semantic_fingerprint": "sha256:0f2569b76a459baac2da02151d83771a3c6a1659d65898c321f060aaf13d8c32", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000191", "prompt": "Solve for x: 4(x - 1) + 397 = 3(x + 71) - 7", "solution_steps": ["Expand: 4x - 4 + 397 = 3(x + 71) - 7", "Expand: 4x - 4 + 397 = 3x + 213 - 7", "Combine constants: 4x + 393 = 3x + 213 - 7", "Combine constants: 4x + 393 = 3x + 206", "Subtract 3x from both sides: x + 393 = 206", "Subtract 393 from both sides: x = -187"], "final_answer": "-187", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 1) + 397 = 3(x + 71) - 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 397, \"d\": 3, \"e\": 71, \"f\": 7}", "seed": "10905379092365754493", "semantic_fingerprint": "sha256:dead611bdaa09b0ba6251010b10f373e8f670dc1d1c9097c2ec8186bd886570c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000192", "prompt": "Compute: 6 + (-58) / (-73) / (-73)", "solution_steps": ["Divide: -58 / (-73) = 58/73", "Divide: (58/73) / (-73) = -58/5329", "Add: 6 + (-58/5329) = 31916/5329"], "final_answer": "31916/5329", "answer_type": "rational", "kind": "expression", "math_text": "6 + (-58) / (-73) / (-73)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -58, \"c\": -73, \"d\": -73}", "seed": "447812607378966458", "semantic_fingerprint": "sha256:9ad3cf3258e0122064fd31cbc6561d94008c122bd3b6b570c39ccb52cca2def4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000193", "prompt": "What is -1 * (-9 / (-1) / (-968) + 39)?", "solution_steps": ["Divide: -9 / (-1) = 9", "Divide: 9 / (-968) = -9/968", "Add: -9/968 + 39 = 37743/968", "Multiply: -1 * (37743/968) = -37743/968"], "final_answer": "-37743/968", "answer_type": "rational", "kind": "expression", "math_text": "-1 * (-9 / (-1) / (-968) + 39)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (/ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -9, \"c\": -1, \"d\": -968, \"e\": 39}", "seed": "18075987359158246072", "semantic_fingerprint": "sha256:51ca550a046fc1ed3f8d3225a53f4c3c55fcff999013da33dc278354cbc4fef3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000194", "prompt": "Evaluate: (3 - 60 + (-25)) * 595", "solution_steps": ["Subtract: 3 - 60 = -57", "Add: -57 + (-25) = -82", "Multiply: -82 * 595 = -48790"], "final_answer": "-48790", "answer_type": "integer", "kind": "expression", "math_text": "(3 - 60 + (-25)) * 595", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 60, \"c\": -25, \"d\": 595}", "seed": "3341782592195495434", "semantic_fingerprint": "sha256:5c3c966d39ee1e8aab7bce9c508307d3c6b1c2fbebaa7d36ba4abda5f73f960f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000195", "prompt": "What value of x satisfies 12(x - 5) + 700 = 6x + 754?", "solution_steps": ["Expand: 12x - 60 + 700 = 6x + 754", "Combine constants: 12x + 640 = 6x + 754", "Subtract 6x from both sides: 6x + 640 = 754", "Subtract 640 from both sides: 6x = 114", "Divide both sides by 6: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 5) + 700 = 6x + 754", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 700, \"d\": 6, \"f\": 754, \"x\": 19}", "seed": "5413324923131518292", "semantic_fingerprint": "sha256:9331a86f714c6462fd65d7eac7b0aa01b19db6891f2a8e4c4b6a55a190042f90", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000196", "prompt": "Evaluate: 36 * ((587 - 2) * (-2)) + (-74)", "solution_steps": ["Subtract: 587 - 2 = 585", "Multiply: 585 * (-2) = -1170", "Multiply: 36 * (-1170) = -42120", "Add: -42120 + (-74) = -42194"], "final_answer": "-42194", "answer_type": "integer", "kind": "expression", "math_text": "36 * ((587 - 2) * (-2)) + (-74)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (* (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": 587, \"c\": 2, \"d\": -2, \"e\": -74}", "seed": "4305835983431533269", "semantic_fingerprint": "sha256:9c3fd135ca27c443018158cfdbdc422dec45e6fdffbfa7936f0ffa144bb29406", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000197", "prompt": "Compute: 800 / (5 * 51 / 4)", "solution_steps": ["Multiply: 5 * 51 = 255", "Divide: 255 / 4 = 255/4", "Divide: 800 / (255/4) = 640/51"], "final_answer": "640/51", "answer_type": "rational", "kind": "expression", "math_text": "800 / (5 * 51 / 4)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 800, \"b\": 5, \"c\": 51, \"d\": 4}", "seed": "8002670180802071275", "semantic_fingerprint": "sha256:07f33d360726e26988158158f41a31cf39f1ff1f9bfaea1231b23c1cb2638299", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000198", "prompt": "Calculate: 275 + 32 - (-999) / (-48) + (-27)", "solution_steps": ["Add: 275 + 32 = 307", "Divide: -999 / (-48) = 333/16", "Subtract: 307 - 333/16 = 4579/16", "Add: 4579/16 + (-27) = 4147/16"], "final_answer": "4147/16", "answer_type": "rational", "kind": "expression", "math_text": "275 + 32 - (-999) / (-48) + (-27)", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 275, \"b\": 32, \"c\": -999, \"d\": -48, \"e\": -27}", "seed": "10209681260613468203", "semantic_fingerprint": "sha256:9248f4e0a6a798cb3b97a5e3855d0ec79a7eed3bf0b4705495093928fa04f994", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000199", "prompt": "What is -1 - (586 + (-208)) + (-10)?", "solution_steps": ["Add: 586 + (-208) = 378", "Subtract: -1 - 378 = -379", "Add: -379 + (-10) = -389"], "final_answer": "-389", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (586 + (-208)) + (-10)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 586, \"c\": -208, \"d\": -10}", "seed": "10350907291740517719", "semantic_fingerprint": "sha256:620453201459e916d734b90cf2cb0b37e91bf6d403c9678b86de0ac1c291d810", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000200", "prompt": "Compute: 0 + (8 / (-3 / (648 / 884)) - (-5))", "solution_steps": ["Divide: 648 / 884 = 162/221", "Divide: -3 / (162/221) = -221/54", "Divide: 8 / (-221/54) = -432/221", "Subtract: -432/221 - (-5) = 673/221", "Add: 0 + 673/221 = 673/221"], "final_answer": "673/221", "answer_type": "rational", "kind": "expression", "math_text": "0 + (8 / (-3 / (648 / 884)) - (-5))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (/ n (/ n (/ n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 8, \"c\": -3, \"d\": 648, \"e\": 884, \"f\": -5}", "seed": "3778860000267310055", "semantic_fingerprint": "sha256:2dc213c6307808850cee46a3e9d6f5dac877d6fffb5e32cf3d35a07d9ee730a4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000201", "prompt": "Evaluate: (76 - (665 - 0) / (-1)) / (-397)", "solution_steps": ["Subtract: 665 - 0 = 665", "Divide: 665 / (-1) = -665", "Subtract: 76 - (-665) = 741", "Divide: 741 / (-397) = -741/397"], "final_answer": "-741/397", "answer_type": "rational", "kind": "expression", "math_text": "(76 - (665 - 0) / (-1)) / (-397)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (/ (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 665, \"c\": 0, \"d\": -1, \"e\": -397}", "seed": "3707772643371992056", "semantic_fingerprint": "sha256:2bf7bb3bb2f567ebe920303d909573e37c0b7035132f535597da9ac9336ff2b7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000202", "prompt": "Compute: 995 - (15 + (593 - 946))", "solution_steps": ["Subtract: 593 - 946 = -353", "Add: 15 + (-353) = -338", "Subtract: 995 - (-338) = 1333"], "final_answer": "1333", "answer_type": "integer", "kind": "expression", "math_text": "995 - (15 + (593 - 946))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 995, \"b\": 15, \"c\": 593, \"d\": 946}", "seed": "1373623705148389295", "semantic_fingerprint": "sha256:0055d6350ce1226a1e1838a96f54930b50a8b0f2d24e16999def90d6f5954479", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000203", "prompt": "Find x: x - 45 = 5(x - 5) + 337", "solution_steps": ["Expand: x - 45 = 5x - 25 + 337", "Combine constants: x - 45 = 5x + 312", "Subtract 5x from both sides: -4x - 45 = 312", "Add 45 to both sides: -4x = 357", "Divide both sides by -4: x = -357/4"], "final_answer": "-357/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 45 = 5(x - 5) + 337", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": 5, \"c\": 5, \"d\": 337}", "seed": "5832290933895992583", "semantic_fingerprint": "sha256:dd4fe2bed98707ea5fbb27a2c239a875971598316809f16399c1865928f1b61d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000204", "prompt": "Find x: -5(x + 8) - 548 = x - 684", "solution_steps": ["Expand: -5x - 40 - 548 = x - 684", "Combine constants: -5x - 588 = x - 684", "Subtract x from both sides: -6x - 588 = -684", "Add 588 to both sides: -6x = -96", "Divide both sides by -6: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 8) - 548 = x - 684", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 8, \"c\": 548, \"e\": -684, \"x\": 16}", "seed": "10209389043767504992", "semantic_fingerprint": "sha256:1c4cb3d133d66039389ffcc82b5ac61bc8970673812a144a538c494f8b8aef59", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000205", "prompt": "What value of x satisfies x - 40 = 5(x - 194) + 48?", "solution_steps": ["Expand: x - 40 = 5x - 970 + 48", "Combine constants: x - 40 = 5x - 922", "Subtract 5x from both sides: -4x - 40 = -922", "Add 40 to both sides: -4x = -882", "Divide both sides by -4: x = 441/2"], "final_answer": "441/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 40 = 5(x - 194) + 48", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": 5, \"c\": 194, \"d\": 48}", "seed": "9803397908284332121", "semantic_fingerprint": "sha256:84278771f42f799bf84a492871bfd24db3ee0f6dbdd1a4658c70a39015d37f38", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000206", "prompt": "Calculate: (1 - 986) / (-96) - (64 - (-85))", "solution_steps": ["Subtract: 1 - 986 = -985", "Divide: -985 / (-96) = 985/96", "Subtract: 64 - (-85) = 149", "Subtract: 985/96 - 149 = -13319/96"], "final_answer": "-13319/96", "answer_type": "rational", "kind": "expression", "math_text": "(1 - 986) / (-96) - (64 - (-85))", "variable": null, "family": "expression_4op", "shape": "(- (/ (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 986, \"c\": -96, \"d\": 64, \"e\": -85}", "seed": "9187989753663794148", "semantic_fingerprint": "sha256:7ad9653818b3176d1758b0c78566d8292fbe43b899e3da7d5765c0ef953a2990", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000207", "prompt": "What value of x satisfies -9(x - 2) + 836 = 12(x + 3) - 4?", "solution_steps": ["Expand: -9x + 18 + 836 = 12(x + 3) - 4", "Expand: -9x + 18 + 836 = 12x + 36 - 4", "Combine constants: -9x + 854 = 12x + 36 - 4", "Combine constants: -9x + 854 = 12x + 32", "Subtract 12x from both sides: -21x + 854 = 32", "Subtract 854 from both sides: -21x = -822", "Divide both sides by -21: x = 274/7"], "final_answer": "274/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 2) + 836 = 12(x + 3) - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 2, \"c\": 836, \"d\": 12, \"e\": 3, \"f\": 4}", "seed": "275297763622233645", "semantic_fingerprint": "sha256:4cc5611931c31f698216488f6ec95606c3d8d93ae32ccb915f906ab5e5bddaf6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000208", "prompt": "What is -4 + (-78 / (-5) + (-97 + (4 + (-39))))?", "solution_steps": ["Divide: -78 / (-5) = 78/5", "Add: 4 + (-39) = -35", "Add: -97 + (-35) = -132", "Add: 78/5 + (-132) = -582/5", "Add: -4 + (-582/5) = -602/5"], "final_answer": "-602/5", "answer_type": "rational", "kind": "expression", "math_text": "-4 + (-78 / (-5) + (-97 + (4 + (-39))))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (/ n n) (+ n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -78, \"c\": -5, \"d\": -97, \"e\": 4, \"f\": -39}", "seed": "13258337859834856416", "semantic_fingerprint": "sha256:a96904e1cc046d1647dac5f3b68580f6f4fbc04f02837061d203e10f0697bb73", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000209", "prompt": "Evaluate: (0 - (-9)) * 64 * 1", "solution_steps": ["Subtract: 0 - (-9) = 9", "Multiply: 9 * 64 = 576", "Multiply: 576 * 1 = 576"], "final_answer": "576", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-9)) * 64 * 1", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -9, \"c\": 64, \"d\": 1}", "seed": "8967984283658074925", "semantic_fingerprint": "sha256:d21089ecdd9b000d4d2aec8f2294ba96ce312e224411a5b881a1a891713ff741", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000210", "prompt": "Compute: (-91 + (-230)) * 7 * (-361 + 38)", "solution_steps": ["Add: -91 + (-230) = -321", "Multiply: -321 * 7 = -2247", "Add: -361 + 38 = -323", "Multiply: -2247 * (-323) = 725781"], "final_answer": "725781", "answer_type": "integer", "kind": "expression", "math_text": "(-91 + (-230)) * 7 * (-361 + 38)", "variable": null, "family": "expression_4op", "shape": "(* (* (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -230, \"c\": 7, \"d\": -361, \"e\": 38}", "seed": "9807980952114796289", "semantic_fingerprint": "sha256:21738308a06343e3798250f02a583ed89f9f2c6baf9f22e3b03090af23a0c2e2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000211", "prompt": "Solve the equation 11(x - 5) + 647 = -6(x - 42) for x.", "solution_steps": ["Expand: 11x - 55 + 647 = -6(x - 42)", "Expand: 11x - 55 + 647 = -6x + 252", "Combine constants: 11x + 592 = -6x + 252", "Add 6x to both sides: 17x + 592 = 252", "Subtract 592 from both sides: 17x = -340", "Divide both sides by 17: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 5) + 647 = -6(x - 42)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": -6, \"d\": 42, \"f\": 647, \"x\": -20}", "seed": "4381952114686567354", "semantic_fingerprint": "sha256:456f1f3558805a658ffb9f08532accad0d8c47f66092a6423f47f0b3d361edda", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000212", "prompt": "Compute: 81 * (696 / (-49)) + (378 + (-2) + (-22))", "solution_steps": ["Divide: 696 / (-49) = -696/49", "Multiply: 81 * (-696/49) = -56376/49", "Add: 378 + (-2) = 376", "Add: 376 + (-22) = 354", "Add: -56376/49 + 354 = -39030/49"], "final_answer": "-39030/49", "answer_type": "rational", "kind": "expression", "math_text": "81 * (696 / (-49)) + (378 + (-2) + (-22))", "variable": null, "family": "expression_5op", "shape": "(+ (* n (/ n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 696, \"c\": -49, \"d\": 378, \"e\": -2, \"f\": -22}", "seed": "2859607136052833673", "semantic_fingerprint": "sha256:26ff93db99bf5fc3c389a6c4e656f58ea53a7ea72b48af5e1c66fc757d5a0761", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000213", "prompt": "Evaluate: 3 - (-112 * (-112) + (-28))", "solution_steps": ["Multiply: -112 * (-112) = 12544", "Add: 12544 + (-28) = 12516", "Subtract: 3 - 12516 = -12513"], "final_answer": "-12513", "answer_type": "integer", "kind": "expression", "math_text": "3 - (-112 * (-112) + (-28))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -112, \"c\": -112, \"d\": -28}", "seed": "15667692875720324141", "semantic_fingerprint": "sha256:870d2cf6f96627e42dde60f2c2e89b229878d322827ecb4478673fa896a4ec8e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000214", "prompt": "What is -41 * (-38 - (-77)) / (203 * 6) * (-58)?", "solution_steps": ["Subtract: -38 - (-77) = 39", "Multiply: -41 * 39 = -1599", "Multiply: 203 * 6 = 1218", "Divide: -1599 / 1218 = -533/406", "Multiply: (-533/406) * (-58) = 533/7"], "final_answer": "533/7", "answer_type": "rational", "kind": "expression", "math_text": "-41 * (-38 - (-77)) / (203 * 6) * (-58)", "variable": null, "family": "expression_5op", "shape": "(* (/ (* n (- n n)) (* n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": -38, \"c\": -77, \"d\": 203, \"e\": 6, \"f\": -58}", "seed": "8190518576300383515", "semantic_fingerprint": "sha256:ea80990ede5691ef98487f7ea14589422ab0b49c52493db8f5338bc901c092fe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000215", "prompt": "Find x: 2(x + 29) - 59 = x - 1", "solution_steps": ["Expand: 2x + 58 - 59 = x - 1", "Combine constants: 2x - 1 = x - 1", "Subtract x from both sides: x - 1 = -1", "Add 1 to both sides: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 29) - 59 = x - 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 29, \"c\": 59, \"e\": -1, \"x\": 0}", "seed": "895132956268395663", "semantic_fingerprint": "sha256:f9952fde23a716acb88898e00457cb37bb599efe715a94ab4c0ca7c7133d5704", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000216", "prompt": "What value of x satisfies 2(x - 1) = 10x - 50?", "solution_steps": ["Expand: 2x - 2 = 10x - 50", "Subtract 10x from both sides: -8x - 2 = -50", "Add 2 to both sides: -8x = -48", "Divide both sides by -8: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 1) = 10x - 50", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 1, \"c\": 10, \"e\": -50, \"x\": 6}", "seed": "498850043821211590", "semantic_fingerprint": "sha256:a33246ed9e633848d6b4d6dd8285d70b40c2002a6c1f3c254aa6a2346d0754e8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000217", "prompt": "Solve for x: x - 8 = 10(x - 44) + 405", "solution_steps": ["Expand: x - 8 = 10x - 440 + 405", "Combine constants: x - 8 = 10x - 35", "Subtract 10x from both sides: -9x - 8 = -35", "Add 8 to both sides: -9x = -27", "Divide both sides by -9: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8 = 10(x - 44) + 405", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 10, \"c\": 44, \"e\": 405, \"x\": 3}", "seed": "719116182368775734", "semantic_fingerprint": "sha256:17b01acdd893224a58803fbd8f26fa2eb65d89f58f94e9e96fa2e16ffcdfa890", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000218", "prompt": "Find x: -5(x - 93) + 60 = 2x + 2", "solution_steps": ["Expand: -5x + 465 + 60 = 2x + 2", "Combine constants: -5x + 525 = 2x + 2", "Subtract 2x from both sides: -7x + 525 = 2", "Subtract 525 from both sides: -7x = -523", "Divide both sides by -7: x = 523/7"], "final_answer": "523/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 93) + 60 = 2x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 93, \"c\": 60, \"d\": 2, \"e\": 2}", "seed": "15387935141252521919", "semantic_fingerprint": "sha256:123dfab01bae8f959342bd12ba5786adabbaf1e638e2e212e2f1667b9cedffd3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000219", "prompt": "Compute: 1 / 88 * (24 - 2) * (-51 / (-7))", "solution_steps": ["Divide: 1 / 88 = 1/88", "Subtract: 24 - 2 = 22", "Multiply: (1/88) * 22 = 1/4", "Divide: -51 / (-7) = 51/7", "Multiply: (1/4) * (51/7) = 51/28"], "final_answer": "51/28", "answer_type": "rational", "kind": "expression", "math_text": "1 / 88 * (24 - 2) * (-51 / (-7))", "variable": null, "family": "expression_5op", "shape": "(* (* (/ n n) (- n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 88, \"c\": 24, \"d\": 2, \"e\": -51, \"f\": -7}", "seed": "2414946107630787601", "semantic_fingerprint": "sha256:40893b31eea9231831013019b79c421ab35515f3dd05383a5c5a7cc909b3259b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000220", "prompt": "Calculate: 3 - (-58 + 795 + (-36 + 9))", "solution_steps": ["Add: -58 + 795 = 737", "Add: -36 + 9 = -27", "Add: 737 + (-27) = 710", "Subtract: 3 - 710 = -707"], "final_answer": "-707", "answer_type": "integer", "kind": "expression", "math_text": "3 - (-58 + 795 + (-36 + 9))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -58, \"c\": 795, \"d\": -36, \"e\": 9}", "seed": "8324173105382241437", "semantic_fingerprint": "sha256:76ec897a72644d0532b337fad894724d1f9238e7d637fc90716bd89aeed23b62", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000221", "prompt": "Compute: (69 + 157) * ((-61 - (-58)) * (-884 / (-60)))", "solution_steps": ["Add: 69 + 157 = 226", "Subtract: -61 - (-58) = -3", "Divide: -884 / (-60) = 221/15", "Multiply: -3 * (221/15) = -221/5", "Multiply: 226 * (-221/5) = -49946/5"], "final_answer": "-49946/5", "answer_type": "rational", "kind": "expression", "math_text": "(69 + 157) * ((-61 - (-58)) * (-884 / (-60)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (* (- n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 157, \"c\": -61, \"d\": -58, \"e\": -884, \"f\": -60}", "seed": "13055315654189990945", "semantic_fingerprint": "sha256:9c76022ba1ceab93ce86c082e3de567b1b0f77325c1e13bec404a29395fbc779", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000222", "prompt": "Find x: -7(x - 43) - 515 = 8(x - 8)", "solution_steps": ["Expand: -7x + 301 - 515 = 8(x - 8)", "Expand: -7x + 301 - 515 = 8x - 64", "Combine constants: -7x - 214 = 8x - 64", "Subtract 8x from both sides: -15x - 214 = -64", "Add 214 to both sides: -15x = 150", "Divide both sides by -15: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 43) - 515 = 8(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 43, \"c\": 8, \"d\": 8, \"f\": -515, \"x\": -10}", "seed": "15472554719082887043", "semantic_fingerprint": "sha256:02041d4489f7bdb1c4bc196344d482cbe49089ebb9b3eb328df09f6121b85fac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000223", "prompt": "Calculate: (600 - (-6)) * (138 / (-714))", "solution_steps": ["Subtract: 600 - (-6) = 606", "Divide: 138 / (-714) = -23/119", "Multiply: 606 * (-23/119) = -13938/119"], "final_answer": "-13938/119", "answer_type": "rational", "kind": "expression", "math_text": "(600 - (-6)) * (138 / (-714))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 600, \"b\": -6, \"c\": 138, \"d\": -714}", "seed": "10755289816233831707", "semantic_fingerprint": "sha256:6887f4d5e6b62e4f3a42fedf26b89dd66ae3c1e80eb8ce46a2dd5fa5409a74bb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000224", "prompt": "Compute: 2 * 0 * (8 - (-26)) + 56", "solution_steps": ["Multiply: 2 * 0 = 0", "Subtract: 8 - (-26) = 34", "Multiply: 0 * 34 = 0", "Add: 0 + 56 = 56"], "final_answer": "56", "answer_type": "integer", "kind": "expression", "math_text": "2 * 0 * (8 - (-26)) + 56", "variable": null, "family": "expression_4op", "shape": "(+ (* (* n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 0, \"c\": 8, \"d\": -26, \"e\": 56}", "seed": "4214370200086474264", "semantic_fingerprint": "sha256:aaff24f780d7b5b7564c46efac9513d26bd463d26e1e729ef2323aa7a4a490ca", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000225", "prompt": "Compute: (-49 - (-9)) / (88 * 84)", "solution_steps": ["Subtract: -49 - (-9) = -40", "Multiply: 88 * 84 = 7392", "Divide: -40 / 7392 = -5/924"], "final_answer": "-5/924", "answer_type": "rational", "kind": "expression", "math_text": "(-49 - (-9)) / (88 * 84)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": -9, \"c\": 88, \"d\": 84}", "seed": "586201348388202969", "semantic_fingerprint": "sha256:a25b3751e509055691df4cbfc642e998b6c3ee7ee3a43b6ad5f4acc64cf17bad", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000226", "prompt": "Solve the equation -2(x - 48) + 7 = 5(x + 17) - 10 for x.", "solution_steps": ["Expand: -2x + 96 + 7 = 5(x + 17) - 10", "Expand: -2x + 96 + 7 = 5x + 85 - 10", "Combine constants: -2x + 103 = 5x + 85 - 10", "Combine constants: -2x + 103 = 5x + 75", "Subtract 5x from both sides: -7x + 103 = 75", "Subtract 103 from both sides: -7x = -28", "Divide both sides by -7: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 48) + 7 = 5(x + 17) - 10", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 48, \"c\": 7, \"d\": 5, \"e\": 17, \"g\": -10, \"x\": 4}", "seed": "3551723864440309129", "semantic_fingerprint": "sha256:e461b83d969bad188c0c37d1fbc3edbc59bc7ca7c033b430f9b837d7ca6246c4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000227", "prompt": "Evaluate: -24 * (-5) - (20 + (-2) * 1 - (-21))", "solution_steps": ["Multiply: -24 * (-5) = 120", "Multiply: -2 * 1 = -2", "Add: 20 + (-2) = 18", "Subtract: 18 - (-21) = 39", "Subtract: 120 - 39 = 81"], "final_answer": "81", "answer_type": "integer", "kind": "expression", "math_text": "-24 * (-5) - (20 + (-2) * 1 - (-21))", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (- (+ n (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": -5, \"c\": 20, \"d\": -2, \"e\": 1, \"f\": -21}", "seed": "6440608520578692718", "semantic_fingerprint": "sha256:0d67782331b42c1a3c18dbb0e037c7c4e3983ce3f416bd635a0f6b792d356ca3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000228", "prompt": "Evaluate: 885 * (-98) + (8 / (-4) - 0)", "solution_steps": ["Multiply: 885 * (-98) = -86730", "Divide: 8 / (-4) = -2", "Subtract: -2 - 0 = -2", "Add: -86730 + (-2) = -86732"], "final_answer": "-86732", "answer_type": "integer", "kind": "expression", "math_text": "885 * (-98) + (8 / (-4) - 0)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 885, \"b\": -98, \"c\": 8, \"d\": -4, \"e\": 0}", "seed": "4001718769380946099", "semantic_fingerprint": "sha256:b576997fe25aac7ac7a034f575048877d33ad8eca9403d4320889c541976b307", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000229", "prompt": "Compute: (-551 + 32 + (-55)) * 66", "solution_steps": ["Add: -551 + 32 = -519", "Add: -519 + (-55) = -574", "Multiply: -574 * 66 = -37884"], "final_answer": "-37884", "answer_type": "integer", "kind": "expression", "math_text": "(-551 + 32 + (-55)) * 66", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -551, \"b\": 32, \"c\": -55, \"d\": 66}", "seed": "4045668467012517422", "semantic_fingerprint": "sha256:69cf566912c6ba94e0695a1b9a6378e7dc62dc56ff97e11cbb1c9afd8fe424a1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000230", "prompt": "What value of x satisfies 9(x - 74) + 2 = 11(x + 4) - 131?", "solution_steps": ["Expand: 9x - 666 + 2 = 11(x + 4) - 131", "Expand: 9x - 666 + 2 = 11x + 44 - 131", "Combine constants: 9x - 664 = 11x + 44 - 131", "Combine constants: 9x - 664 = 11x - 87", "Subtract 11x from both sides: -2x - 664 = -87", "Add 664 to both sides: -2x = 577", "Divide both sides by -2: x = -577/2"], "final_answer": "-577/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 74) + 2 = 11(x + 4) - 131", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 74, \"c\": 2, \"d\": 11, \"e\": 4, \"f\": 131}", "seed": "18331420048416129999", "semantic_fingerprint": "sha256:b98eae1bf37d41b2b156438a49b1289c7a3ff27f82b8b8a4390cb3ee65955763", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000231", "prompt": "Solve for x: 3(x + 865) - 78 = x - 484", "solution_steps": ["Expand: 3x + 2595 - 78 = x - 484", "Combine constants: 3x + 2517 = x - 484", "Subtract x from both sides: 2x + 2517 = -484", "Subtract 2517 from both sides: 2x = -3001", "Divide both sides by 2: x = -3001/2"], "final_answer": "-3001/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 865) - 78 = x - 484", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 865, \"c\": 78, \"d\": 484}", "seed": "10969987362804562664", "semantic_fingerprint": "sha256:b00a6b0861e3b95cd85e2df57b44bd8d82db996e5aea7471c24b71a4ef662889", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000232", "prompt": "Compute: -64 - (-2 * (88 - 992) - 6)", "solution_steps": ["Subtract: 88 - 992 = -904", "Multiply: -2 * (-904) = 1808", "Subtract: 1808 - 6 = 1802", "Subtract: -64 - 1802 = -1866"], "final_answer": "-1866", "answer_type": "integer", "kind": "expression", "math_text": "-64 - (-2 * (88 - 992) - 6)", "variable": null, "family": "expression_4op", "shape": "(- n (- (* n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": -2, \"c\": 88, \"d\": 992, \"e\": 6}", "seed": "8329689237285673887", "semantic_fingerprint": "sha256:9df7579de62227e9d1eeeb312190b0eb2820d3ec1ee3ec7c0816cd7287401f52", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000233", "prompt": "Solve the equation -2x - 4 = -8(x + 39) + 2 for x.", "solution_steps": ["Expand: -2x - 4 = -8x - 312 + 2", "Combine constants: -2x - 4 = -8x - 310", "Add 8x to both sides: 6x - 4 = -310", "Add 4 to both sides: 6x = -306", "Divide both sides by 6: x = -51"], "final_answer": "-51", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 4 = -8(x + 39) + 2", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 4, \"c\": -8, \"d\": 39, \"e\": 2}", "seed": "4219679143175521264", "semantic_fingerprint": "sha256:2d014034b292a94a8f5e96e101325ca9b2b679280d0ee73c50955d91f0464d85", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000234", "prompt": "Solve for x: -8(x - 25) - 234 = -2(x - 40)", "solution_steps": ["Expand: -8x + 200 - 234 = -2(x - 40)", "Expand: -8x + 200 - 234 = -2x + 80", "Combine constants: -8x - 34 = -2x + 80", "Add 2x to both sides: -6x - 34 = 80", "Add 34 to both sides: -6x = 114", "Divide both sides by -6: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 25) - 234 = -2(x - 40)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 25, \"c\": -2, \"d\": 40, \"f\": -234, \"x\": -19}", "seed": "17777749912258399809", "semantic_fingerprint": "sha256:87c1988f672e72d5e7dddf27244d1716ea7864694170caecf4f098c61de345ac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000235", "prompt": "What is (377 + 85 + (-50)) / (-3 - (-221))?", "solution_steps": ["Add: 377 + 85 = 462", "Add: 462 + (-50) = 412", "Subtract: -3 - (-221) = 218", "Divide: 412 / 218 = 206/109"], "final_answer": "206/109", "answer_type": "rational", "kind": "expression", "math_text": "(377 + 85 + (-50)) / (-3 - (-221))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 377, \"b\": 85, \"c\": -50, \"d\": -3, \"e\": -221}", "seed": "2339115190944246876", "semantic_fingerprint": "sha256:f1d591cd33b0e75452ab06b4d42fc308667223c0dfe0473445805e58ef300a2a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000236", "prompt": "Find x: x - 9 = 8(x - 50) + 356", "solution_steps": ["Expand: x - 9 = 8x - 400 + 356", "Combine constants: x - 9 = 8x - 44", "Subtract 8x from both sides: -7x - 9 = -44", "Add 9 to both sides: -7x = -35", "Divide both sides by -7: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9 = 8(x - 50) + 356", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 50, \"e\": 356, \"x\": 5}", "seed": "10133867121045091784", "semantic_fingerprint": "sha256:dc05a962ab2ef05ca5f6a396bf28057976e1b639617c5531b8414dee2f2a2a64", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000237", "prompt": "Compute: -3 + (-19) / 7 / (-675)", "solution_steps": ["Divide: -19 / 7 = -19/7", "Divide: (-19/7) / (-675) = 19/4725", "Add: -3 + 19/4725 = -14156/4725"], "final_answer": "-14156/4725", "answer_type": "rational", "kind": "expression", "math_text": "-3 + (-19) / 7 / (-675)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -19, \"c\": 7, \"d\": -675}", "seed": "10455893770543705499", "semantic_fingerprint": "sha256:cc4aa3d0b4efba616713f053bbdaf8e248974a5128312f471e9f65b27a37e7cc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000238", "prompt": "Solve for x: -11(x - 6) - 582 = -7(x - 85)", "solution_steps": ["Expand: -11x + 66 - 582 = -7(x - 85)", "Expand: -11x + 66 - 582 = -7x + 595", "Combine constants: -11x - 516 = -7x + 595", "Add 7x to both sides: -4x - 516 = 595", "Add 516 to both sides: -4x = 1111", "Divide both sides by -4: x = -1111/4"], "final_answer": "-1111/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 6) - 582 = -7(x - 85)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 6, \"c\": 582, \"d\": -7, \"e\": 85}", "seed": "7340719644372325591", "semantic_fingerprint": "sha256:08edfb1d3aee18c8b85855e467f2e6d8dfefe3c5b3870835c6193ed83d7b89ef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000239", "prompt": "What is 5 * (-7 * (-9)) - (-94)?", "solution_steps": ["Multiply: -7 * (-9) = 63", "Multiply: 5 * 63 = 315", "Subtract: 315 - (-94) = 409"], "final_answer": "409", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-7 * (-9)) - (-94)", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -7, \"c\": -9, \"d\": -94}", "seed": "3084236040419577415", "semantic_fingerprint": "sha256:2955d24b91e3d8deb999bb6765eaeb790fbd670a26675ed7c8e06b881da33a5f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000240", "prompt": "Calculate: 18 / (0 - 4 - 689)", "solution_steps": ["Subtract: 0 - 4 = -4", "Subtract: -4 - 689 = -693", "Divide: 18 / (-693) = -2/77"], "final_answer": "-2/77", "answer_type": "rational", "kind": "expression", "math_text": "18 / (0 - 4 - 689)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 0, \"c\": 4, \"d\": 689}", "seed": "3512148580753040649", "semantic_fingerprint": "sha256:6c6430b40b21d3bca1febc6926562d88bd938b62dfcb9cc3f74c13f632b9a0cc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000241", "prompt": "Evaluate: (190 / 846 + (-37)) * (-63)", "solution_steps": ["Divide: 190 / 846 = 95/423", "Add: 95/423 + (-37) = -15556/423", "Multiply: (-15556/423) * (-63) = 108892/47"], "final_answer": "108892/47", "answer_type": "rational", "kind": "expression", "math_text": "(190 / 846 + (-37)) * (-63)", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 190, \"b\": 846, \"c\": -37, \"d\": -63}", "seed": "18039253543881234918", "semantic_fingerprint": "sha256:92937b29643482a002b0f576c834800de36712d83b5f426a2562663bba8b72a2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000242", "prompt": "Find x: 12(x - 64) + 9 = 2(x + 2) - 893", "solution_steps": ["Expand: 12x - 768 + 9 = 2(x + 2) - 893", "Expand: 12x - 768 + 9 = 2x + 4 - 893", "Combine constants: 12x - 759 = 2x + 4 - 893", "Combine constants: 12x - 759 = 2x - 889", "Subtract 2x from both sides: 10x - 759 = -889", "Add 759 to both sides: 10x = -130", "Divide both sides by 10: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 64) + 9 = 2(x + 2) - 893", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 64, \"c\": 9, \"d\": 2, \"e\": 2, \"g\": -893, \"x\": -13}", "seed": "12355965039686703820", "semantic_fingerprint": "sha256:257234136439e0f2bd68aa1846f4de8493cdd483d3b08143b7dfa987b161eb18", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000243", "prompt": "Solve for x: 2x - 847 = 5(x + 30) + 48", "solution_steps": ["Expand: 2x - 847 = 5x + 150 + 48", "Combine constants: 2x - 847 = 5x + 198", "Subtract 5x from both sides: -3x - 847 = 198", "Add 847 to both sides: -3x = 1045", "Divide both sides by -3: x = -1045/3"], "final_answer": "-1045/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x - 847 = 5(x + 30) + 48", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 847, \"c\": 5, \"d\": 30, \"e\": 48}", "seed": "1111913943289433834", "semantic_fingerprint": "sha256:1a6e7a915945b5ffd776ee61b298d9d70477ecba35691a18a1ebb5947e5e5742", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000244", "prompt": "Calculate: (-6 - (-53)) / (5 / (4 + (-20)))", "solution_steps": ["Subtract: -6 - (-53) = 47", "Add: 4 + (-20) = -16", "Divide: 5 / (-16) = -5/16", "Divide: 47 / (-5/16) = -752/5"], "final_answer": "-752/5", "answer_type": "rational", "kind": "expression", "math_text": "(-6 - (-53)) / (5 / (4 + (-20)))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -53, \"c\": 5, \"d\": 4, \"e\": -20}", "seed": "6297162943242692613", "semantic_fingerprint": "sha256:534cb36e26080d3cb6e477cb5e9b1a2aa683d6453f7359da76f71ab37d3e85a6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000245", "prompt": "What is (236 / 76 + (-5)) * 5?", "solution_steps": ["Divide: 236 / 76 = 59/19", "Add: 59/19 + (-5) = -36/19", "Multiply: (-36/19) * 5 = -180/19"], "final_answer": "-180/19", "answer_type": "rational", "kind": "expression", "math_text": "(236 / 76 + (-5)) * 5", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 236, \"b\": 76, \"c\": -5, \"d\": 5}", "seed": "1138524271975137971", "semantic_fingerprint": "sha256:7a34566908d2c316c46fd3920f545261f7363b4f57124420137ebe4b626504d2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000246", "prompt": "Find x: 6(x - 513) + 453 = 5(x - 521)", "solution_steps": ["Expand: 6x - 3078 + 453 = 5(x - 521)", "Expand: 6x - 3078 + 453 = 5x - 2605", "Combine constants: 6x - 2625 = 5x - 2605", "Subtract 5x from both sides: x - 2625 = -2605", "Add 2625 to both sides: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 513) + 453 = 5(x - 521)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 513, \"c\": 5, \"d\": 521, \"f\": 453, \"x\": 20}", "seed": "5858809375812591464", "semantic_fingerprint": "sha256:09c0436b7e4125c493694a4e37dc294e674327c31695c7357305280b1c2a1c80", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000247", "prompt": "Calculate: -3 / (6 * 166 / 43)", "solution_steps": ["Multiply: 6 * 166 = 996", "Divide: 996 / 43 = 996/43", "Divide: -3 / (996/43) = -43/332"], "final_answer": "-43/332", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (6 * 166 / 43)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 6, \"c\": 166, \"d\": 43}", "seed": "6898202039130949565", "semantic_fingerprint": "sha256:e92af47af737e0add6abb8ff232acbd56f9b97b0107249b65411bcd0575f49cd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000248", "prompt": "Solve the equation -7(x + 15) + 29 = 6(x + 42) - 198 for x.", "solution_steps": ["Expand: -7x - 105 + 29 = 6(x + 42) - 198", "Expand: -7x - 105 + 29 = 6x + 252 - 198", "Combine constants: -7x - 76 = 6x + 252 - 198", "Combine constants: -7x - 76 = 6x + 54", "Subtract 6x from both sides: -13x - 76 = 54", "Add 76 to both sides: -13x = 130", "Divide both sides by -13: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 15) + 29 = 6(x + 42) - 198", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 15, \"c\": 29, \"d\": 6, \"e\": 42, \"g\": -198, \"x\": -10}", "seed": "2278136123436312054", "semantic_fingerprint": "sha256:2c71a6e69943fb43b1e06e5ad1bdc3e93bb1bcbba4ec083041c4f4d5890db829", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000249", "prompt": "What value of x satisfies 2(x + 5) - 60 = x - 49?", "solution_steps": ["Expand: 2x + 10 - 60 = x - 49", "Combine constants: 2x - 50 = x - 49", "Subtract x from both sides: x - 50 = -49", "Add 50 to both sides: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 5) - 60 = x - 49", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": 60, \"e\": -49, \"x\": 1}", "seed": "6371569001497277507", "semantic_fingerprint": "sha256:f3d1e5d164f51468a13fbd00c8f4310da5399203adb1588e95a14af03e3cb090", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000250", "prompt": "Solve the equation -12(x - 8) - 392 = 8(x - 82) for x.", "solution_steps": ["Expand: -12x + 96 - 392 = 8(x - 82)", "Expand: -12x + 96 - 392 = 8x - 656", "Combine constants: -12x - 296 = 8x - 656", "Subtract 8x from both sides: -20x - 296 = -656", "Add 296 to both sides: -20x = -360", "Divide both sides by -20: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 8) - 392 = 8(x - 82)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 8, \"c\": 8, \"d\": 82, \"f\": -392, \"x\": 18}", "seed": "15699875965961985983", "semantic_fingerprint": "sha256:19873e5fbebc9a5ba4e54a58a9874131528ff50dd479460e654d4ccc56f059ac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000251", "prompt": "Compute: -3 - (-557) / (-7 * (-3))", "solution_steps": ["Multiply: -7 * (-3) = 21", "Divide: -557 / 21 = -557/21", "Subtract: -3 - (-557/21) = 494/21"], "final_answer": "494/21", "answer_type": "rational", "kind": "expression", "math_text": "-3 - (-557) / (-7 * (-3))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -557, \"c\": -7, \"d\": -3}", "seed": "2105642467556636066", "semantic_fingerprint": "sha256:e45dd9b04c35687abdf717ab137cd5cddeb61fe5d59e86d444b7536dc07bee66", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000252", "prompt": "What is 29 - (39 * 232 + (-743))?", "solution_steps": ["Multiply: 39 * 232 = 9048", "Add: 9048 + (-743) = 8305", "Subtract: 29 - 8305 = -8276"], "final_answer": "-8276", "answer_type": "integer", "kind": "expression", "math_text": "29 - (39 * 232 + (-743))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 39, \"c\": 232, \"d\": -743}", "seed": "1791603466091985076", "semantic_fingerprint": "sha256:1eb45ac00fe8384231d61540acfc7684d59923b9c2e903d9d6876fe712883665", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000253", "prompt": "Calculate: 649 - (-13 * (-843 - 0) - 50)", "solution_steps": ["Subtract: -843 - 0 = -843", "Multiply: -13 * (-843) = 10959", "Subtract: 10959 - 50 = 10909", "Subtract: 649 - 10909 = -10260"], "final_answer": "-10260", "answer_type": "integer", "kind": "expression", "math_text": "649 - (-13 * (-843 - 0) - 50)", "variable": null, "family": "expression_4op", "shape": "(- n (- (* n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 649, \"b\": -13, \"c\": -843, \"d\": 0, \"e\": 50}", "seed": "16268093223970242273", "semantic_fingerprint": "sha256:7bd4131c5d00278e189f89f4d00afd7c4b3cd9c0a1d5f0ce2be51ac6c338aa36", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000254", "prompt": "Evaluate: (65 + 3 - 26 / (-84)) / 9", "solution_steps": ["Add: 65 + 3 = 68", "Divide: 26 / (-84) = -13/42", "Subtract: 68 - (-13/42) = 2869/42", "Divide: (2869/42) / 9 = 2869/378"], "final_answer": "2869/378", "answer_type": "rational", "kind": "expression", "math_text": "(65 + 3 - 26 / (-84)) / 9", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 3, \"c\": 26, \"d\": -84, \"e\": 9}", "seed": "7125232804424476477", "semantic_fingerprint": "sha256:eb1da147c9289337c274c4a37a3c8949f35733afc0d20f661d066f59a9856224", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000255", "prompt": "What value of x satisfies x - 90 = 9(x - 5) + 35?", "solution_steps": ["Expand: x - 90 = 9x - 45 + 35", "Combine constants: x - 90 = 9x - 10", "Subtract 9x from both sides: -8x - 90 = -10", "Add 90 to both sides: -8x = 80", "Divide both sides by -8: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 90 = 9(x - 5) + 35", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": 9, \"c\": 5, \"e\": 35, \"x\": -10}", "seed": "2796455203949819669", "semantic_fingerprint": "sha256:d1ef2d544b61be2db140a6041acebea7e9db9509c250a69e2dfdb8989c0470af", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000256", "prompt": "Calculate: -69 * (73 / 23 / 101)", "solution_steps": ["Divide: 73 / 23 = 73/23", "Divide: (73/23) / 101 = 73/2323", "Multiply: -69 * (73/2323) = -219/101"], "final_answer": "-219/101", "answer_type": "rational", "kind": "expression", "math_text": "-69 * (73 / 23 / 101)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": 73, \"c\": 23, \"d\": 101}", "seed": "4684057235473024570", "semantic_fingerprint": "sha256:16b3c3c8d0ca390055624c6a782882d27404ea34d400559eec9ce4c47703c48d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000257", "prompt": "Calculate: (4 / 34 + 960 + 872) / (-76)", "solution_steps": ["Divide: 4 / 34 = 2/17", "Add: 2/17 + 960 = 16322/17", "Add: 16322/17 + 872 = 31146/17", "Divide: (31146/17) / (-76) = -15573/646"], "final_answer": "-15573/646", "answer_type": "rational", "kind": "expression", "math_text": "(4 / 34 + 960 + 872) / (-76)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 34, \"c\": 960, \"d\": 872, \"e\": -76}", "seed": "11549015034929429287", "semantic_fingerprint": "sha256:8e86dc6b77a5990cb62dfca82c575fd5f22c9d325f24724af0fe40f8d28642ad", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000258", "prompt": "Evaluate: (-27 + (80 - (-67)) / (88 + (-6))) / 86", "solution_steps": ["Subtract: 80 - (-67) = 147", "Add: 88 + (-6) = 82", "Divide: 147 / 82 = 147/82", "Add: -27 + 147/82 = -2067/82", "Divide: (-2067/82) / 86 = -2067/7052"], "final_answer": "-2067/7052", "answer_type": "rational", "kind": "expression", "math_text": "(-27 + (80 - (-67)) / (88 + (-6))) / 86", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (/ (- n n) (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": 80, \"c\": -67, \"d\": 88, \"e\": -6, \"f\": 86}", "seed": "9481541728754086534", "semantic_fingerprint": "sha256:6f81b3f3abdb4846058fca6a8ce60a4618e1a1bfcad92a072fd5976e0c3b2c9a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000259", "prompt": "What is 0 * (-33) / (94 + (-664))?", "solution_steps": ["Multiply: 0 * (-33) = 0", "Add: 94 + (-664) = -570", "Divide: 0 / (-570) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-33) / (94 + (-664))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -33, \"c\": 94, \"d\": -664}", "seed": "10139830492682044892", "semantic_fingerprint": "sha256:fed119831aa9ac4202a1925ea3564237c9cb8e2598ec3cb5e3de7bb142be1457", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000260", "prompt": "Solve the equation -11(x - 946) - 11 = 6(x - 5) for x.", "solution_steps": ["Expand: -11x + 10406 - 11 = 6(x - 5)", "Expand: -11x + 10406 - 11 = 6x - 30", "Combine constants: -11x + 10395 = 6x - 30", "Subtract 6x from both sides: -17x + 10395 = -30", "Subtract 10395 from both sides: -17x = -10425", "Divide both sides by -17: x = 10425/17"], "final_answer": "10425/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 946) - 11 = 6(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 946, \"c\": 11, \"d\": 6, \"e\": 5}", "seed": "1849664121817390526", "semantic_fingerprint": "sha256:6c3579ab9d09230f142c4cff19a67fb735479453a9c34ca23895454be313377e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000261", "prompt": "Compute: 18 / (-32) - 83 - (-83)", "solution_steps": ["Divide: 18 / (-32) = -9/16", "Subtract: -9/16 - 83 = -1337/16", "Subtract: -1337/16 - (-83) = -9/16"], "final_answer": "-9/16", "answer_type": "rational", "kind": "expression", "math_text": "18 / (-32) - 83 - (-83)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": -32, \"c\": 83, \"d\": -83}", "seed": "12634162190401609276", "semantic_fingerprint": "sha256:68a9c3a6955db8ab68f46acd25e0a7c6c025cdfdfedbd5b384a312f762048490", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000262", "prompt": "What is 839 + (-8 / (-6) + (-337)) * (-970)?", "solution_steps": ["Divide: -8 / (-6) = 4/3", "Add: 4/3 + (-337) = -1007/3", "Multiply: (-1007/3) * (-970) = 976790/3", "Add: 839 + 976790/3 = 979307/3"], "final_answer": "979307/3", "answer_type": "rational", "kind": "expression", "math_text": "839 + (-8 / (-6) + (-337)) * (-970)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (+ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 839, \"b\": -8, \"c\": -6, \"d\": -337, \"e\": -970}", "seed": "14855910261542234617", "semantic_fingerprint": "sha256:7dd6a0d531fa92c379b5234722b33752658d99466995f976f8e633c65e00ef36", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000263", "prompt": "Compute: -243 + 20 / (817 - (-1) - 70)", "solution_steps": ["Subtract: 817 - (-1) = 818", "Subtract: 818 - 70 = 748", "Divide: 20 / 748 = 5/187", "Add: -243 + 5/187 = -45436/187"], "final_answer": "-45436/187", "answer_type": "rational", "kind": "expression", "math_text": "-243 + 20 / (817 - (-1) - 70)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (- (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -243, \"b\": 20, \"c\": 817, \"d\": -1, \"e\": 70}", "seed": "15843446029771168245", "semantic_fingerprint": "sha256:b192a94c62d455e1b50970d0f0c06b6734650143f0a714c06c745770dbb029bd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000264", "prompt": "Compute: 51 / (-2 - 7) + (-42 * 792 + (-123))", "solution_steps": ["Subtract: -2 - 7 = -9", "Divide: 51 / (-9) = -17/3", "Multiply: -42 * 792 = -33264", "Add: -33264 + (-123) = -33387", "Add: -17/3 + (-33387) = -100178/3"], "final_answer": "-100178/3", "answer_type": "rational", "kind": "expression", "math_text": "51 / (-2 - 7) + (-42 * 792 + (-123))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (- n n)) (+ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -2, \"c\": 7, \"d\": -42, \"e\": 792, \"f\": -123}", "seed": "8114431661918946314", "semantic_fingerprint": "sha256:6f2977e4d075020da64ae9b96e84f50f26f723b541418c20575706e243b18b9b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000265", "prompt": "Calculate: (4 + 452) / (1 / (-86))", "solution_steps": ["Add: 4 + 452 = 456", "Divide: 1 / (-86) = -1/86", "Divide: 456 / (-1/86) = -39216"], "final_answer": "-39216", "answer_type": "integer", "kind": "expression", "math_text": "(4 + 452) / (1 / (-86))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 452, \"c\": 1, \"d\": -86}", "seed": "14750285425936238363", "semantic_fingerprint": "sha256:e01320e80cee73ca2f4d50444d5dbfe86f002a8b5aa2ec19975621d6b9883730", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000266", "prompt": "Calculate: -9 - (-2) - 9 * 79 - (-142)", "solution_steps": ["Subtract: -9 - (-2) = -7", "Multiply: 9 * 79 = 711", "Subtract: -7 - 711 = -718", "Subtract: -718 - (-142) = -576"], "final_answer": "-576", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (-2) - 9 * 79 - (-142)", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -2, \"c\": 9, \"d\": 79, \"e\": -142}", "seed": "351137115402529979", "semantic_fingerprint": "sha256:22940742abb7a4b81275ecee555e406fb553f5530ef535c82de0c52b67ff7143", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000267", "prompt": "Calculate: -1 / (96 * (-5) / 5)", "solution_steps": ["Multiply: 96 * (-5) = -480", "Divide: -480 / 5 = -96", "Divide: -1 / (-96) = 1/96"], "final_answer": "1/96", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (96 * (-5) / 5)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 96, \"c\": -5, \"d\": 5}", "seed": "14924598251156520234", "semantic_fingerprint": "sha256:94e35ce9b6961f5bd47c2bee7a32cb55d2412e1ce5aebf598b48432be4f536fb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000268", "prompt": "What value of x satisfies -6(x + 9) + 64 = 3(x + 4) - 101?", "solution_steps": ["Expand: -6x - 54 + 64 = 3(x + 4) - 101", "Expand: -6x - 54 + 64 = 3x + 12 - 101", "Combine constants: -6x + 10 = 3x + 12 - 101", "Combine constants: -6x + 10 = 3x - 89", "Subtract 3x from both sides: -9x + 10 = -89", "Subtract 10 from both sides: -9x = -99", "Divide both sides by -9: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 9) + 64 = 3(x + 4) - 101", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 9, \"c\": 64, \"d\": 3, \"e\": 4, \"g\": -101, \"x\": 11}", "seed": "17199906405554067545", "semantic_fingerprint": "sha256:a1c8b35fc5bd2cc74dc405159effde7d1d3a4374db443a8fd0bcaf6a41efe44d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000269", "prompt": "Compute: -17 / (-52 - 1 - (-30))", "solution_steps": ["Subtract: -52 - 1 = -53", "Subtract: -53 - (-30) = -23", "Divide: -17 / (-23) = 17/23"], "final_answer": "17/23", "answer_type": "rational", "kind": "expression", "math_text": "-17 / (-52 - 1 - (-30))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": -52, \"c\": 1, \"d\": -30}", "seed": "8906427884445762037", "semantic_fingerprint": "sha256:dc441cde9769a95257b9ee13ced1e9366fd4852efcadd724c349130d5669588b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000270", "prompt": "Compute: -39 + 44 - (-7) + (-72)", "solution_steps": ["Add: -39 + 44 = 5", "Subtract: 5 - (-7) = 12", "Add: 12 + (-72) = -60"], "final_answer": "-60", "answer_type": "integer", "kind": "expression", "math_text": "-39 + 44 - (-7) + (-72)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": 44, \"c\": -7, \"d\": -72}", "seed": "795820459690346838", "semantic_fingerprint": "sha256:6eab776370f2523901e921a5492cc9ea29935348bb28cb20b246f399819302a7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000271", "prompt": "Evaluate: (24 - (-37 + (-3))) / (62 - 42)", "solution_steps": ["Add: -37 + (-3) = -40", "Subtract: 24 - (-40) = 64", "Subtract: 62 - 42 = 20", "Divide: 64 / 20 = 16/5"], "final_answer": "16/5", "answer_type": "rational", "kind": "expression", "math_text": "(24 - (-37 + (-3))) / (62 - 42)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -37, \"c\": -3, \"d\": 62, \"e\": 42}", "seed": "10714770670132959844", "semantic_fingerprint": "sha256:16de6a162be14ef9c01747a47eca7062c89e7c685410113b0aff33c66934d3e3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000272", "prompt": "Evaluate: 0 - (-64) * (-564 / (-82 + 293))", "solution_steps": ["Add: -82 + 293 = 211", "Divide: -564 / 211 = -564/211", "Multiply: -64 * (-564/211) = 36096/211", "Subtract: 0 - 36096/211 = -36096/211"], "final_answer": "-36096/211", "answer_type": "rational", "kind": "expression", "math_text": "0 - (-64) * (-564 / (-82 + 293))", "variable": null, "family": "expression_4op", "shape": "(- n (* n (/ n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -64, \"c\": -564, \"d\": -82, \"e\": 293}", "seed": "8499425653432741609", "semantic_fingerprint": "sha256:a7664fb18f45f5bc4eb0db92508d260bfd559c3313285ff1dd8eef0d0fe1062e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000273", "prompt": "Solve the equation -8(x - 9) - 30 = 9(x - 28) - 12 for x.", "solution_steps": ["Expand: -8x + 72 - 30 = 9(x - 28) - 12", "Expand: -8x + 72 - 30 = 9x - 252 - 12", "Combine constants: -8x + 42 = 9x - 252 - 12", "Combine constants: -8x + 42 = 9x - 264", "Subtract 9x from both sides: -17x + 42 = -264", "Subtract 42 from both sides: -17x = -306", "Divide both sides by -17: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 9) - 30 = 9(x - 28) - 12", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 9, \"c\": 30, \"d\": 9, \"e\": 28, \"g\": -12, \"x\": 18}", "seed": "16455608932387895323", "semantic_fingerprint": "sha256:3a47de1dcd9f8abda6862298b5aaa98bb095eb71f7c646ef5a4f8de624ebe403", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000274", "prompt": "Compute: 422 / (605 / ((-50 - 82) * 52))", "solution_steps": ["Subtract: -50 - 82 = -132", "Multiply: -132 * 52 = -6864", "Divide: 605 / (-6864) = -55/624", "Divide: 422 / (-55/624) = -263328/55"], "final_answer": "-263328/55", "answer_type": "rational", "kind": "expression", "math_text": "422 / (605 / ((-50 - 82) * 52))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ n (* (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 422, \"b\": 605, \"c\": -50, \"d\": 82, \"e\": 52}", "seed": "8962530119733871867", "semantic_fingerprint": "sha256:9cb13448aded97b7739f5a14dd79add7983c859947d81c1c0244f67769897ef0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000275", "prompt": "Find x: 2(x - 2) - 65 = 3(x - 27)", "solution_steps": ["Expand: 2x - 4 - 65 = 3(x - 27)", "Expand: 2x - 4 - 65 = 3x - 81", "Combine constants: 2x - 69 = 3x - 81", "Subtract 3x from both sides: -x - 69 = -81", "Add 69 to both sides: -x = -12", "Divide both sides by -1: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 2) - 65 = 3(x - 27)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 3, \"d\": 27, \"f\": -65, \"x\": 12}", "seed": "8314229250801993200", "semantic_fingerprint": "sha256:0d7f0c6c360f289102ddf7034ac4bdf3228f9f71b2761000a04b6e70628f22b0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000276", "prompt": "Calculate: (-552 - 845 - (-2)) * (-8 + 255)", "solution_steps": ["Subtract: -552 - 845 = -1397", "Subtract: -1397 - (-2) = -1395", "Add: -8 + 255 = 247", "Multiply: -1395 * 247 = -344565"], "final_answer": "-344565", "answer_type": "integer", "kind": "expression", "math_text": "(-552 - 845 - (-2)) * (-8 + 255)", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -552, \"b\": 845, \"c\": -2, \"d\": -8, \"e\": 255}", "seed": "14674060612579167540", "semantic_fingerprint": "sha256:6f5fb2b21d66d16b405549e306e67adeaeee329e26933436894c2e934b381547", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000277", "prompt": "Solve the equation 7(x - 6) + 484 = 11x + 386 for x.", "solution_steps": ["Expand: 7x - 42 + 484 = 11x + 386", "Combine constants: 7x + 442 = 11x + 386", "Subtract 11x from both sides: -4x + 442 = 386", "Subtract 442 from both sides: -4x = -56", "Divide both sides by -4: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 6) + 484 = 11x + 386", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 484, \"d\": 11, \"f\": 386, \"x\": 14}", "seed": "4313457949737688032", "semantic_fingerprint": "sha256:0049d9704036c1baf045a4f85c0244f70a61f0544c059163f17c692852084113", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000278", "prompt": "Compute: 940 - (7 - (-35) * (-51)) / (-37) + 3", "solution_steps": ["Multiply: -35 * (-51) = 1785", "Subtract: 7 - 1785 = -1778", "Divide: -1778 / (-37) = 1778/37", "Subtract: 940 - 1778/37 = 33002/37", "Add: 33002/37 + 3 = 33113/37"], "final_answer": "33113/37", "answer_type": "rational", "kind": "expression", "math_text": "940 - (7 - (-35) * (-51)) / (-37) + 3", "variable": null, "family": "expression_5op", "shape": "(+ (- n (/ (- n (* n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 940, \"b\": 7, \"c\": -35, \"d\": -51, \"e\": -37, \"f\": 3}", "seed": "4190428496765291672", "semantic_fingerprint": "sha256:79d15862c381381aeec7d7e89cef65a5433aa1a61572f2f82cc4cf2c7d11d929", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000279", "prompt": "Evaluate: -431 / 12 - 62 - (-93)", "solution_steps": ["Divide: -431 / 12 = -431/12", "Subtract: -431/12 - 62 = -1175/12", "Subtract: -1175/12 - (-93) = -59/12"], "final_answer": "-59/12", "answer_type": "rational", "kind": "expression", "math_text": "-431 / 12 - 62 - (-93)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -431, \"b\": 12, \"c\": 62, \"d\": -93}", "seed": "1326597082049798293", "semantic_fingerprint": "sha256:2ef8af35f9df7e0b39c096f54f6f60d13800b2b106f0c3d39c4d7e3c1e74b5bd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000280", "prompt": "Evaluate: 6 + (2 + (-11 - (-1))) - 64", "solution_steps": ["Subtract: -11 - (-1) = -10", "Add: 2 + (-10) = -8", "Add: 6 + (-8) = -2", "Subtract: -2 - 64 = -66"], "final_answer": "-66", "answer_type": "integer", "kind": "expression", "math_text": "6 + (2 + (-11 - (-1))) - 64", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": -11, \"d\": -1, \"e\": 64}", "seed": "2527209239775061132", "semantic_fingerprint": "sha256:8e4da4027249d92032125f0f82db4dc068bc486b84ff6569b6a9445ffc77c19d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000281", "prompt": "Solve for x: 6(x - 8) = 7x - 57", "solution_steps": ["Expand: 6x - 48 = 7x - 57", "Subtract 7x from both sides: -x - 48 = -57", "Add 48 to both sides: -x = -9", "Divide both sides by -1: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 8) = 7x - 57", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 7, \"e\": -57, \"x\": 9}", "seed": "18072768368447889937", "semantic_fingerprint": "sha256:eff53546001a67da7a735e88c3d72dd5ed983b982f2e221547b98281a5b2932a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000282", "prompt": "Find x: 7x - 3 = -9(x + 93) + 834", "solution_steps": ["Expand: 7x - 3 = -9x - 837 + 834", "Combine constants: 7x - 3 = -9x - 3", "Add 9x to both sides: 16x - 3 = -3", "Add 3 to both sides: 16x = 0", "Divide both sides by 16: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 3 = -9(x + 93) + 834", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"c\": -9, \"d\": 93, \"f\": 834, \"x\": 0}", "seed": "14316708802725336127", "semantic_fingerprint": "sha256:14c96e207b366265bbde35b8b5d761ad06757ee9b6428f26c04e53f775bc14a6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000283", "prompt": "Calculate: (-44 - (-53)) * (0 / (-177) / 50)", "solution_steps": ["Subtract: -44 - (-53) = 9", "Divide: 0 / (-177) = 0", "Divide: 0 / 50 = 0", "Multiply: 9 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-44 - (-53)) * (0 / (-177) / 50)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -53, \"c\": 0, \"d\": -177, \"e\": 50}", "seed": "14296138521562386798", "semantic_fingerprint": "sha256:8968f8701f4a3bcb3340b21e8ae84d802d522a3abed02280f43b3a470e59b786", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000284", "prompt": "Compute: (-835 + (-7)) / (-92 / (-22))", "solution_steps": ["Add: -835 + (-7) = -842", "Divide: -92 / (-22) = 46/11", "Divide: -842 / (46/11) = -4631/23"], "final_answer": "-4631/23", "answer_type": "rational", "kind": "expression", "math_text": "(-835 + (-7)) / (-92 / (-22))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -835, \"b\": -7, \"c\": -92, \"d\": -22}", "seed": "16163402866066761122", "semantic_fingerprint": "sha256:cd387bac86267d7172b10eec70ca3b74d6ce5dd27966944d5254cea2b0cac049", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000285", "prompt": "Compute: -188 / (-1 * (-6) / 88)", "solution_steps": ["Multiply: -1 * (-6) = 6", "Divide: 6 / 88 = 3/44", "Divide: -188 / (3/44) = -8272/3"], "final_answer": "-8272/3", "answer_type": "rational", "kind": "expression", "math_text": "-188 / (-1 * (-6) / 88)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -188, \"b\": -1, \"c\": -6, \"d\": 88}", "seed": "731264209026737931", "semantic_fingerprint": "sha256:303a1f8fafd998d1d47e87443aa06154162f5e1e02da2678bb233022427399c2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000286", "prompt": "Calculate: 51 - (65 - (-79 - 6))", "solution_steps": ["Subtract: -79 - 6 = -85", "Subtract: 65 - (-85) = 150", "Subtract: 51 - 150 = -99"], "final_answer": "-99", "answer_type": "integer", "kind": "expression", "math_text": "51 - (65 - (-79 - 6))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 65, \"c\": -79, \"d\": 6}", "seed": "17708224479340916523", "semantic_fingerprint": "sha256:b2d2bb9ec5188b05f35f7e6a15b212dd7420816a328b7f27eecc4522ed88fadd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000287", "prompt": "Calculate: -71 + (-876) - (1 + 3)", "solution_steps": ["Add: -71 + (-876) = -947", "Add: 1 + 3 = 4", "Subtract: -947 - 4 = -951"], "final_answer": "-951", "answer_type": "integer", "kind": "expression", "math_text": "-71 + (-876) - (1 + 3)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": -876, \"c\": 1, \"d\": 3}", "seed": "16287237152548669182", "semantic_fingerprint": "sha256:3afee717ad13128ffb5e734c074597bb70aa9df73d31d35080afa889e97413c1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000288", "prompt": "Solve for x: 7(x - 4) + 24 = -11(x + 90) - 4", "solution_steps": ["Expand: 7x - 28 + 24 = -11(x + 90) - 4", "Expand: 7x - 28 + 24 = -11x - 990 - 4", "Combine constants: 7x - 4 = -11x - 990 - 4", "Combine constants: 7x - 4 = -11x - 994", "Add 11x to both sides: 18x - 4 = -994", "Add 4 to both sides: 18x = -990", "Divide both sides by 18: x = -55"], "final_answer": "-55", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 4) + 24 = -11(x + 90) - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 24, \"d\": -11, \"e\": 90, \"f\": 4}", "seed": "15220112869623363650", "semantic_fingerprint": "sha256:5d6d46d2a131d61a63ed33a842b0df0e432c8ad7deb5a7d448d17068ea6b4ea0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000289", "prompt": "What is -596 / (9 - 8 - 94)?", "solution_steps": ["Subtract: 9 - 8 = 1", "Subtract: 1 - 94 = -93", "Divide: -596 / (-93) = 596/93"], "final_answer": "596/93", "answer_type": "rational", "kind": "expression", "math_text": "-596 / (9 - 8 - 94)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -596, \"b\": 9, \"c\": 8, \"d\": 94}", "seed": "12084567215814945950", "semantic_fingerprint": "sha256:b18fa7374da6c9d7c87c942ce26a742ac228ad7fa4a1312401a6e5fd7c4a3401", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000290", "prompt": "Calculate: -8 + (-82 / (-47) + (-4 + (-118)))", "solution_steps": ["Divide: -82 / (-47) = 82/47", "Add: -4 + (-118) = -122", "Add: 82/47 + (-122) = -5652/47", "Add: -8 + (-5652/47) = -6028/47"], "final_answer": "-6028/47", "answer_type": "rational", "kind": "expression", "math_text": "-8 + (-82 / (-47) + (-4 + (-118)))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -82, \"c\": -47, \"d\": -4, \"e\": -118}", "seed": "11569338989190474842", "semantic_fingerprint": "sha256:d4042569d7ca16a93811d2ccae9278ecf84352a926a8ee6f7707ecadcf15a726", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000291", "prompt": "What value of x satisfies -9(x + 69) + 43 = -5(x + 47) - 279?", "solution_steps": ["Expand: -9x - 621 + 43 = -5(x + 47) - 279", "Expand: -9x - 621 + 43 = -5x - 235 - 279", "Combine constants: -9x - 578 = -5x - 235 - 279", "Combine constants: -9x - 578 = -5x - 514", "Add 5x to both sides: -4x - 578 = -514", "Add 578 to both sides: -4x = 64", "Divide both sides by -4: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 69) + 43 = -5(x + 47) - 279", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 69, \"c\": 43, \"d\": -5, \"e\": 47, \"g\": -279, \"x\": -16}", "seed": "4682089822835522876", "semantic_fingerprint": "sha256:ad19ce9d59f50ad606354da1fd4d557efde307d5a0dfee0413568f9765eafd04", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000292", "prompt": "What is 1 * 954 / (-3) / (24 / (-7) - (-89))?", "solution_steps": ["Multiply: 1 * 954 = 954", "Divide: 954 / (-3) = -318", "Divide: 24 / (-7) = -24/7", "Subtract: -24/7 - (-89) = 599/7", "Divide: -318 / (599/7) = -2226/599"], "final_answer": "-2226/599", "answer_type": "rational", "kind": "expression", "math_text": "1 * 954 / (-3) / (24 / (-7) - (-89))", "variable": null, "family": "expression_5op", "shape": "(/ (/ (* n n) n) (- (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 954, \"c\": -3, \"d\": 24, \"e\": -7, \"f\": -89}", "seed": "1262109978896033237", "semantic_fingerprint": "sha256:5d146613e53cd124ed4e86bc4e4d8a2d4bc101b42d91a29a89c2687cc91df6c3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000293", "prompt": "Solve the equation -12(x + 55) - 1 = x - 492 for x.", "solution_steps": ["Expand: -12x - 660 - 1 = x - 492", "Combine constants: -12x - 661 = x - 492", "Subtract x from both sides: -13x - 661 = -492", "Add 661 to both sides: -13x = 169", "Divide both sides by -13: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 55) - 1 = x - 492", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 55, \"c\": 1, \"e\": -492, \"x\": -13}", "seed": "6369059684233825395", "semantic_fingerprint": "sha256:33b7d37dd3c0b44d279fce29b6425813294a75b107f5a4bd5cd5ebd70cd60e29", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000294", "prompt": "What value of x satisfies 2(x - 59) = 3x - 103?", "solution_steps": ["Expand: 2x - 118 = 3x - 103", "Subtract 3x from both sides: -x - 118 = -103", "Add 118 to both sides: -x = 15", "Divide both sides by -1: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 59) = 3x - 103", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 59, \"c\": 3, \"e\": -103, \"x\": -15}", "seed": "12940718366350998819", "semantic_fingerprint": "sha256:13b129f5e6b864af4939c47709f2b9e2e550a170bf75abd9a00bc3045601a51e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000295", "prompt": "What is -5 * (130 - (-66 - 322 / 68))?", "solution_steps": ["Divide: 322 / 68 = 161/34", "Subtract: -66 - 161/34 = -2405/34", "Subtract: 130 - (-2405/34) = 6825/34", "Multiply: -5 * (6825/34) = -34125/34"], "final_answer": "-34125/34", "answer_type": "rational", "kind": "expression", "math_text": "-5 * (130 - (-66 - 322 / 68))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (- n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 130, \"c\": -66, \"d\": 322, \"e\": 68}", "seed": "3808254491348566164", "semantic_fingerprint": "sha256:220aa01f66e49452d6541b1c80fdb679f6d28698e56d52401773a8392768145b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000296", "prompt": "Compute: 4 - (-682) * (-54) - (-82)", "solution_steps": ["Multiply: -682 * (-54) = 36828", "Subtract: 4 - 36828 = -36824", "Subtract: -36824 - (-82) = -36742"], "final_answer": "-36742", "answer_type": "integer", "kind": "expression", "math_text": "4 - (-682) * (-54) - (-82)", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -682, \"c\": -54, \"d\": -82}", "seed": "1883655469369593772", "semantic_fingerprint": "sha256:99c0d4f6e74d419547efeaf5c77fed65e2bea70554ba1d249afcd165d1f62152", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000297", "prompt": "What is (86 + 71) / (1 - (-9 - (-76)))?", "solution_steps": ["Add: 86 + 71 = 157", "Subtract: -9 - (-76) = 67", "Subtract: 1 - 67 = -66", "Divide: 157 / (-66) = -157/66"], "final_answer": "-157/66", "answer_type": "rational", "kind": "expression", "math_text": "(86 + 71) / (1 - (-9 - (-76)))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 71, \"c\": 1, \"d\": -9, \"e\": -76}", "seed": "4068669921503945180", "semantic_fingerprint": "sha256:97ec4b2445c0f9da2e15871d1eb53ae794d2175cd3606418827001b35d0e634e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000298", "prompt": "Solve for x: 8(x - 66) + 97 = 3x + 4", "solution_steps": ["Expand: 8x - 528 + 97 = 3x + 4", "Combine constants: 8x - 431 = 3x + 4", "Subtract 3x from both sides: 5x - 431 = 4", "Add 431 to both sides: 5x = 435", "Divide both sides by 5: x = 87"], "final_answer": "87", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 66) + 97 = 3x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 66, \"c\": 97, \"d\": 3, \"e\": 4}", "seed": "10474779119994320344", "semantic_fingerprint": "sha256:8dae8c5ca082656d2a483922047b12c319ddd3517ebe4a4d648245b73a6b30cd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000299", "prompt": "What is -76 / (-86 - 82) * (3 - (-27)) + 65?", "solution_steps": ["Subtract: -86 - 82 = -168", "Divide: -76 / (-168) = 19/42", "Subtract: 3 - (-27) = 30", "Multiply: (19/42) * 30 = 95/7", "Add: 95/7 + 65 = 550/7"], "final_answer": "550/7", "answer_type": "rational", "kind": "expression", "math_text": "-76 / (-86 - 82) * (3 - (-27)) + 65", "variable": null, "family": "expression_5op", "shape": "(+ (* (/ n (- n n)) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": -86, \"c\": 82, \"d\": 3, \"e\": -27, \"f\": 65}", "seed": "13031865497422228786", "semantic_fingerprint": "sha256:612fcecf345a4f30eea10e3ead273ec0baebf3ae8bf3b7e53b497864fc4930a5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000300", "prompt": "Calculate: (-592 + 3 * 37) / (-91 - (-175)) * (-79)", "solution_steps": ["Multiply: 3 * 37 = 111", "Add: -592 + 111 = -481", "Subtract: -91 - (-175) = 84", "Divide: -481 / 84 = -481/84", "Multiply: (-481/84) * (-79) = 37999/84"], "final_answer": "37999/84", "answer_type": "rational", "kind": "expression", "math_text": "(-592 + 3 * 37) / (-91 - (-175)) * (-79)", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ n (* n n)) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -592, \"b\": 3, \"c\": 37, \"d\": -91, \"e\": -175, \"f\": -79}", "seed": "10015339098046186127", "semantic_fingerprint": "sha256:740b6eb0b265ae3c05125b64ff507e19ca68082738bdcf58cb5782ce7baf1aee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000301", "prompt": "What is (5 - (-24)) / (-8 - (-73) * (-99))?", "solution_steps": ["Subtract: 5 - (-24) = 29", "Multiply: -73 * (-99) = 7227", "Subtract: -8 - 7227 = -7235", "Divide: 29 / (-7235) = -29/7235"], "final_answer": "-29/7235", "answer_type": "rational", "kind": "expression", "math_text": "(5 - (-24)) / (-8 - (-73) * (-99))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -24, \"c\": -8, \"d\": -73, \"e\": -99}", "seed": "8280106365719849732", "semantic_fingerprint": "sha256:ebb2890f09a2ecc2f3ba23d38f9336f453a2f3e4fd6a2c76a22487ff388bab5b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000302", "prompt": "Find x: 10(x - 29) = 9x - 280", "solution_steps": ["Expand: 10x - 290 = 9x - 280", "Subtract 9x from both sides: x - 290 = -280", "Add 290 to both sides: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 29) = 9x - 280", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 29, \"c\": 9, \"e\": -280, \"x\": 10}", "seed": "16852942499426625690", "semantic_fingerprint": "sha256:e1f9dacbe2c4dd7cedd8f60bd95e545c7ec36bff387f992cee38e2dea2dcc3d0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000303", "prompt": "Evaluate: -21 * (-7) - (-59 * 9 + 26) + 22", "solution_steps": ["Multiply: -21 * (-7) = 147", "Multiply: -59 * 9 = -531", "Add: -531 + 26 = -505", "Subtract: 147 - (-505) = 652", "Add: 652 + 22 = 674"], "final_answer": "674", "answer_type": "integer", "kind": "expression", "math_text": "-21 * (-7) - (-59 * 9 + 26) + 22", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n n) (+ (* n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": -7, \"c\": -59, \"d\": 9, \"e\": 26, \"f\": 22}", "seed": "7692907212344001787", "semantic_fingerprint": "sha256:f7c9f8f56b63b6a663b056b7ff520f0514abdaade62deca1594f1a6392c28402", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000304", "prompt": "Compute: (-496 - (-185) / (-2)) / (7 / (-57))", "solution_steps": ["Divide: -185 / (-2) = 185/2", "Subtract: -496 - 185/2 = -1177/2", "Divide: 7 / (-57) = -7/57", "Divide: (-1177/2) / (-7/57) = 67089/14"], "final_answer": "67089/14", "answer_type": "rational", "kind": "expression", "math_text": "(-496 - (-185) / (-2)) / (7 / (-57))", "variable": null, "family": "expression_4op", "shape": "(/ (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -496, \"b\": -185, \"c\": -2, \"d\": 7, \"e\": -57}", "seed": "4558473654244653108", "semantic_fingerprint": "sha256:f242919bdd8795fbc3f670f19b30c288e0f869dea73672feae40f55cddeebeb5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000305", "prompt": "Evaluate: -448 / (-5) / (21 * (-8)) - 84", "solution_steps": ["Divide: -448 / (-5) = 448/5", "Multiply: 21 * (-8) = -168", "Divide: (448/5) / (-168) = -8/15", "Subtract: -8/15 - 84 = -1268/15"], "final_answer": "-1268/15", "answer_type": "rational", "kind": "expression", "math_text": "-448 / (-5) / (21 * (-8)) - 84", "variable": null, "family": "expression_4op", "shape": "(- (/ (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -448, \"b\": -5, \"c\": 21, \"d\": -8, \"e\": 84}", "seed": "8916669194988893588", "semantic_fingerprint": "sha256:f6f418dd45abf561717627808f620180ec001d762873379bb6fd5a42fa409e7b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000306", "prompt": "Calculate: -8 - (50 + (-562 + (-7) / (-97))) * 3", "solution_steps": ["Divide: -7 / (-97) = 7/97", "Add: -562 + 7/97 = -54507/97", "Add: 50 + (-54507/97) = -49657/97", "Multiply: (-49657/97) * 3 = -148971/97", "Subtract: -8 - (-148971/97) = 148195/97"], "final_answer": "148195/97", "answer_type": "rational", "kind": "expression", "math_text": "-8 - (50 + (-562 + (-7) / (-97))) * 3", "variable": null, "family": "expression_5op", "shape": "(- n (* (+ n (+ n (/ n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 50, \"c\": -562, \"d\": -7, \"e\": -97, \"f\": 3}", "seed": "13686969196799719703", "semantic_fingerprint": "sha256:9e49c08a9b4c7a83c374bfe72799b3fe3af6f7c3e335d0f28223694ad8b388cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000307", "prompt": "Find x: 3(x + 9) - 59 = x - 52", "solution_steps": ["Expand: 3x + 27 - 59 = x - 52", "Combine constants: 3x - 32 = x - 52", "Subtract x from both sides: 2x - 32 = -52", "Add 32 to both sides: 2x = -20", "Divide both sides by 2: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 9) - 59 = x - 52", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 59, \"d\": 52}", "seed": "15467807137654677911", "semantic_fingerprint": "sha256:7571757916f99bd4dcf811a42398db5be17bf0be6ca20c8409ba2689de74e109", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000308", "prompt": "Evaluate: 5 + 86 - (177 + 448)", "solution_steps": ["Add: 5 + 86 = 91", "Add: 177 + 448 = 625", "Subtract: 91 - 625 = -534"], "final_answer": "-534", "answer_type": "integer", "kind": "expression", "math_text": "5 + 86 - (177 + 448)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 86, \"c\": 177, \"d\": 448}", "seed": "16326225670612150277", "semantic_fingerprint": "sha256:23586e8b472912ccb4d1dc18753680bde4a3866a56afb4cb52407f6393b66925", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000309", "prompt": "What is (835 - 9) / (72 / (-370 + (-23)))?", "solution_steps": ["Subtract: 835 - 9 = 826", "Add: -370 + (-23) = -393", "Divide: 72 / (-393) = -24/131", "Divide: 826 / (-24/131) = -54103/12"], "final_answer": "-54103/12", "answer_type": "rational", "kind": "expression", "math_text": "(835 - 9) / (72 / (-370 + (-23)))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 835, \"b\": 9, \"c\": 72, \"d\": -370, \"e\": -23}", "seed": "16640298100031972981", "semantic_fingerprint": "sha256:9c3b4ce33d36958b24d48a11524d3ef53d4d92f4bdba97ac57922a7394413867", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000310", "prompt": "What is -339 + 0 - (-99) + (-92)?", "solution_steps": ["Add: -339 + 0 = -339", "Subtract: -339 - (-99) = -240", "Add: -240 + (-92) = -332"], "final_answer": "-332", "answer_type": "integer", "kind": "expression", "math_text": "-339 + 0 - (-99) + (-92)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -339, \"b\": 0, \"c\": -99, \"d\": -92}", "seed": "10592459072162581914", "semantic_fingerprint": "sha256:296334590c9d30de21c394e8c2b591d111f2e00525fb034a8f94177f21d39942", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000311", "prompt": "Compute: -177 * (-64 - 84) * (-1) * (-69 / (-46))", "solution_steps": ["Subtract: -64 - 84 = -148", "Multiply: -177 * (-148) = 26196", "Multiply: 26196 * (-1) = -26196", "Divide: -69 / (-46) = 3/2", "Multiply: -26196 * (3/2) = -39294"], "final_answer": "-39294", "answer_type": "integer", "kind": "expression", "math_text": "-177 * (-64 - 84) * (-1) * (-69 / (-46))", "variable": null, "family": "expression_5op", "shape": "(* (* (* n (- n n)) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -177, \"b\": -64, \"c\": 84, \"d\": -1, \"e\": -69, \"f\": -46}", "seed": "12872524661234937269", "semantic_fingerprint": "sha256:533a976c93c118614aacb314701d0ca8d919d3a96182c53d8f0ea4d0223e29e0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000312", "prompt": "Calculate: (302 * 34 + (15 + (-4))) / (-377)", "solution_steps": ["Multiply: 302 * 34 = 10268", "Add: 15 + (-4) = 11", "Add: 10268 + 11 = 10279", "Divide: 10279 / (-377) = -10279/377"], "final_answer": "-10279/377", "answer_type": "rational", "kind": "expression", "math_text": "(302 * 34 + (15 + (-4))) / (-377)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 302, \"b\": 34, \"c\": 15, \"d\": -4, \"e\": -377}", "seed": "16746931479990220919", "semantic_fingerprint": "sha256:f221f96059352105a373e710a8d7868daa66ff1606dbb8221158c26d5e8f9263", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000313", "prompt": "Evaluate: 22 * (614 * (-3)) - (-78)", "solution_steps": ["Multiply: 614 * (-3) = -1842", "Multiply: 22 * (-1842) = -40524", "Subtract: -40524 - (-78) = -40446"], "final_answer": "-40446", "answer_type": "integer", "kind": "expression", "math_text": "22 * (614 * (-3)) - (-78)", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": 614, \"c\": -3, \"d\": -78}", "seed": "14295211475669564776", "semantic_fingerprint": "sha256:2f09a4fc0a50d94dc6704960ce46365dc3eba0a3ac6815d127b7fea13a17d4c6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000314", "prompt": "What value of x satisfies 7(x - 79) - 66 = -5(x - 1) - 552?", "solution_steps": ["Expand: 7x - 553 - 66 = -5(x - 1) - 552", "Expand: 7x - 553 - 66 = -5x + 5 - 552", "Combine constants: 7x - 619 = -5x + 5 - 552", "Combine constants: 7x - 619 = -5x - 547", "Add 5x to both sides: 12x - 619 = -547", "Add 619 to both sides: 12x = 72", "Divide both sides by 12: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 79) - 66 = -5(x - 1) - 552", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 79, \"c\": 66, \"d\": -5, \"e\": 1, \"g\": -552, \"x\": 6}", "seed": "5818569737159396890", "semantic_fingerprint": "sha256:664a3be7efb9b5c332355724a6d16200c7bc865ddb1157f14c8d1cf29ae50b63", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000315", "prompt": "Calculate: 86 / 227 * 28 + (-7 + 903)", "solution_steps": ["Divide: 86 / 227 = 86/227", "Multiply: (86/227) * 28 = 2408/227", "Add: -7 + 903 = 896", "Add: 2408/227 + 896 = 205800/227"], "final_answer": "205800/227", "answer_type": "rational", "kind": "expression", "math_text": "86 / 227 * 28 + (-7 + 903)", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 227, \"c\": 28, \"d\": -7, \"e\": 903}", "seed": "5351007288473436702", "semantic_fingerprint": "sha256:a28cf32e3a7a65e45ead54ce0eaf866835f6b575d439a80be0b3b3604ed1a701", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000316", "prompt": "Evaluate: (75 - 8) * (-7 / (-59))", "solution_steps": ["Subtract: 75 - 8 = 67", "Divide: -7 / (-59) = 7/59", "Multiply: 67 * (7/59) = 469/59"], "final_answer": "469/59", "answer_type": "rational", "kind": "expression", "math_text": "(75 - 8) * (-7 / (-59))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 8, \"c\": -7, \"d\": -59}", "seed": "14891583850685036100", "semantic_fingerprint": "sha256:ba98f222d7dfa2995dfda3767f65315a154235f98a08002b487d2b26ef55e24c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000317", "prompt": "Solve for x: -10(x + 2) - 777 = x - 984", "solution_steps": ["Expand: -10x - 20 - 777 = x - 984", "Combine constants: -10x - 797 = x - 984", "Subtract x from both sides: -11x - 797 = -984", "Add 797 to both sides: -11x = -187", "Divide both sides by -11: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 2) - 777 = x - 984", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 2, \"c\": 777, \"e\": -984, \"x\": 17}", "seed": "17767428995912021090", "semantic_fingerprint": "sha256:09b744b285e4f05346e1d0a8875f43e9568416e4ac5d9a8132b173e504b93326", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000318", "prompt": "What is -27 + (616 - 4) + 13 * 34?", "solution_steps": ["Subtract: 616 - 4 = 612", "Add: -27 + 612 = 585", "Multiply: 13 * 34 = 442", "Add: 585 + 442 = 1027"], "final_answer": "1027", "answer_type": "integer", "kind": "expression", "math_text": "-27 + (616 - 4) + 13 * 34", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": 616, \"c\": 4, \"d\": 13, \"e\": 34}", "seed": "11103151832897109812", "semantic_fingerprint": "sha256:b5945e8d31a451fae670d1a752c419c4890d7e77a90e9748944d89dc30ec7478", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000319", "prompt": "Find x: x - 6 = 4(x - 5) + 71", "solution_steps": ["Expand: x - 6 = 4x - 20 + 71", "Combine constants: x - 6 = 4x + 51", "Subtract 4x from both sides: -3x - 6 = 51", "Add 6 to both sides: -3x = 57", "Divide both sides by -3: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6 = 4(x - 5) + 71", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 4, \"c\": 5, \"e\": 71, \"x\": -19}", "seed": "11732363856498964353", "semantic_fingerprint": "sha256:102f239d01ea81f87ec4eba59d737a6f0ad9122557fa54fa02a611cf4b788b25", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000320", "prompt": "Solve for x: 10(x - 62) = -2x - 488", "solution_steps": ["Expand: 10x - 620 = -2x - 488", "Add 2x to both sides: 12x - 620 = -488", "Add 620 to both sides: 12x = 132", "Divide both sides by 12: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 62) = -2x - 488", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 62, \"c\": -2, \"e\": -488, \"x\": 11}", "seed": "17189874980771295106", "semantic_fingerprint": "sha256:03a60b59d4e401bac08be7e6e42b60b89a829412008c612a0ad413a33d5f7d28", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000321", "prompt": "Solve for x: 9(x + 36) + 92 = 11(x + 59) - 211", "solution_steps": ["Expand: 9x + 324 + 92 = 11(x + 59) - 211", "Expand: 9x + 324 + 92 = 11x + 649 - 211", "Combine constants: 9x + 416 = 11x + 649 - 211", "Combine constants: 9x + 416 = 11x + 438", "Subtract 11x from both sides: -2x + 416 = 438", "Subtract 416 from both sides: -2x = 22", "Divide both sides by -2: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 36) + 92 = 11(x + 59) - 211", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 36, \"c\": 92, \"d\": 11, \"e\": 59, \"g\": -211, \"x\": -11}", "seed": "8671744339036055776", "semantic_fingerprint": "sha256:e8431c5e153813b6d4ad6f5f1ddbf68d8b323a6bd1b12679b46ae6b63412e193", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000322", "prompt": "What is 4 * 391 / 3 / 6?", "solution_steps": ["Multiply: 4 * 391 = 1564", "Divide: 1564 / 3 = 1564/3", "Divide: (1564/3) / 6 = 782/9"], "final_answer": "782/9", "answer_type": "rational", "kind": "expression", "math_text": "4 * 391 / 3 / 6", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 391, \"c\": 3, \"d\": 6}", "seed": "15994962196369576508", "semantic_fingerprint": "sha256:7268f72764f8abc7876f744fe0ac8424d601de5c996537e06dd29bc2db7dd59d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000323", "prompt": "Solve for x: 5(x - 11) + 464 = -7(x - 43)", "solution_steps": ["Expand: 5x - 55 + 464 = -7(x - 43)", "Expand: 5x - 55 + 464 = -7x + 301", "Combine constants: 5x + 409 = -7x + 301", "Add 7x to both sides: 12x + 409 = 301", "Subtract 409 from both sides: 12x = -108", "Divide both sides by 12: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 11) + 464 = -7(x - 43)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 11, \"c\": -7, \"d\": 43, \"f\": 464, \"x\": -9}", "seed": "13286734432288417072", "semantic_fingerprint": "sha256:c9b54ea86d77ba1ba50f004f855715470e55ad8a16168de906da00d20cf2cc41", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000324", "prompt": "Compute: 51 + (-1) - (-4 + (-83))", "solution_steps": ["Add: 51 + (-1) = 50", "Add: -4 + (-83) = -87", "Subtract: 50 - (-87) = 137"], "final_answer": "137", "answer_type": "integer", "kind": "expression", "math_text": "51 + (-1) - (-4 + (-83))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -1, \"c\": -4, \"d\": -83}", "seed": "513217705298028196", "semantic_fingerprint": "sha256:f4cbd6d27a83008c091bf60c0ef3640a1af52104983b7e5f40f65e1f52c6e2a1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000325", "prompt": "What is (66 * (-84) + 9) * 9?", "solution_steps": ["Multiply: 66 * (-84) = -5544", "Add: -5544 + 9 = -5535", "Multiply: -5535 * 9 = -49815"], "final_answer": "-49815", "answer_type": "integer", "kind": "expression", "math_text": "(66 * (-84) + 9) * 9", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -84, \"c\": 9, \"d\": 9}", "seed": "218631598798916447", "semantic_fingerprint": "sha256:8e4ecd240a7d148f048f2e73b2704877247feaa7bdf8b8d709de42eff3a26c2a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000326", "prompt": "What is (-4 + 87) / (6 * (-4) / (-66 / (-4)))?", "solution_steps": ["Add: -4 + 87 = 83", "Multiply: 6 * (-4) = -24", "Divide: -66 / (-4) = 33/2", "Divide: -24 / (33/2) = -16/11", "Divide: 83 / (-16/11) = -913/16"], "final_answer": "-913/16", "answer_type": "rational", "kind": "expression", "math_text": "(-4 + 87) / (6 * (-4) / (-66 / (-4)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (/ (* n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 87, \"c\": 6, \"d\": -4, \"e\": -66, \"f\": -4}", "seed": "4049490395771328934", "semantic_fingerprint": "sha256:37968fe5ae82411eb4b4971af757db0670520715af89b6d0ba4d42db9152eed0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000327", "prompt": "Evaluate: -4 - 3 + (-3) + 94 * 52", "solution_steps": ["Subtract: -4 - 3 = -7", "Add: -7 + (-3) = -10", "Multiply: 94 * 52 = 4888", "Add: -10 + 4888 = 4878"], "final_answer": "4878", "answer_type": "integer", "kind": "expression", "math_text": "-4 - 3 + (-3) + 94 * 52", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": -3, \"d\": 94, \"e\": 52}", "seed": "267097891947979172", "semantic_fingerprint": "sha256:076c0a00cd52d809c8f8eb401733aacdf042b8ed37b4079e33b0b2c997c677a6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000328", "prompt": "Calculate: (-465 * (-51) + (-14)) * 6", "solution_steps": ["Multiply: -465 * (-51) = 23715", "Add: 23715 + (-14) = 23701", "Multiply: 23701 * 6 = 142206"], "final_answer": "142206", "answer_type": "integer", "kind": "expression", "math_text": "(-465 * (-51) + (-14)) * 6", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -465, \"b\": -51, \"c\": -14, \"d\": 6}", "seed": "15238798589445818873", "semantic_fingerprint": "sha256:d7e430cb280eae18843095cd37d6975be16dbb86a8d66553afdff8ecdd884e20", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000329", "prompt": "Find x: 6(x - 6) + 522 = 2x + 458", "solution_steps": ["Expand: 6x - 36 + 522 = 2x + 458", "Combine constants: 6x + 486 = 2x + 458", "Subtract 2x from both sides: 4x + 486 = 458", "Subtract 486 from both sides: 4x = -28", "Divide both sides by 4: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 6) + 522 = 2x + 458", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 522, \"d\": 2, \"f\": 458, \"x\": -7}", "seed": "12422656088054989674", "semantic_fingerprint": "sha256:8531621a3ce4f024ba764fe115e52bbff2eae8f9f21e03c497b9f3cd0a247b53", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000330", "prompt": "What is 16 / (67 + 0) * 122 + 69?", "solution_steps": ["Add: 67 + 0 = 67", "Divide: 16 / 67 = 16/67", "Multiply: (16/67) * 122 = 1952/67", "Add: 1952/67 + 69 = 6575/67"], "final_answer": "6575/67", "answer_type": "rational", "kind": "expression", "math_text": "16 / (67 + 0) * 122 + 69", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 67, \"c\": 0, \"d\": 122, \"e\": 69}", "seed": "4541937273308049228", "semantic_fingerprint": "sha256:b7271a22cf60438a7abfeef65f0214a22427a2446f787e04b13181a1b098862f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000331", "prompt": "What is -497 - (-79 + (226 - (-15)))?", "solution_steps": ["Subtract: 226 - (-15) = 241", "Add: -79 + 241 = 162", "Subtract: -497 - 162 = -659"], "final_answer": "-659", "answer_type": "integer", "kind": "expression", "math_text": "-497 - (-79 + (226 - (-15)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -497, \"b\": -79, \"c\": 226, \"d\": -15}", "seed": "10333579760284114917", "semantic_fingerprint": "sha256:55f4393847864602f610a76eb3e97c4713e9b89a216580d9b91728a33c7faa8e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000332", "prompt": "What is (-6 + (-73)) * (-36 - (-81) + 82) + (-82)?", "solution_steps": ["Add: -6 + (-73) = -79", "Subtract: -36 - (-81) = 45", "Add: 45 + 82 = 127", "Multiply: -79 * 127 = -10033", "Add: -10033 + (-82) = -10115"], "final_answer": "-10115", "answer_type": "integer", "kind": "expression", "math_text": "(-6 + (-73)) * (-36 - (-81) + 82) + (-82)", "variable": null, "family": "expression_5op", "shape": "(+ (* (+ n n) (+ (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -73, \"c\": -36, \"d\": -81, \"e\": 82, \"f\": -82}", "seed": "5369827665583173666", "semantic_fingerprint": "sha256:b9de866356ebaee8697c6a218c6696bcdb1a5eb651789bd53a005371be7b581e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000333", "prompt": "Evaluate: 1 / (-16) - (6 - 71) * 38 + (-96)", "solution_steps": ["Divide: 1 / (-16) = -1/16", "Subtract: 6 - 71 = -65", "Multiply: -65 * 38 = -2470", "Subtract: -1/16 - (-2470) = 39519/16", "Add: 39519/16 + (-96) = 37983/16"], "final_answer": "37983/16", "answer_type": "rational", "kind": "expression", "math_text": "1 / (-16) - (6 - 71) * 38 + (-96)", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n n) (* (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -16, \"c\": 6, \"d\": 71, \"e\": 38, \"f\": -96}", "seed": "18298456637619450870", "semantic_fingerprint": "sha256:842d786918b959bcd564ebfbcb7ab7006622301674989a6b273ead45adc5f5d2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000334", "prompt": "What is (-59 - (-3)) * 3 - 646 - (-182)?", "solution_steps": ["Subtract: -59 - (-3) = -56", "Multiply: -56 * 3 = -168", "Subtract: -168 - 646 = -814", "Subtract: -814 - (-182) = -632"], "final_answer": "-632", "answer_type": "integer", "kind": "expression", "math_text": "(-59 - (-3)) * 3 - 646 - (-182)", "variable": null, "family": "expression_4op", "shape": "(- (- (* (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": -3, \"c\": 3, \"d\": 646, \"e\": -182}", "seed": "7134860754672530050", "semantic_fingerprint": "sha256:066b82fc29430a7c5f4a0c1c649527c8850d7c50972526e36ad3448620ba2faa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000335", "prompt": "Evaluate: (1 + (-524)) / (-54 - (14 - 89))", "solution_steps": ["Add: 1 + (-524) = -523", "Subtract: 14 - 89 = -75", "Subtract: -54 - (-75) = 21", "Divide: -523 / 21 = -523/21"], "final_answer": "-523/21", "answer_type": "rational", "kind": "expression", "math_text": "(1 + (-524)) / (-54 - (14 - 89))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -524, \"c\": -54, \"d\": 14, \"e\": 89}", "seed": "12318064740554410049", "semantic_fingerprint": "sha256:959283c3c5c06e0dc96b0b1a73bb4e6afdd14997a145f673cbae63c965f1da75", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000336", "prompt": "Compute: 441 / (0 + (-62)) / (-52 + (-61))", "solution_steps": ["Add: 0 + (-62) = -62", "Divide: 441 / (-62) = -441/62", "Add: -52 + (-61) = -113", "Divide: (-441/62) / (-113) = 441/7006"], "final_answer": "441/7006", "answer_type": "rational", "kind": "expression", "math_text": "441 / (0 + (-62)) / (-52 + (-61))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 441, \"b\": 0, \"c\": -62, \"d\": -52, \"e\": -61}", "seed": "14843930012566921612", "semantic_fingerprint": "sha256:738b616958eb8d667b955740fb07f83bf3d408d21a6890f31d77e74436cc2cb8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000337", "prompt": "Solve for x: 10(x - 601) + 969 = 11(x - 459)", "solution_steps": ["Expand: 10x - 6010 + 969 = 11(x - 459)", "Expand: 10x - 6010 + 969 = 11x - 5049", "Combine constants: 10x - 5041 = 11x - 5049", "Subtract 11x from both sides: -x - 5041 = -5049", "Add 5041 to both sides: -x = -8", "Divide both sides by -1: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 601) + 969 = 11(x - 459)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 601, \"c\": 11, \"d\": 459, \"f\": 969, \"x\": 8}", "seed": "13449748660853382748", "semantic_fingerprint": "sha256:865b093c67bf521824218d7a1fbfb50f03920c27cfbac511fda243ac38ad4d4b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000338", "prompt": "Compute: (0 + 80) / (67 / 36 - (84 + (-6)))", "solution_steps": ["Add: 0 + 80 = 80", "Divide: 67 / 36 = 67/36", "Add: 84 + (-6) = 78", "Subtract: 67/36 - 78 = -2741/36", "Divide: 80 / (-2741/36) = -2880/2741"], "final_answer": "-2880/2741", "answer_type": "rational", "kind": "expression", "math_text": "(0 + 80) / (67 / 36 - (84 + (-6)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (- (/ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 80, \"c\": 67, \"d\": 36, \"e\": 84, \"f\": -6}", "seed": "5451860756098663468", "semantic_fingerprint": "sha256:312ddfc7689f0e0b65d90b7125ba1ce6c089dd99b0721bfdf1bfd710c29f8aa1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000339", "prompt": "What is 9 * (74 - (-9) + 80)?", "solution_steps": ["Subtract: 74 - (-9) = 83", "Add: 83 + 80 = 163", "Multiply: 9 * 163 = 1467"], "final_answer": "1467", "answer_type": "integer", "kind": "expression", "math_text": "9 * (74 - (-9) + 80)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 74, \"c\": -9, \"d\": 80}", "seed": "977740495261348661", "semantic_fingerprint": "sha256:bbfd64cd71977cefb9e249e510bbb0fcfa427a6819f7a1554f8a03db21cfb706", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000340", "prompt": "Compute: -9 - (39 + (50 - (-13)))", "solution_steps": ["Subtract: 50 - (-13) = 63", "Add: 39 + 63 = 102", "Subtract: -9 - 102 = -111"], "final_answer": "-111", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (39 + (50 - (-13)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 39, \"c\": 50, \"d\": -13}", "seed": "12820837304793387046", "semantic_fingerprint": "sha256:bc86477a878504fde9f70f1b386090e27e6abce6def93bb0ab6d6a0ca9d7f959", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000341", "prompt": "Find x: 4x - 368 = -11(x + 53) + 260", "solution_steps": ["Expand: 4x - 368 = -11x - 583 + 260", "Combine constants: 4x - 368 = -11x - 323", "Add 11x to both sides: 15x - 368 = -323", "Add 368 to both sides: 15x = 45", "Divide both sides by 15: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 368 = -11(x + 53) + 260", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 368, \"c\": -11, \"d\": 53, \"f\": 260, \"x\": 3}", "seed": "12764015411945633191", "semantic_fingerprint": "sha256:a19257252dd76a213c9d0fa971f0fb586b3b482293bcfebb75ea2f1296e72432", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000342", "prompt": "Compute: 735 * (32 / 92) + (0 + (-39) + 685)", "solution_steps": ["Divide: 32 / 92 = 8/23", "Multiply: 735 * (8/23) = 5880/23", "Add: 0 + (-39) = -39", "Add: -39 + 685 = 646", "Add: 5880/23 + 646 = 20738/23"], "final_answer": "20738/23", "answer_type": "rational", "kind": "expression", "math_text": "735 * (32 / 92) + (0 + (-39) + 685)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (/ n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 735, \"b\": 32, \"c\": 92, \"d\": 0, \"e\": -39, \"f\": 685}", "seed": "5167350328510245562", "semantic_fingerprint": "sha256:51cec2c8f298bb86e84257e35b4dffc3602d439a58af5e8dc4b1572b0b209ded", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000343", "prompt": "Compute: 36 + (-4 * (-51 * (-3 + 2)) - (-2))", "solution_steps": ["Add: -3 + 2 = -1", "Multiply: -51 * (-1) = 51", "Multiply: -4 * 51 = -204", "Subtract: -204 - (-2) = -202", "Add: 36 + (-202) = -166"], "final_answer": "-166", "answer_type": "integer", "kind": "expression", "math_text": "36 + (-4 * (-51 * (-3 + 2)) - (-2))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (* n (* n (+ n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": -4, \"c\": -51, \"d\": -3, \"e\": 2, \"f\": -2}", "seed": "12746479477824386628", "semantic_fingerprint": "sha256:ac4c2ef3fad4b3b676fb75197831e6c2495edaa907414cef4b850b23da1ec433", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000344", "prompt": "Evaluate: -72 - 0 * (-16) - 8", "solution_steps": ["Multiply: 0 * (-16) = 0", "Subtract: -72 - 0 = -72", "Subtract: -72 - 8 = -80"], "final_answer": "-80", "answer_type": "integer", "kind": "expression", "math_text": "-72 - 0 * (-16) - 8", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": 0, \"c\": -16, \"d\": 8}", "seed": "2840273963100728726", "semantic_fingerprint": "sha256:ac50bbb22d3d0b03584a39d6f599e446223a9268f4c7b890002dc674025218cc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000345", "prompt": "What value of x satisfies -8(x - 43) + 2 = 10x + 346?", "solution_steps": ["Expand: -8x + 344 + 2 = 10x + 346", "Combine constants: -8x + 346 = 10x + 346", "Subtract 10x from both sides: -18x + 346 = 346", "Subtract 346 from both sides: -18x = 0", "Divide both sides by -18: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 43) + 2 = 10x + 346", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 43, \"c\": 2, \"d\": 10, \"f\": 346, \"x\": 0}", "seed": "4689068164437392116", "semantic_fingerprint": "sha256:2eb4db0fbf246793c0d426cc7bf5b27acdd2e477b4ffd6acbc3f299840a1c9fd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000346", "prompt": "Compute: 3 / (-58 * (-14) / 75)", "solution_steps": ["Multiply: -58 * (-14) = 812", "Divide: 812 / 75 = 812/75", "Divide: 3 / (812/75) = 225/812"], "final_answer": "225/812", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-58 * (-14) / 75)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -58, \"c\": -14, \"d\": 75}", "seed": "5541178808043436379", "semantic_fingerprint": "sha256:54fe806d16a83737ff813f461b871957b6485fcc7d977e04c45a73b69d9c4f8c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000347", "prompt": "Solve the equation 11(x + 71) + 4 = 8(x + 645) - 283 for x.", "solution_steps": ["Expand: 11x + 781 + 4 = 8(x + 645) - 283", "Expand: 11x + 781 + 4 = 8x + 5160 - 283", "Combine constants: 11x + 785 = 8x + 5160 - 283", "Combine constants: 11x + 785 = 8x + 4877", "Subtract 8x from both sides: 3x + 785 = 4877", "Subtract 785 from both sides: 3x = 4092", "Divide both sides by 3: x = 1364"], "final_answer": "1364", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 71) + 4 = 8(x + 645) - 283", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 71, \"c\": 4, \"d\": 8, \"e\": 645, \"f\": 283}", "seed": "1714511080270063943", "semantic_fingerprint": "sha256:a1cd6b9a797fdd4c989ed66e3733ff67885d018563d32dbd69e0d9bf63a7cde7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000348", "prompt": "Compute: 78 * (-6 * (-4)) - (-6)", "solution_steps": ["Multiply: -6 * (-4) = 24", "Multiply: 78 * 24 = 1872", "Subtract: 1872 - (-6) = 1878"], "final_answer": "1878", "answer_type": "integer", "kind": "expression", "math_text": "78 * (-6 * (-4)) - (-6)", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": -6, \"c\": -4, \"d\": -6}", "seed": "1533166453920747791", "semantic_fingerprint": "sha256:92f974cece6911505eec96722117784af382692fbc4dbf4e6f9e6a272d1b0291", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000349", "prompt": "Calculate: (1 + (-21) * 9) * (-7 - 77)", "solution_steps": ["Multiply: -21 * 9 = -189", "Add: 1 + (-189) = -188", "Subtract: -7 - 77 = -84", "Multiply: -188 * (-84) = 15792"], "final_answer": "15792", "answer_type": "integer", "kind": "expression", "math_text": "(1 + (-21) * 9) * (-7 - 77)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -21, \"c\": 9, \"d\": -7, \"e\": 77}", "seed": "9732496393170249461", "semantic_fingerprint": "sha256:ad35d350a1673d337cb263eeb9d55af48d1566596129a3bd1f38ccfdc129cb61", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000350", "prompt": "What value of x satisfies -4(x - 18) + 1 = 8(x + 2) - 3?", "solution_steps": ["Expand: -4x + 72 + 1 = 8(x + 2) - 3", "Expand: -4x + 72 + 1 = 8x + 16 - 3", "Combine constants: -4x + 73 = 8x + 16 - 3", "Combine constants: -4x + 73 = 8x + 13", "Subtract 8x from both sides: -12x + 73 = 13", "Subtract 73 from both sides: -12x = -60", "Divide both sides by -12: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 18) + 1 = 8(x + 2) - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 18, \"c\": 1, \"d\": 8, \"e\": 2, \"g\": -3, \"x\": 5}", "seed": "14788383540539393757", "semantic_fingerprint": "sha256:e4661e8c3dfbf928c964ed76b73717462f6f65467b9fb38c19ddc6d76aefdc60", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000351", "prompt": "What value of x satisfies 3(x - 3) + 15 = 8(x + 25) - 189?", "solution_steps": ["Expand: 3x - 9 + 15 = 8(x + 25) - 189", "Expand: 3x - 9 + 15 = 8x + 200 - 189", "Combine constants: 3x + 6 = 8x + 200 - 189", "Combine constants: 3x + 6 = 8x + 11", "Subtract 8x from both sides: -5x + 6 = 11", "Subtract 6 from both sides: -5x = 5", "Divide both sides by -5: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 3) + 15 = 8(x + 25) - 189", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 15, \"d\": 8, \"e\": 25, \"g\": -189, \"x\": -1}", "seed": "6749050580242353779", "semantic_fingerprint": "sha256:7806c9e70558f43fa163825df7968a99176c73b1e31bad68b468d909f88a2648", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000352", "prompt": "What is (-7 / (-16) - 0) / (-11 * (-26))?", "solution_steps": ["Divide: -7 / (-16) = 7/16", "Subtract: 7/16 - 0 = 7/16", "Multiply: -11 * (-26) = 286", "Divide: (7/16) / 286 = 7/4576"], "final_answer": "7/4576", "answer_type": "rational", "kind": "expression", "math_text": "(-7 / (-16) - 0) / (-11 * (-26))", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -16, \"c\": 0, \"d\": -11, \"e\": -26}", "seed": "13091082627832203999", "semantic_fingerprint": "sha256:3dac955aa35cc85838e272c76aa8066c2dd4f4dc5eacdea316d08594e853aa93", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000353", "prompt": "Solve for x: 2(x - 58) + 70 = 8(x + 4) - 72", "solution_steps": ["Expand: 2x - 116 + 70 = 8(x + 4) - 72", "Expand: 2x - 116 + 70 = 8x + 32 - 72", "Combine constants: 2x - 46 = 8x + 32 - 72", "Combine constants: 2x - 46 = 8x - 40", "Subtract 8x from both sides: -6x - 46 = -40", "Add 46 to both sides: -6x = 6", "Divide both sides by -6: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 58) + 70 = 8(x + 4) - 72", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 58, \"c\": 70, \"d\": 8, \"e\": 4, \"g\": -72, \"x\": -1}", "seed": "6945321979820416322", "semantic_fingerprint": "sha256:e19efd68515b5608eb7c22c4bab66b97f8cdcd9b22ccf27aee274b49b72d55ef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000354", "prompt": "What value of x satisfies -9(x - 7) + 3 = 12x + 3?", "solution_steps": ["Expand: -9x + 63 + 3 = 12x + 3", "Combine constants: -9x + 66 = 12x + 3", "Subtract 12x from both sides: -21x + 66 = 3", "Subtract 66 from both sides: -21x = -63", "Divide both sides by -21: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 7) + 3 = 12x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 7, \"c\": 3, \"d\": 12, \"f\": 3, \"x\": 3}", "seed": "11826787346989704045", "semantic_fingerprint": "sha256:75b9c740c0202047da3584b123709f284bfcb7bb0aabcea1a680f2f84ef29855", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000355", "prompt": "Solve for x: 3(x - 60) = -7x - 180", "solution_steps": ["Expand: 3x - 180 = -7x - 180", "Add 7x to both sides: 10x - 180 = -180", "Add 180 to both sides: 10x = 0", "Divide both sides by 10: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 60) = -7x - 180", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 60, \"c\": -7, \"e\": -180, \"x\": 0}", "seed": "4779287157315837369", "semantic_fingerprint": "sha256:4ff2dda751117d95a4e8e173ec5feb70732a51283163a7d91e24d6a822921009", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000356", "prompt": "Solve for x: 2(x - 51) - 152 = 4(x - 63)", "solution_steps": ["Expand: 2x - 102 - 152 = 4(x - 63)", "Expand: 2x - 102 - 152 = 4x - 252", "Combine constants: 2x - 254 = 4x - 252", "Subtract 4x from both sides: -2x - 254 = -252", "Add 254 to both sides: -2x = 2", "Divide both sides by -2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 51) - 152 = 4(x - 63)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 51, \"c\": 4, \"d\": 63, \"f\": -152, \"x\": -1}", "seed": "14883256892483812941", "semantic_fingerprint": "sha256:bdea88d6bbc042e851229d4e5548bffe70e237d00a6b0639896696f983ba728c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000357", "prompt": "Evaluate: -59 / 7 * (-56 - (-938)) - 319 + (-615)", "solution_steps": ["Divide: -59 / 7 = -59/7", "Subtract: -56 - (-938) = 882", "Multiply: (-59/7) * 882 = -7434", "Subtract: -7434 - 319 = -7753", "Add: -7753 + (-615) = -8368"], "final_answer": "-8368", "answer_type": "integer", "kind": "expression", "math_text": "-59 / 7 * (-56 - (-938)) - 319 + (-615)", "variable": null, "family": "expression_5op", "shape": "(+ (- (* (/ n n) (- n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": 7, \"c\": -56, \"d\": -938, \"e\": 319, \"f\": -615}", "seed": "2979155395089795833", "semantic_fingerprint": "sha256:5a7964e2166afdf096c43e3335c355ebf8ddc9d366a6f1570d82ac3bd36b107f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000358", "prompt": "What is -38 * (-3) * (-3) / (9 - 4)?", "solution_steps": ["Multiply: -38 * (-3) = 114", "Multiply: 114 * (-3) = -342", "Subtract: 9 - 4 = 5", "Divide: -342 / 5 = -342/5"], "final_answer": "-342/5", "answer_type": "rational", "kind": "expression", "math_text": "-38 * (-3) * (-3) / (9 - 4)", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": -3, \"c\": -3, \"d\": 9, \"e\": 4}", "seed": "2000616610046885326", "semantic_fingerprint": "sha256:42684b112e2e66dc1cd70fbfc66cfeff0fdb01cc8a31178e56daeaf49cc031e7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000359", "prompt": "Calculate: -32 - (79 + (-68 - 94))", "solution_steps": ["Subtract: -68 - 94 = -162", "Add: 79 + (-162) = -83", "Subtract: -32 - (-83) = 51"], "final_answer": "51", "answer_type": "integer", "kind": "expression", "math_text": "-32 - (79 + (-68 - 94))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": 79, \"c\": -68, \"d\": 94}", "seed": "2394252107651406945", "semantic_fingerprint": "sha256:801c3a7d89eb3a9b550c71b010a1c24cbbd7895ca82cfe855fbd73ac31ca467e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000360", "prompt": "Evaluate: (-39 - (-588) + (-2)) * (-233)", "solution_steps": ["Subtract: -39 - (-588) = 549", "Add: 549 + (-2) = 547", "Multiply: 547 * (-233) = -127451"], "final_answer": "-127451", "answer_type": "integer", "kind": "expression", "math_text": "(-39 - (-588) + (-2)) * (-233)", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": -588, \"c\": -2, \"d\": -233}", "seed": "17414209039208927019", "semantic_fingerprint": "sha256:b5be17e0833b61998aeca1e17d3ce3fdafc246951c4e8f1e568d01d2f38f6e8c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000361", "prompt": "What is (-64 - (-4 - (-161))) / (-2 + (-5))?", "solution_steps": ["Subtract: -4 - (-161) = 157", "Subtract: -64 - 157 = -221", "Add: -2 + (-5) = -7", "Divide: -221 / (-7) = 221/7"], "final_answer": "221/7", "answer_type": "rational", "kind": "expression", "math_text": "(-64 - (-4 - (-161))) / (-2 + (-5))", "variable": null, "family": "expression_4op", "shape": "(/ (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": -4, \"c\": -161, \"d\": -2, \"e\": -5}", "seed": "4841779057958444317", "semantic_fingerprint": "sha256:d84988f95e39c41ad150333a6de9dcb3e9a5c8e69b427109295ea84ff2a464b9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000362", "prompt": "Calculate: (83 - (-757) / 276) / 5", "solution_steps": ["Divide: -757 / 276 = -757/276", "Subtract: 83 - (-757/276) = 23665/276", "Divide: (23665/276) / 5 = 4733/276"], "final_answer": "4733/276", "answer_type": "rational", "kind": "expression", "math_text": "(83 - (-757) / 276) / 5", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": -757, \"c\": 276, \"d\": 5}", "seed": "17010638333047014770", "semantic_fingerprint": "sha256:290d78f4a2eac1e3f8ca966b885326a433e4d085350652c4a83dc82c710a5be9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000363", "prompt": "Evaluate: -6 / (-25 / (-32 * (-4)))", "solution_steps": ["Multiply: -32 * (-4) = 128", "Divide: -25 / 128 = -25/128", "Divide: -6 / (-25/128) = 768/25"], "final_answer": "768/25", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-25 / (-32 * (-4)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -25, \"c\": -32, \"d\": -4}", "seed": "16519771817725036667", "semantic_fingerprint": "sha256:eea4b911cc23f801f12906a66564e0a229a354acd82b4327d099cf216c7324d3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000364", "prompt": "Compute: 72 / (2 - (-71) - 673)", "solution_steps": ["Subtract: 2 - (-71) = 73", "Subtract: 73 - 673 = -600", "Divide: 72 / (-600) = -3/25"], "final_answer": "-3/25", "answer_type": "rational", "kind": "expression", "math_text": "72 / (2 - (-71) - 673)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": 2, \"c\": -71, \"d\": 673}", "seed": "11826873057624429259", "semantic_fingerprint": "sha256:6d14b3747cb4b07fa7e95d4d2a2e1395915965c03d3b80e1a62aa6e084d6512b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000365", "prompt": "Calculate: 55 / (-743) + (0 + 4) - 7 / (-3)", "solution_steps": ["Divide: 55 / (-743) = -55/743", "Add: 0 + 4 = 4", "Add: -55/743 + 4 = 2917/743", "Divide: 7 / (-3) = -7/3", "Subtract: 2917/743 - (-7/3) = 13952/2229"], "final_answer": "13952/2229", "answer_type": "rational", "kind": "expression", "math_text": "55 / (-743) + (0 + 4) - 7 / (-3)", "variable": null, "family": "expression_5op", "shape": "(- (+ (/ n n) (+ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -743, \"c\": 0, \"d\": 4, \"e\": 7, \"f\": -3}", "seed": "6359610065763785858", "semantic_fingerprint": "sha256:30a9ad042ad877c38a41d3082d0b17f2caf817b45d936683753c9690cb275c47", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000366", "prompt": "Solve the equation 5(x - 208) = -8x - 910 for x.", "solution_steps": ["Expand: 5x - 1040 = -8x - 910", "Add 8x to both sides: 13x - 1040 = -910", "Add 1040 to both sides: 13x = 130", "Divide both sides by 13: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 208) = -8x - 910", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 208, \"c\": -8, \"e\": -910, \"x\": 10}", "seed": "3473162870900213350", "semantic_fingerprint": "sha256:b0b2b951fd58258adc0801f741f9772561686be8ea7449c5e861e659878b68b3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000367", "prompt": "Calculate: -41 + (-31 + (-1)) * (-4 + (-831)) - (-60)", "solution_steps": ["Add: -31 + (-1) = -32", "Add: -4 + (-831) = -835", "Multiply: -32 * (-835) = 26720", "Add: -41 + 26720 = 26679", "Subtract: 26679 - (-60) = 26739"], "final_answer": "26739", "answer_type": "integer", "kind": "expression", "math_text": "-41 + (-31 + (-1)) * (-4 + (-831)) - (-60)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (* (+ n n) (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": -31, \"c\": -1, \"d\": -4, \"e\": -831, \"f\": -60}", "seed": "11193938101445968964", "semantic_fingerprint": "sha256:90b6a9d1d05448aa795ce5c22af30385540822a1443b1761b2dae6264dd0c95d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000368", "prompt": "What value of x satisfies 5(x + 1) - 51 = x - 34?", "solution_steps": ["Expand: 5x + 5 - 51 = x - 34", "Combine constants: 5x - 46 = x - 34", "Subtract x from both sides: 4x - 46 = -34", "Add 46 to both sides: 4x = 12", "Divide both sides by 4: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 1) - 51 = x - 34", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"c\": 51, \"e\": -34, \"x\": 3}", "seed": "1956779471883386332", "semantic_fingerprint": "sha256:1e92e75561bbc64bbe12a588c753b0585e9f75906239a9119b0b905f3300fc3f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000369", "prompt": "What is (7 + (-9)) * (-465 * 603 - (-2))?", "solution_steps": ["Add: 7 + (-9) = -2", "Multiply: -465 * 603 = -280395", "Subtract: -280395 - (-2) = -280393", "Multiply: -2 * (-280393) = 560786"], "final_answer": "560786", "answer_type": "integer", "kind": "expression", "math_text": "(7 + (-9)) * (-465 * 603 - (-2))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -9, \"c\": -465, \"d\": 603, \"e\": -2}", "seed": "14625544753832465326", "semantic_fingerprint": "sha256:71f02804eb4ce278576ab2f530c60b53ecd1984827a7d623bd48818906ee3283", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000370", "prompt": "Compute: 72 * (-8 * (20 - (-96)))", "solution_steps": ["Subtract: 20 - (-96) = 116", "Multiply: -8 * 116 = -928", "Multiply: 72 * (-928) = -66816"], "final_answer": "-66816", "answer_type": "integer", "kind": "expression", "math_text": "72 * (-8 * (20 - (-96)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": -8, \"c\": 20, \"d\": -96}", "seed": "9336766598600282034", "semantic_fingerprint": "sha256:a35afb8ce458c4c832f90565bb330ed46bc6aa41f5c1e57b0673caab8e78acd2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000371", "prompt": "Compute: (-979 + 15) / (-6 - (-16)) + (-518)", "solution_steps": ["Add: -979 + 15 = -964", "Subtract: -6 - (-16) = 10", "Divide: -964 / 10 = -482/5", "Add: -482/5 + (-518) = -3072/5"], "final_answer": "-3072/5", "answer_type": "rational", "kind": "expression", "math_text": "(-979 + 15) / (-6 - (-16)) + (-518)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -979, \"b\": 15, \"c\": -6, \"d\": -16, \"e\": -518}", "seed": "1999615806081586832", "semantic_fingerprint": "sha256:93d8f2e1f49aa35fd6f9ff89943c96801eaa33ad03326fce9d88b2896faed288", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000372", "prompt": "What is -90 - (-1 + (85 - (-39)))?", "solution_steps": ["Subtract: 85 - (-39) = 124", "Add: -1 + 124 = 123", "Subtract: -90 - 123 = -213"], "final_answer": "-213", "answer_type": "integer", "kind": "expression", "math_text": "-90 - (-1 + (85 - (-39)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": -1, \"c\": 85, \"d\": -39}", "seed": "2961635412914919649", "semantic_fingerprint": "sha256:75a172f7d20979c4e0424cf203506dde57478b82568e0cc87819b39e8df02925", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000373", "prompt": "What value of x satisfies 10(x - 811) + 781 = 11x + 97?", "solution_steps": ["Expand: 10x - 8110 + 781 = 11x + 97", "Combine constants: 10x - 7329 = 11x + 97", "Subtract 11x from both sides: -x - 7329 = 97", "Add 7329 to both sides: -x = 7426", "Divide both sides by -1: x = -7426"], "final_answer": "-7426", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 811) + 781 = 11x + 97", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 811, \"c\": 781, \"d\": 11, \"e\": 97}", "seed": "16863784363001799942", "semantic_fingerprint": "sha256:374a85ae79153bbf4a7880f5a4ba74eddc7af7389a7e94f146e5924a025618de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000374", "prompt": "Solve the equation 2(x + 2) - 593 = x - 598 for x.", "solution_steps": ["Expand: 2x + 4 - 593 = x - 598", "Combine constants: 2x - 589 = x - 598", "Subtract x from both sides: x - 589 = -598", "Add 589 to both sides: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 2) - 593 = x - 598", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 593, \"e\": -598, \"x\": -9}", "seed": "12367036998158979730", "semantic_fingerprint": "sha256:52e72a764079a9be2a8964159d9fd286b94016e161814f77c62c0edff86f1496", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000375", "prompt": "What value of x satisfies 7(x - 9) + 9 = 12(x + 13) - 235?", "solution_steps": ["Expand: 7x - 63 + 9 = 12(x + 13) - 235", "Expand: 7x - 63 + 9 = 12x + 156 - 235", "Combine constants: 7x - 54 = 12x + 156 - 235", "Combine constants: 7x - 54 = 12x - 79", "Subtract 12x from both sides: -5x - 54 = -79", "Add 54 to both sides: -5x = -25", "Divide both sides by -5: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 9) + 9 = 12(x + 13) - 235", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 9, \"d\": 12, \"e\": 13, \"g\": -235, \"x\": 5}", "seed": "3468807750634830465", "semantic_fingerprint": "sha256:8d769740b3fbb9c38efdca258119c7162999dd88493d07837c898f271b775be0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000376", "prompt": "Solve for x: -3(x + 1) + 143 = 5(x + 13) - 370", "solution_steps": ["Expand: -3x - 3 + 143 = 5(x + 13) - 370", "Expand: -3x - 3 + 143 = 5x + 65 - 370", "Combine constants: -3x + 140 = 5x + 65 - 370", "Combine constants: -3x + 140 = 5x - 305", "Subtract 5x from both sides: -8x + 140 = -305", "Subtract 140 from both sides: -8x = -445", "Divide both sides by -8: x = 445/8"], "final_answer": "445/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x + 1) + 143 = 5(x + 13) - 370", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 1, \"c\": 143, \"d\": 5, \"e\": 13, \"f\": 370}", "seed": "18245011934920934778", "semantic_fingerprint": "sha256:5665c6d8ac11685ba6c33a23117ca6de2931c34a64f839f3ea2c06f2e304069b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000377", "prompt": "Find x: 8(x - 9) + 383 = 3x + 4", "solution_steps": ["Expand: 8x - 72 + 383 = 3x + 4", "Combine constants: 8x + 311 = 3x + 4", "Subtract 3x from both sides: 5x + 311 = 4", "Subtract 311 from both sides: 5x = -307", "Divide both sides by 5: x = -307/5"], "final_answer": "-307/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 9) + 383 = 3x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 383, \"d\": 3, \"e\": 4}", "seed": "3467462627641531483", "semantic_fingerprint": "sha256:69f7826be38869a6b370e3ec9da1475f0e8e29dfd6b75c6f6fd6df63735ca4c1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000378", "prompt": "Evaluate: 6 / (-17) / (-6 * (27 / (-7)))", "solution_steps": ["Divide: 6 / (-17) = -6/17", "Divide: 27 / (-7) = -27/7", "Multiply: -6 * (-27/7) = 162/7", "Divide: (-6/17) / (162/7) = -7/459"], "final_answer": "-7/459", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-17) / (-6 * (27 / (-7)))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (* n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -17, \"c\": -6, \"d\": 27, \"e\": -7}", "seed": "4450563082738722979", "semantic_fingerprint": "sha256:617c435b47433be25fa357afb92328c74674feab780264cd2c1ddd91190b9b2e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000379", "prompt": "Evaluate: -6 + (-1) - (-47) + 305", "solution_steps": ["Add: -6 + (-1) = -7", "Subtract: -7 - (-47) = 40", "Add: 40 + 305 = 345"], "final_answer": "345", "answer_type": "integer", "kind": "expression", "math_text": "-6 + (-1) - (-47) + 305", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -1, \"c\": -47, \"d\": 305}", "seed": "162250747275066945", "semantic_fingerprint": "sha256:6848e43d8f2dfe08bad76b3b4a7e76e02d81ec0486746356eb9673ea8f02e6cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000380", "prompt": "What value of x satisfies -2(x - 2) + 8 = 3(x - 6)?", "solution_steps": ["Expand: -2x + 4 + 8 = 3(x - 6)", "Expand: -2x + 4 + 8 = 3x - 18", "Combine constants: -2x + 12 = 3x - 18", "Subtract 3x from both sides: -5x + 12 = -18", "Subtract 12 from both sides: -5x = -30", "Divide both sides by -5: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 2) + 8 = 3(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 2, \"c\": 8, \"d\": 3, \"e\": 6}", "seed": "6594574937584612797", "semantic_fingerprint": "sha256:1c13f86e550fd9e73c9d99014992f81865eb6cb77fd98e98645dfd34d0bd15d3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000381", "prompt": "What is (-77 - 30) / (30 * 321)?", "solution_steps": ["Subtract: -77 - 30 = -107", "Multiply: 30 * 321 = 9630", "Divide: -107 / 9630 = -1/90"], "final_answer": "-1/90", "answer_type": "rational", "kind": "expression", "math_text": "(-77 - 30) / (30 * 321)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": 30, \"c\": 30, \"d\": 321}", "seed": "15435633105705468177", "semantic_fingerprint": "sha256:d1567f2818307e10c210d48a5b184537b2700383bc33ff8045be55ec0d6b7ac9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000382", "prompt": "Calculate: -16 + 48 - (344 + (-62))", "solution_steps": ["Add: -16 + 48 = 32", "Add: 344 + (-62) = 282", "Subtract: 32 - 282 = -250"], "final_answer": "-250", "answer_type": "integer", "kind": "expression", "math_text": "-16 + 48 - (344 + (-62))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": 48, \"c\": 344, \"d\": -62}", "seed": "10384271477596529686", "semantic_fingerprint": "sha256:976ee63396e7a5256739994c34095cf556071a661029066cad7d0621dee2086a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000383", "prompt": "Evaluate: -3 + (-78) - (-73 + 7)", "solution_steps": ["Add: -3 + (-78) = -81", "Add: -73 + 7 = -66", "Subtract: -81 - (-66) = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (-78) - (-73 + 7)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -78, \"c\": -73, \"d\": 7}", "seed": "7745385548597128762", "semantic_fingerprint": "sha256:8fe7e6792f417bbf8ef8e9e7b4c7fe2bd32a03d6e0569e25e96eba681fb20436", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000384", "prompt": "Evaluate: (536 + (-5) + (-62 + 2)) / 6", "solution_steps": ["Add: 536 + (-5) = 531", "Add: -62 + 2 = -60", "Add: 531 + (-60) = 471", "Divide: 471 / 6 = 157/2"], "final_answer": "157/2", "answer_type": "rational", "kind": "expression", "math_text": "(536 + (-5) + (-62 + 2)) / 6", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 536, \"b\": -5, \"c\": -62, \"d\": 2, \"e\": 6}", "seed": "3625414464792637440", "semantic_fingerprint": "sha256:de6693df63301fae440d7c2615008e0d8af11554b54c1d40877b93d1ec3b5eec", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000385", "prompt": "What value of x satisfies 12(x + 4) - 88 = x - 95?", "solution_steps": ["Expand: 12x + 48 - 88 = x - 95", "Combine constants: 12x - 40 = x - 95", "Subtract x from both sides: 11x - 40 = -95", "Add 40 to both sides: 11x = -55", "Divide both sides by 11: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 4) - 88 = x - 95", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": 88, \"e\": -95, \"x\": -5}", "seed": "11424881317150893499", "semantic_fingerprint": "sha256:0493091850f4ff211977e0d933c34f98db9d339a2020ecbda85243770e8d11f3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000386", "prompt": "What is 863 + 45 - (416 + 0)?", "solution_steps": ["Add: 863 + 45 = 908", "Add: 416 + 0 = 416", "Subtract: 908 - 416 = 492"], "final_answer": "492", "answer_type": "integer", "kind": "expression", "math_text": "863 + 45 - (416 + 0)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 863, \"b\": 45, \"c\": 416, \"d\": 0}", "seed": "1754646879386692358", "semantic_fingerprint": "sha256:6c2ea37dcd262c29e59ce354ffe529e54c81025e9d08a0a05311e238917a222b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000387", "prompt": "Compute: 2 * 0 + (257 / 56 - 128)", "solution_steps": ["Multiply: 2 * 0 = 0", "Divide: 257 / 56 = 257/56", "Subtract: 257/56 - 128 = -6911/56", "Add: 0 + (-6911/56) = -6911/56"], "final_answer": "-6911/56", "answer_type": "rational", "kind": "expression", "math_text": "2 * 0 + (257 / 56 - 128)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 0, \"c\": 257, \"d\": 56, \"e\": 128}", "seed": "16747721365319023790", "semantic_fingerprint": "sha256:fb171dcbe46ce36c2401a043248f643414d01c6a4d4a818f53aa04afb7f1b700", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000388", "prompt": "What is (9 - 872 - (-96)) * (-8 + (-2))?", "solution_steps": ["Subtract: 9 - 872 = -863", "Subtract: -863 - (-96) = -767", "Add: -8 + (-2) = -10", "Multiply: -767 * (-10) = 7670"], "final_answer": "7670", "answer_type": "integer", "kind": "expression", "math_text": "(9 - 872 - (-96)) * (-8 + (-2))", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 872, \"c\": -96, \"d\": -8, \"e\": -2}", "seed": "4375857294709322296", "semantic_fingerprint": "sha256:f2ce2f17d034f6de3a33fcbee9c25d7d2fd5f309483680b5382d22fb7f752ec3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000389", "prompt": "Calculate: 0 - (-879) / (-26) - (269 - 6 - (-27))", "solution_steps": ["Divide: -879 / (-26) = 879/26", "Subtract: 0 - 879/26 = -879/26", "Subtract: 269 - 6 = 263", "Subtract: 263 - (-27) = 290", "Subtract: -879/26 - 290 = -8419/26"], "final_answer": "-8419/26", "answer_type": "rational", "kind": "expression", "math_text": "0 - (-879) / (-26) - (269 - 6 - (-27))", "variable": null, "family": "expression_5op", "shape": "(- (- n (/ n n)) (- (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -879, \"c\": -26, \"d\": 269, \"e\": 6, \"f\": -27}", "seed": "9832830749775986434", "semantic_fingerprint": "sha256:ff1667e1d79c067b6536cd8dae7892d17695bc4e95f48d4f025ced87584d1e09", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000390", "prompt": "Calculate: (-67 / 7 - (-32) * 42) * (-29)", "solution_steps": ["Divide: -67 / 7 = -67/7", "Multiply: -32 * 42 = -1344", "Subtract: -67/7 - (-1344) = 9341/7", "Multiply: (9341/7) * (-29) = -270889/7"], "final_answer": "-270889/7", "answer_type": "rational", "kind": "expression", "math_text": "(-67 / 7 - (-32) * 42) * (-29)", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": 7, \"c\": -32, \"d\": 42, \"e\": -29}", "seed": "2899251975740337814", "semantic_fingerprint": "sha256:12e28ef2980d72211cf0bc3fa5e06f391e0501031be2c939adb5da9aebf7632a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000391", "prompt": "Solve the equation 6(x - 82) + 21 = 3(x - 39) for x.", "solution_steps": ["Expand: 6x - 492 + 21 = 3(x - 39)", "Expand: 6x - 492 + 21 = 3x - 117", "Combine constants: 6x - 471 = 3x - 117", "Subtract 3x from both sides: 3x - 471 = -117", "Add 471 to both sides: 3x = 354", "Divide both sides by 3: x = 118"], "final_answer": "118", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 82) + 21 = 3(x - 39)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 82, \"c\": 21, \"d\": 3, \"e\": 39}", "seed": "3931564629067913700", "semantic_fingerprint": "sha256:2b2b18338dfc3fe15eea9a9fe8dba89d098289e7d369142a3111ab0928e05bbe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000392", "prompt": "Compute: (82 - 2 + 56) * 5", "solution_steps": ["Subtract: 82 - 2 = 80", "Add: 80 + 56 = 136", "Multiply: 136 * 5 = 680"], "final_answer": "680", "answer_type": "integer", "kind": "expression", "math_text": "(82 - 2 + 56) * 5", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 2, \"c\": 56, \"d\": 5}", "seed": "2078427871275162912", "semantic_fingerprint": "sha256:574e8bfe11c7b46895b5aa92f8164a0172fb8b603377a223b1bce11a95ecd993", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000393", "prompt": "Find x: 11(x - 42) + 865 = 9x + 521", "solution_steps": ["Expand: 11x - 462 + 865 = 9x + 521", "Combine constants: 11x + 403 = 9x + 521", "Subtract 9x from both sides: 2x + 403 = 521", "Subtract 403 from both sides: 2x = 118", "Divide both sides by 2: x = 59"], "final_answer": "59", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 42) + 865 = 9x + 521", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 42, \"c\": 865, \"d\": 9, \"e\": 521}", "seed": "16693551982421862208", "semantic_fingerprint": "sha256:cea074faadbed27ae7654245103e02e9539e111a9ac0b2c75ef934fe069a9911", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000394", "prompt": "Evaluate: (6 + 99) / (5 * 34) - 87", "solution_steps": ["Add: 6 + 99 = 105", "Multiply: 5 * 34 = 170", "Divide: 105 / 170 = 21/34", "Subtract: 21/34 - 87 = -2937/34"], "final_answer": "-2937/34", "answer_type": "rational", "kind": "expression", "math_text": "(6 + 99) / (5 * 34) - 87", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 99, \"c\": 5, \"d\": 34, \"e\": 87}", "seed": "9432354586565861420", "semantic_fingerprint": "sha256:dea37818f3a6e611755cd834be02151314c0ac10efcc47ee2c3a12a3ab82191a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000395", "prompt": "Compute: -7 - 18 * 419 - (-784 + (175 - (-301)))", "solution_steps": ["Multiply: 18 * 419 = 7542", "Subtract: -7 - 7542 = -7549", "Subtract: 175 - (-301) = 476", "Add: -784 + 476 = -308", "Subtract: -7549 - (-308) = -7241"], "final_answer": "-7241", "answer_type": "integer", "kind": "expression", "math_text": "-7 - 18 * 419 - (-784 + (175 - (-301)))", "variable": null, "family": "expression_5op", "shape": "(- (- n (* n n)) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 18, \"c\": 419, \"d\": -784, \"e\": 175, \"f\": -301}", "seed": "6591197091690290288", "semantic_fingerprint": "sha256:a2e6e1ae083cb453af736287424de09b8579f10ebfe23b7be52e05c3b8fdb40d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000396", "prompt": "Find x: 12(x - 237) - 73 = -4(x - 69) - 2", "solution_steps": ["Expand: 12x - 2844 - 73 = -4(x - 69) - 2", "Expand: 12x - 2844 - 73 = -4x + 276 - 2", "Combine constants: 12x - 2917 = -4x + 276 - 2", "Combine constants: 12x - 2917 = -4x + 274", "Add 4x to both sides: 16x - 2917 = 274", "Add 2917 to both sides: 16x = 3191", "Divide both sides by 16: x = 3191/16"], "final_answer": "3191/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 237) - 73 = -4(x - 69) - 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 237, \"c\": 73, \"d\": -4, \"e\": 69, \"f\": 2}", "seed": "17077583606987518921", "semantic_fingerprint": "sha256:f53e05a8c7e7d5fa1226c7a51a89aca3c44b29a0cb4a452c9ad03b54341977a5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000397", "prompt": "Find x: -11(x - 8) - 64 = 12(x - 7) - 99", "solution_steps": ["Expand: -11x + 88 - 64 = 12(x - 7) - 99", "Expand: -11x + 88 - 64 = 12x - 84 - 99", "Combine constants: -11x + 24 = 12x - 84 - 99", "Combine constants: -11x + 24 = 12x - 183", "Subtract 12x from both sides: -23x + 24 = -183", "Subtract 24 from both sides: -23x = -207", "Divide both sides by -23: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 8) - 64 = 12(x - 7) - 99", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 8, \"c\": 64, \"d\": 12, \"e\": 7, \"g\": -99, \"x\": 9}", "seed": "17367089699611822214", "semantic_fingerprint": "sha256:a93b91567d58be685b0c4c85e587bad07b53df7903849dc539a6d07e66bf4ee4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000398", "prompt": "Evaluate: (6 - (-1)) * (-13) * 401", "solution_steps": ["Subtract: 6 - (-1) = 7", "Multiply: 7 * (-13) = -91", "Multiply: -91 * 401 = -36491"], "final_answer": "-36491", "answer_type": "integer", "kind": "expression", "math_text": "(6 - (-1)) * (-13) * 401", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -1, \"c\": -13, \"d\": 401}", "seed": "12076362159432606613", "semantic_fingerprint": "sha256:3b5e6f78be021268d0a9f69792272f51b92f8da25e4096746e91a3f9fa225821", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000399", "prompt": "What is 5 + (-92) / (-26) / (-586 / (-891))?", "solution_steps": ["Divide: -92 / (-26) = 46/13", "Divide: -586 / (-891) = 586/891", "Divide: (46/13) / (586/891) = 20493/3809", "Add: 5 + 20493/3809 = 39538/3809"], "final_answer": "39538/3809", "answer_type": "rational", "kind": "expression", "math_text": "5 + (-92) / (-26) / (-586 / (-891))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (/ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -92, \"c\": -26, \"d\": -586, \"e\": -891}", "seed": "4459920758164519295", "semantic_fingerprint": "sha256:2cd39feecf453acbb4a70dafce19bf22aced2d29fd18badd8c9e93a310b1af07", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000400", "prompt": "Compute: -1 - 9 * (-376) - (-284)", "solution_steps": ["Multiply: 9 * (-376) = -3384", "Subtract: -1 - (-3384) = 3383", "Subtract: 3383 - (-284) = 3667"], "final_answer": "3667", "answer_type": "integer", "kind": "expression", "math_text": "-1 - 9 * (-376) - (-284)", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 9, \"c\": -376, \"d\": -284}", "seed": "17554656770234760404", "semantic_fingerprint": "sha256:21662e4a0f4ada78e7badbffb599731ffed5bcd1fe5805fa70a9862505c7c814", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000401", "prompt": "Compute: -5 * (-1 * 6) * 256 + 838", "solution_steps": ["Multiply: -1 * 6 = -6", "Multiply: -5 * (-6) = 30", "Multiply: 30 * 256 = 7680", "Add: 7680 + 838 = 8518"], "final_answer": "8518", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-1 * 6) * 256 + 838", "variable": null, "family": "expression_4op", "shape": "(+ (* (* n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -1, \"c\": 6, \"d\": 256, \"e\": 838}", "seed": "11520269748374698601", "semantic_fingerprint": "sha256:b8b6f4116dbbfedd18100492b312a76795ee51333da793de2572f145550ecabc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000402", "prompt": "Compute: -410 + 8 / (-13 - (-2))", "solution_steps": ["Subtract: -13 - (-2) = -11", "Divide: 8 / (-11) = -8/11", "Add: -410 + (-8/11) = -4518/11"], "final_answer": "-4518/11", "answer_type": "rational", "kind": "expression", "math_text": "-410 + 8 / (-13 - (-2))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -410, \"b\": 8, \"c\": -13, \"d\": -2}", "seed": "17136425460655367725", "semantic_fingerprint": "sha256:bfe2ef1959f3398288d793b975170947cdc2d581d7f3dd85abd5b66231684492", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000403", "prompt": "Calculate: (-5 - 121) * (-793) + (-9) + (2 - (-987))", "solution_steps": ["Subtract: -5 - 121 = -126", "Multiply: -126 * (-793) = 99918", "Add: 99918 + (-9) = 99909", "Subtract: 2 - (-987) = 989", "Add: 99909 + 989 = 100898"], "final_answer": "100898", "answer_type": "integer", "kind": "expression", "math_text": "(-5 - 121) * (-793) + (-9) + (2 - (-987))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* (- n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 121, \"c\": -793, \"d\": -9, \"e\": 2, \"f\": -987}", "seed": "10207354408407980159", "semantic_fingerprint": "sha256:2dc94935bc4699957f42b1b3109d5aa14235715286a318ba08755eddc773f6ff", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000404", "prompt": "What value of x satisfies 8(x - 14) - 960 = 2(x - 35) - 954?", "solution_steps": ["Expand: 8x - 112 - 960 = 2(x - 35) - 954", "Expand: 8x - 112 - 960 = 2x - 70 - 954", "Combine constants: 8x - 1072 = 2x - 70 - 954", "Combine constants: 8x - 1072 = 2x - 1024", "Subtract 2x from both sides: 6x - 1072 = -1024", "Add 1072 to both sides: 6x = 48", "Divide both sides by 6: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 14) - 960 = 2(x - 35) - 954", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 14, \"c\": 960, \"d\": 2, \"e\": 35, \"g\": -954, \"x\": 8}", "seed": "5957398762028765024", "semantic_fingerprint": "sha256:0a68ffcd51a8f59137c91ef7e8e2c33efa7737dc549cd030d38adb4a2c12d9fc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000405", "prompt": "What is (4 - 214) / (79 * 52)?", "solution_steps": ["Subtract: 4 - 214 = -210", "Multiply: 79 * 52 = 4108", "Divide: -210 / 4108 = -105/2054"], "final_answer": "-105/2054", "answer_type": "rational", "kind": "expression", "math_text": "(4 - 214) / (79 * 52)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 214, \"c\": 79, \"d\": 52}", "seed": "7590991635227088357", "semantic_fingerprint": "sha256:43bd33da7dd0717b8f30c80601e12320694417828f294c8c75f2211fdb0ff78b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000406", "prompt": "Calculate: -2 / (-37 - 47 - 6)", "solution_steps": ["Subtract: -37 - 47 = -84", "Subtract: -84 - 6 = -90", "Divide: -2 / (-90) = 1/45"], "final_answer": "1/45", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-37 - 47 - 6)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -37, \"c\": 47, \"d\": 6}", "seed": "11855590797282330405", "semantic_fingerprint": "sha256:0138deacbd86a9b9f39edd668f3f9af7e39ce200867c432f4f888f7117b75e8e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000407", "prompt": "Solve for x: 7(x - 1) - 57 = -3(x - 85) - 509", "solution_steps": ["Expand: 7x - 7 - 57 = -3(x - 85) - 509", "Expand: 7x - 7 - 57 = -3x + 255 - 509", "Combine constants: 7x - 64 = -3x + 255 - 509", "Combine constants: 7x - 64 = -3x - 254", "Add 3x to both sides: 10x - 64 = -254", "Add 64 to both sides: 10x = -190", "Divide both sides by 10: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 1) - 57 = -3(x - 85) - 509", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 1, \"c\": 57, \"d\": -3, \"e\": 85, \"g\": -509, \"x\": -19}", "seed": "1261915532331845702", "semantic_fingerprint": "sha256:2b1619312816f117e9d129368b3023e75d498218dc70cc5adff4e6beeb3421f1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000408", "prompt": "Compute: 5 * (442 * (-77)) - 79", "solution_steps": ["Multiply: 442 * (-77) = -34034", "Multiply: 5 * (-34034) = -170170", "Subtract: -170170 - 79 = -170249"], "final_answer": "-170249", "answer_type": "integer", "kind": "expression", "math_text": "5 * (442 * (-77)) - 79", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 442, \"c\": -77, \"d\": 79}", "seed": "12548119266916512599", "semantic_fingerprint": "sha256:99732d004a6e0f0fd8aefd5244270789d5108c8eee4c069af371a96c771f1e1c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000409", "prompt": "Calculate: (960 + (-6)) * (-69 / (-17) / (-9 * 15))", "solution_steps": ["Add: 960 + (-6) = 954", "Divide: -69 / (-17) = 69/17", "Multiply: -9 * 15 = -135", "Divide: (69/17) / (-135) = -23/765", "Multiply: 954 * (-23/765) = -2438/85"], "final_answer": "-2438/85", "answer_type": "rational", "kind": "expression", "math_text": "(960 + (-6)) * (-69 / (-17) / (-9 * 15))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (/ (/ n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 960, \"b\": -6, \"c\": -69, \"d\": -17, \"e\": -9, \"f\": 15}", "seed": "18333170969277095757", "semantic_fingerprint": "sha256:812306dc0ea650d545b80e7ceb64c392fb2bdbf7dbf95efbdebf7a94fb72824b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000410", "prompt": "Compute: -756 + 721 / (-95 - 78)", "solution_steps": ["Subtract: -95 - 78 = -173", "Divide: 721 / (-173) = -721/173", "Add: -756 + (-721/173) = -131509/173"], "final_answer": "-131509/173", "answer_type": "rational", "kind": "expression", "math_text": "-756 + 721 / (-95 - 78)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -756, \"b\": 721, \"c\": -95, \"d\": 78}", "seed": "16364788032500197541", "semantic_fingerprint": "sha256:977903d1829f66857baa0319c5d7114b0cebc18cbca3bd51640fede950138037", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000411", "prompt": "What value of x satisfies x - 441 = 8(x - 877) + 74?", "solution_steps": ["Expand: x - 441 = 8x - 7016 + 74", "Combine constants: x - 441 = 8x - 6942", "Subtract 8x from both sides: -7x - 441 = -6942", "Add 441 to both sides: -7x = -6501", "Divide both sides by -7: x = 6501/7"], "final_answer": "6501/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 441 = 8(x - 877) + 74", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 441, \"b\": 8, \"c\": 877, \"d\": 74}", "seed": "15959912640437714494", "semantic_fingerprint": "sha256:eebe194f92bea854e78da7e413096296a3767781f636e6dbee8da5dbe89122c1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000412", "prompt": "Solve for x: 6(x - 5) - 6 = 3(x - 17)", "solution_steps": ["Expand: 6x - 30 - 6 = 3(x - 17)", "Expand: 6x - 30 - 6 = 3x - 51", "Combine constants: 6x - 36 = 3x - 51", "Subtract 3x from both sides: 3x - 36 = -51", "Add 36 to both sides: 3x = -15", "Divide both sides by 3: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 5) - 6 = 3(x - 17)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 3, \"d\": 17, \"f\": -6, \"x\": -5}", "seed": "5917740095207621921", "semantic_fingerprint": "sha256:28011d7946373cac5ef0bc10c8465627366e217ffbf1bb9d6329c57d8d377865", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000413", "prompt": "Solve the equation 8(x - 8) + 71 = 6(x + 2) - 15 for x.", "solution_steps": ["Expand: 8x - 64 + 71 = 6(x + 2) - 15", "Expand: 8x - 64 + 71 = 6x + 12 - 15", "Combine constants: 8x + 7 = 6x + 12 - 15", "Combine constants: 8x + 7 = 6x - 3", "Subtract 6x from both sides: 2x + 7 = -3", "Subtract 7 from both sides: 2x = -10", "Divide both sides by 2: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 8) + 71 = 6(x + 2) - 15", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": 71, \"d\": 6, \"e\": 2, \"g\": -15, \"x\": -5}", "seed": "10794742390780317218", "semantic_fingerprint": "sha256:29f1a3387c1c53f7ab67f820e1b9937d0506551015fa42f8f0b8583f69899d70", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000414", "prompt": "Compute: -5 + (-65 * (-8) + (-6)) - (972 + (-7))", "solution_steps": ["Multiply: -65 * (-8) = 520", "Add: 520 + (-6) = 514", "Add: -5 + 514 = 509", "Add: 972 + (-7) = 965", "Subtract: 509 - 965 = -456"], "final_answer": "-456", "answer_type": "integer", "kind": "expression", "math_text": "-5 + (-65 * (-8) + (-6)) - (972 + (-7))", "variable": null, "family": "expression_5op", "shape": "(- (+ n (+ (* n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -65, \"c\": -8, \"d\": -6, \"e\": 972, \"f\": -7}", "seed": "9539916442799625779", "semantic_fingerprint": "sha256:ab91edf2c5d4089f5aecae4c6cfb07a043c3d3731de6cd3391c714ff55fa51ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000415", "prompt": "Find x: -5(x + 6) + 6 = -2(x + 6) - 69", "solution_steps": ["Expand: -5x - 30 + 6 = -2(x + 6) - 69", "Expand: -5x - 30 + 6 = -2x - 12 - 69", "Combine constants: -5x - 24 = -2x - 12 - 69", "Combine constants: -5x - 24 = -2x - 81", "Add 2x to both sides: -3x - 24 = -81", "Add 24 to both sides: -3x = -57", "Divide both sides by -3: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 6) + 6 = -2(x + 6) - 69", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 6, \"c\": 6, \"d\": -2, \"e\": 6, \"g\": -69, \"x\": 19}", "seed": "18370998698455275505", "semantic_fingerprint": "sha256:eae1b3a9579a6179d9159793ff7e09b5c68e103f6ff89ff60b3179832ae5a66d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000416", "prompt": "Calculate: (47 - 52) * 45 * (-78)", "solution_steps": ["Subtract: 47 - 52 = -5", "Multiply: -5 * 45 = -225", "Multiply: -225 * (-78) = 17550"], "final_answer": "17550", "answer_type": "integer", "kind": "expression", "math_text": "(47 - 52) * 45 * (-78)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": 52, \"c\": 45, \"d\": -78}", "seed": "9876826747469641139", "semantic_fingerprint": "sha256:18af96964657de70500d19af4a0257e96464833c540d1160f9b296c9ca17977a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000417", "prompt": "Compute: (8 * (-1) + 9 - 6) * 389 - (-15)", "solution_steps": ["Multiply: 8 * (-1) = -8", "Add: -8 + 9 = 1", "Subtract: 1 - 6 = -5", "Multiply: -5 * 389 = -1945", "Subtract: -1945 - (-15) = -1930"], "final_answer": "-1930", "answer_type": "integer", "kind": "expression", "math_text": "(8 * (-1) + 9 - 6) * 389 - (-15)", "variable": null, "family": "expression_5op", "shape": "(- (* (- (+ (* n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -1, \"c\": 9, \"d\": 6, \"e\": 389, \"f\": -15}", "seed": "14546140972844315445", "semantic_fingerprint": "sha256:a9d774cbe23af6dca7b90dc44443570134bee1da2c2925c2e02cc70c4ad24f36", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000418", "prompt": "Solve the equation x - 555 = 11(x - 7) + 40 for x.", "solution_steps": ["Expand: x - 555 = 11x - 77 + 40", "Combine constants: x - 555 = 11x - 37", "Subtract 11x from both sides: -10x - 555 = -37", "Add 555 to both sides: -10x = 518", "Divide both sides by -10: x = -259/5"], "final_answer": "-259/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 555 = 11(x - 7) + 40", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 555, \"b\": 11, \"c\": 7, \"d\": 40}", "seed": "14511928260259899352", "semantic_fingerprint": "sha256:d387a1e4f664b37ecfb8829f9349fb76adf4095e36be412758350691e4bb4af6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000419", "prompt": "Solve for x: 3(x - 305) - 6 = 8(x - 4) - 770", "solution_steps": ["Expand: 3x - 915 - 6 = 8(x - 4) - 770", "Expand: 3x - 915 - 6 = 8x - 32 - 770", "Combine constants: 3x - 921 = 8x - 32 - 770", "Combine constants: 3x - 921 = 8x - 802", "Subtract 8x from both sides: -5x - 921 = -802", "Add 921 to both sides: -5x = 119", "Divide both sides by -5: x = -119/5"], "final_answer": "-119/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 305) - 6 = 8(x - 4) - 770", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 305, \"c\": 6, \"d\": 8, \"e\": 4, \"f\": 770}", "seed": "3594752366025883144", "semantic_fingerprint": "sha256:4e3dda164360e525f37e77f5f670da938e0e37006249324cd22e3f8a10d8113a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000420", "prompt": "Calculate: (505 - (-93)) / (42 - 127 * (-1))", "solution_steps": ["Subtract: 505 - (-93) = 598", "Multiply: 127 * (-1) = -127", "Subtract: 42 - (-127) = 169", "Divide: 598 / 169 = 46/13"], "final_answer": "46/13", "answer_type": "rational", "kind": "expression", "math_text": "(505 - (-93)) / (42 - 127 * (-1))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 505, \"b\": -93, \"c\": 42, \"d\": 127, \"e\": -1}", "seed": "4198166428092550116", "semantic_fingerprint": "sha256:d56f91302f4b5ecb12dfa03c41c60cc41395ef76cd4109ed8878924d70b7a458", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000421", "prompt": "Compute: (9 / (-389) - (-452)) / (-28) * 6", "solution_steps": ["Divide: 9 / (-389) = -9/389", "Subtract: -9/389 - (-452) = 175819/389", "Divide: (175819/389) / (-28) = -25117/1556", "Multiply: (-25117/1556) * 6 = -75351/778"], "final_answer": "-75351/778", "answer_type": "rational", "kind": "expression", "math_text": "(9 / (-389) - (-452)) / (-28) * 6", "variable": null, "family": "expression_4op", "shape": "(* (/ (- (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -389, \"c\": -452, \"d\": -28, \"e\": 6}", "seed": "9167684277539796424", "semantic_fingerprint": "sha256:63a28bdc9c697d50902dbd198595173c5237a3d17fb039a417abf91d5591b504", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000422", "prompt": "Evaluate: 91 / (3 / (-89 - 8)) + (-5)", "solution_steps": ["Subtract: -89 - 8 = -97", "Divide: 3 / (-97) = -3/97", "Divide: 91 / (-3/97) = -8827/3", "Add: -8827/3 + (-5) = -8842/3"], "final_answer": "-8842/3", "answer_type": "rational", "kind": "expression", "math_text": "91 / (3 / (-89 - 8)) + (-5)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (/ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": 3, \"c\": -89, \"d\": 8, \"e\": -5}", "seed": "17638845274183280657", "semantic_fingerprint": "sha256:43b9d2d0873226ab438b1ff3dd9cb8a2b26b4a66745604d2c5d33ec2b5bb232d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000423", "prompt": "What is -41 - (-618 + 7) + (-5)?", "solution_steps": ["Add: -618 + 7 = -611", "Subtract: -41 - (-611) = 570", "Add: 570 + (-5) = 565"], "final_answer": "565", "answer_type": "integer", "kind": "expression", "math_text": "-41 - (-618 + 7) + (-5)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": -618, \"c\": 7, \"d\": -5}", "seed": "17862839418359429702", "semantic_fingerprint": "sha256:f64a823657afb0b28f42286662637885edebec70f729935bed5f845a04c885df", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000424", "prompt": "What value of x satisfies 3(x + 76) - 365 = x - 934?", "solution_steps": ["Expand: 3x + 228 - 365 = x - 934", "Combine constants: 3x - 137 = x - 934", "Subtract x from both sides: 2x - 137 = -934", "Add 137 to both sides: 2x = -797", "Divide both sides by 2: x = -797/2"], "final_answer": "-797/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 76) - 365 = x - 934", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 76, \"c\": 365, \"d\": 934}", "seed": "3163718952662507911", "semantic_fingerprint": "sha256:b695e9b1d4f9082efb7e1ae9e760674700a372ae728788609fe9eb051023912d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000425", "prompt": "Calculate: (-816 + (-2) + (-694)) * 173", "solution_steps": ["Add: -816 + (-2) = -818", "Add: -818 + (-694) = -1512", "Multiply: -1512 * 173 = -261576"], "final_answer": "-261576", "answer_type": "integer", "kind": "expression", "math_text": "(-816 + (-2) + (-694)) * 173", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -816, \"b\": -2, \"c\": -694, \"d\": 173}", "seed": "5449822790775625359", "semantic_fingerprint": "sha256:338fcf96353105d92c827a62cefe7477d8f1836900a5e1c346985e07366eea70", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000426", "prompt": "Compute: (-4 - (-37) / (-8)) / 215", "solution_steps": ["Divide: -37 / (-8) = 37/8", "Subtract: -4 - 37/8 = -69/8", "Divide: (-69/8) / 215 = -69/1720"], "final_answer": "-69/1720", "answer_type": "rational", "kind": "expression", "math_text": "(-4 - (-37) / (-8)) / 215", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -37, \"c\": -8, \"d\": 215}", "seed": "15797051080100804362", "semantic_fingerprint": "sha256:4ab927f77235318531c5d003ae161a5ceefa1f1b21d520eecb3c56714172b63e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000427", "prompt": "Evaluate: -80 + (-6) - (-2 + (-5))", "solution_steps": ["Add: -80 + (-6) = -86", "Add: -2 + (-5) = -7", "Subtract: -86 - (-7) = -79"], "final_answer": "-79", "answer_type": "integer", "kind": "expression", "math_text": "-80 + (-6) - (-2 + (-5))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": -6, \"c\": -2, \"d\": -5}", "seed": "4852602084948806712", "semantic_fingerprint": "sha256:2c6db9d1e71d9c704c7f5f233e95e4709ff1addb5f8b778d0b7d74bc0608bd00", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000428", "prompt": "Compute: -91 / (-7 - (-8) - 52)", "solution_steps": ["Subtract: -7 - (-8) = 1", "Subtract: 1 - 52 = -51", "Divide: -91 / (-51) = 91/51"], "final_answer": "91/51", "answer_type": "rational", "kind": "expression", "math_text": "-91 / (-7 - (-8) - 52)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -7, \"c\": -8, \"d\": 52}", "seed": "16872637441816825546", "semantic_fingerprint": "sha256:0ca40618c1599a83209ebd2f7edbf08692064cf68c2f23cebe10453584291777", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000429", "prompt": "What value of x satisfies 12(x - 68) + 227 = 2(x + 4) - 537?", "solution_steps": ["Expand: 12x - 816 + 227 = 2(x + 4) - 537", "Expand: 12x - 816 + 227 = 2x + 8 - 537", "Combine constants: 12x - 589 = 2x + 8 - 537", "Combine constants: 12x - 589 = 2x - 529", "Subtract 2x from both sides: 10x - 589 = -529", "Add 589 to both sides: 10x = 60", "Divide both sides by 10: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 68) + 227 = 2(x + 4) - 537", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 68, \"c\": 227, \"d\": 2, \"e\": 4, \"g\": -537, \"x\": 6}", "seed": "16087767363625954734", "semantic_fingerprint": "sha256:f2b97958f0c676fad02cf4c21b77e3d89a607942e045262d411d3236d5821ba8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000430", "prompt": "What is 40 + (-48) / (-63 - 4)?", "solution_steps": ["Subtract: -63 - 4 = -67", "Divide: -48 / (-67) = 48/67", "Add: 40 + 48/67 = 2728/67"], "final_answer": "2728/67", "answer_type": "rational", "kind": "expression", "math_text": "40 + (-48) / (-63 - 4)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -48, \"c\": -63, \"d\": 4}", "seed": "10441680251703074928", "semantic_fingerprint": "sha256:dc4767ab2db1617febfa7c031d6d011b3e9dcf56cb06b033427aec82a5ee1829", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000431", "prompt": "Evaluate: -1 / 160 + 750 / 99", "solution_steps": ["Divide: -1 / 160 = -1/160", "Divide: 750 / 99 = 250/33", "Add: -1/160 + 250/33 = 39967/5280"], "final_answer": "39967/5280", "answer_type": "rational", "kind": "expression", "math_text": "-1 / 160 + 750 / 99", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 160, \"c\": 750, \"d\": 99}", "seed": "14329181802880885776", "semantic_fingerprint": "sha256:ef6794984d65728afe91ea66a031277bb98dda412ebc39e63ceaa758c483f95e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000432", "prompt": "Compute: 25 / 3 + (-3) / 91", "solution_steps": ["Divide: 25 / 3 = 25/3", "Divide: -3 / 91 = -3/91", "Add: 25/3 + (-3/91) = 2266/273"], "final_answer": "2266/273", "answer_type": "rational", "kind": "expression", "math_text": "25 / 3 + (-3) / 91", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": 3, \"c\": -3, \"d\": 91}", "seed": "13101004009866192771", "semantic_fingerprint": "sha256:1a9611a3a76235098a14bfdab0fbd03080ad0f71d904e3ba47dc018300763a10", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000433", "prompt": "Compute: -6 / (72 - 6 - 0)", "solution_steps": ["Subtract: 72 - 6 = 66", "Subtract: 66 - 0 = 66", "Divide: -6 / 66 = -1/11"], "final_answer": "-1/11", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (72 - 6 - 0)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 72, \"c\": 6, \"d\": 0}", "seed": "11456276530614304653", "semantic_fingerprint": "sha256:b2a58e0e0065a226a4e3afa7aab7e93fe45ad3078491d20ad82ff408c545f11e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000434", "prompt": "What is 63 + (-552) - 1 / (65 - (-4))?", "solution_steps": ["Add: 63 + (-552) = -489", "Subtract: 65 - (-4) = 69", "Divide: 1 / 69 = 1/69", "Subtract: -489 - 1/69 = -33742/69"], "final_answer": "-33742/69", "answer_type": "rational", "kind": "expression", "math_text": "63 + (-552) - 1 / (65 - (-4))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -552, \"c\": 1, \"d\": 65, \"e\": -4}", "seed": "10390896293071661043", "semantic_fingerprint": "sha256:25f93cf78297935b4665318c0b4f9c4ff1603ec522a9f1d5330ca99cb0ec1228", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000435", "prompt": "What value of x satisfies -11(x - 425) - 6 = -7(x - 133) - 60?", "solution_steps": ["Expand: -11x + 4675 - 6 = -7(x - 133) - 60", "Expand: -11x + 4675 - 6 = -7x + 931 - 60", "Combine constants: -11x + 4669 = -7x + 931 - 60", "Combine constants: -11x + 4669 = -7x + 871", "Add 7x to both sides: -4x + 4669 = 871", "Subtract 4669 from both sides: -4x = -3798", "Divide both sides by -4: x = 1899/2"], "final_answer": "1899/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 425) - 6 = -7(x - 133) - 60", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 425, \"c\": 6, \"d\": -7, \"e\": 133, \"f\": 60}", "seed": "6144068931042468832", "semantic_fingerprint": "sha256:a05c307ea48faba449216e7cb83044a504fd5e62f8a945ed93fa9f2d12f8f7e0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000436", "prompt": "Solve the equation 5(x - 79) + 363 = 3(x - 6) for x.", "solution_steps": ["Expand: 5x - 395 + 363 = 3(x - 6)", "Expand: 5x - 395 + 363 = 3x - 18", "Combine constants: 5x - 32 = 3x - 18", "Subtract 3x from both sides: 2x - 32 = -18", "Add 32 to both sides: 2x = 14", "Divide both sides by 2: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 79) + 363 = 3(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 79, \"c\": 3, \"d\": 6, \"f\": 363, \"x\": 7}", "seed": "2115840076333355484", "semantic_fingerprint": "sha256:420fcbda35936d5babdb690c597845ad8c58b63ba923282fcd953bcb8a9668a4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000437", "prompt": "What is (71 - 50) * (-64) * (-53)?", "solution_steps": ["Subtract: 71 - 50 = 21", "Multiply: 21 * (-64) = -1344", "Multiply: -1344 * (-53) = 71232"], "final_answer": "71232", "answer_type": "integer", "kind": "expression", "math_text": "(71 - 50) * (-64) * (-53)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 50, \"c\": -64, \"d\": -53}", "seed": "17676643481797431897", "semantic_fingerprint": "sha256:27edf833985515fde48408a7c98e70e215a579241645966831f2acbafb75e599", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000438", "prompt": "What is 810 * (-4 + (-9 - 4) + (-1))?", "solution_steps": ["Subtract: -9 - 4 = -13", "Add: -4 + (-13) = -17", "Add: -17 + (-1) = -18", "Multiply: 810 * (-18) = -14580"], "final_answer": "-14580", "answer_type": "integer", "kind": "expression", "math_text": "810 * (-4 + (-9 - 4) + (-1))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (+ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 810, \"b\": -4, \"c\": -9, \"d\": 4, \"e\": -1}", "seed": "5363172160003676483", "semantic_fingerprint": "sha256:f0df0368b70b4462ae25168d1b33987f6a2249d02ae2d31836cffae3a2bc8d10", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000439", "prompt": "What is -330 - 30 * (42 - 649) + (-891)?", "solution_steps": ["Subtract: 42 - 649 = -607", "Multiply: 30 * (-607) = -18210", "Subtract: -330 - (-18210) = 17880", "Add: 17880 + (-891) = 16989"], "final_answer": "16989", "answer_type": "integer", "kind": "expression", "math_text": "-330 - 30 * (42 - 649) + (-891)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -330, \"b\": 30, \"c\": 42, \"d\": 649, \"e\": -891}", "seed": "7359841928078730814", "semantic_fingerprint": "sha256:064affa1b08cc749ed0d477fe6172fdb96efbf90a4965413255b4b7d6eed176d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000440", "prompt": "What value of x satisfies -3(x + 30) - 5 = x - 63?", "solution_steps": ["Expand: -3x - 90 - 5 = x - 63", "Combine constants: -3x - 95 = x - 63", "Subtract x from both sides: -4x - 95 = -63", "Add 95 to both sides: -4x = 32", "Divide both sides by -4: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 30) - 5 = x - 63", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 30, \"c\": 5, \"e\": -63, \"x\": -8}", "seed": "18001355524847724404", "semantic_fingerprint": "sha256:5bd5254f2dc7f6d3b531690b8dc96b5889246b9afa6b36b5ee439b56834c51a6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000441", "prompt": "What is 623 + (-4) - (-81) + (-76)?", "solution_steps": ["Add: 623 + (-4) = 619", "Subtract: 619 - (-81) = 700", "Add: 700 + (-76) = 624"], "final_answer": "624", "answer_type": "integer", "kind": "expression", "math_text": "623 + (-4) - (-81) + (-76)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 623, \"b\": -4, \"c\": -81, \"d\": -76}", "seed": "7228236528716140408", "semantic_fingerprint": "sha256:c0118e1af5e746b07b61019a8a4299b849b49fcae4e9d85c30321445220b897a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000442", "prompt": "Find x: 12(x + 6) - 791 = x - 741", "solution_steps": ["Expand: 12x + 72 - 791 = x - 741", "Combine constants: 12x - 719 = x - 741", "Subtract x from both sides: 11x - 719 = -741", "Add 719 to both sides: 11x = -22", "Divide both sides by 11: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 6) - 791 = x - 741", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 6, \"c\": 791, \"e\": -741, \"x\": -2}", "seed": "3721204293859441287", "semantic_fingerprint": "sha256:e2f6ae3c4c4449876b60a572bba602f0f14dcd73413c5bdbfbc3582b08401fe3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000443", "prompt": "Find x: 12(x - 3) - 871 = 3(x - 55) - 670", "solution_steps": ["Expand: 12x - 36 - 871 = 3(x - 55) - 670", "Expand: 12x - 36 - 871 = 3x - 165 - 670", "Combine constants: 12x - 907 = 3x - 165 - 670", "Combine constants: 12x - 907 = 3x - 835", "Subtract 3x from both sides: 9x - 907 = -835", "Add 907 to both sides: 9x = 72", "Divide both sides by 9: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 3) - 871 = 3(x - 55) - 670", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 3, \"c\": 871, \"d\": 3, \"e\": 55, \"g\": -670, \"x\": 8}", "seed": "14303982070366854738", "semantic_fingerprint": "sha256:17ee58d09ba0f7951247fd0dfde61a8505273ba8d6c6b2a109f3331b45adc3e6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000444", "prompt": "Solve the equation -6(x - 13) = -9x - 396 for x.", "solution_steps": ["Expand: -6x + 78 = -9x - 396", "Add 9x to both sides: 3x + 78 = -396", "Subtract 78 from both sides: 3x = -474", "Divide both sides by 3: x = -158"], "final_answer": "-158", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 13) = -9x - 396", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 13, \"c\": -9, \"d\": 396}", "seed": "3401722414580591898", "semantic_fingerprint": "sha256:eb03d430f970a5ded09fbed7b304fbab63b876c3f903d350a168faa0ffee883d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000445", "prompt": "Solve for x: -9(x + 6) - 6 = x - 150", "solution_steps": ["Expand: -9x - 54 - 6 = x - 150", "Combine constants: -9x - 60 = x - 150", "Subtract x from both sides: -10x - 60 = -150", "Add 60 to both sides: -10x = -90", "Divide both sides by -10: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 6) - 6 = x - 150", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 6, \"c\": 6, \"e\": -150, \"x\": 9}", "seed": "7380759071188592058", "semantic_fingerprint": "sha256:3d80d1d5d2b966b6fbcb6ef005c57cb86e4e3fdf349c14b93e0181e5dcb75acc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000446", "prompt": "Solve the equation -6(x + 8) - 753 = x - 668 for x.", "solution_steps": ["Expand: -6x - 48 - 753 = x - 668", "Combine constants: -6x - 801 = x - 668", "Subtract x from both sides: -7x - 801 = -668", "Add 801 to both sides: -7x = 133", "Divide both sides by -7: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 8) - 753 = x - 668", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 8, \"c\": 753, \"e\": -668, \"x\": -19}", "seed": "2024811875702381717", "semantic_fingerprint": "sha256:1eb6741c574c7fb73e3643b02330c6d40ef57c3e1ea1844f80b97515e73798fe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000447", "prompt": "Calculate: -37 / 79 + 0 - 68 / 69", "solution_steps": ["Divide: -37 / 79 = -37/79", "Add: -37/79 + 0 = -37/79", "Divide: 68 / 69 = 68/69", "Subtract: -37/79 - 68/69 = -7925/5451"], "final_answer": "-7925/5451", "answer_type": "rational", "kind": "expression", "math_text": "-37 / 79 + 0 - 68 / 69", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": 79, \"c\": 0, \"d\": 68, \"e\": 69}", "seed": "7328176075468405255", "semantic_fingerprint": "sha256:54593f7d5b74f36580a89caedc70839f9e0a59c8a6dcdd3878435135d9a2f1de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000448", "prompt": "Compute: (71 + 6 + (-456)) * (-63)", "solution_steps": ["Add: 71 + 6 = 77", "Add: 77 + (-456) = -379", "Multiply: -379 * (-63) = 23877"], "final_answer": "23877", "answer_type": "integer", "kind": "expression", "math_text": "(71 + 6 + (-456)) * (-63)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 6, \"c\": -456, \"d\": -63}", "seed": "3101699430869498695", "semantic_fingerprint": "sha256:544aa160137540498943b89afcda75004a8bf1ec1a4e9be47394c2ea1f291d64", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000449", "prompt": "What is 4 + (-4) - 7 / (-123) * 4 / 74?", "solution_steps": ["Add: 4 + (-4) = 0", "Divide: 7 / (-123) = -7/123", "Multiply: (-7/123) * 4 = -28/123", "Divide: (-28/123) / 74 = -14/4551", "Subtract: 0 - (-14/4551) = 14/4551"], "final_answer": "14/4551", "answer_type": "rational", "kind": "expression", "math_text": "4 + (-4) - 7 / (-123) * 4 / 74", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (/ (* (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -4, \"c\": 7, \"d\": -123, \"e\": 4, \"f\": 74}", "seed": "12999046818691474510", "semantic_fingerprint": "sha256:9f33722c0f7959260040f38328534c5a7ecc48c6a01355ab9e88459f8db3762c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000450", "prompt": "Calculate: 2 + (-795 / (-37) + (-1 + (-87)))", "solution_steps": ["Divide: -795 / (-37) = 795/37", "Add: -1 + (-87) = -88", "Add: 795/37 + (-88) = -2461/37", "Add: 2 + (-2461/37) = -2387/37"], "final_answer": "-2387/37", "answer_type": "rational", "kind": "expression", "math_text": "2 + (-795 / (-37) + (-1 + (-87)))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -795, \"c\": -37, \"d\": -1, \"e\": -87}", "seed": "13109694236636144651", "semantic_fingerprint": "sha256:8e0ee29a3a835ce0d4a5c08ba6b5c9549eb5fe7cf053e80895247eeeb8eedc6b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000451", "prompt": "Calculate: -44 - (-4) / (63 * (-6))", "solution_steps": ["Multiply: 63 * (-6) = -378", "Divide: -4 / (-378) = 2/189", "Subtract: -44 - 2/189 = -8318/189"], "final_answer": "-8318/189", "answer_type": "rational", "kind": "expression", "math_text": "-44 - (-4) / (63 * (-6))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -4, \"c\": 63, \"d\": -6}", "seed": "15707942301469445161", "semantic_fingerprint": "sha256:eb05394be31e8d2f45c637f697f1277d33069f18a6b4412ae1da81c6b9cced72", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000452", "prompt": "Compute: (4 / (-81) + (-85 - (-5))) * (19 - 88)", "solution_steps": ["Divide: 4 / (-81) = -4/81", "Subtract: -85 - (-5) = -80", "Add: -4/81 + (-80) = -6484/81", "Subtract: 19 - 88 = -69", "Multiply: (-6484/81) * (-69) = 149132/27"], "final_answer": "149132/27", "answer_type": "rational", "kind": "expression", "math_text": "(4 / (-81) + (-85 - (-5))) * (19 - 88)", "variable": null, "family": "expression_5op", "shape": "(* (+ (/ n n) (- n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -81, \"c\": -85, \"d\": -5, \"e\": 19, \"f\": 88}", "seed": "6946940006769894784", "semantic_fingerprint": "sha256:73029ca7066cf67b7fa8c2b0bf581f0ed52af0a8f136cca6bf8d447c2b133eb0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000453", "prompt": "Evaluate: (95 - 628 * (-118) + (60 - (-10))) * (-8)", "solution_steps": ["Multiply: 628 * (-118) = -74104", "Subtract: 95 - (-74104) = 74199", "Subtract: 60 - (-10) = 70", "Add: 74199 + 70 = 74269", "Multiply: 74269 * (-8) = -594152"], "final_answer": "-594152", "answer_type": "integer", "kind": "expression", "math_text": "(95 - 628 * (-118) + (60 - (-10))) * (-8)", "variable": null, "family": "expression_5op", "shape": "(* (+ (- n (* n n)) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": 628, \"c\": -118, \"d\": 60, \"e\": -10, \"f\": -8}", "seed": "9165997161763748383", "semantic_fingerprint": "sha256:cd610983c655cb814870599369a373bc194d57fe364a683073fb08655b29f938", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000454", "prompt": "Compute: (70 / (-8) + (-58)) * 0", "solution_steps": ["Divide: 70 / (-8) = -35/4", "Add: -35/4 + (-58) = -267/4", "Multiply: (-267/4) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(70 / (-8) + (-58)) * 0", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -8, \"c\": -58, \"d\": 0}", "seed": "17391336846116905500", "semantic_fingerprint": "sha256:ccdf0e3531983a33d1f5286d34f5d20bb6d13143fdd3772604fbbf0169384db8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000455", "prompt": "Calculate: (-671 - 5) * (-5 / 4)", "solution_steps": ["Subtract: -671 - 5 = -676", "Divide: -5 / 4 = -5/4", "Multiply: -676 * (-5/4) = 845"], "final_answer": "845", "answer_type": "integer", "kind": "expression", "math_text": "(-671 - 5) * (-5 / 4)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -671, \"b\": 5, \"c\": -5, \"d\": 4}", "seed": "15092328538449389125", "semantic_fingerprint": "sha256:d9b3d1ba6f9e78e80cf830d8a2d253044c019c771b896f961c6ee589873b48b0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000456", "prompt": "What is -7 * ((94 - 58) * 82 + (-7))?", "solution_steps": ["Subtract: 94 - 58 = 36", "Multiply: 36 * 82 = 2952", "Add: 2952 + (-7) = 2945", "Multiply: -7 * 2945 = -20615"], "final_answer": "-20615", "answer_type": "integer", "kind": "expression", "math_text": "-7 * ((94 - 58) * 82 + (-7))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (* (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 94, \"c\": 58, \"d\": 82, \"e\": -7}", "seed": "17161912372016018422", "semantic_fingerprint": "sha256:0001f17496556e37cec10d30853e1b88456ed4281e6c1f775147e32e851287cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000457", "prompt": "What value of x satisfies 5(x - 90) + 451 = 7(x + 9) - 8?", "solution_steps": ["Expand: 5x - 450 + 451 = 7(x + 9) - 8", "Expand: 5x - 450 + 451 = 7x + 63 - 8", "Combine constants: 5x + 1 = 7x + 63 - 8", "Combine constants: 5x + 1 = 7x + 55", "Subtract 7x from both sides: -2x + 1 = 55", "Subtract 1 from both sides: -2x = 54", "Divide both sides by -2: x = -27"], "final_answer": "-27", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 90) + 451 = 7(x + 9) - 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 90, \"c\": 451, \"d\": 7, \"e\": 9, \"f\": 8}", "seed": "8957662609583911224", "semantic_fingerprint": "sha256:89d81b82bfcc2a24dad8cfe931e999cc88e80e20fc78cd76de9f8741a15195a6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000458", "prompt": "Solve the equation -4(x - 68) - 736 = 9(x - 79) for x.", "solution_steps": ["Expand: -4x + 272 - 736 = 9(x - 79)", "Expand: -4x + 272 - 736 = 9x - 711", "Combine constants: -4x - 464 = 9x - 711", "Subtract 9x from both sides: -13x - 464 = -711", "Add 464 to both sides: -13x = -247", "Divide both sides by -13: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 68) - 736 = 9(x - 79)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 68, \"c\": 9, \"d\": 79, \"f\": -736, \"x\": 19}", "seed": "7473960781027948848", "semantic_fingerprint": "sha256:5b6a6d524ba73a21c8ea6f0f40f8fbe908436569f02584b5723c61446b9f8a00", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000459", "prompt": "Calculate: 382 * 365 / (-3 + (-9))", "solution_steps": ["Multiply: 382 * 365 = 139430", "Add: -3 + (-9) = -12", "Divide: 139430 / (-12) = -69715/6"], "final_answer": "-69715/6", "answer_type": "rational", "kind": "expression", "math_text": "382 * 365 / (-3 + (-9))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 382, \"b\": 365, \"c\": -3, \"d\": -9}", "seed": "3316668692463206448", "semantic_fingerprint": "sha256:87ed9894a6d1c02c4de6c24d329425670d6c0f83476a7037b4a7ab709d457049", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000460", "prompt": "What is (-13 - (-97)) * (-99) * 8?", "solution_steps": ["Subtract: -13 - (-97) = 84", "Multiply: 84 * (-99) = -8316", "Multiply: -8316 * 8 = -66528"], "final_answer": "-66528", "answer_type": "integer", "kind": "expression", "math_text": "(-13 - (-97)) * (-99) * 8", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": -97, \"c\": -99, \"d\": 8}", "seed": "9306379311364103512", "semantic_fingerprint": "sha256:3649677627cfcc3a7f2edfbff62ae48f12cb3d1a077fe762c21974340fd68691", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000461", "prompt": "Find x: 3(x - 684) + 18 = 2x + 1", "solution_steps": ["Expand: 3x - 2052 + 18 = 2x + 1", "Combine constants: 3x - 2034 = 2x + 1", "Subtract 2x from both sides: x - 2034 = 1", "Add 2034 to both sides: x = 2035"], "final_answer": "2035", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 684) + 18 = 2x + 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 684, \"c\": 18, \"d\": 2, \"e\": 1}", "seed": "3966580309189260293", "semantic_fingerprint": "sha256:2743bb29fd83b1ad70a81c0a38b39780bca0726e85a335d5d47cebac6e74ebaf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000462", "prompt": "Evaluate: 955 * 36 + (-96) * 33 / 8", "solution_steps": ["Multiply: 955 * 36 = 34380", "Multiply: -96 * 33 = -3168", "Divide: -3168 / 8 = -396", "Add: 34380 + (-396) = 33984"], "final_answer": "33984", "answer_type": "integer", "kind": "expression", "math_text": "955 * 36 + (-96) * 33 / 8", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 955, \"b\": 36, \"c\": -96, \"d\": 33, \"e\": 8}", "seed": "11260871783867695104", "semantic_fingerprint": "sha256:36c7a4b506b7d9c19946581748d2eca8bd813b8a980d3a00690154c8d96ea93f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000463", "prompt": "Solve for x: 10(x + 2) - 52 = x - 140", "solution_steps": ["Expand: 10x + 20 - 52 = x - 140", "Combine constants: 10x - 32 = x - 140", "Subtract x from both sides: 9x - 32 = -140", "Add 32 to both sides: 9x = -108", "Divide both sides by 9: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 2) - 52 = x - 140", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 52, \"e\": -140, \"x\": -12}", "seed": "16835392756176337777", "semantic_fingerprint": "sha256:0757f5d36b1202179ff7fd38a460e358124e08e65478a7775f36dfb41fc5abc7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000464", "prompt": "Compute: 900 - (-59 + (54 - 8))", "solution_steps": ["Subtract: 54 - 8 = 46", "Add: -59 + 46 = -13", "Subtract: 900 - (-13) = 913"], "final_answer": "913", "answer_type": "integer", "kind": "expression", "math_text": "900 - (-59 + (54 - 8))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 900, \"b\": -59, \"c\": 54, \"d\": 8}", "seed": "10185620922174236216", "semantic_fingerprint": "sha256:d698b8d28b0da3bc34ce287f22b085fffd0d4105602dccf96686dfb0110f5f7a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000465", "prompt": "Find x: -11(x + 7) + 66 = 2(x + 4) - 4", "solution_steps": ["Expand: -11x - 77 + 66 = 2(x + 4) - 4", "Expand: -11x - 77 + 66 = 2x + 8 - 4", "Combine constants: -11x - 11 = 2x + 8 - 4", "Combine constants: -11x - 11 = 2x + 4", "Subtract 2x from both sides: -13x - 11 = 4", "Add 11 to both sides: -13x = 15", "Divide both sides by -13: x = -15/13"], "final_answer": "-15/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 7) + 66 = 2(x + 4) - 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 7, \"c\": 66, \"d\": 2, \"e\": 4, \"f\": 4}", "seed": "6436454953615244021", "semantic_fingerprint": "sha256:0802ae2a2cbf83700d50d0e399b578e9db459d9c276210639e00ed2c15dc62ea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000466", "prompt": "What is (0 + 59) / (1 * (9 * 42))?", "solution_steps": ["Add: 0 + 59 = 59", "Multiply: 9 * 42 = 378", "Multiply: 1 * 378 = 378", "Divide: 59 / 378 = 59/378"], "final_answer": "59/378", "answer_type": "rational", "kind": "expression", "math_text": "(0 + 59) / (1 * (9 * 42))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 59, \"c\": 1, \"d\": 9, \"e\": 42}", "seed": "5602783637071464832", "semantic_fingerprint": "sha256:9f19e7b8eb9192a81291b0c8ad63479f48217f1792257e7be3e9046d9953657d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000467", "prompt": "What value of x satisfies 5(x - 89) + 889 = -8(x - 23)?", "solution_steps": ["Expand: 5x - 445 + 889 = -8(x - 23)", "Expand: 5x - 445 + 889 = -8x + 184", "Combine constants: 5x + 444 = -8x + 184", "Add 8x to both sides: 13x + 444 = 184", "Subtract 444 from both sides: 13x = -260", "Divide both sides by 13: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 89) + 889 = -8(x - 23)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 89, \"c\": -8, \"d\": 23, \"f\": 889, \"x\": -20}", "seed": "12253032603690985922", "semantic_fingerprint": "sha256:b8b086f5ba787c1197aceca27021614bb2c9aaa23bb0088cd9ca45937a449993", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000468", "prompt": "Calculate: 321 * (-2 * (-62) - (-5) / (-20) + (-50))", "solution_steps": ["Multiply: -2 * (-62) = 124", "Divide: -5 / (-20) = 1/4", "Subtract: 124 - 1/4 = 495/4", "Add: 495/4 + (-50) = 295/4", "Multiply: 321 * (295/4) = 94695/4"], "final_answer": "94695/4", "answer_type": "rational", "kind": "expression", "math_text": "321 * (-2 * (-62) - (-5) / (-20) + (-50))", "variable": null, "family": "expression_5op", "shape": "(* n (+ (- (* n n) (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 321, \"b\": -2, \"c\": -62, \"d\": -5, \"e\": -20, \"f\": -50}", "seed": "13202487646260829329", "semantic_fingerprint": "sha256:f44d12b7ce1a2cff923e88f783fdd67b65e95d29afd67119e2619d93d47fffcb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000469", "prompt": "What value of x satisfies 6(x - 3) - 222 = 4(x - 62)?", "solution_steps": ["Expand: 6x - 18 - 222 = 4(x - 62)", "Expand: 6x - 18 - 222 = 4x - 248", "Combine constants: 6x - 240 = 4x - 248", "Subtract 4x from both sides: 2x - 240 = -248", "Add 240 to both sides: 2x = -8", "Divide both sides by 2: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 3) - 222 = 4(x - 62)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 4, \"d\": 62, \"f\": -222, \"x\": -4}", "seed": "8776535261520976624", "semantic_fingerprint": "sha256:bb2bfc1a30092ed2ff14676ecc15e322b535e89da389167c54acd95cc277f628", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000470", "prompt": "What is (-20 + (-8)) * (-9 / (-449)) * (1 * (-9))?", "solution_steps": ["Add: -20 + (-8) = -28", "Divide: -9 / (-449) = 9/449", "Multiply: -28 * (9/449) = -252/449", "Multiply: 1 * (-9) = -9", "Multiply: (-252/449) * (-9) = 2268/449"], "final_answer": "2268/449", "answer_type": "rational", "kind": "expression", "math_text": "(-20 + (-8)) * (-9 / (-449)) * (1 * (-9))", "variable": null, "family": "expression_5op", "shape": "(* (* (+ n n) (/ n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": -8, \"c\": -9, \"d\": -449, \"e\": 1, \"f\": -9}", "seed": "8095304256015730015", "semantic_fingerprint": "sha256:9c7a694102c97a8dc4dc8ab54cf3439d6e41cc39a02aee3f6dc0160e4fac5c1e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000471", "prompt": "Evaluate: 5 - (684 - (-156 - 7))", "solution_steps": ["Subtract: -156 - 7 = -163", "Subtract: 684 - (-163) = 847", "Subtract: 5 - 847 = -842"], "final_answer": "-842", "answer_type": "integer", "kind": "expression", "math_text": "5 - (684 - (-156 - 7))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 684, \"c\": -156, \"d\": 7}", "seed": "12466107917412260103", "semantic_fingerprint": "sha256:01da7f849a66e5aa322be6333f97064240a1ef349c2ce22b75fb1cc54abad4e0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000472", "prompt": "Evaluate: 2 / 19 + (-93) / (-6)", "solution_steps": ["Divide: 2 / 19 = 2/19", "Divide: -93 / (-6) = 31/2", "Add: 2/19 + 31/2 = 593/38"], "final_answer": "593/38", "answer_type": "rational", "kind": "expression", "math_text": "2 / 19 + (-93) / (-6)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 19, \"c\": -93, \"d\": -6}", "seed": "9430540927894645464", "semantic_fingerprint": "sha256:c41670acc42412e34ee3563cc4ebad0f3b5e7ce7f6138af5bd66b7c5280c87ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000473", "prompt": "Calculate: 7 * ((813 + 829) * 15 / 20)", "solution_steps": ["Add: 813 + 829 = 1642", "Multiply: 1642 * 15 = 24630", "Divide: 24630 / 20 = 2463/2", "Multiply: 7 * (2463/2) = 17241/2"], "final_answer": "17241/2", "answer_type": "rational", "kind": "expression", "math_text": "7 * ((813 + 829) * 15 / 20)", "variable": null, "family": "expression_4op", "shape": "(* n (/ (* (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 813, \"c\": 829, \"d\": 15, \"e\": 20}", "seed": "16658561965382159323", "semantic_fingerprint": "sha256:c6c726165c45e49edaf900166d8011b8d3cb8635aa51359838700c0318bf6ac6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000474", "prompt": "Evaluate: -18 + (-2) / (-56) / 263", "solution_steps": ["Divide: -2 / (-56) = 1/28", "Divide: (1/28) / 263 = 1/7364", "Add: -18 + 1/7364 = -132551/7364"], "final_answer": "-132551/7364", "answer_type": "rational", "kind": "expression", "math_text": "-18 + (-2) / (-56) / 263", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": -2, \"c\": -56, \"d\": 263}", "seed": "13093042777617271043", "semantic_fingerprint": "sha256:c669443a464355df50910b39bad5d9cd1a17ddf1da7689d5e2ef332c63c54e7f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000475", "prompt": "Calculate: 21 + (16 + 35 - (-79)) - (-522)", "solution_steps": ["Add: 16 + 35 = 51", "Subtract: 51 - (-79) = 130", "Add: 21 + 130 = 151", "Subtract: 151 - (-522) = 673"], "final_answer": "673", "answer_type": "integer", "kind": "expression", "math_text": "21 + (16 + 35 - (-79)) - (-522)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (- (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 16, \"c\": 35, \"d\": -79, \"e\": -522}", "seed": "8559379867147155121", "semantic_fingerprint": "sha256:55e288bef3a12a3f404f779dd0ac1d5b76ecb69fb9c695b9f796466e88e5a70c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000476", "prompt": "Solve the equation 12x - 12 = -3(x + 8) + 56 for x.", "solution_steps": ["Expand: 12x - 12 = -3x - 24 + 56", "Combine constants: 12x - 12 = -3x + 32", "Add 3x to both sides: 15x - 12 = 32", "Add 12 to both sides: 15x = 44", "Divide both sides by 15: x = 44/15"], "final_answer": "44/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 12 = -3(x + 8) + 56", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 12, \"c\": -3, \"d\": 8, \"e\": 56}", "seed": "17520258543450422113", "semantic_fingerprint": "sha256:504bc0def180542d2e0ecae8cca79f1ddb11cd39837d772fd7b5626fd2e9323d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000477", "prompt": "Compute: -249 + 97 - (883 + (-6))", "solution_steps": ["Add: -249 + 97 = -152", "Add: 883 + (-6) = 877", "Subtract: -152 - 877 = -1029"], "final_answer": "-1029", "answer_type": "integer", "kind": "expression", "math_text": "-249 + 97 - (883 + (-6))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -249, \"b\": 97, \"c\": 883, \"d\": -6}", "seed": "372347522655007470", "semantic_fingerprint": "sha256:2c5cbcc2f5424789d2c41f74da4fa5313733f57d263c56ca7791d9f73d8aa3aa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000478", "prompt": "What is 0 + 86 - (-26 - (-4)) * (3 * 9)?", "solution_steps": ["Add: 0 + 86 = 86", "Subtract: -26 - (-4) = -22", "Multiply: 3 * 9 = 27", "Multiply: -22 * 27 = -594", "Subtract: 86 - (-594) = 680"], "final_answer": "680", "answer_type": "integer", "kind": "expression", "math_text": "0 + 86 - (-26 - (-4)) * (3 * 9)", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (* (- n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 86, \"c\": -26, \"d\": -4, \"e\": 3, \"f\": 9}", "seed": "7358084950671571924", "semantic_fingerprint": "sha256:fa015e3a4304ef27cc9b1299f72be8ba3357169596c59dc69877a21a05682242", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000479", "prompt": "Solve for x: 5(x + 3) + 10 = -2(x + 12) - 35", "solution_steps": ["Expand: 5x + 15 + 10 = -2(x + 12) - 35", "Expand: 5x + 15 + 10 = -2x - 24 - 35", "Combine constants: 5x + 25 = -2x - 24 - 35", "Combine constants: 5x + 25 = -2x - 59", "Add 2x to both sides: 7x + 25 = -59", "Subtract 25 from both sides: 7x = -84", "Divide both sides by 7: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 3) + 10 = -2(x + 12) - 35", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 10, \"d\": -2, \"e\": 12, \"g\": -35, \"x\": -12}", "seed": "2023815921091107298", "semantic_fingerprint": "sha256:948658f5fd40181eacd2578ea194e117cb663e7d6df7834a895547c84a9278b9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000480", "prompt": "What value of x satisfies x - 53 = 6(x - 5) + 1?", "solution_steps": ["Expand: x - 53 = 6x - 30 + 1", "Combine constants: x - 53 = 6x - 29", "Subtract 6x from both sides: -5x - 53 = -29", "Add 53 to both sides: -5x = 24", "Divide both sides by -5: x = -24/5"], "final_answer": "-24/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 53 = 6(x - 5) + 1", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": 6, \"c\": 5, \"d\": 1}", "seed": "1208396806978089002", "semantic_fingerprint": "sha256:0e82e67e67ce1ca50c4dd3217d14f41d911e6d5ebf776c87a42f034abe9f5e61", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000481", "prompt": "Calculate: -26 / (-86) * (-98) - 324 / 91", "solution_steps": ["Divide: -26 / (-86) = 13/43", "Multiply: (13/43) * (-98) = -1274/43", "Divide: 324 / 91 = 324/91", "Subtract: -1274/43 - 324/91 = -129866/3913"], "final_answer": "-129866/3913", "answer_type": "rational", "kind": "expression", "math_text": "-26 / (-86) * (-98) - 324 / 91", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": -86, \"c\": -98, \"d\": 324, \"e\": 91}", "seed": "18091189561780861349", "semantic_fingerprint": "sha256:1c220a0c7cc6f735fb51d43872f0f13addea0e9d9b89d287963ceb4aaa02fe50", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000482", "prompt": "Solve the equation 3(x - 83) = -5x - 289 for x.", "solution_steps": ["Expand: 3x - 249 = -5x - 289", "Add 5x to both sides: 8x - 249 = -289", "Add 249 to both sides: 8x = -40", "Divide both sides by 8: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 83) = -5x - 289", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 83, \"c\": -5, \"e\": -289, \"x\": -5}", "seed": "2094358349128148942", "semantic_fingerprint": "sha256:7c0f388eb474cbf95c11a545200478e66b395885afa26a58e70fe87a3041eb98", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000483", "prompt": "Solve the equation 8(x - 84) - 80 = -6(x - 75) - 922 for x.", "solution_steps": ["Expand: 8x - 672 - 80 = -6(x - 75) - 922", "Expand: 8x - 672 - 80 = -6x + 450 - 922", "Combine constants: 8x - 752 = -6x + 450 - 922", "Combine constants: 8x - 752 = -6x - 472", "Add 6x to both sides: 14x - 752 = -472", "Add 752 to both sides: 14x = 280", "Divide both sides by 14: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 84) - 80 = -6(x - 75) - 922", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 84, \"c\": 80, \"d\": -6, \"e\": 75, \"g\": -922, \"x\": 20}", "seed": "5123605266491249014", "semantic_fingerprint": "sha256:6da13988483a0d93aec403552edfaf7e30066b242fef4898fd264454e79991a1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000484", "prompt": "Find x: -2(x + 29) + 85 = 8(x + 65) - 673", "solution_steps": ["Expand: -2x - 58 + 85 = 8(x + 65) - 673", "Expand: -2x - 58 + 85 = 8x + 520 - 673", "Combine constants: -2x + 27 = 8x + 520 - 673", "Combine constants: -2x + 27 = 8x - 153", "Subtract 8x from both sides: -10x + 27 = -153", "Subtract 27 from both sides: -10x = -180", "Divide both sides by -10: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 29) + 85 = 8(x + 65) - 673", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 29, \"c\": 85, \"d\": 8, \"e\": 65, \"g\": -673, \"x\": 18}", "seed": "7544967912088504478", "semantic_fingerprint": "sha256:34e5b52f89bb8c12ccb794e045fefd7432d4f04b03f96df47e6e0ed7348331ea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000485", "prompt": "Solve for x: 4(x - 89) = 8x - 812", "solution_steps": ["Expand: 4x - 356 = 8x - 812", "Subtract 8x from both sides: -4x - 356 = -812", "Add 356 to both sides: -4x = -456", "Divide both sides by -4: x = 114"], "final_answer": "114", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 89) = 8x - 812", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 89, \"c\": 8, \"d\": 812}", "seed": "9943274775663884045", "semantic_fingerprint": "sha256:fb24b8a189bf5a9e5920458e457188e0a2ff3e489ebc915c15eb2c4b5a6114a2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000486", "prompt": "Solve for x: -3(x - 70) + 51 = -11x + 213", "solution_steps": ["Expand: -3x + 210 + 51 = -11x + 213", "Combine constants: -3x + 261 = -11x + 213", "Add 11x to both sides: 8x + 261 = 213", "Subtract 261 from both sides: 8x = -48", "Divide both sides by 8: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 70) + 51 = -11x + 213", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 70, \"c\": 51, \"d\": -11, \"f\": 213, \"x\": -6}", "seed": "2589812334843911573", "semantic_fingerprint": "sha256:2c28882a0f4e821092fe30fb490453828eab840bbebdc78673728cb70d4ed4bc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000487", "prompt": "Find x: 10(x - 6) + 391 = -9(x - 3)", "solution_steps": ["Expand: 10x - 60 + 391 = -9(x - 3)", "Expand: 10x - 60 + 391 = -9x + 27", "Combine constants: 10x + 331 = -9x + 27", "Add 9x to both sides: 19x + 331 = 27", "Subtract 331 from both sides: 19x = -304", "Divide both sides by 19: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 6) + 391 = -9(x - 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": -9, \"d\": 3, \"f\": 391, \"x\": -16}", "seed": "10866315114775851299", "semantic_fingerprint": "sha256:96ce5c01ce04cd6e13ee448b041e61a2fed5f874dc1f161aa6f786fae0a06679", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000488", "prompt": "Compute: 19 * (1 - (-12) + 14)", "solution_steps": ["Subtract: 1 - (-12) = 13", "Add: 13 + 14 = 27", "Multiply: 19 * 27 = 513"], "final_answer": "513", "answer_type": "integer", "kind": "expression", "math_text": "19 * (1 - (-12) + 14)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": 1, \"c\": -12, \"d\": 14}", "seed": "1964871334315109657", "semantic_fingerprint": "sha256:942703aa3457111791e5c8267abe7b090ca6cff7bef59226d93c42d1beac3960", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000489", "prompt": "Solve the equation 4(x - 1) + 64 = 5(x - 50) for x.", "solution_steps": ["Expand: 4x - 4 + 64 = 5(x - 50)", "Expand: 4x - 4 + 64 = 5x - 250", "Combine constants: 4x + 60 = 5x - 250", "Subtract 5x from both sides: -x + 60 = -250", "Subtract 60 from both sides: -x = -310", "Divide both sides by -1: x = 310"], "final_answer": "310", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 1) + 64 = 5(x - 50)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 64, \"d\": 5, \"e\": 50}", "seed": "6325016474333056577", "semantic_fingerprint": "sha256:c21583133ce9411c72987e43488641c6eeccdb02d72d4659fea6664ceb055a1f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000490", "prompt": "What value of x satisfies 9(x - 2) = -9x - 36?", "solution_steps": ["Expand: 9x - 18 = -9x - 36", "Add 9x to both sides: 18x - 18 = -36", "Add 18 to both sides: 18x = -18", "Divide both sides by 18: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 2) = -9x - 36", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": -9, \"e\": -36, \"x\": -1}", "seed": "13932361319223489747", "semantic_fingerprint": "sha256:bf2b54af3fa04ab2426bff169682e54d9ce4b846294a804c2cc391fa335f926b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000491", "prompt": "Calculate: -93 - 30 - (8 * (-8 / 76) - 682)", "solution_steps": ["Subtract: -93 - 30 = -123", "Divide: -8 / 76 = -2/19", "Multiply: 8 * (-2/19) = -16/19", "Subtract: -16/19 - 682 = -12974/19", "Subtract: -123 - (-12974/19) = 10637/19"], "final_answer": "10637/19", "answer_type": "rational", "kind": "expression", "math_text": "-93 - 30 - (8 * (-8 / 76) - 682)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (- (* n (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": 30, \"c\": 8, \"d\": -8, \"e\": 76, \"f\": 682}", "seed": "17142257383362583057", "semantic_fingerprint": "sha256:8f451f2cc9398b98dd32deea92727fa616db93f6d7f1b154ded0e5b5b0a65115", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000492", "prompt": "Solve for x: -4(x - 1) + 84 = 3(x + 77) - 255", "solution_steps": ["Expand: -4x + 4 + 84 = 3(x + 77) - 255", "Expand: -4x + 4 + 84 = 3x + 231 - 255", "Combine constants: -4x + 88 = 3x + 231 - 255", "Combine constants: -4x + 88 = 3x - 24", "Subtract 3x from both sides: -7x + 88 = -24", "Subtract 88 from both sides: -7x = -112", "Divide both sides by -7: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 1) + 84 = 3(x + 77) - 255", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 1, \"c\": 84, \"d\": 3, \"e\": 77, \"g\": -255, \"x\": 16}", "seed": "11758813293566246402", "semantic_fingerprint": "sha256:ed883ac22cae93058c7b9db2f240599ff5c4060c29c42933ff37383671b00108", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000493", "prompt": "Compute: 6 - (-58) / (-71 * 164)", "solution_steps": ["Multiply: -71 * 164 = -11644", "Divide: -58 / (-11644) = 29/5822", "Subtract: 6 - 29/5822 = 34903/5822"], "final_answer": "34903/5822", "answer_type": "rational", "kind": "expression", "math_text": "6 - (-58) / (-71 * 164)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -58, \"c\": -71, \"d\": 164}", "seed": "3610552319616167418", "semantic_fingerprint": "sha256:7a5252f3cf79e3b3c90d487814bf9ff6ceb0e02880094c2d979497b569bebf3a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000494", "prompt": "Solve the equation -11(x + 7) + 51 = 2(x + 76) - 69 for x.", "solution_steps": ["Expand: -11x - 77 + 51 = 2(x + 76) - 69", "Expand: -11x - 77 + 51 = 2x + 152 - 69", "Combine constants: -11x - 26 = 2x + 152 - 69", "Combine constants: -11x - 26 = 2x + 83", "Subtract 2x from both sides: -13x - 26 = 83", "Add 26 to both sides: -13x = 109", "Divide both sides by -13: x = -109/13"], "final_answer": "-109/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 7) + 51 = 2(x + 76) - 69", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 7, \"c\": 51, \"d\": 2, \"e\": 76, \"f\": 69}", "seed": "17414224641289983685", "semantic_fingerprint": "sha256:b4adc3d7488642cd8ed7cc1a65f5e135340f8a2a962df5a9e12734991c4efad9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000495", "prompt": "Solve the equation x - 38 = 9(x - 58) + 540 for x.", "solution_steps": ["Expand: x - 38 = 9x - 522 + 540", "Combine constants: x - 38 = 9x + 18", "Subtract 9x from both sides: -8x - 38 = 18", "Add 38 to both sides: -8x = 56", "Divide both sides by -8: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 38 = 9(x - 58) + 540", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 9, \"c\": 58, \"e\": 540, \"x\": -7}", "seed": "6860275871164696657", "semantic_fingerprint": "sha256:a38ff647cbbbb7540075bee9671422ee382c4490130ff2f08c6d8723474aaaf9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000496", "prompt": "Solve for x: 7(x - 62) + 667 = 2x + 173", "solution_steps": ["Expand: 7x - 434 + 667 = 2x + 173", "Combine constants: 7x + 233 = 2x + 173", "Subtract 2x from both sides: 5x + 233 = 173", "Subtract 233 from both sides: 5x = -60", "Divide both sides by 5: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 62) + 667 = 2x + 173", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 62, \"c\": 667, \"d\": 2, \"f\": 173, \"x\": -12}", "seed": "605649339112249003", "semantic_fingerprint": "sha256:2317a5fe25098939bf67ca100b652dcf5a670c76433b086165edd2d2897d9053", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000497", "prompt": "Solve for x: -4(x + 83) + 672 = 7(x + 7) - 85", "solution_steps": ["Expand: -4x - 332 + 672 = 7(x + 7) - 85", "Expand: -4x - 332 + 672 = 7x + 49 - 85", "Combine constants: -4x + 340 = 7x + 49 - 85", "Combine constants: -4x + 340 = 7x - 36", "Subtract 7x from both sides: -11x + 340 = -36", "Subtract 340 from both sides: -11x = -376", "Divide both sides by -11: x = 376/11"], "final_answer": "376/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 83) + 672 = 7(x + 7) - 85", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 83, \"c\": 672, \"d\": 7, \"e\": 7, \"f\": 85}", "seed": "6380138696905258627", "semantic_fingerprint": "sha256:ab566dd28fcae1160805014e39aadf8a383956c7a623eeb5e697b4498dc67ab7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000498", "prompt": "Find x: 4(x - 645) + 6 = 10x + 6", "solution_steps": ["Expand: 4x - 2580 + 6 = 10x + 6", "Combine constants: 4x - 2574 = 10x + 6", "Subtract 10x from both sides: -6x - 2574 = 6", "Add 2574 to both sides: -6x = 2580", "Divide both sides by -6: x = -430"], "final_answer": "-430", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 645) + 6 = 10x + 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 645, \"c\": 6, \"d\": 10, \"e\": 6}", "seed": "7437923330331807214", "semantic_fingerprint": "sha256:376d8bf2c5d0fec3efc2f94c190a943840df5f86c54d2f8dddf58b30359818df", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000499", "prompt": "What is 2 * (-1) - (-6) + (-67 + (-162 + 1))?", "solution_steps": ["Multiply: 2 * (-1) = -2", "Subtract: -2 - (-6) = 4", "Add: -162 + 1 = -161", "Add: -67 + (-161) = -228", "Add: 4 + (-228) = -224"], "final_answer": "-224", "answer_type": "integer", "kind": "expression", "math_text": "2 * (-1) - (-6) + (-67 + (-162 + 1))", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -1, \"c\": -6, \"d\": -67, \"e\": -162, \"f\": 1}", "seed": "17110577109891922505", "semantic_fingerprint": "sha256:addd9f64535397064546f1b5a1019afd3328d7cd00752d42fb8e4c8fd5c03994", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000500", "prompt": "Evaluate: (-659 + 6) / (414 / (-97))", "solution_steps": ["Add: -659 + 6 = -653", "Divide: 414 / (-97) = -414/97", "Divide: -653 / (-414/97) = 63341/414"], "final_answer": "63341/414", "answer_type": "rational", "kind": "expression", "math_text": "(-659 + 6) / (414 / (-97))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -659, \"b\": 6, \"c\": 414, \"d\": -97}", "seed": "17170903625192462765", "semantic_fingerprint": "sha256:181e029b0c0534daa709f41383739c3cdf4d638ff2a358433c67a4c0f3b4747b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000501", "prompt": "Solve for x: x - 20 = 5(x - 29) + 205", "solution_steps": ["Expand: x - 20 = 5x - 145 + 205", "Combine constants: x - 20 = 5x + 60", "Subtract 5x from both sides: -4x - 20 = 60", "Add 20 to both sides: -4x = 80", "Divide both sides by -4: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 20 = 5(x - 29) + 205", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": 5, \"c\": 29, \"e\": 205, \"x\": -20}", "seed": "15094633975736121433", "semantic_fingerprint": "sha256:570f4f7df96a14e97c7a9ae426fc65da53e6eb6b230d50575b83e92558bc5d14", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000502", "prompt": "What value of x satisfies -5(x + 29) + 30 = 7(x + 24) - 391?", "solution_steps": ["Expand: -5x - 145 + 30 = 7(x + 24) - 391", "Expand: -5x - 145 + 30 = 7x + 168 - 391", "Combine constants: -5x - 115 = 7x + 168 - 391", "Combine constants: -5x - 115 = 7x - 223", "Subtract 7x from both sides: -12x - 115 = -223", "Add 115 to both sides: -12x = -108", "Divide both sides by -12: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 29) + 30 = 7(x + 24) - 391", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 29, \"c\": 30, \"d\": 7, \"e\": 24, \"g\": -391, \"x\": 9}", "seed": "14180408912584042701", "semantic_fingerprint": "sha256:5d8caae735b7480383248830b37cd1a38212389a4b0058fccdf2aa3ef4dbee32", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000503", "prompt": "What is (638 + 39 + 71) / (-3 - 7)?", "solution_steps": ["Add: 638 + 39 = 677", "Add: 677 + 71 = 748", "Subtract: -3 - 7 = -10", "Divide: 748 / (-10) = -374/5"], "final_answer": "-374/5", "answer_type": "rational", "kind": "expression", "math_text": "(638 + 39 + 71) / (-3 - 7)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 638, \"b\": 39, \"c\": 71, \"d\": -3, \"e\": 7}", "seed": "9599757565835306429", "semantic_fingerprint": "sha256:d4de506bcf95ec5482e50579a0eb737eeac1cf54e7264d100c111b97f355eccb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000504", "prompt": "What value of x satisfies 9(x + 2) - 5 = x - 11?", "solution_steps": ["Expand: 9x + 18 - 5 = x - 11", "Combine constants: 9x + 13 = x - 11", "Subtract x from both sides: 8x + 13 = -11", "Subtract 13 from both sides: 8x = -24", "Divide both sides by 8: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 2) - 5 = x - 11", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 5, \"e\": -11, \"x\": -3}", "seed": "4881055955971187077", "semantic_fingerprint": "sha256:e584ea96fd2b334d6f6a0931ffec0c7aef55321bea36d123b90798a54d760e51", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000505", "prompt": "Compute: (19 + (-15) + (652 + (-559))) / (-624)", "solution_steps": ["Add: 19 + (-15) = 4", "Add: 652 + (-559) = 93", "Add: 4 + 93 = 97", "Divide: 97 / (-624) = -97/624"], "final_answer": "-97/624", "answer_type": "rational", "kind": "expression", "math_text": "(19 + (-15) + (652 + (-559))) / (-624)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": -15, \"c\": 652, \"d\": -559, \"e\": -624}", "seed": "162939820848546375", "semantic_fingerprint": "sha256:12c48c2d355735ed807d24536aaa735aa5cf4b05b5a8ceb2b6fc2829adfee722", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000506", "prompt": "Calculate: (-2 - 199) / (67 * (-98))", "solution_steps": ["Subtract: -2 - 199 = -201", "Multiply: 67 * (-98) = -6566", "Divide: -201 / (-6566) = 3/98"], "final_answer": "3/98", "answer_type": "rational", "kind": "expression", "math_text": "(-2 - 199) / (67 * (-98))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 199, \"c\": 67, \"d\": -98}", "seed": "155890154530404827", "semantic_fingerprint": "sha256:6923d019a2bd3b1c2fc6360e53213e258cb46b916b077bfabdf2f9fd86c516c2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000507", "prompt": "Evaluate: 34 - (-21) / (146 * 2)", "solution_steps": ["Multiply: 146 * 2 = 292", "Divide: -21 / 292 = -21/292", "Subtract: 34 - (-21/292) = 9949/292"], "final_answer": "9949/292", "answer_type": "rational", "kind": "expression", "math_text": "34 - (-21) / (146 * 2)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": -21, \"c\": 146, \"d\": 2}", "seed": "9251891970827334184", "semantic_fingerprint": "sha256:d9e69e73a3f00dc625a2b5e3b67736f0cc19ede4cd405e29501f2aa367c22e84", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000508", "prompt": "What is -5 / (-1 - 0) * 2 + (2 + (-77))?", "solution_steps": ["Subtract: -1 - 0 = -1", "Divide: -5 / (-1) = 5", "Multiply: 5 * 2 = 10", "Add: 2 + (-77) = -75", "Add: 10 + (-75) = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "expression", "math_text": "-5 / (-1 - 0) * 2 + (2 + (-77))", "variable": null, "family": "expression_5op", "shape": "(+ (* (/ n (- n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -1, \"c\": 0, \"d\": 2, \"e\": 2, \"f\": -77}", "seed": "14833047832944428913", "semantic_fingerprint": "sha256:d5a9d3dc62f37b6ff9476e1b8d70d12eb72130a4020d2e15842f3ab901e3571f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000509", "prompt": "What value of x satisfies 9(x - 8) + 174 = 3(x - 6)?", "solution_steps": ["Expand: 9x - 72 + 174 = 3(x - 6)", "Expand: 9x - 72 + 174 = 3x - 18", "Combine constants: 9x + 102 = 3x - 18", "Subtract 3x from both sides: 6x + 102 = -18", "Subtract 102 from both sides: 6x = -120", "Divide both sides by 6: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 8) + 174 = 3(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 3, \"d\": 6, \"f\": 174, \"x\": -20}", "seed": "9633882631981359072", "semantic_fingerprint": "sha256:5f7357261d0451d2327945d3c38b21f6a6ab70696d4eee48af5641970b3f634c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000510", "prompt": "Compute: (-9 + 53 + 74) * (-39)", "solution_steps": ["Add: -9 + 53 = 44", "Add: 44 + 74 = 118", "Multiply: 118 * (-39) = -4602"], "final_answer": "-4602", "answer_type": "integer", "kind": "expression", "math_text": "(-9 + 53 + 74) * (-39)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 53, \"c\": 74, \"d\": -39}", "seed": "8641912828113242678", "semantic_fingerprint": "sha256:1b42a616091d5fab3f46532fb1eaf8eb4fad7a0d9610e00a5ba6f1373b724a8c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000511", "prompt": "Evaluate: (250 - 5 / 53) / (-925)", "solution_steps": ["Divide: 5 / 53 = 5/53", "Subtract: 250 - 5/53 = 13245/53", "Divide: (13245/53) / (-925) = -2649/9805"], "final_answer": "-2649/9805", "answer_type": "rational", "kind": "expression", "math_text": "(250 - 5 / 53) / (-925)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 250, \"b\": 5, \"c\": 53, \"d\": -925}", "seed": "3190389393140279592", "semantic_fingerprint": "sha256:4a5a46beffb4d35c6f3fd90214c403dd4f6a69b0c4506592ba6cc26b82ccc6ca", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000512", "prompt": "Calculate: -438 + (-6) - (9 + 185)", "solution_steps": ["Add: -438 + (-6) = -444", "Add: 9 + 185 = 194", "Subtract: -444 - 194 = -638"], "final_answer": "-638", "answer_type": "integer", "kind": "expression", "math_text": "-438 + (-6) - (9 + 185)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -438, \"b\": -6, \"c\": 9, \"d\": 185}", "seed": "16365251401015987086", "semantic_fingerprint": "sha256:121ddd000f90337ad810b5bebd36709adeb52d282b4a9eb85cd61de7214a6895", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000513", "prompt": "Solve for x: -2(x - 51) - 914 = 12(x - 91)", "solution_steps": ["Expand: -2x + 102 - 914 = 12(x - 91)", "Expand: -2x + 102 - 914 = 12x - 1092", "Combine constants: -2x - 812 = 12x - 1092", "Subtract 12x from both sides: -14x - 812 = -1092", "Add 812 to both sides: -14x = -280", "Divide both sides by -14: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 51) - 914 = 12(x - 91)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 51, \"c\": 12, \"d\": 91, \"f\": -914, \"x\": 20}", "seed": "16604474723936693897", "semantic_fingerprint": "sha256:ef87aa5f35c7790b9b1b235b5605f5bc82e8d9e3da9dc596ab54d24dfaaa665c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000514", "prompt": "Evaluate: (-815 + 763 + (-3)) * (-836)", "solution_steps": ["Add: -815 + 763 = -52", "Add: -52 + (-3) = -55", "Multiply: -55 * (-836) = 45980"], "final_answer": "45980", "answer_type": "integer", "kind": "expression", "math_text": "(-815 + 763 + (-3)) * (-836)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -815, \"b\": 763, \"c\": -3, \"d\": -836}", "seed": "18193883358422767146", "semantic_fingerprint": "sha256:132f1a682ad24604c1875af8439793d27f8f6b2ba278a2a4d2506558c6fa78c4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000515", "prompt": "Solve for x: 8(x - 83) - 83 = 3(x - 21) - 784", "solution_steps": ["Expand: 8x - 664 - 83 = 3(x - 21) - 784", "Expand: 8x - 664 - 83 = 3x - 63 - 784", "Combine constants: 8x - 747 = 3x - 63 - 784", "Combine constants: 8x - 747 = 3x - 847", "Subtract 3x from both sides: 5x - 747 = -847", "Add 747 to both sides: 5x = -100", "Divide both sides by 5: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 83) - 83 = 3(x - 21) - 784", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 83, \"c\": 83, \"d\": 3, \"e\": 21, \"g\": -784, \"x\": -20}", "seed": "17887216790908902098", "semantic_fingerprint": "sha256:e2f6ebe91b1499241d46bea7d031cab7f5cf23b1b5ef7fddc7ef1f0885f8970c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000516", "prompt": "What value of x satisfies x - 4 = 5(x - 25) + 81?", "solution_steps": ["Expand: x - 4 = 5x - 125 + 81", "Combine constants: x - 4 = 5x - 44", "Subtract 5x from both sides: -4x - 4 = -44", "Add 4 to both sides: -4x = -40", "Divide both sides by -4: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4 = 5(x - 25) + 81", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 25, \"e\": 81, \"x\": 10}", "seed": "1666199827505830775", "semantic_fingerprint": "sha256:42daff9269f0a7bc0b1e1e195db77df108ee4d5f86aafdb5dd1ecc747aaaa36a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000517", "prompt": "What value of x satisfies 9(x - 7) = -3x - 255?", "solution_steps": ["Expand: 9x - 63 = -3x - 255", "Add 3x to both sides: 12x - 63 = -255", "Add 63 to both sides: 12x = -192", "Divide both sides by 12: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 7) = -3x - 255", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": -3, \"e\": -255, \"x\": -16}", "seed": "18102117626102809034", "semantic_fingerprint": "sha256:f7c65d976a566deee464af1ef89dd7d654c5f48834c0ece631646df315467756", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000518", "prompt": "Find x: 10(x - 73) = 5x - 705", "solution_steps": ["Expand: 10x - 730 = 5x - 705", "Subtract 5x from both sides: 5x - 730 = -705", "Add 730 to both sides: 5x = 25", "Divide both sides by 5: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 73) = 5x - 705", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 73, \"c\": 5, \"e\": -705, \"x\": 5}", "seed": "8711168108204653349", "semantic_fingerprint": "sha256:002bd8459cfb1c78d3f158ad1047910d6cf30cc91c55b0591e420347c701491d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000519", "prompt": "Evaluate: 55 + 35 - (0 + 77 * (-23))", "solution_steps": ["Add: 55 + 35 = 90", "Multiply: 77 * (-23) = -1771", "Add: 0 + (-1771) = -1771", "Subtract: 90 - (-1771) = 1861"], "final_answer": "1861", "answer_type": "integer", "kind": "expression", "math_text": "55 + 35 - (0 + 77 * (-23))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 35, \"c\": 0, \"d\": 77, \"e\": -23}", "seed": "11727576023916050205", "semantic_fingerprint": "sha256:8dca1262dbe3cd3601655bd8ca82b0c96f405afa8da2154c7b299abd7d5de7b0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000520", "prompt": "Solve for x: 2(x + 2) - 49 = x - 65", "solution_steps": ["Expand: 2x + 4 - 49 = x - 65", "Combine constants: 2x - 45 = x - 65", "Subtract x from both sides: x - 45 = -65", "Add 45 to both sides: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 2) - 49 = x - 65", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 49, \"e\": -65, \"x\": -20}", "seed": "6407676124828221005", "semantic_fingerprint": "sha256:11e5742aad9136281ce2527506c21630a3c4474385613b05c174d9e4265ae000", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000521", "prompt": "Solve the equation 7(x - 6) + 74 = -6(x + 39) - 5 for x.", "solution_steps": ["Expand: 7x - 42 + 74 = -6(x + 39) - 5", "Expand: 7x - 42 + 74 = -6x - 234 - 5", "Combine constants: 7x + 32 = -6x - 234 - 5", "Combine constants: 7x + 32 = -6x - 239", "Add 6x to both sides: 13x + 32 = -239", "Subtract 32 from both sides: 13x = -271", "Divide both sides by 13: x = -271/13"], "final_answer": "-271/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 6) + 74 = -6(x + 39) - 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 74, \"d\": -6, \"e\": 39, \"f\": 5}", "seed": "8364096603902176665", "semantic_fingerprint": "sha256:4adfa22f55b706cc7ffc6863189005f3571808cd57f78f4d135fefda48e38604", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000522", "prompt": "Calculate: (-5 - 59) * (-487 / 34)", "solution_steps": ["Subtract: -5 - 59 = -64", "Divide: -487 / 34 = -487/34", "Multiply: -64 * (-487/34) = 15584/17"], "final_answer": "15584/17", "answer_type": "rational", "kind": "expression", "math_text": "(-5 - 59) * (-487 / 34)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 59, \"c\": -487, \"d\": 34}", "seed": "8649370005776744497", "semantic_fingerprint": "sha256:e7def7469b6028ec9124495415a2fb318f645256bfb2430e857c663a3af975e6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000523", "prompt": "Calculate: -2 + 27 - (136 + (-65))", "solution_steps": ["Add: -2 + 27 = 25", "Add: 136 + (-65) = 71", "Subtract: 25 - 71 = -46"], "final_answer": "-46", "answer_type": "integer", "kind": "expression", "math_text": "-2 + 27 - (136 + (-65))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 27, \"c\": 136, \"d\": -65}", "seed": "16154759294657383991", "semantic_fingerprint": "sha256:8892a0abff3bdacf097bb84e0921383f69dd0c767d11e3d039141b3ca0a72b45", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000524", "prompt": "What is 53 / (-79) - (-73) - 33?", "solution_steps": ["Divide: 53 / (-79) = -53/79", "Subtract: -53/79 - (-73) = 5714/79", "Subtract: 5714/79 - 33 = 3107/79"], "final_answer": "3107/79", "answer_type": "rational", "kind": "expression", "math_text": "53 / (-79) - (-73) - 33", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": -79, \"c\": -73, \"d\": 33}", "seed": "17688973516309094128", "semantic_fingerprint": "sha256:ba18eb612abe0fe6b97cadbe629d2c3fe4746ff9ab8e0f3353bf712b28fa5606", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000525", "prompt": "Calculate: 3 + 44 - (-49) * 850 - (-893)", "solution_steps": ["Add: 3 + 44 = 47", "Multiply: -49 * 850 = -41650", "Subtract: 47 - (-41650) = 41697", "Subtract: 41697 - (-893) = 42590"], "final_answer": "42590", "answer_type": "integer", "kind": "expression", "math_text": "3 + 44 - (-49) * 850 - (-893)", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 44, \"c\": -49, \"d\": 850, \"e\": -893}", "seed": "191833358078724054", "semantic_fingerprint": "sha256:a2605eb2fc31e87a42481ccb8304fe976515ca636cf1e57cacab37dd2cb6eaa9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000526", "prompt": "Calculate: 4 * (-7 * 6) - (-4)", "solution_steps": ["Multiply: -7 * 6 = -42", "Multiply: 4 * (-42) = -168", "Subtract: -168 - (-4) = -164"], "final_answer": "-164", "answer_type": "integer", "kind": "expression", "math_text": "4 * (-7 * 6) - (-4)", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -7, \"c\": 6, \"d\": -4}", "seed": "11185766492089135687", "semantic_fingerprint": "sha256:4c7869e62f8220d47ec6938d0caf3c1ec12c7e473633735908c1392d47e6035f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000527", "prompt": "What is (30 - (-6 + 42) - 95) * (78 - 94)?", "solution_steps": ["Add: -6 + 42 = 36", "Subtract: 30 - 36 = -6", "Subtract: -6 - 95 = -101", "Subtract: 78 - 94 = -16", "Multiply: -101 * (-16) = 1616"], "final_answer": "1616", "answer_type": "integer", "kind": "expression", "math_text": "(30 - (-6 + 42) - 95) * (78 - 94)", "variable": null, "family": "expression_5op", "shape": "(* (- (- n (+ n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": -6, \"c\": 42, \"d\": 95, \"e\": 78, \"f\": 94}", "seed": "7725157162628882623", "semantic_fingerprint": "sha256:8f1161e886b14e2f1b639e8ad02dfe86c19a9b059b1f386cbe42cfd319270d74", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000528", "prompt": "Calculate: 5 / (-5) + (-68) / (-795)", "solution_steps": ["Divide: 5 / (-5) = -1", "Divide: -68 / (-795) = 68/795", "Add: -1 + 68/795 = -727/795"], "final_answer": "-727/795", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-5) + (-68) / (-795)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -5, \"c\": -68, \"d\": -795}", "seed": "11888170579680623703", "semantic_fingerprint": "sha256:ccb252d4c1152074ea8b485720eaedc488194733a4fadf22a41d933817d39d5a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000529", "prompt": "Calculate: 1 + (-28) - (-2 + 73)", "solution_steps": ["Add: 1 + (-28) = -27", "Add: -2 + 73 = 71", "Subtract: -27 - 71 = -98"], "final_answer": "-98", "answer_type": "integer", "kind": "expression", "math_text": "1 + (-28) - (-2 + 73)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -28, \"c\": -2, \"d\": 73}", "seed": "680800815250215755", "semantic_fingerprint": "sha256:0e4a3ee45c0a84edfa1eb624bc0409a0bd9729825c1ec1bf0de17ed0098e370f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000530", "prompt": "Solve for x: 5(x - 31) + 206 = 11x + 141", "solution_steps": ["Expand: 5x - 155 + 206 = 11x + 141", "Combine constants: 5x + 51 = 11x + 141", "Subtract 11x from both sides: -6x + 51 = 141", "Subtract 51 from both sides: -6x = 90", "Divide both sides by -6: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 31) + 206 = 11x + 141", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 31, \"c\": 206, \"d\": 11, \"f\": 141, \"x\": -15}", "seed": "7620266296216505283", "semantic_fingerprint": "sha256:b5042e814cbbfeac45840346620158d2996253c0947bcba0abe1155c39128f4f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000531", "prompt": "What value of x satisfies 5(x - 48) - 857 = 7(x - 17) - 954?", "solution_steps": ["Expand: 5x - 240 - 857 = 7(x - 17) - 954", "Expand: 5x - 240 - 857 = 7x - 119 - 954", "Combine constants: 5x - 1097 = 7x - 119 - 954", "Combine constants: 5x - 1097 = 7x - 1073", "Subtract 7x from both sides: -2x - 1097 = -1073", "Add 1097 to both sides: -2x = 24", "Divide both sides by -2: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 48) - 857 = 7(x - 17) - 954", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 48, \"c\": 857, \"d\": 7, \"e\": 17, \"g\": -954, \"x\": -12}", "seed": "7093670713856101813", "semantic_fingerprint": "sha256:427c116c29680b3652d637794f7fe564c5a4aa26b06c8c48554429c4f96a6205", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000532", "prompt": "Evaluate: 62 / 2 - 46 - 6", "solution_steps": ["Divide: 62 / 2 = 31", "Subtract: 31 - 46 = -15", "Subtract: -15 - 6 = -21"], "final_answer": "-21", "answer_type": "integer", "kind": "expression", "math_text": "62 / 2 - 46 - 6", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": 2, \"c\": 46, \"d\": 6}", "seed": "2887100233028869518", "semantic_fingerprint": "sha256:6d116385cb1dab911f8c1cb25add99bd9444caaa1128a5eac4cda45dd2136ef0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000533", "prompt": "What is (-541 + 99 - (-9)) / (73 * (22 - 7))?", "solution_steps": ["Add: -541 + 99 = -442", "Subtract: -442 - (-9) = -433", "Subtract: 22 - 7 = 15", "Multiply: 73 * 15 = 1095", "Divide: -433 / 1095 = -433/1095"], "final_answer": "-433/1095", "answer_type": "rational", "kind": "expression", "math_text": "(-541 + 99 - (-9)) / (73 * (22 - 7))", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ n n) n) (* n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -541, \"b\": 99, \"c\": -9, \"d\": 73, \"e\": 22, \"f\": 7}", "seed": "2053371506810484104", "semantic_fingerprint": "sha256:9a084f83b38ee11b9f9770e3be1948b0b7e9fad75432fd7b316203ccc5e65800", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000534", "prompt": "Solve the equation 2(x - 71) - 26 = 8(x - 5) - 182 for x.", "solution_steps": ["Expand: 2x - 142 - 26 = 8(x - 5) - 182", "Expand: 2x - 142 - 26 = 8x - 40 - 182", "Combine constants: 2x - 168 = 8x - 40 - 182", "Combine constants: 2x - 168 = 8x - 222", "Subtract 8x from both sides: -6x - 168 = -222", "Add 168 to both sides: -6x = -54", "Divide both sides by -6: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 71) - 26 = 8(x - 5) - 182", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 71, \"c\": 26, \"d\": 8, \"e\": 5, \"g\": -182, \"x\": 9}", "seed": "15105234371040425347", "semantic_fingerprint": "sha256:c3e8d1eded12bdbd88bbd7c9869eb2bbde59df2dd7ef62c4b4737f65f5afb320", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000535", "prompt": "Find x: 8(x - 36) + 372 = 4x + 12", "solution_steps": ["Expand: 8x - 288 + 372 = 4x + 12", "Combine constants: 8x + 84 = 4x + 12", "Subtract 4x from both sides: 4x + 84 = 12", "Subtract 84 from both sides: 4x = -72", "Divide both sides by 4: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 36) + 372 = 4x + 12", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 36, \"c\": 372, \"d\": 4, \"f\": 12, \"x\": -18}", "seed": "16536097127156819630", "semantic_fingerprint": "sha256:2bf96ea476a6d354f83a2620c12cfff273dff2ae28b5c4c8a2f3871c342bc9c2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000536", "prompt": "Calculate: (781 + (-5 - (-4))) / (-57 - 0 - 129)", "solution_steps": ["Subtract: -5 - (-4) = -1", "Add: 781 + (-1) = 780", "Subtract: -57 - 0 = -57", "Subtract: -57 - 129 = -186", "Divide: 780 / (-186) = -130/31"], "final_answer": "-130/31", "answer_type": "rational", "kind": "expression", "math_text": "(781 + (-5 - (-4))) / (-57 - 0 - 129)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (- n n)) (- (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 781, \"b\": -5, \"c\": -4, \"d\": -57, \"e\": 0, \"f\": 129}", "seed": "7949016103983110365", "semantic_fingerprint": "sha256:0963a1124478dee6a7bd95bb943d1f78df31a9d93e3c9ebccad77e90dca9ed66", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000537", "prompt": "Solve for x: 6(x - 9) + 791 = -12x + 953", "solution_steps": ["Expand: 6x - 54 + 791 = -12x + 953", "Combine constants: 6x + 737 = -12x + 953", "Add 12x to both sides: 18x + 737 = 953", "Subtract 737 from both sides: 18x = 216", "Divide both sides by 18: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 9) + 791 = -12x + 953", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 791, \"d\": -12, \"f\": 953, \"x\": 12}", "seed": "11760315887956132589", "semantic_fingerprint": "sha256:d238c1fce6e81a2d2498141ea70dfa0fe946ec9f8288a92aebc3399abe4e044b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000538", "prompt": "Evaluate: (-24 + (-530) - (-6)) / (-54) + 8", "solution_steps": ["Add: -24 + (-530) = -554", "Subtract: -554 - (-6) = -548", "Divide: -548 / (-54) = 274/27", "Add: 274/27 + 8 = 490/27"], "final_answer": "490/27", "answer_type": "rational", "kind": "expression", "math_text": "(-24 + (-530) - (-6)) / (-54) + 8", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": -530, \"c\": -6, \"d\": -54, \"e\": 8}", "seed": "16516253414442983893", "semantic_fingerprint": "sha256:122429925a8230047af84d1fe1c36778326db1333bf6bf4ff5865253689cd6e9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000539", "prompt": "Calculate: (-93 - 265 - (-3 - 53)) / 71", "solution_steps": ["Subtract: -93 - 265 = -358", "Subtract: -3 - 53 = -56", "Subtract: -358 - (-56) = -302", "Divide: -302 / 71 = -302/71"], "final_answer": "-302/71", "answer_type": "rational", "kind": "expression", "math_text": "(-93 - 265 - (-3 - 53)) / 71", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": 265, \"c\": -3, \"d\": 53, \"e\": 71}", "seed": "9282000944224715991", "semantic_fingerprint": "sha256:c6b7828b6808667e4e4c777e2bd0337ddfe196970f000c224f0914cf31400279", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000540", "prompt": "Find x: x - 83 = 7(x - 77) + 420", "solution_steps": ["Expand: x - 83 = 7x - 539 + 420", "Combine constants: x - 83 = 7x - 119", "Subtract 7x from both sides: -6x - 83 = -119", "Add 83 to both sides: -6x = -36", "Divide both sides by -6: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 83 = 7(x - 77) + 420", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 7, \"c\": 77, \"e\": 420, \"x\": 6}", "seed": "4738713421089956028", "semantic_fingerprint": "sha256:1e6192b9facdcbc84cddda731de8cd71e67a08396c02cbf753a4a30684929ab9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000541", "prompt": "Evaluate: 0 * (964 / 911 - 47 - (-71))", "solution_steps": ["Divide: 964 / 911 = 964/911", "Subtract: 964/911 - 47 = -41853/911", "Subtract: -41853/911 - (-71) = 22828/911", "Multiply: 0 * (22828/911) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (964 / 911 - 47 - (-71))", "variable": null, "family": "expression_4op", "shape": "(* n (- (- (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 964, \"c\": 911, \"d\": 47, \"e\": -71}", "seed": "8055208684015555305", "semantic_fingerprint": "sha256:546a607db55ba7cf0965e6a1164efe1810c8a3d97efd04c975706a81af9b17d0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000542", "prompt": "What is -6 * (70 * (-6)) - (-443)?", "solution_steps": ["Multiply: 70 * (-6) = -420", "Multiply: -6 * (-420) = 2520", "Subtract: 2520 - (-443) = 2963"], "final_answer": "2963", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (70 * (-6)) - (-443)", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 70, \"c\": -6, \"d\": -443}", "seed": "4442477198958929779", "semantic_fingerprint": "sha256:e836b474aa1a6bf1dcf9bf03572e7cebbeda3d7c601a3a8e99bb7c66bc1c9b32", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000543", "prompt": "What is 55 + (11 + (-3)) - (-9)?", "solution_steps": ["Add: 11 + (-3) = 8", "Add: 55 + 8 = 63", "Subtract: 63 - (-9) = 72"], "final_answer": "72", "answer_type": "integer", "kind": "expression", "math_text": "55 + (11 + (-3)) - (-9)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 11, \"c\": -3, \"d\": -9}", "seed": "8549990149400070226", "semantic_fingerprint": "sha256:680ffd430236595ae0a4c6fa70f785fd5a565aa1bb238de8e088d806e91d9c36", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000544", "prompt": "What is -511 * (-4 * 0 * (515 - 86))?", "solution_steps": ["Multiply: -4 * 0 = 0", "Subtract: 515 - 86 = 429", "Multiply: 0 * 429 = 0", "Multiply: -511 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-511 * (-4 * 0 * (515 - 86))", "variable": null, "family": "expression_4op", "shape": "(* n (* (* n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -511, \"b\": -4, \"c\": 0, \"d\": 515, \"e\": 86}", "seed": "11149897283718007945", "semantic_fingerprint": "sha256:39ff2e392627e9ec448be8f8555c6011ef27a91cf151d524f137408c56a2ccac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000545", "prompt": "What value of x satisfies 5(x - 6) + 37 = 7x + 68?", "solution_steps": ["Expand: 5x - 30 + 37 = 7x + 68", "Combine constants: 5x + 7 = 7x + 68", "Subtract 7x from both sides: -2x + 7 = 68", "Subtract 7 from both sides: -2x = 61", "Divide both sides by -2: x = -61/2"], "final_answer": "-61/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 6) + 37 = 7x + 68", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": 37, \"d\": 7, \"e\": 68}", "seed": "10664303768800538545", "semantic_fingerprint": "sha256:98ae11e6d0c7ed89213acd961d384f18ef8ab21fb345f6049ed3c0b8ee995c85", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000546", "prompt": "Solve for x: x - 9 = -6(x - 1) + 41", "solution_steps": ["Expand: x - 9 = -6x + 6 + 41", "Combine constants: x - 9 = -6x + 47", "Add 6x to both sides: 7x - 9 = 47", "Add 9 to both sides: 7x = 56", "Divide both sides by 7: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9 = -6(x - 1) + 41", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -6, \"c\": 1, \"e\": 41, \"x\": 8}", "seed": "12245863744406242394", "semantic_fingerprint": "sha256:342b7b6b769a26ff9c182f0b2c7a3f49c4991e5ad9e5c9d59a5ca0403382e140", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000547", "prompt": "Calculate: -26 - (-12 * (-809) + 61)", "solution_steps": ["Multiply: -12 * (-809) = 9708", "Add: 9708 + 61 = 9769", "Subtract: -26 - 9769 = -9795"], "final_answer": "-9795", "answer_type": "integer", "kind": "expression", "math_text": "-26 - (-12 * (-809) + 61)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": -12, \"c\": -809, \"d\": 61}", "seed": "3510781922708383633", "semantic_fingerprint": "sha256:516cf3c9b2962fcfd70a432710617addf02e312b6896d99ae01d2261cf58afb1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000548", "prompt": "Evaluate: (88 - 9) / (-1 * (-56))", "solution_steps": ["Subtract: 88 - 9 = 79", "Multiply: -1 * (-56) = 56", "Divide: 79 / 56 = 79/56"], "final_answer": "79/56", "answer_type": "rational", "kind": "expression", "math_text": "(88 - 9) / (-1 * (-56))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 9, \"c\": -1, \"d\": -56}", "seed": "7185009838530534970", "semantic_fingerprint": "sha256:cf8d545b8da44c5ccd07bf912c0d0446322e14bde191ed11bcc6cdd71fcddffa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000549", "prompt": "Compute: (-2 + 71) / (-3 / 1 / 1) * 90", "solution_steps": ["Add: -2 + 71 = 69", "Divide: -3 / 1 = -3", "Divide: -3 / 1 = -3", "Divide: 69 / (-3) = -23", "Multiply: -23 * 90 = -2070"], "final_answer": "-2070", "answer_type": "integer", "kind": "expression", "math_text": "(-2 + 71) / (-3 / 1 / 1) * 90", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ n n) (/ (/ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 71, \"c\": -3, \"d\": 1, \"e\": 1, \"f\": 90}", "seed": "7867897501069199567", "semantic_fingerprint": "sha256:0d6871e45a9fb0a65f4a2c09b722cc3c145ec5bdb15718037d320ab484264573", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000550", "prompt": "Solve for x: 8x - 300 = -8(x + 31) + 28", "solution_steps": ["Expand: 8x - 300 = -8x - 248 + 28", "Combine constants: 8x - 300 = -8x - 220", "Add 8x to both sides: 16x - 300 = -220", "Add 300 to both sides: 16x = 80", "Divide both sides by 16: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 300 = -8(x + 31) + 28", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 300, \"c\": -8, \"d\": 31, \"f\": 28, \"x\": 5}", "seed": "7775702693788176827", "semantic_fingerprint": "sha256:b5279da876cba9028acc600304fe95291c9db23475f43ff78d3e511cbdeb40b4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000551", "prompt": "Compute: (-78 + (-848)) / (460 - (-4 - 5))", "solution_steps": ["Add: -78 + (-848) = -926", "Subtract: -4 - 5 = -9", "Subtract: 460 - (-9) = 469", "Divide: -926 / 469 = -926/469"], "final_answer": "-926/469", "answer_type": "rational", "kind": "expression", "math_text": "(-78 + (-848)) / (460 - (-4 - 5))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -848, \"c\": 460, \"d\": -4, \"e\": 5}", "seed": "2115017564810685391", "semantic_fingerprint": "sha256:16f5b653eaaf649b0a6acd69882be9ccd6dffd11304583e79529d9cc13af695f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000552", "prompt": "Solve for x: x - 29 = 11(x - 7) + 68", "solution_steps": ["Expand: x - 29 = 11x - 77 + 68", "Combine constants: x - 29 = 11x - 9", "Subtract 11x from both sides: -10x - 29 = -9", "Add 29 to both sides: -10x = 20", "Divide both sides by -10: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 29 = 11(x - 7) + 68", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 11, \"c\": 7, \"e\": 68, \"x\": -2}", "seed": "18046262751881322583", "semantic_fingerprint": "sha256:077cefe4d3af85005741fd7bcf079f687467f10b3a656cb200d50ca57caeecb5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000553", "prompt": "Compute: 918 * (-344) - (17 - (-93 + (-4)))", "solution_steps": ["Multiply: 918 * (-344) = -315792", "Add: -93 + (-4) = -97", "Subtract: 17 - (-97) = 114", "Subtract: -315792 - 114 = -315906"], "final_answer": "-315906", "answer_type": "integer", "kind": "expression", "math_text": "918 * (-344) - (17 - (-93 + (-4)))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 918, \"b\": -344, \"c\": 17, \"d\": -93, \"e\": -4}", "seed": "16377269158289056431", "semantic_fingerprint": "sha256:9575463003549b6d707493e572c3a2b3a1310f63de66bdea34fab99b34db9d2c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000554", "prompt": "Calculate: (-250 + 62 - (-66) / 2) / 3", "solution_steps": ["Add: -250 + 62 = -188", "Divide: -66 / 2 = -33", "Subtract: -188 - (-33) = -155", "Divide: -155 / 3 = -155/3"], "final_answer": "-155/3", "answer_type": "rational", "kind": "expression", "math_text": "(-250 + 62 - (-66) / 2) / 3", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -250, \"b\": 62, \"c\": -66, \"d\": 2, \"e\": 3}", "seed": "7963931989876098372", "semantic_fingerprint": "sha256:c65877ef747a7e7b827ec4d21b39bcec50031c80f2f50ebea7bcd863d51827ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000555", "prompt": "What is 31 + (-255) * 7 - 19 + (-23)?", "solution_steps": ["Multiply: -255 * 7 = -1785", "Add: 31 + (-1785) = -1754", "Subtract: -1754 - 19 = -1773", "Add: -1773 + (-23) = -1796"], "final_answer": "-1796", "answer_type": "integer", "kind": "expression", "math_text": "31 + (-255) * 7 - 19 + (-23)", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": -255, \"c\": 7, \"d\": 19, \"e\": -23}", "seed": "8430490350658838375", "semantic_fingerprint": "sha256:2b0bdc3300279bae2bb03dc7abdf22a0a38efaec7df7851351e1f2e94e4c9937", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000556", "prompt": "What is 2 * 3 * ((5 * 61 - 112) * (-45))?", "solution_steps": ["Multiply: 2 * 3 = 6", "Multiply: 5 * 61 = 305", "Subtract: 305 - 112 = 193", "Multiply: 193 * (-45) = -8685", "Multiply: 6 * (-8685) = -52110"], "final_answer": "-52110", "answer_type": "integer", "kind": "expression", "math_text": "2 * 3 * ((5 * 61 - 112) * (-45))", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (* (- (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 5, \"d\": 61, \"e\": 112, \"f\": -45}", "seed": "14089387042880078589", "semantic_fingerprint": "sha256:4ce421e01b3514951677b7a4433aba02ed4d6ce874b678105879f4f7ba25d4f4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000557", "prompt": "Solve the equation x - 221 = 10(x - 45) + 292 for x.", "solution_steps": ["Expand: x - 221 = 10x - 450 + 292", "Combine constants: x - 221 = 10x - 158", "Subtract 10x from both sides: -9x - 221 = -158", "Add 221 to both sides: -9x = 63", "Divide both sides by -9: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 221 = 10(x - 45) + 292", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 221, \"b\": 10, \"c\": 45, \"e\": 292, \"x\": -7}", "seed": "12565045396415253976", "semantic_fingerprint": "sha256:b2cdd85f5a32db382c80b315419b59f7ebf7b915e2be688591ba6c3a7ad5f3ed", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000558", "prompt": "What is -6 - (-7 - 32 / (-3) - (-9 + (-7)))?", "solution_steps": ["Divide: 32 / (-3) = -32/3", "Subtract: -7 - (-32/3) = 11/3", "Add: -9 + (-7) = -16", "Subtract: 11/3 - (-16) = 59/3", "Subtract: -6 - 59/3 = -77/3"], "final_answer": "-77/3", "answer_type": "rational", "kind": "expression", "math_text": "-6 - (-7 - 32 / (-3) - (-9 + (-7)))", "variable": null, "family": "expression_5op", "shape": "(- n (- (- n (/ n n)) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -7, \"c\": 32, \"d\": -3, \"e\": -9, \"f\": -7}", "seed": "11496698289818237165", "semantic_fingerprint": "sha256:3d306b56b8a691cb13d5f053cdfe860dcbc9bf1cada42570edf92eeba7332779", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000559", "prompt": "Calculate: 97 - (-985) + 916 + (-582) * 97", "solution_steps": ["Subtract: 97 - (-985) = 1082", "Add: 1082 + 916 = 1998", "Multiply: -582 * 97 = -56454", "Add: 1998 + (-56454) = -54456"], "final_answer": "-54456", "answer_type": "integer", "kind": "expression", "math_text": "97 - (-985) + 916 + (-582) * 97", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": -985, \"c\": 916, \"d\": -582, \"e\": 97}", "seed": "11416131733832351428", "semantic_fingerprint": "sha256:3524e515136401397286cc19338161b0ae6592714fd4e86b617d8df8697fff7e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000560", "prompt": "Evaluate: -87 * (-7) / (576 / 30) / 8", "solution_steps": ["Multiply: -87 * (-7) = 609", "Divide: 576 / 30 = 96/5", "Divide: 609 / (96/5) = 1015/32", "Divide: (1015/32) / 8 = 1015/256"], "final_answer": "1015/256", "answer_type": "rational", "kind": "expression", "math_text": "-87 * (-7) / (576 / 30) / 8", "variable": null, "family": "expression_4op", "shape": "(/ (/ (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": -7, \"c\": 576, \"d\": 30, \"e\": 8}", "seed": "14892759977259055669", "semantic_fingerprint": "sha256:36afe55cc979b958424e68502ce33c3a6d32af3cef947be6513dcbddab18c461", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000561", "prompt": "Solve for x: x - 2 = 2(x - 47) + 89", "solution_steps": ["Expand: x - 2 = 2x - 94 + 89", "Combine constants: x - 2 = 2x - 5", "Subtract 2x from both sides: -x - 2 = -5", "Add 2 to both sides: -x = -3", "Divide both sides by -1: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2 = 2(x - 47) + 89", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 47, \"e\": 89, \"x\": 3}", "seed": "17740855379254029335", "semantic_fingerprint": "sha256:30df8164a43be2b86cf2e64242cb70cad13bf2699b98f4ab4cf0a0b13286de3f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000562", "prompt": "What value of x satisfies 5(x - 56) + 444 = 3(x + 75) - 97?", "solution_steps": ["Expand: 5x - 280 + 444 = 3(x + 75) - 97", "Expand: 5x - 280 + 444 = 3x + 225 - 97", "Combine constants: 5x + 164 = 3x + 225 - 97", "Combine constants: 5x + 164 = 3x + 128", "Subtract 3x from both sides: 2x + 164 = 128", "Subtract 164 from both sides: 2x = -36", "Divide both sides by 2: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 56) + 444 = 3(x + 75) - 97", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 56, \"c\": 444, \"d\": 3, \"e\": 75, \"g\": -97, \"x\": -18}", "seed": "15767023206351500673", "semantic_fingerprint": "sha256:5c4bf60426427e0282b7edd75b542ce9468c3a9a69325fc964657730d6d69def", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000563", "prompt": "Compute: 56 / (-45) / (-82 * (7 / 72))", "solution_steps": ["Divide: 56 / (-45) = -56/45", "Divide: 7 / 72 = 7/72", "Multiply: -82 * (7/72) = -287/36", "Divide: (-56/45) / (-287/36) = 32/205"], "final_answer": "32/205", "answer_type": "rational", "kind": "expression", "math_text": "56 / (-45) / (-82 * (7 / 72))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (* n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": -45, \"c\": -82, \"d\": 7, \"e\": 72}", "seed": "3809554666498856569", "semantic_fingerprint": "sha256:534b6aceca4f9e97e3268a0ebe35b71b07d5e141b22c8cba628d31890b274887", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000564", "prompt": "Compute: (46 - 5 / (-8)) / 705", "solution_steps": ["Divide: 5 / (-8) = -5/8", "Subtract: 46 - (-5/8) = 373/8", "Divide: (373/8) / 705 = 373/5640"], "final_answer": "373/5640", "answer_type": "rational", "kind": "expression", "math_text": "(46 - 5 / (-8)) / 705", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": 5, \"c\": -8, \"d\": 705}", "seed": "5496625635142250033", "semantic_fingerprint": "sha256:8fa6271afa515bc7f323a2e0fb65d20ad2e10c10744c300d7da49d9c553a0249", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000565", "prompt": "Calculate: -48 + (-4) / (-85 - 768)", "solution_steps": ["Subtract: -85 - 768 = -853", "Divide: -4 / (-853) = 4/853", "Add: -48 + 4/853 = -40940/853"], "final_answer": "-40940/853", "answer_type": "rational", "kind": "expression", "math_text": "-48 + (-4) / (-85 - 768)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": -4, \"c\": -85, \"d\": 768}", "seed": "7690405868048590402", "semantic_fingerprint": "sha256:5f16419144221adfe3e0f3b076bb77457c3ed678b3267cc37d501d55c1bf850b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000566", "prompt": "Solve for x: 4(x - 1) - 2 = -12(x - 2) - 46", "solution_steps": ["Expand: 4x - 4 - 2 = -12(x - 2) - 46", "Expand: 4x - 4 - 2 = -12x + 24 - 46", "Combine constants: 4x - 6 = -12x + 24 - 46", "Combine constants: 4x - 6 = -12x - 22", "Add 12x to both sides: 16x - 6 = -22", "Add 6 to both sides: 16x = -16", "Divide both sides by 16: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 1) - 2 = -12(x - 2) - 46", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 2, \"d\": -12, \"e\": 2, \"g\": -46, \"x\": -1}", "seed": "1063342481138123275", "semantic_fingerprint": "sha256:bdc308ed2460a9d9c3f660e5b9e283d7ee5a6c5166999bc1a914f131c75c2dbb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000567", "prompt": "What is (-98 - (88 - (-99))) / 88 / 43?", "solution_steps": ["Subtract: 88 - (-99) = 187", "Subtract: -98 - 187 = -285", "Divide: -285 / 88 = -285/88", "Divide: (-285/88) / 43 = -285/3784"], "final_answer": "-285/3784", "answer_type": "rational", "kind": "expression", "math_text": "(-98 - (88 - (-99))) / 88 / 43", "variable": null, "family": "expression_4op", "shape": "(/ (/ (- n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": 88, \"c\": -99, \"d\": 88, \"e\": 43}", "seed": "10574355494798601100", "semantic_fingerprint": "sha256:8cd920d39cd73da6406fe4fa4e86c53b8c8baeba05669da1da5cb0474708bbda", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000568", "prompt": "Evaluate: 9 * ((5 - (-7)) / (-56 / 274))", "solution_steps": ["Subtract: 5 - (-7) = 12", "Divide: -56 / 274 = -28/137", "Divide: 12 / (-28/137) = -411/7", "Multiply: 9 * (-411/7) = -3699/7"], "final_answer": "-3699/7", "answer_type": "rational", "kind": "expression", "math_text": "9 * ((5 - (-7)) / (-56 / 274))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": -7, \"d\": -56, \"e\": 274}", "seed": "11710034046150460556", "semantic_fingerprint": "sha256:5938cbb6d2377d013c6759fcf8e5dbe13b1e7877b8339b5505347291e2ca6fd4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000569", "prompt": "What value of x satisfies -3(x + 94) - 9 = x - 231?", "solution_steps": ["Expand: -3x - 282 - 9 = x - 231", "Combine constants: -3x - 291 = x - 231", "Subtract x from both sides: -4x - 291 = -231", "Add 291 to both sides: -4x = 60", "Divide both sides by -4: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 94) - 9 = x - 231", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 94, \"c\": 9, \"e\": -231, \"x\": -15}", "seed": "7975238838032243148", "semantic_fingerprint": "sha256:82c41a602743ff445045a21e217cbee0773c3dc07ef59494c9a3069b889ed453", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000570", "prompt": "Compute: -726 * (6 / (-22) / (-97))", "solution_steps": ["Divide: 6 / (-22) = -3/11", "Divide: (-3/11) / (-97) = 3/1067", "Multiply: -726 * (3/1067) = -198/97"], "final_answer": "-198/97", "answer_type": "rational", "kind": "expression", "math_text": "-726 * (6 / (-22) / (-97))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -726, \"b\": 6, \"c\": -22, \"d\": -97}", "seed": "11109935465371776709", "semantic_fingerprint": "sha256:1e8c33a4126f0e094d7b994cae56cd30624672468d9f674088824c6df0d32cd4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000571", "prompt": "Find x: 12(x - 4) = 10x - 36", "solution_steps": ["Expand: 12x - 48 = 10x - 36", "Subtract 10x from both sides: 2x - 48 = -36", "Add 48 to both sides: 2x = 12", "Divide both sides by 2: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 4) = 10x - 36", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": 10, \"e\": -36, \"x\": 6}", "seed": "3815698548240521078", "semantic_fingerprint": "sha256:0fd1cdfce576cf7ff2d927b74cc2f067761992cebbfd9983fccaa07ad906827d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000572", "prompt": "Solve the equation 2(x + 47) + 19 = 9(x + 9) - 65 for x.", "solution_steps": ["Expand: 2x + 94 + 19 = 9(x + 9) - 65", "Expand: 2x + 94 + 19 = 9x + 81 - 65", "Combine constants: 2x + 113 = 9x + 81 - 65", "Combine constants: 2x + 113 = 9x + 16", "Subtract 9x from both sides: -7x + 113 = 16", "Subtract 113 from both sides: -7x = -97", "Divide both sides by -7: x = 97/7"], "final_answer": "97/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 47) + 19 = 9(x + 9) - 65", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 47, \"c\": 19, \"d\": 9, \"e\": 9, \"f\": 65}", "seed": "2041120728439991641", "semantic_fingerprint": "sha256:9f48324df3add4e23f8c00168ec3a47675db1e75816435e59b2bd8221593da6a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000573", "prompt": "Compute: -29 / (-43 - (-60) - 927)", "solution_steps": ["Subtract: -43 - (-60) = 17", "Subtract: 17 - 927 = -910", "Divide: -29 / (-910) = 29/910"], "final_answer": "29/910", "answer_type": "rational", "kind": "expression", "math_text": "-29 / (-43 - (-60) - 927)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": -43, \"c\": -60, \"d\": 927}", "seed": "3904553274935589680", "semantic_fingerprint": "sha256:d1559edc329c4c8ce99b04fedfc1a74869b52d29d6c11f7f8dd2e5eb332964bc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000574", "prompt": "Evaluate: -1 * (-1) + (-94 - 9 / 230)", "solution_steps": ["Multiply: -1 * (-1) = 1", "Divide: 9 / 230 = 9/230", "Subtract: -94 - 9/230 = -21629/230", "Add: 1 + (-21629/230) = -21399/230"], "final_answer": "-21399/230", "answer_type": "rational", "kind": "expression", "math_text": "-1 * (-1) + (-94 - 9 / 230)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -1, \"c\": -94, \"d\": 9, \"e\": 230}", "seed": "8559682000439854683", "semantic_fingerprint": "sha256:a87f5b8c993679c5628cec0d844ca4314fe4134d6bfd9e4588a09d3d5a1a5674", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000575", "prompt": "Solve the equation -2(x + 8) - 306 = x - 265 for x.", "solution_steps": ["Expand: -2x - 16 - 306 = x - 265", "Combine constants: -2x - 322 = x - 265", "Subtract x from both sides: -3x - 322 = -265", "Add 322 to both sides: -3x = 57", "Divide both sides by -3: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 8) - 306 = x - 265", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 8, \"c\": 306, \"e\": -265, \"x\": -19}", "seed": "14576439286231871100", "semantic_fingerprint": "sha256:17660e4f5ab71db52aefcb030958609444766520bb1c9117ced963c6b1ff066e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000576", "prompt": "Solve the equation -4(x - 8) + 692 = 9(x + 84) - 517 for x.", "solution_steps": ["Expand: -4x + 32 + 692 = 9(x + 84) - 517", "Expand: -4x + 32 + 692 = 9x + 756 - 517", "Combine constants: -4x + 724 = 9x + 756 - 517", "Combine constants: -4x + 724 = 9x + 239", "Subtract 9x from both sides: -13x + 724 = 239", "Subtract 724 from both sides: -13x = -485", "Divide both sides by -13: x = 485/13"], "final_answer": "485/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 8) + 692 = 9(x + 84) - 517", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 8, \"c\": 692, \"d\": 9, \"e\": 84, \"f\": 517}", "seed": "14504759580712923318", "semantic_fingerprint": "sha256:0a65098169409fde2c9863af6f6a5f1880afb5c0a7c8b16f38b399433ce8717c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000577", "prompt": "Compute: (-4 - (-75)) * 3 * 28", "solution_steps": ["Subtract: -4 - (-75) = 71", "Multiply: 71 * 3 = 213", "Multiply: 213 * 28 = 5964"], "final_answer": "5964", "answer_type": "integer", "kind": "expression", "math_text": "(-4 - (-75)) * 3 * 28", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -75, \"c\": 3, \"d\": 28}", "seed": "12141283558680663244", "semantic_fingerprint": "sha256:b6fc12e104bcaa3aab90ac56fe0989877a016095422419f9935ae0f26218410b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000578", "prompt": "Compute: -69 / ((350 - 89) / 29) - 57", "solution_steps": ["Subtract: 350 - 89 = 261", "Divide: 261 / 29 = 9", "Divide: -69 / 9 = -23/3", "Subtract: -23/3 - 57 = -194/3"], "final_answer": "-194/3", "answer_type": "rational", "kind": "expression", "math_text": "-69 / ((350 - 89) / 29) - 57", "variable": null, "family": "expression_4op", "shape": "(- (/ n (/ (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": 350, \"c\": 89, \"d\": 29, \"e\": 57}", "seed": "18001715367280912510", "semantic_fingerprint": "sha256:85942da0b419cd264e830cf83d96fa6eec32e580c00d942a0bf05d9647e68858", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000579", "prompt": "What is (4 + 46) / (-775) + 0 / (-718) * (-2)?", "solution_steps": ["Add: 4 + 46 = 50", "Divide: 50 / (-775) = -2/31", "Divide: 0 / (-718) = 0", "Multiply: 0 * (-2) = 0", "Add: -2/31 + 0 = -2/31"], "final_answer": "-2/31", "answer_type": "rational", "kind": "expression", "math_text": "(4 + 46) / (-775) + 0 / (-718) * (-2)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ n n) n) (* (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 46, \"c\": -775, \"d\": 0, \"e\": -718, \"f\": -2}", "seed": "13858072088931875074", "semantic_fingerprint": "sha256:1f616486803f599a3dd18bf028ed05a620e2792b9b2a4622d3bbf78d7f3a1ec9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000580", "prompt": "Solve for x: -5(x + 88) - 7 = x - 507", "solution_steps": ["Expand: -5x - 440 - 7 = x - 507", "Combine constants: -5x - 447 = x - 507", "Subtract x from both sides: -6x - 447 = -507", "Add 447 to both sides: -6x = -60", "Divide both sides by -6: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 88) - 7 = x - 507", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 88, \"c\": 7, \"e\": -507, \"x\": 10}", "seed": "9687229395542195703", "semantic_fingerprint": "sha256:b0b53f7172ec9619f2526e7b883a8310027683db78604a271f5efd0286cdfcce", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000581", "prompt": "What is -391 + (-88) - (-1) + 934?", "solution_steps": ["Add: -391 + (-88) = -479", "Subtract: -479 - (-1) = -478", "Add: -478 + 934 = 456"], "final_answer": "456", "answer_type": "integer", "kind": "expression", "math_text": "-391 + (-88) - (-1) + 934", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -391, \"b\": -88, \"c\": -1, \"d\": 934}", "seed": "11811807935344691811", "semantic_fingerprint": "sha256:a401432903d4956e6be03dc3b3d6c386c8cce2a7b790e2baf1cd2d1d02a3e5b5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000582", "prompt": "Calculate: -279 + (-42) - (-480) / (-7 - (-99))", "solution_steps": ["Add: -279 + (-42) = -321", "Subtract: -7 - (-99) = 92", "Divide: -480 / 92 = -120/23", "Subtract: -321 - (-120/23) = -7263/23"], "final_answer": "-7263/23", "answer_type": "rational", "kind": "expression", "math_text": "-279 + (-42) - (-480) / (-7 - (-99))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -279, \"b\": -42, \"c\": -480, \"d\": -7, \"e\": -99}", "seed": "10726081793066176898", "semantic_fingerprint": "sha256:2975fcfab80eae918c36727d08883b47a4c9386cad418165e7cf0ca13f309519", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000583", "prompt": "Compute: (-8 - (-23)) / ((-21 - 3) * (-42) / 7)", "solution_steps": ["Subtract: -8 - (-23) = 15", "Subtract: -21 - 3 = -24", "Multiply: -24 * (-42) = 1008", "Divide: 1008 / 7 = 144", "Divide: 15 / 144 = 5/48"], "final_answer": "5/48", "answer_type": "rational", "kind": "expression", "math_text": "(-8 - (-23)) / ((-21 - 3) * (-42) / 7)", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (/ (* (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -23, \"c\": -21, \"d\": 3, \"e\": -42, \"f\": 7}", "seed": "6482979879511584591", "semantic_fingerprint": "sha256:60450fb41c97437a6435aa5600e6c65b4804b51772ae28ae447a7705a3dd4912", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000584", "prompt": "Solve the equation 9(x - 1) = 5x - 89 for x.", "solution_steps": ["Expand: 9x - 9 = 5x - 89", "Subtract 5x from both sides: 4x - 9 = -89", "Add 9 to both sides: 4x = -80", "Divide both sides by 4: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 1) = 5x - 89", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 1, \"c\": 5, \"e\": -89, \"x\": -20}", "seed": "7838222864940102042", "semantic_fingerprint": "sha256:4b93376db3ae1d9e127105a2b36687387edab14be2580c4a397b3e86a02fe6b4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000585", "prompt": "What is -6 * (-843) / (48 + (-5))?", "solution_steps": ["Multiply: -6 * (-843) = 5058", "Add: 48 + (-5) = 43", "Divide: 5058 / 43 = 5058/43"], "final_answer": "5058/43", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (-843) / (48 + (-5))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -843, \"c\": 48, \"d\": -5}", "seed": "14921667704537632829", "semantic_fingerprint": "sha256:690baa82bcdaa07a7bbc0d72ec4c43b5541d296d0c4ebd25913c2d2ee9ad9bac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000586", "prompt": "Solve for x: 8(x - 68) + 107 = 5(x - 85)", "solution_steps": ["Expand: 8x - 544 + 107 = 5(x - 85)", "Expand: 8x - 544 + 107 = 5x - 425", "Combine constants: 8x - 437 = 5x - 425", "Subtract 5x from both sides: 3x - 437 = -425", "Add 437 to both sides: 3x = 12", "Divide both sides by 3: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 68) + 107 = 5(x - 85)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 68, \"c\": 5, \"d\": 85, \"f\": 107, \"x\": 4}", "seed": "9531151343815065597", "semantic_fingerprint": "sha256:4f3f170a218086786cebc783d6f5b868f5e073be92d77eb22862e92459f4356a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000587", "prompt": "Evaluate: 6 / (-51 / (-259)) / ((-79 - 51) * (-9))", "solution_steps": ["Divide: -51 / (-259) = 51/259", "Divide: 6 / (51/259) = 518/17", "Subtract: -79 - 51 = -130", "Multiply: -130 * (-9) = 1170", "Divide: (518/17) / 1170 = 259/9945"], "final_answer": "259/9945", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-51 / (-259)) / ((-79 - 51) * (-9))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n (/ n n)) (* (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -51, \"c\": -259, \"d\": -79, \"e\": 51, \"f\": -9}", "seed": "4183514171864988384", "semantic_fingerprint": "sha256:9d1160d76881a9fbe93a24ef034ac7d4d2fd630ad59c4f16718f8c33ad550e33", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000588", "prompt": "Evaluate: 397 * (-127) / (-9 + 5)", "solution_steps": ["Multiply: 397 * (-127) = -50419", "Add: -9 + 5 = -4", "Divide: -50419 / (-4) = 50419/4"], "final_answer": "50419/4", "answer_type": "rational", "kind": "expression", "math_text": "397 * (-127) / (-9 + 5)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 397, \"b\": -127, \"c\": -9, \"d\": 5}", "seed": "11021089540461377072", "semantic_fingerprint": "sha256:92b88d124efcf291adb59132f3259b2c4fb3e0554920d425452ee5e8f9741bd3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000589", "prompt": "Calculate: (50 + 55) * (-73) - 80 * 785 / 29", "solution_steps": ["Add: 50 + 55 = 105", "Multiply: 105 * (-73) = -7665", "Multiply: 80 * 785 = 62800", "Divide: 62800 / 29 = 62800/29", "Subtract: -7665 - 62800/29 = -285085/29"], "final_answer": "-285085/29", "answer_type": "rational", "kind": "expression", "math_text": "(50 + 55) * (-73) - 80 * 785 / 29", "variable": null, "family": "expression_5op", "shape": "(- (* (+ n n) n) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": 55, \"c\": -73, \"d\": 80, \"e\": 785, \"f\": 29}", "seed": "16518704354071395392", "semantic_fingerprint": "sha256:020fbc24747939430a02881aff8f25d754561815b8f9972f31a197b6e151cc62", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000590", "prompt": "Compute: 3 - (-38) * (75 / (8 + (-93)))", "solution_steps": ["Add: 8 + (-93) = -85", "Divide: 75 / (-85) = -15/17", "Multiply: -38 * (-15/17) = 570/17", "Subtract: 3 - 570/17 = -519/17"], "final_answer": "-519/17", "answer_type": "rational", "kind": "expression", "math_text": "3 - (-38) * (75 / (8 + (-93)))", "variable": null, "family": "expression_4op", "shape": "(- n (* n (/ n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -38, \"c\": 75, \"d\": 8, \"e\": -93}", "seed": "9822854662716324030", "semantic_fingerprint": "sha256:ea0bef9426f1b597fe2342a6e104667518dadddd040e19ebd1dc0c3424cd2f51", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000591", "prompt": "Compute: (3 - (-56)) / (78 * (-50))", "solution_steps": ["Subtract: 3 - (-56) = 59", "Multiply: 78 * (-50) = -3900", "Divide: 59 / (-3900) = -59/3900"], "final_answer": "-59/3900", "answer_type": "rational", "kind": "expression", "math_text": "(3 - (-56)) / (78 * (-50))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -56, \"c\": 78, \"d\": -50}", "seed": "117662199866313687", "semantic_fingerprint": "sha256:0a2febe7ca918aba8d298cad5f91a64a10a71ff3bea909c00baca16940ae5839", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000592", "prompt": "Find x: -5(x - 896) = -3x - 55", "solution_steps": ["Expand: -5x + 4480 = -3x - 55", "Add 3x to both sides: -2x + 4480 = -55", "Subtract 4480 from both sides: -2x = -4535", "Divide both sides by -2: x = 4535/2"], "final_answer": "4535/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 896) = -3x - 55", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 896, \"c\": -3, \"d\": 55}", "seed": "12676342788097828895", "semantic_fingerprint": "sha256:bfaeccf670b767387bb525274611a3aa8a1bc766c277e83983a510e9fb2c1e8f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000593", "prompt": "Evaluate: 0 / (8 - 53) / 6 + 4", "solution_steps": ["Subtract: 8 - 53 = -45", "Divide: 0 / (-45) = 0", "Divide: 0 / 6 = 0", "Add: 0 + 4 = 4"], "final_answer": "4", "answer_type": "integer", "kind": "expression", "math_text": "0 / (8 - 53) / 6 + 4", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 8, \"c\": 53, \"d\": 6, \"e\": 4}", "seed": "11493963094360078183", "semantic_fingerprint": "sha256:5735b68c5351d281eb78cdbb19668420960e4650fb1e41a341551f4f78d93f3e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000594", "prompt": "Compute: -5 / (-378 - (-237) - (-622))", "solution_steps": ["Subtract: -378 - (-237) = -141", "Subtract: -141 - (-622) = 481", "Divide: -5 / 481 = -5/481"], "final_answer": "-5/481", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-378 - (-237) - (-622))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -378, \"c\": -237, \"d\": -622}", "seed": "14581361364218327879", "semantic_fingerprint": "sha256:1e6ba966c7d2f1fb25f630d166a0f60746123230c5782bc349823daffb6e0107", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000595", "prompt": "Compute: (348 - 5) / (89 * 98)", "solution_steps": ["Subtract: 348 - 5 = 343", "Multiply: 89 * 98 = 8722", "Divide: 343 / 8722 = 7/178"], "final_answer": "7/178", "answer_type": "rational", "kind": "expression", "math_text": "(348 - 5) / (89 * 98)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 348, \"b\": 5, \"c\": 89, \"d\": 98}", "seed": "2815076294005108336", "semantic_fingerprint": "sha256:4ceccb1aeb9a51a08ea0d38cc7e8258a698e299905cff6d52b459216e5e4356a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000596", "prompt": "What is (0 - (-657) + (-2)) * 513?", "solution_steps": ["Subtract: 0 - (-657) = 657", "Add: 657 + (-2) = 655", "Multiply: 655 * 513 = 336015"], "final_answer": "336015", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-657) + (-2)) * 513", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -657, \"c\": -2, \"d\": 513}", "seed": "1215435702957994053", "semantic_fingerprint": "sha256:0859ef324b12554d922d7adc1268540b26fb56805086da62172cfba15143fdcc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000597", "prompt": "Evaluate: (0 / 7 + (-4)) / ((170 + 82) / 8)", "solution_steps": ["Divide: 0 / 7 = 0", "Add: 0 + (-4) = -4", "Add: 170 + 82 = 252", "Divide: 252 / 8 = 63/2", "Divide: -4 / (63/2) = -8/63"], "final_answer": "-8/63", "answer_type": "rational", "kind": "expression", "math_text": "(0 / 7 + (-4)) / ((170 + 82) / 8)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (/ n n) n) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 7, \"c\": -4, \"d\": 170, \"e\": 82, \"f\": 8}", "seed": "5203728947149896623", "semantic_fingerprint": "sha256:b2ac90ffc9440da7775323ce87df59fd64d075c2cf735cb3e8d55389b804c94f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000598", "prompt": "What value of x satisfies 3(x - 46) + 9 = 6x + 1?", "solution_steps": ["Expand: 3x - 138 + 9 = 6x + 1", "Combine constants: 3x - 129 = 6x + 1", "Subtract 6x from both sides: -3x - 129 = 1", "Add 129 to both sides: -3x = 130", "Divide both sides by -3: x = -130/3"], "final_answer": "-130/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 46) + 9 = 6x + 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 46, \"c\": 9, \"d\": 6, \"e\": 1}", "seed": "1499339279058732179", "semantic_fingerprint": "sha256:359f7ad49a23a506172fa1f77286a2d79f8b9702e12ce46397ba889b11004375", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000599", "prompt": "Evaluate: -770 + (-24 * 62 - 876)", "solution_steps": ["Multiply: -24 * 62 = -1488", "Subtract: -1488 - 876 = -2364", "Add: -770 + (-2364) = -3134"], "final_answer": "-3134", "answer_type": "integer", "kind": "expression", "math_text": "-770 + (-24 * 62 - 876)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -770, \"b\": -24, \"c\": 62, \"d\": 876}", "seed": "1801912312654399430", "semantic_fingerprint": "sha256:42af6b0a24cb243b643f6ba8c0e1039d0bff23e10ad115eb42caab55014b38b3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000600", "prompt": "Find x: -12(x + 8) + 90 = -2(x + 33) - 30", "solution_steps": ["Expand: -12x - 96 + 90 = -2(x + 33) - 30", "Expand: -12x - 96 + 90 = -2x - 66 - 30", "Combine constants: -12x - 6 = -2x - 66 - 30", "Combine constants: -12x - 6 = -2x - 96", "Add 2x to both sides: -10x - 6 = -96", "Add 6 to both sides: -10x = -90", "Divide both sides by -10: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 8) + 90 = -2(x + 33) - 30", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 8, \"c\": 90, \"d\": -2, \"e\": 33, \"g\": -30, \"x\": 9}", "seed": "8437425895358788021", "semantic_fingerprint": "sha256:18e91c3fb31220720a1c305f30a9613b0e42c28f75cba37fd42928a5b02d7d4f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000601", "prompt": "Solve the equation 3x - 63 = -10(x + 29) + 209 for x.", "solution_steps": ["Expand: 3x - 63 = -10x - 290 + 209", "Combine constants: 3x - 63 = -10x - 81", "Add 10x to both sides: 13x - 63 = -81", "Add 63 to both sides: 13x = -18", "Divide both sides by 13: x = -18/13"], "final_answer": "-18/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x - 63 = -10(x + 29) + 209", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 63, \"c\": -10, \"d\": 29, \"e\": 209}", "seed": "8032825503570102532", "semantic_fingerprint": "sha256:9100acb08dae54364549162b94e543ecb1cfed4a7a400d5268ff55e2c131298c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000602", "prompt": "Compute: -627 + (563 - (247 - 823) * (-42))", "solution_steps": ["Subtract: 247 - 823 = -576", "Multiply: -576 * (-42) = 24192", "Subtract: 563 - 24192 = -23629", "Add: -627 + (-23629) = -24256"], "final_answer": "-24256", "answer_type": "integer", "kind": "expression", "math_text": "-627 + (563 - (247 - 823) * (-42))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (* (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -627, \"b\": 563, \"c\": 247, \"d\": 823, \"e\": -42}", "seed": "9429732361983059869", "semantic_fingerprint": "sha256:8d24985d84bd5215fdd2ca5d0fbfec20a6799db9162fe49697d1a18fb571fe3d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000603", "prompt": "What value of x satisfies -2(x + 858) + 29 = 11(x + 944) - 5?", "solution_steps": ["Expand: -2x - 1716 + 29 = 11(x + 944) - 5", "Expand: -2x - 1716 + 29 = 11x + 10384 - 5", "Combine constants: -2x - 1687 = 11x + 10384 - 5", "Combine constants: -2x - 1687 = 11x + 10379", "Subtract 11x from both sides: -13x - 1687 = 10379", "Add 1687 to both sides: -13x = 12066", "Divide both sides by -13: x = -12066/13"], "final_answer": "-12066/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x + 858) + 29 = 11(x + 944) - 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 858, \"c\": 29, \"d\": 11, \"e\": 944, \"f\": 5}", "seed": "18398205044149080454", "semantic_fingerprint": "sha256:50cbaa03c83fe8320711555953afcf0a6ef57b28ba62787ff6bfdb472e47aedb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000604", "prompt": "Calculate: -70 / (11 / (-172 * (-8)))", "solution_steps": ["Multiply: -172 * (-8) = 1376", "Divide: 11 / 1376 = 11/1376", "Divide: -70 / (11/1376) = -96320/11"], "final_answer": "-96320/11", "answer_type": "rational", "kind": "expression", "math_text": "-70 / (11 / (-172 * (-8)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 11, \"c\": -172, \"d\": -8}", "seed": "11489282324476557125", "semantic_fingerprint": "sha256:14aa83afe6801e2c28e52788654f9b79d52916a721ee3e963ec96e0b8b2c918e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000605", "prompt": "Evaluate: 80 + (-889 * 122 + 15 * 3)", "solution_steps": ["Multiply: -889 * 122 = -108458", "Multiply: 15 * 3 = 45", "Add: -108458 + 45 = -108413", "Add: 80 + (-108413) = -108333"], "final_answer": "-108333", "answer_type": "integer", "kind": "expression", "math_text": "80 + (-889 * 122 + 15 * 3)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": -889, \"c\": 122, \"d\": 15, \"e\": 3}", "seed": "8303031857142566614", "semantic_fingerprint": "sha256:6eb5e9bb6e442bfe16d4a484e531818b43e224596d082f4eb9ed0a76ee689548", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000606", "prompt": "Compute: (4 - 5) * (-21 * (-431))", "solution_steps": ["Subtract: 4 - 5 = -1", "Multiply: -21 * (-431) = 9051", "Multiply: -1 * 9051 = -9051"], "final_answer": "-9051", "answer_type": "integer", "kind": "expression", "math_text": "(4 - 5) * (-21 * (-431))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": -21, \"d\": -431}", "seed": "10413382025272008365", "semantic_fingerprint": "sha256:4db21767df7c62bb10d3d63d904f68cd6698dc1ae7e59c27fc642582ab4f21f1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000607", "prompt": "Solve the equation -11(x - 5) + 17 = 3x + 58 for x.", "solution_steps": ["Expand: -11x + 55 + 17 = 3x + 58", "Combine constants: -11x + 72 = 3x + 58", "Subtract 3x from both sides: -14x + 72 = 58", "Subtract 72 from both sides: -14x = -14", "Divide both sides by -14: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 5) + 17 = 3x + 58", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 5, \"c\": 17, \"d\": 3, \"f\": 58, \"x\": 1}", "seed": "14320602865321143814", "semantic_fingerprint": "sha256:0750858ba04847d6c8d7342dc80d1e5c5397a6a4e8e1570d5da9298eef853e59", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000608", "prompt": "What value of x satisfies 8(x - 59) - 97 = 7(x - 50) - 74?", "solution_steps": ["Expand: 8x - 472 - 97 = 7(x - 50) - 74", "Expand: 8x - 472 - 97 = 7x - 350 - 74", "Combine constants: 8x - 569 = 7x - 350 - 74", "Combine constants: 8x - 569 = 7x - 424", "Subtract 7x from both sides: x - 569 = -424", "Add 569 to both sides: x = 145"], "final_answer": "145", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 59) - 97 = 7(x - 50) - 74", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 59, \"c\": 97, \"d\": 7, \"e\": 50, \"f\": 74}", "seed": "13484568513965998720", "semantic_fingerprint": "sha256:17b024897972b1448c1feeb0d92ab53aa86b234f6ca9c95d4ae7284025009e69", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000609", "prompt": "What is (178 - 5) / (-959 * 5)?", "solution_steps": ["Subtract: 178 - 5 = 173", "Multiply: -959 * 5 = -4795", "Divide: 173 / (-4795) = -173/4795"], "final_answer": "-173/4795", "answer_type": "rational", "kind": "expression", "math_text": "(178 - 5) / (-959 * 5)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 178, \"b\": 5, \"c\": -959, \"d\": 5}", "seed": "13586688243078673874", "semantic_fingerprint": "sha256:3d375960d60fe4e84d5d6ba2dc0ef2c67971b4804b1f3cc7576bda899d3d9370", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000610", "prompt": "Solve for x: x - 8 = 9(x - 40) + 352", "solution_steps": ["Expand: x - 8 = 9x - 360 + 352", "Combine constants: x - 8 = 9x - 8", "Subtract 9x from both sides: -8x - 8 = -8", "Add 8 to both sides: -8x = 0", "Divide both sides by -8: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8 = 9(x - 40) + 352", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 40, \"e\": 352, \"x\": 0}", "seed": "2868059624412191524", "semantic_fingerprint": "sha256:99ea8a2427b0451850fbd25736103001454da7acf367b2f8922fdee123f6b948", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000611", "prompt": "Calculate: 38 / 45 - (-99) - 5", "solution_steps": ["Divide: 38 / 45 = 38/45", "Subtract: 38/45 - (-99) = 4493/45", "Subtract: 4493/45 - 5 = 4268/45"], "final_answer": "4268/45", "answer_type": "rational", "kind": "expression", "math_text": "38 / 45 - (-99) - 5", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 45, \"c\": -99, \"d\": 5}", "seed": "18043023708439656615", "semantic_fingerprint": "sha256:93b7235d82f8c2aeaa8864889d62fd7b5144f58d2968fcae5eacf7c2d7b0484f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000612", "prompt": "What value of x satisfies 7(x - 4) = 5x - 68?", "solution_steps": ["Expand: 7x - 28 = 5x - 68", "Subtract 5x from both sides: 2x - 28 = -68", "Add 28 to both sides: 2x = -40", "Divide both sides by 2: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 4) = 5x - 68", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 5, \"e\": -68, \"x\": -20}", "seed": "14349518532844664104", "semantic_fingerprint": "sha256:5d2380c9197bc79230bf63ca4b6e80aa1eb4bf188c0560591f7ee0a7991356fa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000613", "prompt": "What value of x satisfies -2(x - 39) - 923 = 7(x - 95)?", "solution_steps": ["Expand: -2x + 78 - 923 = 7(x - 95)", "Expand: -2x + 78 - 923 = 7x - 665", "Combine constants: -2x - 845 = 7x - 665", "Subtract 7x from both sides: -9x - 845 = -665", "Add 845 to both sides: -9x = 180", "Divide both sides by -9: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 39) - 923 = 7(x - 95)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 39, \"c\": 7, \"d\": 95, \"f\": -923, \"x\": -20}", "seed": "3506655131127837859", "semantic_fingerprint": "sha256:a3c41b40ef9b626c7087faaac87c7281f449a7dfd47999fc016e54c417cc7079", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000614", "prompt": "What value of x satisfies 10(x - 492) - 69 = 5(x - 789) - 6?", "solution_steps": ["Expand: 10x - 4920 - 69 = 5(x - 789) - 6", "Expand: 10x - 4920 - 69 = 5x - 3945 - 6", "Combine constants: 10x - 4989 = 5x - 3945 - 6", "Combine constants: 10x - 4989 = 5x - 3951", "Subtract 5x from both sides: 5x - 4989 = -3951", "Add 4989 to both sides: 5x = 1038", "Divide both sides by 5: x = 1038/5"], "final_answer": "1038/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 492) - 69 = 5(x - 789) - 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 492, \"c\": 69, \"d\": 5, \"e\": 789, \"f\": 6}", "seed": "15805720022528409601", "semantic_fingerprint": "sha256:38b17abf35823c3f8073dbf901f1b3fac8b2412b04c6b6d81d5c3df553dd5a81", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000615", "prompt": "Calculate: 25 / (-14 * (-5) / (-441))", "solution_steps": ["Multiply: -14 * (-5) = 70", "Divide: 70 / (-441) = -10/63", "Divide: 25 / (-10/63) = -315/2"], "final_answer": "-315/2", "answer_type": "rational", "kind": "expression", "math_text": "25 / (-14 * (-5) / (-441))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": -14, \"c\": -5, \"d\": -441}", "seed": "12155314438759730486", "semantic_fingerprint": "sha256:62f5abffc2d5a47aae26cb82aa95707c997be80560644813e0d4cad807cb335a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000616", "prompt": "Compute: 1 + (-75) - (0 + (-526))", "solution_steps": ["Add: 1 + (-75) = -74", "Add: 0 + (-526) = -526", "Subtract: -74 - (-526) = 452"], "final_answer": "452", "answer_type": "integer", "kind": "expression", "math_text": "1 + (-75) - (0 + (-526))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -75, \"c\": 0, \"d\": -526}", "seed": "9531994301298258636", "semantic_fingerprint": "sha256:0ba21e03117be118f5915d23abe70d3cee290d485d293acf754a31618ad294ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000617", "prompt": "Calculate: -2 + 59 * 6 * 73 / 64", "solution_steps": ["Multiply: 59 * 6 = 354", "Multiply: 354 * 73 = 25842", "Divide: 25842 / 64 = 12921/32", "Add: -2 + 12921/32 = 12857/32"], "final_answer": "12857/32", "answer_type": "rational", "kind": "expression", "math_text": "-2 + 59 * 6 * 73 / 64", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (* (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 59, \"c\": 6, \"d\": 73, \"e\": 64}", "seed": "6208132567575703556", "semantic_fingerprint": "sha256:4bf2984e4694d37e7fcc6c043721d868a9c817b654e9130b86f33130713cc54b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000618", "prompt": "Evaluate: -4 / (-6) / 35 * (6 * 66 / 90)", "solution_steps": ["Divide: -4 / (-6) = 2/3", "Divide: (2/3) / 35 = 2/105", "Multiply: 6 * 66 = 396", "Divide: 396 / 90 = 22/5", "Multiply: (2/105) * (22/5) = 44/525"], "final_answer": "44/525", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-6) / 35 * (6 * 66 / 90)", "variable": null, "family": "expression_5op", "shape": "(* (/ (/ n n) n) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -6, \"c\": 35, \"d\": 6, \"e\": 66, \"f\": 90}", "seed": "2166151309296760658", "semantic_fingerprint": "sha256:dad84d006a399f319a827a8b196f0cca5348ce679601d79bff5ca3e1f67a6146", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000619", "prompt": "Evaluate: -54 / 684 - 0 - 59", "solution_steps": ["Divide: -54 / 684 = -3/38", "Subtract: -3/38 - 0 = -3/38", "Subtract: -3/38 - 59 = -2245/38"], "final_answer": "-2245/38", "answer_type": "rational", "kind": "expression", "math_text": "-54 / 684 - 0 - 59", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": 684, \"c\": 0, \"d\": 59}", "seed": "4321967383528019645", "semantic_fingerprint": "sha256:513855d594fb6de51e9ebc4b0f4cc057063927f1f5699f8417e1b3d9a8198503", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000620", "prompt": "Compute: -980 - 51 + (-897) + (-701 + 552)", "solution_steps": ["Subtract: -980 - 51 = -1031", "Add: -1031 + (-897) = -1928", "Add: -701 + 552 = -149", "Add: -1928 + (-149) = -2077"], "final_answer": "-2077", "answer_type": "integer", "kind": "expression", "math_text": "-980 - 51 + (-897) + (-701 + 552)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -980, \"b\": 51, \"c\": -897, \"d\": -701, \"e\": 552}", "seed": "10200218255979089997", "semantic_fingerprint": "sha256:3906b1a21adca857bd37ee376d9ea6bba6f1e55dbfe351d55ab2f8629c7a38e2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000621", "prompt": "Solve the equation 7(x + 10) - 42 = x - 5 for x.", "solution_steps": ["Expand: 7x + 70 - 42 = x - 5", "Combine constants: 7x + 28 = x - 5", "Subtract x from both sides: 6x + 28 = -5", "Subtract 28 from both sides: 6x = -33", "Divide both sides by 6: x = -11/2"], "final_answer": "-11/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 10) - 42 = x - 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 10, \"c\": 42, \"d\": 5}", "seed": "9645029835070279070", "semantic_fingerprint": "sha256:1c30861b474b62217854aa7c97b03dde3481b0b95c4218a2dc5e700b1488df50", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000622", "prompt": "What value of x satisfies 11(x - 3) = 8x - 72?", "solution_steps": ["Expand: 11x - 33 = 8x - 72", "Subtract 8x from both sides: 3x - 33 = -72", "Add 33 to both sides: 3x = -39", "Divide both sides by 3: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 3) = 8x - 72", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3, \"c\": 8, \"e\": -72, \"x\": -13}", "seed": "1890744356704119599", "semantic_fingerprint": "sha256:6d61b2b2b1329cbc42916c01202a17538439a5c4c0228953d2e10ae2f6eff15d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000623", "prompt": "Compute: 439 * (-96 + (-13)) / 1 * (5 / 155)", "solution_steps": ["Add: -96 + (-13) = -109", "Multiply: 439 * (-109) = -47851", "Divide: -47851 / 1 = -47851", "Divide: 5 / 155 = 1/31", "Multiply: -47851 * (1/31) = -47851/31"], "final_answer": "-47851/31", "answer_type": "rational", "kind": "expression", "math_text": "439 * (-96 + (-13)) / 1 * (5 / 155)", "variable": null, "family": "expression_5op", "shape": "(* (/ (* n (+ n n)) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 439, \"b\": -96, \"c\": -13, \"d\": 1, \"e\": 5, \"f\": 155}", "seed": "10954946424655856079", "semantic_fingerprint": "sha256:8208ab9c735d75e0f42eb0c43040cf58c7d21397452446615d7c0aec71e91442", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000624", "prompt": "Compute: 14 + 6 - (-267 * 8 + (-7)) - 6", "solution_steps": ["Add: 14 + 6 = 20", "Multiply: -267 * 8 = -2136", "Add: -2136 + (-7) = -2143", "Subtract: 20 - (-2143) = 2163", "Subtract: 2163 - 6 = 2157"], "final_answer": "2157", "answer_type": "integer", "kind": "expression", "math_text": "14 + 6 - (-267 * 8 + (-7)) - 6", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n n) (+ (* n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 6, \"c\": -267, \"d\": 8, \"e\": -7, \"f\": 6}", "seed": "12696157091318101250", "semantic_fingerprint": "sha256:7734b472cc6a015a5db764c7d0d21d542e3d8a79a5b3724f90c418149d6f2224", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000625", "prompt": "Calculate: (-979 + (-3)) / 6 + (-44) / (-43) * 0", "solution_steps": ["Add: -979 + (-3) = -982", "Divide: -982 / 6 = -491/3", "Divide: -44 / (-43) = 44/43", "Multiply: (44/43) * 0 = 0", "Add: -491/3 + 0 = -491/3"], "final_answer": "-491/3", "answer_type": "rational", "kind": "expression", "math_text": "(-979 + (-3)) / 6 + (-44) / (-43) * 0", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ n n) n) (* (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -979, \"b\": -3, \"c\": 6, \"d\": -44, \"e\": -43, \"f\": 0}", "seed": "6636351373312887757", "semantic_fingerprint": "sha256:b1f5573ae5c36e4e62f0e9667f771fa154e8aae3403eeb15886c53956d159422", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000626", "prompt": "Evaluate: 2 + 4 - (-29 + (-9))", "solution_steps": ["Add: 2 + 4 = 6", "Add: -29 + (-9) = -38", "Subtract: 6 - (-38) = 44"], "final_answer": "44", "answer_type": "integer", "kind": "expression", "math_text": "2 + 4 - (-29 + (-9))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": -29, \"d\": -9}", "seed": "4814341575357814276", "semantic_fingerprint": "sha256:432cd0f9e25bfd058eff0addcd7df5ec797c584c0d3726fd5c59a55c3d617bb7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000627", "prompt": "Calculate: -59 - (-359 - (-74) * (-73) + 51)", "solution_steps": ["Multiply: -74 * (-73) = 5402", "Subtract: -359 - 5402 = -5761", "Add: -5761 + 51 = -5710", "Subtract: -59 - (-5710) = 5651"], "final_answer": "5651", "answer_type": "integer", "kind": "expression", "math_text": "-59 - (-359 - (-74) * (-73) + 51)", "variable": null, "family": "expression_4op", "shape": "(- n (+ (- n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": -359, \"c\": -74, \"d\": -73, \"e\": 51}", "seed": "12163975659083539605", "semantic_fingerprint": "sha256:e87b23429df0519b5e469470d960031635b98251912bc614a21c6ce868ebd905", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000628", "prompt": "Compute: (79 + 5 + 431) * (-3) - 9 - (-64)", "solution_steps": ["Add: 79 + 5 = 84", "Add: 84 + 431 = 515", "Multiply: 515 * (-3) = -1545", "Subtract: -1545 - 9 = -1554", "Subtract: -1554 - (-64) = -1490"], "final_answer": "-1490", "answer_type": "integer", "kind": "expression", "math_text": "(79 + 5 + 431) * (-3) - 9 - (-64)", "variable": null, "family": "expression_5op", "shape": "(- (- (* (+ (+ n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": 5, \"c\": 431, \"d\": -3, \"e\": 9, \"f\": -64}", "seed": "5287018087439395164", "semantic_fingerprint": "sha256:5f644c21b93c7be702fac44627c190f9f4814f2c1b5a4e6936335c44f206d04a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000629", "prompt": "Find x: 3(x - 127) + 3 = -8(x + 8) - 63", "solution_steps": ["Expand: 3x - 381 + 3 = -8(x + 8) - 63", "Expand: 3x - 381 + 3 = -8x - 64 - 63", "Combine constants: 3x - 378 = -8x - 64 - 63", "Combine constants: 3x - 378 = -8x - 127", "Add 8x to both sides: 11x - 378 = -127", "Add 378 to both sides: 11x = 251", "Divide both sides by 11: x = 251/11"], "final_answer": "251/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 127) + 3 = -8(x + 8) - 63", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 127, \"c\": 3, \"d\": -8, \"e\": 8, \"f\": 63}", "seed": "8142007562844231438", "semantic_fingerprint": "sha256:62aa427935f628773aeda1b450c6c553e0faceeab740d6e153cb7d8d702d39ce", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000630", "prompt": "Solve the equation -11(x - 38) - 4 = -10(x - 94) - 534 for x.", "solution_steps": ["Expand: -11x + 418 - 4 = -10(x - 94) - 534", "Expand: -11x + 418 - 4 = -10x + 940 - 534", "Combine constants: -11x + 414 = -10x + 940 - 534", "Combine constants: -11x + 414 = -10x + 406", "Add 10x to both sides: -x + 414 = 406", "Subtract 414 from both sides: -x = -8", "Divide both sides by -1: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 38) - 4 = -10(x - 94) - 534", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 38, \"c\": 4, \"d\": -10, \"e\": 94, \"g\": -534, \"x\": 8}", "seed": "12782977963413150093", "semantic_fingerprint": "sha256:7fa13caec507dab6602560302e2f55daf0f89a472a6ae2eabd9dd0e72dea7a21", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000631", "prompt": "What is (-7 - 0) * (-48 * 97)?", "solution_steps": ["Subtract: -7 - 0 = -7", "Multiply: -48 * 97 = -4656", "Multiply: -7 * (-4656) = 32592"], "final_answer": "32592", "answer_type": "integer", "kind": "expression", "math_text": "(-7 - 0) * (-48 * 97)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 0, \"c\": -48, \"d\": 97}", "seed": "7776301422755906452", "semantic_fingerprint": "sha256:ad0052a6a381e13e22d98ce4f20bec130d5c9f4fe0d98254c35f210d7b427e9d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000632", "prompt": "Solve the equation -2(x - 3) - 85 = 8(x - 1) - 271 for x.", "solution_steps": ["Expand: -2x + 6 - 85 = 8(x - 1) - 271", "Expand: -2x + 6 - 85 = 8x - 8 - 271", "Combine constants: -2x - 79 = 8x - 8 - 271", "Combine constants: -2x - 79 = 8x - 279", "Subtract 8x from both sides: -10x - 79 = -279", "Add 79 to both sides: -10x = -200", "Divide both sides by -10: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 3) - 85 = 8(x - 1) - 271", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 3, \"c\": 85, \"d\": 8, \"e\": 1, \"g\": -271, \"x\": 20}", "seed": "501346525757996839", "semantic_fingerprint": "sha256:af87f4f0cffb5a9229e464dc017fba31507dab582d8af089ca527c761447fdbb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000633", "prompt": "Calculate: 678 * (9 * (-81)) - 1", "solution_steps": ["Multiply: 9 * (-81) = -729", "Multiply: 678 * (-729) = -494262", "Subtract: -494262 - 1 = -494263"], "final_answer": "-494263", "answer_type": "integer", "kind": "expression", "math_text": "678 * (9 * (-81)) - 1", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 678, \"b\": 9, \"c\": -81, \"d\": 1}", "seed": "9289005442993889639", "semantic_fingerprint": "sha256:c278fd242be8a5742e7fbb1b8bafacb5ae4d5a94e879b530b1cc2ed8e39589ad", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000634", "prompt": "What value of x satisfies 11(x - 8) - 15 = 10(x - 36)?", "solution_steps": ["Expand: 11x - 88 - 15 = 10(x - 36)", "Expand: 11x - 88 - 15 = 10x - 360", "Combine constants: 11x - 103 = 10x - 360", "Subtract 10x from both sides: x - 103 = -360", "Add 103 to both sides: x = -257"], "final_answer": "-257", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 8) - 15 = 10(x - 36)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"c\": 15, \"d\": 10, \"e\": 36}", "seed": "2826956702848171597", "semantic_fingerprint": "sha256:a9ee9d9dee1cd25e931625e4bea2e46d2a7cfebd5b673e4af28f4dfd9f38022d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000635", "prompt": "What is (9 / (-339) + 24) * 369?", "solution_steps": ["Divide: 9 / (-339) = -3/113", "Add: -3/113 + 24 = 2709/113", "Multiply: (2709/113) * 369 = 999621/113"], "final_answer": "999621/113", "answer_type": "rational", "kind": "expression", "math_text": "(9 / (-339) + 24) * 369", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -339, \"c\": 24, \"d\": 369}", "seed": "15425906594500122752", "semantic_fingerprint": "sha256:881f15703771e3568d899e2b660e3f4865a9746c5f523fb8a1a8f24d70bcb841", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000636", "prompt": "What value of x satisfies x - 5 = 11(x - 48) + 453?", "solution_steps": ["Expand: x - 5 = 11x - 528 + 453", "Combine constants: x - 5 = 11x - 75", "Subtract 11x from both sides: -10x - 5 = -75", "Add 5 to both sides: -10x = -70", "Divide both sides by -10: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5 = 11(x - 48) + 453", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 11, \"c\": 48, \"e\": 453, \"x\": 7}", "seed": "16123115577537397524", "semantic_fingerprint": "sha256:e97324183ded36311422089e7ebcd76695147dffa0cbfec4c136eae65fd95522", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000637", "prompt": "Calculate: -674 + (-82) * (0 / 537) + (-408)", "solution_steps": ["Divide: 0 / 537 = 0", "Multiply: -82 * 0 = 0", "Add: -674 + 0 = -674", "Add: -674 + (-408) = -1082"], "final_answer": "-1082", "answer_type": "integer", "kind": "expression", "math_text": "-674 + (-82) * (0 / 537) + (-408)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (* n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -674, \"b\": -82, \"c\": 0, \"d\": 537, \"e\": -408}", "seed": "2690253061366246322", "semantic_fingerprint": "sha256:5c037da673f301543e2f47a995ac51f3462c82439d2f36646eec7ed77b950e75", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000638", "prompt": "Calculate: -424 - (-816) - (-15 - (-3)) + 25", "solution_steps": ["Subtract: -424 - (-816) = 392", "Subtract: -15 - (-3) = -12", "Subtract: 392 - (-12) = 404", "Add: 404 + 25 = 429"], "final_answer": "429", "answer_type": "integer", "kind": "expression", "math_text": "-424 - (-816) - (-15 - (-3)) + 25", "variable": null, "family": "expression_4op", "shape": "(+ (- (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -424, \"b\": -816, \"c\": -15, \"d\": -3, \"e\": 25}", "seed": "4209177869125477020", "semantic_fingerprint": "sha256:3eeff9b712e8a1e8ecffeeea8f2373e2ffdf953c96bf2cfe339efdda7f0d5c43", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000639", "prompt": "What is -99 * (-5) / (-9 + 273)?", "solution_steps": ["Multiply: -99 * (-5) = 495", "Add: -9 + 273 = 264", "Divide: 495 / 264 = 15/8"], "final_answer": "15/8", "answer_type": "rational", "kind": "expression", "math_text": "-99 * (-5) / (-9 + 273)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -5, \"c\": -9, \"d\": 273}", "seed": "7375290749740140082", "semantic_fingerprint": "sha256:08c07b1a2866cb55dcc2981cad0f2c39f7163a929145673379aaa56a62263a64", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000640", "prompt": "Compute: -27 * 5 / 95 / 86", "solution_steps": ["Multiply: -27 * 5 = -135", "Divide: -135 / 95 = -27/19", "Divide: (-27/19) / 86 = -27/1634"], "final_answer": "-27/1634", "answer_type": "rational", "kind": "expression", "math_text": "-27 * 5 / 95 / 86", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": 5, \"c\": 95, \"d\": 86}", "seed": "12645125259735090233", "semantic_fingerprint": "sha256:1f5ddc1dfa3225a0646fad896f3454d00799092b87102d3749d497b0cb282660", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000641", "prompt": "What is 6 * (-4) / (-34) / (-2)?", "solution_steps": ["Multiply: 6 * (-4) = -24", "Divide: -24 / (-34) = 12/17", "Divide: (12/17) / (-2) = -6/17"], "final_answer": "-6/17", "answer_type": "rational", "kind": "expression", "math_text": "6 * (-4) / (-34) / (-2)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -4, \"c\": -34, \"d\": -2}", "seed": "10427978447702672622", "semantic_fingerprint": "sha256:bd758eba5a20eb47f5fc8a43c48d77c7293657a0f9fbc42032a24135ca235dc1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000642", "prompt": "Evaluate: 93 - 23 + 413 * (-91 * 1 - 6)", "solution_steps": ["Subtract: 93 - 23 = 70", "Multiply: -91 * 1 = -91", "Subtract: -91 - 6 = -97", "Multiply: 413 * (-97) = -40061", "Add: 70 + (-40061) = -39991"], "final_answer": "-39991", "answer_type": "integer", "kind": "expression", "math_text": "93 - 23 + 413 * (-91 * 1 - 6)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (* n (- (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 23, \"c\": 413, \"d\": -91, \"e\": 1, \"f\": 6}", "seed": "2663208478315170490", "semantic_fingerprint": "sha256:bb4a9bf5bfc05b4295eed53e88dd372d2b9d724e3f5ad2b962bd84f5dfd1c09f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000643", "prompt": "What is 31 / (-649) + 645 / (-33)?", "solution_steps": ["Divide: 31 / (-649) = -31/649", "Divide: 645 / (-33) = -215/11", "Add: -31/649 + (-215/11) = -1156/59"], "final_answer": "-1156/59", "answer_type": "rational", "kind": "expression", "math_text": "31 / (-649) + 645 / (-33)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": -649, \"c\": 645, \"d\": -33}", "seed": "11338272483945668565", "semantic_fingerprint": "sha256:46e7da5cd6bb97d59044b0b8bfc7b87da1ea6d617b292ce9e84093570cb9391f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000644", "prompt": "Calculate: -9 / (571 * (-3)) - 69", "solution_steps": ["Multiply: 571 * (-3) = -1713", "Divide: -9 / (-1713) = 3/571", "Subtract: 3/571 - 69 = -39396/571"], "final_answer": "-39396/571", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (571 * (-3)) - 69", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 571, \"c\": -3, \"d\": 69}", "seed": "2917982368298520023", "semantic_fingerprint": "sha256:792833f1e250b3d0ef80fcfb0f8ad46b3d79fe2cd78a0dbdf21b89f89bdff5b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000645", "prompt": "What is 50 - (20 + (-4 - (-709)))?", "solution_steps": ["Subtract: -4 - (-709) = 705", "Add: 20 + 705 = 725", "Subtract: 50 - 725 = -675"], "final_answer": "-675", "answer_type": "integer", "kind": "expression", "math_text": "50 - (20 + (-4 - (-709)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": 20, \"c\": -4, \"d\": -709}", "seed": "14540869226541278930", "semantic_fingerprint": "sha256:793954645e9dcd1b22b40840b7a21847923d2afb7861295a4cd1f6a58d6065d7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000646", "prompt": "Solve for x: 3(x + 6) + 72 = 8(x + 4) - 855", "solution_steps": ["Expand: 3x + 18 + 72 = 8(x + 4) - 855", "Expand: 3x + 18 + 72 = 8x + 32 - 855", "Combine constants: 3x + 90 = 8x + 32 - 855", "Combine constants: 3x + 90 = 8x - 823", "Subtract 8x from both sides: -5x + 90 = -823", "Subtract 90 from both sides: -5x = -913", "Divide both sides by -5: x = 913/5"], "final_answer": "913/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 6) + 72 = 8(x + 4) - 855", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 72, \"d\": 8, \"e\": 4, \"f\": 855}", "seed": "12440442869964752673", "semantic_fingerprint": "sha256:18703f6b7e8851b273f5add271c7526f1f2cf53c3328a3d0b47a1dd188ba1ba5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000647", "prompt": "What value of x satisfies 2(x - 35) - 5 = -2(x - 9)?", "solution_steps": ["Expand: 2x - 70 - 5 = -2(x - 9)", "Expand: 2x - 70 - 5 = -2x + 18", "Combine constants: 2x - 75 = -2x + 18", "Add 2x to both sides: 4x - 75 = 18", "Add 75 to both sides: 4x = 93", "Divide both sides by 4: x = 93/4"], "final_answer": "93/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 35) - 5 = -2(x - 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 35, \"c\": 5, \"d\": -2, \"e\": 9}", "seed": "18417650636708890260", "semantic_fingerprint": "sha256:c3b792ac1b860eab85be93f02d4445c1fefc4957187c5de95688ec51dcbf9cb1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000648", "prompt": "Compute: (9 + (-799) + (-39) * 6) * 30", "solution_steps": ["Add: 9 + (-799) = -790", "Multiply: -39 * 6 = -234", "Add: -790 + (-234) = -1024", "Multiply: -1024 * 30 = -30720"], "final_answer": "-30720", "answer_type": "integer", "kind": "expression", "math_text": "(9 + (-799) + (-39) * 6) * 30", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -799, \"c\": -39, \"d\": 6, \"e\": 30}", "seed": "14735570861305719721", "semantic_fingerprint": "sha256:f42b1a88ec155645a8739e0461b4df0e233ec7210eab902e25b943dacbbb8523", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000649", "prompt": "Compute: 75 * (-13) + (0 / 9 - 12)", "solution_steps": ["Multiply: 75 * (-13) = -975", "Divide: 0 / 9 = 0", "Subtract: 0 - 12 = -12", "Add: -975 + (-12) = -987"], "final_answer": "-987", "answer_type": "integer", "kind": "expression", "math_text": "75 * (-13) + (0 / 9 - 12)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -13, \"c\": 0, \"d\": 9, \"e\": 12}", "seed": "10138904326249312559", "semantic_fingerprint": "sha256:ecac91062c4c628057a88a6b201723f76d11e6b41dadbc9df57551a02aafd277", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000650", "prompt": "Solve for x: -3(x - 8) + 6 = 4x + 30", "solution_steps": ["Expand: -3x + 24 + 6 = 4x + 30", "Combine constants: -3x + 30 = 4x + 30", "Subtract 4x from both sides: -7x + 30 = 30", "Subtract 30 from both sides: -7x = 0", "Divide both sides by -7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 8) + 6 = 4x + 30", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 8, \"c\": 6, \"d\": 4, \"f\": 30, \"x\": 0}", "seed": "1095420570124538974", "semantic_fingerprint": "sha256:fecfa01e7ed0d2847565ebf86ebb562378c0a4f1ae042760887ec4458bbd7efe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000651", "prompt": "What is (-14 - 1) / (77 * (-6))?", "solution_steps": ["Subtract: -14 - 1 = -15", "Multiply: 77 * (-6) = -462", "Divide: -15 / (-462) = 5/154"], "final_answer": "5/154", "answer_type": "rational", "kind": "expression", "math_text": "(-14 - 1) / (77 * (-6))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": 1, \"c\": 77, \"d\": -6}", "seed": "11570436961451795143", "semantic_fingerprint": "sha256:1638d665de0b08fc03927def52e6873c1eb0e2092e8579746c8f4d810ec8bbfb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000652", "prompt": "Evaluate: -9 - (-12) / (-782 / 869)", "solution_steps": ["Divide: -782 / 869 = -782/869", "Divide: -12 / (-782/869) = 5214/391", "Subtract: -9 - 5214/391 = -8733/391"], "final_answer": "-8733/391", "answer_type": "rational", "kind": "expression", "math_text": "-9 - (-12) / (-782 / 869)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -12, \"c\": -782, \"d\": 869}", "seed": "5492240420915803393", "semantic_fingerprint": "sha256:2b5efd928cc98067c7a44f255fdbc20320431b0315df3d4fb0b79432830a2804", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000653", "prompt": "Calculate: 8 * (-263 - 80) + (3 + (-260) * (-796))", "solution_steps": ["Subtract: -263 - 80 = -343", "Multiply: 8 * (-343) = -2744", "Multiply: -260 * (-796) = 206960", "Add: 3 + 206960 = 206963", "Add: -2744 + 206963 = 204219"], "final_answer": "204219", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-263 - 80) + (3 + (-260) * (-796))", "variable": null, "family": "expression_5op", "shape": "(+ (* n (- n n)) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -263, \"c\": 80, \"d\": 3, \"e\": -260, \"f\": -796}", "seed": "5813906713297542436", "semantic_fingerprint": "sha256:cfbad197c59db6a066a1ca1174f98bbb87a981a5866c7495ebdda422ef8fc81d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000654", "prompt": "What is -45 / (-81 + 11 * (-88 / (-81) / 2))?", "solution_steps": ["Divide: -88 / (-81) = 88/81", "Divide: (88/81) / 2 = 44/81", "Multiply: 11 * (44/81) = 484/81", "Add: -81 + 484/81 = -6077/81", "Divide: -45 / (-6077/81) = 3645/6077"], "final_answer": "3645/6077", "answer_type": "rational", "kind": "expression", "math_text": "-45 / (-81 + 11 * (-88 / (-81) / 2))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ n (* n (/ (/ n n) n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": -81, \"c\": 11, \"d\": -88, \"e\": -81, \"f\": 2}", "seed": "14003287529269554649", "semantic_fingerprint": "sha256:b2264fea3e84bdc1f6547ba644fe50abd05b504373870d7e1463f2254322184e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000655", "prompt": "Find x: -12(x - 9) - 68 = 4(x - 11) - 60", "solution_steps": ["Expand: -12x + 108 - 68 = 4(x - 11) - 60", "Expand: -12x + 108 - 68 = 4x - 44 - 60", "Combine constants: -12x + 40 = 4x - 44 - 60", "Combine constants: -12x + 40 = 4x - 104", "Subtract 4x from both sides: -16x + 40 = -104", "Subtract 40 from both sides: -16x = -144", "Divide both sides by -16: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 9) - 68 = 4(x - 11) - 60", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 9, \"c\": 68, \"d\": 4, \"e\": 11, \"g\": -60, \"x\": 9}", "seed": "13493230375417241560", "semantic_fingerprint": "sha256:9363f83b6933d645c59f7b98e28e5f8d51e504d52b3f8607fc4c26d242769216", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000656", "prompt": "Calculate: (-425 - 923) / (-8 * 14)", "solution_steps": ["Subtract: -425 - 923 = -1348", "Multiply: -8 * 14 = -112", "Divide: -1348 / (-112) = 337/28"], "final_answer": "337/28", "answer_type": "rational", "kind": "expression", "math_text": "(-425 - 923) / (-8 * 14)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -425, \"b\": 923, \"c\": -8, \"d\": 14}", "seed": "11130343467042915474", "semantic_fingerprint": "sha256:4ea4feeaf11c15910479532ec22c306f24fb229e9a53229eb45d922bb8223308", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000657", "prompt": "Find x: 3(x - 42) = -7x - 6", "solution_steps": ["Expand: 3x - 126 = -7x - 6", "Add 7x to both sides: 10x - 126 = -6", "Add 126 to both sides: 10x = 120", "Divide both sides by 10: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 42) = -7x - 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 42, \"c\": -7, \"e\": -6, \"x\": 12}", "seed": "3659531369701918902", "semantic_fingerprint": "sha256:f2be2706b4c6533b2f9bdb96541e5d0d3c5bfb4871ee44897fa56e371c71dad3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000658", "prompt": "What is 824 * 531 + (157 * 27 + 768)?", "solution_steps": ["Multiply: 824 * 531 = 437544", "Multiply: 157 * 27 = 4239", "Add: 4239 + 768 = 5007", "Add: 437544 + 5007 = 442551"], "final_answer": "442551", "answer_type": "integer", "kind": "expression", "math_text": "824 * 531 + (157 * 27 + 768)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 824, \"b\": 531, \"c\": 157, \"d\": 27, \"e\": 768}", "seed": "15153010923770422689", "semantic_fingerprint": "sha256:d7d35d1f41dd687fffd82d47c32a088315fc695a4d170e1e78e2300a9c84684d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000659", "prompt": "What value of x satisfies -2(x - 4) - 46 = 4(x - 8)?", "solution_steps": ["Expand: -2x + 8 - 46 = 4(x - 8)", "Expand: -2x + 8 - 46 = 4x - 32", "Combine constants: -2x - 38 = 4x - 32", "Subtract 4x from both sides: -6x - 38 = -32", "Add 38 to both sides: -6x = 6", "Divide both sides by -6: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 4) - 46 = 4(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 4, \"c\": 4, \"d\": 8, \"f\": -46, \"x\": -1}", "seed": "1807866923074276093", "semantic_fingerprint": "sha256:6ef92b21e490710f1f9ecd207593e5850f18a3d87c9f3f94941d1206e343f825", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000660", "prompt": "Evaluate: (20 / 5 + (-6)) * 74", "solution_steps": ["Divide: 20 / 5 = 4", "Add: 4 + (-6) = -2", "Multiply: -2 * 74 = -148"], "final_answer": "-148", "answer_type": "integer", "kind": "expression", "math_text": "(20 / 5 + (-6)) * 74", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": 5, \"c\": -6, \"d\": 74}", "seed": "3477245459176410342", "semantic_fingerprint": "sha256:6822a9a11bf84cb186fe9640274e4ee992971f2f3084c46b95777d26182dbd18", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000661", "prompt": "Solve the equation -8x - 77 = -6(x + 50) + 261 for x.", "solution_steps": ["Expand: -8x - 77 = -6x - 300 + 261", "Combine constants: -8x - 77 = -6x - 39", "Add 6x to both sides: -2x - 77 = -39", "Add 77 to both sides: -2x = 38", "Divide both sides by -2: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 77 = -6(x + 50) + 261", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 77, \"c\": -6, \"d\": 50, \"f\": 261, \"x\": -19}", "seed": "11993506400773884422", "semantic_fingerprint": "sha256:714fe8d896f68a228470b7b5677a70ed4aee2525b50cf1b132aabda16682e8d0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000662", "prompt": "What value of x satisfies 11(x + 1) - 82 = x - 8?", "solution_steps": ["Expand: 11x + 11 - 82 = x - 8", "Combine constants: 11x - 71 = x - 8", "Subtract x from both sides: 10x - 71 = -8", "Add 71 to both sides: 10x = 63", "Divide both sides by 10: x = 63/10"], "final_answer": "63/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 1) - 82 = x - 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 1, \"c\": 82, \"d\": 8}", "seed": "7329336283610034703", "semantic_fingerprint": "sha256:9e564ba15ddea54adccb1a4469d2820725829d5f0618f678d444dca19c9fdab8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000663", "prompt": "Evaluate: (60 + 610 + (-2) / 44) / (3 / (-366))", "solution_steps": ["Add: 60 + 610 = 670", "Divide: -2 / 44 = -1/22", "Add: 670 + (-1/22) = 14739/22", "Divide: 3 / (-366) = -1/122", "Divide: (14739/22) / (-1/122) = -899079/11"], "final_answer": "-899079/11", "answer_type": "rational", "kind": "expression", "math_text": "(60 + 610 + (-2) / 44) / (3 / (-366))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ n n) (/ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 610, \"c\": -2, \"d\": 44, \"e\": 3, \"f\": -366}", "seed": "9455203874416115825", "semantic_fingerprint": "sha256:cad169bffe459899bbcb6aaa5a4aa79aca1c90993f8a78de58e8802adf1140ba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000664", "prompt": "Solve the equation 9(x - 1) - 6 = 6(x - 8) for x.", "solution_steps": ["Expand: 9x - 9 - 6 = 6(x - 8)", "Expand: 9x - 9 - 6 = 6x - 48", "Combine constants: 9x - 15 = 6x - 48", "Subtract 6x from both sides: 3x - 15 = -48", "Add 15 to both sides: 3x = -33", "Divide both sides by 3: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 1) - 6 = 6(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 1, \"c\": 6, \"d\": 8, \"f\": -6, \"x\": -11}", "seed": "5452221888847511570", "semantic_fingerprint": "sha256:8f7057c655d94f8252e844f10cd4c6e0724f4521f668a60c7168edfb9a9cdacb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000665", "prompt": "Calculate: (78 - 58) / 76 / (-15 / (-80)) - (-74)", "solution_steps": ["Subtract: 78 - 58 = 20", "Divide: 20 / 76 = 5/19", "Divide: -15 / (-80) = 3/16", "Divide: (5/19) / (3/16) = 80/57", "Subtract: 80/57 - (-74) = 4298/57"], "final_answer": "4298/57", "answer_type": "rational", "kind": "expression", "math_text": "(78 - 58) / 76 / (-15 / (-80)) - (-74)", "variable": null, "family": "expression_5op", "shape": "(- (/ (/ (- n n) n) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": 58, \"c\": 76, \"d\": -15, \"e\": -80, \"f\": -74}", "seed": "11796370419111805962", "semantic_fingerprint": "sha256:87f9ab70e97f90d6a932cd291e347a387121976a468773e44be90ae614e25965", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000666", "prompt": "Solve for x: 4(x + 1) - 74 = x - 58", "solution_steps": ["Expand: 4x + 4 - 74 = x - 58", "Combine constants: 4x - 70 = x - 58", "Subtract x from both sides: 3x - 70 = -58", "Add 70 to both sides: 3x = 12", "Divide both sides by 3: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 1) - 74 = x - 58", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 74, \"e\": -58, \"x\": 4}", "seed": "2578783554093781780", "semantic_fingerprint": "sha256:647cef30ee6b5bfcef0775be54131d559aca0873011e407bbfeac696162c4731", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000667", "prompt": "Find x: 3(x + 3) - 326 = x - 4", "solution_steps": ["Expand: 3x + 9 - 326 = x - 4", "Combine constants: 3x - 317 = x - 4", "Subtract x from both sides: 2x - 317 = -4", "Add 317 to both sides: 2x = 313", "Divide both sides by 2: x = 313/2"], "final_answer": "313/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 3) - 326 = x - 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 326, \"d\": 4}", "seed": "4103853534197937716", "semantic_fingerprint": "sha256:b1451994881877494d45c37d49cdfcab1868d7ea0b5a3216de00e194a7783e6e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000668", "prompt": "Find x: 5(x - 5) + 9 = 8x + 38", "solution_steps": ["Expand: 5x - 25 + 9 = 8x + 38", "Combine constants: 5x - 16 = 8x + 38", "Subtract 8x from both sides: -3x - 16 = 38", "Add 16 to both sides: -3x = 54", "Divide both sides by -3: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 5) + 9 = 8x + 38", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 5, \"c\": 9, \"d\": 8, \"f\": 38, \"x\": -18}", "seed": "3767653652686186441", "semantic_fingerprint": "sha256:35250eae8d4832a4c3f42f2aaa1e033d00ea5230d7d0498b5174cd982d629a5b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000669", "prompt": "Solve for x: -5x - 4 = -12(x + 7) + 73", "solution_steps": ["Expand: -5x - 4 = -12x - 84 + 73", "Combine constants: -5x - 4 = -12x - 11", "Add 12x to both sides: 7x - 4 = -11", "Add 4 to both sides: 7x = -7", "Divide both sides by 7: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 4 = -12(x + 7) + 73", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 4, \"c\": -12, \"d\": 7, \"f\": 73, \"x\": -1}", "seed": "11488193894944654611", "semantic_fingerprint": "sha256:21897c9a944b9e4540189facf26e0e67a4faaacc9e0e14f7861e5af0d95673cc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000670", "prompt": "Evaluate: -65 + (-7) / (7 - (-739))", "solution_steps": ["Subtract: 7 - (-739) = 746", "Divide: -7 / 746 = -7/746", "Add: -65 + (-7/746) = -48497/746"], "final_answer": "-48497/746", "answer_type": "rational", "kind": "expression", "math_text": "-65 + (-7) / (7 - (-739))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -7, \"c\": 7, \"d\": -739}", "seed": "3983735185224624297", "semantic_fingerprint": "sha256:ed4d3ea4437658ef34e354ac298a9a1c009dfba740452d82a945cdb6736f49e2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000671", "prompt": "What value of x satisfies -5(x + 135) + 24 = 9(x + 7) - 700?", "solution_steps": ["Expand: -5x - 675 + 24 = 9(x + 7) - 700", "Expand: -5x - 675 + 24 = 9x + 63 - 700", "Combine constants: -5x - 651 = 9x + 63 - 700", "Combine constants: -5x - 651 = 9x - 637", "Subtract 9x from both sides: -14x - 651 = -637", "Add 651 to both sides: -14x = 14", "Divide both sides by -14: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 135) + 24 = 9(x + 7) - 700", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 135, \"c\": 24, \"d\": 9, \"e\": 7, \"g\": -700, \"x\": -1}", "seed": "16583232948844054683", "semantic_fingerprint": "sha256:aef35c34a35046415bcd08d165c3baac39475f9ec2e42c8727ed619afb18874e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000672", "prompt": "What is 621 - (58 / (-48 * 56) + 306 + (-290))?", "solution_steps": ["Multiply: -48 * 56 = -2688", "Divide: 58 / (-2688) = -29/1344", "Add: -29/1344 + 306 = 411235/1344", "Add: 411235/1344 + (-290) = 21475/1344", "Subtract: 621 - 21475/1344 = 813149/1344"], "final_answer": "813149/1344", "answer_type": "rational", "kind": "expression", "math_text": "621 - (58 / (-48 * 56) + 306 + (-290))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (+ (/ n (* n n)) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 621, \"b\": 58, \"c\": -48, \"d\": 56, \"e\": 306, \"f\": -290}", "seed": "1828269555715869145", "semantic_fingerprint": "sha256:9d475eb46637a1c48124d1b5d3be9c8d1b35d621cb51d8a3318b46277a59c677", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000673", "prompt": "Solve for x: 12(x - 74) - 91 = 8(x - 62) - 519", "solution_steps": ["Expand: 12x - 888 - 91 = 8(x - 62) - 519", "Expand: 12x - 888 - 91 = 8x - 496 - 519", "Combine constants: 12x - 979 = 8x - 496 - 519", "Combine constants: 12x - 979 = 8x - 1015", "Subtract 8x from both sides: 4x - 979 = -1015", "Add 979 to both sides: 4x = -36", "Divide both sides by 4: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 74) - 91 = 8(x - 62) - 519", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 74, \"c\": 91, \"d\": 8, \"e\": 62, \"g\": -519, \"x\": -9}", "seed": "16476185998440314581", "semantic_fingerprint": "sha256:676deba6fe32b5ff47ce4a93a3390f2ba5fec46fc5c65dbfbdf5761491335f87", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000674", "prompt": "Evaluate: 540 * 1 + (-72 - 58 / 487)", "solution_steps": ["Multiply: 540 * 1 = 540", "Divide: 58 / 487 = 58/487", "Subtract: -72 - 58/487 = -35122/487", "Add: 540 + (-35122/487) = 227858/487"], "final_answer": "227858/487", "answer_type": "rational", "kind": "expression", "math_text": "540 * 1 + (-72 - 58 / 487)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 540, \"b\": 1, \"c\": -72, \"d\": 58, \"e\": 487}", "seed": "3092602344825762591", "semantic_fingerprint": "sha256:c5fc42644ced4115bd69d3cd3196ef08046230c3a8dd29f2b4331c006e901d97", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000675", "prompt": "Find x: 3(x + 9) - 33 = x - 38", "solution_steps": ["Expand: 3x + 27 - 33 = x - 38", "Combine constants: 3x - 6 = x - 38", "Subtract x from both sides: 2x - 6 = -38", "Add 6 to both sides: 2x = -32", "Divide both sides by 2: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 9) - 33 = x - 38", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 33, \"e\": -38, \"x\": -16}", "seed": "2090853802031398011", "semantic_fingerprint": "sha256:cd28aeab6f766873c052f947f879c9543de295c6294b7f52d60711db8fcd997a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000676", "prompt": "What is 875 * (-310 + 296) - (-94 - (-49) / 76)?", "solution_steps": ["Add: -310 + 296 = -14", "Multiply: 875 * (-14) = -12250", "Divide: -49 / 76 = -49/76", "Subtract: -94 - (-49/76) = -7095/76", "Subtract: -12250 - (-7095/76) = -923905/76"], "final_answer": "-923905/76", "answer_type": "rational", "kind": "expression", "math_text": "875 * (-310 + 296) - (-94 - (-49) / 76)", "variable": null, "family": "expression_5op", "shape": "(- (* n (+ n n)) (- n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 875, \"b\": -310, \"c\": 296, \"d\": -94, \"e\": -49, \"f\": 76}", "seed": "1277046076705292952", "semantic_fingerprint": "sha256:d623f01c440c7e526df213b0a22b485b359ba911e98f3fe3042c11c403611512", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000677", "prompt": "Solve for x: 3(x - 105) - 6 = 4(x - 60) - 70", "solution_steps": ["Expand: 3x - 315 - 6 = 4(x - 60) - 70", "Expand: 3x - 315 - 6 = 4x - 240 - 70", "Combine constants: 3x - 321 = 4x - 240 - 70", "Combine constants: 3x - 321 = 4x - 310", "Subtract 4x from both sides: -x - 321 = -310", "Add 321 to both sides: -x = 11", "Divide both sides by -1: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 105) - 6 = 4(x - 60) - 70", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 105, \"c\": 6, \"d\": 4, \"e\": 60, \"g\": -70, \"x\": -11}", "seed": "3961373445884852735", "semantic_fingerprint": "sha256:67784ad80a58f5bf72b50df9f0dbbec3609200af39cfc13649431b1b9e042a63", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000678", "prompt": "What value of x satisfies 8(x - 3) + 2 = 2(x + 21) - 160?", "solution_steps": ["Expand: 8x - 24 + 2 = 2(x + 21) - 160", "Expand: 8x - 24 + 2 = 2x + 42 - 160", "Combine constants: 8x - 22 = 2x + 42 - 160", "Combine constants: 8x - 22 = 2x - 118", "Subtract 2x from both sides: 6x - 22 = -118", "Add 22 to both sides: 6x = -96", "Divide both sides by 6: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 3) + 2 = 2(x + 21) - 160", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 2, \"d\": 2, \"e\": 21, \"g\": -160, \"x\": -16}", "seed": "11743106985371855440", "semantic_fingerprint": "sha256:624a26d69aeccb46efb59928bde415c13ef7c284de67bbe836012a31e686f128", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000679", "prompt": "Evaluate: -61 / (3 * (-65 - (-8) + 4))", "solution_steps": ["Subtract: -65 - (-8) = -57", "Add: -57 + 4 = -53", "Multiply: 3 * (-53) = -159", "Divide: -61 / (-159) = 61/159"], "final_answer": "61/159", "answer_type": "rational", "kind": "expression", "math_text": "-61 / (3 * (-65 - (-8) + 4))", "variable": null, "family": "expression_4op", "shape": "(/ n (* n (+ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": 3, \"c\": -65, \"d\": -8, \"e\": 4}", "seed": "12281015910765375134", "semantic_fingerprint": "sha256:df7b3e46c4792b91d880e84e6775fea9a4257ff4a6e4e8a4d5c8aae027b65662", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000680", "prompt": "Find x: -3x - 5 = -9(x + 93) + 724", "solution_steps": ["Expand: -3x - 5 = -9x - 837 + 724", "Combine constants: -3x - 5 = -9x - 113", "Add 9x to both sides: 6x - 5 = -113", "Add 5 to both sides: 6x = -108", "Divide both sides by 6: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x - 5 = -9(x + 93) + 724", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 5, \"c\": -9, \"d\": 93, \"f\": 724, \"x\": -18}", "seed": "12959501222887004273", "semantic_fingerprint": "sha256:00afea089c8d66e858b4257e2a98410568d7034f4490bd2647f10e50565bbe0f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000681", "prompt": "Evaluate: -258 / 400 - (6 * 8 + 8)", "solution_steps": ["Divide: -258 / 400 = -129/200", "Multiply: 6 * 8 = 48", "Add: 48 + 8 = 56", "Subtract: -129/200 - 56 = -11329/200"], "final_answer": "-11329/200", "answer_type": "rational", "kind": "expression", "math_text": "-258 / 400 - (6 * 8 + 8)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -258, \"b\": 400, \"c\": 6, \"d\": 8, \"e\": 8}", "seed": "2469029165117310535", "semantic_fingerprint": "sha256:e9de5938d137056c4c05a86584789f8b03359ab6791bbc75fcf7cc9c2f2b31b8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000682", "prompt": "Solve for x: x - 6 = 5(x - 149) + 771", "solution_steps": ["Expand: x - 6 = 5x - 745 + 771", "Combine constants: x - 6 = 5x + 26", "Subtract 5x from both sides: -4x - 6 = 26", "Add 6 to both sides: -4x = 32", "Divide both sides by -4: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6 = 5(x - 149) + 771", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 149, \"e\": 771, \"x\": -8}", "seed": "12454302542137735851", "semantic_fingerprint": "sha256:8f7d3d90035a4a4de52c87ad236eabc566e6993455b514e501546db457126161", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000683", "prompt": "Compute: -5 * (0 + 7 + 14) + 20", "solution_steps": ["Add: 0 + 7 = 7", "Add: 7 + 14 = 21", "Multiply: -5 * 21 = -105", "Add: -105 + 20 = -85"], "final_answer": "-85", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (0 + 7 + 14) + 20", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 0, \"c\": 7, \"d\": 14, \"e\": 20}", "seed": "16763619815229564925", "semantic_fingerprint": "sha256:d697003ee7725d3a294cf95d6630785f23b10cde4bff6762b6879f6155ada61a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000684", "prompt": "Compute: -529 / (-60) + 0 * (18 - 0 - (-16))", "solution_steps": ["Divide: -529 / (-60) = 529/60", "Subtract: 18 - 0 = 18", "Subtract: 18 - (-16) = 34", "Multiply: 0 * 34 = 0", "Add: 529/60 + 0 = 529/60"], "final_answer": "529/60", "answer_type": "rational", "kind": "expression", "math_text": "-529 / (-60) + 0 * (18 - 0 - (-16))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (* n (- (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -529, \"b\": -60, \"c\": 0, \"d\": 18, \"e\": 0, \"f\": -16}", "seed": "13400550573991547198", "semantic_fingerprint": "sha256:3a72251adc7004fc06250de9de139e5de3830e5c9370a46cd9435f0b70725307", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000685", "prompt": "Solve the equation 7(x + 81) + 70 = -2(x + 66) - 93 for x.", "solution_steps": ["Expand: 7x + 567 + 70 = -2(x + 66) - 93", "Expand: 7x + 567 + 70 = -2x - 132 - 93", "Combine constants: 7x + 637 = -2x - 132 - 93", "Combine constants: 7x + 637 = -2x - 225", "Add 2x to both sides: 9x + 637 = -225", "Subtract 637 from both sides: 9x = -862", "Divide both sides by 9: x = -862/9"], "final_answer": "-862/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 81) + 70 = -2(x + 66) - 93", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 81, \"c\": 70, \"d\": -2, \"e\": 66, \"f\": 93}", "seed": "14209862495086144093", "semantic_fingerprint": "sha256:d2576c75a817f4b383b75af9dd27651ff83959e802d918f2a070da019e80c87e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000686", "prompt": "Calculate: 0 - (-5) + (78 / 33 - (-4))", "solution_steps": ["Subtract: 0 - (-5) = 5", "Divide: 78 / 33 = 26/11", "Subtract: 26/11 - (-4) = 70/11", "Add: 5 + 70/11 = 125/11"], "final_answer": "125/11", "answer_type": "rational", "kind": "expression", "math_text": "0 - (-5) + (78 / 33 - (-4))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -5, \"c\": 78, \"d\": 33, \"e\": -4}", "seed": "9482965892808882160", "semantic_fingerprint": "sha256:1f442691e7e24ce60cc14885e2bee2b2bacf52e3a6e05cf733c38817c28b8540", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000687", "prompt": "Calculate: -34 - (6 + 456) / (0 - 8 - (-3))", "solution_steps": ["Add: 6 + 456 = 462", "Subtract: 0 - 8 = -8", "Subtract: -8 - (-3) = -5", "Divide: 462 / (-5) = -462/5", "Subtract: -34 - (-462/5) = 292/5"], "final_answer": "292/5", "answer_type": "rational", "kind": "expression", "math_text": "-34 - (6 + 456) / (0 - 8 - (-3))", "variable": null, "family": "expression_5op", "shape": "(- n (/ (+ n n) (- (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": 6, \"c\": 456, \"d\": 0, \"e\": 8, \"f\": -3}", "seed": "17589326128800524149", "semantic_fingerprint": "sha256:d1d62d16a4a1ce84663c12706e1c4c54b4f436d2cf5926c0a56db18df0fa427b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000688", "prompt": "Compute: (1 / (-1 / (-729)) + (-47)) / 2 + (-317)", "solution_steps": ["Divide: -1 / (-729) = 1/729", "Divide: 1 / (1/729) = 729", "Add: 729 + (-47) = 682", "Divide: 682 / 2 = 341", "Add: 341 + (-317) = 24"], "final_answer": "24", "answer_type": "integer", "kind": "expression", "math_text": "(1 / (-1 / (-729)) + (-47)) / 2 + (-317)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ (/ n (/ n n)) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -1, \"c\": -729, \"d\": -47, \"e\": 2, \"f\": -317}", "seed": "13282024725879511546", "semantic_fingerprint": "sha256:ac82fcee71a5054b5b12cc92dee4f27bad60fae54e75a8a19df6b389abce4440", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000689", "prompt": "Solve for x: 6(x - 2) + 94 = 5x + 96", "solution_steps": ["Expand: 6x - 12 + 94 = 5x + 96", "Combine constants: 6x + 82 = 5x + 96", "Subtract 5x from both sides: x + 82 = 96", "Subtract 82 from both sides: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 2) + 94 = 5x + 96", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 94, \"d\": 5, \"f\": 96, \"x\": 14}", "seed": "12184776143290818061", "semantic_fingerprint": "sha256:3f4e3dfeda3816611a3ca903be1aca3fb10f08a8cda7368c62bf878eeacdd2d6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000690", "prompt": "Compute: 528 / (-134) * (-3) / (4 * (-29)) - 71", "solution_steps": ["Divide: 528 / (-134) = -264/67", "Multiply: (-264/67) * (-3) = 792/67", "Multiply: 4 * (-29) = -116", "Divide: (792/67) / (-116) = -198/1943", "Subtract: -198/1943 - 71 = -138151/1943"], "final_answer": "-138151/1943", "answer_type": "rational", "kind": "expression", "math_text": "528 / (-134) * (-3) / (4 * (-29)) - 71", "variable": null, "family": "expression_5op", "shape": "(- (/ (* (/ n n) n) (* n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 528, \"b\": -134, \"c\": -3, \"d\": 4, \"e\": -29, \"f\": 71}", "seed": "2823643488872701434", "semantic_fingerprint": "sha256:943e82465635cfd6750d7f85cd2cb016d60e9ae1bf026bbcfd2b07daca7ea3cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000691", "prompt": "Evaluate: 0 / (-964 / (63 * 45))", "solution_steps": ["Multiply: 63 * 45 = 2835", "Divide: -964 / 2835 = -964/2835", "Divide: 0 / (-964/2835) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-964 / (63 * 45))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -964, \"c\": 63, \"d\": 45}", "seed": "10230052470059391332", "semantic_fingerprint": "sha256:4d12b003074b0bc1cc2198af3f3af77fd8efb2cb2be701e51fa79d664d8915a6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000692", "prompt": "What is 9 + 58 - 19 / (-9 - 871)?", "solution_steps": ["Add: 9 + 58 = 67", "Subtract: -9 - 871 = -880", "Divide: 19 / (-880) = -19/880", "Subtract: 67 - (-19/880) = 58979/880"], "final_answer": "58979/880", "answer_type": "rational", "kind": "expression", "math_text": "9 + 58 - 19 / (-9 - 871)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 58, \"c\": 19, \"d\": -9, \"e\": 871}", "seed": "17081850811183327923", "semantic_fingerprint": "sha256:5f10de07c23da5cd615e41346df544b88ff69bf15e41e7c71c7c4a611df847cc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000693", "prompt": "Solve for x: 8x - 6 = 4(x + 468) + 83", "solution_steps": ["Expand: 8x - 6 = 4x + 1872 + 83", "Combine constants: 8x - 6 = 4x + 1955", "Subtract 4x from both sides: 4x - 6 = 1955", "Add 6 to both sides: 4x = 1961", "Divide both sides by 4: x = 1961/4"], "final_answer": "1961/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 6 = 4(x + 468) + 83", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6, \"c\": 4, \"d\": 468, \"e\": 83}", "seed": "12317829631488749119", "semantic_fingerprint": "sha256:2be5b58ca5f536a2238f57a22a76c19f863a82d855b3b2228b42f57ea1c153fb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000694", "prompt": "Evaluate: 740 - (870 + (2 - (-16)))", "solution_steps": ["Subtract: 2 - (-16) = 18", "Add: 870 + 18 = 888", "Subtract: 740 - 888 = -148"], "final_answer": "-148", "answer_type": "integer", "kind": "expression", "math_text": "740 - (870 + (2 - (-16)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 740, \"b\": 870, \"c\": 2, \"d\": -16}", "seed": "13714970114650117701", "semantic_fingerprint": "sha256:0e54a8ccfaf7f079ea71f5b81735c2b1150256108327b137657ede8caf8b7d40", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000695", "prompt": "Compute: (-68 - (-9) + (-1)) * 65", "solution_steps": ["Subtract: -68 - (-9) = -59", "Add: -59 + (-1) = -60", "Multiply: -60 * 65 = -3900"], "final_answer": "-3900", "answer_type": "integer", "kind": "expression", "math_text": "(-68 - (-9) + (-1)) * 65", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -9, \"c\": -1, \"d\": 65}", "seed": "8572948731309441051", "semantic_fingerprint": "sha256:be6063fe47f883c5a4072a845d626f7fe8b178263ee1691ffcc3991e856fac70", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000696", "prompt": "Calculate: 0 + (-37) + (-6) + (-337) + (-5 + (-688))", "solution_steps": ["Add: 0 + (-37) = -37", "Add: -37 + (-6) = -43", "Add: -43 + (-337) = -380", "Add: -5 + (-688) = -693", "Add: -380 + (-693) = -1073"], "final_answer": "-1073", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-37) + (-6) + (-337) + (-5 + (-688))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ (+ n n) n) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -37, \"c\": -6, \"d\": -337, \"e\": -5, \"f\": -688}", "seed": "4137507762728489956", "semantic_fingerprint": "sha256:5cee03f0c9ff427c94f51e9c52048284dacc0939855ea8538bd9f3851d5a383c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000697", "prompt": "Solve the equation 8(x - 8) - 36 = 10(x - 139) - 847 for x.", "solution_steps": ["Expand: 8x - 64 - 36 = 10(x - 139) - 847", "Expand: 8x - 64 - 36 = 10x - 1390 - 847", "Combine constants: 8x - 100 = 10x - 1390 - 847", "Combine constants: 8x - 100 = 10x - 2237", "Subtract 10x from both sides: -2x - 100 = -2237", "Add 100 to both sides: -2x = -2137", "Divide both sides by -2: x = 2137/2"], "final_answer": "2137/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 8) - 36 = 10(x - 139) - 847", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": 36, \"d\": 10, \"e\": 139, \"f\": 847}", "seed": "17798624583230041541", "semantic_fingerprint": "sha256:901ae1e8af3466ab678a0f6adfb81e45f0ae4a6aef8244fc3a95b3922938ce3b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000698", "prompt": "Evaluate: (-5 / (-33) + (-96)) * 0", "solution_steps": ["Divide: -5 / (-33) = 5/33", "Add: 5/33 + (-96) = -3163/33", "Multiply: (-3163/33) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-5 / (-33) + (-96)) * 0", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -33, \"c\": -96, \"d\": 0}", "seed": "12879579279190786862", "semantic_fingerprint": "sha256:890ce6c25bea6a9f4ac6190899113db0079ba8cda3ec7ffa131763c37be44d9f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000699", "prompt": "What value of x satisfies 7(x + 4) - 35 = x - 103?", "solution_steps": ["Expand: 7x + 28 - 35 = x - 103", "Combine constants: 7x - 7 = x - 103", "Subtract x from both sides: 6x - 7 = -103", "Add 7 to both sides: 6x = -96", "Divide both sides by 6: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 4) - 35 = x - 103", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 35, \"e\": -103, \"x\": -16}", "seed": "1339876296458712683", "semantic_fingerprint": "sha256:6396f49464d5a46097fa36b6607b88e22e9aa344b7743120522b4b949bf596ed", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000700", "prompt": "Compute: -33 + 29 / (6 - (-1))", "solution_steps": ["Subtract: 6 - (-1) = 7", "Divide: 29 / 7 = 29/7", "Add: -33 + 29/7 = -202/7"], "final_answer": "-202/7", "answer_type": "rational", "kind": "expression", "math_text": "-33 + 29 / (6 - (-1))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": 29, \"c\": 6, \"d\": -1}", "seed": "14022111887528183579", "semantic_fingerprint": "sha256:f3edc9558ece97946559be0398c5fd6e3e5b1016da89dcaa1743e5ac30d76380", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000701", "prompt": "Evaluate: (10 - (-646) + (0 + (-50 - 2))) * (-25)", "solution_steps": ["Subtract: 10 - (-646) = 656", "Subtract: -50 - 2 = -52", "Add: 0 + (-52) = -52", "Add: 656 + (-52) = 604", "Multiply: 604 * (-25) = -15100"], "final_answer": "-15100", "answer_type": "integer", "kind": "expression", "math_text": "(10 - (-646) + (0 + (-50 - 2))) * (-25)", "variable": null, "family": "expression_5op", "shape": "(* (+ (- n n) (+ n (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -646, \"c\": 0, \"d\": -50, \"e\": 2, \"f\": -25}", "seed": "11912013481636878339", "semantic_fingerprint": "sha256:9fb2b21dd414936142a811b7252ea82aa6279d92969f9577146a4eab5d20ae09", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000702", "prompt": "Compute: 774 * 36 / (-77 + 49)", "solution_steps": ["Multiply: 774 * 36 = 27864", "Add: -77 + 49 = -28", "Divide: 27864 / (-28) = -6966/7"], "final_answer": "-6966/7", "answer_type": "rational", "kind": "expression", "math_text": "774 * 36 / (-77 + 49)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 774, \"b\": 36, \"c\": -77, \"d\": 49}", "seed": "13785399432212492686", "semantic_fingerprint": "sha256:25363605668bad0581e747eb23edf234a6a3fff52b00d0b04e86f8dd500bed4f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000703", "prompt": "Solve for x: 4(x - 1) - 477 = 5(x - 97)", "solution_steps": ["Expand: 4x - 4 - 477 = 5(x - 97)", "Expand: 4x - 4 - 477 = 5x - 485", "Combine constants: 4x - 481 = 5x - 485", "Subtract 5x from both sides: -x - 481 = -485", "Add 481 to both sides: -x = -4", "Divide both sides by -1: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 1) - 477 = 5(x - 97)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 5, \"d\": 97, \"f\": -477, \"x\": 4}", "seed": "10844777803462630748", "semantic_fingerprint": "sha256:bc23736c96e6f8d03c477f77251c74d90b4895529d4c569ec87d617660466bb5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000704", "prompt": "Solve for x: 7(x - 59) + 743 = 11(x - 7)", "solution_steps": ["Expand: 7x - 413 + 743 = 11(x - 7)", "Expand: 7x - 413 + 743 = 11x - 77", "Combine constants: 7x + 330 = 11x - 77", "Subtract 11x from both sides: -4x + 330 = -77", "Subtract 330 from both sides: -4x = -407", "Divide both sides by -4: x = 407/4"], "final_answer": "407/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 59) + 743 = 11(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 59, \"c\": 743, \"d\": 11, \"e\": 7}", "seed": "16083500377706171359", "semantic_fingerprint": "sha256:1300bed5ddde12c58ff2d9115345b7ff1428c85abd20ba5faa43bb09f65aaf1f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000705", "prompt": "Evaluate: -8 * ((83 - 9) * (-779)) + (-676)", "solution_steps": ["Subtract: 83 - 9 = 74", "Multiply: 74 * (-779) = -57646", "Multiply: -8 * (-57646) = 461168", "Add: 461168 + (-676) = 460492"], "final_answer": "460492", "answer_type": "integer", "kind": "expression", "math_text": "-8 * ((83 - 9) * (-779)) + (-676)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (* (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 83, \"c\": 9, \"d\": -779, \"e\": -676}", "seed": "10308452447357918637", "semantic_fingerprint": "sha256:723e5dccf20f111a9d1442330116220b0f3c0ada8a44bd3eab358ff462026e10", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000706", "prompt": "Calculate: -904 + 4 - (-907) * 4 - 60", "solution_steps": ["Add: -904 + 4 = -900", "Multiply: -907 * 4 = -3628", "Subtract: -900 - (-3628) = 2728", "Subtract: 2728 - 60 = 2668"], "final_answer": "2668", "answer_type": "integer", "kind": "expression", "math_text": "-904 + 4 - (-907) * 4 - 60", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -904, \"b\": 4, \"c\": -907, \"d\": 4, \"e\": 60}", "seed": "9402895669401385016", "semantic_fingerprint": "sha256:c3c60ded49db71a6cd51d99ad7da00a64c382a0cf1015ee7be0c53caab2aa8fa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000707", "prompt": "Calculate: (30 - 9) / (-43 * 4)", "solution_steps": ["Subtract: 30 - 9 = 21", "Multiply: -43 * 4 = -172", "Divide: 21 / (-172) = -21/172"], "final_answer": "-21/172", "answer_type": "rational", "kind": "expression", "math_text": "(30 - 9) / (-43 * 4)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 9, \"c\": -43, \"d\": 4}", "seed": "4777333279789633686", "semantic_fingerprint": "sha256:0bfe5de3264a629ccba0db3ef0bbf4a55b2683ac5af124d298c96667602b9e19", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000708", "prompt": "What is 31 / (54 - (-29) - (-393))?", "solution_steps": ["Subtract: 54 - (-29) = 83", "Subtract: 83 - (-393) = 476", "Divide: 31 / 476 = 31/476"], "final_answer": "31/476", "answer_type": "rational", "kind": "expression", "math_text": "31 / (54 - (-29) - (-393))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 54, \"c\": -29, \"d\": -393}", "seed": "10788190013688083784", "semantic_fingerprint": "sha256:42181913402cb7cdcf5bc1c6acb5cb404faac6a4823d242e7e5f4741e3b08dc4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000709", "prompt": "What is 92 - (-57 - 7 + (-2) / 38)?", "solution_steps": ["Subtract: -57 - 7 = -64", "Divide: -2 / 38 = -1/19", "Add: -64 + (-1/19) = -1217/19", "Subtract: 92 - (-1217/19) = 2965/19"], "final_answer": "2965/19", "answer_type": "rational", "kind": "expression", "math_text": "92 - (-57 - 7 + (-2) / 38)", "variable": null, "family": "expression_4op", "shape": "(- n (+ (- n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": -57, \"c\": 7, \"d\": -2, \"e\": 38}", "seed": "1234825323516454692", "semantic_fingerprint": "sha256:482cb11ac6448e0fe3fa80281ba08756af5bb6f0b41fe27f8115c81073eafa73", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000710", "prompt": "Find x: 4(x + 152) - 754 = x - 200", "solution_steps": ["Expand: 4x + 608 - 754 = x - 200", "Combine constants: 4x - 146 = x - 200", "Subtract x from both sides: 3x - 146 = -200", "Add 146 to both sides: 3x = -54", "Divide both sides by 3: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 152) - 754 = x - 200", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 152, \"c\": 754, \"e\": -200, \"x\": -18}", "seed": "4326111502621992368", "semantic_fingerprint": "sha256:9d392537d42f0ba2d7207f6e21549d8159552a98e645bd043080352701d6b1fa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000711", "prompt": "Evaluate: 44 / (63 + (-581) / (-9)) - (19 - 776)", "solution_steps": ["Divide: -581 / (-9) = 581/9", "Add: 63 + 581/9 = 1148/9", "Divide: 44 / (1148/9) = 99/287", "Subtract: 19 - 776 = -757", "Subtract: 99/287 - (-757) = 217358/287"], "final_answer": "217358/287", "answer_type": "rational", "kind": "expression", "math_text": "44 / (63 + (-581) / (-9)) - (19 - 776)", "variable": null, "family": "expression_5op", "shape": "(- (/ n (+ n (/ n n))) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": 63, \"c\": -581, \"d\": -9, \"e\": 19, \"f\": 776}", "seed": "6918939159573046516", "semantic_fingerprint": "sha256:a3b70d2c428ee37b99a77a9abee682887741b5dc53bf6b880cc212cdd0e62373", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000712", "prompt": "Compute: (-12 + (-4) + (-94)) * (-6)", "solution_steps": ["Add: -12 + (-4) = -16", "Add: -16 + (-94) = -110", "Multiply: -110 * (-6) = 660"], "final_answer": "660", "answer_type": "integer", "kind": "expression", "math_text": "(-12 + (-4) + (-94)) * (-6)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -4, \"c\": -94, \"d\": -6}", "seed": "17920879241803335584", "semantic_fingerprint": "sha256:4a7c1b2e2d45c81130177e77849578499a146cd481865efb145f0a0ad681877d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000713", "prompt": "Evaluate: -569 * (-834 / 3 / 214)", "solution_steps": ["Divide: -834 / 3 = -278", "Divide: -278 / 214 = -139/107", "Multiply: -569 * (-139/107) = 79091/107"], "final_answer": "79091/107", "answer_type": "rational", "kind": "expression", "math_text": "-569 * (-834 / 3 / 214)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -569, \"b\": -834, \"c\": 3, \"d\": 214}", "seed": "5870263146424759699", "semantic_fingerprint": "sha256:dc21582076fe262fc63e498cef398fe682a1e64e9d86814ca387f9d5a4c6d074", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000714", "prompt": "Compute: (9 - (-8) - 35 - 658) / (2 + 14)", "solution_steps": ["Subtract: 9 - (-8) = 17", "Subtract: 17 - 35 = -18", "Subtract: -18 - 658 = -676", "Add: 2 + 14 = 16", "Divide: -676 / 16 = -169/4"], "final_answer": "-169/4", "answer_type": "rational", "kind": "expression", "math_text": "(9 - (-8) - 35 - 658) / (2 + 14)", "variable": null, "family": "expression_5op", "shape": "(/ (- (- (- n n) n) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -8, \"c\": 35, \"d\": 658, \"e\": 2, \"f\": 14}", "seed": "6774949399569416153", "semantic_fingerprint": "sha256:43e539ad4d74ec83c67ce60b8091861f8b789e853789f73d1294647f30a2b776", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000715", "prompt": "Solve the equation x - 6 = -7(x - 2) + 28 for x.", "solution_steps": ["Expand: x - 6 = -7x + 14 + 28", "Combine constants: x - 6 = -7x + 42", "Add 7x to both sides: 8x - 6 = 42", "Add 6 to both sides: 8x = 48", "Divide both sides by 8: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6 = -7(x - 2) + 28", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -7, \"c\": 2, \"e\": 28, \"x\": 6}", "seed": "7466968338222911646", "semantic_fingerprint": "sha256:9b47c22daec337aa6a81f7211c41d8cbe6c1bca783c9d741ac884e4be1d743b4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000716", "prompt": "Compute: -35 - (-620) - (-520 / (-82) + (-41))", "solution_steps": ["Subtract: -35 - (-620) = 585", "Divide: -520 / (-82) = 260/41", "Add: 260/41 + (-41) = -1421/41", "Subtract: 585 - (-1421/41) = 25406/41"], "final_answer": "25406/41", "answer_type": "rational", "kind": "expression", "math_text": "-35 - (-620) - (-520 / (-82) + (-41))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": -620, \"c\": -520, \"d\": -82, \"e\": -41}", "seed": "4702047082979711682", "semantic_fingerprint": "sha256:84fad56173b63e24def2c51e7578634fcd439a58a3a6a708baf3c88c5495894a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000717", "prompt": "Solve the equation -11(x - 592) + 24 = 7(x + 3) - 74 for x.", "solution_steps": ["Expand: -11x + 6512 + 24 = 7(x + 3) - 74", "Expand: -11x + 6512 + 24 = 7x + 21 - 74", "Combine constants: -11x + 6536 = 7x + 21 - 74", "Combine constants: -11x + 6536 = 7x - 53", "Subtract 7x from both sides: -18x + 6536 = -53", "Subtract 6536 from both sides: -18x = -6589", "Divide both sides by -18: x = 6589/18"], "final_answer": "6589/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 592) + 24 = 7(x + 3) - 74", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 592, \"c\": 24, \"d\": 7, \"e\": 3, \"f\": 74}", "seed": "2416238719016307425", "semantic_fingerprint": "sha256:ba1e3f2fb23b44d35e2b2bf576b5587d91292a648abeecb6a439937f114b96f2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000718", "prompt": "Solve for x: 4(x - 681) - 72 = 11(x - 2) - 3", "solution_steps": ["Expand: 4x - 2724 - 72 = 11(x - 2) - 3", "Expand: 4x - 2724 - 72 = 11x - 22 - 3", "Combine constants: 4x - 2796 = 11x - 22 - 3", "Combine constants: 4x - 2796 = 11x - 25", "Subtract 11x from both sides: -7x - 2796 = -25", "Add 2796 to both sides: -7x = 2771", "Divide both sides by -7: x = -2771/7"], "final_answer": "-2771/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 681) - 72 = 11(x - 2) - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 681, \"c\": 72, \"d\": 11, \"e\": 2, \"f\": 3}", "seed": "11042619434193820071", "semantic_fingerprint": "sha256:cbcd00d94086bff56fb2022a6e4a8e35cdbed78f8bc7c27f20e87398e9bdef37", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000719", "prompt": "Compute: -2 - (8 * 380 + (-7))", "solution_steps": ["Multiply: 8 * 380 = 3040", "Add: 3040 + (-7) = 3033", "Subtract: -2 - 3033 = -3035"], "final_answer": "-3035", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (8 * 380 + (-7))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 8, \"c\": 380, \"d\": -7}", "seed": "6797309011861930838", "semantic_fingerprint": "sha256:16a20763b7a70b53eb35e3bbcfab0584d81dfb2ddbc6d7a9eb2f57ca136a4db0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000720", "prompt": "Calculate: (-448 + (-10)) * ((0 - (-5)) * 32) - 594", "solution_steps": ["Add: -448 + (-10) = -458", "Subtract: 0 - (-5) = 5", "Multiply: 5 * 32 = 160", "Multiply: -458 * 160 = -73280", "Subtract: -73280 - 594 = -73874"], "final_answer": "-73874", "answer_type": "integer", "kind": "expression", "math_text": "(-448 + (-10)) * ((0 - (-5)) * 32) - 594", "variable": null, "family": "expression_5op", "shape": "(- (* (+ n n) (* (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -448, \"b\": -10, \"c\": 0, \"d\": -5, \"e\": 32, \"f\": 594}", "seed": "7350831027724763297", "semantic_fingerprint": "sha256:1a7c9c997dcc363f803629615db099b13b16e469ef531ca2550729cea807213a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000721", "prompt": "Calculate: -555 * 936 / (-42 + 756) * (-6)", "solution_steps": ["Multiply: -555 * 936 = -519480", "Add: -42 + 756 = 714", "Divide: -519480 / 714 = -86580/119", "Multiply: (-86580/119) * (-6) = 519480/119"], "final_answer": "519480/119", "answer_type": "rational", "kind": "expression", "math_text": "-555 * 936 / (-42 + 756) * (-6)", "variable": null, "family": "expression_4op", "shape": "(* (/ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -555, \"b\": 936, \"c\": -42, \"d\": 756, \"e\": -6}", "seed": "16616481662255688763", "semantic_fingerprint": "sha256:f30623f973d823f6b9b4ddb03fee4a0d91333a588883600d3ed3439c26099789", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000722", "prompt": "Find x: 2(x - 79) + 9 = 7(x - 736)", "solution_steps": ["Expand: 2x - 158 + 9 = 7(x - 736)", "Expand: 2x - 158 + 9 = 7x - 5152", "Combine constants: 2x - 149 = 7x - 5152", "Subtract 7x from both sides: -5x - 149 = -5152", "Add 149 to both sides: -5x = -5003", "Divide both sides by -5: x = 5003/5"], "final_answer": "5003/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 79) + 9 = 7(x - 736)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 79, \"c\": 9, \"d\": 7, \"e\": 736}", "seed": "2314457140628298787", "semantic_fingerprint": "sha256:18b5c8794487add707786b1f5771a8167cf8dc197f72238045fdb1181c3fcbea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000723", "prompt": "Find x: -2(x - 35) + 7 = -11(x - 54)", "solution_steps": ["Expand: -2x + 70 + 7 = -11(x - 54)", "Expand: -2x + 70 + 7 = -11x + 594", "Combine constants: -2x + 77 = -11x + 594", "Add 11x to both sides: 9x + 77 = 594", "Subtract 77 from both sides: 9x = 517", "Divide both sides by 9: x = 517/9"], "final_answer": "517/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 35) + 7 = -11(x - 54)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 35, \"c\": 7, \"d\": -11, \"e\": 54}", "seed": "2620770443300346527", "semantic_fingerprint": "sha256:49d2824d6c062bc92832de51d7650b5c35a2f82653bf1a7ff8c7ec50c7bea0eb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000724", "prompt": "Evaluate: -9 * (-136) / (-33) / (-84)", "solution_steps": ["Multiply: -9 * (-136) = 1224", "Divide: 1224 / (-33) = -408/11", "Divide: (-408/11) / (-84) = 34/77"], "final_answer": "34/77", "answer_type": "rational", "kind": "expression", "math_text": "-9 * (-136) / (-33) / (-84)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -136, \"c\": -33, \"d\": -84}", "seed": "8547824090879554589", "semantic_fingerprint": "sha256:f9c6d540a5f36d1cb77765e7ca91d8b4bf05362e89f7d17381fb6fc807d9b0be", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000725", "prompt": "What is -79 * (-84) + 6 * (-15 - (-3))?", "solution_steps": ["Multiply: -79 * (-84) = 6636", "Subtract: -15 - (-3) = -12", "Multiply: 6 * (-12) = -72", "Add: 6636 + (-72) = 6564"], "final_answer": "6564", "answer_type": "integer", "kind": "expression", "math_text": "-79 * (-84) + 6 * (-15 - (-3))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -84, \"c\": 6, \"d\": -15, \"e\": -3}", "seed": "4280950613493308155", "semantic_fingerprint": "sha256:432db7df03347b4e1e33e5dd10e3aa05a61d4b1c974609f00c5febaca5321ff5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000726", "prompt": "Compute: 5 / 696 + 74 / 2", "solution_steps": ["Divide: 5 / 696 = 5/696", "Divide: 74 / 2 = 37", "Add: 5/696 + 37 = 25757/696"], "final_answer": "25757/696", "answer_type": "rational", "kind": "expression", "math_text": "5 / 696 + 74 / 2", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 696, \"c\": 74, \"d\": 2}", "seed": "6391978917579958769", "semantic_fingerprint": "sha256:e9b58c74c51d002527f9967ff5d94a7658940beee132633f79ef0ccceb94e378", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000727", "prompt": "What value of x satisfies 12(x - 8) - 38 = -11(x - 91) - 905?", "solution_steps": ["Expand: 12x - 96 - 38 = -11(x - 91) - 905", "Expand: 12x - 96 - 38 = -11x + 1001 - 905", "Combine constants: 12x - 134 = -11x + 1001 - 905", "Combine constants: 12x - 134 = -11x + 96", "Add 11x to both sides: 23x - 134 = 96", "Add 134 to both sides: 23x = 230", "Divide both sides by 23: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 8) - 38 = -11(x - 91) - 905", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"c\": 38, \"d\": -11, \"e\": 91, \"g\": -905, \"x\": 10}", "seed": "12222617139465222408", "semantic_fingerprint": "sha256:836dd97da17c2c44d4973da3bb33eccb054c5e34635d8c0559ba623e93a24972", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000728", "prompt": "Compute: 0 / (-57) * (-7 - (-860) + (-98) - (-9))", "solution_steps": ["Divide: 0 / (-57) = 0", "Subtract: -7 - (-860) = 853", "Add: 853 + (-98) = 755", "Subtract: 755 - (-9) = 764", "Multiply: 0 * 764 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-57) * (-7 - (-860) + (-98) - (-9))", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (- (+ (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -57, \"c\": -7, \"d\": -860, \"e\": -98, \"f\": -9}", "seed": "4798453902848199995", "semantic_fingerprint": "sha256:de2faf15c2bfbaf666d19ee5ad0cd8e060f4aedb2aaeed4611ff6db9a4cfbae0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000729", "prompt": "Solve for x: 8(x - 337) - 2 = -11(x - 4) - 871", "solution_steps": ["Expand: 8x - 2696 - 2 = -11(x - 4) - 871", "Expand: 8x - 2696 - 2 = -11x + 44 - 871", "Combine constants: 8x - 2698 = -11x + 44 - 871", "Combine constants: 8x - 2698 = -11x - 827", "Add 11x to both sides: 19x - 2698 = -827", "Add 2698 to both sides: 19x = 1871", "Divide both sides by 19: x = 1871/19"], "final_answer": "1871/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 337) - 2 = -11(x - 4) - 871", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 337, \"c\": 2, \"d\": -11, \"e\": 4, \"f\": 871}", "seed": "1260436038475842302", "semantic_fingerprint": "sha256:4f128ed5c05d451e1c165ca89cdf6868de5332898b368b123f3151b0daea611d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000730", "prompt": "What value of x satisfies 7(x - 1) - 179 = 4(x - 51)?", "solution_steps": ["Expand: 7x - 7 - 179 = 4(x - 51)", "Expand: 7x - 7 - 179 = 4x - 204", "Combine constants: 7x - 186 = 4x - 204", "Subtract 4x from both sides: 3x - 186 = -204", "Add 186 to both sides: 3x = -18", "Divide both sides by 3: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 1) - 179 = 4(x - 51)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 1, \"c\": 4, \"d\": 51, \"f\": -179, \"x\": -6}", "seed": "3649597644389134697", "semantic_fingerprint": "sha256:f4a9e03b53c88ebe4c37926d282bd077283a9a5096328c0389e2dfa8a922683a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000731", "prompt": "Compute: 817 - (7 + 7) + 33", "solution_steps": ["Add: 7 + 7 = 14", "Subtract: 817 - 14 = 803", "Add: 803 + 33 = 836"], "final_answer": "836", "answer_type": "integer", "kind": "expression", "math_text": "817 - (7 + 7) + 33", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 817, \"b\": 7, \"c\": 7, \"d\": 33}", "seed": "7223003241026346453", "semantic_fingerprint": "sha256:681cbb12f7519ef3e0515c44590c4e3ba649ff0a41f98480882695bbe4d5b3ad", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000732", "prompt": "Compute: (3 - (-7)) / (623 - (-891 + (-9)) - (-742))", "solution_steps": ["Subtract: 3 - (-7) = 10", "Add: -891 + (-9) = -900", "Subtract: 623 - (-900) = 1523", "Subtract: 1523 - (-742) = 2265", "Divide: 10 / 2265 = 2/453"], "final_answer": "2/453", "answer_type": "rational", "kind": "expression", "math_text": "(3 - (-7)) / (623 - (-891 + (-9)) - (-742))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (- (- n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -7, \"c\": 623, \"d\": -891, \"e\": -9, \"f\": -742}", "seed": "16626535641421796612", "semantic_fingerprint": "sha256:df6b923d42b941a906531baa3113befa3c3f056aae015c3ce12c1069f3413597", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000733", "prompt": "What value of x satisfies x - 9 = 4(x - 91) + 304?", "solution_steps": ["Expand: x - 9 = 4x - 364 + 304", "Combine constants: x - 9 = 4x - 60", "Subtract 4x from both sides: -3x - 9 = -60", "Add 9 to both sides: -3x = -51", "Divide both sides by -3: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9 = 4(x - 91) + 304", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": 91, \"e\": 304, \"x\": 17}", "seed": "11852338998795031264", "semantic_fingerprint": "sha256:b945371fccafbc1752aa7095ed1044c3036ce8a00c73898227cf4ebfc7177a6d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000734", "prompt": "Calculate: -170 * 9 - 2 * (597 + (-3))", "solution_steps": ["Multiply: -170 * 9 = -1530", "Add: 597 + (-3) = 594", "Multiply: 2 * 594 = 1188", "Subtract: -1530 - 1188 = -2718"], "final_answer": "-2718", "answer_type": "integer", "kind": "expression", "math_text": "-170 * 9 - 2 * (597 + (-3))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -170, \"b\": 9, \"c\": 2, \"d\": 597, \"e\": -3}", "seed": "14130979644954870431", "semantic_fingerprint": "sha256:453cfc2ea733f19829bc6f1565ced957fe3eed2a05d9b972ee7045ef9033a66e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000735", "prompt": "Solve for x: -3x - 2 = -12(x + 40) + 88", "solution_steps": ["Expand: -3x - 2 = -12x - 480 + 88", "Combine constants: -3x - 2 = -12x - 392", "Add 12x to both sides: 9x - 2 = -392", "Add 2 to both sides: 9x = -390", "Divide both sides by 9: x = -130/3"], "final_answer": "-130/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x - 2 = -12(x + 40) + 88", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 2, \"c\": -12, \"d\": 40, \"e\": 88}", "seed": "6208379568937804739", "semantic_fingerprint": "sha256:3c93aed4512ee471774cb3649d74373d5f2a47926ebd83082d95f112eac0c7c2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000736", "prompt": "Calculate: (-7 - (-190)) * (6 * 83)", "solution_steps": ["Subtract: -7 - (-190) = 183", "Multiply: 6 * 83 = 498", "Multiply: 183 * 498 = 91134"], "final_answer": "91134", "answer_type": "integer", "kind": "expression", "math_text": "(-7 - (-190)) * (6 * 83)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -190, \"c\": 6, \"d\": 83}", "seed": "3474031340729015462", "semantic_fingerprint": "sha256:da2288fbd3c9d7776aa7f52c45b6aece3a541f1930a36a4d368bf08115ac413d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000737", "prompt": "Compute: (-11 - (-8)) * 68 * (-32)", "solution_steps": ["Subtract: -11 - (-8) = -3", "Multiply: -3 * 68 = -204", "Multiply: -204 * (-32) = 6528"], "final_answer": "6528", "answer_type": "integer", "kind": "expression", "math_text": "(-11 - (-8)) * 68 * (-32)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -8, \"c\": 68, \"d\": -32}", "seed": "8244364147381351494", "semantic_fingerprint": "sha256:2b4ffb07b712f99ec2364598d7f7a1b469a541616ce016f7d78774eb0f6af1a6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000738", "prompt": "Calculate: 78 / (-9 - 5 - 42)", "solution_steps": ["Subtract: -9 - 5 = -14", "Subtract: -14 - 42 = -56", "Divide: 78 / (-56) = -39/28"], "final_answer": "-39/28", "answer_type": "rational", "kind": "expression", "math_text": "78 / (-9 - 5 - 42)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": -9, \"c\": 5, \"d\": 42}", "seed": "9798254983458574248", "semantic_fingerprint": "sha256:b6718e5ca1168326321f77e1934be5305d806ec76c2116986a54bcdceb054c79", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000739", "prompt": "Calculate: 124 / (-59 + 8) * (83 / (-776)) * 21", "solution_steps": ["Add: -59 + 8 = -51", "Divide: 124 / (-51) = -124/51", "Divide: 83 / (-776) = -83/776", "Multiply: (-124/51) * (-83/776) = 2573/9894", "Multiply: (2573/9894) * 21 = 18011/3298"], "final_answer": "18011/3298", "answer_type": "rational", "kind": "expression", "math_text": "124 / (-59 + 8) * (83 / (-776)) * 21", "variable": null, "family": "expression_5op", "shape": "(* (* (/ n (+ n n)) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 124, \"b\": -59, \"c\": 8, \"d\": 83, \"e\": -776, \"f\": 21}", "seed": "4313842833711404311", "semantic_fingerprint": "sha256:e597356c2091d670404b2a8d1c3494a829fbc17ae1758f228ff71db40480e012", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000740", "prompt": "What value of x satisfies -11(x - 8) + 304 = 9x + 472?", "solution_steps": ["Expand: -11x + 88 + 304 = 9x + 472", "Combine constants: -11x + 392 = 9x + 472", "Subtract 9x from both sides: -20x + 392 = 472", "Subtract 392 from both sides: -20x = 80", "Divide both sides by -20: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 8) + 304 = 9x + 472", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 8, \"c\": 304, \"d\": 9, \"f\": 472, \"x\": -4}", "seed": "14656062992748257224", "semantic_fingerprint": "sha256:b70401088f541e11a8fc6c587e734273c1634ec4fcf83862aa5dae3faa9f0dd1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000741", "prompt": "Compute: (-734 / 6 - 280) / (94 - 9)", "solution_steps": ["Divide: -734 / 6 = -367/3", "Subtract: -367/3 - 280 = -1207/3", "Subtract: 94 - 9 = 85", "Divide: (-1207/3) / 85 = -71/15"], "final_answer": "-71/15", "answer_type": "rational", "kind": "expression", "math_text": "(-734 / 6 - 280) / (94 - 9)", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -734, \"b\": 6, \"c\": 280, \"d\": 94, \"e\": 9}", "seed": "16940884677173643603", "semantic_fingerprint": "sha256:f412296d62144784b958063779cc8d45d5a24896eaa1ab2c31e1fe4776b17035", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000742", "prompt": "What is (-78 * (-8) + 84) * (-1)?", "solution_steps": ["Multiply: -78 * (-8) = 624", "Add: 624 + 84 = 708", "Multiply: 708 * (-1) = -708"], "final_answer": "-708", "answer_type": "integer", "kind": "expression", "math_text": "(-78 * (-8) + 84) * (-1)", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -8, \"c\": 84, \"d\": -1}", "seed": "17413758805717737616", "semantic_fingerprint": "sha256:43ed57efb94df93128e030665698e9ff1b4a1e7affd6e12b610c501fdfb3107e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000743", "prompt": "Calculate: 4 + 0 + 7 - 4 / (-93)", "solution_steps": ["Add: 4 + 0 = 4", "Add: 4 + 7 = 11", "Divide: 4 / (-93) = -4/93", "Subtract: 11 - (-4/93) = 1027/93"], "final_answer": "1027/93", "answer_type": "rational", "kind": "expression", "math_text": "4 + 0 + 7 - 4 / (-93)", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 0, \"c\": 7, \"d\": 4, \"e\": -93}", "seed": "15314175686754166103", "semantic_fingerprint": "sha256:bedcc43db052b620df38827b25778b31470244d1b26025ca73d6a63d1057a525", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000744", "prompt": "Evaluate: 8 - (-29 + 2) * (-89 - 708) - (-1)", "solution_steps": ["Add: -29 + 2 = -27", "Subtract: -89 - 708 = -797", "Multiply: -27 * (-797) = 21519", "Subtract: 8 - 21519 = -21511", "Subtract: -21511 - (-1) = -21510"], "final_answer": "-21510", "answer_type": "integer", "kind": "expression", "math_text": "8 - (-29 + 2) * (-89 - 708) - (-1)", "variable": null, "family": "expression_5op", "shape": "(- (- n (* (+ n n) (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -29, \"c\": 2, \"d\": -89, \"e\": 708, \"f\": -1}", "seed": "4808385999050778767", "semantic_fingerprint": "sha256:00886ada827d4ace2bd97a1deef8561ba91f034def909c965e90b1d46da81ee1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000745", "prompt": "Compute: (83 - 97 * 46) * (8 / (-7))", "solution_steps": ["Multiply: 97 * 46 = 4462", "Subtract: 83 - 4462 = -4379", "Divide: 8 / (-7) = -8/7", "Multiply: -4379 * (-8/7) = 35032/7"], "final_answer": "35032/7", "answer_type": "rational", "kind": "expression", "math_text": "(83 - 97 * 46) * (8 / (-7))", "variable": null, "family": "expression_4op", "shape": "(* (- n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 97, \"c\": 46, \"d\": 8, \"e\": -7}", "seed": "12155829583267185975", "semantic_fingerprint": "sha256:de71bb0dffe6121c21b9cbf576342ac4542c4c7433a8c403b0aff7169405d10f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000746", "prompt": "What is -3 / (-278) + (8 + (-66)) * 1?", "solution_steps": ["Divide: -3 / (-278) = 3/278", "Add: 8 + (-66) = -58", "Multiply: -58 * 1 = -58", "Add: 3/278 + (-58) = -16121/278"], "final_answer": "-16121/278", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-278) + (8 + (-66)) * 1", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -278, \"c\": 8, \"d\": -66, \"e\": 1}", "seed": "15076534442304545272", "semantic_fingerprint": "sha256:3bace9672ad23e6d736416025e02fa3975d103c263c9c52ca86b56ded88b05b7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000747", "prompt": "Calculate: 2 * (-33) / (-67 + (-28))", "solution_steps": ["Multiply: 2 * (-33) = -66", "Add: -67 + (-28) = -95", "Divide: -66 / (-95) = 66/95"], "final_answer": "66/95", "answer_type": "rational", "kind": "expression", "math_text": "2 * (-33) / (-67 + (-28))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -33, \"c\": -67, \"d\": -28}", "seed": "5441964006698736796", "semantic_fingerprint": "sha256:cdf58fe0f2d807f5c173b8aeb95e89526bd2bd85a13b8833b62c5138346683d4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000748", "prompt": "What is -2 / (-8) + 941 / (-7)?", "solution_steps": ["Divide: -2 / (-8) = 1/4", "Divide: 941 / (-7) = -941/7", "Add: 1/4 + (-941/7) = -3757/28"], "final_answer": "-3757/28", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-8) + 941 / (-7)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -8, \"c\": 941, \"d\": -7}", "seed": "13174149711920498608", "semantic_fingerprint": "sha256:65e406a3d137ddb6083e28428e0edd3b04c6da4107fcf4df80e20c628f53c2d4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000749", "prompt": "Compute: 3 - (-7 + 782) + 65", "solution_steps": ["Add: -7 + 782 = 775", "Subtract: 3 - 775 = -772", "Add: -772 + 65 = -707"], "final_answer": "-707", "answer_type": "integer", "kind": "expression", "math_text": "3 - (-7 + 782) + 65", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -7, \"c\": 782, \"d\": 65}", "seed": "12558982415719137312", "semantic_fingerprint": "sha256:e59512523a30a9435c833043cfaa83a5da95638d85085833ab69466e7ad311c5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000750", "prompt": "Evaluate: (40 + (-1)) / (6 / (-77 + (-8) * (-5)))", "solution_steps": ["Add: 40 + (-1) = 39", "Multiply: -8 * (-5) = 40", "Add: -77 + 40 = -37", "Divide: 6 / (-37) = -6/37", "Divide: 39 / (-6/37) = -481/2"], "final_answer": "-481/2", "answer_type": "rational", "kind": "expression", "math_text": "(40 + (-1)) / (6 / (-77 + (-8) * (-5)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (/ n (+ n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -1, \"c\": 6, \"d\": -77, \"e\": -8, \"f\": -5}", "seed": "17390795545503018429", "semantic_fingerprint": "sha256:ad5d051fb197d67860ef51355186f1c818cced237318541da3161cb9c050e841", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000751", "prompt": "Solve the equation -8(x + 29) - 60 = x - 292 for x.", "solution_steps": ["Expand: -8x - 232 - 60 = x - 292", "Combine constants: -8x - 292 = x - 292", "Subtract x from both sides: -9x - 292 = -292", "Add 292 to both sides: -9x = 0", "Divide both sides by -9: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 29) - 60 = x - 292", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 29, \"c\": 60, \"e\": -292, \"x\": 0}", "seed": "6914256670068747327", "semantic_fingerprint": "sha256:f87b9caf27dafdc1017353e14a3e131e02046944c7bed63ac778c277e1534170", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000752", "prompt": "Solve for x: -6(x + 2) - 29 = x - 8", "solution_steps": ["Expand: -6x - 12 - 29 = x - 8", "Combine constants: -6x - 41 = x - 8", "Subtract x from both sides: -7x - 41 = -8", "Add 41 to both sides: -7x = 33", "Divide both sides by -7: x = -33/7"], "final_answer": "-33/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x + 2) - 29 = x - 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 2, \"c\": 29, \"d\": 8}", "seed": "13079352959039226773", "semantic_fingerprint": "sha256:77a1888dcf7ffafcd32de5a0259386503040cace304487c5fbf07332a8920e44", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000753", "prompt": "Solve for x: x - 58 = 6(x - 89) + 561", "solution_steps": ["Expand: x - 58 = 6x - 534 + 561", "Combine constants: x - 58 = 6x + 27", "Subtract 6x from both sides: -5x - 58 = 27", "Add 58 to both sides: -5x = 85", "Divide both sides by -5: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 58 = 6(x - 89) + 561", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 6, \"c\": 89, \"e\": 561, \"x\": -17}", "seed": "12324131627251694688", "semantic_fingerprint": "sha256:1f082fc018a936fdff25ede184a0529b06c0b8eca7c393fc7ad91b082ce38fd3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000754", "prompt": "What value of x satisfies -2(x + 329) - 3 = x - 622?", "solution_steps": ["Expand: -2x - 658 - 3 = x - 622", "Combine constants: -2x - 661 = x - 622", "Subtract x from both sides: -3x - 661 = -622", "Add 661 to both sides: -3x = 39", "Divide both sides by -3: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 329) - 3 = x - 622", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 329, \"c\": 3, \"e\": -622, \"x\": -13}", "seed": "875564790427996727", "semantic_fingerprint": "sha256:59d6dd65d3d3331961c1a313f7476fe4008465570b635cb1b62f7011a92815ab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000755", "prompt": "Compute: (72 - (8 - 0)) * (-31 + 7 / (-55))", "solution_steps": ["Subtract: 8 - 0 = 8", "Subtract: 72 - 8 = 64", "Divide: 7 / (-55) = -7/55", "Add: -31 + (-7/55) = -1712/55", "Multiply: 64 * (-1712/55) = -109568/55"], "final_answer": "-109568/55", "answer_type": "rational", "kind": "expression", "math_text": "(72 - (8 - 0)) * (-31 + 7 / (-55))", "variable": null, "family": "expression_5op", "shape": "(* (- n (- n n)) (+ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": 8, \"c\": 0, \"d\": -31, \"e\": 7, \"f\": -55}", "seed": "13628858090374646367", "semantic_fingerprint": "sha256:174a3aca3e2202be4f4318dc7b2b9d6867389f1ab5920e4c3bdaf5d38e6a38ca", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000756", "prompt": "Compute: (-14 - 0) * (-480 * 0)", "solution_steps": ["Subtract: -14 - 0 = -14", "Multiply: -480 * 0 = 0", "Multiply: -14 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-14 - 0) * (-480 * 0)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": 0, \"c\": -480, \"d\": 0}", "seed": "11154562248476413386", "semantic_fingerprint": "sha256:3d5f6bc6fec55dd8263d8210f372a36df4f1eb63b0a7735e2c816795fcaa63f1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000757", "prompt": "Evaluate: -3 - (1 - (-545 - (-476)))", "solution_steps": ["Subtract: -545 - (-476) = -69", "Subtract: 1 - (-69) = 70", "Subtract: -3 - 70 = -73"], "final_answer": "-73", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (1 - (-545 - (-476)))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 1, \"c\": -545, \"d\": -476}", "seed": "8307177126816527823", "semantic_fingerprint": "sha256:477cc12d2445f3f1987898c7d0696869f2e102e99860666b05339a2668cf8868", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000758", "prompt": "Evaluate: (-38 - (-34)) / (5 / (91 + (-35)))", "solution_steps": ["Subtract: -38 - (-34) = -4", "Add: 91 + (-35) = 56", "Divide: 5 / 56 = 5/56", "Divide: -4 / (5/56) = -224/5"], "final_answer": "-224/5", "answer_type": "rational", "kind": "expression", "math_text": "(-38 - (-34)) / (5 / (91 + (-35)))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": -34, \"c\": 5, \"d\": 91, \"e\": -35}", "seed": "7806618948914042931", "semantic_fingerprint": "sha256:0d49b9a10c9a3ecdc8b0d150e73d21314a7262a2f32a0a3b9e233ad6f8106564", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000759", "prompt": "What is 66 / (-2 / 8 - (0 - 137))?", "solution_steps": ["Divide: -2 / 8 = -1/4", "Subtract: 0 - 137 = -137", "Subtract: -1/4 - (-137) = 547/4", "Divide: 66 / (547/4) = 264/547"], "final_answer": "264/547", "answer_type": "rational", "kind": "expression", "math_text": "66 / (-2 / 8 - (0 - 137))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -2, \"c\": 8, \"d\": 0, \"e\": 137}", "seed": "3197578253963640135", "semantic_fingerprint": "sha256:40e8545efaadaa72f6a01af7f8db7073424117161bd0f3c6b3c0b174cd975f5e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000760", "prompt": "What value of x satisfies 12(x - 63) - 15 = 7(x - 23) - 580?", "solution_steps": ["Expand: 12x - 756 - 15 = 7(x - 23) - 580", "Expand: 12x - 756 - 15 = 7x - 161 - 580", "Combine constants: 12x - 771 = 7x - 161 - 580", "Combine constants: 12x - 771 = 7x - 741", "Subtract 7x from both sides: 5x - 771 = -741", "Add 771 to both sides: 5x = 30", "Divide both sides by 5: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 63) - 15 = 7(x - 23) - 580", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 63, \"c\": 15, \"d\": 7, \"e\": 23, \"g\": -580, \"x\": 6}", "seed": "7454999329331699870", "semantic_fingerprint": "sha256:4cfb342afee280182f9d9f4c4d249a1a34cd371cad7bd1735c54ab461c4f0727", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000761", "prompt": "Solve the equation 10(x - 2) - 195 = -5(x - 5) - 255 for x.", "solution_steps": ["Expand: 10x - 20 - 195 = -5(x - 5) - 255", "Expand: 10x - 20 - 195 = -5x + 25 - 255", "Combine constants: 10x - 215 = -5x + 25 - 255", "Combine constants: 10x - 215 = -5x - 230", "Add 5x to both sides: 15x - 215 = -230", "Add 215 to both sides: 15x = -15", "Divide both sides by 15: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 2) - 195 = -5(x - 5) - 255", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 195, \"d\": -5, \"e\": 5, \"g\": -255, \"x\": -1}", "seed": "5536132335228354162", "semantic_fingerprint": "sha256:5d11543c6252816bbd83d15c6ca304a2593c23b066f5a1c7393ffc3a0357ae14", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000762", "prompt": "What value of x satisfies 12(x - 4) + 557 = 11x + 529?", "solution_steps": ["Expand: 12x - 48 + 557 = 11x + 529", "Combine constants: 12x + 509 = 11x + 529", "Subtract 11x from both sides: x + 509 = 529", "Subtract 509 from both sides: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 4) + 557 = 11x + 529", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": 557, \"d\": 11, \"f\": 529, \"x\": 20}", "seed": "2331605871625989912", "semantic_fingerprint": "sha256:ca1afcc813474ae296d8c36ca959c49caa4211a2c12998cb902acbbd29600439", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000763", "prompt": "Compute: (-36 - 51) / (85 * 8)", "solution_steps": ["Subtract: -36 - 51 = -87", "Multiply: 85 * 8 = 680", "Divide: -87 / 680 = -87/680"], "final_answer": "-87/680", "answer_type": "rational", "kind": "expression", "math_text": "(-36 - 51) / (85 * 8)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": 51, \"c\": 85, \"d\": 8}", "seed": "15827044158644259155", "semantic_fingerprint": "sha256:70aa2c639928370fef0ea22393f696c8eb25a3f2270bf2b00860a83ef1b61e9c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000764", "prompt": "Solve for x: 8(x - 93) - 98 = 2(x - 2) - 850", "solution_steps": ["Expand: 8x - 744 - 98 = 2(x - 2) - 850", "Expand: 8x - 744 - 98 = 2x - 4 - 850", "Combine constants: 8x - 842 = 2x - 4 - 850", "Combine constants: 8x - 842 = 2x - 854", "Subtract 2x from both sides: 6x - 842 = -854", "Add 842 to both sides: 6x = -12", "Divide both sides by 6: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 93) - 98 = 2(x - 2) - 850", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 93, \"c\": 98, \"d\": 2, \"e\": 2, \"g\": -850, \"x\": -2}", "seed": "3593435707470325418", "semantic_fingerprint": "sha256:24ecf57a1587bc4c53ebf556ca9efa766cc8900d55b72bf8bd97947f04293626", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000765", "prompt": "What is 57 + (-6 * 879 - (-5))?", "solution_steps": ["Multiply: -6 * 879 = -5274", "Subtract: -5274 - (-5) = -5269", "Add: 57 + (-5269) = -5212"], "final_answer": "-5212", "answer_type": "integer", "kind": "expression", "math_text": "57 + (-6 * 879 - (-5))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": -6, \"c\": 879, \"d\": -5}", "seed": "17151087218027412407", "semantic_fingerprint": "sha256:ce7402e47bd5fae7901d366ee2074d3ee39c57281c0f652f4ceb9e0819b7e8b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000766", "prompt": "Find x: -8(x - 8) - 512 = 4(x - 97)", "solution_steps": ["Expand: -8x + 64 - 512 = 4(x - 97)", "Expand: -8x + 64 - 512 = 4x - 388", "Combine constants: -8x - 448 = 4x - 388", "Subtract 4x from both sides: -12x - 448 = -388", "Add 448 to both sides: -12x = 60", "Divide both sides by -12: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 8) - 512 = 4(x - 97)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 8, \"c\": 4, \"d\": 97, \"f\": -512, \"x\": -5}", "seed": "10221753974613634296", "semantic_fingerprint": "sha256:7d3950f67aeb37fa8f6956114a00d256afc05eb077b80a4d1714461e4064cf76", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000767", "prompt": "Solve the equation x - 59 = 5(x - 9) + 9 for x.", "solution_steps": ["Expand: x - 59 = 5x - 45 + 9", "Combine constants: x - 59 = 5x - 36", "Subtract 5x from both sides: -4x - 59 = -36", "Add 59 to both sides: -4x = 23", "Divide both sides by -4: x = -23/4"], "final_answer": "-23/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 59 = 5(x - 9) + 9", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": 5, \"c\": 9, \"d\": 9}", "seed": "4386238547206121567", "semantic_fingerprint": "sha256:8cbe5793f8421016ecd17c22fdee8b784230a908968eeeddde82718dca03ef0a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000768", "prompt": "Evaluate: 37 * 72 / (-881 + (-31))", "solution_steps": ["Multiply: 37 * 72 = 2664", "Add: -881 + (-31) = -912", "Divide: 2664 / (-912) = -111/38"], "final_answer": "-111/38", "answer_type": "rational", "kind": "expression", "math_text": "37 * 72 / (-881 + (-31))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": 72, \"c\": -881, \"d\": -31}", "seed": "4988652003514117975", "semantic_fingerprint": "sha256:0be16089e7745fb5fe33e69e97bf9ac426895274bbd78383ab65fc9f530e49fa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000769", "prompt": "What is -8 + (476 + 5) - 21?", "solution_steps": ["Add: 476 + 5 = 481", "Add: -8 + 481 = 473", "Subtract: 473 - 21 = 452"], "final_answer": "452", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (476 + 5) - 21", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 476, \"c\": 5, \"d\": 21}", "seed": "14680279839370994077", "semantic_fingerprint": "sha256:4cce1320c0eb3b0e266f2dafed61d3c04ef3fb0df5cf914eada755877cf5c460", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000770", "prompt": "Solve for x: -11(x - 683) = 4x - 3", "solution_steps": ["Expand: -11x + 7513 = 4x - 3", "Subtract 4x from both sides: -15x + 7513 = -3", "Subtract 7513 from both sides: -15x = -7516", "Divide both sides by -15: x = 7516/15"], "final_answer": "7516/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 683) = 4x - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 683, \"c\": 4, \"d\": 3}", "seed": "558580250164009365", "semantic_fingerprint": "sha256:0b5f3aa50927bb4115a85288842622545db5a2aef81d3c042ee1a9633ce0bea2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000771", "prompt": "Find x: -7(x - 1) + 7 = 10x + 252", "solution_steps": ["Expand: -7x + 7 + 7 = 10x + 252", "Combine constants: -7x + 14 = 10x + 252", "Subtract 10x from both sides: -17x + 14 = 252", "Subtract 14 from both sides: -17x = 238", "Divide both sides by -17: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 1) + 7 = 10x + 252", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 1, \"c\": 7, \"d\": 10, \"f\": 252, \"x\": -14}", "seed": "12231840218937915575", "semantic_fingerprint": "sha256:289fd886c903e315c0d8e7cecd8a11ab6920d9ce634974dace62f649c29d6d42", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000772", "prompt": "Evaluate: -70 + (97 * (-916) - 20 + (-727))", "solution_steps": ["Multiply: 97 * (-916) = -88852", "Subtract: -88852 - 20 = -88872", "Add: -88872 + (-727) = -89599", "Add: -70 + (-89599) = -89669"], "final_answer": "-89669", "answer_type": "integer", "kind": "expression", "math_text": "-70 + (97 * (-916) - 20 + (-727))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (- (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 97, \"c\": -916, \"d\": 20, \"e\": -727}", "seed": "14333472893673257673", "semantic_fingerprint": "sha256:c05e0b08e0a51b3ecb492ea7ec008f898a33c71ab205b5efa628f50e413c61eb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000773", "prompt": "What value of x satisfies -8(x - 5) + 779 = -7x + 9?", "solution_steps": ["Expand: -8x + 40 + 779 = -7x + 9", "Combine constants: -8x + 819 = -7x + 9", "Add 7x to both sides: -x + 819 = 9", "Subtract 819 from both sides: -x = -810", "Divide both sides by -1: x = 810"], "final_answer": "810", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 5) + 779 = -7x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 5, \"c\": 779, \"d\": -7, \"e\": 9}", "seed": "15490983976269140624", "semantic_fingerprint": "sha256:3c2c96f1ce21fe242c633a7206ded050666721a9a98f707373a68c8768fe7d93", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000774", "prompt": "What value of x satisfies -2(x + 62) - 8 = x - 75?", "solution_steps": ["Expand: -2x - 124 - 8 = x - 75", "Combine constants: -2x - 132 = x - 75", "Subtract x from both sides: -3x - 132 = -75", "Add 132 to both sides: -3x = 57", "Divide both sides by -3: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 62) - 8 = x - 75", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 62, \"c\": 8, \"e\": -75, \"x\": -19}", "seed": "17897691609601718106", "semantic_fingerprint": "sha256:9f57b35689cc570d5dbad38ac5467e0c3d44e75af7a012ec6d029f98c5da3c2b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000775", "prompt": "Compute: -558 - (50 / (-2) * 16 - (-89)) * (-78)", "solution_steps": ["Divide: 50 / (-2) = -25", "Multiply: -25 * 16 = -400", "Subtract: -400 - (-89) = -311", "Multiply: -311 * (-78) = 24258", "Subtract: -558 - 24258 = -24816"], "final_answer": "-24816", "answer_type": "integer", "kind": "expression", "math_text": "-558 - (50 / (-2) * 16 - (-89)) * (-78)", "variable": null, "family": "expression_5op", "shape": "(- n (* (- (* (/ n n) n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -558, \"b\": 50, \"c\": -2, \"d\": 16, \"e\": -89, \"f\": -78}", "seed": "13587776369676459730", "semantic_fingerprint": "sha256:0b45be747192afb8d8c1859708f14e60b20833ccb18bec5a5816ce000f878094", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000776", "prompt": "Compute: 54 * ((-9 - 49) * 301) / 203 - (-28)", "solution_steps": ["Subtract: -9 - 49 = -58", "Multiply: -58 * 301 = -17458", "Multiply: 54 * (-17458) = -942732", "Divide: -942732 / 203 = -4644", "Subtract: -4644 - (-28) = -4616"], "final_answer": "-4616", "answer_type": "integer", "kind": "expression", "math_text": "54 * ((-9 - 49) * 301) / 203 - (-28)", "variable": null, "family": "expression_5op", "shape": "(- (/ (* n (* (- n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": -9, \"c\": 49, \"d\": 301, \"e\": 203, \"f\": -28}", "seed": "12072942775637212485", "semantic_fingerprint": "sha256:edadff1cce1c37e103c8ccafdd8227dba0ac4286d2d294346bbe63c1cc6d7c1f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000777", "prompt": "Calculate: 39 / (95 * 65 / 82)", "solution_steps": ["Multiply: 95 * 65 = 6175", "Divide: 6175 / 82 = 6175/82", "Divide: 39 / (6175/82) = 246/475"], "final_answer": "246/475", "answer_type": "rational", "kind": "expression", "math_text": "39 / (95 * 65 / 82)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 95, \"c\": 65, \"d\": 82}", "seed": "1850816171879190548", "semantic_fingerprint": "sha256:d80c14e3bedfc1339549badde4e393fe1bae17a7e63722e0f219b214966d09e6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000778", "prompt": "What is 1 / 765 + (-88) - (-410) / (-2)?", "solution_steps": ["Divide: 1 / 765 = 1/765", "Add: 1/765 + (-88) = -67319/765", "Divide: -410 / (-2) = 205", "Subtract: -67319/765 - 205 = -224144/765"], "final_answer": "-224144/765", "answer_type": "rational", "kind": "expression", "math_text": "1 / 765 + (-88) - (-410) / (-2)", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 765, \"c\": -88, \"d\": -410, \"e\": -2}", "seed": "6775913465731061474", "semantic_fingerprint": "sha256:8631725c3fcea86e2b9b8f7b85967062eb82e2622fb7f2cf0ce72ad4c02e60c8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000779", "prompt": "Calculate: -53 / ((9 + 84) / 910) / (-6)", "solution_steps": ["Add: 9 + 84 = 93", "Divide: 93 / 910 = 93/910", "Divide: -53 / (93/910) = -48230/93", "Divide: (-48230/93) / (-6) = 24115/279"], "final_answer": "24115/279", "answer_type": "rational", "kind": "expression", "math_text": "-53 / ((9 + 84) / 910) / (-6)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (/ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": 9, \"c\": 84, \"d\": 910, \"e\": -6}", "seed": "11392141618199010884", "semantic_fingerprint": "sha256:07e9601a400a0302d9d731c1375f5fa230b9bc16d7fe9e59412303ce9ce52e46", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000780", "prompt": "Evaluate: (349 - 49) * (-619 * 4)", "solution_steps": ["Subtract: 349 - 49 = 300", "Multiply: -619 * 4 = -2476", "Multiply: 300 * (-2476) = -742800"], "final_answer": "-742800", "answer_type": "integer", "kind": "expression", "math_text": "(349 - 49) * (-619 * 4)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 349, \"b\": 49, \"c\": -619, \"d\": 4}", "seed": "3709817328520937664", "semantic_fingerprint": "sha256:807ecf505acb6da1747f94fc14ded22f4c148206484970bfaf2fdfb11cc4ef84", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000781", "prompt": "Solve the equation -12(x - 5) + 211 = 5x + 560 for x.", "solution_steps": ["Expand: -12x + 60 + 211 = 5x + 560", "Combine constants: -12x + 271 = 5x + 560", "Subtract 5x from both sides: -17x + 271 = 560", "Subtract 271 from both sides: -17x = 289", "Divide both sides by -17: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 5) + 211 = 5x + 560", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 5, \"c\": 211, \"d\": 5, \"f\": 560, \"x\": -17}", "seed": "14683482441916243903", "semantic_fingerprint": "sha256:2223e8f6fdd2d3eaa4d6d2b19d6ad5759cdbe20e5fd2d142908b62929ac2515c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000782", "prompt": "What is 0 + (-7 + 69) - (-6)?", "solution_steps": ["Add: -7 + 69 = 62", "Add: 0 + 62 = 62", "Subtract: 62 - (-6) = 68"], "final_answer": "68", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-7 + 69) - (-6)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -7, \"c\": 69, \"d\": -6}", "seed": "13933271427489588707", "semantic_fingerprint": "sha256:6f3fe40956bf990bf4c82e07af3653f1f2ab4a6d89348309a4718e31111542b6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000783", "prompt": "What is 695 / (-6) / (-90 - (-176) + (-18))?", "solution_steps": ["Divide: 695 / (-6) = -695/6", "Subtract: -90 - (-176) = 86", "Add: 86 + (-18) = 68", "Divide: (-695/6) / 68 = -695/408"], "final_answer": "-695/408", "answer_type": "rational", "kind": "expression", "math_text": "695 / (-6) / (-90 - (-176) + (-18))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 695, \"b\": -6, \"c\": -90, \"d\": -176, \"e\": -18}", "seed": "7481021038968657478", "semantic_fingerprint": "sha256:3310a798341856b00df20e4affdab2a3b1aff616a2d7871fe0f09dea0e24d0c1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000784", "prompt": "Find x: 6(x - 374) + 82 = -4(x + 423) - 610", "solution_steps": ["Expand: 6x - 2244 + 82 = -4(x + 423) - 610", "Expand: 6x - 2244 + 82 = -4x - 1692 - 610", "Combine constants: 6x - 2162 = -4x - 1692 - 610", "Combine constants: 6x - 2162 = -4x - 2302", "Add 4x to both sides: 10x - 2162 = -2302", "Add 2162 to both sides: 10x = -140", "Divide both sides by 10: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 374) + 82 = -4(x + 423) - 610", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 374, \"c\": 82, \"d\": -4, \"e\": 423, \"g\": -610, \"x\": -14}", "seed": "8253009905778515357", "semantic_fingerprint": "sha256:b35855e972edd49fd097f8ccbd753b46566addd682154f251b887b17f54a8297", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000785", "prompt": "What is -26 * (406 * (-4 + 71) + (-17)) + 687?", "solution_steps": ["Add: -4 + 71 = 67", "Multiply: 406 * 67 = 27202", "Add: 27202 + (-17) = 27185", "Multiply: -26 * 27185 = -706810", "Add: -706810 + 687 = -706123"], "final_answer": "-706123", "answer_type": "integer", "kind": "expression", "math_text": "-26 * (406 * (-4 + 71) + (-17)) + 687", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ (* n (+ n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": 406, \"c\": -4, \"d\": 71, \"e\": -17, \"f\": 687}", "seed": "1277752355167712067", "semantic_fingerprint": "sha256:d4c260c0f0d72a361221a26523da4dba5d124e35ae23ebeeda6121da4f27a535", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000786", "prompt": "What value of x satisfies -9(x - 65) - 191 = -10(x - 61) - 206?", "solution_steps": ["Expand: -9x + 585 - 191 = -10(x - 61) - 206", "Expand: -9x + 585 - 191 = -10x + 610 - 206", "Combine constants: -9x + 394 = -10x + 610 - 206", "Combine constants: -9x + 394 = -10x + 404", "Add 10x to both sides: x + 394 = 404", "Subtract 394 from both sides: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 65) - 191 = -10(x - 61) - 206", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 65, \"c\": 191, \"d\": -10, \"e\": 61, \"g\": -206, \"x\": 10}", "seed": "7280574710388663380", "semantic_fingerprint": "sha256:79d826196b39040b51b3fccffb4ed4a0fafb155ab8f29cf959014aee2e954b5b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000787", "prompt": "Compute: (736 + 0 + (-400 - (-79))) / (-7 / 59)", "solution_steps": ["Add: 736 + 0 = 736", "Subtract: -400 - (-79) = -321", "Add: 736 + (-321) = 415", "Divide: -7 / 59 = -7/59", "Divide: 415 / (-7/59) = -24485/7"], "final_answer": "-24485/7", "answer_type": "rational", "kind": "expression", "math_text": "(736 + 0 + (-400 - (-79))) / (-7 / 59)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ n n) (- n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 736, \"b\": 0, \"c\": -400, \"d\": -79, \"e\": -7, \"f\": 59}", "seed": "14610944459716183486", "semantic_fingerprint": "sha256:741ab2ea999cd850081dcb069f5edb5c68c26cf8174e63aadc85a95858223376", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000788", "prompt": "Calculate: -3 * ((-22 + 77) / 576) * 0", "solution_steps": ["Add: -22 + 77 = 55", "Divide: 55 / 576 = 55/576", "Multiply: -3 * (55/576) = -55/192", "Multiply: (-55/192) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-3 * ((-22 + 77) / 576) * 0", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -22, \"c\": 77, \"d\": 576, \"e\": 0}", "seed": "86061489669820512", "semantic_fingerprint": "sha256:3d40c1496bb3205bdf3cd338e70955cda2a1de2ba2116b65defbb2ca2ed7a5fb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000789", "prompt": "Evaluate: 7 / 11 * (16 / (53 + 0))", "solution_steps": ["Divide: 7 / 11 = 7/11", "Add: 53 + 0 = 53", "Divide: 16 / 53 = 16/53", "Multiply: (7/11) * (16/53) = 112/583"], "final_answer": "112/583", "answer_type": "rational", "kind": "expression", "math_text": "7 / 11 * (16 / (53 + 0))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 11, \"c\": 16, \"d\": 53, \"e\": 0}", "seed": "4889279624569061631", "semantic_fingerprint": "sha256:fbfcbb1df47a3fed7709db5422d68ff8e8e2f811f8dd6d3e914f982b72ef816a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000790", "prompt": "Solve for x: 7(x - 9) - 120 = 3(x - 793)", "solution_steps": ["Expand: 7x - 63 - 120 = 3(x - 793)", "Expand: 7x - 63 - 120 = 3x - 2379", "Combine constants: 7x - 183 = 3x - 2379", "Subtract 3x from both sides: 4x - 183 = -2379", "Add 183 to both sides: 4x = -2196", "Divide both sides by 4: x = -549"], "final_answer": "-549", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 9) - 120 = 3(x - 793)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 120, \"d\": 3, \"e\": 793}", "seed": "17734821429614588017", "semantic_fingerprint": "sha256:20305ec95e5f394293f412a012a8df4013dfb339012d8284498d3a132d486fba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000791", "prompt": "Compute: -90 * 40 * (-61) / (-53 + (-22))", "solution_steps": ["Multiply: -90 * 40 = -3600", "Multiply: -3600 * (-61) = 219600", "Add: -53 + (-22) = -75", "Divide: 219600 / (-75) = -2928"], "final_answer": "-2928", "answer_type": "integer", "kind": "expression", "math_text": "-90 * 40 * (-61) / (-53 + (-22))", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": 40, \"c\": -61, \"d\": -53, \"e\": -22}", "seed": "6947295519512886478", "semantic_fingerprint": "sha256:57d66fb36f39415581a45a96fff2e3bec1eaf45875e910fddc09b90c531f316d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000792", "prompt": "Compute: 7 / (5 + (-2)) / (193 / 92)", "solution_steps": ["Add: 5 + (-2) = 3", "Divide: 7 / 3 = 7/3", "Divide: 193 / 92 = 193/92", "Divide: (7/3) / (193/92) = 644/579"], "final_answer": "644/579", "answer_type": "rational", "kind": "expression", "math_text": "7 / (5 + (-2)) / (193 / 92)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": -2, \"d\": 193, \"e\": 92}", "seed": "15827942018229807115", "semantic_fingerprint": "sha256:5e08bfd749b002c700cd05a2b887480ad7f0efe47f15b1407676813c4c630893", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000793", "prompt": "Calculate: 3 * (849 * 12 + (-6 - (-7))) - 69", "solution_steps": ["Multiply: 849 * 12 = 10188", "Subtract: -6 - (-7) = 1", "Add: 10188 + 1 = 10189", "Multiply: 3 * 10189 = 30567", "Subtract: 30567 - 69 = 30498"], "final_answer": "30498", "answer_type": "integer", "kind": "expression", "math_text": "3 * (849 * 12 + (-6 - (-7))) - 69", "variable": null, "family": "expression_5op", "shape": "(- (* n (+ (* n n) (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 849, \"c\": 12, \"d\": -6, \"e\": -7, \"f\": 69}", "seed": "8185473858539543315", "semantic_fingerprint": "sha256:71d322a9da443a7311dd8e024d630c13f30bde66c57bd4ed737eb1a6f6b595bf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000794", "prompt": "Compute: (46 - (-652)) / (-2 + (-638) * (-8))", "solution_steps": ["Subtract: 46 - (-652) = 698", "Multiply: -638 * (-8) = 5104", "Add: -2 + 5104 = 5102", "Divide: 698 / 5102 = 349/2551"], "final_answer": "349/2551", "answer_type": "rational", "kind": "expression", "math_text": "(46 - (-652)) / (-2 + (-638) * (-8))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -652, \"c\": -2, \"d\": -638, \"e\": -8}", "seed": "11571080167051879907", "semantic_fingerprint": "sha256:cd1bacd93747aa3dbeac37aeb374d7657762b5e75140b3d8af88ab2a9790b5aa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000795", "prompt": "Calculate: 18 * (-1 - (-21) + 69)", "solution_steps": ["Subtract: -1 - (-21) = 20", "Add: 20 + 69 = 89", "Multiply: 18 * 89 = 1602"], "final_answer": "1602", "answer_type": "integer", "kind": "expression", "math_text": "18 * (-1 - (-21) + 69)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": -1, \"c\": -21, \"d\": 69}", "seed": "7024171634493313090", "semantic_fingerprint": "sha256:03187ed0871ec4849216b9b74218f4763931051f8df36e054723cbfd63a80fc0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000796", "prompt": "Compute: 0 + (1 - 0) / (-53 * (-2 + (-57)))", "solution_steps": ["Subtract: 1 - 0 = 1", "Add: -2 + (-57) = -59", "Multiply: -53 * (-59) = 3127", "Divide: 1 / 3127 = 1/3127", "Add: 0 + 1/3127 = 1/3127"], "final_answer": "1/3127", "answer_type": "rational", "kind": "expression", "math_text": "0 + (1 - 0) / (-53 * (-2 + (-57)))", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (- n n) (* n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 1, \"c\": 0, \"d\": -53, \"e\": -2, \"f\": -57}", "seed": "3345288391293058590", "semantic_fingerprint": "sha256:3c0dbcdbd87e080a663f3173687e6ad54fef44ac00ac1986aa909fc0baf1a575", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000797", "prompt": "Solve the equation -7(x + 7) - 73 = x - 226 for x.", "solution_steps": ["Expand: -7x - 49 - 73 = x - 226", "Combine constants: -7x - 122 = x - 226", "Subtract x from both sides: -8x - 122 = -226", "Add 122 to both sides: -8x = -104", "Divide both sides by -8: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 7) - 73 = x - 226", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 7, \"c\": 73, \"e\": -226, \"x\": 13}", "seed": "1417911361526142062", "semantic_fingerprint": "sha256:aeea4b220bd9b56cb3ab77787afd5a01bb4659271f1175bfc49e45d3c31c8634", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000798", "prompt": "Compute: -4 - (7 - (31 - 683))", "solution_steps": ["Subtract: 31 - 683 = -652", "Subtract: 7 - (-652) = 659", "Subtract: -4 - 659 = -663"], "final_answer": "-663", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (7 - (31 - 683))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 7, \"c\": 31, \"d\": 683}", "seed": "17072384021962256960", "semantic_fingerprint": "sha256:52df0a3bcc612ec5fccfd3d53061f9eb3ebc28cacd4b9d69fe7cf23d6981b410", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000799", "prompt": "Evaluate: 8 * (-37 / 6 * (-94) - 35 * 288)", "solution_steps": ["Divide: -37 / 6 = -37/6", "Multiply: (-37/6) * (-94) = 1739/3", "Multiply: 35 * 288 = 10080", "Subtract: 1739/3 - 10080 = -28501/3", "Multiply: 8 * (-28501/3) = -228008/3"], "final_answer": "-228008/3", "answer_type": "rational", "kind": "expression", "math_text": "8 * (-37 / 6 * (-94) - 35 * 288)", "variable": null, "family": "expression_5op", "shape": "(* n (- (* (/ n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -37, \"c\": 6, \"d\": -94, \"e\": 35, \"f\": 288}", "seed": "9065420103712279266", "semantic_fingerprint": "sha256:8758de09728ab601d0737637ef3cbe05e189958081004cf1c202fd29b459565b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000800", "prompt": "What is (-824 - (-1)) * (-58) / (-25) - (-3)?", "solution_steps": ["Subtract: -824 - (-1) = -823", "Multiply: -823 * (-58) = 47734", "Divide: 47734 / (-25) = -47734/25", "Subtract: -47734/25 - (-3) = -47659/25"], "final_answer": "-47659/25", "answer_type": "rational", "kind": "expression", "math_text": "(-824 - (-1)) * (-58) / (-25) - (-3)", "variable": null, "family": "expression_4op", "shape": "(- (/ (* (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -824, \"b\": -1, \"c\": -58, \"d\": -25, \"e\": -3}", "seed": "10072556023009851857", "semantic_fingerprint": "sha256:de0e470d04afa9c2d811b49ec2e9f401371edfdb6c91890d46da53d2e2ccbda5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000801", "prompt": "What is 8 - (-401 * (-4) + (-72))?", "solution_steps": ["Multiply: -401 * (-4) = 1604", "Add: 1604 + (-72) = 1532", "Subtract: 8 - 1532 = -1524"], "final_answer": "-1524", "answer_type": "integer", "kind": "expression", "math_text": "8 - (-401 * (-4) + (-72))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -401, \"c\": -4, \"d\": -72}", "seed": "15833316776368104290", "semantic_fingerprint": "sha256:b931863d2e9d250d4d802d6b30e85abb3eeee53349e79c8d3c4d6448bf52d2cd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000802", "prompt": "Solve for x: 9(x - 15) = 10x - 127", "solution_steps": ["Expand: 9x - 135 = 10x - 127", "Subtract 10x from both sides: -x - 135 = -127", "Add 135 to both sides: -x = 8", "Divide both sides by -1: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 15) = 10x - 127", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 15, \"c\": 10, \"e\": -127, \"x\": -8}", "seed": "17382354568474665485", "semantic_fingerprint": "sha256:342d9c88e88fb4cd69ea5f6b983157a25856d6b59c2d47bd2810d32f1c1a94c5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000803", "prompt": "Calculate: 35 + (-139) - 133 + 29", "solution_steps": ["Add: 35 + (-139) = -104", "Subtract: -104 - 133 = -237", "Add: -237 + 29 = -208"], "final_answer": "-208", "answer_type": "integer", "kind": "expression", "math_text": "35 + (-139) - 133 + 29", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -139, \"c\": 133, \"d\": 29}", "seed": "15375201426457633769", "semantic_fingerprint": "sha256:b6f7288c97de98cfd0c67c21ab551af9779ef7a80b05f4666644e9a4013941cf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000804", "prompt": "Compute: 124 - (-18) * 31 - 286", "solution_steps": ["Multiply: -18 * 31 = -558", "Subtract: 124 - (-558) = 682", "Subtract: 682 - 286 = 396"], "final_answer": "396", "answer_type": "integer", "kind": "expression", "math_text": "124 - (-18) * 31 - 286", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 124, \"b\": -18, \"c\": 31, \"d\": 286}", "seed": "17460260881845667719", "semantic_fingerprint": "sha256:d7b4178f6f07904475687cbcdfd247798b430ff5eddaa5d2dfd086d102e6c5ad", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000805", "prompt": "Solve the equation -7(x + 981) + 7 = -8(x + 757) - 821 for x.", "solution_steps": ["Expand: -7x - 6867 + 7 = -8(x + 757) - 821", "Expand: -7x - 6867 + 7 = -8x - 6056 - 821", "Combine constants: -7x - 6860 = -8x - 6056 - 821", "Combine constants: -7x - 6860 = -8x - 6877", "Add 8x to both sides: x - 6860 = -6877", "Add 6860 to both sides: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 981) + 7 = -8(x + 757) - 821", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 981, \"c\": 7, \"d\": -8, \"e\": 757, \"g\": -821, \"x\": -17}", "seed": "13163219122763547723", "semantic_fingerprint": "sha256:65d542cb7d055c02d5b8ddaa3dbffc605a2246472f87d95dbf7903a1f346f459", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000806", "prompt": "Solve the equation -7(x + 2) - 49 = x - 931 for x.", "solution_steps": ["Expand: -7x - 14 - 49 = x - 931", "Combine constants: -7x - 63 = x - 931", "Subtract x from both sides: -8x - 63 = -931", "Add 63 to both sides: -8x = -868", "Divide both sides by -8: x = 217/2"], "final_answer": "217/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 2) - 49 = x - 931", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 2, \"c\": 49, \"d\": 931}", "seed": "10709584544791059469", "semantic_fingerprint": "sha256:c51e4466bdef99fc93c33ce45a2bd0812aeae496da467d9bc4e7be5f9c106911", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000807", "prompt": "Evaluate: (-6 + 43 + (664 + 25)) / (-5)", "solution_steps": ["Add: -6 + 43 = 37", "Add: 664 + 25 = 689", "Add: 37 + 689 = 726", "Divide: 726 / (-5) = -726/5"], "final_answer": "-726/5", "answer_type": "rational", "kind": "expression", "math_text": "(-6 + 43 + (664 + 25)) / (-5)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 43, \"c\": 664, \"d\": 25, \"e\": -5}", "seed": "5964520335892867452", "semantic_fingerprint": "sha256:b794639038afeb9cf464ad9223d87bfc8056b9988a3e475cec2c2ed4866096b4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000808", "prompt": "Calculate: -15 + 51 / 3 / 6", "solution_steps": ["Divide: 51 / 3 = 17", "Divide: 17 / 6 = 17/6", "Add: -15 + 17/6 = -73/6"], "final_answer": "-73/6", "answer_type": "rational", "kind": "expression", "math_text": "-15 + 51 / 3 / 6", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": 51, \"c\": 3, \"d\": 6}", "seed": "17629836475711905918", "semantic_fingerprint": "sha256:badb801969a8c3e721875c744e752f29dd5cc95b10210b143f42d889aeb4afa7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000809", "prompt": "Evaluate: 332 - (-54) / (2 + (-9)) / (-639 / 736)", "solution_steps": ["Add: 2 + (-9) = -7", "Divide: -54 / (-7) = 54/7", "Divide: -639 / 736 = -639/736", "Divide: (54/7) / (-639/736) = -4416/497", "Subtract: 332 - (-4416/497) = 169420/497"], "final_answer": "169420/497", "answer_type": "rational", "kind": "expression", "math_text": "332 - (-54) / (2 + (-9)) / (-639 / 736)", "variable": null, "family": "expression_5op", "shape": "(- n (/ (/ n (+ n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 332, \"b\": -54, \"c\": 2, \"d\": -9, \"e\": -639, \"f\": 736}", "seed": "16058225562753428088", "semantic_fingerprint": "sha256:fe8a2dcfb6a8fd5a6d222622737bedb00a716239c1978bfbd86788981cffdefb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000810", "prompt": "Evaluate: -180 + 9 - 215 + (-617)", "solution_steps": ["Add: -180 + 9 = -171", "Subtract: -171 - 215 = -386", "Add: -386 + (-617) = -1003"], "final_answer": "-1003", "answer_type": "integer", "kind": "expression", "math_text": "-180 + 9 - 215 + (-617)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -180, \"b\": 9, \"c\": 215, \"d\": -617}", "seed": "17679986158964931932", "semantic_fingerprint": "sha256:742d1309f790937c9eca3115db49ee961bbe4907739bb19c1f718ed8bc02dd65", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000811", "prompt": "What value of x satisfies x - 5 = 12(x - 38) + 484?", "solution_steps": ["Expand: x - 5 = 12x - 456 + 484", "Combine constants: x - 5 = 12x + 28", "Subtract 12x from both sides: -11x - 5 = 28", "Add 5 to both sides: -11x = 33", "Divide both sides by -11: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5 = 12(x - 38) + 484", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 12, \"c\": 38, \"e\": 484, \"x\": -3}", "seed": "11252029597811562736", "semantic_fingerprint": "sha256:1f768dda808facc011b98f782c2f955c717d7d9e79c791c17c9f0bc59cd19be5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000812", "prompt": "What value of x satisfies 9(x - 5) - 20 = -2(x - 301) - 297?", "solution_steps": ["Expand: 9x - 45 - 20 = -2(x - 301) - 297", "Expand: 9x - 45 - 20 = -2x + 602 - 297", "Combine constants: 9x - 65 = -2x + 602 - 297", "Combine constants: 9x - 65 = -2x + 305", "Add 2x to both sides: 11x - 65 = 305", "Add 65 to both sides: 11x = 370", "Divide both sides by 11: x = 370/11"], "final_answer": "370/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 5) - 20 = -2(x - 301) - 297", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 20, \"d\": -2, \"e\": 301, \"f\": 297}", "seed": "8867556865082539938", "semantic_fingerprint": "sha256:caa03849c835168c0c0686225a9b123cf82988e141c15080667b19df0ae9d992", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000813", "prompt": "Evaluate: -83 * (67 - (74 - (-2 - 17)))", "solution_steps": ["Subtract: -2 - 17 = -19", "Subtract: 74 - (-19) = 93", "Subtract: 67 - 93 = -26", "Multiply: -83 * (-26) = 2158"], "final_answer": "2158", "answer_type": "integer", "kind": "expression", "math_text": "-83 * (67 - (74 - (-2 - 17)))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (- n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": 67, \"c\": 74, \"d\": -2, \"e\": 17}", "seed": "4647049078859150076", "semantic_fingerprint": "sha256:abf00228172172eebbade276d4ccd15a21f2ad37258ccf029a43e1f5970b15fd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000814", "prompt": "Evaluate: 77 * (-1) / (-6 / (-1 - (-7)))", "solution_steps": ["Multiply: 77 * (-1) = -77", "Subtract: -1 - (-7) = 6", "Divide: -6 / 6 = -1", "Divide: -77 / (-1) = 77"], "final_answer": "77", "answer_type": "integer", "kind": "expression", "math_text": "77 * (-1) / (-6 / (-1 - (-7)))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -1, \"c\": -6, \"d\": -1, \"e\": -7}", "seed": "14492258705233331585", "semantic_fingerprint": "sha256:e7bb2ccf309cf7b6323117c14677c9cded3155d63f7f9746db78e0858758af95", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000815", "prompt": "Evaluate: (-99 - (-14)) * (-20) / (21 * 89)", "solution_steps": ["Subtract: -99 - (-14) = -85", "Multiply: -85 * (-20) = 1700", "Multiply: 21 * 89 = 1869", "Divide: 1700 / 1869 = 1700/1869"], "final_answer": "1700/1869", "answer_type": "rational", "kind": "expression", "math_text": "(-99 - (-14)) * (-20) / (21 * 89)", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -14, \"c\": -20, \"d\": 21, \"e\": 89}", "seed": "2734015362133033435", "semantic_fingerprint": "sha256:ff773a65e863933228b80a0d9bfdaef68f319f99528fc9eab34305e3a20168f0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000816", "prompt": "Compute: 63 - (7 * (-5) + (-8))", "solution_steps": ["Multiply: 7 * (-5) = -35", "Add: -35 + (-8) = -43", "Subtract: 63 - (-43) = 106"], "final_answer": "106", "answer_type": "integer", "kind": "expression", "math_text": "63 - (7 * (-5) + (-8))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 7, \"c\": -5, \"d\": -8}", "seed": "364234684021726480", "semantic_fingerprint": "sha256:7bf8a4a5e423410295d610de1c6019737015a7b5f68442ff1a787656fa5089de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000817", "prompt": "Solve the equation 8(x - 48) + 528 = 3x + 144 for x.", "solution_steps": ["Expand: 8x - 384 + 528 = 3x + 144", "Combine constants: 8x + 144 = 3x + 144", "Subtract 3x from both sides: 5x + 144 = 144", "Subtract 144 from both sides: 5x = 0", "Divide both sides by 5: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 48) + 528 = 3x + 144", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 48, \"c\": 528, \"d\": 3, \"f\": 144, \"x\": 0}", "seed": "694281140665713256", "semantic_fingerprint": "sha256:013833607ea97b0469773f673a90108e50d10671ae425103a7b58e64db6a04ba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000818", "prompt": "Compute: 866 / (222 - 0 - (-1))", "solution_steps": ["Subtract: 222 - 0 = 222", "Subtract: 222 - (-1) = 223", "Divide: 866 / 223 = 866/223"], "final_answer": "866/223", "answer_type": "rational", "kind": "expression", "math_text": "866 / (222 - 0 - (-1))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 866, \"b\": 222, \"c\": 0, \"d\": -1}", "seed": "6226392062285269110", "semantic_fingerprint": "sha256:cc5632f93ffb6ceb6500a12e639f2418cf1b5c005005d0cdbc76d1b54dbd7408", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000819", "prompt": "Compute: 399 * (-1) * 41 / (-69 + (-280))", "solution_steps": ["Multiply: 399 * (-1) = -399", "Multiply: -399 * 41 = -16359", "Add: -69 + (-280) = -349", "Divide: -16359 / (-349) = 16359/349"], "final_answer": "16359/349", "answer_type": "rational", "kind": "expression", "math_text": "399 * (-1) * 41 / (-69 + (-280))", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 399, \"b\": -1, \"c\": 41, \"d\": -69, \"e\": -280}", "seed": "14050561781676284725", "semantic_fingerprint": "sha256:31281d6e44baee0ce45b403fba98a95fe0861a7e26afff9e7cdc95447a88d078", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000820", "prompt": "Calculate: -7 * (-5) * (0 - (-50)) + 8", "solution_steps": ["Multiply: -7 * (-5) = 35", "Subtract: 0 - (-50) = 50", "Multiply: 35 * 50 = 1750", "Add: 1750 + 8 = 1758"], "final_answer": "1758", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (-5) * (0 - (-50)) + 8", "variable": null, "family": "expression_4op", "shape": "(+ (* (* n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -5, \"c\": 0, \"d\": -50, \"e\": 8}", "seed": "6008203597108709782", "semantic_fingerprint": "sha256:c7f8b412e0c6d059ecdc50ef48fbd9e1907a69e8a9da4febd39a5cd2b01bc103", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000821", "prompt": "What is -2 - (0 * (-93) + 5)?", "solution_steps": ["Multiply: 0 * (-93) = 0", "Add: 0 + 5 = 5", "Subtract: -2 - 5 = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (0 * (-93) + 5)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 0, \"c\": -93, \"d\": 5}", "seed": "2002273868372469985", "semantic_fingerprint": "sha256:420097a992bfcb3f4f4e0824ec11d237f4e9443c627960809fbca4539ad8fde5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000822", "prompt": "What is (-122 - (-43)) * (-1 * (-32))?", "solution_steps": ["Subtract: -122 - (-43) = -79", "Multiply: -1 * (-32) = 32", "Multiply: -79 * 32 = -2528"], "final_answer": "-2528", "answer_type": "integer", "kind": "expression", "math_text": "(-122 - (-43)) * (-1 * (-32))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -122, \"b\": -43, \"c\": -1, \"d\": -32}", "seed": "1773982465552251549", "semantic_fingerprint": "sha256:37a5121f2dcf0dcfd35af86e7c9aec384133eec2105bb5186d780d9ee388024b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000823", "prompt": "Find x: x - 805 = 12(x - 2) + 54", "solution_steps": ["Expand: x - 805 = 12x - 24 + 54", "Combine constants: x - 805 = 12x + 30", "Subtract 12x from both sides: -11x - 805 = 30", "Add 805 to both sides: -11x = 835", "Divide both sides by -11: x = -835/11"], "final_answer": "-835/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 805 = 12(x - 2) + 54", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 805, \"b\": 12, \"c\": 2, \"d\": 54}", "seed": "18127359366782256010", "semantic_fingerprint": "sha256:d2300e0da40dc9ba3114e683ce3b2942eb509b10450426faedb78fcc0fee395d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000824", "prompt": "Solve the equation -10(x - 34) - 6 = 10(x - 18) - 2 for x.", "solution_steps": ["Expand: -10x + 340 - 6 = 10(x - 18) - 2", "Expand: -10x + 340 - 6 = 10x - 180 - 2", "Combine constants: -10x + 334 = 10x - 180 - 2", "Combine constants: -10x + 334 = 10x - 182", "Subtract 10x from both sides: -20x + 334 = -182", "Subtract 334 from both sides: -20x = -516", "Divide both sides by -20: x = 129/5"], "final_answer": "129/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 34) - 6 = 10(x - 18) - 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 34, \"c\": 6, \"d\": 10, \"e\": 18, \"f\": 2}", "seed": "17792642304866705513", "semantic_fingerprint": "sha256:c8c170931c1586881f160375dfb99678c959efb1833471031b58b7bd872a80f9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000825", "prompt": "Calculate: (4 - (-1)) * 0 * (-72)", "solution_steps": ["Subtract: 4 - (-1) = 5", "Multiply: 5 * 0 = 0", "Multiply: 0 * (-72) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(4 - (-1)) * 0 * (-72)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -1, \"c\": 0, \"d\": -72}", "seed": "11284680509963750431", "semantic_fingerprint": "sha256:bfe6ca3faa64ebb9f109efddb1c9ef47e26db27699dcb9eae9d6be1c95f5a14a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000826", "prompt": "Compute: 5 / (-92 * (25 - 7)) * (16 + 40)", "solution_steps": ["Subtract: 25 - 7 = 18", "Multiply: -92 * 18 = -1656", "Divide: 5 / (-1656) = -5/1656", "Add: 16 + 40 = 56", "Multiply: (-5/1656) * 56 = -35/207"], "final_answer": "-35/207", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-92 * (25 - 7)) * (16 + 40)", "variable": null, "family": "expression_5op", "shape": "(* (/ n (* n (- n n))) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -92, \"c\": 25, \"d\": 7, \"e\": 16, \"f\": 40}", "seed": "9556921310915293403", "semantic_fingerprint": "sha256:99bc1c7c60e535eda2fde057d6091b167b8560b66c5e0829e292625b3a6c6d64", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000827", "prompt": "Calculate: ((58 - (-5)) / (-95) - 1) / 3", "solution_steps": ["Subtract: 58 - (-5) = 63", "Divide: 63 / (-95) = -63/95", "Subtract: -63/95 - 1 = -158/95", "Divide: (-158/95) / 3 = -158/285"], "final_answer": "-158/285", "answer_type": "rational", "kind": "expression", "math_text": "((58 - (-5)) / (-95) - 1) / 3", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": -5, \"c\": -95, \"d\": 1, \"e\": 3}", "seed": "13103460383547971815", "semantic_fingerprint": "sha256:682d10b286b4f6c942d05c1ace45e1ba938ba7bf83e16d5c69c1eda58931cb85", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000828", "prompt": "Evaluate: -16 - (-63 * (-81 - 44) - 17)", "solution_steps": ["Subtract: -81 - 44 = -125", "Multiply: -63 * (-125) = 7875", "Subtract: 7875 - 17 = 7858", "Subtract: -16 - 7858 = -7874"], "final_answer": "-7874", "answer_type": "integer", "kind": "expression", "math_text": "-16 - (-63 * (-81 - 44) - 17)", "variable": null, "family": "expression_4op", "shape": "(- n (- (* n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": -63, \"c\": -81, \"d\": 44, \"e\": 17}", "seed": "1417138268235856156", "semantic_fingerprint": "sha256:63fe47d596f751c301090d7ce82f4c0e942eb1ebeb0a2a2ea27baae9cb133cd6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000829", "prompt": "Solve for x: 9(x - 73) + 678 = -5(x - 7)", "solution_steps": ["Expand: 9x - 657 + 678 = -5(x - 7)", "Expand: 9x - 657 + 678 = -5x + 35", "Combine constants: 9x + 21 = -5x + 35", "Add 5x to both sides: 14x + 21 = 35", "Subtract 21 from both sides: 14x = 14", "Divide both sides by 14: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 73) + 678 = -5(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 73, \"c\": -5, \"d\": 7, \"f\": 678, \"x\": 1}", "seed": "16053633710090129478", "semantic_fingerprint": "sha256:79e163d1f40b89839745421c54a39f70aebe857fb125f66c63a8c845fbed987c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000830", "prompt": "Calculate: -3 + (-229) / (-6) / (-654)", "solution_steps": ["Divide: -229 / (-6) = 229/6", "Divide: (229/6) / (-654) = -229/3924", "Add: -3 + (-229/3924) = -12001/3924"], "final_answer": "-12001/3924", "answer_type": "rational", "kind": "expression", "math_text": "-3 + (-229) / (-6) / (-654)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -229, \"c\": -6, \"d\": -654}", "seed": "5681228056194199257", "semantic_fingerprint": "sha256:58854c01da80330525224876356a571b94c8c792d5acff06b976cf46ba77f4e4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000831", "prompt": "Calculate: -12 / (-15 / (-461) * (2 * 1))", "solution_steps": ["Divide: -15 / (-461) = 15/461", "Multiply: 2 * 1 = 2", "Multiply: (15/461) * 2 = 30/461", "Divide: -12 / (30/461) = -922/5"], "final_answer": "-922/5", "answer_type": "rational", "kind": "expression", "math_text": "-12 / (-15 / (-461) * (2 * 1))", "variable": null, "family": "expression_4op", "shape": "(/ n (* (/ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -15, \"c\": -461, \"d\": 2, \"e\": 1}", "seed": "15245388549493597866", "semantic_fingerprint": "sha256:75c1b47c003045a359024d78f83db33b0ecfbd5f5655100ca46a9dd2e10125e4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000832", "prompt": "Solve the equation -12(x - 3) + 8 = 8(x + 33) - 360 for x.", "solution_steps": ["Expand: -12x + 36 + 8 = 8(x + 33) - 360", "Expand: -12x + 36 + 8 = 8x + 264 - 360", "Combine constants: -12x + 44 = 8x + 264 - 360", "Combine constants: -12x + 44 = 8x - 96", "Subtract 8x from both sides: -20x + 44 = -96", "Subtract 44 from both sides: -20x = -140", "Divide both sides by -20: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 3) + 8 = 8(x + 33) - 360", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 3, \"c\": 8, \"d\": 8, \"e\": 33, \"g\": -360, \"x\": 7}", "seed": "7048782722908232147", "semantic_fingerprint": "sha256:a851777339407f380675812f015d4a648d96a97f18cbeab951327de9e9e2d80d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000833", "prompt": "What is (45 + 39 * (-4)) / (446 / (-755 - (-832)))?", "solution_steps": ["Multiply: 39 * (-4) = -156", "Add: 45 + (-156) = -111", "Subtract: -755 - (-832) = 77", "Divide: 446 / 77 = 446/77", "Divide: -111 / (446/77) = -8547/446"], "final_answer": "-8547/446", "answer_type": "rational", "kind": "expression", "math_text": "(45 + 39 * (-4)) / (446 / (-755 - (-832)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (* n n)) (/ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": 39, \"c\": -4, \"d\": 446, \"e\": -755, \"f\": -832}", "seed": "4828614629650335067", "semantic_fingerprint": "sha256:ab6372c10acb00f38f955b32c09fbbd5633fb078cd5e7bffee09757f34715013", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000834", "prompt": "Compute: -919 * (-6) / (45 + (-6))", "solution_steps": ["Multiply: -919 * (-6) = 5514", "Add: 45 + (-6) = 39", "Divide: 5514 / 39 = 1838/13"], "final_answer": "1838/13", "answer_type": "rational", "kind": "expression", "math_text": "-919 * (-6) / (45 + (-6))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -919, \"b\": -6, \"c\": 45, \"d\": -6}", "seed": "2816907151009508534", "semantic_fingerprint": "sha256:81e45b5137172b9e7fc72dfa11eb4f34f0d89e2e49c82bd7c9fe8117ede84edf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000835", "prompt": "Evaluate: 37 * ((-8 + 8) * (-82 * (-52)))", "solution_steps": ["Add: -8 + 8 = 0", "Multiply: -82 * (-52) = 4264", "Multiply: 0 * 4264 = 0", "Multiply: 37 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "37 * ((-8 + 8) * (-82 * (-52)))", "variable": null, "family": "expression_4op", "shape": "(* n (* (+ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": -8, \"c\": 8, \"d\": -82, \"e\": -52}", "seed": "4449484303360732185", "semantic_fingerprint": "sha256:37e2986e14970e60ea7aac569bf11cfd828ff76564cf5bf2633f03b35f2b8b7f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000836", "prompt": "Evaluate: -5 * 0 / (-318 + 629)", "solution_steps": ["Multiply: -5 * 0 = 0", "Add: -318 + 629 = 311", "Divide: 0 / 311 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-5 * 0 / (-318 + 629)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 0, \"c\": -318, \"d\": 629}", "seed": "16910911923526720196", "semantic_fingerprint": "sha256:568997d757fe324a2357badeaea9d4ba6fa56430c1f42367e1be30f356b493b7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000837", "prompt": "Calculate: -27 * (-11 / (-6 / (-1)) + 84)", "solution_steps": ["Divide: -6 / (-1) = 6", "Divide: -11 / 6 = -11/6", "Add: -11/6 + 84 = 493/6", "Multiply: -27 * (493/6) = -4437/2"], "final_answer": "-4437/2", "answer_type": "rational", "kind": "expression", "math_text": "-27 * (-11 / (-6 / (-1)) + 84)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (/ n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": -11, \"c\": -6, \"d\": -1, \"e\": 84}", "seed": "17484387631296780756", "semantic_fingerprint": "sha256:bf2d21fe1ad25bee24a666acc6798fe627856512c3c3892da5db382b29abd9d3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000838", "prompt": "What is -2 * (-5 - (58 * (-531) + (-5 + 1)))?", "solution_steps": ["Multiply: 58 * (-531) = -30798", "Add: -5 + 1 = -4", "Add: -30798 + (-4) = -30802", "Subtract: -5 - (-30802) = 30797", "Multiply: -2 * 30797 = -61594"], "final_answer": "-61594", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-5 - (58 * (-531) + (-5 + 1)))", "variable": null, "family": "expression_5op", "shape": "(* n (- n (+ (* n n) (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -5, \"c\": 58, \"d\": -531, \"e\": -5, \"f\": 1}", "seed": "10568767726096935272", "semantic_fingerprint": "sha256:903ae918677df992b4e1730c05d52bd02a6741e8e959c9ca3270bc935344cb9c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000839", "prompt": "What is 33 * (-14 - (-60 - 8 / (-14)))?", "solution_steps": ["Divide: 8 / (-14) = -4/7", "Subtract: -60 - (-4/7) = -416/7", "Subtract: -14 - (-416/7) = 318/7", "Multiply: 33 * (318/7) = 10494/7"], "final_answer": "10494/7", "answer_type": "rational", "kind": "expression", "math_text": "33 * (-14 - (-60 - 8 / (-14)))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (- n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": -14, \"c\": -60, \"d\": 8, \"e\": -14}", "seed": "14535316814556665379", "semantic_fingerprint": "sha256:f297946071867983622fa533d8dec39acd084f6823b274ee84e6a2eed76a0dc3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000840", "prompt": "What value of x satisfies x - 6 = 12(x - 63) + 739?", "solution_steps": ["Expand: x - 6 = 12x - 756 + 739", "Combine constants: x - 6 = 12x - 17", "Subtract 12x from both sides: -11x - 6 = -17", "Add 6 to both sides: -11x = -11", "Divide both sides by -11: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6 = 12(x - 63) + 739", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 12, \"c\": 63, \"e\": 739, \"x\": 1}", "seed": "354672941929571172", "semantic_fingerprint": "sha256:2d21098c80948c8b767d82cacbc77978ac0dd68be8ba18b0d16de8ed5a73b214", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000841", "prompt": "Calculate: (31 + 174) / (-57 / (-7))", "solution_steps": ["Add: 31 + 174 = 205", "Divide: -57 / (-7) = 57/7", "Divide: 205 / (57/7) = 1435/57"], "final_answer": "1435/57", "answer_type": "rational", "kind": "expression", "math_text": "(31 + 174) / (-57 / (-7))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 174, \"c\": -57, \"d\": -7}", "seed": "16853802126284016334", "semantic_fingerprint": "sha256:80bb9e9e13c6c2e5e135d6e3f18799114099424de66c13faead3a37246bf50ad", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000842", "prompt": "Find x: 2(x - 30) = -10x - 60", "solution_steps": ["Expand: 2x - 60 = -10x - 60", "Add 10x to both sides: 12x - 60 = -60", "Add 60 to both sides: 12x = 0", "Divide both sides by 12: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 30) = -10x - 60", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 30, \"c\": -10, \"e\": -60, \"x\": 0}", "seed": "15105892567247741341", "semantic_fingerprint": "sha256:df0a75099bc78615ef1b907896b87fbda14bb0863182277210ecb4d4342a7201", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000843", "prompt": "Calculate: (-55 - 377) * 4 * (-3)", "solution_steps": ["Subtract: -55 - 377 = -432", "Multiply: -432 * 4 = -1728", "Multiply: -1728 * (-3) = 5184"], "final_answer": "5184", "answer_type": "integer", "kind": "expression", "math_text": "(-55 - 377) * 4 * (-3)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 377, \"c\": 4, \"d\": -3}", "seed": "8761784989797397945", "semantic_fingerprint": "sha256:c25fbcd9d5f6b68b1b4b36cfed459c7a09217efd921c5777e9277d521cce7855", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000844", "prompt": "Solve for x: 2x - 5 = 6(x + 5) + 3", "solution_steps": ["Expand: 2x - 5 = 6x + 30 + 3", "Combine constants: 2x - 5 = 6x + 33", "Subtract 6x from both sides: -4x - 5 = 33", "Add 5 to both sides: -4x = 38", "Divide both sides by -4: x = -19/2"], "final_answer": "-19/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x - 5 = 6(x + 5) + 3", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": 6, \"d\": 5, \"e\": 3}", "seed": "8146700052725886055", "semantic_fingerprint": "sha256:6583a1e81840d0f855cf996ecd6166b86b6f4f189761ee28fd25892cb30532cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000845", "prompt": "Find x: 7(x - 4) - 39 = 4(x - 9) - 61", "solution_steps": ["Expand: 7x - 28 - 39 = 4(x - 9) - 61", "Expand: 7x - 28 - 39 = 4x - 36 - 61", "Combine constants: 7x - 67 = 4x - 36 - 61", "Combine constants: 7x - 67 = 4x - 97", "Subtract 4x from both sides: 3x - 67 = -97", "Add 67 to both sides: 3x = -30", "Divide both sides by 3: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 4) - 39 = 4(x - 9) - 61", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 39, \"d\": 4, \"e\": 9, \"g\": -61, \"x\": -10}", "seed": "7255300399481503755", "semantic_fingerprint": "sha256:5f3e9a6316ca5e4d2280af1e3647e5c7d76fcca184cfa17db66c6e406bf130ea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000846", "prompt": "Compute: -7 + (47 - (-20)) / (-826) - (-2) * 84", "solution_steps": ["Subtract: 47 - (-20) = 67", "Divide: 67 / (-826) = -67/826", "Add: -7 + (-67/826) = -5849/826", "Multiply: -2 * 84 = -168", "Subtract: -5849/826 - (-168) = 132919/826"], "final_answer": "132919/826", "answer_type": "rational", "kind": "expression", "math_text": "-7 + (47 - (-20)) / (-826) - (-2) * 84", "variable": null, "family": "expression_5op", "shape": "(- (+ n (/ (- n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 47, \"c\": -20, \"d\": -826, \"e\": -2, \"f\": 84}", "seed": "14311111763187005775", "semantic_fingerprint": "sha256:bd6293c20962ef2ce48dc8d9c7d88619cabff60fc54b9978196b8e69865c20de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000847", "prompt": "Find x: -9(x + 27) + 6 = 8(x + 2) - 253", "solution_steps": ["Expand: -9x - 243 + 6 = 8(x + 2) - 253", "Expand: -9x - 243 + 6 = 8x + 16 - 253", "Combine constants: -9x - 237 = 8x + 16 - 253", "Combine constants: -9x - 237 = 8x - 237", "Subtract 8x from both sides: -17x - 237 = -237", "Add 237 to both sides: -17x = 0", "Divide both sides by -17: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 27) + 6 = 8(x + 2) - 253", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 27, \"c\": 6, \"d\": 8, \"e\": 2, \"g\": -253, \"x\": 0}", "seed": "13383277913143912059", "semantic_fingerprint": "sha256:a231f61fea7de8d8d164b7fe8d275e3c63d7a4f47ada20766f9b095d2a17e027", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000848", "prompt": "Calculate: -381 + (-1) / (252 + (4 - (-17)) + 47)", "solution_steps": ["Subtract: 4 - (-17) = 21", "Add: 252 + 21 = 273", "Add: 273 + 47 = 320", "Divide: -1 / 320 = -1/320", "Add: -381 + (-1/320) = -121921/320"], "final_answer": "-121921/320", "answer_type": "rational", "kind": "expression", "math_text": "-381 + (-1) / (252 + (4 - (-17)) + 47)", "variable": null, "family": "expression_5op", "shape": "(+ n (/ n (+ (+ n (- n n)) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -381, \"b\": -1, \"c\": 252, \"d\": 4, \"e\": -17, \"f\": 47}", "seed": "3479043373483031423", "semantic_fingerprint": "sha256:a2e7d1394954f00270cc2f7de8c091e9cc7a11fb312035661c350af4e3c2b612", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000849", "prompt": "Solve the equation 7(x - 698) + 5 = 2(x + 94) - 40 for x.", "solution_steps": ["Expand: 7x - 4886 + 5 = 2(x + 94) - 40", "Expand: 7x - 4886 + 5 = 2x + 188 - 40", "Combine constants: 7x - 4881 = 2x + 188 - 40", "Combine constants: 7x - 4881 = 2x + 148", "Subtract 2x from both sides: 5x - 4881 = 148", "Add 4881 to both sides: 5x = 5029", "Divide both sides by 5: x = 5029/5"], "final_answer": "5029/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 698) + 5 = 2(x + 94) - 40", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 698, \"c\": 5, \"d\": 2, \"e\": 94, \"f\": 40}", "seed": "8470904825533523957", "semantic_fingerprint": "sha256:041ee96a2417fb256b5c76e1342f92d9b78e52b3758884f912df46242b422c6a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000850", "prompt": "Find x: x - 6 = 3(x - 69) + 179", "solution_steps": ["Expand: x - 6 = 3x - 207 + 179", "Combine constants: x - 6 = 3x - 28", "Subtract 3x from both sides: -2x - 6 = -28", "Add 6 to both sides: -2x = -22", "Divide both sides by -2: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6 = 3(x - 69) + 179", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 69, \"e\": 179, \"x\": 11}", "seed": "9299162263507188056", "semantic_fingerprint": "sha256:687344bf7660ad6680e62d691ce985a3fb0c69ddd63cd65e229deb78dc5e9f55", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000851", "prompt": "Find x: 12x - 4 = -2(x + 4) + 20", "solution_steps": ["Expand: 12x - 4 = -2x - 8 + 20", "Combine constants: 12x - 4 = -2x + 12", "Add 2x to both sides: 14x - 4 = 12", "Add 4 to both sides: 14x = 16", "Divide both sides by 14: x = 8/7"], "final_answer": "8/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 4 = -2(x + 4) + 20", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": -2, \"d\": 4, \"e\": 20}", "seed": "107391722536505845", "semantic_fingerprint": "sha256:c04fd412f92d802bca86d36e3c880c124c8c65d49fe9b3be635d765498fcae5f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000852", "prompt": "Compute: -22 - (-8) * (-139) - (-5)", "solution_steps": ["Multiply: -8 * (-139) = 1112", "Subtract: -22 - 1112 = -1134", "Subtract: -1134 - (-5) = -1129"], "final_answer": "-1129", "answer_type": "integer", "kind": "expression", "math_text": "-22 - (-8) * (-139) - (-5)", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": -8, \"c\": -139, \"d\": -5}", "seed": "12169383721311375220", "semantic_fingerprint": "sha256:4e1ad130c7b3e7dbc8518772060e37f0187cabad6632d5e1b782559b1e78324e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000853", "prompt": "Calculate: 71 * (-8) * (18 / ((-8 - 210) * 87))", "solution_steps": ["Multiply: 71 * (-8) = -568", "Subtract: -8 - 210 = -218", "Multiply: -218 * 87 = -18966", "Divide: 18 / (-18966) = -3/3161", "Multiply: -568 * (-3/3161) = 1704/3161"], "final_answer": "1704/3161", "answer_type": "rational", "kind": "expression", "math_text": "71 * (-8) * (18 / ((-8 - 210) * 87))", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (/ n (* (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": -8, \"c\": 18, \"d\": -8, \"e\": 210, \"f\": 87}", "seed": "12094932820035636950", "semantic_fingerprint": "sha256:6aa4d5a3cb94334ff1f1170d03e325fdc7556082ae82a0214f6a0cfeaa9464b6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000854", "prompt": "What value of x satisfies 8(x - 1) + 34 = 6x + 26?", "solution_steps": ["Expand: 8x - 8 + 34 = 6x + 26", "Combine constants: 8x + 26 = 6x + 26", "Subtract 6x from both sides: 2x + 26 = 26", "Subtract 26 from both sides: 2x = 0", "Divide both sides by 2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 1) + 34 = 6x + 26", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": 34, \"d\": 6, \"e\": 26}", "seed": "6911260702308689716", "semantic_fingerprint": "sha256:958ec21d2c20c277bdd1e6bfaa21360a3f07aebad7bf4584e30f952be7be9cc2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000855", "prompt": "Compute: 460 * (2 / 51) + (35 + 41 + 877)", "solution_steps": ["Divide: 2 / 51 = 2/51", "Multiply: 460 * (2/51) = 920/51", "Add: 35 + 41 = 76", "Add: 76 + 877 = 953", "Add: 920/51 + 953 = 49523/51"], "final_answer": "49523/51", "answer_type": "rational", "kind": "expression", "math_text": "460 * (2 / 51) + (35 + 41 + 877)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (/ n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 460, \"b\": 2, \"c\": 51, \"d\": 35, \"e\": 41, \"f\": 877}", "seed": "14252103445154645018", "semantic_fingerprint": "sha256:7b3619e9ff9f1a3c17290b50f450c0ee528ec70a6de0dd47527310d4b8651e7f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000856", "prompt": "Evaluate: 231 * 40 / (-51 + (-288))", "solution_steps": ["Multiply: 231 * 40 = 9240", "Add: -51 + (-288) = -339", "Divide: 9240 / (-339) = -3080/113"], "final_answer": "-3080/113", "answer_type": "rational", "kind": "expression", "math_text": "231 * 40 / (-51 + (-288))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 231, \"b\": 40, \"c\": -51, \"d\": -288}", "seed": "10517031037487833539", "semantic_fingerprint": "sha256:8aa4201e6cf658b643cf9a3ae9731205d880e31b84210ae794101cf217fa0a95", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000857", "prompt": "Compute: 75 * (52 / (-4)) + (5 + 5 + (-3))", "solution_steps": ["Divide: 52 / (-4) = -13", "Multiply: 75 * (-13) = -975", "Add: 5 + 5 = 10", "Add: 10 + (-3) = 7", "Add: -975 + 7 = -968"], "final_answer": "-968", "answer_type": "integer", "kind": "expression", "math_text": "75 * (52 / (-4)) + (5 + 5 + (-3))", "variable": null, "family": "expression_5op", "shape": "(+ (* n (/ n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 52, \"c\": -4, \"d\": 5, \"e\": 5, \"f\": -3}", "seed": "14687533284688118399", "semantic_fingerprint": "sha256:f9bf5b771240f33e50acfaddd7281e73b1ac58789197fb6814e433524e83e7a2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000858", "prompt": "Solve for x: 2(x - 156) = 6x - 264", "solution_steps": ["Expand: 2x - 312 = 6x - 264", "Subtract 6x from both sides: -4x - 312 = -264", "Add 312 to both sides: -4x = 48", "Divide both sides by -4: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 156) = 6x - 264", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 156, \"c\": 6, \"e\": -264, \"x\": -12}", "seed": "2740680362201684160", "semantic_fingerprint": "sha256:82346c300c570837227322ceb94540c92dba8e1d110cce9701602c9804d3ac99", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000859", "prompt": "Calculate: (-586 + 6 / 7) * ((53 - 0) / (-89))", "solution_steps": ["Divide: 6 / 7 = 6/7", "Add: -586 + 6/7 = -4096/7", "Subtract: 53 - 0 = 53", "Divide: 53 / (-89) = -53/89", "Multiply: (-4096/7) * (-53/89) = 217088/623"], "final_answer": "217088/623", "answer_type": "rational", "kind": "expression", "math_text": "(-586 + 6 / 7) * ((53 - 0) / (-89))", "variable": null, "family": "expression_5op", "shape": "(* (+ n (/ n n)) (/ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -586, \"b\": 6, \"c\": 7, \"d\": 53, \"e\": 0, \"f\": -89}", "seed": "7238893633981798659", "semantic_fingerprint": "sha256:4b1eef8d6a00c17c2c734282a99ef059cfa15c3af7706a264966674eae5d50eb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000860", "prompt": "Solve the equation -10(x - 1) + 75 = -6x + 65 for x.", "solution_steps": ["Expand: -10x + 10 + 75 = -6x + 65", "Combine constants: -10x + 85 = -6x + 65", "Add 6x to both sides: -4x + 85 = 65", "Subtract 85 from both sides: -4x = -20", "Divide both sides by -4: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 1) + 75 = -6x + 65", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 1, \"c\": 75, \"d\": -6, \"f\": 65, \"x\": 5}", "seed": "16007795368198054416", "semantic_fingerprint": "sha256:6d5350c9151292324034e95c2d213f3b4679002815aab260b113f65f06107a71", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000861", "prompt": "Find x: 4(x - 4) = 5x - 2", "solution_steps": ["Expand: 4x - 16 = 5x - 2", "Subtract 5x from both sides: -x - 16 = -2", "Add 16 to both sides: -x = 14", "Divide both sides by -1: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 4) = 5x - 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 4, \"c\": 5, \"e\": -2, \"x\": -14}", "seed": "13452437252734387155", "semantic_fingerprint": "sha256:b2117db84228821c908bd8f1c9e8d8abc3f23cb76cb4bfded6cdea9cccc70cc2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000862", "prompt": "Compute: (8 + 94) * (-16) - 86 / (-335)", "solution_steps": ["Add: 8 + 94 = 102", "Multiply: 102 * (-16) = -1632", "Divide: 86 / (-335) = -86/335", "Subtract: -1632 - (-86/335) = -546634/335"], "final_answer": "-546634/335", "answer_type": "rational", "kind": "expression", "math_text": "(8 + 94) * (-16) - 86 / (-335)", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 94, \"c\": -16, \"d\": 86, \"e\": -335}", "seed": "3266590572943016827", "semantic_fingerprint": "sha256:5b239aaf68c743fcd14d40f8cd0ddfe0968e27a7d599d1bfabda0312867ca9ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000863", "prompt": "Calculate: -43 * (-270) - (99 - (416 + (-7)))", "solution_steps": ["Multiply: -43 * (-270) = 11610", "Add: 416 + (-7) = 409", "Subtract: 99 - 409 = -310", "Subtract: 11610 - (-310) = 11920"], "final_answer": "11920", "answer_type": "integer", "kind": "expression", "math_text": "-43 * (-270) - (99 - (416 + (-7)))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": -270, \"c\": 99, \"d\": 416, \"e\": -7}", "seed": "6444727599348086256", "semantic_fingerprint": "sha256:ae76f53dc958c0dbf548264ded65c9c7a2b6cbce1be85bfaf5b23ba9d9b2c7c6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000864", "prompt": "Solve for x: 7(x + 9) - 2 = x - 579", "solution_steps": ["Expand: 7x + 63 - 2 = x - 579", "Combine constants: 7x + 61 = x - 579", "Subtract x from both sides: 6x + 61 = -579", "Subtract 61 from both sides: 6x = -640", "Divide both sides by 6: x = -320/3"], "final_answer": "-320/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 9) - 2 = x - 579", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 2, \"d\": 579}", "seed": "10403690914339751243", "semantic_fingerprint": "sha256:cef20ed3c4e173202c0bdd9b6ae4bc8cdfd1745e7561f201574565943ea13c46", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000865", "prompt": "Solve for x: 6(x - 62) = 8x - 5", "solution_steps": ["Expand: 6x - 372 = 8x - 5", "Subtract 8x from both sides: -2x - 372 = -5", "Add 372 to both sides: -2x = 367", "Divide both sides by -2: x = -367/2"], "final_answer": "-367/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 62) = 8x - 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 62, \"c\": 8, \"d\": 5}", "seed": "2601751973506455107", "semantic_fingerprint": "sha256:57d6796ef6f018ffe79089966ab33d200b700d6e7a4e17234eb594a2a3698d41", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000866", "prompt": "Compute: (668 + 59 + 48) * 31", "solution_steps": ["Add: 668 + 59 = 727", "Add: 727 + 48 = 775", "Multiply: 775 * 31 = 24025"], "final_answer": "24025", "answer_type": "integer", "kind": "expression", "math_text": "(668 + 59 + 48) * 31", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 668, \"b\": 59, \"c\": 48, \"d\": 31}", "seed": "16609972893211037116", "semantic_fingerprint": "sha256:c3e54127f213d5867c795c638450d7be9f03aece6746b8c055fd4e9c891e9e2a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000867", "prompt": "Evaluate: -90 + (-195) / 6 / 2", "solution_steps": ["Divide: -195 / 6 = -65/2", "Divide: (-65/2) / 2 = -65/4", "Add: -90 + (-65/4) = -425/4"], "final_answer": "-425/4", "answer_type": "rational", "kind": "expression", "math_text": "-90 + (-195) / 6 / 2", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": -195, \"c\": 6, \"d\": 2}", "seed": "15631381569815652557", "semantic_fingerprint": "sha256:accb5d0915cbe3b094cb3d886ebefc63d25251bcefaca6da4d09981dd36bc7b4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000868", "prompt": "Compute: 177 / 9 - (-542 - (-410 - 23 * 729))", "solution_steps": ["Divide: 177 / 9 = 59/3", "Multiply: 23 * 729 = 16767", "Subtract: -410 - 16767 = -17177", "Subtract: -542 - (-17177) = 16635", "Subtract: 59/3 - 16635 = -49846/3"], "final_answer": "-49846/3", "answer_type": "rational", "kind": "expression", "math_text": "177 / 9 - (-542 - (-410 - 23 * 729))", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (- n (- n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 177, \"b\": 9, \"c\": -542, \"d\": -410, \"e\": 23, \"f\": 729}", "seed": "1152922651589976462", "semantic_fingerprint": "sha256:28e91be258f7ab5bc8f72dc0f0901d7dccb64774aba499a95a195ffe8f6a8016", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000869", "prompt": "What value of x satisfies 5(x - 6) + 5 = 7(x + 67) - 494?", "solution_steps": ["Expand: 5x - 30 + 5 = 7(x + 67) - 494", "Expand: 5x - 30 + 5 = 7x + 469 - 494", "Combine constants: 5x - 25 = 7x + 469 - 494", "Combine constants: 5x - 25 = 7x - 25", "Subtract 7x from both sides: -2x - 25 = -25", "Add 25 to both sides: -2x = 0", "Divide both sides by -2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 6) + 5 = 7(x + 67) - 494", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": 5, \"d\": 7, \"e\": 67, \"g\": -494, \"x\": 0}", "seed": "9715585230511065210", "semantic_fingerprint": "sha256:371d5561470b34fcfc54e9eee25a0667fcd1f29444dcf5eb251142591c99987e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000870", "prompt": "Solve the equation 11x - 97 = -9(x + 9) + 264 for x.", "solution_steps": ["Expand: 11x - 97 = -9x - 81 + 264", "Combine constants: 11x - 97 = -9x + 183", "Add 9x to both sides: 20x - 97 = 183", "Add 97 to both sides: 20x = 280", "Divide both sides by 20: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 97 = -9(x + 9) + 264", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 97, \"c\": -9, \"d\": 9, \"f\": 264, \"x\": 14}", "seed": "10626503783737378387", "semantic_fingerprint": "sha256:823959afcafc6b9caeb4154b611b0271d7f6addca6e0661de6a89f6933296ec2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000871", "prompt": "Find x: -12(x + 7) + 6 = -8(x + 5) - 22", "solution_steps": ["Expand: -12x - 84 + 6 = -8(x + 5) - 22", "Expand: -12x - 84 + 6 = -8x - 40 - 22", "Combine constants: -12x - 78 = -8x - 40 - 22", "Combine constants: -12x - 78 = -8x - 62", "Add 8x to both sides: -4x - 78 = -62", "Add 78 to both sides: -4x = 16", "Divide both sides by -4: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 7) + 6 = -8(x + 5) - 22", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 7, \"c\": 6, \"d\": -8, \"e\": 5, \"g\": -22, \"x\": -4}", "seed": "46034222641515960", "semantic_fingerprint": "sha256:afefdbe6b88b0c512862fbf22057ca32af099b3841f87710c585dd4ff4056dc9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000872", "prompt": "Solve the equation 2(x - 8) + 46 = 7x + 15 for x.", "solution_steps": ["Expand: 2x - 16 + 46 = 7x + 15", "Combine constants: 2x + 30 = 7x + 15", "Subtract 7x from both sides: -5x + 30 = 15", "Subtract 30 from both sides: -5x = -15", "Divide both sides by -5: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 8) + 46 = 7x + 15", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 46, \"d\": 7, \"f\": 15, \"x\": 3}", "seed": "9363277414027077429", "semantic_fingerprint": "sha256:60f59f0888f47561774285fc67ed5fc9e4523ee57fb9f703b9e4b6af97f317bf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000873", "prompt": "Compute: (991 + 51) / (19 * (-4)) - 936", "solution_steps": ["Add: 991 + 51 = 1042", "Multiply: 19 * (-4) = -76", "Divide: 1042 / (-76) = -521/38", "Subtract: -521/38 - 936 = -36089/38"], "final_answer": "-36089/38", "answer_type": "rational", "kind": "expression", "math_text": "(991 + 51) / (19 * (-4)) - 936", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 991, \"b\": 51, \"c\": 19, \"d\": -4, \"e\": 936}", "seed": "14061910544313309267", "semantic_fingerprint": "sha256:c489c4bbe886d98646db83680f9ea626216b730a73b46d04c54d4c0390e78a92", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000874", "prompt": "Compute: 32 / (790 - 8 / (18 + 3)) - (-4)", "solution_steps": ["Add: 18 + 3 = 21", "Divide: 8 / 21 = 8/21", "Subtract: 790 - 8/21 = 16582/21", "Divide: 32 / (16582/21) = 336/8291", "Subtract: 336/8291 - (-4) = 33500/8291"], "final_answer": "33500/8291", "answer_type": "rational", "kind": "expression", "math_text": "32 / (790 - 8 / (18 + 3)) - (-4)", "variable": null, "family": "expression_5op", "shape": "(- (/ n (- n (/ n (+ n n)))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": 790, \"c\": 8, \"d\": 18, \"e\": 3, \"f\": -4}", "seed": "15982902651722849459", "semantic_fingerprint": "sha256:834fa0ef300901e2cf1eba385b28eb842c9104c534adcf97a1fd194da94b501d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000875", "prompt": "Find x: 7(x + 4) + 28 = 5(x + 35) - 113", "solution_steps": ["Expand: 7x + 28 + 28 = 5(x + 35) - 113", "Expand: 7x + 28 + 28 = 5x + 175 - 113", "Combine constants: 7x + 56 = 5x + 175 - 113", "Combine constants: 7x + 56 = 5x + 62", "Subtract 5x from both sides: 2x + 56 = 62", "Subtract 56 from both sides: 2x = 6", "Divide both sides by 2: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 4) + 28 = 5(x + 35) - 113", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 28, \"d\": 5, \"e\": 35, \"g\": -113, \"x\": 3}", "seed": "4212226609234901474", "semantic_fingerprint": "sha256:a1a5d4002b4cb4584519bde92e6e6f8b0d04bb6315c9ff445b56c9cd39595c67", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000876", "prompt": "What is (354 / 34 - (-6)) / (28 - 72)?", "solution_steps": ["Divide: 354 / 34 = 177/17", "Subtract: 177/17 - (-6) = 279/17", "Subtract: 28 - 72 = -44", "Divide: (279/17) / (-44) = -279/748"], "final_answer": "-279/748", "answer_type": "rational", "kind": "expression", "math_text": "(354 / 34 - (-6)) / (28 - 72)", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 354, \"b\": 34, \"c\": -6, \"d\": 28, \"e\": 72}", "seed": "607729471418492957", "semantic_fingerprint": "sha256:145e30656ffe6d3f7e0335183bd041f86ac35b0ccba0938862e0579bb3938578", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000877", "prompt": "Evaluate: 6 + 985 - (331 + 41)", "solution_steps": ["Add: 6 + 985 = 991", "Add: 331 + 41 = 372", "Subtract: 991 - 372 = 619"], "final_answer": "619", "answer_type": "integer", "kind": "expression", "math_text": "6 + 985 - (331 + 41)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 985, \"c\": 331, \"d\": 41}", "seed": "3426563650121068547", "semantic_fingerprint": "sha256:c062cd760fa352d5b4b050528c6956ecca7cbd2669b5f430501a3dcaa3f96ad2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000878", "prompt": "Compute: 3 * (-2 - 9 + 95)", "solution_steps": ["Subtract: -2 - 9 = -11", "Add: -11 + 95 = 84", "Multiply: 3 * 84 = 252"], "final_answer": "252", "answer_type": "integer", "kind": "expression", "math_text": "3 * (-2 - 9 + 95)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -2, \"c\": 9, \"d\": 95}", "seed": "14085521127336400575", "semantic_fingerprint": "sha256:f3cb2cb95751a41874e56db47a3e8232ddec5530a052f4d06fce00f993554d87", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000879", "prompt": "Calculate: -5 - (-36) / (-34 / 30)", "solution_steps": ["Divide: -34 / 30 = -17/15", "Divide: -36 / (-17/15) = 540/17", "Subtract: -5 - 540/17 = -625/17"], "final_answer": "-625/17", "answer_type": "rational", "kind": "expression", "math_text": "-5 - (-36) / (-34 / 30)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -36, \"c\": -34, \"d\": 30}", "seed": "3484941709731329475", "semantic_fingerprint": "sha256:38a0045533db506180733cb3e0a623fae9ba4b634c271be69bfec42e410016f3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000880", "prompt": "Calculate: 551 / 72 * (56 / (426 + 85))", "solution_steps": ["Divide: 551 / 72 = 551/72", "Add: 426 + 85 = 511", "Divide: 56 / 511 = 8/73", "Multiply: (551/72) * (8/73) = 551/657"], "final_answer": "551/657", "answer_type": "rational", "kind": "expression", "math_text": "551 / 72 * (56 / (426 + 85))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 551, \"b\": 72, \"c\": 56, \"d\": 426, \"e\": 85}", "seed": "2844746791939480687", "semantic_fingerprint": "sha256:709de65d078356350af2f51e80332fd6c92e0ee01f8fdd069dbe9cf8ccd77373", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000881", "prompt": "Find x: -2(x - 65) + 2 = 3x + 67", "solution_steps": ["Expand: -2x + 130 + 2 = 3x + 67", "Combine constants: -2x + 132 = 3x + 67", "Subtract 3x from both sides: -5x + 132 = 67", "Subtract 132 from both sides: -5x = -65", "Divide both sides by -5: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 65) + 2 = 3x + 67", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 65, \"c\": 2, \"d\": 3, \"f\": 67, \"x\": 13}", "seed": "7069426847070551003", "semantic_fingerprint": "sha256:f175eedb4d49a1bbaa4a7eadc6298c2c83df4dfa8a3b7ce02cef902b3f458486", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000882", "prompt": "What is -75 + (-1) - 12 + (-8)?", "solution_steps": ["Add: -75 + (-1) = -76", "Subtract: -76 - 12 = -88", "Add: -88 + (-8) = -96"], "final_answer": "-96", "answer_type": "integer", "kind": "expression", "math_text": "-75 + (-1) - 12 + (-8)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -1, \"c\": 12, \"d\": -8}", "seed": "11387475893064575939", "semantic_fingerprint": "sha256:3b4a0ded097df1769774b01653b4620cf3a6ab5926a55788acfa6635fd5b39f9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000883", "prompt": "What is -8 * (61 * (-8) + (-1)) + (-5)?", "solution_steps": ["Multiply: 61 * (-8) = -488", "Add: -488 + (-1) = -489", "Multiply: -8 * (-489) = 3912", "Add: 3912 + (-5) = 3907"], "final_answer": "3907", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (61 * (-8) + (-1)) + (-5)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 61, \"c\": -8, \"d\": -1, \"e\": -5}", "seed": "1048833597264064792", "semantic_fingerprint": "sha256:9f9c65419c6eb890ae64e1ae39ff09ab17118f471f8883aa094b3884b5dbbdec", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000884", "prompt": "Solve the equation -9(x + 176) - 156 = x - 1 for x.", "solution_steps": ["Expand: -9x - 1584 - 156 = x - 1", "Combine constants: -9x - 1740 = x - 1", "Subtract x from both sides: -10x - 1740 = -1", "Add 1740 to both sides: -10x = 1739", "Divide both sides by -10: x = -1739/10"], "final_answer": "-1739/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 176) - 156 = x - 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 176, \"c\": 156, \"d\": 1}", "seed": "13817271194993336509", "semantic_fingerprint": "sha256:b71aa4a00be240ffa5f1c5b5b00b1f353f246fbfa312596930a6049cd0baae12", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000885", "prompt": "Solve the equation 6(x - 81) = -7x - 3 for x.", "solution_steps": ["Expand: 6x - 486 = -7x - 3", "Add 7x to both sides: 13x - 486 = -3", "Add 486 to both sides: 13x = 483", "Divide both sides by 13: x = 483/13"], "final_answer": "483/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 81) = -7x - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 81, \"c\": -7, \"d\": 3}", "seed": "14081600038206327713", "semantic_fingerprint": "sha256:7dc133b352eedba428097d2f952d3d0500db92cc85b9add34aca3ad7fa3fedb5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000886", "prompt": "Find x: 8(x - 29) = -5x - 11", "solution_steps": ["Expand: 8x - 232 = -5x - 11", "Add 5x to both sides: 13x - 232 = -11", "Add 232 to both sides: 13x = 221", "Divide both sides by 13: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 29) = -5x - 11", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 29, \"c\": -5, \"e\": -11, \"x\": 17}", "seed": "1802997777702055903", "semantic_fingerprint": "sha256:bb4f5a162bebc092cecc0fe8888374a0e8b230c6542fc9fe40a09fc3cfa7f788", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000887", "prompt": "Compute: 91 + (-5) * (-3) - 6 + 284", "solution_steps": ["Multiply: -5 * (-3) = 15", "Add: 91 + 15 = 106", "Subtract: 106 - 6 = 100", "Add: 100 + 284 = 384"], "final_answer": "384", "answer_type": "integer", "kind": "expression", "math_text": "91 + (-5) * (-3) - 6 + 284", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -5, \"c\": -3, \"d\": 6, \"e\": 284}", "seed": "9186492394079953197", "semantic_fingerprint": "sha256:5c546600fc4b5b6d319794fff6e323234fcad534b69d2951d14d8dcc93c97680", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000888", "prompt": "Solve for x: x - 584 = 10(x - 60) + 70", "solution_steps": ["Expand: x - 584 = 10x - 600 + 70", "Combine constants: x - 584 = 10x - 530", "Subtract 10x from both sides: -9x - 584 = -530", "Add 584 to both sides: -9x = 54", "Divide both sides by -9: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 584 = 10(x - 60) + 70", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 584, \"b\": 10, \"c\": 60, \"e\": 70, \"x\": -6}", "seed": "5989357961633841102", "semantic_fingerprint": "sha256:6bd420397095cd7c4121ebcbca1093a53ecd354db5c0b068ba84daf44fd0b1ee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000889", "prompt": "What is (-315 - 73) / (61 * 15)?", "solution_steps": ["Subtract: -315 - 73 = -388", "Multiply: 61 * 15 = 915", "Divide: -388 / 915 = -388/915"], "final_answer": "-388/915", "answer_type": "rational", "kind": "expression", "math_text": "(-315 - 73) / (61 * 15)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -315, \"b\": 73, \"c\": 61, \"d\": 15}", "seed": "4231098541131085203", "semantic_fingerprint": "sha256:a2f9fe197b097287c37f2be79b3dbd73185060502712c65d1d4d3401df2c8222", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000890", "prompt": "Compute: 9 / 9 * (-64 - (-8 + (-840)) + 62)", "solution_steps": ["Divide: 9 / 9 = 1", "Add: -8 + (-840) = -848", "Subtract: -64 - (-848) = 784", "Add: 784 + 62 = 846", "Multiply: 1 * 846 = 846"], "final_answer": "846", "answer_type": "integer", "kind": "expression", "math_text": "9 / 9 * (-64 - (-8 + (-840)) + 62)", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (+ (- n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": -64, \"d\": -8, \"e\": -840, \"f\": 62}", "seed": "9502652706971533035", "semantic_fingerprint": "sha256:67d0ecd3d921f752cbbe926fcd2617a33bd0994c63396220e8944c522cd8faf0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000891", "prompt": "Calculate: (-4 + (-790) + (-213)) / (5 / (-8))", "solution_steps": ["Add: -4 + (-790) = -794", "Add: -794 + (-213) = -1007", "Divide: 5 / (-8) = -5/8", "Divide: -1007 / (-5/8) = 8056/5"], "final_answer": "8056/5", "answer_type": "rational", "kind": "expression", "math_text": "(-4 + (-790) + (-213)) / (5 / (-8))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -790, \"c\": -213, \"d\": 5, \"e\": -8}", "seed": "17862840061810310026", "semantic_fingerprint": "sha256:976e09a6d5136e91365ee6ad8642825a92d7588d571e35d736db267463daa69f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000892", "prompt": "Find x: -12(x - 5) - 6 = 4(x - 256) - 89", "solution_steps": ["Expand: -12x + 60 - 6 = 4(x - 256) - 89", "Expand: -12x + 60 - 6 = 4x - 1024 - 89", "Combine constants: -12x + 54 = 4x - 1024 - 89", "Combine constants: -12x + 54 = 4x - 1113", "Subtract 4x from both sides: -16x + 54 = -1113", "Subtract 54 from both sides: -16x = -1167", "Divide both sides by -16: x = 1167/16"], "final_answer": "1167/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 5) - 6 = 4(x - 256) - 89", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 5, \"c\": 6, \"d\": 4, \"e\": 256, \"f\": 89}", "seed": "4487971564797624931", "semantic_fingerprint": "sha256:f3b99833047a8a9cca97cd3aba591c4b166f637fa1cd3703ca6f4b73b6c7bec3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000893", "prompt": "Calculate: -70 + (54 * 2 - (-637))", "solution_steps": ["Multiply: 54 * 2 = 108", "Subtract: 108 - (-637) = 745", "Add: -70 + 745 = 675"], "final_answer": "675", "answer_type": "integer", "kind": "expression", "math_text": "-70 + (54 * 2 - (-637))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 54, \"c\": 2, \"d\": -637}", "seed": "11481390131438760749", "semantic_fingerprint": "sha256:bcb26ce905c6b5d8d059882a30367297ceb53096d94230024a06d9e74923e247", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000894", "prompt": "Calculate: 281 * (66 / 47 / 7)", "solution_steps": ["Divide: 66 / 47 = 66/47", "Divide: (66/47) / 7 = 66/329", "Multiply: 281 * (66/329) = 18546/329"], "final_answer": "18546/329", "answer_type": "rational", "kind": "expression", "math_text": "281 * (66 / 47 / 7)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 281, \"b\": 66, \"c\": 47, \"d\": 7}", "seed": "9208020745425019510", "semantic_fingerprint": "sha256:82dfe673df503610742d95ce91cfbdca33fe0a701deb188a89149582df47a60a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000895", "prompt": "Find x: 2(x - 83) + 7 = 3(x - 6)", "solution_steps": ["Expand: 2x - 166 + 7 = 3(x - 6)", "Expand: 2x - 166 + 7 = 3x - 18", "Combine constants: 2x - 159 = 3x - 18", "Subtract 3x from both sides: -x - 159 = -18", "Add 159 to both sides: -x = 141", "Divide both sides by -1: x = -141"], "final_answer": "-141", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 83) + 7 = 3(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 83, \"c\": 7, \"d\": 3, \"e\": 6}", "seed": "18246456834929922681", "semantic_fingerprint": "sha256:265677684b1792d76fbbcf2e27d690852333acb4d3b08ce9ac1e8ad544d45644", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000896", "prompt": "Calculate: 0 / 54 + 4 / (-48)", "solution_steps": ["Divide: 0 / 54 = 0", "Divide: 4 / (-48) = -1/12", "Add: 0 + (-1/12) = -1/12"], "final_answer": "-1/12", "answer_type": "rational", "kind": "expression", "math_text": "0 / 54 + 4 / (-48)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 54, \"c\": 4, \"d\": -48}", "seed": "3289918939007545846", "semantic_fingerprint": "sha256:2058a7573fb87755195c0a81860557daf863657d2c3895fa210742a78cd78af6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000897", "prompt": "Evaluate: (8 - 85) / (3 * 90)", "solution_steps": ["Subtract: 8 - 85 = -77", "Multiply: 3 * 90 = 270", "Divide: -77 / 270 = -77/270"], "final_answer": "-77/270", "answer_type": "rational", "kind": "expression", "math_text": "(8 - 85) / (3 * 90)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 85, \"c\": 3, \"d\": 90}", "seed": "8402323141014926212", "semantic_fingerprint": "sha256:19f2ad58b13c4ec60eb04b64fd5791011606162b83b7d72fdf426650c06d2499", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000898", "prompt": "Calculate: (-6 - (-87) + 9) * 2", "solution_steps": ["Subtract: -6 - (-87) = 81", "Add: 81 + 9 = 90", "Multiply: 90 * 2 = 180"], "final_answer": "180", "answer_type": "integer", "kind": "expression", "math_text": "(-6 - (-87) + 9) * 2", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -87, \"c\": 9, \"d\": 2}", "seed": "15351454065461794540", "semantic_fingerprint": "sha256:2dd0759bfde35f92b8bcbff29fa7aad1c362b0a6abe628281fdca296beb7abb8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000899", "prompt": "What value of x satisfies 3(x - 708) = 7x - 95?", "solution_steps": ["Expand: 3x - 2124 = 7x - 95", "Subtract 7x from both sides: -4x - 2124 = -95", "Add 2124 to both sides: -4x = 2029", "Divide both sides by -4: x = -2029/4"], "final_answer": "-2029/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 708) = 7x - 95", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 708, \"c\": 7, \"d\": 95}", "seed": "6128651272609181296", "semantic_fingerprint": "sha256:1725cb120ec8126615c9dbcdfaf685393a54a8fd9be79176fef66e893eff08e1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000900", "prompt": "Evaluate: -382 * 32 / (9 + 424 - (0 + 529))", "solution_steps": ["Multiply: -382 * 32 = -12224", "Add: 9 + 424 = 433", "Add: 0 + 529 = 529", "Subtract: 433 - 529 = -96", "Divide: -12224 / (-96) = 382/3"], "final_answer": "382/3", "answer_type": "rational", "kind": "expression", "math_text": "-382 * 32 / (9 + 424 - (0 + 529))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (- (+ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -382, \"b\": 32, \"c\": 9, \"d\": 424, \"e\": 0, \"f\": 529}", "seed": "8769432331541086230", "semantic_fingerprint": "sha256:1c3f8018ee1a4915bed6d6c7a9ff6f64d8de9ae4c8aa806544abf9fa4a26088d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000901", "prompt": "Compute: (23 + (-164)) / (166 / (-4))", "solution_steps": ["Add: 23 + (-164) = -141", "Divide: 166 / (-4) = -83/2", "Divide: -141 / (-83/2) = 282/83"], "final_answer": "282/83", "answer_type": "rational", "kind": "expression", "math_text": "(23 + (-164)) / (166 / (-4))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -164, \"c\": 166, \"d\": -4}", "seed": "12031693519771244004", "semantic_fingerprint": "sha256:25fdd64891939da46c29e7bd422bb5f16037d5bac48ee5f3247860f158121fad", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000902", "prompt": "Compute: 2 - 189 - 5 * (-583 * (-94))", "solution_steps": ["Subtract: 2 - 189 = -187", "Multiply: -583 * (-94) = 54802", "Multiply: 5 * 54802 = 274010", "Subtract: -187 - 274010 = -274197"], "final_answer": "-274197", "answer_type": "integer", "kind": "expression", "math_text": "2 - 189 - 5 * (-583 * (-94))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 189, \"c\": 5, \"d\": -583, \"e\": -94}", "seed": "13981169698491886191", "semantic_fingerprint": "sha256:f8f206858bec69ab1d4dd21f0283a53a62e03e39235279e01231171ae839ea3d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000903", "prompt": "Find x: x - 6 = 4(x - 59) + 212", "solution_steps": ["Expand: x - 6 = 4x - 236 + 212", "Combine constants: x - 6 = 4x - 24", "Subtract 4x from both sides: -3x - 6 = -24", "Add 6 to both sides: -3x = -18", "Divide both sides by -3: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6 = 4(x - 59) + 212", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 4, \"c\": 59, \"e\": 212, \"x\": 6}", "seed": "16359121566124285822", "semantic_fingerprint": "sha256:07112fb9019dc9aa455130258730fb8067edd6c41099484f52cde1633a0caea3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000904", "prompt": "What is 269 - (9 + (-225)) + (-6)?", "solution_steps": ["Add: 9 + (-225) = -216", "Subtract: 269 - (-216) = 485", "Add: 485 + (-6) = 479"], "final_answer": "479", "answer_type": "integer", "kind": "expression", "math_text": "269 - (9 + (-225)) + (-6)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 269, \"b\": 9, \"c\": -225, \"d\": -6}", "seed": "16948657316156597155", "semantic_fingerprint": "sha256:6598b109e4756412ddb9e7faa34c61d5f6295115e83c69fd0770440e0ec131e1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000905", "prompt": "Solve for x: 2(x - 28) + 192 = -10(x - 28)", "solution_steps": ["Expand: 2x - 56 + 192 = -10(x - 28)", "Expand: 2x - 56 + 192 = -10x + 280", "Combine constants: 2x + 136 = -10x + 280", "Add 10x to both sides: 12x + 136 = 280", "Subtract 136 from both sides: 12x = 144", "Divide both sides by 12: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 28) + 192 = -10(x - 28)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 28, \"c\": -10, \"d\": 28, \"f\": 192, \"x\": 12}", "seed": "3630443174613879000", "semantic_fingerprint": "sha256:3b9af5c25c3c442852ab42cc47949d1f3628adcf866a9c916151a8239ecca91a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000906", "prompt": "What value of x satisfies x - 299 = 12(x - 21) + 67?", "solution_steps": ["Expand: x - 299 = 12x - 252 + 67", "Combine constants: x - 299 = 12x - 185", "Subtract 12x from both sides: -11x - 299 = -185", "Add 299 to both sides: -11x = 114", "Divide both sides by -11: x = -114/11"], "final_answer": "-114/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 299 = 12(x - 21) + 67", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 299, \"b\": 12, \"c\": 21, \"d\": 67}", "seed": "12370166295863955628", "semantic_fingerprint": "sha256:e342ff301538ceb04dd9f0caab9477805e653e412a1a5fceb9405a354d9cd83d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000907", "prompt": "Find x: -12(x - 11) - 34 = -3(x - 88) - 4", "solution_steps": ["Expand: -12x + 132 - 34 = -3(x - 88) - 4", "Expand: -12x + 132 - 34 = -3x + 264 - 4", "Combine constants: -12x + 98 = -3x + 264 - 4", "Combine constants: -12x + 98 = -3x + 260", "Add 3x to both sides: -9x + 98 = 260", "Subtract 98 from both sides: -9x = 162", "Divide both sides by -9: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 11) - 34 = -3(x - 88) - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 11, \"c\": 34, \"d\": -3, \"e\": 88, \"g\": -4, \"x\": -18}", "seed": "8623406755478630654", "semantic_fingerprint": "sha256:48b5e524a0d63f479f5205dd7281881bb5eed1f3556443f0fdac6331e5f22222", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000908", "prompt": "What is (70 - (-62)) * (-52 / 52)?", "solution_steps": ["Subtract: 70 - (-62) = 132", "Divide: -52 / 52 = -1", "Multiply: 132 * (-1) = -132"], "final_answer": "-132", "answer_type": "integer", "kind": "expression", "math_text": "(70 - (-62)) * (-52 / 52)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -62, \"c\": -52, \"d\": 52}", "seed": "11075522939786352407", "semantic_fingerprint": "sha256:68cf80c05873743f0e83e13b9045e0032d220e15a77e63c6539b5bc891f64f7f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000909", "prompt": "Solve for x: 12(x - 634) - 68 = -11(x - 806) - 9", "solution_steps": ["Expand: 12x - 7608 - 68 = -11(x - 806) - 9", "Expand: 12x - 7608 - 68 = -11x + 8866 - 9", "Combine constants: 12x - 7676 = -11x + 8866 - 9", "Combine constants: 12x - 7676 = -11x + 8857", "Add 11x to both sides: 23x - 7676 = 8857", "Add 7676 to both sides: 23x = 16533", "Divide both sides by 23: x = 16533/23"], "final_answer": "16533/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 634) - 68 = -11(x - 806) - 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 634, \"c\": 68, \"d\": -11, \"e\": 806, \"f\": 9}", "seed": "1232516936001673265", "semantic_fingerprint": "sha256:085af3e0831a788b2c572378bc22e0851a8b56ee1663ac20066c3cc331eec2f6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000910", "prompt": "Solve for x: -11(x - 27) + 19 = 4(x + 4) - 1", "solution_steps": ["Expand: -11x + 297 + 19 = 4(x + 4) - 1", "Expand: -11x + 297 + 19 = 4x + 16 - 1", "Combine constants: -11x + 316 = 4x + 16 - 1", "Combine constants: -11x + 316 = 4x + 15", "Subtract 4x from both sides: -15x + 316 = 15", "Subtract 316 from both sides: -15x = -301", "Divide both sides by -15: x = 301/15"], "final_answer": "301/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 27) + 19 = 4(x + 4) - 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 27, \"c\": 19, \"d\": 4, \"e\": 4, \"f\": 1}", "seed": "8337359568290081122", "semantic_fingerprint": "sha256:1f7b1392f3ca3ebf06f180e9d714c725a83c960a05ac6ed3cd554ed82be60548", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000911", "prompt": "What is (-3 + (-74)) * 6 * (-27 - (-497 - 2))?", "solution_steps": ["Add: -3 + (-74) = -77", "Multiply: -77 * 6 = -462", "Subtract: -497 - 2 = -499", "Subtract: -27 - (-499) = 472", "Multiply: -462 * 472 = -218064"], "final_answer": "-218064", "answer_type": "integer", "kind": "expression", "math_text": "(-3 + (-74)) * 6 * (-27 - (-497 - 2))", "variable": null, "family": "expression_5op", "shape": "(* (* (+ n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -74, \"c\": 6, \"d\": -27, \"e\": -497, \"f\": 2}", "seed": "15899538799038486084", "semantic_fingerprint": "sha256:725f890d2cf0a0cbaeedaaaa2939caf9e441f4e0e184949e01e247a3e4331a41", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000912", "prompt": "Calculate: -8 / ((90 + (-10)) / (-367)) / (-6)", "solution_steps": ["Add: 90 + (-10) = 80", "Divide: 80 / (-367) = -80/367", "Divide: -8 / (-80/367) = 367/10", "Divide: (367/10) / (-6) = -367/60"], "final_answer": "-367/60", "answer_type": "rational", "kind": "expression", "math_text": "-8 / ((90 + (-10)) / (-367)) / (-6)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (/ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 90, \"c\": -10, \"d\": -367, \"e\": -6}", "seed": "3415616097524019515", "semantic_fingerprint": "sha256:7a49f7a11f571a48ee9774aafd09f5d4cf02bf83fe79e5793c34270ebd76e203", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000913", "prompt": "Solve the equation 7(x - 1) - 984 = -7(x - 194) for x.", "solution_steps": ["Expand: 7x - 7 - 984 = -7(x - 194)", "Expand: 7x - 7 - 984 = -7x + 1358", "Combine constants: 7x - 991 = -7x + 1358", "Add 7x to both sides: 14x - 991 = 1358", "Add 991 to both sides: 14x = 2349", "Divide both sides by 14: x = 2349/14"], "final_answer": "2349/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 1) - 984 = -7(x - 194)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 1, \"c\": 984, \"d\": -7, \"e\": 194}", "seed": "13184341107848679029", "semantic_fingerprint": "sha256:39ac5a2f30b8dd8e69d80e2069582f60f9cd6c992613491b73547ebd656fbb3a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000914", "prompt": "What value of x satisfies 3(x - 62) + 1 = 5(x + 20) - 321?", "solution_steps": ["Expand: 3x - 186 + 1 = 5(x + 20) - 321", "Expand: 3x - 186 + 1 = 5x + 100 - 321", "Combine constants: 3x - 185 = 5x + 100 - 321", "Combine constants: 3x - 185 = 5x - 221", "Subtract 5x from both sides: -2x - 185 = -221", "Add 185 to both sides: -2x = -36", "Divide both sides by -2: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 62) + 1 = 5(x + 20) - 321", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 62, \"c\": 1, \"d\": 5, \"e\": 20, \"g\": -321, \"x\": 18}", "seed": "12460818382406657826", "semantic_fingerprint": "sha256:3d95e6fafb52dec5cc68508c496f6869b00a1b047fb1a7339bc9ffbd918aa5b4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000915", "prompt": "Solve for x: 2(x - 45) + 9 = 10(x - 5)", "solution_steps": ["Expand: 2x - 90 + 9 = 10(x - 5)", "Expand: 2x - 90 + 9 = 10x - 50", "Combine constants: 2x - 81 = 10x - 50", "Subtract 10x from both sides: -8x - 81 = -50", "Add 81 to both sides: -8x = 31", "Divide both sides by -8: x = -31/8"], "final_answer": "-31/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 45) + 9 = 10(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 45, \"c\": 9, \"d\": 10, \"e\": 5}", "seed": "18306061462881225950", "semantic_fingerprint": "sha256:f1ab75ab98f1588abac3971b54f5a61a06df14c3a457318806bb950fbdb89313", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000916", "prompt": "What value of x satisfies 9(x - 7) = 12x - 36?", "solution_steps": ["Expand: 9x - 63 = 12x - 36", "Subtract 12x from both sides: -3x - 63 = -36", "Add 63 to both sides: -3x = 27", "Divide both sides by -3: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 7) = 12x - 36", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 12, \"d\": 36}", "seed": "2466649479032211791", "semantic_fingerprint": "sha256:717d13bca2b70e9a922b2d722533c5946cb2caf945d65133db2af414af2f529b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000917", "prompt": "What value of x satisfies -12(x + 23) - 446 = x - 488?", "solution_steps": ["Expand: -12x - 276 - 446 = x - 488", "Combine constants: -12x - 722 = x - 488", "Subtract x from both sides: -13x - 722 = -488", "Add 722 to both sides: -13x = 234", "Divide both sides by -13: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 23) - 446 = x - 488", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 23, \"c\": 446, \"e\": -488, \"x\": -18}", "seed": "11713509564103814371", "semantic_fingerprint": "sha256:9aef0a4b93ef5988d3d2f75cfc6ae9c3afebee1e1b5660a37cc18f5c33215ae7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000918", "prompt": "Compute: 75 - 97 * (-8 / 8) * (-48 / (-72))", "solution_steps": ["Divide: -8 / 8 = -1", "Multiply: 97 * (-1) = -97", "Divide: -48 / (-72) = 2/3", "Multiply: -97 * (2/3) = -194/3", "Subtract: 75 - (-194/3) = 419/3"], "final_answer": "419/3", "answer_type": "rational", "kind": "expression", "math_text": "75 - 97 * (-8 / 8) * (-48 / (-72))", "variable": null, "family": "expression_5op", "shape": "(- n (* (* n (/ n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 97, \"c\": -8, \"d\": 8, \"e\": -48, \"f\": -72}", "seed": "9741616859140761845", "semantic_fingerprint": "sha256:173fe8b2d24b692dcefa6af81f920b4c91c2e8dcc17e3e4ff64d96a61c869758", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000919", "prompt": "Compute: 7 / (-14) - (-372) * (701 - 5)", "solution_steps": ["Divide: 7 / (-14) = -1/2", "Subtract: 701 - 5 = 696", "Multiply: -372 * 696 = -258912", "Subtract: -1/2 - (-258912) = 517823/2"], "final_answer": "517823/2", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-14) - (-372) * (701 - 5)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -14, \"c\": -372, \"d\": 701, \"e\": 5}", "seed": "7817897042762442075", "semantic_fingerprint": "sha256:3d0b1a658cdb9d2454786320df4060fea5680cee7fbddbfe19452ae749d57ffd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000920", "prompt": "Evaluate: (644 / (-3) + (-53)) / (38 + 70)", "solution_steps": ["Divide: 644 / (-3) = -644/3", "Add: -644/3 + (-53) = -803/3", "Add: 38 + 70 = 108", "Divide: (-803/3) / 108 = -803/324"], "final_answer": "-803/324", "answer_type": "rational", "kind": "expression", "math_text": "(644 / (-3) + (-53)) / (38 + 70)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 644, \"b\": -3, \"c\": -53, \"d\": 38, \"e\": 70}", "seed": "5014911201611637700", "semantic_fingerprint": "sha256:2942573aeae41eec546978508f1e6359e59e9708ec911961ed25985447c453f5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000921", "prompt": "Solve the equation x - 83 = 2(x - 97) + 95 for x.", "solution_steps": ["Expand: x - 83 = 2x - 194 + 95", "Combine constants: x - 83 = 2x - 99", "Subtract 2x from both sides: -x - 83 = -99", "Add 83 to both sides: -x = -16", "Divide both sides by -1: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 83 = 2(x - 97) + 95", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 2, \"c\": 97, \"e\": 95, \"x\": 16}", "seed": "7651826400399283423", "semantic_fingerprint": "sha256:cee9ec670e5ad32ed3625fdee5df624ea46362d8fdd54383f6b0786943fabc82", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000922", "prompt": "What value of x satisfies 5(x - 4) = 12x - 248?", "solution_steps": ["Expand: 5x - 20 = 12x - 248", "Subtract 12x from both sides: -7x - 20 = -248", "Add 20 to both sides: -7x = -228", "Divide both sides by -7: x = 228/7"], "final_answer": "228/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 4) = 12x - 248", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 12, \"d\": 248}", "seed": "1483445616876564784", "semantic_fingerprint": "sha256:bbdce1b81ff6aa7d523a217d7c37f07e13c94fc9e36d37c47cac069f4a553ba9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000923", "prompt": "What is 19 - (-70) / (28 * (-7))?", "solution_steps": ["Multiply: 28 * (-7) = -196", "Divide: -70 / (-196) = 5/14", "Subtract: 19 - 5/14 = 261/14"], "final_answer": "261/14", "answer_type": "rational", "kind": "expression", "math_text": "19 - (-70) / (28 * (-7))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": -70, \"c\": 28, \"d\": -7}", "seed": "15130829070924273821", "semantic_fingerprint": "sha256:1a4ef39b74fd09c9efc004ec4a466a91a5df363c50947f62d2676d9794d9723b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000924", "prompt": "What is -553 + (-349 - 6 / (-23) - (-37 - 21))?", "solution_steps": ["Divide: 6 / (-23) = -6/23", "Subtract: -349 - (-6/23) = -8021/23", "Subtract: -37 - 21 = -58", "Subtract: -8021/23 - (-58) = -6687/23", "Add: -553 + (-6687/23) = -19406/23"], "final_answer": "-19406/23", "answer_type": "rational", "kind": "expression", "math_text": "-553 + (-349 - 6 / (-23) - (-37 - 21))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (- n (/ n n)) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -553, \"b\": -349, \"c\": 6, \"d\": -23, \"e\": -37, \"f\": 21}", "seed": "6890315392637225164", "semantic_fingerprint": "sha256:d50ddd6a83e9a3e22d80b808e34704bb33cca2e2cae05c3056422457439813ca", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000925", "prompt": "Calculate: (0 - (-28 - (-888)) / (-6)) / 32", "solution_steps": ["Subtract: -28 - (-888) = 860", "Divide: 860 / (-6) = -430/3", "Subtract: 0 - (-430/3) = 430/3", "Divide: (430/3) / 32 = 215/48"], "final_answer": "215/48", "answer_type": "rational", "kind": "expression", "math_text": "(0 - (-28 - (-888)) / (-6)) / 32", "variable": null, "family": "expression_4op", "shape": "(/ (- n (/ (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -28, \"c\": -888, \"d\": -6, \"e\": 32}", "seed": "12849560134685596364", "semantic_fingerprint": "sha256:5c14410b8348268504238924bad78ab4611227ec6e63ae8c425f98862d31d228", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000926", "prompt": "Evaluate: (8 + (-524) - 0) * (242 + (-19))", "solution_steps": ["Add: 8 + (-524) = -516", "Subtract: -516 - 0 = -516", "Add: 242 + (-19) = 223", "Multiply: -516 * 223 = -115068"], "final_answer": "-115068", "answer_type": "integer", "kind": "expression", "math_text": "(8 + (-524) - 0) * (242 + (-19))", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -524, \"c\": 0, \"d\": 242, \"e\": -19}", "seed": "12267304664409953387", "semantic_fingerprint": "sha256:32052c5bf7b22e6f148c7fad806cd9fe4e6a8510d2be6369ea6447810227d661", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000927", "prompt": "Calculate: -184 + 124 - (2 + (-58))", "solution_steps": ["Add: -184 + 124 = -60", "Add: 2 + (-58) = -56", "Subtract: -60 - (-56) = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "-184 + 124 - (2 + (-58))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -184, \"b\": 124, \"c\": 2, \"d\": -58}", "seed": "15497200690695751712", "semantic_fingerprint": "sha256:d488a218d4f554834fcd769fb89e43d2d83b7e250c47936fdd33f6ae7f1ef7dc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000928", "prompt": "Compute: -880 - 783 * (-61) - 401", "solution_steps": ["Multiply: 783 * (-61) = -47763", "Subtract: -880 - (-47763) = 46883", "Subtract: 46883 - 401 = 46482"], "final_answer": "46482", "answer_type": "integer", "kind": "expression", "math_text": "-880 - 783 * (-61) - 401", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -880, \"b\": 783, \"c\": -61, \"d\": 401}", "seed": "16060663285494370222", "semantic_fingerprint": "sha256:a688cc324c34cdad884d3bb848af196844797d35daa3d7960bd12a37afd6c0b4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000929", "prompt": "Compute: 181 / (-32 * (-25) / 3)", "solution_steps": ["Multiply: -32 * (-25) = 800", "Divide: 800 / 3 = 800/3", "Divide: 181 / (800/3) = 543/800"], "final_answer": "543/800", "answer_type": "rational", "kind": "expression", "math_text": "181 / (-32 * (-25) / 3)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 181, \"b\": -32, \"c\": -25, \"d\": 3}", "seed": "13961936843836913774", "semantic_fingerprint": "sha256:b5971f886447f89a1013dd8968b8716544f4b84e5d74d9d3d3e0adf37e01a7ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000930", "prompt": "Evaluate: 3 + (-79) / (0 - 7)", "solution_steps": ["Subtract: 0 - 7 = -7", "Divide: -79 / (-7) = 79/7", "Add: 3 + 79/7 = 100/7"], "final_answer": "100/7", "answer_type": "rational", "kind": "expression", "math_text": "3 + (-79) / (0 - 7)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -79, \"c\": 0, \"d\": 7}", "seed": "3995967219403414090", "semantic_fingerprint": "sha256:a6de920e6e75962605c3bd6753689f5cf159db146c79b36faa67b13b7ce947cf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000931", "prompt": "Evaluate: (373 - (-4) * 39) / (-94 + (-57) * (-54))", "solution_steps": ["Multiply: -4 * 39 = -156", "Subtract: 373 - (-156) = 529", "Multiply: -57 * (-54) = 3078", "Add: -94 + 3078 = 2984", "Divide: 529 / 2984 = 529/2984"], "final_answer": "529/2984", "answer_type": "rational", "kind": "expression", "math_text": "(373 - (-4) * 39) / (-94 + (-57) * (-54))", "variable": null, "family": "expression_5op", "shape": "(/ (- n (* n n)) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 373, \"b\": -4, \"c\": 39, \"d\": -94, \"e\": -57, \"f\": -54}", "seed": "9629952868192342556", "semantic_fingerprint": "sha256:c00c372bde558946533a43bfdef14726afb4c487afd968034642fe8ffacfef9b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000932", "prompt": "Calculate: 756 / (88 - (-384) - (-8))", "solution_steps": ["Subtract: 88 - (-384) = 472", "Subtract: 472 - (-8) = 480", "Divide: 756 / 480 = 63/40"], "final_answer": "63/40", "answer_type": "rational", "kind": "expression", "math_text": "756 / (88 - (-384) - (-8))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 756, \"b\": 88, \"c\": -384, \"d\": -8}", "seed": "17222516920020045118", "semantic_fingerprint": "sha256:d643aece79d06c51f279584a08f6b6dcf65d593f7a37d93d2924304ccb07777d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000933", "prompt": "Solve the equation -10x - 60 = -5(x + 1) + 20 for x.", "solution_steps": ["Expand: -10x - 60 = -5x - 5 + 20", "Combine constants: -10x - 60 = -5x + 15", "Add 5x to both sides: -5x - 60 = 15", "Add 60 to both sides: -5x = 75", "Divide both sides by -5: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x - 60 = -5(x + 1) + 20", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 60, \"c\": -5, \"d\": 1, \"f\": 20, \"x\": -15}", "seed": "14664260856096652969", "semantic_fingerprint": "sha256:410a686313e24671a274d0a0c8e1fdbc345b08720f65642a1a5d73261d510b60", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000934", "prompt": "Evaluate: -5 + (-32 + 74 * (94 + 51))", "solution_steps": ["Add: 94 + 51 = 145", "Multiply: 74 * 145 = 10730", "Add: -32 + 10730 = 10698", "Add: -5 + 10698 = 10693"], "final_answer": "10693", "answer_type": "integer", "kind": "expression", "math_text": "-5 + (-32 + 74 * (94 + 51))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (* n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -32, \"c\": 74, \"d\": 94, \"e\": 51}", "seed": "3830019177808371843", "semantic_fingerprint": "sha256:871df654ec6df908e0d44c1bd5176042d0a76b4a71c2d381eddeb00696866a6b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000935", "prompt": "What is 4 / ((-8 - (7 - 39) / (-7)) / 10)?", "solution_steps": ["Subtract: 7 - 39 = -32", "Divide: -32 / (-7) = 32/7", "Subtract: -8 - 32/7 = -88/7", "Divide: (-88/7) / 10 = -44/35", "Divide: 4 / (-44/35) = -35/11"], "final_answer": "-35/11", "answer_type": "rational", "kind": "expression", "math_text": "4 / ((-8 - (7 - 39) / (-7)) / 10)", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (- n (/ (- n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -8, \"c\": 7, \"d\": 39, \"e\": -7, \"f\": 10}", "seed": "7238531238693671345", "semantic_fingerprint": "sha256:66597baf933f72c0d691516d5838daa6e3001ab2c58fd79ff50eff1b065faaa6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000936", "prompt": "Find x: -12(x - 138) - 904 = -11(x - 71) - 42", "solution_steps": ["Expand: -12x + 1656 - 904 = -11(x - 71) - 42", "Expand: -12x + 1656 - 904 = -11x + 781 - 42", "Combine constants: -12x + 752 = -11x + 781 - 42", "Combine constants: -12x + 752 = -11x + 739", "Add 11x to both sides: -x + 752 = 739", "Subtract 752 from both sides: -x = -13", "Divide both sides by -1: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 138) - 904 = -11(x - 71) - 42", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 138, \"c\": 904, \"d\": -11, \"e\": 71, \"f\": 42}", "seed": "16245657116004494195", "semantic_fingerprint": "sha256:8d652ce666a1f91875caef8f646d4bbcb9b77bd74d46573a227135f42406be32", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000937", "prompt": "Evaluate: 6 / (-476 - (-802) - 952)", "solution_steps": ["Subtract: -476 - (-802) = 326", "Subtract: 326 - 952 = -626", "Divide: 6 / (-626) = -3/313"], "final_answer": "-3/313", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-476 - (-802) - 952)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -476, \"c\": -802, \"d\": 952}", "seed": "4299350494002682533", "semantic_fingerprint": "sha256:dd0417e740bb189e36c10b6fe1d08645857ad064f86cf68ede079be4f3b526f9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000938", "prompt": "Solve the equation 4(x - 52) + 5 = 9(x + 2) - 141 for x.", "solution_steps": ["Expand: 4x - 208 + 5 = 9(x + 2) - 141", "Expand: 4x - 208 + 5 = 9x + 18 - 141", "Combine constants: 4x - 203 = 9x + 18 - 141", "Combine constants: 4x - 203 = 9x - 123", "Subtract 9x from both sides: -5x - 203 = -123", "Add 203 to both sides: -5x = 80", "Divide both sides by -5: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 52) + 5 = 9(x + 2) - 141", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 52, \"c\": 5, \"d\": 9, \"e\": 2, \"g\": -141, \"x\": -16}", "seed": "4445958331086667169", "semantic_fingerprint": "sha256:ade7ef4741c4a8694685513fc114a963de0ef305718cb4b8cafd470c0b0200cc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000939", "prompt": "Solve the equation 3(x - 95) = -5x - 269 for x.", "solution_steps": ["Expand: 3x - 285 = -5x - 269", "Add 5x to both sides: 8x - 285 = -269", "Add 285 to both sides: 8x = 16", "Divide both sides by 8: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 95) = -5x - 269", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 95, \"c\": -5, \"e\": -269, \"x\": 2}", "seed": "14107974934969548033", "semantic_fingerprint": "sha256:aba74725110c1c1eb0445e1649dc3e3065fa1b912976bc10583f5f6ec818f37d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000940", "prompt": "Evaluate: (65 + 9 * 499) / (9 * 88)", "solution_steps": ["Multiply: 9 * 499 = 4491", "Add: 65 + 4491 = 4556", "Multiply: 9 * 88 = 792", "Divide: 4556 / 792 = 1139/198"], "final_answer": "1139/198", "answer_type": "rational", "kind": "expression", "math_text": "(65 + 9 * 499) / (9 * 88)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 9, \"c\": 499, \"d\": 9, \"e\": 88}", "seed": "8929684132573475954", "semantic_fingerprint": "sha256:71f7eb0a4b3d8705aeee8b79ff3379c9cb57d4c99be922825dc2e85510734aeb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000941", "prompt": "Compute: (-28 - 98) * (8 / 16)", "solution_steps": ["Subtract: -28 - 98 = -126", "Divide: 8 / 16 = 1/2", "Multiply: -126 * (1/2) = -63"], "final_answer": "-63", "answer_type": "integer", "kind": "expression", "math_text": "(-28 - 98) * (8 / 16)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": 98, \"c\": 8, \"d\": 16}", "seed": "5760392290848388654", "semantic_fingerprint": "sha256:6a7e10dfa38785fe7c09f44993134bc15dce393f924c23b99842f27a0ba6876a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000942", "prompt": "Find x: -12(x - 20) = 10x - 156", "solution_steps": ["Expand: -12x + 240 = 10x - 156", "Subtract 10x from both sides: -22x + 240 = -156", "Subtract 240 from both sides: -22x = -396", "Divide both sides by -22: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 20) = 10x - 156", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 20, \"c\": 10, \"e\": -156, \"x\": 18}", "seed": "18230444644136616607", "semantic_fingerprint": "sha256:4b0c5885d14c8c46826326f0ac32619eba62f60823304f7423a121ea120b8b13", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000943", "prompt": "What is -36 + (717 * (-7) - 5)?", "solution_steps": ["Multiply: 717 * (-7) = -5019", "Subtract: -5019 - 5 = -5024", "Add: -36 + (-5024) = -5060"], "final_answer": "-5060", "answer_type": "integer", "kind": "expression", "math_text": "-36 + (717 * (-7) - 5)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": 717, \"c\": -7, \"d\": 5}", "seed": "10606670489119913729", "semantic_fingerprint": "sha256:c9473f01df00a515f3432a849af92a161a6163b27407a30ee730a1b799a20dc9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000944", "prompt": "Solve for x: 10x - 50 = -10(x + 2) + 90", "solution_steps": ["Expand: 10x - 50 = -10x - 20 + 90", "Combine constants: 10x - 50 = -10x + 70", "Add 10x to both sides: 20x - 50 = 70", "Add 50 to both sides: 20x = 120", "Divide both sides by 20: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 50 = -10(x + 2) + 90", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 50, \"c\": -10, \"d\": 2, \"f\": 90, \"x\": 6}", "seed": "9517199012248432541", "semantic_fingerprint": "sha256:38872188150dcaf95193fd036294dffc86dfd80d77e62222b230be26fdecad36", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000945", "prompt": "Evaluate: 69 + 5 / 1 / 802", "solution_steps": ["Divide: 5 / 1 = 5", "Divide: 5 / 802 = 5/802", "Add: 69 + 5/802 = 55343/802"], "final_answer": "55343/802", "answer_type": "rational", "kind": "expression", "math_text": "69 + 5 / 1 / 802", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 5, \"c\": 1, \"d\": 802}", "seed": "7737632261804826518", "semantic_fingerprint": "sha256:fc528aa351805850a2b7ca229d7731300629fadb970f19d329894b9f80a1c9d8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000946", "prompt": "Find x: -3(x + 64) - 1 = x - 2", "solution_steps": ["Expand: -3x - 192 - 1 = x - 2", "Combine constants: -3x - 193 = x - 2", "Subtract x from both sides: -4x - 193 = -2", "Add 193 to both sides: -4x = 191", "Divide both sides by -4: x = -191/4"], "final_answer": "-191/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x + 64) - 1 = x - 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 64, \"c\": 1, \"d\": 2}", "seed": "10812073822336455461", "semantic_fingerprint": "sha256:69c0b896f973548af879237a52cc84d4bc5f5bc3a66472054e3b3af0b522ad28", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000947", "prompt": "What is 72 - (-128 + 0) + (-5)?", "solution_steps": ["Add: -128 + 0 = -128", "Subtract: 72 - (-128) = 200", "Add: 200 + (-5) = 195"], "final_answer": "195", "answer_type": "integer", "kind": "expression", "math_text": "72 - (-128 + 0) + (-5)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": -128, \"c\": 0, \"d\": -5}", "seed": "14379615523584754877", "semantic_fingerprint": "sha256:ad9b3198bf37e75e6d1952f51f7c8f081155fa6feea1e2cc18ea2bf39526dc16", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000948", "prompt": "Evaluate: 6 / (-809) - (1 * 7 + (-78 + 1))", "solution_steps": ["Divide: 6 / (-809) = -6/809", "Multiply: 1 * 7 = 7", "Add: -78 + 1 = -77", "Add: 7 + (-77) = -70", "Subtract: -6/809 - (-70) = 56624/809"], "final_answer": "56624/809", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-809) - (1 * 7 + (-78 + 1))", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (+ (* n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -809, \"c\": 1, \"d\": 7, \"e\": -78, \"f\": 1}", "seed": "1604026255274417795", "semantic_fingerprint": "sha256:1407adeedf29920f6151c76f3b854e98d597274b077621ae41a2bda65503b0e8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000949", "prompt": "Evaluate: 73 + 11 - 50 / 21 - (-54 - 40)", "solution_steps": ["Add: 73 + 11 = 84", "Divide: 50 / 21 = 50/21", "Subtract: 84 - 50/21 = 1714/21", "Subtract: -54 - 40 = -94", "Subtract: 1714/21 - (-94) = 3688/21"], "final_answer": "3688/21", "answer_type": "rational", "kind": "expression", "math_text": "73 + 11 - 50 / 21 - (-54 - 40)", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n n) (/ n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 11, \"c\": 50, \"d\": 21, \"e\": -54, \"f\": 40}", "seed": "8512218008027849346", "semantic_fingerprint": "sha256:fe23f89fe3361ec77bb883f0ac60744e959d50f044c68f6a29a1d44a6a1e18a1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000950", "prompt": "Calculate: -650 - (-14) / (1 / 415)", "solution_steps": ["Divide: 1 / 415 = 1/415", "Divide: -14 / (1/415) = -5810", "Subtract: -650 - (-5810) = 5160"], "final_answer": "5160", "answer_type": "integer", "kind": "expression", "math_text": "-650 - (-14) / (1 / 415)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -650, \"b\": -14, \"c\": 1, \"d\": 415}", "seed": "8948403652737467087", "semantic_fingerprint": "sha256:ebd7d1f791981c101f243ae05898728467d04847912eb8413de939ee686cc853", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000951", "prompt": "Solve for x: -9(x + 125) + 4 = 3(x + 2) - 947", "solution_steps": ["Expand: -9x - 1125 + 4 = 3(x + 2) - 947", "Expand: -9x - 1125 + 4 = 3x + 6 - 947", "Combine constants: -9x - 1121 = 3x + 6 - 947", "Combine constants: -9x - 1121 = 3x - 941", "Subtract 3x from both sides: -12x - 1121 = -941", "Add 1121 to both sides: -12x = 180", "Divide both sides by -12: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 125) + 4 = 3(x + 2) - 947", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 125, \"c\": 4, \"d\": 3, \"e\": 2, \"g\": -947, \"x\": -15}", "seed": "14661630252106402093", "semantic_fingerprint": "sha256:0b351032361e9b919a162e2978dab66b72d698ce129e987ed8c6e646e38f859d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000952", "prompt": "Find x: -2(x - 156) + 330 = -8(x - 66)", "solution_steps": ["Expand: -2x + 312 + 330 = -8(x - 66)", "Expand: -2x + 312 + 330 = -8x + 528", "Combine constants: -2x + 642 = -8x + 528", "Add 8x to both sides: 6x + 642 = 528", "Subtract 642 from both sides: 6x = -114", "Divide both sides by 6: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 156) + 330 = -8(x - 66)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 156, \"c\": -8, \"d\": 66, \"f\": 330, \"x\": -19}", "seed": "15611488229008857609", "semantic_fingerprint": "sha256:c91e5bbc25e261d86d0468aa4e3054f89d0dd313eb85b5bed736e0385e017dab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000953", "prompt": "Calculate: 6 + (0 / (-502 - (-65)) + 9)", "solution_steps": ["Subtract: -502 - (-65) = -437", "Divide: 0 / (-437) = 0", "Add: 0 + 9 = 9", "Add: 6 + 9 = 15"], "final_answer": "15", "answer_type": "integer", "kind": "expression", "math_text": "6 + (0 / (-502 - (-65)) + 9)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (/ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 0, \"c\": -502, \"d\": -65, \"e\": 9}", "seed": "13983075548257928522", "semantic_fingerprint": "sha256:b307d19bca04ca7f9555d45ba044ea5ca61b3156395a4b11b0367a9f0c593a93", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000954", "prompt": "Calculate: 0 * (-339 - (16 - 8 + (-4))) - 4", "solution_steps": ["Subtract: 16 - 8 = 8", "Add: 8 + (-4) = 4", "Subtract: -339 - 4 = -343", "Multiply: 0 * (-343) = 0", "Subtract: 0 - 4 = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-339 - (16 - 8 + (-4))) - 4", "variable": null, "family": "expression_5op", "shape": "(- (* n (- n (+ (- n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -339, \"c\": 16, \"d\": 8, \"e\": -4, \"f\": 4}", "seed": "10821944320948316076", "semantic_fingerprint": "sha256:9706fe618b34f8e7989496e8cf89167112b029c1bf4203fc38c2ae16bfe9cfcf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000955", "prompt": "What value of x satisfies 7(x - 7) + 4 = -5(x + 16) - 73?", "solution_steps": ["Expand: 7x - 49 + 4 = -5(x + 16) - 73", "Expand: 7x - 49 + 4 = -5x - 80 - 73", "Combine constants: 7x - 45 = -5x - 80 - 73", "Combine constants: 7x - 45 = -5x - 153", "Add 5x to both sides: 12x - 45 = -153", "Add 45 to both sides: 12x = -108", "Divide both sides by 12: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 7) + 4 = -5(x + 16) - 73", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 4, \"d\": -5, \"e\": 16, \"g\": -73, \"x\": -9}", "seed": "7627928859860223944", "semantic_fingerprint": "sha256:fab7716c62a24c6ecaabcba4216b3b9ec5a97c28501f8d3f0ba0e8e0736f57e5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000956", "prompt": "Evaluate: -335 - (44 * 4 - (-1) / 67) - 1", "solution_steps": ["Multiply: 44 * 4 = 176", "Divide: -1 / 67 = -1/67", "Subtract: 176 - (-1/67) = 11793/67", "Subtract: -335 - 11793/67 = -34238/67", "Subtract: -34238/67 - 1 = -34305/67"], "final_answer": "-34305/67", "answer_type": "rational", "kind": "expression", "math_text": "-335 - (44 * 4 - (-1) / 67) - 1", "variable": null, "family": "expression_5op", "shape": "(- (- n (- (* n n) (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -335, \"b\": 44, \"c\": 4, \"d\": -1, \"e\": 67, \"f\": 1}", "seed": "1458400584506323161", "semantic_fingerprint": "sha256:ab58b446041daff9e2257ad4ca2729d17921b526163daa5f30424e9d167b334f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000957", "prompt": "Solve for x: x - 97 = 9(x - 12) + 123", "solution_steps": ["Expand: x - 97 = 9x - 108 + 123", "Combine constants: x - 97 = 9x + 15", "Subtract 9x from both sides: -8x - 97 = 15", "Add 97 to both sides: -8x = 112", "Divide both sides by -8: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 97 = 9(x - 12) + 123", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": 9, \"c\": 12, \"e\": 123, \"x\": -14}", "seed": "4057797677486050697", "semantic_fingerprint": "sha256:ccdad6f0a5ffe30c3beb19d0def90b36cec03ff7258797e58d73ce57d58d9ccf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000958", "prompt": "What value of x satisfies 11(x + 8) - 35 = x - 97?", "solution_steps": ["Expand: 11x + 88 - 35 = x - 97", "Combine constants: 11x + 53 = x - 97", "Subtract x from both sides: 10x + 53 = -97", "Subtract 53 from both sides: 10x = -150", "Divide both sides by 10: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 8) - 35 = x - 97", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"c\": 35, \"e\": -97, \"x\": -15}", "seed": "11421489214968835039", "semantic_fingerprint": "sha256:ef18aaa34abb5bbeb24c900111cd25e574b0802d83132a7f462d2c6842205b0d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000959", "prompt": "What value of x satisfies 8(x - 73) + 6 = 9(x + 9) - 456?", "solution_steps": ["Expand: 8x - 584 + 6 = 9(x + 9) - 456", "Expand: 8x - 584 + 6 = 9x + 81 - 456", "Combine constants: 8x - 578 = 9x + 81 - 456", "Combine constants: 8x - 578 = 9x - 375", "Subtract 9x from both sides: -x - 578 = -375", "Add 578 to both sides: -x = 203", "Divide both sides by -1: x = -203"], "final_answer": "-203", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 73) + 6 = 9(x + 9) - 456", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 73, \"c\": 6, \"d\": 9, \"e\": 9, \"f\": 456}", "seed": "16470818342867381973", "semantic_fingerprint": "sha256:d0f56e0c215f7a51692651fb866beda8cae1d098200e09239d854870981a990c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000960", "prompt": "Compute: (-80 + 261 + (-262 - 6)) / (-6 / 79)", "solution_steps": ["Add: -80 + 261 = 181", "Subtract: -262 - 6 = -268", "Add: 181 + (-268) = -87", "Divide: -6 / 79 = -6/79", "Divide: -87 / (-6/79) = 2291/2"], "final_answer": "2291/2", "answer_type": "rational", "kind": "expression", "math_text": "(-80 + 261 + (-262 - 6)) / (-6 / 79)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ n n) (- n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 261, \"c\": -262, \"d\": 6, \"e\": -6, \"f\": 79}", "seed": "16010942291819446307", "semantic_fingerprint": "sha256:ad42ca9fe16fa70470a4bffb38e0fd162279d38f158509e0191a24e704bc2638", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000961", "prompt": "Solve for x: x - 8 = 3(x - 96) + 42", "solution_steps": ["Expand: x - 8 = 3x - 288 + 42", "Combine constants: x - 8 = 3x - 246", "Subtract 3x from both sides: -2x - 8 = -246", "Add 8 to both sides: -2x = -238", "Divide both sides by -2: x = 119"], "final_answer": "119", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8 = 3(x - 96) + 42", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 96, \"d\": 42}", "seed": "11180122998675049649", "semantic_fingerprint": "sha256:674c953a51db851f1492537f55b5596a84d82549237b2196d9d3f0eacf89c95d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000962", "prompt": "Solve the equation 5(x - 8) - 68 = 4(x - 3) for x.", "solution_steps": ["Expand: 5x - 40 - 68 = 4(x - 3)", "Expand: 5x - 40 - 68 = 4x - 12", "Combine constants: 5x - 108 = 4x - 12", "Subtract 4x from both sides: x - 108 = -12", "Add 108 to both sides: x = 96"], "final_answer": "96", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 8) - 68 = 4(x - 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 68, \"d\": 4, \"e\": 3}", "seed": "15866184648218619227", "semantic_fingerprint": "sha256:62937522a2c7c6964daa10b0c84d45513020be4a147711a15240c17053610b79", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000963", "prompt": "Evaluate: -3 * (-62 - (-7) + (-25))", "solution_steps": ["Subtract: -62 - (-7) = -55", "Add: -55 + (-25) = -80", "Multiply: -3 * (-80) = 240"], "final_answer": "240", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (-62 - (-7) + (-25))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -62, \"c\": -7, \"d\": -25}", "seed": "1004781894460871750", "semantic_fingerprint": "sha256:30ac26db6de19b4d1317d9252d5a352ed778e155f93ef8f9e2edadd2470de2fe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000964", "prompt": "Compute: 8 - (-590 * 0 + (-3))", "solution_steps": ["Multiply: -590 * 0 = 0", "Add: 0 + (-3) = -3", "Subtract: 8 - (-3) = 11"], "final_answer": "11", "answer_type": "integer", "kind": "expression", "math_text": "8 - (-590 * 0 + (-3))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -590, \"c\": 0, \"d\": -3}", "seed": "13519543508977200853", "semantic_fingerprint": "sha256:985d1d4243cf2d18aab8fc6e19f67d3fffb5e5b66e254d01067ce39a36eea76d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000965", "prompt": "Calculate: 639 / (-47 - (-9) + (-1))", "solution_steps": ["Subtract: -47 - (-9) = -38", "Add: -38 + (-1) = -39", "Divide: 639 / (-39) = -213/13"], "final_answer": "-213/13", "answer_type": "rational", "kind": "expression", "math_text": "639 / (-47 - (-9) + (-1))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 639, \"b\": -47, \"c\": -9, \"d\": -1}", "seed": "3611571423645539770", "semantic_fingerprint": "sha256:355dba679ecb50d21a87f475b078c509c84628488d8f83bfc75d9311547f168b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000966", "prompt": "What is 70 * (-414) / (40 * ((0 - (-3)) * (-5)))?", "solution_steps": ["Multiply: 70 * (-414) = -28980", "Subtract: 0 - (-3) = 3", "Multiply: 3 * (-5) = -15", "Multiply: 40 * (-15) = -600", "Divide: -28980 / (-600) = 483/10"], "final_answer": "483/10", "answer_type": "rational", "kind": "expression", "math_text": "70 * (-414) / (40 * ((0 - (-3)) * (-5)))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (* n (* (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -414, \"c\": 40, \"d\": 0, \"e\": -3, \"f\": -5}", "seed": "6940837350246196044", "semantic_fingerprint": "sha256:eaccc49e7826c8d605e3c75cb312a6030f33c6c7defe0c4bf118ee4cf67ac7da", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000967", "prompt": "Evaluate: 93 * 920 / (577 + 274) / (-392)", "solution_steps": ["Multiply: 93 * 920 = 85560", "Add: 577 + 274 = 851", "Divide: 85560 / 851 = 3720/37", "Divide: (3720/37) / (-392) = -465/1813"], "final_answer": "-465/1813", "answer_type": "rational", "kind": "expression", "math_text": "93 * 920 / (577 + 274) / (-392)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 920, \"c\": 577, \"d\": 274, \"e\": -392}", "seed": "11977497432262030683", "semantic_fingerprint": "sha256:0eb3a16b1d9c99187a8a5ea44af6f4e0c9c9adb0842897a72ca3d546e34e2401", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000968", "prompt": "Calculate: (-6 - (-51)) * (33 * (-138))", "solution_steps": ["Subtract: -6 - (-51) = 45", "Multiply: 33 * (-138) = -4554", "Multiply: 45 * (-4554) = -204930"], "final_answer": "-204930", "answer_type": "integer", "kind": "expression", "math_text": "(-6 - (-51)) * (33 * (-138))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -51, \"c\": 33, \"d\": -138}", "seed": "12499817818853089834", "semantic_fingerprint": "sha256:0e730362a42eed4ee961bb248d36e5bd88accc604cb1caeb37605076d5e4f3f0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000969", "prompt": "Compute: 586 - (6 + (-365)) - (86 * 2 - (-4))", "solution_steps": ["Add: 6 + (-365) = -359", "Subtract: 586 - (-359) = 945", "Multiply: 86 * 2 = 172", "Subtract: 172 - (-4) = 176", "Subtract: 945 - 176 = 769"], "final_answer": "769", "answer_type": "integer", "kind": "expression", "math_text": "586 - (6 + (-365)) - (86 * 2 - (-4))", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ n n)) (- (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 586, \"b\": 6, \"c\": -365, \"d\": 86, \"e\": 2, \"f\": -4}", "seed": "13935904678895575880", "semantic_fingerprint": "sha256:d2dfd5732a46cb9a6aca38f392421a7cc6dbb8c878d2b11dfd254d1c9c0ca571", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000970", "prompt": "Evaluate: 1 + 835 / 3 / (-56)", "solution_steps": ["Divide: 835 / 3 = 835/3", "Divide: (835/3) / (-56) = -835/168", "Add: 1 + (-835/168) = -667/168"], "final_answer": "-667/168", "answer_type": "rational", "kind": "expression", "math_text": "1 + 835 / 3 / (-56)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 835, \"c\": 3, \"d\": -56}", "seed": "7994167806742933116", "semantic_fingerprint": "sha256:d62cf5b82a584bf3d951f413ddc33b2d72919c200179ca58d961df981e1059eb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000971", "prompt": "Evaluate: -853 + (-249 + 394) + (-27) * (-21)", "solution_steps": ["Add: -249 + 394 = 145", "Add: -853 + 145 = -708", "Multiply: -27 * (-21) = 567", "Add: -708 + 567 = -141"], "final_answer": "-141", "answer_type": "integer", "kind": "expression", "math_text": "-853 + (-249 + 394) + (-27) * (-21)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -853, \"b\": -249, \"c\": 394, \"d\": -27, \"e\": -21}", "seed": "6366184615281546453", "semantic_fingerprint": "sha256:527b6bd609d500a0852048b31b15bfcf0e47d5e76a292e989235d405dc61f2f4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000972", "prompt": "Find x: 2(x + 3) - 9 = x - 6", "solution_steps": ["Expand: 2x + 6 - 9 = x - 6", "Combine constants: 2x - 3 = x - 6", "Subtract x from both sides: x - 3 = -6", "Add 3 to both sides: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 3) - 9 = x - 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 9, \"d\": 6}", "seed": "14898390124541305242", "semantic_fingerprint": "sha256:af57552206ff89c2b0154aa3341751e9b75c6f0280ea9c76cd7451450d7cc8c9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000973", "prompt": "What value of x satisfies 5(x - 6) + 210 = -5(x - 16)?", "solution_steps": ["Expand: 5x - 30 + 210 = -5(x - 16)", "Expand: 5x - 30 + 210 = -5x + 80", "Combine constants: 5x + 180 = -5x + 80", "Add 5x to both sides: 10x + 180 = 80", "Subtract 180 from both sides: 10x = -100", "Divide both sides by 10: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 6) + 210 = -5(x - 16)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": -5, \"d\": 16, \"f\": 210, \"x\": -10}", "seed": "2921600411290888243", "semantic_fingerprint": "sha256:7e0c670bf6bb666687dcda20efd637a8496fd1b7ca9985efc593482edc9e9740", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000974", "prompt": "Evaluate: (552 / 61 + (-9)) * 22", "solution_steps": ["Divide: 552 / 61 = 552/61", "Add: 552/61 + (-9) = 3/61", "Multiply: (3/61) * 22 = 66/61"], "final_answer": "66/61", "answer_type": "rational", "kind": "expression", "math_text": "(552 / 61 + (-9)) * 22", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 552, \"b\": 61, \"c\": -9, \"d\": 22}", "seed": "15324932650299245630", "semantic_fingerprint": "sha256:9f781d73956f292e0ac41902a576a11b38ab3ea2414ae51652344287c5bc5be7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000975", "prompt": "Evaluate: 41 - (9 + (-43)) + (-56)", "solution_steps": ["Add: 9 + (-43) = -34", "Subtract: 41 - (-34) = 75", "Add: 75 + (-56) = 19"], "final_answer": "19", "answer_type": "integer", "kind": "expression", "math_text": "41 - (9 + (-43)) + (-56)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 9, \"c\": -43, \"d\": -56}", "seed": "17407878633969410353", "semantic_fingerprint": "sha256:472154c16dccf210f3d17c9da04ad3526f377b05db356052f2368c0865b6a672", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000976", "prompt": "What is -34 + (-244 + 47) - (-713)?", "solution_steps": ["Add: -244 + 47 = -197", "Add: -34 + (-197) = -231", "Subtract: -231 - (-713) = 482"], "final_answer": "482", "answer_type": "integer", "kind": "expression", "math_text": "-34 + (-244 + 47) - (-713)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": -244, \"c\": 47, \"d\": -713}", "seed": "14071561129441501402", "semantic_fingerprint": "sha256:62a37120052a090c442610b72cc1e7a13f36a384313c8d1f0cd7c4853599a7c1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000977", "prompt": "Compute: -85 / (-6) + 753 * (6 - (-85) - (-6))", "solution_steps": ["Divide: -85 / (-6) = 85/6", "Subtract: 6 - (-85) = 91", "Subtract: 91 - (-6) = 97", "Multiply: 753 * 97 = 73041", "Add: 85/6 + 73041 = 438331/6"], "final_answer": "438331/6", "answer_type": "rational", "kind": "expression", "math_text": "-85 / (-6) + 753 * (6 - (-85) - (-6))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (* n (- (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": -6, \"c\": 753, \"d\": 6, \"e\": -85, \"f\": -6}", "seed": "9470968191857683307", "semantic_fingerprint": "sha256:3cf95f3d74250cae4e35b10ef108620faf77d98ae0ac92a608f97ca6bf6b5757", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000978", "prompt": "Compute: 51 + 319 / (381 - 92)", "solution_steps": ["Subtract: 381 - 92 = 289", "Divide: 319 / 289 = 319/289", "Add: 51 + 319/289 = 15058/289"], "final_answer": "15058/289", "answer_type": "rational", "kind": "expression", "math_text": "51 + 319 / (381 - 92)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 319, \"c\": 381, \"d\": 92}", "seed": "7595096601730162680", "semantic_fingerprint": "sha256:fc36f7ab31b47f9435cb7036cf43c214e12598356b09c5ea8906b1507fd2e5a7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000979", "prompt": "What is -844 * 2 + (85 * (-81) + (-18))?", "solution_steps": ["Multiply: -844 * 2 = -1688", "Multiply: 85 * (-81) = -6885", "Add: -6885 + (-18) = -6903", "Add: -1688 + (-6903) = -8591"], "final_answer": "-8591", "answer_type": "integer", "kind": "expression", "math_text": "-844 * 2 + (85 * (-81) + (-18))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -844, \"b\": 2, \"c\": 85, \"d\": -81, \"e\": -18}", "seed": "12711680758493009397", "semantic_fingerprint": "sha256:6e608d38a6011d85fc127886b9603f30ce63b3dfb1697760e451da72175f3278", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000980", "prompt": "Evaluate: -38 + (-28) + 83 + (-81) - 480 / (-1)", "solution_steps": ["Add: -38 + (-28) = -66", "Add: -66 + 83 = 17", "Add: 17 + (-81) = -64", "Divide: 480 / (-1) = -480", "Subtract: -64 - (-480) = 416"], "final_answer": "416", "answer_type": "integer", "kind": "expression", "math_text": "-38 + (-28) + 83 + (-81) - 480 / (-1)", "variable": null, "family": "expression_5op", "shape": "(- (+ (+ (+ n n) n) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": -28, \"c\": 83, \"d\": -81, \"e\": 480, \"f\": -1}", "seed": "8193908579796621395", "semantic_fingerprint": "sha256:eee934cd07c1770048745a684885bb7ed66578fc736621dc4752802e3da1e78a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000981", "prompt": "What is -429 / (-575) - 0 - (-31)?", "solution_steps": ["Divide: -429 / (-575) = 429/575", "Subtract: 429/575 - 0 = 429/575", "Subtract: 429/575 - (-31) = 18254/575"], "final_answer": "18254/575", "answer_type": "rational", "kind": "expression", "math_text": "-429 / (-575) - 0 - (-31)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -429, \"b\": -575, \"c\": 0, \"d\": -31}", "seed": "17271084800024497798", "semantic_fingerprint": "sha256:072ae963d9c03078d8d29fdd7a0aaf1e8666c5f90bcdb33d0bb47f82d7a2a6b4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000982", "prompt": "Find x: 9(x - 82) = 11x - 736", "solution_steps": ["Expand: 9x - 738 = 11x - 736", "Subtract 11x from both sides: -2x - 738 = -736", "Add 738 to both sides: -2x = 2", "Divide both sides by -2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 82) = 11x - 736", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 82, \"c\": 11, \"e\": -736, \"x\": -1}", "seed": "18141380811358820969", "semantic_fingerprint": "sha256:e722b5f1ee71b19ff34c05e7acb613e1c9a6e9576f3c1498d319708fd696c531", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000983", "prompt": "Calculate: (-2 - 99) * 299 * (-18)", "solution_steps": ["Subtract: -2 - 99 = -101", "Multiply: -101 * 299 = -30199", "Multiply: -30199 * (-18) = 543582"], "final_answer": "543582", "answer_type": "integer", "kind": "expression", "math_text": "(-2 - 99) * 299 * (-18)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 99, \"c\": 299, \"d\": -18}", "seed": "17619174646428658295", "semantic_fingerprint": "sha256:087ef2c856af385edbbe148615c10025577d74d42d72b1a49de0d4615efab505", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000984", "prompt": "Find x: -2(x - 93) - 114 = 5(x - 1)", "solution_steps": ["Expand: -2x + 186 - 114 = 5(x - 1)", "Expand: -2x + 186 - 114 = 5x - 5", "Combine constants: -2x + 72 = 5x - 5", "Subtract 5x from both sides: -7x + 72 = -5", "Subtract 72 from both sides: -7x = -77", "Divide both sides by -7: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 93) - 114 = 5(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 93, \"c\": 5, \"d\": 1, \"f\": -114, \"x\": 11}", "seed": "7333057139900570545", "semantic_fingerprint": "sha256:dab0ce8ab84fe7f4d399d64498d977c402b4324b5fd5b20b32c02abe33d7c127", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000985", "prompt": "What is (2 + (-5) + 1) * (-176)?", "solution_steps": ["Add: 2 + (-5) = -3", "Add: -3 + 1 = -2", "Multiply: -2 * (-176) = 352"], "final_answer": "352", "answer_type": "integer", "kind": "expression", "math_text": "(2 + (-5) + 1) * (-176)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -5, \"c\": 1, \"d\": -176}", "seed": "14701479119666278452", "semantic_fingerprint": "sha256:bae177eac140f0cbec026849447a6ced8b0e5f6de7f27d06d8c3c92647439072", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000986", "prompt": "What value of x satisfies -7(x - 7) - 83 = 11(x - 7) - 227?", "solution_steps": ["Expand: -7x + 49 - 83 = 11(x - 7) - 227", "Expand: -7x + 49 - 83 = 11x - 77 - 227", "Combine constants: -7x - 34 = 11x - 77 - 227", "Combine constants: -7x - 34 = 11x - 304", "Subtract 11x from both sides: -18x - 34 = -304", "Add 34 to both sides: -18x = -270", "Divide both sides by -18: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 7) - 83 = 11(x - 7) - 227", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 7, \"c\": 83, \"d\": 11, \"e\": 7, \"g\": -227, \"x\": 15}", "seed": "10137856565150957052", "semantic_fingerprint": "sha256:aea7cceb6c3e0137a7b55870dd036ff6310bc9be5eb274448df0ee1070fcfb8b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000987", "prompt": "Evaluate: 59 / 74 - 92 - (-6)", "solution_steps": ["Divide: 59 / 74 = 59/74", "Subtract: 59/74 - 92 = -6749/74", "Subtract: -6749/74 - (-6) = -6305/74"], "final_answer": "-6305/74", "answer_type": "rational", "kind": "expression", "math_text": "59 / 74 - 92 - (-6)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": 74, \"c\": 92, \"d\": -6}", "seed": "3748161168511972647", "semantic_fingerprint": "sha256:bf5994010fba2a207aa9c570251796f803a8d424c71ff55f73380708fc41e0c4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000988", "prompt": "Calculate: 836 * 81 / (96 + (-3))", "solution_steps": ["Multiply: 836 * 81 = 67716", "Add: 96 + (-3) = 93", "Divide: 67716 / 93 = 22572/31"], "final_answer": "22572/31", "answer_type": "rational", "kind": "expression", "math_text": "836 * 81 / (96 + (-3))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 836, \"b\": 81, \"c\": 96, \"d\": -3}", "seed": "16087477164348888639", "semantic_fingerprint": "sha256:e8594268bc9b43711fef30b06da7985fc91e509c33baaf1d2c607a266e6738c1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000989", "prompt": "What is -52 / (-958) - 60 - (-81)?", "solution_steps": ["Divide: -52 / (-958) = 26/479", "Subtract: 26/479 - 60 = -28714/479", "Subtract: -28714/479 - (-81) = 10085/479"], "final_answer": "10085/479", "answer_type": "rational", "kind": "expression", "math_text": "-52 / (-958) - 60 - (-81)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": -958, \"c\": 60, \"d\": -81}", "seed": "8075805897111187037", "semantic_fingerprint": "sha256:721096be70d2529b8b83c4795f77f55400f0dc8c4ece6f7ae13ffb72174a6dc5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000990", "prompt": "Solve the equation 7(x - 84) = 2x - 6 for x.", "solution_steps": ["Expand: 7x - 588 = 2x - 6", "Subtract 2x from both sides: 5x - 588 = -6", "Add 588 to both sides: 5x = 582", "Divide both sides by 5: x = 582/5"], "final_answer": "582/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 84) = 2x - 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 84, \"c\": 2, \"d\": 6}", "seed": "17302191725126480922", "semantic_fingerprint": "sha256:ec93a78b514ba8bbd67f60ad261e75f6c0ebbc8cb7b63218841ac94e9ebbdbd8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000991", "prompt": "Solve for x: 5(x - 77) = 9x - 365", "solution_steps": ["Expand: 5x - 385 = 9x - 365", "Subtract 9x from both sides: -4x - 385 = -365", "Add 385 to both sides: -4x = 20", "Divide both sides by -4: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 77) = 9x - 365", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 77, \"c\": 9, \"e\": -365, \"x\": -5}", "seed": "2039594739490258598", "semantic_fingerprint": "sha256:f9e7abb7aebc069583e55c423ae4f34438605316717cffcf90ee1585c80babf3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000992", "prompt": "Find x: 3(x - 117) - 6 = 8(x - 41)", "solution_steps": ["Expand: 3x - 351 - 6 = 8(x - 41)", "Expand: 3x - 351 - 6 = 8x - 328", "Combine constants: 3x - 357 = 8x - 328", "Subtract 8x from both sides: -5x - 357 = -328", "Add 357 to both sides: -5x = 29", "Divide both sides by -5: x = -29/5"], "final_answer": "-29/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 117) - 6 = 8(x - 41)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 117, \"c\": 6, \"d\": 8, \"e\": 41}", "seed": "6002736522546827249", "semantic_fingerprint": "sha256:f5f7d4259670a458bc0bbe690910c365d77d0a6935cdb0584139de298d5a071b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000993", "prompt": "Evaluate: (-9 - (-21)) * (-7 / (-9))", "solution_steps": ["Subtract: -9 - (-21) = 12", "Divide: -7 / (-9) = 7/9", "Multiply: 12 * (7/9) = 28/3"], "final_answer": "28/3", "answer_type": "rational", "kind": "expression", "math_text": "(-9 - (-21)) * (-7 / (-9))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -21, \"c\": -7, \"d\": -9}", "seed": "14761106561593190064", "semantic_fingerprint": "sha256:e88fcdab65c6a1bea3a56a82941a5c9184af73adf988ef77481928d74f99d39b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000994", "prompt": "What is (-99 - (-12) + 0) * 11?", "solution_steps": ["Subtract: -99 - (-12) = -87", "Add: -87 + 0 = -87", "Multiply: -87 * 11 = -957"], "final_answer": "-957", "answer_type": "integer", "kind": "expression", "math_text": "(-99 - (-12) + 0) * 11", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -12, \"c\": 0, \"d\": 11}", "seed": "3255960616187176276", "semantic_fingerprint": "sha256:09bcf93ec2868b9fe6f3e372a3097d9ce384aa98bd89346461cb748542afa255", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000995", "prompt": "Solve the equation 2(x - 26) + 46 = 7(x + 40) - 296 for x.", "solution_steps": ["Expand: 2x - 52 + 46 = 7(x + 40) - 296", "Expand: 2x - 52 + 46 = 7x + 280 - 296", "Combine constants: 2x - 6 = 7x + 280 - 296", "Combine constants: 2x - 6 = 7x - 16", "Subtract 7x from both sides: -5x - 6 = -16", "Add 6 to both sides: -5x = -10", "Divide both sides by -5: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 26) + 46 = 7(x + 40) - 296", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 26, \"c\": 46, \"d\": 7, \"e\": 40, \"g\": -296, \"x\": 2}", "seed": "9134528334779094969", "semantic_fingerprint": "sha256:e65421d8cc5e8ef47b882f59a300474a8e334c07011ef6f19837add7e41451ba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000996", "prompt": "Compute: (460 * (-296) + 318) * 3", "solution_steps": ["Multiply: 460 * (-296) = -136160", "Add: -136160 + 318 = -135842", "Multiply: -135842 * 3 = -407526"], "final_answer": "-407526", "answer_type": "integer", "kind": "expression", "math_text": "(460 * (-296) + 318) * 3", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 460, \"b\": -296, \"c\": 318, \"d\": 3}", "seed": "4458432222462379472", "semantic_fingerprint": "sha256:ff27578255e4d63d21ae4aaee6ea633e438ab7d8b8fa2072a503491bf1d754fb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000997", "prompt": "Evaluate: 9 / 79 + (-7) / 1", "solution_steps": ["Divide: 9 / 79 = 9/79", "Divide: -7 / 1 = -7", "Add: 9/79 + (-7) = -544/79"], "final_answer": "-544/79", "answer_type": "rational", "kind": "expression", "math_text": "9 / 79 + (-7) / 1", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 79, \"c\": -7, \"d\": 1}", "seed": "17515472849353927691", "semantic_fingerprint": "sha256:db361d1f3df5d4d765bdaec0a11696a7a57548c0e1090b872ef4f696fe4587a1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000998", "prompt": "What value of x satisfies 9(x - 39) + 292 = 4(x - 1)?", "solution_steps": ["Expand: 9x - 351 + 292 = 4(x - 1)", "Expand: 9x - 351 + 292 = 4x - 4", "Combine constants: 9x - 59 = 4x - 4", "Subtract 4x from both sides: 5x - 59 = -4", "Add 59 to both sides: 5x = 55", "Divide both sides by 5: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 39) + 292 = 4(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 39, \"c\": 4, \"d\": 1, \"f\": 292, \"x\": 11}", "seed": "17998822486764942903", "semantic_fingerprint": "sha256:40187d4fb94271188bfb971d1ca553f76accc1c4149354e5f7f3bc8d1ac5a088", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00000999", "prompt": "Solve for x: 6(x + 7) - 8 = x - 31", "solution_steps": ["Expand: 6x + 42 - 8 = x - 31", "Combine constants: 6x + 34 = x - 31", "Subtract x from both sides: 5x + 34 = -31", "Subtract 34 from both sides: 5x = -65", "Divide both sides by 5: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 7) - 8 = x - 31", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": 8, \"e\": -31, \"x\": -13}", "seed": "10457793580007844667", "semantic_fingerprint": "sha256:935abfd424c9601ea01fc4bff9cec1f49323a97a9bf46d6cb7a5bcf7d4d1fb69", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001000", "prompt": "Evaluate: 0 + (56 * (-800) + (61 - 34 - 5))", "solution_steps": ["Multiply: 56 * (-800) = -44800", "Subtract: 61 - 34 = 27", "Subtract: 27 - 5 = 22", "Add: -44800 + 22 = -44778", "Add: 0 + (-44778) = -44778"], "final_answer": "-44778", "answer_type": "integer", "kind": "expression", "math_text": "0 + (56 * (-800) + (61 - 34 - 5))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (* n n) (- (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 56, \"c\": -800, \"d\": 61, \"e\": 34, \"f\": 5}", "seed": "13793191227634562363", "semantic_fingerprint": "sha256:0ffa8a0092b36bb54ee6039f46109efe89ec3993eba8d04eb309ba229f2c5f53", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001001", "prompt": "Solve for x: -5(x - 26) + 4 = 10(x - 11)", "solution_steps": ["Expand: -5x + 130 + 4 = 10(x - 11)", "Expand: -5x + 130 + 4 = 10x - 110", "Combine constants: -5x + 134 = 10x - 110", "Subtract 10x from both sides: -15x + 134 = -110", "Subtract 134 from both sides: -15x = -244", "Divide both sides by -15: x = 244/15"], "final_answer": "244/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 26) + 4 = 10(x - 11)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 26, \"c\": 4, \"d\": 10, \"e\": 11}", "seed": "13450334474842203319", "semantic_fingerprint": "sha256:86be3e7ab9c97da9c80d3a56e27c51ebcecf81308b19b67534984e180f4e2fbd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001002", "prompt": "Compute: 0 - (-655 + 748 + 40 + (-2))", "solution_steps": ["Add: -655 + 748 = 93", "Add: 93 + 40 = 133", "Add: 133 + (-2) = 131", "Subtract: 0 - 131 = -131"], "final_answer": "-131", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-655 + 748 + 40 + (-2))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (+ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -655, \"c\": 748, \"d\": 40, \"e\": -2}", "seed": "17487813419946785287", "semantic_fingerprint": "sha256:a192873eb498dffd69854dec42c55f18ff64c2d9a079b926f46b68d5b0d79a69", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001003", "prompt": "What value of x satisfies 9(x - 47) - 63 = 3(x - 21)?", "solution_steps": ["Expand: 9x - 423 - 63 = 3(x - 21)", "Expand: 9x - 423 - 63 = 3x - 63", "Combine constants: 9x - 486 = 3x - 63", "Subtract 3x from both sides: 6x - 486 = -63", "Add 486 to both sides: 6x = 423", "Divide both sides by 6: x = 141/2"], "final_answer": "141/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 47) - 63 = 3(x - 21)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 47, \"c\": 63, \"d\": 3, \"e\": 21}", "seed": "14464213767666820317", "semantic_fingerprint": "sha256:30c40aab3ce5007d633d83882851fc77226a2842a228cfbc07e2e9146c460bd4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001004", "prompt": "Find x: 9(x + 94) + 63 = 3(x + 84) - 5", "solution_steps": ["Expand: 9x + 846 + 63 = 3(x + 84) - 5", "Expand: 9x + 846 + 63 = 3x + 252 - 5", "Combine constants: 9x + 909 = 3x + 252 - 5", "Combine constants: 9x + 909 = 3x + 247", "Subtract 3x from both sides: 6x + 909 = 247", "Subtract 909 from both sides: 6x = -662", "Divide both sides by 6: x = -331/3"], "final_answer": "-331/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 94) + 63 = 3(x + 84) - 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 94, \"c\": 63, \"d\": 3, \"e\": 84, \"f\": 5}", "seed": "3276679597436568182", "semantic_fingerprint": "sha256:8257fa8fdd756549d223d6c23ba581c337ffaab36243487caa1ea5a5d17d4fd9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001005", "prompt": "Solve the equation 9(x - 4) - 216 = -12(x - 7) for x.", "solution_steps": ["Expand: 9x - 36 - 216 = -12(x - 7)", "Expand: 9x - 36 - 216 = -12x + 84", "Combine constants: 9x - 252 = -12x + 84", "Add 12x to both sides: 21x - 252 = 84", "Add 252 to both sides: 21x = 336", "Divide both sides by 21: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 4) - 216 = -12(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": -12, \"d\": 7, \"f\": -216, \"x\": 16}", "seed": "16702258504627696585", "semantic_fingerprint": "sha256:1ff89ba5540c9173d609cf74238bfe79c01a7df661c9e266ccef725cd43776e0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001006", "prompt": "Find x: 11x - 3 = 8(x + 84) + 39", "solution_steps": ["Expand: 11x - 3 = 8x + 672 + 39", "Combine constants: 11x - 3 = 8x + 711", "Subtract 8x from both sides: 3x - 3 = 711", "Add 3 to both sides: 3x = 714", "Divide both sides by 3: x = 238"], "final_answer": "238", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 3 = 8(x + 84) + 39", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3, \"c\": 8, \"d\": 84, \"e\": 39}", "seed": "18276304536870449775", "semantic_fingerprint": "sha256:704684361985576fe7a4650db52ba75792f24b29a3ccdd36cb58ae3ff000afb3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001007", "prompt": "Solve for x: -3(x - 9) + 9 = 2x + 126", "solution_steps": ["Expand: -3x + 27 + 9 = 2x + 126", "Combine constants: -3x + 36 = 2x + 126", "Subtract 2x from both sides: -5x + 36 = 126", "Subtract 36 from both sides: -5x = 90", "Divide both sides by -5: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 9) + 9 = 2x + 126", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 9, \"c\": 9, \"d\": 2, \"f\": 126, \"x\": -18}", "seed": "2202116568557947987", "semantic_fingerprint": "sha256:d49a431d8e495204890e2716b8cbe4e2bed9007f2bd1ecfd86f581c57d58f717", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001008", "prompt": "Solve the equation 10x - 9 = -4(x + 74) + 710 for x.", "solution_steps": ["Expand: 10x - 9 = -4x - 296 + 710", "Combine constants: 10x - 9 = -4x + 414", "Add 4x to both sides: 14x - 9 = 414", "Add 9 to both sides: 14x = 423", "Divide both sides by 14: x = 423/14"], "final_answer": "423/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x - 9 = -4(x + 74) + 710", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": -4, \"d\": 74, \"e\": 710}", "seed": "15860052579209262218", "semantic_fingerprint": "sha256:72aa26a356ae4e617c5216d1cfb3865d41b2d4107b685a912ea745266b27ae10", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001009", "prompt": "Find x: 3(x - 7) - 682 = 7(x - 105)", "solution_steps": ["Expand: 3x - 21 - 682 = 7(x - 105)", "Expand: 3x - 21 - 682 = 7x - 735", "Combine constants: 3x - 703 = 7x - 735", "Subtract 7x from both sides: -4x - 703 = -735", "Add 703 to both sides: -4x = -32", "Divide both sides by -4: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 7) - 682 = 7(x - 105)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 7, \"d\": 105, \"f\": -682, \"x\": 8}", "seed": "680111411621892770", "semantic_fingerprint": "sha256:5bd816e737a6fb21cfe061acd836e4a49039420702c2b19f905da7a2f0cfa338", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001010", "prompt": "What is -7 / (0 * (-4) - (74 - (-2))) / (-28)?", "solution_steps": ["Multiply: 0 * (-4) = 0", "Subtract: 74 - (-2) = 76", "Subtract: 0 - 76 = -76", "Divide: -7 / (-76) = 7/76", "Divide: (7/76) / (-28) = -1/304"], "final_answer": "-1/304", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (0 * (-4) - (74 - (-2))) / (-28)", "variable": null, "family": "expression_5op", "shape": "(/ (/ n (- (* n n) (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 0, \"c\": -4, \"d\": 74, \"e\": -2, \"f\": -28}", "seed": "17898421317860098359", "semantic_fingerprint": "sha256:d6e5c45197003aaa1e01981f60445c3636a237ff6c1decbb7ae2f5505fbcaa42", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001011", "prompt": "Calculate: (-21 - (-7)) * (-296) - 8 * (-23) / 5", "solution_steps": ["Subtract: -21 - (-7) = -14", "Multiply: -14 * (-296) = 4144", "Multiply: 8 * (-23) = -184", "Divide: -184 / 5 = -184/5", "Subtract: 4144 - (-184/5) = 20904/5"], "final_answer": "20904/5", "answer_type": "rational", "kind": "expression", "math_text": "(-21 - (-7)) * (-296) - 8 * (-23) / 5", "variable": null, "family": "expression_5op", "shape": "(- (* (- n n) n) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": -7, \"c\": -296, \"d\": 8, \"e\": -23, \"f\": 5}", "seed": "5575537740979322927", "semantic_fingerprint": "sha256:c40c7b9a0fae2b4289825439a4d9caf7980b841c98ccdccb3c3e646f7d6049ac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001012", "prompt": "What is (919 - (-36)) * (9 / (-82))?", "solution_steps": ["Subtract: 919 - (-36) = 955", "Divide: 9 / (-82) = -9/82", "Multiply: 955 * (-9/82) = -8595/82"], "final_answer": "-8595/82", "answer_type": "rational", "kind": "expression", "math_text": "(919 - (-36)) * (9 / (-82))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 919, \"b\": -36, \"c\": 9, \"d\": -82}", "seed": "278166928360572713", "semantic_fingerprint": "sha256:863708454df314bb39ce225ce41ee68280a929045b7853c74e28bafc2b70b663", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001013", "prompt": "Evaluate: (-88 + (-97) * 4) / (5 * 17)", "solution_steps": ["Multiply: -97 * 4 = -388", "Add: -88 + (-388) = -476", "Multiply: 5 * 17 = 85", "Divide: -476 / 85 = -28/5"], "final_answer": "-28/5", "answer_type": "rational", "kind": "expression", "math_text": "(-88 + (-97) * 4) / (5 * 17)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": -97, \"c\": 4, \"d\": 5, \"e\": 17}", "seed": "10006212419529343056", "semantic_fingerprint": "sha256:82314ca82c6996e525e025410dea7132d8844a2471d9d2e7d839f1bff55d0d6f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001014", "prompt": "What is (-7 / 2 + 0) * (-12)?", "solution_steps": ["Divide: -7 / 2 = -7/2", "Add: -7/2 + 0 = -7/2", "Multiply: (-7/2) * (-12) = 42"], "final_answer": "42", "answer_type": "integer", "kind": "expression", "math_text": "(-7 / 2 + 0) * (-12)", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 2, \"c\": 0, \"d\": -12}", "seed": "13134725167901328091", "semantic_fingerprint": "sha256:048ff6a0a4a09625db9b05783371e30a47d67853f98de301912063e00652628c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001015", "prompt": "Evaluate: 9 / (601 / (-7 * 859))", "solution_steps": ["Multiply: -7 * 859 = -6013", "Divide: 601 / (-6013) = -601/6013", "Divide: 9 / (-601/6013) = -54117/601"], "final_answer": "-54117/601", "answer_type": "rational", "kind": "expression", "math_text": "9 / (601 / (-7 * 859))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 601, \"c\": -7, \"d\": 859}", "seed": "10822778270754317929", "semantic_fingerprint": "sha256:567d0e49a8f9405379a721b163c06f4276f12fd5fe2ec4f0d56f8e14db150766", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001016", "prompt": "What is (-5 + (-1)) * (9 - (-5) - 3)?", "solution_steps": ["Add: -5 + (-1) = -6", "Subtract: 9 - (-5) = 14", "Subtract: 14 - 3 = 11", "Multiply: -6 * 11 = -66"], "final_answer": "-66", "answer_type": "integer", "kind": "expression", "math_text": "(-5 + (-1)) * (9 - (-5) - 3)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -1, \"c\": 9, \"d\": -5, \"e\": 3}", "seed": "6457812364747060210", "semantic_fingerprint": "sha256:eb085da3eec2544a9fc735b599e6368747dfe7324c857c1e73190ad65a55a93a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001017", "prompt": "Calculate: 11 * (42 - (-37)) * (-73 / 77)", "solution_steps": ["Subtract: 42 - (-37) = 79", "Multiply: 11 * 79 = 869", "Divide: -73 / 77 = -73/77", "Multiply: 869 * (-73/77) = -5767/7"], "final_answer": "-5767/7", "answer_type": "rational", "kind": "expression", "math_text": "11 * (42 - (-37)) * (-73 / 77)", "variable": null, "family": "expression_4op", "shape": "(* (* n (- n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 42, \"c\": -37, \"d\": -73, \"e\": 77}", "seed": "13148408979694434441", "semantic_fingerprint": "sha256:cba31352fc9ee2c797b437ed5aea1e7a525bbebd69955fd1164a2a6868df8e05", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001018", "prompt": "Solve for x: 8(x - 33) + 65 = 6(x + 4) - 241", "solution_steps": ["Expand: 8x - 264 + 65 = 6(x + 4) - 241", "Expand: 8x - 264 + 65 = 6x + 24 - 241", "Combine constants: 8x - 199 = 6x + 24 - 241", "Combine constants: 8x - 199 = 6x - 217", "Subtract 6x from both sides: 2x - 199 = -217", "Add 199 to both sides: 2x = -18", "Divide both sides by 2: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 33) + 65 = 6(x + 4) - 241", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 33, \"c\": 65, \"d\": 6, \"e\": 4, \"g\": -241, \"x\": -9}", "seed": "16540227903485459041", "semantic_fingerprint": "sha256:1b2b73592c6aa6ffe400822c1559ba7b96f41ea1a7a650355b357ab27bfcaee9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001019", "prompt": "Solve for x: x - 6 = 6(x - 63) + 302", "solution_steps": ["Expand: x - 6 = 6x - 378 + 302", "Combine constants: x - 6 = 6x - 76", "Subtract 6x from both sides: -5x - 6 = -76", "Add 6 to both sides: -5x = -70", "Divide both sides by -5: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6 = 6(x - 63) + 302", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 63, \"e\": 302, \"x\": 14}", "seed": "2654492000693326829", "semantic_fingerprint": "sha256:02753934e3e71401d5572e1579a4bf137424c1e6e7f7adc7e9f71184a59e85b0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001020", "prompt": "What is 469 + (-9 - (-539) - 1) / 989?", "solution_steps": ["Subtract: -9 - (-539) = 530", "Subtract: 530 - 1 = 529", "Divide: 529 / 989 = 23/43", "Add: 469 + 23/43 = 20190/43"], "final_answer": "20190/43", "answer_type": "rational", "kind": "expression", "math_text": "469 + (-9 - (-539) - 1) / 989", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (- (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 469, \"b\": -9, \"c\": -539, \"d\": 1, \"e\": 989}", "seed": "5796273310955942713", "semantic_fingerprint": "sha256:f13127490d9d974661b29d08e4d5739ad4d7e198a331993605fd469d397a87dc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001021", "prompt": "Evaluate: (7 - (26 - 6)) * (820 - (-47) / (-11))", "solution_steps": ["Subtract: 26 - 6 = 20", "Subtract: 7 - 20 = -13", "Divide: -47 / (-11) = 47/11", "Subtract: 820 - 47/11 = 8973/11", "Multiply: -13 * (8973/11) = -116649/11"], "final_answer": "-116649/11", "answer_type": "rational", "kind": "expression", "math_text": "(7 - (26 - 6)) * (820 - (-47) / (-11))", "variable": null, "family": "expression_5op", "shape": "(* (- n (- n n)) (- n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 26, \"c\": 6, \"d\": 820, \"e\": -47, \"f\": -11}", "seed": "14562497753443755039", "semantic_fingerprint": "sha256:1fa0b993e86f6039de2a5575b84938f194eeccdc07424114d9bc72cf49005d4d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001022", "prompt": "What value of x satisfies 4(x - 65) - 35 = -8(x - 7) - 219?", "solution_steps": ["Expand: 4x - 260 - 35 = -8(x - 7) - 219", "Expand: 4x - 260 - 35 = -8x + 56 - 219", "Combine constants: 4x - 295 = -8x + 56 - 219", "Combine constants: 4x - 295 = -8x - 163", "Add 8x to both sides: 12x - 295 = -163", "Add 295 to both sides: 12x = 132", "Divide both sides by 12: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 65) - 35 = -8(x - 7) - 219", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 65, \"c\": 35, \"d\": -8, \"e\": 7, \"g\": -219, \"x\": 11}", "seed": "8766998576296973314", "semantic_fingerprint": "sha256:008474fb1bca1e2fedd4c7b17d560d7903c850f514f0045d5654a04997b9d822", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001023", "prompt": "Calculate: (22 / 8 / (2 / (-629)) - 9) / 99", "solution_steps": ["Divide: 22 / 8 = 11/4", "Divide: 2 / (-629) = -2/629", "Divide: (11/4) / (-2/629) = -6919/8", "Subtract: -6919/8 - 9 = -6991/8", "Divide: (-6991/8) / 99 = -6991/792"], "final_answer": "-6991/792", "answer_type": "rational", "kind": "expression", "math_text": "(22 / 8 / (2 / (-629)) - 9) / 99", "variable": null, "family": "expression_5op", "shape": "(/ (- (/ (/ n n) (/ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": 8, \"c\": 2, \"d\": -629, \"e\": 9, \"f\": 99}", "seed": "12568826496898660772", "semantic_fingerprint": "sha256:27e2472636c8667bb1431319f79155dfaf73d26a1c0f131d2b2283f38d98c2d4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001024", "prompt": "Compute: -6 - (-9) * (-1) - 536", "solution_steps": ["Multiply: -9 * (-1) = 9", "Subtract: -6 - 9 = -15", "Subtract: -15 - 536 = -551"], "final_answer": "-551", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (-9) * (-1) - 536", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -9, \"c\": -1, \"d\": 536}", "seed": "6695843366932138544", "semantic_fingerprint": "sha256:7d08af1c17f8503259d40f0195c8cfc6bd954e776bfb387e3821fa6205b35737", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001025", "prompt": "Compute: -27 * (76 * (3 - 61))", "solution_steps": ["Subtract: 3 - 61 = -58", "Multiply: 76 * (-58) = -4408", "Multiply: -27 * (-4408) = 119016"], "final_answer": "119016", "answer_type": "integer", "kind": "expression", "math_text": "-27 * (76 * (3 - 61))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": 76, \"c\": 3, \"d\": 61}", "seed": "15560743875206594300", "semantic_fingerprint": "sha256:63f2633c7ec5337b6bbc3f0894009704cc94c5f5e0d022919b597c9c22ffa693", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001026", "prompt": "What is 28 * (-4 / (-74)) - (98 - 93 / 31)?", "solution_steps": ["Divide: -4 / (-74) = 2/37", "Multiply: 28 * (2/37) = 56/37", "Divide: 93 / 31 = 3", "Subtract: 98 - 3 = 95", "Subtract: 56/37 - 95 = -3459/37"], "final_answer": "-3459/37", "answer_type": "rational", "kind": "expression", "math_text": "28 * (-4 / (-74)) - (98 - 93 / 31)", "variable": null, "family": "expression_5op", "shape": "(- (* n (/ n n)) (- n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -4, \"c\": -74, \"d\": 98, \"e\": 93, \"f\": 31}", "seed": "15369460030127636579", "semantic_fingerprint": "sha256:276be8cbe856d6e97949d4d0c7c3e83b382d6061f38803fda606d640040b99ca", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001027", "prompt": "Solve the equation x - 5 = 9(x - 2) + 982 for x.", "solution_steps": ["Expand: x - 5 = 9x - 18 + 982", "Combine constants: x - 5 = 9x + 964", "Subtract 9x from both sides: -8x - 5 = 964", "Add 5 to both sides: -8x = 969", "Divide both sides by -8: x = -969/8"], "final_answer": "-969/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5 = 9(x - 2) + 982", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 2, \"d\": 982}", "seed": "10707423561221793763", "semantic_fingerprint": "sha256:bb6ef6252f4c8d2f1c983624547147f0961cf6aa0f86f4fc31d0da0c116cb011", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001028", "prompt": "Evaluate: -6 - (-22 * (-52) + 11)", "solution_steps": ["Multiply: -22 * (-52) = 1144", "Add: 1144 + 11 = 1155", "Subtract: -6 - 1155 = -1161"], "final_answer": "-1161", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (-22 * (-52) + 11)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -22, \"c\": -52, \"d\": 11}", "seed": "10849582235507252759", "semantic_fingerprint": "sha256:1b89b4a7bd5d9a0767e0b5237191a24f262c25d1758a6b84d45c79f67e8e1a49", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001029", "prompt": "Evaluate: -99 + (-96) - (-58 + (-83))", "solution_steps": ["Add: -99 + (-96) = -195", "Add: -58 + (-83) = -141", "Subtract: -195 - (-141) = -54"], "final_answer": "-54", "answer_type": "integer", "kind": "expression", "math_text": "-99 + (-96) - (-58 + (-83))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -96, \"c\": -58, \"d\": -83}", "seed": "10650819846144923710", "semantic_fingerprint": "sha256:8543c74f96d319e5a83de39b63250d982a4e3e4b9d6aa28315ac5b39c76b0a73", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001030", "prompt": "Solve for x: 8(x + 83) + 95 = -10(x + 64) - 7", "solution_steps": ["Expand: 8x + 664 + 95 = -10(x + 64) - 7", "Expand: 8x + 664 + 95 = -10x - 640 - 7", "Combine constants: 8x + 759 = -10x - 640 - 7", "Combine constants: 8x + 759 = -10x - 647", "Add 10x to both sides: 18x + 759 = -647", "Subtract 759 from both sides: 18x = -1406", "Divide both sides by 18: x = -703/9"], "final_answer": "-703/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 83) + 95 = -10(x + 64) - 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 83, \"c\": 95, \"d\": -10, \"e\": 64, \"f\": 7}", "seed": "14240169674567421019", "semantic_fingerprint": "sha256:305a9ebca58e6a0a1225160d1bbead0b4ab2f2d0a4d714ff93a2d9c55cdb5881", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001031", "prompt": "Compute: (-95 - (-373) - (-23)) * (-9 + 56)", "solution_steps": ["Subtract: -95 - (-373) = 278", "Subtract: 278 - (-23) = 301", "Add: -9 + 56 = 47", "Multiply: 301 * 47 = 14147"], "final_answer": "14147", "answer_type": "integer", "kind": "expression", "math_text": "(-95 - (-373) - (-23)) * (-9 + 56)", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": -373, \"c\": -23, \"d\": -9, \"e\": 56}", "seed": "15366800936181511205", "semantic_fingerprint": "sha256:ca9007f085750ec67b8308fe08c3150974cd7b5145eb7a425d48a0c0f4cb18da", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001032", "prompt": "What is (77 - 1) * (-64 / 57)?", "solution_steps": ["Subtract: 77 - 1 = 76", "Divide: -64 / 57 = -64/57", "Multiply: 76 * (-64/57) = -256/3"], "final_answer": "-256/3", "answer_type": "rational", "kind": "expression", "math_text": "(77 - 1) * (-64 / 57)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 1, \"c\": -64, \"d\": 57}", "seed": "5681443408348551763", "semantic_fingerprint": "sha256:9676cac70e5e18b577a3148194f6a188f8cd2c8d2ce27e6e41c0eec70a28a06c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001033", "prompt": "Solve for x: x - 67 = 11(x - 3) + 99", "solution_steps": ["Expand: x - 67 = 11x - 33 + 99", "Combine constants: x - 67 = 11x + 66", "Subtract 11x from both sides: -10x - 67 = 66", "Add 67 to both sides: -10x = 133", "Divide both sides by -10: x = -133/10"], "final_answer": "-133/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 67 = 11(x - 3) + 99", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 11, \"c\": 3, \"d\": 99}", "seed": "16617909272472571794", "semantic_fingerprint": "sha256:2d6b0eefeed05ab6919d08616010accdc056731518079493f562b2e114e465b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001034", "prompt": "Calculate: (6 + (-5) + (682 + (-5) - (-395))) * 77", "solution_steps": ["Add: 6 + (-5) = 1", "Add: 682 + (-5) = 677", "Subtract: 677 - (-395) = 1072", "Add: 1 + 1072 = 1073", "Multiply: 1073 * 77 = 82621"], "final_answer": "82621", "answer_type": "integer", "kind": "expression", "math_text": "(6 + (-5) + (682 + (-5) - (-395))) * 77", "variable": null, "family": "expression_5op", "shape": "(* (+ (+ n n) (- (+ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -5, \"c\": 682, \"d\": -5, \"e\": -395, \"f\": 77}", "seed": "14391834966287016580", "semantic_fingerprint": "sha256:46dcd8d471d5a3befbe2d3cd7dc2999c528895bc095d1f5a31c13f381e9a1881", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001035", "prompt": "Compute: 9 - (648 * 3 + 5)", "solution_steps": ["Multiply: 648 * 3 = 1944", "Add: 1944 + 5 = 1949", "Subtract: 9 - 1949 = -1940"], "final_answer": "-1940", "answer_type": "integer", "kind": "expression", "math_text": "9 - (648 * 3 + 5)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 648, \"c\": 3, \"d\": 5}", "seed": "14878485637608819178", "semantic_fingerprint": "sha256:d93c2d36ff93c085432280fcdf07ca2ce07918fae0573cd3db7e3106bb49efd6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001036", "prompt": "Compute: (-8 + 4) / (12 / (-35))", "solution_steps": ["Add: -8 + 4 = -4", "Divide: 12 / (-35) = -12/35", "Divide: -4 / (-12/35) = 35/3"], "final_answer": "35/3", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + 4) / (12 / (-35))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 4, \"c\": 12, \"d\": -35}", "seed": "16966091067218096652", "semantic_fingerprint": "sha256:1ee6f8616819383b88c9182ab3562461082793d13c5f45e12b3d848fecdfd1a3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001037", "prompt": "What is -155 - (-870) - (-39 - (4 + 4))?", "solution_steps": ["Subtract: -155 - (-870) = 715", "Add: 4 + 4 = 8", "Subtract: -39 - 8 = -47", "Subtract: 715 - (-47) = 762"], "final_answer": "762", "answer_type": "integer", "kind": "expression", "math_text": "-155 - (-870) - (-39 - (4 + 4))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -155, \"b\": -870, \"c\": -39, \"d\": 4, \"e\": 4}", "seed": "1237288252797196650", "semantic_fingerprint": "sha256:372a09a946ae8503c4bb8a7483afbdf8ff702cef3505991b3ffa6ebf569a87f0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001038", "prompt": "What is (-5 + 96 - 0 / 98) / (-15)?", "solution_steps": ["Add: -5 + 96 = 91", "Divide: 0 / 98 = 0", "Subtract: 91 - 0 = 91", "Divide: 91 / (-15) = -91/15"], "final_answer": "-91/15", "answer_type": "rational", "kind": "expression", "math_text": "(-5 + 96 - 0 / 98) / (-15)", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 96, \"c\": 0, \"d\": 98, \"e\": -15}", "seed": "7555573233974094150", "semantic_fingerprint": "sha256:c9426119513cb0775cd5e29d0fba2e243dc69f34a199ba3672555c646e689137", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001039", "prompt": "Compute: (95 - 49) * (67 / 64)", "solution_steps": ["Subtract: 95 - 49 = 46", "Divide: 67 / 64 = 67/64", "Multiply: 46 * (67/64) = 1541/32"], "final_answer": "1541/32", "answer_type": "rational", "kind": "expression", "math_text": "(95 - 49) * (67 / 64)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": 49, \"c\": 67, \"d\": 64}", "seed": "10715898468175089014", "semantic_fingerprint": "sha256:4373dd61d9bc2ff400e0f97cf778b7d703e85b7ff4d167c156567b905cce300f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001040", "prompt": "Find x: 2(x + 2) - 52 = x - 44", "solution_steps": ["Expand: 2x + 4 - 52 = x - 44", "Combine constants: 2x - 48 = x - 44", "Subtract x from both sides: x - 48 = -44", "Add 48 to both sides: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 2) - 52 = x - 44", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 52, \"e\": -44, \"x\": 4}", "seed": "5735150642684585985", "semantic_fingerprint": "sha256:a8a5a63556ab9c5c9f1a10fec3bd97da09d7512a0fa21b89a2b1434d35416e3d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001041", "prompt": "Solve the equation 7x - 81 = -4(x + 106) + 541 for x.", "solution_steps": ["Expand: 7x - 81 = -4x - 424 + 541", "Combine constants: 7x - 81 = -4x + 117", "Add 4x to both sides: 11x - 81 = 117", "Add 81 to both sides: 11x = 198", "Divide both sides by 11: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 81 = -4(x + 106) + 541", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 81, \"c\": -4, \"d\": 106, \"f\": 541, \"x\": 18}", "seed": "3418263938554283411", "semantic_fingerprint": "sha256:17f7d267b64525ea9832d90b8c0bc000cf33bc12fe8b22ac30be4884c24ea1e0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001042", "prompt": "Compute: -8 * ((-5 - 75 / 68) / 6)", "solution_steps": ["Divide: 75 / 68 = 75/68", "Subtract: -5 - 75/68 = -415/68", "Divide: (-415/68) / 6 = -415/408", "Multiply: -8 * (-415/408) = 415/51"], "final_answer": "415/51", "answer_type": "rational", "kind": "expression", "math_text": "-8 * ((-5 - 75 / 68) / 6)", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -5, \"c\": 75, \"d\": 68, \"e\": 6}", "seed": "13091023561568135283", "semantic_fingerprint": "sha256:9920c20d6f14dc808ba82c1109c860a66fa305b15ed15d975d5d537aa9268668", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001043", "prompt": "Evaluate: (-92 - (-8) + 65) * (-67)", "solution_steps": ["Subtract: -92 - (-8) = -84", "Add: -84 + 65 = -19", "Multiply: -19 * (-67) = 1273"], "final_answer": "1273", "answer_type": "integer", "kind": "expression", "math_text": "(-92 - (-8) + 65) * (-67)", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": -8, \"c\": 65, \"d\": -67}", "seed": "4616475382987009570", "semantic_fingerprint": "sha256:cf3636e6edc576baf3f21102b75c4615733994d1c75c007e7bba8eb6223b3b7c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001044", "prompt": "What value of x satisfies 4(x - 63) - 496 = 6(x - 5) - 698?", "solution_steps": ["Expand: 4x - 252 - 496 = 6(x - 5) - 698", "Expand: 4x - 252 - 496 = 6x - 30 - 698", "Combine constants: 4x - 748 = 6x - 30 - 698", "Combine constants: 4x - 748 = 6x - 728", "Subtract 6x from both sides: -2x - 748 = -728", "Add 748 to both sides: -2x = 20", "Divide both sides by -2: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 63) - 496 = 6(x - 5) - 698", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 63, \"c\": 496, \"d\": 6, \"e\": 5, \"g\": -698, \"x\": -10}", "seed": "11140486014278088288", "semantic_fingerprint": "sha256:e9b3cb96c74173d26e3a698a5fea63431acc1170148a76fa80edb66bb79e2d5d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001045", "prompt": "Calculate: -36 + (-7) / (-812) / (-14)", "solution_steps": ["Divide: -7 / (-812) = 1/116", "Divide: (1/116) / (-14) = -1/1624", "Add: -36 + (-1/1624) = -58465/1624"], "final_answer": "-58465/1624", "answer_type": "rational", "kind": "expression", "math_text": "-36 + (-7) / (-812) / (-14)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": -7, \"c\": -812, \"d\": -14}", "seed": "1757944403497941861", "semantic_fingerprint": "sha256:f66c9f1f3a1d08c095630c85e1d19ea32a41a5c97f479499a900315370679909", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001046", "prompt": "Solve the equation 12(x - 23) + 99 = 10(x + 8) - 293 for x.", "solution_steps": ["Expand: 12x - 276 + 99 = 10(x + 8) - 293", "Expand: 12x - 276 + 99 = 10x + 80 - 293", "Combine constants: 12x - 177 = 10x + 80 - 293", "Combine constants: 12x - 177 = 10x - 213", "Subtract 10x from both sides: 2x - 177 = -213", "Add 177 to both sides: 2x = -36", "Divide both sides by 2: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 23) + 99 = 10(x + 8) - 293", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 23, \"c\": 99, \"d\": 10, \"e\": 8, \"g\": -293, \"x\": -18}", "seed": "8974797339042107654", "semantic_fingerprint": "sha256:58d09c8479d407fbbfe571f95e97082d19d1715bf5143c747911ba06e13784b9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001047", "prompt": "What is (-859 - 628) * (-1 * (-7))?", "solution_steps": ["Subtract: -859 - 628 = -1487", "Multiply: -1 * (-7) = 7", "Multiply: -1487 * 7 = -10409"], "final_answer": "-10409", "answer_type": "integer", "kind": "expression", "math_text": "(-859 - 628) * (-1 * (-7))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -859, \"b\": 628, \"c\": -1, \"d\": -7}", "seed": "15830659153654125184", "semantic_fingerprint": "sha256:d5e8803135e073a34f3a06ed181c717a523d8ea0a11554e5db5e794b57fd1bf9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001048", "prompt": "Calculate: (-1 - 30 - (61 - (-63))) * (-3)", "solution_steps": ["Subtract: -1 - 30 = -31", "Subtract: 61 - (-63) = 124", "Subtract: -31 - 124 = -155", "Multiply: -155 * (-3) = 465"], "final_answer": "465", "answer_type": "integer", "kind": "expression", "math_text": "(-1 - 30 - (61 - (-63))) * (-3)", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 30, \"c\": 61, \"d\": -63, \"e\": -3}", "seed": "6107492326024147766", "semantic_fingerprint": "sha256:a6aef7936aec6c52b9eca7789aa9804483855c869233c1031b0c08566907b1fb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001049", "prompt": "Evaluate: 65 + 8 / (-1 - 48)", "solution_steps": ["Subtract: -1 - 48 = -49", "Divide: 8 / (-49) = -8/49", "Add: 65 + (-8/49) = 3177/49"], "final_answer": "3177/49", "answer_type": "rational", "kind": "expression", "math_text": "65 + 8 / (-1 - 48)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 8, \"c\": -1, \"d\": 48}", "seed": "1073884811788373378", "semantic_fingerprint": "sha256:4e7e5a29854dd1ea09708b3bda2f2334d6b9acd53056dd556f8ee022a7862833", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001050", "prompt": "Find x: x - 2 = 11(x - 74) + 712", "solution_steps": ["Expand: x - 2 = 11x - 814 + 712", "Combine constants: x - 2 = 11x - 102", "Subtract 11x from both sides: -10x - 2 = -102", "Add 2 to both sides: -10x = -100", "Divide both sides by -10: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2 = 11(x - 74) + 712", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 11, \"c\": 74, \"e\": 712, \"x\": 10}", "seed": "11282837002125542111", "semantic_fingerprint": "sha256:69ee3ccddc06b6013242ad1fab3fa9520456b652094667858e02058c73e55a3c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001051", "prompt": "Solve the equation 11(x - 28) + 59 = 10x + 524 for x.", "solution_steps": ["Expand: 11x - 308 + 59 = 10x + 524", "Combine constants: 11x - 249 = 10x + 524", "Subtract 10x from both sides: x - 249 = 524", "Add 249 to both sides: x = 773"], "final_answer": "773", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 28) + 59 = 10x + 524", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 28, \"c\": 59, \"d\": 10, \"e\": 524}", "seed": "13342129524179236876", "semantic_fingerprint": "sha256:767d6060e532641c9ed3a3708eda67b0bd0c6550586d9b4b7e2e9867cd712414", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001052", "prompt": "Compute: (-92 - 633) * 2 - (-557) / 93 - 9", "solution_steps": ["Subtract: -92 - 633 = -725", "Multiply: -725 * 2 = -1450", "Divide: -557 / 93 = -557/93", "Subtract: -1450 - (-557/93) = -134293/93", "Subtract: -134293/93 - 9 = -135130/93"], "final_answer": "-135130/93", "answer_type": "rational", "kind": "expression", "math_text": "(-92 - 633) * 2 - (-557) / 93 - 9", "variable": null, "family": "expression_5op", "shape": "(- (- (* (- n n) n) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 633, \"c\": 2, \"d\": -557, \"e\": 93, \"f\": 9}", "seed": "1582039105879834590", "semantic_fingerprint": "sha256:b96a37a955a3f8fadbe8539284b22705bf8693b322f99383172bdb4327b25545", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001053", "prompt": "Evaluate: (-447 * (-10) + (-595)) * (-97)", "solution_steps": ["Multiply: -447 * (-10) = 4470", "Add: 4470 + (-595) = 3875", "Multiply: 3875 * (-97) = -375875"], "final_answer": "-375875", "answer_type": "integer", "kind": "expression", "math_text": "(-447 * (-10) + (-595)) * (-97)", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -447, \"b\": -10, \"c\": -595, \"d\": -97}", "seed": "11374885198125053213", "semantic_fingerprint": "sha256:8c9fa4aeb28ec140be72ddd67d301396b59b6cd8632a6d0e54f319b933863fa3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001054", "prompt": "Compute: (82 - (-58)) / (-44 * 3)", "solution_steps": ["Subtract: 82 - (-58) = 140", "Multiply: -44 * 3 = -132", "Divide: 140 / (-132) = -35/33"], "final_answer": "-35/33", "answer_type": "rational", "kind": "expression", "math_text": "(82 - (-58)) / (-44 * 3)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": -58, \"c\": -44, \"d\": 3}", "seed": "10671800131530111831", "semantic_fingerprint": "sha256:e5b0a5fc051dbfaf7c1c9190430b26b799018f05121223bd70c130a168d86eab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001055", "prompt": "Solve for x: 7x - 7 = -6(x + 65) + 23", "solution_steps": ["Expand: 7x - 7 = -6x - 390 + 23", "Combine constants: 7x - 7 = -6x - 367", "Add 6x to both sides: 13x - 7 = -367", "Add 7 to both sides: 13x = -360", "Divide both sides by 13: x = -360/13"], "final_answer": "-360/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x - 7 = -6(x + 65) + 23", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": -6, \"d\": 65, \"e\": 23}", "seed": "3875204558142844937", "semantic_fingerprint": "sha256:ba9c65cfd9a9debfbbe47d212da7d263da5c643ff347909c9a1ef22f7fcb18ac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001056", "prompt": "What is (8 - (-24 - (-70) / 44)) * 6 / (-383)?", "solution_steps": ["Divide: -70 / 44 = -35/22", "Subtract: -24 - (-35/22) = -493/22", "Subtract: 8 - (-493/22) = 669/22", "Multiply: (669/22) * 6 = 2007/11", "Divide: (2007/11) / (-383) = -2007/4213"], "final_answer": "-2007/4213", "answer_type": "rational", "kind": "expression", "math_text": "(8 - (-24 - (-70) / 44)) * 6 / (-383)", "variable": null, "family": "expression_5op", "shape": "(/ (* (- n (- n (/ n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -24, \"c\": -70, \"d\": 44, \"e\": 6, \"f\": -383}", "seed": "10830605267749488898", "semantic_fingerprint": "sha256:44a0f3c48f24c5839571914b7796a994d8fd8c6444c1f072c5a34e56b87c1d9c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001057", "prompt": "What is -22 / (-3 - (-374) - 93)?", "solution_steps": ["Subtract: -3 - (-374) = 371", "Subtract: 371 - 93 = 278", "Divide: -22 / 278 = -11/139"], "final_answer": "-11/139", "answer_type": "rational", "kind": "expression", "math_text": "-22 / (-3 - (-374) - 93)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": -3, \"c\": -374, \"d\": 93}", "seed": "11719862370466769451", "semantic_fingerprint": "sha256:8b579835dbd4768b4b1c152f103b966be0a2822e3424909c81874d5e13f723d3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001058", "prompt": "What is (-8 + 898 + 871) * 49?", "solution_steps": ["Add: -8 + 898 = 890", "Add: 890 + 871 = 1761", "Multiply: 1761 * 49 = 86289"], "final_answer": "86289", "answer_type": "integer", "kind": "expression", "math_text": "(-8 + 898 + 871) * 49", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 898, \"c\": 871, \"d\": 49}", "seed": "11278043322848099242", "semantic_fingerprint": "sha256:dcd97de3d658b75e70b7d9b70216facd550551d9a036079d8fa5065279d55272", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001059", "prompt": "Solve the equation -5(x - 44) + 6 = 9(x + 68) - 93 for x.", "solution_steps": ["Expand: -5x + 220 + 6 = 9(x + 68) - 93", "Expand: -5x + 220 + 6 = 9x + 612 - 93", "Combine constants: -5x + 226 = 9x + 612 - 93", "Combine constants: -5x + 226 = 9x + 519", "Subtract 9x from both sides: -14x + 226 = 519", "Subtract 226 from both sides: -14x = 293", "Divide both sides by -14: x = -293/14"], "final_answer": "-293/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 44) + 6 = 9(x + 68) - 93", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 44, \"c\": 6, \"d\": 9, \"e\": 68, \"f\": 93}", "seed": "17479222496095306494", "semantic_fingerprint": "sha256:b96db67c690c7b3ca0ad5c267f033c70a96686490e67af034acf200546c04cc3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001060", "prompt": "What is (0 + (-609)) / (-972 / 98)?", "solution_steps": ["Add: 0 + (-609) = -609", "Divide: -972 / 98 = -486/49", "Divide: -609 / (-486/49) = 9947/162"], "final_answer": "9947/162", "answer_type": "rational", "kind": "expression", "math_text": "(0 + (-609)) / (-972 / 98)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -609, \"c\": -972, \"d\": 98}", "seed": "12892092753250022904", "semantic_fingerprint": "sha256:626d22012849fd4ea58d807906b8cb8732a2c2fc0d5193c5402753fc1d311d7f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001061", "prompt": "Evaluate: (6 / 38 - (-33)) * (-31) + (-78) - (-4)", "solution_steps": ["Divide: 6 / 38 = 3/19", "Subtract: 3/19 - (-33) = 630/19", "Multiply: (630/19) * (-31) = -19530/19", "Add: -19530/19 + (-78) = -21012/19", "Subtract: -21012/19 - (-4) = -20936/19"], "final_answer": "-20936/19", "answer_type": "rational", "kind": "expression", "math_text": "(6 / 38 - (-33)) * (-31) + (-78) - (-4)", "variable": null, "family": "expression_5op", "shape": "(- (+ (* (- (/ n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 38, \"c\": -33, \"d\": -31, \"e\": -78, \"f\": -4}", "seed": "17794762995613534073", "semantic_fingerprint": "sha256:aef1e2969a3d4b1c87397307603016cac24a2ea1068a10d917f4a3ebe8223f4b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001062", "prompt": "Solve for x: -10(x + 9) - 63 = x - 21", "solution_steps": ["Expand: -10x - 90 - 63 = x - 21", "Combine constants: -10x - 153 = x - 21", "Subtract x from both sides: -11x - 153 = -21", "Add 153 to both sides: -11x = 132", "Divide both sides by -11: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 9) - 63 = x - 21", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 9, \"c\": 63, \"e\": -21, \"x\": -12}", "seed": "3688225682128207234", "semantic_fingerprint": "sha256:9eaedc98ce434b0bd5f35b6c6e39fdf323ea5eb1097b6cc103891b9071ab118f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001063", "prompt": "Find x: 8x - 110 = -7(x + 51) + 427", "solution_steps": ["Expand: 8x - 110 = -7x - 357 + 427", "Combine constants: 8x - 110 = -7x + 70", "Add 7x to both sides: 15x - 110 = 70", "Add 110 to both sides: 15x = 180", "Divide both sides by 15: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 110 = -7(x + 51) + 427", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 110, \"c\": -7, \"d\": 51, \"f\": 427, \"x\": 12}", "seed": "3615606997969422775", "semantic_fingerprint": "sha256:a7fe1059a993b50b50732cef6630cb6a5b0c7f7d9726527e739756a7f94b74d2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001064", "prompt": "Solve for x: 3(x + 3) + 212 = 2(x + 42) - 8", "solution_steps": ["Expand: 3x + 9 + 212 = 2(x + 42) - 8", "Expand: 3x + 9 + 212 = 2x + 84 - 8", "Combine constants: 3x + 221 = 2x + 84 - 8", "Combine constants: 3x + 221 = 2x + 76", "Subtract 2x from both sides: x + 221 = 76", "Subtract 221 from both sides: x = -145"], "final_answer": "-145", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 3) + 212 = 2(x + 42) - 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 212, \"d\": 2, \"e\": 42, \"f\": 8}", "seed": "2071933273718093389", "semantic_fingerprint": "sha256:e767b679614650ba74109c4252943f10fe75dce4732e0f433e2fe48ae333b52c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001065", "prompt": "Solve the equation 5(x - 72) - 2 = 12(x - 3) - 8 for x.", "solution_steps": ["Expand: 5x - 360 - 2 = 12(x - 3) - 8", "Expand: 5x - 360 - 2 = 12x - 36 - 8", "Combine constants: 5x - 362 = 12x - 36 - 8", "Combine constants: 5x - 362 = 12x - 44", "Subtract 12x from both sides: -7x - 362 = -44", "Add 362 to both sides: -7x = 318", "Divide both sides by -7: x = -318/7"], "final_answer": "-318/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 72) - 2 = 12(x - 3) - 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 72, \"c\": 2, \"d\": 12, \"e\": 3, \"f\": 8}", "seed": "441813399046732671", "semantic_fingerprint": "sha256:b9ff8683f0f4c3463a72f51648b7336baf283daf368e3eae3360f230e67e0c8f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001066", "prompt": "What is -46 * (777 / (-91) / 21)?", "solution_steps": ["Divide: 777 / (-91) = -111/13", "Divide: (-111/13) / 21 = -37/91", "Multiply: -46 * (-37/91) = 1702/91"], "final_answer": "1702/91", "answer_type": "rational", "kind": "expression", "math_text": "-46 * (777 / (-91) / 21)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": 777, \"c\": -91, \"d\": 21}", "seed": "10115488388556426405", "semantic_fingerprint": "sha256:ab9f67c6b61d9f1146ffd1d2e60807f18e0f98211472e93b26526faf2e38a8de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001067", "prompt": "Compute: 52 + (-83 + 0) - (-44)", "solution_steps": ["Add: -83 + 0 = -83", "Add: 52 + (-83) = -31", "Subtract: -31 - (-44) = 13"], "final_answer": "13", "answer_type": "integer", "kind": "expression", "math_text": "52 + (-83 + 0) - (-44)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": -83, \"c\": 0, \"d\": -44}", "seed": "9775474060096563413", "semantic_fingerprint": "sha256:e611aa2b7c1bd032cada54366da38515ed5d66373ffeeb24c602b9aa1e395396", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001068", "prompt": "Calculate: (-782 + 434) / (91 * (-71) - (920 - (-3)))", "solution_steps": ["Add: -782 + 434 = -348", "Multiply: 91 * (-71) = -6461", "Subtract: 920 - (-3) = 923", "Subtract: -6461 - 923 = -7384", "Divide: -348 / (-7384) = 87/1846"], "final_answer": "87/1846", "answer_type": "rational", "kind": "expression", "math_text": "(-782 + 434) / (91 * (-71) - (920 - (-3)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (- (* n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -782, \"b\": 434, \"c\": 91, \"d\": -71, \"e\": 920, \"f\": -3}", "seed": "6247317745810376327", "semantic_fingerprint": "sha256:10f1e19b8711e44bf1ba237c65045fd885b4b27b225b218bd479d1bc8e2d0bd2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001069", "prompt": "Solve for x: -9(x - 4) - 54 = 6(x - 43)", "solution_steps": ["Expand: -9x + 36 - 54 = 6(x - 43)", "Expand: -9x + 36 - 54 = 6x - 258", "Combine constants: -9x - 18 = 6x - 258", "Subtract 6x from both sides: -15x - 18 = -258", "Add 18 to both sides: -15x = -240", "Divide both sides by -15: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 4) - 54 = 6(x - 43)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 4, \"c\": 6, \"d\": 43, \"f\": -54, \"x\": 16}", "seed": "4911003896188483984", "semantic_fingerprint": "sha256:59eb8f62ff82c02fdee9e3e32c7d42622fe685870d33b55e7f2134694bce085b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001070", "prompt": "Solve the equation x - 354 = 5(x - 127) + 297 for x.", "solution_steps": ["Expand: x - 354 = 5x - 635 + 297", "Combine constants: x - 354 = 5x - 338", "Subtract 5x from both sides: -4x - 354 = -338", "Add 354 to both sides: -4x = 16", "Divide both sides by -4: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 354 = 5(x - 127) + 297", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 354, \"b\": 5, \"c\": 127, \"e\": 297, \"x\": -4}", "seed": "7126186923138052504", "semantic_fingerprint": "sha256:3e5e9833bd29cd86e5f4d74942b5290d67c1a4f9c0701b03cc7e278fdd2b0a18", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001071", "prompt": "Calculate: (21 + (-748) / (-16)) * (5 / (-63) / (-3))", "solution_steps": ["Divide: -748 / (-16) = 187/4", "Add: 21 + 187/4 = 271/4", "Divide: 5 / (-63) = -5/63", "Divide: (-5/63) / (-3) = 5/189", "Multiply: (271/4) * (5/189) = 1355/756"], "final_answer": "1355/756", "answer_type": "rational", "kind": "expression", "math_text": "(21 + (-748) / (-16)) * (5 / (-63) / (-3))", "variable": null, "family": "expression_5op", "shape": "(* (+ n (/ n n)) (/ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": -748, \"c\": -16, \"d\": 5, \"e\": -63, \"f\": -3}", "seed": "6780483282064842618", "semantic_fingerprint": "sha256:16051df4ef0fec3a730700da154bda31a2b9269c16de4626d63e9b68d7980526", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001072", "prompt": "Evaluate: (33 + 186 + (-13)) * 71", "solution_steps": ["Add: 33 + 186 = 219", "Add: 219 + (-13) = 206", "Multiply: 206 * 71 = 14626"], "final_answer": "14626", "answer_type": "integer", "kind": "expression", "math_text": "(33 + 186 + (-13)) * 71", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 186, \"c\": -13, \"d\": 71}", "seed": "18133937379308126027", "semantic_fingerprint": "sha256:46122a21edadd0396119c1e9754cad8ed4d417d3e8a0231cc30ba8b6e7caf0a2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001073", "prompt": "Evaluate: (-220 + (-3) * (-13)) * (-19 - 5)", "solution_steps": ["Multiply: -3 * (-13) = 39", "Add: -220 + 39 = -181", "Subtract: -19 - 5 = -24", "Multiply: -181 * (-24) = 4344"], "final_answer": "4344", "answer_type": "integer", "kind": "expression", "math_text": "(-220 + (-3) * (-13)) * (-19 - 5)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -220, \"b\": -3, \"c\": -13, \"d\": -19, \"e\": 5}", "seed": "9781039836839283609", "semantic_fingerprint": "sha256:4d37c1739f350712f7e926151bf7db4b57706f4c353ce0deb8582afe09c78c6c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001074", "prompt": "What is 194 + (-80 * (-52) + (-183) * 53)?", "solution_steps": ["Multiply: -80 * (-52) = 4160", "Multiply: -183 * 53 = -9699", "Add: 4160 + (-9699) = -5539", "Add: 194 + (-5539) = -5345"], "final_answer": "-5345", "answer_type": "integer", "kind": "expression", "math_text": "194 + (-80 * (-52) + (-183) * 53)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 194, \"b\": -80, \"c\": -52, \"d\": -183, \"e\": 53}", "seed": "7703098367181580845", "semantic_fingerprint": "sha256:1d7ed9620c498f21400284ee6529f121a09020bd51e94ec76c0413a0c31e16e2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001075", "prompt": "What is 687 * (-8) - (33 - 64) * (-8)?", "solution_steps": ["Multiply: 687 * (-8) = -5496", "Subtract: 33 - 64 = -31", "Multiply: -31 * (-8) = 248", "Subtract: -5496 - 248 = -5744"], "final_answer": "-5744", "answer_type": "integer", "kind": "expression", "math_text": "687 * (-8) - (33 - 64) * (-8)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 687, \"b\": -8, \"c\": 33, \"d\": 64, \"e\": -8}", "seed": "6106871336490026969", "semantic_fingerprint": "sha256:b1c42cd0e5ddd9e39fae58b74ff00604ea487bd3de0498b7b5eaa29c2c9d3150", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001076", "prompt": "What is -6 * (8 * (820 - 7))?", "solution_steps": ["Subtract: 820 - 7 = 813", "Multiply: 8 * 813 = 6504", "Multiply: -6 * 6504 = -39024"], "final_answer": "-39024", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (8 * (820 - 7))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 8, \"c\": 820, \"d\": 7}", "seed": "8266598883915389943", "semantic_fingerprint": "sha256:da715a2c363eeb0df8e020c26dbf3f6242942e10bc42cad5cc351d5aa4f3eb71", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001077", "prompt": "Compute: -687 * 0 - (-9) - (-7 - (85 + 302))", "solution_steps": ["Multiply: -687 * 0 = 0", "Subtract: 0 - (-9) = 9", "Add: 85 + 302 = 387", "Subtract: -7 - 387 = -394", "Subtract: 9 - (-394) = 403"], "final_answer": "403", "answer_type": "integer", "kind": "expression", "math_text": "-687 * 0 - (-9) - (-7 - (85 + 302))", "variable": null, "family": "expression_5op", "shape": "(- (- (* n n) n) (- n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -687, \"b\": 0, \"c\": -9, \"d\": -7, \"e\": 85, \"f\": 302}", "seed": "8165792652931588026", "semantic_fingerprint": "sha256:8702a6a9232beeb85483aedd608f45829e9b575b0a86fa65492a63de0d23653e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001078", "prompt": "Solve the equation 7(x - 10) + 7 = -3x + 95 for x.", "solution_steps": ["Expand: 7x - 70 + 7 = -3x + 95", "Combine constants: 7x - 63 = -3x + 95", "Add 3x to both sides: 10x - 63 = 95", "Add 63 to both sides: 10x = 158", "Divide both sides by 10: x = 79/5"], "final_answer": "79/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 10) + 7 = -3x + 95", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 10, \"c\": 7, \"d\": -3, \"e\": 95}", "seed": "12437844471454983369", "semantic_fingerprint": "sha256:723bb189117674e392bd5f50390d1cd894e358bc89ee9ea4ced9c42070e81cc0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001079", "prompt": "Evaluate: 67 * (91 * 2) - 73", "solution_steps": ["Multiply: 91 * 2 = 182", "Multiply: 67 * 182 = 12194", "Subtract: 12194 - 73 = 12121"], "final_answer": "12121", "answer_type": "integer", "kind": "expression", "math_text": "67 * (91 * 2) - 73", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 91, \"c\": 2, \"d\": 73}", "seed": "12483151951426496460", "semantic_fingerprint": "sha256:e4542003c96396621e41057cb4e83a8d427d747ce39b4e058c2630ac3737d766", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001080", "prompt": "Evaluate: 475 + (-278 * 91 + (-3)) - (126 + 858)", "solution_steps": ["Multiply: -278 * 91 = -25298", "Add: -25298 + (-3) = -25301", "Add: 475 + (-25301) = -24826", "Add: 126 + 858 = 984", "Subtract: -24826 - 984 = -25810"], "final_answer": "-25810", "answer_type": "integer", "kind": "expression", "math_text": "475 + (-278 * 91 + (-3)) - (126 + 858)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (+ (* n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 475, \"b\": -278, \"c\": 91, \"d\": -3, \"e\": 126, \"f\": 858}", "seed": "239619285044066391", "semantic_fingerprint": "sha256:d02fbe98e421efb90bf83c618f2d50a91eb046eee8695f69ef13f7d2e3d4fc50", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001081", "prompt": "Calculate: 0 + 73 - (-226) / 28 + (-763)", "solution_steps": ["Add: 0 + 73 = 73", "Divide: -226 / 28 = -113/14", "Subtract: 73 - (-113/14) = 1135/14", "Add: 1135/14 + (-763) = -9547/14"], "final_answer": "-9547/14", "answer_type": "rational", "kind": "expression", "math_text": "0 + 73 - (-226) / 28 + (-763)", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 73, \"c\": -226, \"d\": 28, \"e\": -763}", "seed": "8104476344003392758", "semantic_fingerprint": "sha256:dd0fd74e05254db1b3ecd1da829444dc845105c843b30625e1adc873ebb0deb9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001082", "prompt": "Calculate: -19 * (731 - 0 + (-7) * (-70))", "solution_steps": ["Subtract: 731 - 0 = 731", "Multiply: -7 * (-70) = 490", "Add: 731 + 490 = 1221", "Multiply: -19 * 1221 = -23199"], "final_answer": "-23199", "answer_type": "integer", "kind": "expression", "math_text": "-19 * (731 - 0 + (-7) * (-70))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (- n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": 731, \"c\": 0, \"d\": -7, \"e\": -70}", "seed": "17236593419673578332", "semantic_fingerprint": "sha256:e5a965ec1a0b25619e401225ed40cb5fcc328b9903306643afa83675962ff356", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001083", "prompt": "What value of x satisfies 2x - 8 = -12(x + 31) + 252?", "solution_steps": ["Expand: 2x - 8 = -12x - 372 + 252", "Combine constants: 2x - 8 = -12x - 120", "Add 12x to both sides: 14x - 8 = -120", "Add 8 to both sides: 14x = -112", "Divide both sides by 14: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 8 = -12(x + 31) + 252", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": -12, \"d\": 31, \"f\": 252, \"x\": -8}", "seed": "8067379103427004108", "semantic_fingerprint": "sha256:67ac0601b7d7502bbb680cd35bb6aab5c187b368ba1313a338058669c0a8d214", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001084", "prompt": "Evaluate: -5 - 6 / (7 / 20)", "solution_steps": ["Divide: 7 / 20 = 7/20", "Divide: 6 / (7/20) = 120/7", "Subtract: -5 - 120/7 = -155/7"], "final_answer": "-155/7", "answer_type": "rational", "kind": "expression", "math_text": "-5 - 6 / (7 / 20)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 6, \"c\": 7, \"d\": 20}", "seed": "5380360999532808626", "semantic_fingerprint": "sha256:7b21a5d08c43d63a52100903a561344c569941655440df55872769f45a7ac176", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001085", "prompt": "Find x: 10(x + 63) - 809 = x - 62", "solution_steps": ["Expand: 10x + 630 - 809 = x - 62", "Combine constants: 10x - 179 = x - 62", "Subtract x from both sides: 9x - 179 = -62", "Add 179 to both sides: 9x = 117", "Divide both sides by 9: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 63) - 809 = x - 62", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 63, \"c\": 809, \"e\": -62, \"x\": 13}", "seed": "17511426529904800243", "semantic_fingerprint": "sha256:a4211536d3ab3be16a830fcf4e0e87421bff5f343e155c0e66ed531e2742a5d7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001086", "prompt": "Solve the equation -4(x + 4) - 74 = x - 603 for x.", "solution_steps": ["Expand: -4x - 16 - 74 = x - 603", "Combine constants: -4x - 90 = x - 603", "Subtract x from both sides: -5x - 90 = -603", "Add 90 to both sides: -5x = -513", "Divide both sides by -5: x = 513/5"], "final_answer": "513/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 4) - 74 = x - 603", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 4, \"c\": 74, \"d\": 603}", "seed": "14210787206834227082", "semantic_fingerprint": "sha256:8329bee09cbcec5e78f979dc10e38841254093233a331f698c456e089122158b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001087", "prompt": "Evaluate: -291 + (1 + 9) - (-414)", "solution_steps": ["Add: 1 + 9 = 10", "Add: -291 + 10 = -281", "Subtract: -281 - (-414) = 133"], "final_answer": "133", "answer_type": "integer", "kind": "expression", "math_text": "-291 + (1 + 9) - (-414)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -291, \"b\": 1, \"c\": 9, \"d\": -414}", "seed": "8569483902941818185", "semantic_fingerprint": "sha256:887f2f79c67cecec1445a97dd5d839d1779b84c2f14d48e68200b3412d4867bc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001088", "prompt": "Evaluate: 740 - (38 + 8 + 85) + 19", "solution_steps": ["Add: 38 + 8 = 46", "Add: 46 + 85 = 131", "Subtract: 740 - 131 = 609", "Add: 609 + 19 = 628"], "final_answer": "628", "answer_type": "integer", "kind": "expression", "math_text": "740 - (38 + 8 + 85) + 19", "variable": null, "family": "expression_4op", "shape": "(+ (- n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 740, \"b\": 38, \"c\": 8, \"d\": 85, \"e\": 19}", "seed": "15671368089354852010", "semantic_fingerprint": "sha256:37b28f494a01aa3b45f1c093cbf6a6fdb3e289f25609277c304ea9f810f25dd8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001089", "prompt": "Compute: 34 / 134 - 53 + (0 + (-63))", "solution_steps": ["Divide: 34 / 134 = 17/67", "Subtract: 17/67 - 53 = -3534/67", "Add: 0 + (-63) = -63", "Add: -3534/67 + (-63) = -7755/67"], "final_answer": "-7755/67", "answer_type": "rational", "kind": "expression", "math_text": "34 / 134 - 53 + (0 + (-63))", "variable": null, "family": "expression_4op", "shape": "(+ (- (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": 134, \"c\": 53, \"d\": 0, \"e\": -63}", "seed": "12636607534507205251", "semantic_fingerprint": "sha256:661c1e28671c62f7c6c3410668865ff9cafff22a4923350accfcfcc915108b6d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001090", "prompt": "Calculate: -7 - (-866) / (198 / 5)", "solution_steps": ["Divide: 198 / 5 = 198/5", "Divide: -866 / (198/5) = -2165/99", "Subtract: -7 - (-2165/99) = 1472/99"], "final_answer": "1472/99", "answer_type": "rational", "kind": "expression", "math_text": "-7 - (-866) / (198 / 5)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -866, \"c\": 198, \"d\": 5}", "seed": "17529054887009432511", "semantic_fingerprint": "sha256:ecb59b4447d7c878c1510b50672f6cf8d81d66e778da7384d29f4803a0a4e544", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001091", "prompt": "Evaluate: -6 / 234 * (-35) / 34 * 758", "solution_steps": ["Divide: -6 / 234 = -1/39", "Multiply: (-1/39) * (-35) = 35/39", "Divide: (35/39) / 34 = 35/1326", "Multiply: (35/1326) * 758 = 13265/663"], "final_answer": "13265/663", "answer_type": "rational", "kind": "expression", "math_text": "-6 / 234 * (-35) / 34 * 758", "variable": null, "family": "expression_4op", "shape": "(* (/ (* (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 234, \"c\": -35, \"d\": 34, \"e\": 758}", "seed": "17181558088564549692", "semantic_fingerprint": "sha256:6cc26da45cca1fa133f1753597c464bc2ff076e866965a3c5517a50b91030e4c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001092", "prompt": "Evaluate: (494 - (-90)) * (35 * 2)", "solution_steps": ["Subtract: 494 - (-90) = 584", "Multiply: 35 * 2 = 70", "Multiply: 584 * 70 = 40880"], "final_answer": "40880", "answer_type": "integer", "kind": "expression", "math_text": "(494 - (-90)) * (35 * 2)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 494, \"b\": -90, \"c\": 35, \"d\": 2}", "seed": "2984152490618010727", "semantic_fingerprint": "sha256:d41b64474a983ac386a4aef6a0a9c049218d909fced95cfbd5b295012bc1c5b5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001093", "prompt": "Compute: 2 - 12 + 215 + (-882) * (-96)", "solution_steps": ["Subtract: 2 - 12 = -10", "Add: -10 + 215 = 205", "Multiply: -882 * (-96) = 84672", "Add: 205 + 84672 = 84877"], "final_answer": "84877", "answer_type": "integer", "kind": "expression", "math_text": "2 - 12 + 215 + (-882) * (-96)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 12, \"c\": 215, \"d\": -882, \"e\": -96}", "seed": "17402339555611695333", "semantic_fingerprint": "sha256:b28308a2d60fdef76d20a59f253011824668e80db75f730fd7703065522bddd0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001094", "prompt": "Compute: -952 * (-6 - (-38)) + (95 / 1 + 93)", "solution_steps": ["Subtract: -6 - (-38) = 32", "Multiply: -952 * 32 = -30464", "Divide: 95 / 1 = 95", "Add: 95 + 93 = 188", "Add: -30464 + 188 = -30276"], "final_answer": "-30276", "answer_type": "integer", "kind": "expression", "math_text": "-952 * (-6 - (-38)) + (95 / 1 + 93)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (- n n)) (+ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -952, \"b\": -6, \"c\": -38, \"d\": 95, \"e\": 1, \"f\": 93}", "seed": "15725141685842936444", "semantic_fingerprint": "sha256:550cf9a10c3a091085144c8189976f41be959f60d7d2ec857a2eece7ea1cc377", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001095", "prompt": "Evaluate: 31 * (-184) / (4 + 1)", "solution_steps": ["Multiply: 31 * (-184) = -5704", "Add: 4 + 1 = 5", "Divide: -5704 / 5 = -5704/5"], "final_answer": "-5704/5", "answer_type": "rational", "kind": "expression", "math_text": "31 * (-184) / (4 + 1)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": -184, \"c\": 4, \"d\": 1}", "seed": "16877802537747822718", "semantic_fingerprint": "sha256:0611f4acb3e1be767d945406bdb1e0e86ccd184807eba0f6101500388cf2331d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001096", "prompt": "What is -201 + 38 / 32 / 29?", "solution_steps": ["Divide: 38 / 32 = 19/16", "Divide: (19/16) / 29 = 19/464", "Add: -201 + 19/464 = -93245/464"], "final_answer": "-93245/464", "answer_type": "rational", "kind": "expression", "math_text": "-201 + 38 / 32 / 29", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -201, \"b\": 38, \"c\": 32, \"d\": 29}", "seed": "6794731215685361442", "semantic_fingerprint": "sha256:308251a338a5ce88bebfd4294b7d42aaa3e7d1052943113b33cea1daa55cfc79", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001097", "prompt": "Evaluate: (-15 + (-62) + 3) * 8", "solution_steps": ["Add: -15 + (-62) = -77", "Add: -77 + 3 = -74", "Multiply: -74 * 8 = -592"], "final_answer": "-592", "answer_type": "integer", "kind": "expression", "math_text": "(-15 + (-62) + 3) * 8", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": -62, \"c\": 3, \"d\": 8}", "seed": "5255313846543927153", "semantic_fingerprint": "sha256:86691c18adab05e60db0f0dc66c5ee53dabd129aed67bd6e884aa27f58bd36b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001098", "prompt": "Solve for x: x - 5 = 3(x - 56) + 189", "solution_steps": ["Expand: x - 5 = 3x - 168 + 189", "Combine constants: x - 5 = 3x + 21", "Subtract 3x from both sides: -2x - 5 = 21", "Add 5 to both sides: -2x = 26", "Divide both sides by -2: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5 = 3(x - 56) + 189", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 56, \"e\": 189, \"x\": -13}", "seed": "7475492119181367911", "semantic_fingerprint": "sha256:95e2bfe89b8877ace58d19becf3fc7a9a0c000aa77ab271f4b5056e256546666", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001099", "prompt": "Compute: 711 - (-5 - (99 - (-62)))", "solution_steps": ["Subtract: 99 - (-62) = 161", "Subtract: -5 - 161 = -166", "Subtract: 711 - (-166) = 877"], "final_answer": "877", "answer_type": "integer", "kind": "expression", "math_text": "711 - (-5 - (99 - (-62)))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 711, \"b\": -5, \"c\": 99, \"d\": -62}", "seed": "6694851416047147600", "semantic_fingerprint": "sha256:77d8a81c49e86f35e83a9144f9afef9cb359fb001dabb01f433909778ef66277", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001100", "prompt": "Calculate: 490 * (-26 / 8 / 2)", "solution_steps": ["Divide: -26 / 8 = -13/4", "Divide: (-13/4) / 2 = -13/8", "Multiply: 490 * (-13/8) = -3185/4"], "final_answer": "-3185/4", "answer_type": "rational", "kind": "expression", "math_text": "490 * (-26 / 8 / 2)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 490, \"b\": -26, \"c\": 8, \"d\": 2}", "seed": "15561487174817181624", "semantic_fingerprint": "sha256:53a6ddf5ea6948dd590de76c8068a07db5b2fa22667e16011e3021ba548e1e7f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001101", "prompt": "Solve for x: -5(x + 36) - 9 = x - 66", "solution_steps": ["Expand: -5x - 180 - 9 = x - 66", "Combine constants: -5x - 189 = x - 66", "Subtract x from both sides: -6x - 189 = -66", "Add 189 to both sides: -6x = 123", "Divide both sides by -6: x = -41/2"], "final_answer": "-41/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 36) - 9 = x - 66", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 36, \"c\": 9, \"d\": 66}", "seed": "14896814476300973300", "semantic_fingerprint": "sha256:d3b0965ec2a21958c9000bcb7e0877610a34240625312e9ba405c9781b6a7e45", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001102", "prompt": "Solve for x: -12(x - 614) + 31 = 9(x - 864)", "solution_steps": ["Expand: -12x + 7368 + 31 = 9(x - 864)", "Expand: -12x + 7368 + 31 = 9x - 7776", "Combine constants: -12x + 7399 = 9x - 7776", "Subtract 9x from both sides: -21x + 7399 = -7776", "Subtract 7399 from both sides: -21x = -15175", "Divide both sides by -21: x = 15175/21"], "final_answer": "15175/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 614) + 31 = 9(x - 864)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 614, \"c\": 31, \"d\": 9, \"e\": 864}", "seed": "4178645121029728944", "semantic_fingerprint": "sha256:fb199590788e171924926e3cbf9cbf2fd4d100b6ddd5c9af54ba57f265250464", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001103", "prompt": "What is (925 - 375) / (-20 + 86) / (54 / (-7))?", "solution_steps": ["Subtract: 925 - 375 = 550", "Add: -20 + 86 = 66", "Divide: 550 / 66 = 25/3", "Divide: 54 / (-7) = -54/7", "Divide: (25/3) / (-54/7) = -175/162"], "final_answer": "-175/162", "answer_type": "rational", "kind": "expression", "math_text": "(925 - 375) / (-20 + 86) / (54 / (-7))", "variable": null, "family": "expression_5op", "shape": "(/ (/ (- n n) (+ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 925, \"b\": 375, \"c\": -20, \"d\": 86, \"e\": 54, \"f\": -7}", "seed": "18179275136407190559", "semantic_fingerprint": "sha256:8659579abf9c0611757b5691e955bbd67173c6ebbb783624fc03feffdc185b0f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001104", "prompt": "Evaluate: -692 * (4 * 3 + 1) + 9", "solution_steps": ["Multiply: 4 * 3 = 12", "Add: 12 + 1 = 13", "Multiply: -692 * 13 = -8996", "Add: -8996 + 9 = -8987"], "final_answer": "-8987", "answer_type": "integer", "kind": "expression", "math_text": "-692 * (4 * 3 + 1) + 9", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -692, \"b\": 4, \"c\": 3, \"d\": 1, \"e\": 9}", "seed": "1674082074209272791", "semantic_fingerprint": "sha256:de93885cb4c48d94e5b32c15705a2f76cb4daa0c02ffa56381233008f3c1b94c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001105", "prompt": "Find x: 7x - 4 = -2(x + 67) + 292", "solution_steps": ["Expand: 7x - 4 = -2x - 134 + 292", "Combine constants: 7x - 4 = -2x + 158", "Add 2x to both sides: 9x - 4 = 158", "Add 4 to both sides: 9x = 162", "Divide both sides by 9: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 4 = -2(x + 67) + 292", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": -2, \"d\": 67, \"f\": 292, \"x\": 18}", "seed": "316604041781094236", "semantic_fingerprint": "sha256:fd088f6377a7be411f9b59e088872375e49ed4d8be4bf99e29c3d1ae6e05afe4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001106", "prompt": "Evaluate: -336 * (-79) / (-72 + 64)", "solution_steps": ["Multiply: -336 * (-79) = 26544", "Add: -72 + 64 = -8", "Divide: 26544 / (-8) = -3318"], "final_answer": "-3318", "answer_type": "integer", "kind": "expression", "math_text": "-336 * (-79) / (-72 + 64)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -336, \"b\": -79, \"c\": -72, \"d\": 64}", "seed": "13858087144825562629", "semantic_fingerprint": "sha256:2ff52bfefe324c60503723127ee4c99da209d7900bdd61690a2edb0ce673144b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001107", "prompt": "Calculate: -398 + (-93) - 8 + 6 + (-24 - (-7))", "solution_steps": ["Add: -398 + (-93) = -491", "Subtract: -491 - 8 = -499", "Add: -499 + 6 = -493", "Subtract: -24 - (-7) = -17", "Add: -493 + (-17) = -510"], "final_answer": "-510", "answer_type": "integer", "kind": "expression", "math_text": "-398 + (-93) - 8 + 6 + (-24 - (-7))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- (+ n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -398, \"b\": -93, \"c\": 8, \"d\": 6, \"e\": -24, \"f\": -7}", "seed": "2391536974095936871", "semantic_fingerprint": "sha256:9a62104732424ef792a427d8ce9cfccdb2f1e0acaf60c9a48ed604cf86d451f7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001108", "prompt": "Calculate: (0 - 51) * 4 * (-3)", "solution_steps": ["Subtract: 0 - 51 = -51", "Multiply: -51 * 4 = -204", "Multiply: -204 * (-3) = 612"], "final_answer": "612", "answer_type": "integer", "kind": "expression", "math_text": "(0 - 51) * 4 * (-3)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 51, \"c\": 4, \"d\": -3}", "seed": "17415967351540093503", "semantic_fingerprint": "sha256:4f24f053af3264d138ba662c160bbe1202132dd5c0e3f741dde9d276f54b7d66", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001109", "prompt": "What value of x satisfies 4(x - 82) - 9 = 5(x - 2) - 331?", "solution_steps": ["Expand: 4x - 328 - 9 = 5(x - 2) - 331", "Expand: 4x - 328 - 9 = 5x - 10 - 331", "Combine constants: 4x - 337 = 5x - 10 - 331", "Combine constants: 4x - 337 = 5x - 341", "Subtract 5x from both sides: -x - 337 = -341", "Add 337 to both sides: -x = -4", "Divide both sides by -1: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 82) - 9 = 5(x - 2) - 331", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 82, \"c\": 9, \"d\": 5, \"e\": 2, \"g\": -331, \"x\": 4}", "seed": "9709500889793311431", "semantic_fingerprint": "sha256:3b75121d3ef7c995d6a30bf9de2bd9dd704e2439f30ba0930482ffb1e7a9ace7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001110", "prompt": "Evaluate: (66 - (-52)) * 94 / (40 - 42 * (-1))", "solution_steps": ["Subtract: 66 - (-52) = 118", "Multiply: 118 * 94 = 11092", "Multiply: 42 * (-1) = -42", "Subtract: 40 - (-42) = 82", "Divide: 11092 / 82 = 5546/41"], "final_answer": "5546/41", "answer_type": "rational", "kind": "expression", "math_text": "(66 - (-52)) * 94 / (40 - 42 * (-1))", "variable": null, "family": "expression_5op", "shape": "(/ (* (- n n) n) (- n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -52, \"c\": 94, \"d\": 40, \"e\": 42, \"f\": -1}", "seed": "2819663185212411211", "semantic_fingerprint": "sha256:92ce034525afbc368c3734d140d153cadc2b0abaac162290d5ae985da6c3ef72", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001111", "prompt": "Solve the equation 3(x - 43) + 73 = 11x + 6 for x.", "solution_steps": ["Expand: 3x - 129 + 73 = 11x + 6", "Combine constants: 3x - 56 = 11x + 6", "Subtract 11x from both sides: -8x - 56 = 6", "Add 56 to both sides: -8x = 62", "Divide both sides by -8: x = -31/4"], "final_answer": "-31/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 43) + 73 = 11x + 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 43, \"c\": 73, \"d\": 11, \"e\": 6}", "seed": "7172138660835333673", "semantic_fingerprint": "sha256:fbcbb9b31693a7bc6e50214357f52b3667f7a261b372dba7fa4c1a9b31b2c90a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001112", "prompt": "Evaluate: 64 + (-83 + (-983)) - 0", "solution_steps": ["Add: -83 + (-983) = -1066", "Add: 64 + (-1066) = -1002", "Subtract: -1002 - 0 = -1002"], "final_answer": "-1002", "answer_type": "integer", "kind": "expression", "math_text": "64 + (-83 + (-983)) - 0", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": -83, \"c\": -983, \"d\": 0}", "seed": "1798844736293466734", "semantic_fingerprint": "sha256:1a58d65fd5ab17bda6a91ade06ad4fe12b7af1e6a577dc45a1df7fa5bac5dc32", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001113", "prompt": "Evaluate: -9 / (96 * (-97)) - (-39)", "solution_steps": ["Multiply: 96 * (-97) = -9312", "Divide: -9 / (-9312) = 3/3104", "Subtract: 3/3104 - (-39) = 121059/3104"], "final_answer": "121059/3104", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (96 * (-97)) - (-39)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 96, \"c\": -97, \"d\": -39}", "seed": "3634208746484355312", "semantic_fingerprint": "sha256:1c14ed430f01b8961cd1f94215d08cf66668fecc5c55c1ad78770ca0a337bffe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001114", "prompt": "Calculate: 710 * (-934 / (-37 - (-727))) / (-21)", "solution_steps": ["Subtract: -37 - (-727) = 690", "Divide: -934 / 690 = -467/345", "Multiply: 710 * (-467/345) = -66314/69", "Divide: (-66314/69) / (-21) = 66314/1449"], "final_answer": "66314/1449", "answer_type": "rational", "kind": "expression", "math_text": "710 * (-934 / (-37 - (-727))) / (-21)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (/ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 710, \"b\": -934, \"c\": -37, \"d\": -727, \"e\": -21}", "seed": "14503707094260935078", "semantic_fingerprint": "sha256:53bd3717a5b8cba0102f1f844fd4af7b967d8b6d9471763bba9b00f04a49750a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001115", "prompt": "Evaluate: 601 + (0 - (-8) - 21) / (-27)", "solution_steps": ["Subtract: 0 - (-8) = 8", "Subtract: 8 - 21 = -13", "Divide: -13 / (-27) = 13/27", "Add: 601 + 13/27 = 16240/27"], "final_answer": "16240/27", "answer_type": "rational", "kind": "expression", "math_text": "601 + (0 - (-8) - 21) / (-27)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (- (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 601, \"b\": 0, \"c\": -8, \"d\": 21, \"e\": -27}", "seed": "13838962583669938214", "semantic_fingerprint": "sha256:7daf61bc078797a39b13e56bb84263e8f916f02f62f59cf9ce141ffb384cf1c2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001116", "prompt": "Calculate: -54 * (262 * (-8 - (-15)))", "solution_steps": ["Subtract: -8 - (-15) = 7", "Multiply: 262 * 7 = 1834", "Multiply: -54 * 1834 = -99036"], "final_answer": "-99036", "answer_type": "integer", "kind": "expression", "math_text": "-54 * (262 * (-8 - (-15)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": 262, \"c\": -8, \"d\": -15}", "seed": "15362911588131375325", "semantic_fingerprint": "sha256:dd0be2fb5fb618be0036f4e167c3a97c0ea74d22e6907b8f3ff202bd58e9bca0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001117", "prompt": "Calculate: (1 / 55 + (-316)) * 51", "solution_steps": ["Divide: 1 / 55 = 1/55", "Add: 1/55 + (-316) = -17379/55", "Multiply: (-17379/55) * 51 = -886329/55"], "final_answer": "-886329/55", "answer_type": "rational", "kind": "expression", "math_text": "(1 / 55 + (-316)) * 51", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 55, \"c\": -316, \"d\": 51}", "seed": "5008868917794707276", "semantic_fingerprint": "sha256:ae10aadfc0375d7f1cf7166e5e6a89ebe62c2776fbd85e1d2f77dd5740469be1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001118", "prompt": "Evaluate: -5 * (72 * (-96)) - 83", "solution_steps": ["Multiply: 72 * (-96) = -6912", "Multiply: -5 * (-6912) = 34560", "Subtract: 34560 - 83 = 34477"], "final_answer": "34477", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (72 * (-96)) - 83", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 72, \"c\": -96, \"d\": 83}", "seed": "12559762066744474663", "semantic_fingerprint": "sha256:ca6b99a542d3d4b5c556790719c6bbd58a88ccb329cf8cfe20fccf78dcbf1ae5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001119", "prompt": "Solve the equation 4(x + 2) - 1 = x - 47 for x.", "solution_steps": ["Expand: 4x + 8 - 1 = x - 47", "Combine constants: 4x + 7 = x - 47", "Subtract x from both sides: 3x + 7 = -47", "Subtract 7 from both sides: 3x = -54", "Divide both sides by 3: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 2) - 1 = x - 47", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": 1, \"e\": -47, \"x\": -18}", "seed": "12456624429925030480", "semantic_fingerprint": "sha256:aad9fa9a0d40709a44db4117c10ab76b39211a8a893628d13dc61622c6ff21bd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001120", "prompt": "Compute: -7 + (-55) + (3 + (-86) / (-664 + (-75)))", "solution_steps": ["Add: -7 + (-55) = -62", "Add: -664 + (-75) = -739", "Divide: -86 / (-739) = 86/739", "Add: 3 + 86/739 = 2303/739", "Add: -62 + 2303/739 = -43515/739"], "final_answer": "-43515/739", "answer_type": "rational", "kind": "expression", "math_text": "-7 + (-55) + (3 + (-86) / (-664 + (-75)))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (+ n (/ n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -55, \"c\": 3, \"d\": -86, \"e\": -664, \"f\": -75}", "seed": "9553256150098512421", "semantic_fingerprint": "sha256:6747e34e89fede22138a90a7b55a3d0d200975ddf9cd50b9a751af6a7e28e66d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001121", "prompt": "Evaluate: 96 * (-759 + (-4)) * 4 / 5", "solution_steps": ["Add: -759 + (-4) = -763", "Multiply: 96 * (-763) = -73248", "Multiply: -73248 * 4 = -292992", "Divide: -292992 / 5 = -292992/5"], "final_answer": "-292992/5", "answer_type": "rational", "kind": "expression", "math_text": "96 * (-759 + (-4)) * 4 / 5", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": -759, \"c\": -4, \"d\": 4, \"e\": 5}", "seed": "8966051696885701947", "semantic_fingerprint": "sha256:16268d3e9c41fe0b073f8ef1b558ee619656dc507c82bb7bf235bb428f17eb96", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001122", "prompt": "Calculate: (373 * 5 + (-6)) * (-73)", "solution_steps": ["Multiply: 373 * 5 = 1865", "Add: 1865 + (-6) = 1859", "Multiply: 1859 * (-73) = -135707"], "final_answer": "-135707", "answer_type": "integer", "kind": "expression", "math_text": "(373 * 5 + (-6)) * (-73)", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 373, \"b\": 5, \"c\": -6, \"d\": -73}", "seed": "18002873459948173954", "semantic_fingerprint": "sha256:9ae31f5cb14ca04a216eb5336b477c2c644169d4a00c091a4734d2492d5d6100", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001123", "prompt": "What is (46 + 5) / (3 / (-5))?", "solution_steps": ["Add: 46 + 5 = 51", "Divide: 3 / (-5) = -3/5", "Divide: 51 / (-3/5) = -85"], "final_answer": "-85", "answer_type": "integer", "kind": "expression", "math_text": "(46 + 5) / (3 / (-5))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": 5, \"c\": 3, \"d\": -5}", "seed": "11907571015658093757", "semantic_fingerprint": "sha256:3fba5d6ac2531ed3c00bf43f020ff31a7f3a6a51ff8a89144ebc9e0d5298a615", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001124", "prompt": "Find x: 8(x + 88) + 4 = 11(x + 102) - 408", "solution_steps": ["Expand: 8x + 704 + 4 = 11(x + 102) - 408", "Expand: 8x + 704 + 4 = 11x + 1122 - 408", "Combine constants: 8x + 708 = 11x + 1122 - 408", "Combine constants: 8x + 708 = 11x + 714", "Subtract 11x from both sides: -3x + 708 = 714", "Subtract 708 from both sides: -3x = 6", "Divide both sides by -3: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 88) + 4 = 11(x + 102) - 408", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 88, \"c\": 4, \"d\": 11, \"e\": 102, \"g\": -408, \"x\": -2}", "seed": "5627675088088990470", "semantic_fingerprint": "sha256:e5a9c8f67e6b5de643c45994303b2ab78d59ea9426385c1b745783efda8108bd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001125", "prompt": "Solve the equation 8x - 8 = -5(x + 81) + 462 for x.", "solution_steps": ["Expand: 8x - 8 = -5x - 405 + 462", "Combine constants: 8x - 8 = -5x + 57", "Add 5x to both sides: 13x - 8 = 57", "Add 8 to both sides: 13x = 65", "Divide both sides by 13: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 8 = -5(x + 81) + 462", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": -5, \"d\": 81, \"f\": 462, \"x\": 5}", "seed": "14225279093445907329", "semantic_fingerprint": "sha256:00ced9e5f3c2b53d4902f264ff1947dbd872f0500c03f64658d52c9eddd2919d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001126", "prompt": "Calculate: -58 * (-876) - 9 * (15 + 918)", "solution_steps": ["Multiply: -58 * (-876) = 50808", "Add: 15 + 918 = 933", "Multiply: 9 * 933 = 8397", "Subtract: 50808 - 8397 = 42411"], "final_answer": "42411", "answer_type": "integer", "kind": "expression", "math_text": "-58 * (-876) - 9 * (15 + 918)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": -876, \"c\": 9, \"d\": 15, \"e\": 918}", "seed": "13705600180395181510", "semantic_fingerprint": "sha256:ccc5cae687996c76a38c5b9b1e0610bf202d088d8f2487c4e99f285d35beb45d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001127", "prompt": "Solve the equation x - 17 = 7(x - 3) + 112 for x.", "solution_steps": ["Expand: x - 17 = 7x - 21 + 112", "Combine constants: x - 17 = 7x + 91", "Subtract 7x from both sides: -6x - 17 = 91", "Add 17 to both sides: -6x = 108", "Divide both sides by -6: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 17 = 7(x - 3) + 112", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": 7, \"c\": 3, \"e\": 112, \"x\": -18}", "seed": "2659256369560022252", "semantic_fingerprint": "sha256:564d7d5bee6d5c40bb17c40a6936b368ffc46629f53e5c48ca5fccf79fd76a6f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001128", "prompt": "Evaluate: -197 + (-99) + ((67 - 3) / 98 - 536)", "solution_steps": ["Add: -197 + (-99) = -296", "Subtract: 67 - 3 = 64", "Divide: 64 / 98 = 32/49", "Subtract: 32/49 - 536 = -26232/49", "Add: -296 + (-26232/49) = -40736/49"], "final_answer": "-40736/49", "answer_type": "rational", "kind": "expression", "math_text": "-197 + (-99) + ((67 - 3) / 98 - 536)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- (/ (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -197, \"b\": -99, \"c\": 67, \"d\": 3, \"e\": 98, \"f\": 536}", "seed": "6008828793854558557", "semantic_fingerprint": "sha256:478d7ea4becf7f76768b067e4cafd62543ae0060bd2eb8b49195b8fac8dbf94c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001129", "prompt": "What value of x satisfies 10(x - 939) - 4 = 4(x - 279)?", "solution_steps": ["Expand: 10x - 9390 - 4 = 4(x - 279)", "Expand: 10x - 9390 - 4 = 4x - 1116", "Combine constants: 10x - 9394 = 4x - 1116", "Subtract 4x from both sides: 6x - 9394 = -1116", "Add 9394 to both sides: 6x = 8278", "Divide both sides by 6: x = 4139/3"], "final_answer": "4139/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 939) - 4 = 4(x - 279)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 939, \"c\": 4, \"d\": 4, \"e\": 279}", "seed": "8258830278857298712", "semantic_fingerprint": "sha256:1862322de1585c8f65963d4028accb0616fcd1defa8a6f34af830c611ec8d04a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001130", "prompt": "Compute: (-722 + 594) * ((1 - (4 - 1)) / 96)", "solution_steps": ["Add: -722 + 594 = -128", "Subtract: 4 - 1 = 3", "Subtract: 1 - 3 = -2", "Divide: -2 / 96 = -1/48", "Multiply: -128 * (-1/48) = 8/3"], "final_answer": "8/3", "answer_type": "rational", "kind": "expression", "math_text": "(-722 + 594) * ((1 - (4 - 1)) / 96)", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (/ (- n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -722, \"b\": 594, \"c\": 1, \"d\": 4, \"e\": 1, \"f\": 96}", "seed": "8862087733159227244", "semantic_fingerprint": "sha256:6ebf5778ad9efeb2e13e7956a71ad848f25dfb52cd4dfc4eccdb8f93681124a3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001131", "prompt": "Solve the equation 9(x + 9) - 2 = x - 29 for x.", "solution_steps": ["Expand: 9x + 81 - 2 = x - 29", "Combine constants: 9x + 79 = x - 29", "Subtract x from both sides: 8x + 79 = -29", "Subtract 79 from both sides: 8x = -108", "Divide both sides by 8: x = -27/2"], "final_answer": "-27/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 9) - 2 = x - 29", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 2, \"d\": 29}", "seed": "6603424506905891487", "semantic_fingerprint": "sha256:c1d6091465534018bbc9ac2f38144c876f6fbcc6d0f2194d718b5a9fa8c60063", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001132", "prompt": "Compute: -404 * (-95) + (6 + 16) - (-1)", "solution_steps": ["Multiply: -404 * (-95) = 38380", "Add: 6 + 16 = 22", "Add: 38380 + 22 = 38402", "Subtract: 38402 - (-1) = 38403"], "final_answer": "38403", "answer_type": "integer", "kind": "expression", "math_text": "-404 * (-95) + (6 + 16) - (-1)", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -404, \"b\": -95, \"c\": 6, \"d\": 16, \"e\": -1}", "seed": "14085287660353074787", "semantic_fingerprint": "sha256:1f9679814967b180e628107c28218e6d3187d2d97055ce11e35c2b38e2fa357e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001133", "prompt": "Solve for x: 11(x - 6) + 66 = 6(x + 72) - 337", "solution_steps": ["Expand: 11x - 66 + 66 = 6(x + 72) - 337", "Expand: 11x - 66 + 66 = 6x + 432 - 337", "Combine constants: 11x = 6x + 432 - 337", "Combine constants: 11x = 6x + 95", "Subtract 6x from both sides: 5x = 95", "Divide both sides by 5: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 6) + 66 = 6(x + 72) - 337", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 6, \"c\": 66, \"d\": 6, \"e\": 72, \"g\": -337, \"x\": 19}", "seed": "16163769583443309345", "semantic_fingerprint": "sha256:941646b4e9441269b55842734f8d46757b7df87b754bd8169f2b13fdb5987454", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001134", "prompt": "What is (4 + (-2) - 45) / (-93 / 7)?", "solution_steps": ["Add: 4 + (-2) = 2", "Subtract: 2 - 45 = -43", "Divide: -93 / 7 = -93/7", "Divide: -43 / (-93/7) = 301/93"], "final_answer": "301/93", "answer_type": "rational", "kind": "expression", "math_text": "(4 + (-2) - 45) / (-93 / 7)", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -2, \"c\": 45, \"d\": -93, \"e\": 7}", "seed": "14052995591919530487", "semantic_fingerprint": "sha256:53c32c011e98dfa539feb3454b9fd97dcd716163b2406bc3a6151e001e73b52a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001135", "prompt": "Solve the equation -8(x + 4) + 5 = 11(x + 1) - 399 for x.", "solution_steps": ["Expand: -8x - 32 + 5 = 11(x + 1) - 399", "Expand: -8x - 32 + 5 = 11x + 11 - 399", "Combine constants: -8x - 27 = 11x + 11 - 399", "Combine constants: -8x - 27 = 11x - 388", "Subtract 11x from both sides: -19x - 27 = -388", "Add 27 to both sides: -19x = -361", "Divide both sides by -19: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 4) + 5 = 11(x + 1) - 399", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 4, \"c\": 5, \"d\": 11, \"e\": 1, \"g\": -399, \"x\": 19}", "seed": "2003289952194242748", "semantic_fingerprint": "sha256:52de7c912d93d4333f3b4667c502a1680c64c858589d0a5f75511b82419df184", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001136", "prompt": "Calculate: (6 + (-5) + (-4 + (-386))) / 90", "solution_steps": ["Add: 6 + (-5) = 1", "Add: -4 + (-386) = -390", "Add: 1 + (-390) = -389", "Divide: -389 / 90 = -389/90"], "final_answer": "-389/90", "answer_type": "rational", "kind": "expression", "math_text": "(6 + (-5) + (-4 + (-386))) / 90", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -5, \"c\": -4, \"d\": -386, \"e\": 90}", "seed": "7391131844091252148", "semantic_fingerprint": "sha256:84ed7cbddff192fcf89e031bdf2021f8c14c180c3db9801d72d32fef589831de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001137", "prompt": "What is ((-316 + (-22)) * (-73) - (-81)) / 2?", "solution_steps": ["Add: -316 + (-22) = -338", "Multiply: -338 * (-73) = 24674", "Subtract: 24674 - (-81) = 24755", "Divide: 24755 / 2 = 24755/2"], "final_answer": "24755/2", "answer_type": "rational", "kind": "expression", "math_text": "((-316 + (-22)) * (-73) - (-81)) / 2", "variable": null, "family": "expression_4op", "shape": "(/ (- (* (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -316, \"b\": -22, \"c\": -73, \"d\": -81, \"e\": 2}", "seed": "10178724090122640434", "semantic_fingerprint": "sha256:79df5c48b39b0fa77bfa1e19e82d92238f696a6d69ecd4227a5660ebe4e9113a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001138", "prompt": "Compute: -519 * (-9) - (-9) * (7 + 0)", "solution_steps": ["Multiply: -519 * (-9) = 4671", "Add: 7 + 0 = 7", "Multiply: -9 * 7 = -63", "Subtract: 4671 - (-63) = 4734"], "final_answer": "4734", "answer_type": "integer", "kind": "expression", "math_text": "-519 * (-9) - (-9) * (7 + 0)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -519, \"b\": -9, \"c\": -9, \"d\": 7, \"e\": 0}", "seed": "14098649748969220213", "semantic_fingerprint": "sha256:a41ea5ec9e7190fc572d277d6b0212a0965baea04b31ad08dde5816038ef55ba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001139", "prompt": "Evaluate: -4 / (-8 / (-22)) - (-50) * (4 + 9)", "solution_steps": ["Divide: -8 / (-22) = 4/11", "Divide: -4 / (4/11) = -11", "Add: 4 + 9 = 13", "Multiply: -50 * 13 = -650", "Subtract: -11 - (-650) = 639"], "final_answer": "639", "answer_type": "integer", "kind": "expression", "math_text": "-4 / (-8 / (-22)) - (-50) * (4 + 9)", "variable": null, "family": "expression_5op", "shape": "(- (/ n (/ n n)) (* n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -8, \"c\": -22, \"d\": -50, \"e\": 4, \"f\": 9}", "seed": "4095805393400001916", "semantic_fingerprint": "sha256:4e09dc61c7ad905a557b4acabd8960ae9fa54773304f438d1c76d2f6cf063c88", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001140", "prompt": "Compute: (-55 + 198 * 120) * (3 - 4)", "solution_steps": ["Multiply: 198 * 120 = 23760", "Add: -55 + 23760 = 23705", "Subtract: 3 - 4 = -1", "Multiply: 23705 * (-1) = -23705"], "final_answer": "-23705", "answer_type": "integer", "kind": "expression", "math_text": "(-55 + 198 * 120) * (3 - 4)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 198, \"c\": 120, \"d\": 3, \"e\": 4}", "seed": "4496747008584772460", "semantic_fingerprint": "sha256:fcb52fd12f2608b0d0f8451467b0d2eba8eff33e3b2cdb59c993a1ff6993772b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001141", "prompt": "What value of x satisfies 10(x + 17) + 781 = -3(x + 53) - 86?", "solution_steps": ["Expand: 10x + 170 + 781 = -3(x + 53) - 86", "Expand: 10x + 170 + 781 = -3x - 159 - 86", "Combine constants: 10x + 951 = -3x - 159 - 86", "Combine constants: 10x + 951 = -3x - 245", "Add 3x to both sides: 13x + 951 = -245", "Subtract 951 from both sides: 13x = -1196", "Divide both sides by 13: x = -92"], "final_answer": "-92", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 17) + 781 = -3(x + 53) - 86", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 17, \"c\": 781, \"d\": -3, \"e\": 53, \"f\": 86}", "seed": "17304454038656874109", "semantic_fingerprint": "sha256:9ac5f7c0659e1e55305c9fa04ad9e7978e6d55d700c36de6d8bf50d104a96032", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001142", "prompt": "Evaluate: 36 + (-931) - (-2 + 24)", "solution_steps": ["Add: 36 + (-931) = -895", "Add: -2 + 24 = 22", "Subtract: -895 - 22 = -917"], "final_answer": "-917", "answer_type": "integer", "kind": "expression", "math_text": "36 + (-931) - (-2 + 24)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": -931, \"c\": -2, \"d\": 24}", "seed": "913718417008918559", "semantic_fingerprint": "sha256:cd5ef12c48e762dad6229f311b6464798e93e4df7071f212992207802a49978b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001143", "prompt": "What is -91 / (-51 - 62 - (-33))?", "solution_steps": ["Subtract: -51 - 62 = -113", "Subtract: -113 - (-33) = -80", "Divide: -91 / (-80) = 91/80"], "final_answer": "91/80", "answer_type": "rational", "kind": "expression", "math_text": "-91 / (-51 - 62 - (-33))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -51, \"c\": 62, \"d\": -33}", "seed": "15912292642387610366", "semantic_fingerprint": "sha256:1e39da0e5f4fb26482c9b3cd4cf4872f1d63e1a10d79c21387e004718158c8e4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001144", "prompt": "Solve the equation -10(x - 1) + 182 = -12(x - 19) for x.", "solution_steps": ["Expand: -10x + 10 + 182 = -12(x - 19)", "Expand: -10x + 10 + 182 = -12x + 228", "Combine constants: -10x + 192 = -12x + 228", "Add 12x to both sides: 2x + 192 = 228", "Subtract 192 from both sides: 2x = 36", "Divide both sides by 2: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 1) + 182 = -12(x - 19)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 1, \"c\": -12, \"d\": 19, \"f\": 182, \"x\": 18}", "seed": "16027340692792011737", "semantic_fingerprint": "sha256:b10b561b93a5cbf701a98948ee76fd7959a36ac0d7afb26e05c03bf972ac7056", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001145", "prompt": "Solve for x: -5(x + 6) - 566 = x - 572", "solution_steps": ["Expand: -5x - 30 - 566 = x - 572", "Combine constants: -5x - 596 = x - 572", "Subtract x from both sides: -6x - 596 = -572", "Add 596 to both sides: -6x = 24", "Divide both sides by -6: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 6) - 566 = x - 572", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 6, \"c\": 566, \"e\": -572, \"x\": -4}", "seed": "916908652743331034", "semantic_fingerprint": "sha256:10e1bda0d26500fd894d3ec3fa68bcc18fb7a21a3353f7130b95a85d510314b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001146", "prompt": "Solve the equation 8(x + 54) + 96 = -9(x + 45) - 4 for x.", "solution_steps": ["Expand: 8x + 432 + 96 = -9(x + 45) - 4", "Expand: 8x + 432 + 96 = -9x - 405 - 4", "Combine constants: 8x + 528 = -9x - 405 - 4", "Combine constants: 8x + 528 = -9x - 409", "Add 9x to both sides: 17x + 528 = -409", "Subtract 528 from both sides: 17x = -937", "Divide both sides by 17: x = -937/17"], "final_answer": "-937/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 54) + 96 = -9(x + 45) - 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 54, \"c\": 96, \"d\": -9, \"e\": 45, \"f\": 4}", "seed": "11769917125035001459", "semantic_fingerprint": "sha256:fa5dc6b4f1ef2f799f0cb388a2c2874270a1d64190a6c2fb642c817d8813dcef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001147", "prompt": "What is (9 - (-8)) * (398 * (-89))?", "solution_steps": ["Subtract: 9 - (-8) = 17", "Multiply: 398 * (-89) = -35422", "Multiply: 17 * (-35422) = -602174"], "final_answer": "-602174", "answer_type": "integer", "kind": "expression", "math_text": "(9 - (-8)) * (398 * (-89))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -8, \"c\": 398, \"d\": -89}", "seed": "18071208272788950610", "semantic_fingerprint": "sha256:0904be379f043d5fffe259d3650df947fe7762d27a0de0642432cdf99c73cf12", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001148", "prompt": "Solve the equation -2x - 295 = -11(x + 49) + 370 for x.", "solution_steps": ["Expand: -2x - 295 = -11x - 539 + 370", "Combine constants: -2x - 295 = -11x - 169", "Add 11x to both sides: 9x - 295 = -169", "Add 295 to both sides: 9x = 126", "Divide both sides by 9: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 295 = -11(x + 49) + 370", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 295, \"c\": -11, \"d\": 49, \"f\": 370, \"x\": 14}", "seed": "10541210398846270692", "semantic_fingerprint": "sha256:85012b36fbabc06830b9cb4b2d9bacf09849291cb7bde38520247e5acb8fbbbe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001149", "prompt": "What is -151 - (-7 + (-4 - 5))?", "solution_steps": ["Subtract: -4 - 5 = -9", "Add: -7 + (-9) = -16", "Subtract: -151 - (-16) = -135"], "final_answer": "-135", "answer_type": "integer", "kind": "expression", "math_text": "-151 - (-7 + (-4 - 5))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -151, \"b\": -7, \"c\": -4, \"d\": 5}", "seed": "4515514713459235511", "semantic_fingerprint": "sha256:e0752045b977eca1873767a0fc0f2c36b44152a6b5ebc11046d5eb6564c272ea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001150", "prompt": "Evaluate: (42 - (-29)) * (841 / (-181))", "solution_steps": ["Subtract: 42 - (-29) = 71", "Divide: 841 / (-181) = -841/181", "Multiply: 71 * (-841/181) = -59711/181"], "final_answer": "-59711/181", "answer_type": "rational", "kind": "expression", "math_text": "(42 - (-29)) * (841 / (-181))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -29, \"c\": 841, \"d\": -181}", "seed": "15074733693971109266", "semantic_fingerprint": "sha256:b9c2d3a1e0e91f1340c894fc4d8ba8d5cf9886e34798b0cc1d5de7ee35bd5380", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001151", "prompt": "Find x: 5x - 192 = 10(x + 90) + 6", "solution_steps": ["Expand: 5x - 192 = 10x + 900 + 6", "Combine constants: 5x - 192 = 10x + 906", "Subtract 10x from both sides: -5x - 192 = 906", "Add 192 to both sides: -5x = 1098", "Divide both sides by -5: x = -1098/5"], "final_answer": "-1098/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x - 192 = 10(x + 90) + 6", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 192, \"c\": 10, \"d\": 90, \"e\": 6}", "seed": "4402744846609755852", "semantic_fingerprint": "sha256:7770bf137977935494163d348d873a982c847b636afe433580cfd5dc9a6b1934", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001152", "prompt": "What is (-813 + (-7)) / (7 + 88) - 44?", "solution_steps": ["Add: -813 + (-7) = -820", "Add: 7 + 88 = 95", "Divide: -820 / 95 = -164/19", "Subtract: -164/19 - 44 = -1000/19"], "final_answer": "-1000/19", "answer_type": "rational", "kind": "expression", "math_text": "(-813 + (-7)) / (7 + 88) - 44", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -813, \"b\": -7, \"c\": 7, \"d\": 88, \"e\": 44}", "seed": "6724063995129403010", "semantic_fingerprint": "sha256:132008a60072337cb564a80b991462acac18c5c3724e3534367f05f418d18c56", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001153", "prompt": "What value of x satisfies x - 4 = 12(x - 52) + 94?", "solution_steps": ["Expand: x - 4 = 12x - 624 + 94", "Combine constants: x - 4 = 12x - 530", "Subtract 12x from both sides: -11x - 4 = -530", "Add 4 to both sides: -11x = -526", "Divide both sides by -11: x = 526/11"], "final_answer": "526/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 4 = 12(x - 52) + 94", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 12, \"c\": 52, \"d\": 94}", "seed": "1203450274972690581", "semantic_fingerprint": "sha256:d35318bf1ba7d8c76897403eaff94d772d5757f64f88223dba56a2d588e07245", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001154", "prompt": "What is (-88 - 8) * 882 - (-54) * 368 / 42?", "solution_steps": ["Subtract: -88 - 8 = -96", "Multiply: -96 * 882 = -84672", "Multiply: -54 * 368 = -19872", "Divide: -19872 / 42 = -3312/7", "Subtract: -84672 - (-3312/7) = -589392/7"], "final_answer": "-589392/7", "answer_type": "rational", "kind": "expression", "math_text": "(-88 - 8) * 882 - (-54) * 368 / 42", "variable": null, "family": "expression_5op", "shape": "(- (* (- n n) n) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": 8, \"c\": 882, \"d\": -54, \"e\": 368, \"f\": 42}", "seed": "1379651417968984085", "semantic_fingerprint": "sha256:ed792313a69a8f5fa87fe5b8725492f8362d5a27c49b0f4220750a7b8d9f5519", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001155", "prompt": "Compute: -52 + (-76) + (-79) / ((0 + 8) / (-47))", "solution_steps": ["Add: -52 + (-76) = -128", "Add: 0 + 8 = 8", "Divide: 8 / (-47) = -8/47", "Divide: -79 / (-8/47) = 3713/8", "Add: -128 + 3713/8 = 2689/8"], "final_answer": "2689/8", "answer_type": "rational", "kind": "expression", "math_text": "-52 + (-76) + (-79) / ((0 + 8) / (-47))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (/ n (/ (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": -76, \"c\": -79, \"d\": 0, \"e\": 8, \"f\": -47}", "seed": "5922099228948617936", "semantic_fingerprint": "sha256:764c78baabd6991d8e3bf442e3aebd514155be61358724f4fe38a935809199fb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001156", "prompt": "Compute: -27 * (-797 / (729 / (-8 * 1)))", "solution_steps": ["Multiply: -8 * 1 = -8", "Divide: 729 / (-8) = -729/8", "Divide: -797 / (-729/8) = 6376/729", "Multiply: -27 * (6376/729) = -6376/27"], "final_answer": "-6376/27", "answer_type": "rational", "kind": "expression", "math_text": "-27 * (-797 / (729 / (-8 * 1)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (/ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": -797, \"c\": 729, \"d\": -8, \"e\": 1}", "seed": "4706062853319073956", "semantic_fingerprint": "sha256:24353f4311ca5b2b19a5241aa675e08564d3a6b699e9260d8c61e28706b776f6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001157", "prompt": "Calculate: (-9 - (-6)) * (275 * (-99))", "solution_steps": ["Subtract: -9 - (-6) = -3", "Multiply: 275 * (-99) = -27225", "Multiply: -3 * (-27225) = 81675"], "final_answer": "81675", "answer_type": "integer", "kind": "expression", "math_text": "(-9 - (-6)) * (275 * (-99))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -6, \"c\": 275, \"d\": -99}", "seed": "15466324716258139104", "semantic_fingerprint": "sha256:bdf149837242e1f1c4e99187e83e788d55fb9550900ff1060f9a78c4a6902403", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001158", "prompt": "Evaluate: -4 + (-971 + (-48 + (-21 - (-31))) - 93)", "solution_steps": ["Subtract: -21 - (-31) = 10", "Add: -48 + 10 = -38", "Add: -971 + (-38) = -1009", "Subtract: -1009 - 93 = -1102", "Add: -4 + (-1102) = -1106"], "final_answer": "-1106", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (-971 + (-48 + (-21 - (-31))) - 93)", "variable": null, "family": "expression_5op", "shape": "(+ n (- (+ n (+ n (- n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -971, \"c\": -48, \"d\": -21, \"e\": -31, \"f\": 93}", "seed": "11710946164106292513", "semantic_fingerprint": "sha256:429be4ef2c0b988497f9decec976a24e1a181134d38b0561b0209c092defea1b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001159", "prompt": "Solve the equation -12(x - 29) + 99 = 8(x + 91) - 281 for x.", "solution_steps": ["Expand: -12x + 348 + 99 = 8(x + 91) - 281", "Expand: -12x + 348 + 99 = 8x + 728 - 281", "Combine constants: -12x + 447 = 8x + 728 - 281", "Combine constants: -12x + 447 = 8x + 447", "Subtract 8x from both sides: -20x + 447 = 447", "Subtract 447 from both sides: -20x = 0", "Divide both sides by -20: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 29) + 99 = 8(x + 91) - 281", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 29, \"c\": 99, \"d\": 8, \"e\": 91, \"g\": -281, \"x\": 0}", "seed": "15783737308144993061", "semantic_fingerprint": "sha256:47284c3e96380590fff59e759622cf9e56bfe1aee2bf377fa14dbd860612bca0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001160", "prompt": "What value of x satisfies 3(x - 36) + 25 = 12x + 14?", "solution_steps": ["Expand: 3x - 108 + 25 = 12x + 14", "Combine constants: 3x - 83 = 12x + 14", "Subtract 12x from both sides: -9x - 83 = 14", "Add 83 to both sides: -9x = 97", "Divide both sides by -9: x = -97/9"], "final_answer": "-97/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 36) + 25 = 12x + 14", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 36, \"c\": 25, \"d\": 12, \"e\": 14}", "seed": "1297864982922615713", "semantic_fingerprint": "sha256:bf890f84528ca165be86312efee3cd98f76db04428e74f56c44679e7488fb492", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001161", "prompt": "Solve the equation 7(x + 91) + 3 = 3(x + 18) - 27 for x.", "solution_steps": ["Expand: 7x + 637 + 3 = 3(x + 18) - 27", "Expand: 7x + 637 + 3 = 3x + 54 - 27", "Combine constants: 7x + 640 = 3x + 54 - 27", "Combine constants: 7x + 640 = 3x + 27", "Subtract 3x from both sides: 4x + 640 = 27", "Subtract 640 from both sides: 4x = -613", "Divide both sides by 4: x = -613/4"], "final_answer": "-613/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 91) + 3 = 3(x + 18) - 27", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 91, \"c\": 3, \"d\": 3, \"e\": 18, \"f\": 27}", "seed": "1655363186798084842", "semantic_fingerprint": "sha256:b7f29567d2d5acae42e2d254c5ba3e2768947ae0b04c4e38ed42ef2014d42a09", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001162", "prompt": "Compute: -9 * (-53) / (-660 / (6 - 531))", "solution_steps": ["Multiply: -9 * (-53) = 477", "Subtract: 6 - 531 = -525", "Divide: -660 / (-525) = 44/35", "Divide: 477 / (44/35) = 16695/44"], "final_answer": "16695/44", "answer_type": "rational", "kind": "expression", "math_text": "-9 * (-53) / (-660 / (6 - 531))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -53, \"c\": -660, \"d\": 6, \"e\": 531}", "seed": "15254627840325791523", "semantic_fingerprint": "sha256:e773c0abb87fe1b0a3bea4352e7cdbe909dc0d776783291c248a9790e9dd27b2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001163", "prompt": "What is (-18 - (-508)) / (3 * (-1))?", "solution_steps": ["Subtract: -18 - (-508) = 490", "Multiply: 3 * (-1) = -3", "Divide: 490 / (-3) = -490/3"], "final_answer": "-490/3", "answer_type": "rational", "kind": "expression", "math_text": "(-18 - (-508)) / (3 * (-1))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": -508, \"c\": 3, \"d\": -1}", "seed": "234602422930893474", "semantic_fingerprint": "sha256:68e81563cc60f0d36a9fd36081cc75b0c9b9d02638d391831d121da9f287547e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001164", "prompt": "What value of x satisfies x - 29 = 8(x - 80) + 527?", "solution_steps": ["Expand: x - 29 = 8x - 640 + 527", "Combine constants: x - 29 = 8x - 113", "Subtract 8x from both sides: -7x - 29 = -113", "Add 29 to both sides: -7x = -84", "Divide both sides by -7: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 29 = 8(x - 80) + 527", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 8, \"c\": 80, \"e\": 527, \"x\": 12}", "seed": "1117921099167196220", "semantic_fingerprint": "sha256:7bd42540569a99a264ab71f36693658460481e36e7dab2db161c476e6192ef64", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001165", "prompt": "Evaluate: 465 / (-4) + (-15 - (-6) - (-996))", "solution_steps": ["Divide: 465 / (-4) = -465/4", "Subtract: -15 - (-6) = -9", "Subtract: -9 - (-996) = 987", "Add: -465/4 + 987 = 3483/4"], "final_answer": "3483/4", "answer_type": "rational", "kind": "expression", "math_text": "465 / (-4) + (-15 - (-6) - (-996))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 465, \"b\": -4, \"c\": -15, \"d\": -6, \"e\": -996}", "seed": "12573371242491241345", "semantic_fingerprint": "sha256:bc05ce18f7bb9bfbcd08f140863e60f954ca6a71b2fd7da1ca7e7f44d90a032e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001166", "prompt": "What value of x satisfies -10(x - 12) - 90 = -9(x - 576) - 73?", "solution_steps": ["Expand: -10x + 120 - 90 = -9(x - 576) - 73", "Expand: -10x + 120 - 90 = -9x + 5184 - 73", "Combine constants: -10x + 30 = -9x + 5184 - 73", "Combine constants: -10x + 30 = -9x + 5111", "Add 9x to both sides: -x + 30 = 5111", "Subtract 30 from both sides: -x = 5081", "Divide both sides by -1: x = -5081"], "final_answer": "-5081", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 12) - 90 = -9(x - 576) - 73", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 12, \"c\": 90, \"d\": -9, \"e\": 576, \"f\": 73}", "seed": "5830076570182643580", "semantic_fingerprint": "sha256:9316471ec9b67b5eb78864d38ec7a735dccba193c25edee5bad74205574ac1f6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001167", "prompt": "What is -873 - (-7) / (149 * 2)?", "solution_steps": ["Multiply: 149 * 2 = 298", "Divide: -7 / 298 = -7/298", "Subtract: -873 - (-7/298) = -260147/298"], "final_answer": "-260147/298", "answer_type": "rational", "kind": "expression", "math_text": "-873 - (-7) / (149 * 2)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -873, \"b\": -7, \"c\": 149, \"d\": 2}", "seed": "3303594241126103806", "semantic_fingerprint": "sha256:71c197c6ef6589936695f4847267480751e07353e971822c8d0187f123a9c184", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001168", "prompt": "Evaluate: 38 * (-9) * 9 / (-178 / 82)", "solution_steps": ["Multiply: 38 * (-9) = -342", "Multiply: -342 * 9 = -3078", "Divide: -178 / 82 = -89/41", "Divide: -3078 / (-89/41) = 126198/89"], "final_answer": "126198/89", "answer_type": "rational", "kind": "expression", "math_text": "38 * (-9) * 9 / (-178 / 82)", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": -9, \"c\": 9, \"d\": -178, \"e\": 82}", "seed": "6620825734215639228", "semantic_fingerprint": "sha256:4b4ffdb854b5907fd54fdbf1f8250d4ff99aa6cd91b19b1d46f1cb06c5abd622", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001169", "prompt": "Calculate: 42 * (43 * (-44)) - (-793)", "solution_steps": ["Multiply: 43 * (-44) = -1892", "Multiply: 42 * (-1892) = -79464", "Subtract: -79464 - (-793) = -78671"], "final_answer": "-78671", "answer_type": "integer", "kind": "expression", "math_text": "42 * (43 * (-44)) - (-793)", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 43, \"c\": -44, \"d\": -793}", "seed": "15455212272356122538", "semantic_fingerprint": "sha256:67e48adf0460766c681e010f762cf68861610de4dbc3c361f50ba754917c8be3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001170", "prompt": "Solve for x: -6(x - 14) = 2x - 20", "solution_steps": ["Expand: -6x + 84 = 2x - 20", "Subtract 2x from both sides: -8x + 84 = -20", "Subtract 84 from both sides: -8x = -104", "Divide both sides by -8: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 14) = 2x - 20", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 14, \"c\": 2, \"e\": -20, \"x\": 13}", "seed": "10461282971175821016", "semantic_fingerprint": "sha256:4e777792cc3f1f7eac09e08db2a3942d382c77fa834b16bf9e52ab1c6d67902d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001171", "prompt": "What is -63 / (-71 - (-3) - 7)?", "solution_steps": ["Subtract: -71 - (-3) = -68", "Subtract: -68 - 7 = -75", "Divide: -63 / (-75) = 21/25"], "final_answer": "21/25", "answer_type": "rational", "kind": "expression", "math_text": "-63 / (-71 - (-3) - 7)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": -71, \"c\": -3, \"d\": 7}", "seed": "18391243534776963939", "semantic_fingerprint": "sha256:ff8816b9c234e9a5d106163f74fb9bd052f5b81ba2596d297bcf62310bc9e5e0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001172", "prompt": "Calculate: 156 + (-18 + (6 - (-995))) - 680", "solution_steps": ["Subtract: 6 - (-995) = 1001", "Add: -18 + 1001 = 983", "Add: 156 + 983 = 1139", "Subtract: 1139 - 680 = 459"], "final_answer": "459", "answer_type": "integer", "kind": "expression", "math_text": "156 + (-18 + (6 - (-995))) - 680", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 156, \"b\": -18, \"c\": 6, \"d\": -995, \"e\": 680}", "seed": "180489162153357014", "semantic_fingerprint": "sha256:08f963ce291dc8b50120dde716109ff872038cedee7062cced9f68445601d25b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001173", "prompt": "Solve for x: -2(x - 53) = 9x - 5", "solution_steps": ["Expand: -2x + 106 = 9x - 5", "Subtract 9x from both sides: -11x + 106 = -5", "Subtract 106 from both sides: -11x = -111", "Divide both sides by -11: x = 111/11"], "final_answer": "111/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 53) = 9x - 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 53, \"c\": 9, \"d\": 5}", "seed": "8197504007182408609", "semantic_fingerprint": "sha256:5ec6f87e82d7591e667d817fa668b7013ee357d04cce2a2032f19fd846c83c7b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001174", "prompt": "Solve the equation 7(x - 8) - 672 = 11(x - 68) for x.", "solution_steps": ["Expand: 7x - 56 - 672 = 11(x - 68)", "Expand: 7x - 56 - 672 = 11x - 748", "Combine constants: 7x - 728 = 11x - 748", "Subtract 11x from both sides: -4x - 728 = -748", "Add 728 to both sides: -4x = -20", "Divide both sides by -4: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 8) - 672 = 11(x - 68)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 11, \"d\": 68, \"f\": -672, \"x\": 5}", "seed": "423725379990809141", "semantic_fingerprint": "sha256:64171816357a3758abd0120b5595e29200b5fd951eb551b1173c19076db75d9e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001175", "prompt": "Compute: 8 + (-925) - (-670) + (-35)", "solution_steps": ["Add: 8 + (-925) = -917", "Subtract: -917 - (-670) = -247", "Add: -247 + (-35) = -282"], "final_answer": "-282", "answer_type": "integer", "kind": "expression", "math_text": "8 + (-925) - (-670) + (-35)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -925, \"c\": -670, \"d\": -35}", "seed": "16753475826948901494", "semantic_fingerprint": "sha256:49853272ab99d7ff01089a15cec0a696dc42feaecacacc8348366c704eb80d43", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001176", "prompt": "Solve for x: -11(x - 56) + 61 = 9(x + 738) - 7", "solution_steps": ["Expand: -11x + 616 + 61 = 9(x + 738) - 7", "Expand: -11x + 616 + 61 = 9x + 6642 - 7", "Combine constants: -11x + 677 = 9x + 6642 - 7", "Combine constants: -11x + 677 = 9x + 6635", "Subtract 9x from both sides: -20x + 677 = 6635", "Subtract 677 from both sides: -20x = 5958", "Divide both sides by -20: x = -2979/10"], "final_answer": "-2979/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 56) + 61 = 9(x + 738) - 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 56, \"c\": 61, \"d\": 9, \"e\": 738, \"f\": 7}", "seed": "17881324598707217312", "semantic_fingerprint": "sha256:4cefc9464c4f7beb0ea28fc082dd615e50eaeb8d8df2c6ce01b1f2e6e6996be6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001177", "prompt": "What is -129 * (0 - (-282) * 1 + 15)?", "solution_steps": ["Multiply: -282 * 1 = -282", "Subtract: 0 - (-282) = 282", "Add: 282 + 15 = 297", "Multiply: -129 * 297 = -38313"], "final_answer": "-38313", "answer_type": "integer", "kind": "expression", "math_text": "-129 * (0 - (-282) * 1 + 15)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (- n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -129, \"b\": 0, \"c\": -282, \"d\": 1, \"e\": 15}", "seed": "2424575553253297273", "semantic_fingerprint": "sha256:af827119f7c81d2be5965ae23eb9288e135e1045e5c8f3733609ca3eb25e557a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001178", "prompt": "Calculate: 51 / 4 / (639 / (60 * 97))", "solution_steps": ["Divide: 51 / 4 = 51/4", "Multiply: 60 * 97 = 5820", "Divide: 639 / 5820 = 213/1940", "Divide: (51/4) / (213/1940) = 8245/71"], "final_answer": "8245/71", "answer_type": "rational", "kind": "expression", "math_text": "51 / 4 / (639 / (60 * 97))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 4, \"c\": 639, \"d\": 60, \"e\": 97}", "seed": "16709580636216954372", "semantic_fingerprint": "sha256:91681eaed337c9fb70877b09a4b7cb2492505e81a91aa574b6b0d7f94cdc30bc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001179", "prompt": "Solve for x: 4(x - 83) - 37 = -10(x - 33) - 685", "solution_steps": ["Expand: 4x - 332 - 37 = -10(x - 33) - 685", "Expand: 4x - 332 - 37 = -10x + 330 - 685", "Combine constants: 4x - 369 = -10x + 330 - 685", "Combine constants: 4x - 369 = -10x - 355", "Add 10x to both sides: 14x - 369 = -355", "Add 369 to both sides: 14x = 14", "Divide both sides by 14: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 83) - 37 = -10(x - 33) - 685", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 83, \"c\": 37, \"d\": -10, \"e\": 33, \"g\": -685, \"x\": 1}", "seed": "14163944835809231009", "semantic_fingerprint": "sha256:7c0ebf33a8e1c94c731fdb69141107c0231b67268c05c5d12f2a94470fbb6b94", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001180", "prompt": "Calculate: -6 - (-18 * (-138) + (-11))", "solution_steps": ["Multiply: -18 * (-138) = 2484", "Add: 2484 + (-11) = 2473", "Subtract: -6 - 2473 = -2479"], "final_answer": "-2479", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (-18 * (-138) + (-11))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -18, \"c\": -138, \"d\": -11}", "seed": "1855670406503703793", "semantic_fingerprint": "sha256:d56baae06de1417314cb56ac9a035d8525b5bc3d34045e76996f9716205f0425", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001181", "prompt": "Evaluate: (284 / (-28) + (-7)) * 5", "solution_steps": ["Divide: 284 / (-28) = -71/7", "Add: -71/7 + (-7) = -120/7", "Multiply: (-120/7) * 5 = -600/7"], "final_answer": "-600/7", "answer_type": "rational", "kind": "expression", "math_text": "(284 / (-28) + (-7)) * 5", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 284, \"b\": -28, \"c\": -7, \"d\": 5}", "seed": "13357107304810260691", "semantic_fingerprint": "sha256:d647cf81f024f2fde2a67d4c760229d4784db6de4ca974e8416b0c251e0571ca", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001182", "prompt": "Compute: -30 - (-46 + (-780)) / (-6) / (-30)", "solution_steps": ["Add: -46 + (-780) = -826", "Divide: -826 / (-6) = 413/3", "Divide: (413/3) / (-30) = -413/90", "Subtract: -30 - (-413/90) = -2287/90"], "final_answer": "-2287/90", "answer_type": "rational", "kind": "expression", "math_text": "-30 - (-46 + (-780)) / (-6) / (-30)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (/ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": -46, \"c\": -780, \"d\": -6, \"e\": -30}", "seed": "2677366372592436148", "semantic_fingerprint": "sha256:4a96ef884680ea86c59710ac9901c9b6973d5255f225b4c4cd5100caad28f1bd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001183", "prompt": "What is -9 * ((17 * 4 + 54) / (-5 / (-93)))?", "solution_steps": ["Multiply: 17 * 4 = 68", "Add: 68 + 54 = 122", "Divide: -5 / (-93) = 5/93", "Divide: 122 / (5/93) = 11346/5", "Multiply: -9 * (11346/5) = -102114/5"], "final_answer": "-102114/5", "answer_type": "rational", "kind": "expression", "math_text": "-9 * ((17 * 4 + 54) / (-5 / (-93)))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (+ (* n n) n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 17, \"c\": 4, \"d\": 54, \"e\": -5, \"f\": -93}", "seed": "2601276362540132722", "semantic_fingerprint": "sha256:d1bab18be7b164d6846d9e5474336eb5c56c3c9cf8c1247a9cb1561716b646a2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001184", "prompt": "Solve for x: 7(x - 7) = 3x - 93", "solution_steps": ["Expand: 7x - 49 = 3x - 93", "Subtract 3x from both sides: 4x - 49 = -93", "Add 49 to both sides: 4x = -44", "Divide both sides by 4: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 7) = 3x - 93", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 3, \"e\": -93, \"x\": -11}", "seed": "12735163913187861021", "semantic_fingerprint": "sha256:f66ff51eef9f5f9958cace578a620115ec5cf99bcc675416a31a189f8ff7230a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001185", "prompt": "What is 62 - (-971 * (-341) + 5)?", "solution_steps": ["Multiply: -971 * (-341) = 331111", "Add: 331111 + 5 = 331116", "Subtract: 62 - 331116 = -331054"], "final_answer": "-331054", "answer_type": "integer", "kind": "expression", "math_text": "62 - (-971 * (-341) + 5)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -971, \"c\": -341, \"d\": 5}", "seed": "6103836138194870366", "semantic_fingerprint": "sha256:8f5f3974d6a0df3e4bc151376ff2ee6833fd54ac03313e43192bb76e07c8380c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001186", "prompt": "Evaluate: -6 + (-80) / (85 - (-3))", "solution_steps": ["Subtract: 85 - (-3) = 88", "Divide: -80 / 88 = -10/11", "Add: -6 + (-10/11) = -76/11"], "final_answer": "-76/11", "answer_type": "rational", "kind": "expression", "math_text": "-6 + (-80) / (85 - (-3))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -80, \"c\": 85, \"d\": -3}", "seed": "6324266441231700612", "semantic_fingerprint": "sha256:442e2a3a9cbfc2caae2a404ab84e6d782f7ceb04e8ad43bbe690ff5f0a167630", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001187", "prompt": "Find x: 5x - 27 = -10(x + 79) + 898", "solution_steps": ["Expand: 5x - 27 = -10x - 790 + 898", "Combine constants: 5x - 27 = -10x + 108", "Add 10x to both sides: 15x - 27 = 108", "Add 27 to both sides: 15x = 135", "Divide both sides by 15: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 27 = -10(x + 79) + 898", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 27, \"c\": -10, \"d\": 79, \"f\": 898, \"x\": 9}", "seed": "9973922926685597823", "semantic_fingerprint": "sha256:1374be645f76270f00b8147c25ccc6ffcb42c5ac1eb26937c05285ce4e71bf77", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001188", "prompt": "Evaluate: 0 / 95 - (-3 + 402) / (8 * (-94))", "solution_steps": ["Divide: 0 / 95 = 0", "Add: -3 + 402 = 399", "Multiply: 8 * (-94) = -752", "Divide: 399 / (-752) = -399/752", "Subtract: 0 - (-399/752) = 399/752"], "final_answer": "399/752", "answer_type": "rational", "kind": "expression", "math_text": "0 / 95 - (-3 + 402) / (8 * (-94))", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (/ (+ n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 95, \"c\": -3, \"d\": 402, \"e\": 8, \"f\": -94}", "seed": "7168120949603197177", "semantic_fingerprint": "sha256:2c380f06c71ecf1dea47684ad39356969b42240c3634708fea7229212c46d12c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001189", "prompt": "Calculate: -64 / 2 + (-683) / (-401)", "solution_steps": ["Divide: -64 / 2 = -32", "Divide: -683 / (-401) = 683/401", "Add: -32 + 683/401 = -12149/401"], "final_answer": "-12149/401", "answer_type": "rational", "kind": "expression", "math_text": "-64 / 2 + (-683) / (-401)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": 2, \"c\": -683, \"d\": -401}", "seed": "13637248443497866333", "semantic_fingerprint": "sha256:5058b53b13056bcaf4b487eec7b2a96969d5587cf13ac7fc88e76f4814043598", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001190", "prompt": "Calculate: 852 - (-100 - (8 - 1))", "solution_steps": ["Subtract: 8 - 1 = 7", "Subtract: -100 - 7 = -107", "Subtract: 852 - (-107) = 959"], "final_answer": "959", "answer_type": "integer", "kind": "expression", "math_text": "852 - (-100 - (8 - 1))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 852, \"b\": -100, \"c\": 8, \"d\": 1}", "seed": "11077672497337875013", "semantic_fingerprint": "sha256:205fa9fbe6234504a10cc7dd7d593202d71fae18ce176994036873142a309c9d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001191", "prompt": "Find x: 6(x - 501) - 908 = 12(x - 65) - 1", "solution_steps": ["Expand: 6x - 3006 - 908 = 12(x - 65) - 1", "Expand: 6x - 3006 - 908 = 12x - 780 - 1", "Combine constants: 6x - 3914 = 12x - 780 - 1", "Combine constants: 6x - 3914 = 12x - 781", "Subtract 12x from both sides: -6x - 3914 = -781", "Add 3914 to both sides: -6x = 3133", "Divide both sides by -6: x = -3133/6"], "final_answer": "-3133/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 501) - 908 = 12(x - 65) - 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 501, \"c\": 908, \"d\": 12, \"e\": 65, \"f\": 1}", "seed": "12181155937272168060", "semantic_fingerprint": "sha256:6d1553d9cae36fb6a75d643735bc6bd4094f0c6f01614df0e6a4031f0066a3f0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001192", "prompt": "Solve for x: 12(x + 359) + 32 = 7(x + 33) - 54", "solution_steps": ["Expand: 12x + 4308 + 32 = 7(x + 33) - 54", "Expand: 12x + 4308 + 32 = 7x + 231 - 54", "Combine constants: 12x + 4340 = 7x + 231 - 54", "Combine constants: 12x + 4340 = 7x + 177", "Subtract 7x from both sides: 5x + 4340 = 177", "Subtract 4340 from both sides: 5x = -4163", "Divide both sides by 5: x = -4163/5"], "final_answer": "-4163/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 359) + 32 = 7(x + 33) - 54", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 359, \"c\": 32, \"d\": 7, \"e\": 33, \"f\": 54}", "seed": "1676614746278023870", "semantic_fingerprint": "sha256:56b589f0134225f68923cb872c12253d4e5accc8b3a55bf252aedd4fb789ac1b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001193", "prompt": "Compute: 4 * ((984 + (-30 + 992)) / (-20))", "solution_steps": ["Add: -30 + 992 = 962", "Add: 984 + 962 = 1946", "Divide: 1946 / (-20) = -973/10", "Multiply: 4 * (-973/10) = -1946/5"], "final_answer": "-1946/5", "answer_type": "rational", "kind": "expression", "math_text": "4 * ((984 + (-30 + 992)) / (-20))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (+ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 984, \"c\": -30, \"d\": 992, \"e\": -20}", "seed": "257278388288271140", "semantic_fingerprint": "sha256:f7ee171cc14f4b01999f0a027e8c7034f23e68b0b968d3845a8edc2e856396b2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001194", "prompt": "Calculate: -2 * (-6) * 4 / 98 + 82", "solution_steps": ["Multiply: -2 * (-6) = 12", "Multiply: 12 * 4 = 48", "Divide: 48 / 98 = 24/49", "Add: 24/49 + 82 = 4042/49"], "final_answer": "4042/49", "answer_type": "rational", "kind": "expression", "math_text": "-2 * (-6) * 4 / 98 + 82", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -6, \"c\": 4, \"d\": 98, \"e\": 82}", "seed": "1496494630938664620", "semantic_fingerprint": "sha256:44e1f930b470048fd6a1a2aba2dc34407cd5055f1b84512a0bc1c374c51969c6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001195", "prompt": "Evaluate: 40 / (5 * (-2)) - (-7)", "solution_steps": ["Multiply: 5 * (-2) = -10", "Divide: 40 / (-10) = -4", "Subtract: -4 - (-7) = 3"], "final_answer": "3", "answer_type": "integer", "kind": "expression", "math_text": "40 / (5 * (-2)) - (-7)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": 5, \"c\": -2, \"d\": -7}", "seed": "4050459054132990221", "semantic_fingerprint": "sha256:aac85a843ffa2eb776cbe3f891000a8fbafe332656cff2e738b5bfbeb534a806", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001196", "prompt": "Solve the equation 11(x - 4) = -10x - 86 for x.", "solution_steps": ["Expand: 11x - 44 = -10x - 86", "Add 10x to both sides: 21x - 44 = -86", "Add 44 to both sides: 21x = -42", "Divide both sides by 21: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 4) = -10x - 86", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": -10, \"e\": -86, \"x\": -2}", "seed": "7598503632939972550", "semantic_fingerprint": "sha256:2621d8df831b1aa2316411eb9e771666ae3933d39ca36b5f41fd5b23ea0462a6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001197", "prompt": "What value of x satisfies x - 23 = 11(x - 2) + 49?", "solution_steps": ["Expand: x - 23 = 11x - 22 + 49", "Combine constants: x - 23 = 11x + 27", "Subtract 11x from both sides: -10x - 23 = 27", "Add 23 to both sides: -10x = 50", "Divide both sides by -10: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 23 = 11(x - 2) + 49", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 11, \"c\": 2, \"e\": 49, \"x\": -5}", "seed": "2594419948073717558", "semantic_fingerprint": "sha256:7a8f6c761a9792f1f7432069b435d0e9321827b5e83414567e0c4f46f6171c5d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001198", "prompt": "Solve for x: 9(x - 702) + 5 = 11(x - 8)", "solution_steps": ["Expand: 9x - 6318 + 5 = 11(x - 8)", "Expand: 9x - 6318 + 5 = 11x - 88", "Combine constants: 9x - 6313 = 11x - 88", "Subtract 11x from both sides: -2x - 6313 = -88", "Add 6313 to both sides: -2x = 6225", "Divide both sides by -2: x = -6225/2"], "final_answer": "-6225/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 702) + 5 = 11(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 702, \"c\": 5, \"d\": 11, \"e\": 8}", "seed": "8485639893161219048", "semantic_fingerprint": "sha256:ec99e8d1ff0e8c5aafc523e0a53ef1d5f9a8678e9480986b5d7b7c882e931dad", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001199", "prompt": "What is -25 * (33 * (-24)) - 63?", "solution_steps": ["Multiply: 33 * (-24) = -792", "Multiply: -25 * (-792) = 19800", "Subtract: 19800 - 63 = 19737"], "final_answer": "19737", "answer_type": "integer", "kind": "expression", "math_text": "-25 * (33 * (-24)) - 63", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 33, \"c\": -24, \"d\": 63}", "seed": "6546005591328504298", "semantic_fingerprint": "sha256:c24c7e545c834ab2627eef6d71484695a19fcca0bb983ad9e08e233c29e9b6c4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001200", "prompt": "What is -3 + 5 - (-959) - 95 + (-9)?", "solution_steps": ["Add: -3 + 5 = 2", "Subtract: 2 - (-959) = 961", "Subtract: 961 - 95 = 866", "Add: 866 + (-9) = 857"], "final_answer": "857", "answer_type": "integer", "kind": "expression", "math_text": "-3 + 5 - (-959) - 95 + (-9)", "variable": null, "family": "expression_4op", "shape": "(+ (- (- (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 5, \"c\": -959, \"d\": 95, \"e\": -9}", "seed": "11424639169665468143", "semantic_fingerprint": "sha256:40b49b3d725478f58e055f366026b39d87d04ccdcc347fca1de039542b3bab2c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001201", "prompt": "Evaluate: (193 - (-95) / (-133)) / (-98)", "solution_steps": ["Divide: -95 / (-133) = 5/7", "Subtract: 193 - 5/7 = 1346/7", "Divide: (1346/7) / (-98) = -673/343"], "final_answer": "-673/343", "answer_type": "rational", "kind": "expression", "math_text": "(193 - (-95) / (-133)) / (-98)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 193, \"b\": -95, \"c\": -133, \"d\": -98}", "seed": "2130396086688109010", "semantic_fingerprint": "sha256:e16ae1a39347f58f6c7e76725e11a540eb285d63c31fb311e743592416ca57d6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001202", "prompt": "What is 4 - (-15) * (-8) - (1 + (94 + (-27)))?", "solution_steps": ["Multiply: -15 * (-8) = 120", "Subtract: 4 - 120 = -116", "Add: 94 + (-27) = 67", "Add: 1 + 67 = 68", "Subtract: -116 - 68 = -184"], "final_answer": "-184", "answer_type": "integer", "kind": "expression", "math_text": "4 - (-15) * (-8) - (1 + (94 + (-27)))", "variable": null, "family": "expression_5op", "shape": "(- (- n (* n n)) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -15, \"c\": -8, \"d\": 1, \"e\": 94, \"f\": -27}", "seed": "4609396455341541026", "semantic_fingerprint": "sha256:36c328087ba00f298eb28e204c6ec05b69994e43c15bc94fdb75b65391e6f42f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001203", "prompt": "Calculate: (-79 - (-63) + 1) * 39", "solution_steps": ["Subtract: -79 - (-63) = -16", "Add: -16 + 1 = -15", "Multiply: -15 * 39 = -585"], "final_answer": "-585", "answer_type": "integer", "kind": "expression", "math_text": "(-79 - (-63) + 1) * 39", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -63, \"c\": 1, \"d\": 39}", "seed": "7035108738087404203", "semantic_fingerprint": "sha256:03d47ed6dc9d955fb63669df0f7767215a7ae7f0da3578d241dbfd7b6096ed07", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001204", "prompt": "Evaluate: (0 + (-9) * 733) / (78 / 50)", "solution_steps": ["Multiply: -9 * 733 = -6597", "Add: 0 + (-6597) = -6597", "Divide: 78 / 50 = 39/25", "Divide: -6597 / (39/25) = -54975/13"], "final_answer": "-54975/13", "answer_type": "rational", "kind": "expression", "math_text": "(0 + (-9) * 733) / (78 / 50)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -9, \"c\": 733, \"d\": 78, \"e\": 50}", "seed": "5566542233184038222", "semantic_fingerprint": "sha256:d3ba49c26639bdfb5ee991ff153c16b08ab5e3161cc425a2a1563e13c8e62aab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001205", "prompt": "Evaluate: (-455 + (-2) / (-5)) * ((-37 - 46) / (-84))", "solution_steps": ["Divide: -2 / (-5) = 2/5", "Add: -455 + 2/5 = -2273/5", "Subtract: -37 - 46 = -83", "Divide: -83 / (-84) = 83/84", "Multiply: (-2273/5) * (83/84) = -188659/420"], "final_answer": "-188659/420", "answer_type": "rational", "kind": "expression", "math_text": "(-455 + (-2) / (-5)) * ((-37 - 46) / (-84))", "variable": null, "family": "expression_5op", "shape": "(* (+ n (/ n n)) (/ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -455, \"b\": -2, \"c\": -5, \"d\": -37, \"e\": 46, \"f\": -84}", "seed": "8290188893259918638", "semantic_fingerprint": "sha256:ab6c34302813ea2ac0d7dbfb06278dd557e5a6ff5e8c03a37d754ff7b302bd15", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001206", "prompt": "Calculate: (-650 - 9) * (86 / 702)", "solution_steps": ["Subtract: -650 - 9 = -659", "Divide: 86 / 702 = 43/351", "Multiply: -659 * (43/351) = -28337/351"], "final_answer": "-28337/351", "answer_type": "rational", "kind": "expression", "math_text": "(-650 - 9) * (86 / 702)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -650, \"b\": 9, \"c\": 86, \"d\": 702}", "seed": "7657785594614248838", "semantic_fingerprint": "sha256:8f404b0e25eec93e13c6fa48b72e45c20fb86ce56cf4dd8e9165f01c12ff7d95", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001207", "prompt": "Calculate: 32 - 43 / (35 / (-8)) * (-268)", "solution_steps": ["Divide: 35 / (-8) = -35/8", "Divide: 43 / (-35/8) = -344/35", "Multiply: (-344/35) * (-268) = 92192/35", "Subtract: 32 - 92192/35 = -91072/35"], "final_answer": "-91072/35", "answer_type": "rational", "kind": "expression", "math_text": "32 - 43 / (35 / (-8)) * (-268)", "variable": null, "family": "expression_4op", "shape": "(- n (* (/ n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": 43, \"c\": 35, \"d\": -8, \"e\": -268}", "seed": "5552506593378829296", "semantic_fingerprint": "sha256:e5ebbf86a3118c1db4bb23aab343a97398736544fb8c61bcfd1fe4b14b7e1b59", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001208", "prompt": "Calculate: -135 - (-3) - 376 * (0 * 38)", "solution_steps": ["Subtract: -135 - (-3) = -132", "Multiply: 0 * 38 = 0", "Multiply: 376 * 0 = 0", "Subtract: -132 - 0 = -132"], "final_answer": "-132", "answer_type": "integer", "kind": "expression", "math_text": "-135 - (-3) - 376 * (0 * 38)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -135, \"b\": -3, \"c\": 376, \"d\": 0, \"e\": 38}", "seed": "14837827563478688911", "semantic_fingerprint": "sha256:6cf6e141be7343801175b7b1b25e0ba6866901af6bb5c15f901526c5edfd979f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001209", "prompt": "What is (316 / (-958) + (-4)) * 8?", "solution_steps": ["Divide: 316 / (-958) = -158/479", "Add: -158/479 + (-4) = -2074/479", "Multiply: (-2074/479) * 8 = -16592/479"], "final_answer": "-16592/479", "answer_type": "rational", "kind": "expression", "math_text": "(316 / (-958) + (-4)) * 8", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 316, \"b\": -958, \"c\": -4, \"d\": 8}", "seed": "8013729582322549370", "semantic_fingerprint": "sha256:db697af83bc139d37b6befb2177923df87f48ac8a473f23c04c2b2be7e06524f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001210", "prompt": "What is 0 / 5 * (-283 / (-7) / 2)?", "solution_steps": ["Divide: 0 / 5 = 0", "Divide: -283 / (-7) = 283/7", "Divide: (283/7) / 2 = 283/14", "Multiply: 0 * (283/14) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / 5 * (-283 / (-7) / 2)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 5, \"c\": -283, \"d\": -7, \"e\": 2}", "seed": "7012014812854389454", "semantic_fingerprint": "sha256:79c3afe7422fa6e2c13b68c1cce6525f467c2480d96c880389a23d7975d4d856", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001211", "prompt": "What is 0 / (49 + (-2) - 5 / (-49))?", "solution_steps": ["Add: 49 + (-2) = 47", "Divide: 5 / (-49) = -5/49", "Subtract: 47 - (-5/49) = 2308/49", "Divide: 0 / (2308/49) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (49 + (-2) - 5 / (-49))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (+ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 49, \"c\": -2, \"d\": 5, \"e\": -49}", "seed": "16620042048444974155", "semantic_fingerprint": "sha256:afa7b6d8dd6e5f6a311bbcf1391457b0c625ea096e49f7fa62d057f07c32bceb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001212", "prompt": "Evaluate: -6 * ((-29 - (-77) - 67 + (-49)) / (-8))", "solution_steps": ["Subtract: -29 - (-77) = 48", "Subtract: 48 - 67 = -19", "Add: -19 + (-49) = -68", "Divide: -68 / (-8) = 17/2", "Multiply: -6 * (17/2) = -51"], "final_answer": "-51", "answer_type": "integer", "kind": "expression", "math_text": "-6 * ((-29 - (-77) - 67 + (-49)) / (-8))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (+ (- (- n n) n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -29, \"c\": -77, \"d\": 67, \"e\": -49, \"f\": -8}", "seed": "14993909604629544523", "semantic_fingerprint": "sha256:35021393cb888bd7e6ff78702a0b347955a02ac47609f7727cd17fac51d19f07", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001213", "prompt": "Compute: (0 - (-52)) / (62 - (-75) * 37)", "solution_steps": ["Subtract: 0 - (-52) = 52", "Multiply: -75 * 37 = -2775", "Subtract: 62 - (-2775) = 2837", "Divide: 52 / 2837 = 52/2837"], "final_answer": "52/2837", "answer_type": "rational", "kind": "expression", "math_text": "(0 - (-52)) / (62 - (-75) * 37)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -52, \"c\": 62, \"d\": -75, \"e\": 37}", "seed": "15617776309346791807", "semantic_fingerprint": "sha256:99735ed28a02ef5f1adb6f8ea9ee7035a6433ccbb19865c4a1010b4ad348d042", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001214", "prompt": "What is -9 - (42 + (-9 + (-869) - 0)) / 1?", "solution_steps": ["Add: -9 + (-869) = -878", "Subtract: -878 - 0 = -878", "Add: 42 + (-878) = -836", "Divide: -836 / 1 = -836", "Subtract: -9 - (-836) = 827"], "final_answer": "827", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (42 + (-9 + (-869) - 0)) / 1", "variable": null, "family": "expression_5op", "shape": "(- n (/ (+ n (- (+ n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 42, \"c\": -9, \"d\": -869, \"e\": 0, \"f\": 1}", "seed": "16754865309153033389", "semantic_fingerprint": "sha256:471177a50511509845e3a6b4d3db8fbb6c4db0ca3342342db9e2e9257d73c6de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001215", "prompt": "Calculate: -573 + 69 * (-538 - 47) / (0 - (-6))", "solution_steps": ["Subtract: -538 - 47 = -585", "Multiply: 69 * (-585) = -40365", "Subtract: 0 - (-6) = 6", "Divide: -40365 / 6 = -13455/2", "Add: -573 + (-13455/2) = -14601/2"], "final_answer": "-14601/2", "answer_type": "rational", "kind": "expression", "math_text": "-573 + 69 * (-538 - 47) / (0 - (-6))", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (* n (- n n)) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -573, \"b\": 69, \"c\": -538, \"d\": 47, \"e\": 0, \"f\": -6}", "seed": "8778536260704224827", "semantic_fingerprint": "sha256:1d15b06fb494994765b1ad5096733f43c4a3dcd4031c2c4cb3ca926b833990c8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001216", "prompt": "What is 14 / (-11 * (-56)) - 86?", "solution_steps": ["Multiply: -11 * (-56) = 616", "Divide: 14 / 616 = 1/44", "Subtract: 1/44 - 86 = -3783/44"], "final_answer": "-3783/44", "answer_type": "rational", "kind": "expression", "math_text": "14 / (-11 * (-56)) - 86", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -11, \"c\": -56, \"d\": 86}", "seed": "17900406814159413548", "semantic_fingerprint": "sha256:607299b5ed25f4aef8bd38b6389ed766139f57c1fd7ebdf857c317f7b8c1422e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001217", "prompt": "Solve the equation 10(x - 44) = -9x - 345 for x.", "solution_steps": ["Expand: 10x - 440 = -9x - 345", "Add 9x to both sides: 19x - 440 = -345", "Add 440 to both sides: 19x = 95", "Divide both sides by 19: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 44) = -9x - 345", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 44, \"c\": -9, \"e\": -345, \"x\": 5}", "seed": "118131059241881264", "semantic_fingerprint": "sha256:4b05c20cb6cbb4f9240326d8397b418cd7395bfa7f37b767668a728e88f88479", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001218", "prompt": "What value of x satisfies x - 33 = 10(x - 82) + 875?", "solution_steps": ["Expand: x - 33 = 10x - 820 + 875", "Combine constants: x - 33 = 10x + 55", "Subtract 10x from both sides: -9x - 33 = 55", "Add 33 to both sides: -9x = 88", "Divide both sides by -9: x = -88/9"], "final_answer": "-88/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 33 = 10(x - 82) + 875", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 10, \"c\": 82, \"d\": 875}", "seed": "6765853452781165789", "semantic_fingerprint": "sha256:136b682f54d8bd99b94b1ce5495730e9ae72c39fd5afa259c74d40def7a800c5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001219", "prompt": "What value of x satisfies 4(x - 93) + 3 = -8(x + 790) - 309?", "solution_steps": ["Expand: 4x - 372 + 3 = -8(x + 790) - 309", "Expand: 4x - 372 + 3 = -8x - 6320 - 309", "Combine constants: 4x - 369 = -8x - 6320 - 309", "Combine constants: 4x - 369 = -8x - 6629", "Add 8x to both sides: 12x - 369 = -6629", "Add 369 to both sides: 12x = -6260", "Divide both sides by 12: x = -1565/3"], "final_answer": "-1565/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 93) + 3 = -8(x + 790) - 309", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 93, \"c\": 3, \"d\": -8, \"e\": 790, \"f\": 309}", "seed": "1059955748960138991", "semantic_fingerprint": "sha256:6ea73c0e94f5015268cf0691daa8e5b845d0dc63aded7c46c7e77c8e221c883f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001220", "prompt": "Compute: (800 + 26) / (-611 / (-79))", "solution_steps": ["Add: 800 + 26 = 826", "Divide: -611 / (-79) = 611/79", "Divide: 826 / (611/79) = 65254/611"], "final_answer": "65254/611", "answer_type": "rational", "kind": "expression", "math_text": "(800 + 26) / (-611 / (-79))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 800, \"b\": 26, \"c\": -611, \"d\": -79}", "seed": "225722182504854779", "semantic_fingerprint": "sha256:8898f464011fd5d679eca952339e3276a841517be70284ae463e478cec8278ef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001221", "prompt": "Calculate: 18 * (-3 / (-762) / (-8))", "solution_steps": ["Divide: -3 / (-762) = 1/254", "Divide: (1/254) / (-8) = -1/2032", "Multiply: 18 * (-1/2032) = -9/1016"], "final_answer": "-9/1016", "answer_type": "rational", "kind": "expression", "math_text": "18 * (-3 / (-762) / (-8))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": -3, \"c\": -762, \"d\": -8}", "seed": "5910393404301360727", "semantic_fingerprint": "sha256:727f2d2ea486991df868bb71d56bd30641431cc4258cee7a546b3dc91539f5b8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001222", "prompt": "Evaluate: (-28 - (-65)) * (39 * 10)", "solution_steps": ["Subtract: -28 - (-65) = 37", "Multiply: 39 * 10 = 390", "Multiply: 37 * 390 = 14430"], "final_answer": "14430", "answer_type": "integer", "kind": "expression", "math_text": "(-28 - (-65)) * (39 * 10)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": -65, \"c\": 39, \"d\": 10}", "seed": "7131658431259812708", "semantic_fingerprint": "sha256:0c80ebd54fb87a095c9dccb578b82d1c190ba820da0de7d70f2778e879728fcd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001223", "prompt": "Solve the equation 2(x - 9) - 26 = 12(x - 2) for x.", "solution_steps": ["Expand: 2x - 18 - 26 = 12(x - 2)", "Expand: 2x - 18 - 26 = 12x - 24", "Combine constants: 2x - 44 = 12x - 24", "Subtract 12x from both sides: -10x - 44 = -24", "Add 44 to both sides: -10x = 20", "Divide both sides by -10: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 9) - 26 = 12(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 12, \"d\": 2, \"f\": -26, \"x\": -2}", "seed": "11933776027746124634", "semantic_fingerprint": "sha256:3e946b9fb1250ea6e28775390a516113a528122a41f0ab640c5d86242f17c26c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001224", "prompt": "What is (-7 / (-6) + 100) * 558?", "solution_steps": ["Divide: -7 / (-6) = 7/6", "Add: 7/6 + 100 = 607/6", "Multiply: (607/6) * 558 = 56451"], "final_answer": "56451", "answer_type": "integer", "kind": "expression", "math_text": "(-7 / (-6) + 100) * 558", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -6, \"c\": 100, \"d\": 558}", "seed": "5208496765435746826", "semantic_fingerprint": "sha256:1f88199dc0e4d02c8062177d8842d559dd81f6dc7da40d1a769031ed63c4bb16", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001225", "prompt": "What is -58 + 382 - (-5) + (-49)?", "solution_steps": ["Add: -58 + 382 = 324", "Subtract: 324 - (-5) = 329", "Add: 329 + (-49) = 280"], "final_answer": "280", "answer_type": "integer", "kind": "expression", "math_text": "-58 + 382 - (-5) + (-49)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": 382, \"c\": -5, \"d\": -49}", "seed": "6069881316328004216", "semantic_fingerprint": "sha256:9c51decb7e2b022ba94cf7de91e0e4c9be007ef09b9f3df5fd5cbd5f8b015753", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001226", "prompt": "What is (-32 - (-39)) * (-96 * 8)?", "solution_steps": ["Subtract: -32 - (-39) = 7", "Multiply: -96 * 8 = -768", "Multiply: 7 * (-768) = -5376"], "final_answer": "-5376", "answer_type": "integer", "kind": "expression", "math_text": "(-32 - (-39)) * (-96 * 8)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": -39, \"c\": -96, \"d\": 8}", "seed": "13952232072306582622", "semantic_fingerprint": "sha256:b0850ed80ca22de4b78e42fda102acc3b2e469c2ad21b60f63def0a8d44fa4d1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001227", "prompt": "Find x: 3(x - 59) + 653 = 9x + 2", "solution_steps": ["Expand: 3x - 177 + 653 = 9x + 2", "Combine constants: 3x + 476 = 9x + 2", "Subtract 9x from both sides: -6x + 476 = 2", "Subtract 476 from both sides: -6x = -474", "Divide both sides by -6: x = 79"], "final_answer": "79", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 59) + 653 = 9x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 59, \"c\": 653, \"d\": 9, \"e\": 2}", "seed": "4427310576768392165", "semantic_fingerprint": "sha256:a33007fd4d12ac8bf194aa48f104db73488311b86ef66152335d2392ad8d92ed", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001228", "prompt": "Solve the equation 8(x - 84) - 2 = 6(x - 372) - 768 for x.", "solution_steps": ["Expand: 8x - 672 - 2 = 6(x - 372) - 768", "Expand: 8x - 672 - 2 = 6x - 2232 - 768", "Combine constants: 8x - 674 = 6x - 2232 - 768", "Combine constants: 8x - 674 = 6x - 3000", "Subtract 6x from both sides: 2x - 674 = -3000", "Add 674 to both sides: 2x = -2326", "Divide both sides by 2: x = -1163"], "final_answer": "-1163", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 84) - 2 = 6(x - 372) - 768", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 84, \"c\": 2, \"d\": 6, \"e\": 372, \"f\": 768}", "seed": "15566780510269880751", "semantic_fingerprint": "sha256:dae7bd8a18178e917d7d68a2f18f542329af5af425f7abc1898fc79439b6b66d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001229", "prompt": "Evaluate: 2 * ((-748 - 2) / (-6 / (-81)))", "solution_steps": ["Subtract: -748 - 2 = -750", "Divide: -6 / (-81) = 2/27", "Divide: -750 / (2/27) = -10125", "Multiply: 2 * (-10125) = -20250"], "final_answer": "-20250", "answer_type": "integer", "kind": "expression", "math_text": "2 * ((-748 - 2) / (-6 / (-81)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -748, \"c\": 2, \"d\": -6, \"e\": -81}", "seed": "11848784169027100117", "semantic_fingerprint": "sha256:a840d9cc9b7b69327b5343c74f659adf1be7f243acf867e2ae86e39db73c366b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001230", "prompt": "What is 762 - 43 / (248 * 2)?", "solution_steps": ["Multiply: 248 * 2 = 496", "Divide: 43 / 496 = 43/496", "Subtract: 762 - 43/496 = 377909/496"], "final_answer": "377909/496", "answer_type": "rational", "kind": "expression", "math_text": "762 - 43 / (248 * 2)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 762, \"b\": 43, \"c\": 248, \"d\": 2}", "seed": "11017852881965655305", "semantic_fingerprint": "sha256:81f5619914d80f7d0b49f46000615adcc8410f5dd8f5c4a7075969281cf92d41", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001231", "prompt": "Calculate: (951 + (92 / 38 - (-6))) / (-473 * 1)", "solution_steps": ["Divide: 92 / 38 = 46/19", "Subtract: 46/19 - (-6) = 160/19", "Add: 951 + 160/19 = 18229/19", "Multiply: -473 * 1 = -473", "Divide: (18229/19) / (-473) = -18229/8987"], "final_answer": "-18229/8987", "answer_type": "rational", "kind": "expression", "math_text": "(951 + (92 / 38 - (-6))) / (-473 * 1)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (- (/ n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 951, \"b\": 92, \"c\": 38, \"d\": -6, \"e\": -473, \"f\": 1}", "seed": "5961998757219526372", "semantic_fingerprint": "sha256:f2f4bf21517f2de5282c80e3165dc0df9e0aee325baeb177b39879a1842c56aa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001232", "prompt": "Find x: -7(x - 8) + 17 = 7(x - 3)", "solution_steps": ["Expand: -7x + 56 + 17 = 7(x - 3)", "Expand: -7x + 56 + 17 = 7x - 21", "Combine constants: -7x + 73 = 7x - 21", "Subtract 7x from both sides: -14x + 73 = -21", "Subtract 73 from both sides: -14x = -94", "Divide both sides by -14: x = 47/7"], "final_answer": "47/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x - 8) + 17 = 7(x - 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 8, \"c\": 17, \"d\": 7, \"e\": 3}", "seed": "5161524104229610579", "semantic_fingerprint": "sha256:d3c47563fcbd6f22ab02b66e51729f1e32799f53426a7bbaf898d720d7f8f853", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001233", "prompt": "Find x: 9(x - 4) - 4 = 12(x - 62) - 15", "solution_steps": ["Expand: 9x - 36 - 4 = 12(x - 62) - 15", "Expand: 9x - 36 - 4 = 12x - 744 - 15", "Combine constants: 9x - 40 = 12x - 744 - 15", "Combine constants: 9x - 40 = 12x - 759", "Subtract 12x from both sides: -3x - 40 = -759", "Add 40 to both sides: -3x = -719", "Divide both sides by -3: x = 719/3"], "final_answer": "719/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 4) - 4 = 12(x - 62) - 15", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": 4, \"d\": 12, \"e\": 62, \"f\": 15}", "seed": "6427882549320550587", "semantic_fingerprint": "sha256:1ad88ff2dc921aa9a025bfe21ef04a89de562d3b3e90129bda6101958c568264", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001234", "prompt": "Solve for x: 7(x - 49) + 253 = 4(x + 34) - 241", "solution_steps": ["Expand: 7x - 343 + 253 = 4(x + 34) - 241", "Expand: 7x - 343 + 253 = 4x + 136 - 241", "Combine constants: 7x - 90 = 4x + 136 - 241", "Combine constants: 7x - 90 = 4x - 105", "Subtract 4x from both sides: 3x - 90 = -105", "Add 90 to both sides: 3x = -15", "Divide both sides by 3: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 49) + 253 = 4(x + 34) - 241", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 49, \"c\": 253, \"d\": 4, \"e\": 34, \"g\": -241, \"x\": -5}", "seed": "14745074482862079510", "semantic_fingerprint": "sha256:65dc17515d294dc39c6d01859a2cb7454ec8a98f2507f83b6809f2250096b5ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001235", "prompt": "What is -52 / (-5 / (40 * (-51)))?", "solution_steps": ["Multiply: 40 * (-51) = -2040", "Divide: -5 / (-2040) = 1/408", "Divide: -52 / (1/408) = -21216"], "final_answer": "-21216", "answer_type": "integer", "kind": "expression", "math_text": "-52 / (-5 / (40 * (-51)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": -5, \"c\": 40, \"d\": -51}", "seed": "17806105366425821979", "semantic_fingerprint": "sha256:5539efe11ee4ce0911570379e0234f739ab087c91c05b4d8c94a5000279f2c22", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001236", "prompt": "What value of x satisfies 6(x + 84) + 13 = 2(x + 888) - 549?", "solution_steps": ["Expand: 6x + 504 + 13 = 2(x + 888) - 549", "Expand: 6x + 504 + 13 = 2x + 1776 - 549", "Combine constants: 6x + 517 = 2x + 1776 - 549", "Combine constants: 6x + 517 = 2x + 1227", "Subtract 2x from both sides: 4x + 517 = 1227", "Subtract 517 from both sides: 4x = 710", "Divide both sides by 4: x = 355/2"], "final_answer": "355/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 84) + 13 = 2(x + 888) - 549", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 84, \"c\": 13, \"d\": 2, \"e\": 888, \"f\": 549}", "seed": "565809734474280061", "semantic_fingerprint": "sha256:abb68401962380eb9349e0a573c16894e15a2cfca1347bae6266060a02ba5ce0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001237", "prompt": "What is 458 + ((-9 + 9) * 6 + (-9))?", "solution_steps": ["Add: -9 + 9 = 0", "Multiply: 0 * 6 = 0", "Add: 0 + (-9) = -9", "Add: 458 + (-9) = 449"], "final_answer": "449", "answer_type": "integer", "kind": "expression", "math_text": "458 + ((-9 + 9) * 6 + (-9))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 458, \"b\": -9, \"c\": 9, \"d\": 6, \"e\": -9}", "seed": "15769241981580639980", "semantic_fingerprint": "sha256:191d34e1df97fd74daec3357c762987d937d28c9aee5291ef0a030c9e837a043", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001238", "prompt": "Evaluate: (-8 + 7) * 26 - 834 / (-43)", "solution_steps": ["Add: -8 + 7 = -1", "Multiply: -1 * 26 = -26", "Divide: 834 / (-43) = -834/43", "Subtract: -26 - (-834/43) = -284/43"], "final_answer": "-284/43", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + 7) * 26 - 834 / (-43)", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 7, \"c\": 26, \"d\": 834, \"e\": -43}", "seed": "5999357475905489252", "semantic_fingerprint": "sha256:a85f1b05f57d8511042a855affd209ed10cbe671371ac1267d1eba8a1e104218", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001239", "prompt": "Evaluate: -6 + 755 - (9 + 937)", "solution_steps": ["Add: -6 + 755 = 749", "Add: 9 + 937 = 946", "Subtract: 749 - 946 = -197"], "final_answer": "-197", "answer_type": "integer", "kind": "expression", "math_text": "-6 + 755 - (9 + 937)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 755, \"c\": 9, \"d\": 937}", "seed": "15602086013823816022", "semantic_fingerprint": "sha256:8166c6bd6bafef248a145f1071eace9671be71ba75a5132824df8b8624de1ab3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001240", "prompt": "Evaluate: (-2 / 32 + (-7)) * 9", "solution_steps": ["Divide: -2 / 32 = -1/16", "Add: -1/16 + (-7) = -113/16", "Multiply: (-113/16) * 9 = -1017/16"], "final_answer": "-1017/16", "answer_type": "rational", "kind": "expression", "math_text": "(-2 / 32 + (-7)) * 9", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 32, \"c\": -7, \"d\": 9}", "seed": "3223430785126779572", "semantic_fingerprint": "sha256:962f5f70f17a94440acd542333fb1a671a1143f68d3090ac2c2de006f1053b52", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001241", "prompt": "What is 9 / (259 * (-87 / (-7) * 9))?", "solution_steps": ["Divide: -87 / (-7) = 87/7", "Multiply: (87/7) * 9 = 783/7", "Multiply: 259 * (783/7) = 28971", "Divide: 9 / 28971 = 1/3219"], "final_answer": "1/3219", "answer_type": "rational", "kind": "expression", "math_text": "9 / (259 * (-87 / (-7) * 9))", "variable": null, "family": "expression_4op", "shape": "(/ n (* n (* (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 259, \"c\": -87, \"d\": -7, \"e\": 9}", "seed": "10136807263297081956", "semantic_fingerprint": "sha256:de9d7b36ff06992318c7990a6f424a3b01e54d3c6fff9cbd6eee592d42bdf18b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001242", "prompt": "Solve for x: 3(x - 491) - 7 = 2(x - 224) - 582", "solution_steps": ["Expand: 3x - 1473 - 7 = 2(x - 224) - 582", "Expand: 3x - 1473 - 7 = 2x - 448 - 582", "Combine constants: 3x - 1480 = 2x - 448 - 582", "Combine constants: 3x - 1480 = 2x - 1030", "Subtract 2x from both sides: x - 1480 = -1030", "Add 1480 to both sides: x = 450"], "final_answer": "450", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 491) - 7 = 2(x - 224) - 582", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 491, \"c\": 7, \"d\": 2, \"e\": 224, \"f\": 582}", "seed": "6025301682797905401", "semantic_fingerprint": "sha256:07939d8339fe905f79389d6194e87469d8f4e1cd7346e5f44aeb2dd20c5aca33", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001243", "prompt": "What value of x satisfies -9x - 881 = 7(x + 143) + 2?", "solution_steps": ["Expand: -9x - 881 = 7x + 1001 + 2", "Combine constants: -9x - 881 = 7x + 1003", "Subtract 7x from both sides: -16x - 881 = 1003", "Add 881 to both sides: -16x = 1884", "Divide both sides by -16: x = -471/4"], "final_answer": "-471/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x - 881 = 7(x + 143) + 2", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 881, \"c\": 7, \"d\": 143, \"e\": 2}", "seed": "2459383001762028636", "semantic_fingerprint": "sha256:58def2850345abe6a7391b24bc8313a08c95eb103d67e1c4b83f813da788752d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001244", "prompt": "Calculate: (591 - 833) * (-424 * (-3))", "solution_steps": ["Subtract: 591 - 833 = -242", "Multiply: -424 * (-3) = 1272", "Multiply: -242 * 1272 = -307824"], "final_answer": "-307824", "answer_type": "integer", "kind": "expression", "math_text": "(591 - 833) * (-424 * (-3))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 591, \"b\": 833, \"c\": -424, \"d\": -3}", "seed": "3417189544929050917", "semantic_fingerprint": "sha256:272d118a6c0e5756c64b5fe0e909fc8cb8e4e69b4cdc1d49280b6fc474e1cd53", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001245", "prompt": "Calculate: 920 / (-63 * (32 * (-23)) * 17)", "solution_steps": ["Multiply: 32 * (-23) = -736", "Multiply: -63 * (-736) = 46368", "Multiply: 46368 * 17 = 788256", "Divide: 920 / 788256 = 5/4284"], "final_answer": "5/4284", "answer_type": "rational", "kind": "expression", "math_text": "920 / (-63 * (32 * (-23)) * 17)", "variable": null, "family": "expression_4op", "shape": "(/ n (* (* n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 920, \"b\": -63, \"c\": 32, \"d\": -23, \"e\": 17}", "seed": "18235597870726372823", "semantic_fingerprint": "sha256:8211082f72c9f1d7838bf277c451d042aa90081450ffb0b3f618e592cbfb2452", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001246", "prompt": "Evaluate: 8 * (-2 / 29 / (-530))", "solution_steps": ["Divide: -2 / 29 = -2/29", "Divide: (-2/29) / (-530) = 1/7685", "Multiply: 8 * (1/7685) = 8/7685"], "final_answer": "8/7685", "answer_type": "rational", "kind": "expression", "math_text": "8 * (-2 / 29 / (-530))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -2, \"c\": 29, \"d\": -530}", "seed": "195501115087590245", "semantic_fingerprint": "sha256:b8a50d36e26b97931e94866cd9060b3c98b3d2075aea8cb8e7d8f75a19af6213", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001247", "prompt": "Solve for x: 9(x - 97) + 682 = 12(x + 4) - 269", "solution_steps": ["Expand: 9x - 873 + 682 = 12(x + 4) - 269", "Expand: 9x - 873 + 682 = 12x + 48 - 269", "Combine constants: 9x - 191 = 12x + 48 - 269", "Combine constants: 9x - 191 = 12x - 221", "Subtract 12x from both sides: -3x - 191 = -221", "Add 191 to both sides: -3x = -30", "Divide both sides by -3: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 97) + 682 = 12(x + 4) - 269", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 97, \"c\": 682, \"d\": 12, \"e\": 4, \"g\": -269, \"x\": 10}", "seed": "14566592490209730144", "semantic_fingerprint": "sha256:f0852bac33492c3eb0842fab595d28748794663f191315b872cc94316afb440f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001248", "prompt": "Solve for x: 3x - 7 = 8(x + 1) + 25", "solution_steps": ["Expand: 3x - 7 = 8x + 8 + 25", "Combine constants: 3x - 7 = 8x + 33", "Subtract 8x from both sides: -5x - 7 = 33", "Add 7 to both sides: -5x = 40", "Divide both sides by -5: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 7 = 8(x + 1) + 25", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 8, \"d\": 1, \"f\": 25, \"x\": -8}", "seed": "12103996582019471127", "semantic_fingerprint": "sha256:b4181249fe385594328ef55a58c03a41c6464fccb6f19edb96e0b61783007156", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001249", "prompt": "What is -1 - (-36 * (-4) + 1)?", "solution_steps": ["Multiply: -36 * (-4) = 144", "Add: 144 + 1 = 145", "Subtract: -1 - 145 = -146"], "final_answer": "-146", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (-36 * (-4) + 1)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -36, \"c\": -4, \"d\": 1}", "seed": "10154221849218581307", "semantic_fingerprint": "sha256:465df5a8edae3876cd4a4918c15bd526811300703b32eee6313d460604004b8c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001250", "prompt": "What is 2 * ((671 - 1) * (-94) + 194)?", "solution_steps": ["Subtract: 671 - 1 = 670", "Multiply: 670 * (-94) = -62980", "Add: -62980 + 194 = -62786", "Multiply: 2 * (-62786) = -125572"], "final_answer": "-125572", "answer_type": "integer", "kind": "expression", "math_text": "2 * ((671 - 1) * (-94) + 194)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (* (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 671, \"c\": 1, \"d\": -94, \"e\": 194}", "seed": "12930398444888251514", "semantic_fingerprint": "sha256:01bf3c9d8eb9c741408aaf88f61c4d6ca9f754a6a708b664fc1b777a362ef373", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001251", "prompt": "Calculate: -71 * ((-171 - 53) / (2 / (-4)))", "solution_steps": ["Subtract: -171 - 53 = -224", "Divide: 2 / (-4) = -1/2", "Divide: -224 / (-1/2) = 448", "Multiply: -71 * 448 = -31808"], "final_answer": "-31808", "answer_type": "integer", "kind": "expression", "math_text": "-71 * ((-171 - 53) / (2 / (-4)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": -171, \"c\": 53, \"d\": 2, \"e\": -4}", "seed": "15637811318603838248", "semantic_fingerprint": "sha256:f10d4984583ac51a8022fdf5d3e486d2c25f056b270266daa5dba9a8ddf28720", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001252", "prompt": "Find x: x - 694 = -3(x - 948) + 34", "solution_steps": ["Expand: x - 694 = -3x + 2844 + 34", "Combine constants: x - 694 = -3x + 2878", "Add 3x to both sides: 4x - 694 = 2878", "Add 694 to both sides: 4x = 3572", "Divide both sides by 4: x = 893"], "final_answer": "893", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 694 = -3(x - 948) + 34", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 694, \"b\": -3, \"c\": 948, \"d\": 34}", "seed": "13494057443730945717", "semantic_fingerprint": "sha256:024d15b11ce1995fa115e593a29f87d58d65a25d75d53ddeaee222c1d79e99af", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001253", "prompt": "Solve the equation x - 81 = -11(x - 196) + 71 for x.", "solution_steps": ["Expand: x - 81 = -11x + 2156 + 71", "Combine constants: x - 81 = -11x + 2227", "Add 11x to both sides: 12x - 81 = 2227", "Add 81 to both sides: 12x = 2308", "Divide both sides by 12: x = 577/3"], "final_answer": "577/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 81 = -11(x - 196) + 71", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": -11, \"c\": 196, \"d\": 71}", "seed": "7601193026566764934", "semantic_fingerprint": "sha256:1b482412b2ed223703cfff748507906973fa57e6f4fa6260e8f2c5df14313068", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001254", "prompt": "Solve the equation 4(x - 28) + 9 = 3x + 97 for x.", "solution_steps": ["Expand: 4x - 112 + 9 = 3x + 97", "Combine constants: 4x - 103 = 3x + 97", "Subtract 3x from both sides: x - 103 = 97", "Add 103 to both sides: x = 200"], "final_answer": "200", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 28) + 9 = 3x + 97", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 28, \"c\": 9, \"d\": 3, \"e\": 97}", "seed": "5184581162366763338", "semantic_fingerprint": "sha256:9157d30044a1fb2b6f29b8f2987b876120917759352a3fdd650f7c229e3f5896", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001255", "prompt": "Evaluate: -1 / (89 - (-849) - 8)", "solution_steps": ["Subtract: 89 - (-849) = 938", "Subtract: 938 - 8 = 930", "Divide: -1 / 930 = -1/930"], "final_answer": "-1/930", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (89 - (-849) - 8)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 89, \"c\": -849, \"d\": 8}", "seed": "16642788454449443400", "semantic_fingerprint": "sha256:969b8b867951f4a467c5514f399a117249297a83aacf93e7d6d9da22aef66046", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001256", "prompt": "What value of x satisfies x - 5 = 5(x - 556) + 24?", "solution_steps": ["Expand: x - 5 = 5x - 2780 + 24", "Combine constants: x - 5 = 5x - 2756", "Subtract 5x from both sides: -4x - 5 = -2756", "Add 5 to both sides: -4x = -2751", "Divide both sides by -4: x = 2751/4"], "final_answer": "2751/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5 = 5(x - 556) + 24", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 5, \"c\": 556, \"d\": 24}", "seed": "10120841984830825051", "semantic_fingerprint": "sha256:1eec10dd4bf07a2c413008f7cfd580db496036a429bb0701bd796f57cd89763c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001257", "prompt": "Evaluate: 74 / (-44 * (-631) / 506)", "solution_steps": ["Multiply: -44 * (-631) = 27764", "Divide: 27764 / 506 = 1262/23", "Divide: 74 / (1262/23) = 851/631"], "final_answer": "851/631", "answer_type": "rational", "kind": "expression", "math_text": "74 / (-44 * (-631) / 506)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -44, \"c\": -631, \"d\": 506}", "seed": "3166782958292819735", "semantic_fingerprint": "sha256:04c88aaea22aae4b3c9a3a78ef9a5ab870c0b68fc6f0f23e43b446f21da51af2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001258", "prompt": "Compute: 11 - (-7) * (-144 - 7) + (-4 + 3)", "solution_steps": ["Subtract: -144 - 7 = -151", "Multiply: -7 * (-151) = 1057", "Subtract: 11 - 1057 = -1046", "Add: -4 + 3 = -1", "Add: -1046 + (-1) = -1047"], "final_answer": "-1047", "answer_type": "integer", "kind": "expression", "math_text": "11 - (-7) * (-144 - 7) + (-4 + 3)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (* n (- n n))) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -7, \"c\": -144, \"d\": 7, \"e\": -4, \"f\": 3}", "seed": "9280397424245456152", "semantic_fingerprint": "sha256:8e181badcd876a2e39408abe046da6aaf3a3bd1f3bb33b321962cd434e9687e0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001259", "prompt": "What value of x satisfies x - 86 = 11(x - 47) + 81?", "solution_steps": ["Expand: x - 86 = 11x - 517 + 81", "Combine constants: x - 86 = 11x - 436", "Subtract 11x from both sides: -10x - 86 = -436", "Add 86 to both sides: -10x = -350", "Divide both sides by -10: x = 35"], "final_answer": "35", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 86 = 11(x - 47) + 81", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 11, \"c\": 47, \"d\": 81}", "seed": "6842309414684729018", "semantic_fingerprint": "sha256:45178c5364ee99148f11332c2a791b21302fd16460a3ae8b7ce9cdebe093d45c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001260", "prompt": "Solve the equation 10(x + 5) - 99 = x - 130 for x.", "solution_steps": ["Expand: 10x + 50 - 99 = x - 130", "Combine constants: 10x - 49 = x - 130", "Subtract x from both sides: 9x - 49 = -130", "Add 49 to both sides: 9x = -81", "Divide both sides by 9: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 5) - 99 = x - 130", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"c\": 99, \"e\": -130, \"x\": -9}", "seed": "2256680787179344011", "semantic_fingerprint": "sha256:f825301528dec97fd5adfa114a877a3d328df490b7fc4c5d7b80b52761412331", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001261", "prompt": "Calculate: -2 / (-6) - (-643 * (-7) / (-3) - (-9))", "solution_steps": ["Divide: -2 / (-6) = 1/3", "Multiply: -643 * (-7) = 4501", "Divide: 4501 / (-3) = -4501/3", "Subtract: -4501/3 - (-9) = -4474/3", "Subtract: 1/3 - (-4474/3) = 4475/3"], "final_answer": "4475/3", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-6) - (-643 * (-7) / (-3) - (-9))", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (- (/ (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -6, \"c\": -643, \"d\": -7, \"e\": -3, \"f\": -9}", "seed": "12956966375573574926", "semantic_fingerprint": "sha256:7b0d1d8cfff4eb42d83e4d782c1db9e88c72457b5ca727bedd532ffefa7f22ff", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001262", "prompt": "Solve for x: 5(x + 17) + 7 = 6(x + 19) - 11", "solution_steps": ["Expand: 5x + 85 + 7 = 6(x + 19) - 11", "Expand: 5x + 85 + 7 = 6x + 114 - 11", "Combine constants: 5x + 92 = 6x + 114 - 11", "Combine constants: 5x + 92 = 6x + 103", "Subtract 6x from both sides: -x + 92 = 103", "Subtract 92 from both sides: -x = 11", "Divide both sides by -1: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 17) + 7 = 6(x + 19) - 11", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 17, \"c\": 7, \"d\": 6, \"e\": 19, \"g\": -11, \"x\": -11}", "seed": "15454111293873900649", "semantic_fingerprint": "sha256:5d44900bab3f3fa1b85b54a783f7a9e762ba60cc234a459925854e2ceb5a748e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001263", "prompt": "What value of x satisfies x - 59 = 6(x - 49) + 320?", "solution_steps": ["Expand: x - 59 = 6x - 294 + 320", "Combine constants: x - 59 = 6x + 26", "Subtract 6x from both sides: -5x - 59 = 26", "Add 59 to both sides: -5x = 85", "Divide both sides by -5: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 59 = 6(x - 49) + 320", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": 6, \"c\": 49, \"e\": 320, \"x\": -17}", "seed": "1790442266494417950", "semantic_fingerprint": "sha256:faaae0e7ce0bc8e5c17457bbd9f6724de7cc275342b219db6b9cef27b545aa43", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001264", "prompt": "Solve for x: -3(x + 30) - 261 = x - 323", "solution_steps": ["Expand: -3x - 90 - 261 = x - 323", "Combine constants: -3x - 351 = x - 323", "Subtract x from both sides: -4x - 351 = -323", "Add 351 to both sides: -4x = 28", "Divide both sides by -4: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 30) - 261 = x - 323", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 30, \"c\": 261, \"e\": -323, \"x\": -7}", "seed": "15679360044277647357", "semantic_fingerprint": "sha256:b80985a30981118ccfc5ab71a00c442ee854e3dedad8177f2a7ba40282bea4f0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001265", "prompt": "What is -99 + 379 - (4 + (-40))?", "solution_steps": ["Add: -99 + 379 = 280", "Add: 4 + (-40) = -36", "Subtract: 280 - (-36) = 316"], "final_answer": "316", "answer_type": "integer", "kind": "expression", "math_text": "-99 + 379 - (4 + (-40))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": 379, \"c\": 4, \"d\": -40}", "seed": "9867832922950623697", "semantic_fingerprint": "sha256:faca710d25b619bf14e0a69121bc924d473ba5b7d63095051d55116fc95c410a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001266", "prompt": "What value of x satisfies -4(x + 11) + 17 = 10(x + 72) - 985?", "solution_steps": ["Expand: -4x - 44 + 17 = 10(x + 72) - 985", "Expand: -4x - 44 + 17 = 10x + 720 - 985", "Combine constants: -4x - 27 = 10x + 720 - 985", "Combine constants: -4x - 27 = 10x - 265", "Subtract 10x from both sides: -14x - 27 = -265", "Add 27 to both sides: -14x = -238", "Divide both sides by -14: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 11) + 17 = 10(x + 72) - 985", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 11, \"c\": 17, \"d\": 10, \"e\": 72, \"g\": -985, \"x\": 17}", "seed": "3646475487902704791", "semantic_fingerprint": "sha256:042b314d9eb827e3041d43c7af32a5922eb2bbc4556ff71b28e29eaf7b9a01e3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001267", "prompt": "Solve the equation 9x - 9 = -2(x + 6) + 553 for x.", "solution_steps": ["Expand: 9x - 9 = -2x - 12 + 553", "Combine constants: 9x - 9 = -2x + 541", "Add 2x to both sides: 11x - 9 = 541", "Add 9 to both sides: 11x = 550", "Divide both sides by 11: x = 50"], "final_answer": "50", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 9 = -2(x + 6) + 553", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": -2, \"d\": 6, \"e\": 553}", "seed": "12519922248276323051", "semantic_fingerprint": "sha256:a9db74b06265be033aba0c5951f3e86523dbe195c0e022de5299a71ac53251fc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001268", "prompt": "Evaluate: -90 * (-614) / (-57 + 519)", "solution_steps": ["Multiply: -90 * (-614) = 55260", "Add: -57 + 519 = 462", "Divide: 55260 / 462 = 9210/77"], "final_answer": "9210/77", "answer_type": "rational", "kind": "expression", "math_text": "-90 * (-614) / (-57 + 519)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": -614, \"c\": -57, \"d\": 519}", "seed": "10754990035946959899", "semantic_fingerprint": "sha256:3b3760ab022c4f534d69a748c816a3b7834ee11d64157635af5369a8122da184", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001269", "prompt": "Calculate: -5 / (-7 - 835 - (-2))", "solution_steps": ["Subtract: -7 - 835 = -842", "Subtract: -842 - (-2) = -840", "Divide: -5 / (-840) = 1/168"], "final_answer": "1/168", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-7 - 835 - (-2))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -7, \"c\": 835, \"d\": -2}", "seed": "12435199130390041634", "semantic_fingerprint": "sha256:29c5ae121bc2f8667365428ec96c6a6f9858e3defd1044f68973b8a1ff42dcc1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001270", "prompt": "Calculate: -669 / (55 - (-8) - 69)", "solution_steps": ["Subtract: 55 - (-8) = 63", "Subtract: 63 - 69 = -6", "Divide: -669 / (-6) = 223/2"], "final_answer": "223/2", "answer_type": "rational", "kind": "expression", "math_text": "-669 / (55 - (-8) - 69)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -669, \"b\": 55, \"c\": -8, \"d\": 69}", "seed": "410493127267157936", "semantic_fingerprint": "sha256:b09fcf7bb9791a7566e151418a4bd16f5ca1beb3e296a372d26b529f4397cfde", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001271", "prompt": "Calculate: -165 / 1 + 35 / 726 * (89 / (-8))", "solution_steps": ["Divide: -165 / 1 = -165", "Divide: 35 / 726 = 35/726", "Divide: 89 / (-8) = -89/8", "Multiply: (35/726) * (-89/8) = -3115/5808", "Add: -165 + (-3115/5808) = -961435/5808"], "final_answer": "-961435/5808", "answer_type": "rational", "kind": "expression", "math_text": "-165 / 1 + 35 / 726 * (89 / (-8))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (* (/ n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -165, \"b\": 1, \"c\": 35, \"d\": 726, \"e\": 89, \"f\": -8}", "seed": "4766309810647438784", "semantic_fingerprint": "sha256:5015366aac746915443e92c065b660fd510a1239df85cb231768848cb0604691", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001272", "prompt": "What is 140 + 78 - 5 + 71?", "solution_steps": ["Add: 140 + 78 = 218", "Subtract: 218 - 5 = 213", "Add: 213 + 71 = 284"], "final_answer": "284", "answer_type": "integer", "kind": "expression", "math_text": "140 + 78 - 5 + 71", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 140, \"b\": 78, \"c\": 5, \"d\": 71}", "seed": "10393419656139364844", "semantic_fingerprint": "sha256:4bfd26a2abe9a0d1b184e85ee5e1820d598cb133eb51f30ff307631bc50ee560", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001273", "prompt": "Solve for x: 8(x - 41) + 240 = 2(x - 80)", "solution_steps": ["Expand: 8x - 328 + 240 = 2(x - 80)", "Expand: 8x - 328 + 240 = 2x - 160", "Combine constants: 8x - 88 = 2x - 160", "Subtract 2x from both sides: 6x - 88 = -160", "Add 88 to both sides: 6x = -72", "Divide both sides by 6: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 41) + 240 = 2(x - 80)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 41, \"c\": 2, \"d\": 80, \"f\": 240, \"x\": -12}", "seed": "13298476579077507881", "semantic_fingerprint": "sha256:06775270c53cdc29a7e8a80cb905fd29c3f6b2dea7edc95b091926098531eb8b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001274", "prompt": "Compute: -232 - (-5 - (-2 - 843))", "solution_steps": ["Subtract: -2 - 843 = -845", "Subtract: -5 - (-845) = 840", "Subtract: -232 - 840 = -1072"], "final_answer": "-1072", "answer_type": "integer", "kind": "expression", "math_text": "-232 - (-5 - (-2 - 843))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -232, \"b\": -5, \"c\": -2, \"d\": 843}", "seed": "8390340383801020026", "semantic_fingerprint": "sha256:3a893dbe292294f7a9b99f3d74034e1697e783dadecbca4a8129b0a8ebf693f1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001275", "prompt": "What value of x satisfies 5(x + 83) - 3 = x - 3?", "solution_steps": ["Expand: 5x + 415 - 3 = x - 3", "Combine constants: 5x + 412 = x - 3", "Subtract x from both sides: 4x + 412 = -3", "Subtract 412 from both sides: 4x = -415", "Divide both sides by 4: x = -415/4"], "final_answer": "-415/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 83) - 3 = x - 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 83, \"c\": 3, \"d\": 3}", "seed": "251015219823921140", "semantic_fingerprint": "sha256:26ad3dca0ebc13304f06cbd36ec8c900f3b8d9f2fda03a388cbde160fc9d062f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001276", "prompt": "Evaluate: 62 * (1 * (-80) + (-3)) / (-980)", "solution_steps": ["Multiply: 1 * (-80) = -80", "Add: -80 + (-3) = -83", "Multiply: 62 * (-83) = -5146", "Divide: -5146 / (-980) = 2573/490"], "final_answer": "2573/490", "answer_type": "rational", "kind": "expression", "math_text": "62 * (1 * (-80) + (-3)) / (-980)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (+ (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": 1, \"c\": -80, \"d\": -3, \"e\": -980}", "seed": "1067702701462755894", "semantic_fingerprint": "sha256:8fee7a0fc9ca649c970beaa11d69693118e921a0319c050d7502fc37cbc250b2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001277", "prompt": "Compute: -311 / (-608 + (67 + (-18 + (-95))))", "solution_steps": ["Add: -18 + (-95) = -113", "Add: 67 + (-113) = -46", "Add: -608 + (-46) = -654", "Divide: -311 / (-654) = 311/654"], "final_answer": "311/654", "answer_type": "rational", "kind": "expression", "math_text": "-311 / (-608 + (67 + (-18 + (-95))))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ n (+ n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -311, \"b\": -608, \"c\": 67, \"d\": -18, \"e\": -95}", "seed": "11082680259738765886", "semantic_fingerprint": "sha256:c28519a88eb7f3dfc29cc4a60c001b0ced55ae50d15973ef82141e27befba6ff", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001278", "prompt": "Solve for x: -8(x + 65) + 3 = 2(x + 200) - 787", "solution_steps": ["Expand: -8x - 520 + 3 = 2(x + 200) - 787", "Expand: -8x - 520 + 3 = 2x + 400 - 787", "Combine constants: -8x - 517 = 2x + 400 - 787", "Combine constants: -8x - 517 = 2x - 387", "Subtract 2x from both sides: -10x - 517 = -387", "Add 517 to both sides: -10x = 130", "Divide both sides by -10: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 65) + 3 = 2(x + 200) - 787", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 65, \"c\": 3, \"d\": 2, \"e\": 200, \"g\": -787, \"x\": -13}", "seed": "7291469706059597672", "semantic_fingerprint": "sha256:a5ac0ecac11a70967f4136776a59ef3f176c09d7b45a78c037b00df83ed466bc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001279", "prompt": "Compute: (77 - 4) * (6 * (-99))", "solution_steps": ["Subtract: 77 - 4 = 73", "Multiply: 6 * (-99) = -594", "Multiply: 73 * (-594) = -43362"], "final_answer": "-43362", "answer_type": "integer", "kind": "expression", "math_text": "(77 - 4) * (6 * (-99))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 4, \"c\": 6, \"d\": -99}", "seed": "2857867298625529667", "semantic_fingerprint": "sha256:dc02827870029986cde0461143e799c7b38b0e44a9a1ab8649dfe48aaf13868b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001280", "prompt": "Calculate: -169 * (40 - 6) + 53 * (-1) / 7", "solution_steps": ["Subtract: 40 - 6 = 34", "Multiply: -169 * 34 = -5746", "Multiply: 53 * (-1) = -53", "Divide: -53 / 7 = -53/7", "Add: -5746 + (-53/7) = -40275/7"], "final_answer": "-40275/7", "answer_type": "rational", "kind": "expression", "math_text": "-169 * (40 - 6) + 53 * (-1) / 7", "variable": null, "family": "expression_5op", "shape": "(+ (* n (- n n)) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -169, \"b\": 40, \"c\": 6, \"d\": 53, \"e\": -1, \"f\": 7}", "seed": "13504809177351021125", "semantic_fingerprint": "sha256:b8786317a4cf76cb8cbf72b944a8dea99126b45523eab5dede92922c9dbacde9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001281", "prompt": "What is -7 + (-83) - (99 + 54)?", "solution_steps": ["Add: -7 + (-83) = -90", "Add: 99 + 54 = 153", "Subtract: -90 - 153 = -243"], "final_answer": "-243", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (-83) - (99 + 54)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -83, \"c\": 99, \"d\": 54}", "seed": "2167998501238223997", "semantic_fingerprint": "sha256:bc965fd0ba5af98c8f07a7af7d4561661d9413b0455cc4b6c83c88e428fcc534", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001282", "prompt": "Solve for x: x - 27 = 12(x - 50) + 386", "solution_steps": ["Expand: x - 27 = 12x - 600 + 386", "Combine constants: x - 27 = 12x - 214", "Subtract 12x from both sides: -11x - 27 = -214", "Add 27 to both sides: -11x = -187", "Divide both sides by -11: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 27 = 12(x - 50) + 386", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": 12, \"c\": 50, \"e\": 386, \"x\": 17}", "seed": "14362808676030564069", "semantic_fingerprint": "sha256:70ab4ce5c8855fc58f4bad73292d26158076d61916b1616bbeda226fb2d699e9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001283", "prompt": "Compute: -80 / (-46) + 2 / 3", "solution_steps": ["Divide: -80 / (-46) = 40/23", "Divide: 2 / 3 = 2/3", "Add: 40/23 + 2/3 = 166/69"], "final_answer": "166/69", "answer_type": "rational", "kind": "expression", "math_text": "-80 / (-46) + 2 / 3", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": -46, \"c\": 2, \"d\": 3}", "seed": "17589634750363083843", "semantic_fingerprint": "sha256:a3e1e372ac2cb1bdcb1b797b379831ab0509306bc8b2e23fcfd44511d549d967", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001284", "prompt": "Find x: 2(x + 6) - 48 = x - 36", "solution_steps": ["Expand: 2x + 12 - 48 = x - 36", "Combine constants: 2x - 36 = x - 36", "Subtract x from both sides: x - 36 = -36", "Add 36 to both sides: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 6) - 48 = x - 36", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 48, \"e\": -36, \"x\": 0}", "seed": "9893031027392146097", "semantic_fingerprint": "sha256:d528bf0931702be8aa07ffb52edf9777ec3ffaac479d59d19a2918b5bf89644f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001285", "prompt": "Calculate: (24 + (-20 - (-7 - 1))) * (-465)", "solution_steps": ["Subtract: -7 - 1 = -8", "Subtract: -20 - (-8) = -12", "Add: 24 + (-12) = 12", "Multiply: 12 * (-465) = -5580"], "final_answer": "-5580", "answer_type": "integer", "kind": "expression", "math_text": "(24 + (-20 - (-7 - 1))) * (-465)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (- n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -20, \"c\": -7, \"d\": 1, \"e\": -465}", "seed": "14356476049156148579", "semantic_fingerprint": "sha256:b79c724b049ccbee95d3b2f45d2850321e56931a749e82b1729b4abe77c4e605", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001286", "prompt": "What value of x satisfies 3(x + 3) + 97 = 7(x + 47) - 6?", "solution_steps": ["Expand: 3x + 9 + 97 = 7(x + 47) - 6", "Expand: 3x + 9 + 97 = 7x + 329 - 6", "Combine constants: 3x + 106 = 7x + 329 - 6", "Combine constants: 3x + 106 = 7x + 323", "Subtract 7x from both sides: -4x + 106 = 323", "Subtract 106 from both sides: -4x = 217", "Divide both sides by -4: x = -217/4"], "final_answer": "-217/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 3) + 97 = 7(x + 47) - 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 97, \"d\": 7, \"e\": 47, \"f\": 6}", "seed": "9225756673914545667", "semantic_fingerprint": "sha256:55c5a90a2f962e5f388bf8a6f67e7c0f3e9bb7e51bb646298d2d4a1842052b40", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001287", "prompt": "Calculate: 516 - (0 - 8) * (-501) * 2", "solution_steps": ["Subtract: 0 - 8 = -8", "Multiply: -8 * (-501) = 4008", "Multiply: 4008 * 2 = 8016", "Subtract: 516 - 8016 = -7500"], "final_answer": "-7500", "answer_type": "integer", "kind": "expression", "math_text": "516 - (0 - 8) * (-501) * 2", "variable": null, "family": "expression_4op", "shape": "(- n (* (* (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 516, \"b\": 0, \"c\": 8, \"d\": -501, \"e\": 2}", "seed": "2745170874451006833", "semantic_fingerprint": "sha256:80d7f72cb39f0d10e5647f0a0279e16f1f13f6576c12230cefacc653e185682c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001288", "prompt": "Evaluate: 1 - (107 * 26 + 0)", "solution_steps": ["Multiply: 107 * 26 = 2782", "Add: 2782 + 0 = 2782", "Subtract: 1 - 2782 = -2781"], "final_answer": "-2781", "answer_type": "integer", "kind": "expression", "math_text": "1 - (107 * 26 + 0)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 107, \"c\": 26, \"d\": 0}", "seed": "14161217884716571723", "semantic_fingerprint": "sha256:7c5d2f37a7fd1f00175bdea956bbdbbaa26e9f74300d61724485e9d0fda61047", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001289", "prompt": "What value of x satisfies -10(x - 20) + 43 = 2x + 99?", "solution_steps": ["Expand: -10x + 200 + 43 = 2x + 99", "Combine constants: -10x + 243 = 2x + 99", "Subtract 2x from both sides: -12x + 243 = 99", "Subtract 243 from both sides: -12x = -144", "Divide both sides by -12: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 20) + 43 = 2x + 99", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 20, \"c\": 43, \"d\": 2, \"f\": 99, \"x\": 12}", "seed": "6120011243432758156", "semantic_fingerprint": "sha256:cf01f47e2a7864382288951b2703d766d2e36b698cd61bd167bb319a74d983fd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001290", "prompt": "Compute: 99 * (-7) * 64 + (-9) / (-9)", "solution_steps": ["Multiply: 99 * (-7) = -693", "Multiply: -693 * 64 = -44352", "Divide: -9 / (-9) = 1", "Add: -44352 + 1 = -44351"], "final_answer": "-44351", "answer_type": "integer", "kind": "expression", "math_text": "99 * (-7) * 64 + (-9) / (-9)", "variable": null, "family": "expression_4op", "shape": "(+ (* (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -7, \"c\": 64, \"d\": -9, \"e\": -9}", "seed": "15212294000051969174", "semantic_fingerprint": "sha256:fb2319494c8b7d76e4b02910ebde05fe676533903e7fcfac3744ae038e3034e3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001291", "prompt": "Solve for x: 3(x - 6) + 44 = -8x + 180", "solution_steps": ["Expand: 3x - 18 + 44 = -8x + 180", "Combine constants: 3x + 26 = -8x + 180", "Add 8x to both sides: 11x + 26 = 180", "Subtract 26 from both sides: 11x = 154", "Divide both sides by 11: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 6) + 44 = -8x + 180", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 44, \"d\": -8, \"f\": 180, \"x\": 14}", "seed": "6841276169150840286", "semantic_fingerprint": "sha256:6d4c09f0a2deef6c67d8d35fb98dcc55e2ba3a94e3abf661ef69e6396e1eb960", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001292", "prompt": "Compute: (359 + 66) / (-62 / 411)", "solution_steps": ["Add: 359 + 66 = 425", "Divide: -62 / 411 = -62/411", "Divide: 425 / (-62/411) = -174675/62"], "final_answer": "-174675/62", "answer_type": "rational", "kind": "expression", "math_text": "(359 + 66) / (-62 / 411)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 359, \"b\": 66, \"c\": -62, \"d\": 411}", "seed": "14711148029769437751", "semantic_fingerprint": "sha256:6fead94b812e0586d28f2cf57208a00f06dae860fecf653e39215110a27ca883", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001293", "prompt": "Compute: (-71 - (-38) - (3 - (-70))) / (-21)", "solution_steps": ["Subtract: -71 - (-38) = -33", "Subtract: 3 - (-70) = 73", "Subtract: -33 - 73 = -106", "Divide: -106 / (-21) = 106/21"], "final_answer": "106/21", "answer_type": "rational", "kind": "expression", "math_text": "(-71 - (-38) - (3 - (-70))) / (-21)", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": -38, \"c\": 3, \"d\": -70, \"e\": -21}", "seed": "5071259804741370318", "semantic_fingerprint": "sha256:09ccd9b3d5738353956bb21dc21bc6e2c444f9a6ec9d70a69606399d1b2618a5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001294", "prompt": "Compute: (16 - (27 - 593)) / (295 + 6)", "solution_steps": ["Subtract: 27 - 593 = -566", "Subtract: 16 - (-566) = 582", "Add: 295 + 6 = 301", "Divide: 582 / 301 = 582/301"], "final_answer": "582/301", "answer_type": "rational", "kind": "expression", "math_text": "(16 - (27 - 593)) / (295 + 6)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 27, \"c\": 593, \"d\": 295, \"e\": 6}", "seed": "10413300044180221189", "semantic_fingerprint": "sha256:e8abc908d1c16edfb9715175c6fc14ad68aa0ef467c9f525eda1a46308d33dbb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001295", "prompt": "Solve for x: -11(x + 1) - 122 = x - 133", "solution_steps": ["Expand: -11x - 11 - 122 = x - 133", "Combine constants: -11x - 133 = x - 133", "Subtract x from both sides: -12x - 133 = -133", "Add 133 to both sides: -12x = 0", "Divide both sides by -12: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 1) - 122 = x - 133", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 1, \"c\": 122, \"e\": -133, \"x\": 0}", "seed": "14134731042701272434", "semantic_fingerprint": "sha256:6bf78fe2b75130d3df231bdaa62dd8d3cfe128f6fe243db852c0d3dea86eb71b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001296", "prompt": "Compute: -69 / (-3 * (-82)) - 206", "solution_steps": ["Multiply: -3 * (-82) = 246", "Divide: -69 / 246 = -23/82", "Subtract: -23/82 - 206 = -16915/82"], "final_answer": "-16915/82", "answer_type": "rational", "kind": "expression", "math_text": "-69 / (-3 * (-82)) - 206", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": -3, \"c\": -82, \"d\": 206}", "seed": "10727434586524315716", "semantic_fingerprint": "sha256:72837846bc9c5139c1419f156ab92dae132128eed045e235c74433c16e0a2f2e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001297", "prompt": "Compute: -2 + 546 - (464 - 789) + (-94)", "solution_steps": ["Add: -2 + 546 = 544", "Subtract: 464 - 789 = -325", "Subtract: 544 - (-325) = 869", "Add: 869 + (-94) = 775"], "final_answer": "775", "answer_type": "integer", "kind": "expression", "math_text": "-2 + 546 - (464 - 789) + (-94)", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 546, \"c\": 464, \"d\": 789, \"e\": -94}", "seed": "17069877895395880676", "semantic_fingerprint": "sha256:a6fdfb9e0fe77b0c4e8aa1064008cd6bcb161c982daed23ffe195236b8a18dcc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001298", "prompt": "Calculate: 19 + 22 / 582 * (30 + 59 - (-9))", "solution_steps": ["Divide: 22 / 582 = 11/291", "Add: 30 + 59 = 89", "Subtract: 89 - (-9) = 98", "Multiply: (11/291) * 98 = 1078/291", "Add: 19 + 1078/291 = 6607/291"], "final_answer": "6607/291", "answer_type": "rational", "kind": "expression", "math_text": "19 + 22 / 582 * (30 + 59 - (-9))", "variable": null, "family": "expression_5op", "shape": "(+ n (* (/ n n) (- (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": 22, \"c\": 582, \"d\": 30, \"e\": 59, \"f\": -9}", "seed": "1853114326600213615", "semantic_fingerprint": "sha256:9ae17509bd1b775434f661dd987249122d51101361ec1e6266b271fa12161dd9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001299", "prompt": "Compute: 74 * 2 - (-76) * (-47 + 953)", "solution_steps": ["Multiply: 74 * 2 = 148", "Add: -47 + 953 = 906", "Multiply: -76 * 906 = -68856", "Subtract: 148 - (-68856) = 69004"], "final_answer": "69004", "answer_type": "integer", "kind": "expression", "math_text": "74 * 2 - (-76) * (-47 + 953)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": 2, \"c\": -76, \"d\": -47, \"e\": 953}", "seed": "12273859330417123934", "semantic_fingerprint": "sha256:595d1b2d6b5d05aac888f39b468b196a59b08ff036ffac26cfd4cc12d08dfbb2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001300", "prompt": "Calculate: -92 * (-32) + (-70) + (-3) / (96 * 6)", "solution_steps": ["Multiply: -92 * (-32) = 2944", "Add: 2944 + (-70) = 2874", "Multiply: 96 * 6 = 576", "Divide: -3 / 576 = -1/192", "Add: 2874 + (-1/192) = 551807/192"], "final_answer": "551807/192", "answer_type": "rational", "kind": "expression", "math_text": "-92 * (-32) + (-70) + (-3) / (96 * 6)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* n n) n) (/ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": -32, \"c\": -70, \"d\": -3, \"e\": 96, \"f\": 6}", "seed": "8326067430785169628", "semantic_fingerprint": "sha256:d6ca24efa8e3ad424d210a2a517f0a11cd2235ca2ae3f90dc493acdf64be2edb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001301", "prompt": "Find x: -4(x + 3) - 789 = x - 816", "solution_steps": ["Expand: -4x - 12 - 789 = x - 816", "Combine constants: -4x - 801 = x - 816", "Subtract x from both sides: -5x - 801 = -816", "Add 801 to both sides: -5x = -15", "Divide both sides by -5: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 3) - 789 = x - 816", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": 789, \"e\": -816, \"x\": 3}", "seed": "5703000394234389910", "semantic_fingerprint": "sha256:d949d2d0f3aa27c8ce2464875824f31a5e777333a456e09112338b0f9620967d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001302", "prompt": "Find x: 7(x - 8) - 3 = 8(x - 588) - 370", "solution_steps": ["Expand: 7x - 56 - 3 = 8(x - 588) - 370", "Expand: 7x - 56 - 3 = 8x - 4704 - 370", "Combine constants: 7x - 59 = 8x - 4704 - 370", "Combine constants: 7x - 59 = 8x - 5074", "Subtract 8x from both sides: -x - 59 = -5074", "Add 59 to both sides: -x = -5015", "Divide both sides by -1: x = 5015"], "final_answer": "5015", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 8) - 3 = 8(x - 588) - 370", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 3, \"d\": 8, \"e\": 588, \"f\": 370}", "seed": "4328390802051318015", "semantic_fingerprint": "sha256:1ab91def9473fc129ebaeee78d46fa43e55dc700ff781411c0a4c3c093415f0c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001303", "prompt": "Calculate: (-3 - 994) * (48 / (-64))", "solution_steps": ["Subtract: -3 - 994 = -997", "Divide: 48 / (-64) = -3/4", "Multiply: -997 * (-3/4) = 2991/4"], "final_answer": "2991/4", "answer_type": "rational", "kind": "expression", "math_text": "(-3 - 994) * (48 / (-64))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 994, \"c\": 48, \"d\": -64}", "seed": "4054210135146711091", "semantic_fingerprint": "sha256:1021786e562683293af3cf818d3954fba5c7ea9892d073fb883c00abbae096f8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001304", "prompt": "Solve the equation 9(x - 1) = 6x - 21 for x.", "solution_steps": ["Expand: 9x - 9 = 6x - 21", "Subtract 6x from both sides: 3x - 9 = -21", "Add 9 to both sides: 3x = -12", "Divide both sides by 3: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 1) = 6x - 21", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 1, \"c\": 6, \"e\": -21, \"x\": -4}", "seed": "820055876723772855", "semantic_fingerprint": "sha256:8a71c55dc44c8364af013d169a03479f8e25bad5612b2fecc46ebf9487b3bf56", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001305", "prompt": "Evaluate: 55 * 8 / (-7 + (-7))", "solution_steps": ["Multiply: 55 * 8 = 440", "Add: -7 + (-7) = -14", "Divide: 440 / (-14) = -220/7"], "final_answer": "-220/7", "answer_type": "rational", "kind": "expression", "math_text": "55 * 8 / (-7 + (-7))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 8, \"c\": -7, \"d\": -7}", "seed": "13286328256600608800", "semantic_fingerprint": "sha256:2e98fbab87fc0007a0bff7443b2ef2de069b605601a6f8f1e49072ec3d0b595f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001306", "prompt": "Solve for x: 8(x - 32) - 167 = 5(x - 84)", "solution_steps": ["Expand: 8x - 256 - 167 = 5(x - 84)", "Expand: 8x - 256 - 167 = 5x - 420", "Combine constants: 8x - 423 = 5x - 420", "Subtract 5x from both sides: 3x - 423 = -420", "Add 423 to both sides: 3x = 3", "Divide both sides by 3: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 32) - 167 = 5(x - 84)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 32, \"c\": 5, \"d\": 84, \"f\": -167, \"x\": 1}", "seed": "3467579178401247291", "semantic_fingerprint": "sha256:3061c5a8b56f4d06ae72ea4217e411bf118d3861a814c82c8223417b291f7b9c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001307", "prompt": "What value of x satisfies 8(x - 8) + 536 = -7(x - 31)?", "solution_steps": ["Expand: 8x - 64 + 536 = -7(x - 31)", "Expand: 8x - 64 + 536 = -7x + 217", "Combine constants: 8x + 472 = -7x + 217", "Add 7x to both sides: 15x + 472 = 217", "Subtract 472 from both sides: 15x = -255", "Divide both sides by 15: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 8) + 536 = -7(x - 31)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": -7, \"d\": 31, \"f\": 536, \"x\": -17}", "seed": "11320532091940546519", "semantic_fingerprint": "sha256:bd125e0763c11dc68041e9617eb734147ef790d679cca024cd76f7933905d55c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001308", "prompt": "Compute: (-9 - (-3)) * (-3 + (6 - (-77)) - (-76))", "solution_steps": ["Subtract: -9 - (-3) = -6", "Subtract: 6 - (-77) = 83", "Add: -3 + 83 = 80", "Subtract: 80 - (-76) = 156", "Multiply: -6 * 156 = -936"], "final_answer": "-936", "answer_type": "integer", "kind": "expression", "math_text": "(-9 - (-3)) * (-3 + (6 - (-77)) - (-76))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (- (+ n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -3, \"c\": -3, \"d\": 6, \"e\": -77, \"f\": -76}", "seed": "4985299016650475465", "semantic_fingerprint": "sha256:1e58a2a09a8abd0db2ee54b3fc3db475ba00c1e29f91d82c90e7382a292e8df5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001309", "prompt": "What is (3 - 4) * (-459) - (-98) + 9 * 60?", "solution_steps": ["Subtract: 3 - 4 = -1", "Multiply: -1 * (-459) = 459", "Subtract: 459 - (-98) = 557", "Multiply: 9 * 60 = 540", "Add: 557 + 540 = 1097"], "final_answer": "1097", "answer_type": "integer", "kind": "expression", "math_text": "(3 - 4) * (-459) - (-98) + 9 * 60", "variable": null, "family": "expression_5op", "shape": "(+ (- (* (- n n) n) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"c\": -459, \"d\": -98, \"e\": 9, \"f\": 60}", "seed": "8747728333045425734", "semantic_fingerprint": "sha256:3a07264782a4c39403d6da05ce29fbf136c16cf8f505dad8f741f784e2e73814", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001310", "prompt": "What value of x satisfies 8(x + 77) - 52 = x - 64?", "solution_steps": ["Expand: 8x + 616 - 52 = x - 64", "Combine constants: 8x + 564 = x - 64", "Subtract x from both sides: 7x + 564 = -64", "Subtract 564 from both sides: 7x = -628", "Divide both sides by 7: x = -628/7"], "final_answer": "-628/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 77) - 52 = x - 64", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 77, \"c\": 52, \"d\": 64}", "seed": "15333099102954224951", "semantic_fingerprint": "sha256:067ba620d5cfe9f38dcbae06a34f0b9224038c624bfe46d57b68f5f1e9593b0a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001311", "prompt": "Compute: 73 * (3 * (-75)) - 588", "solution_steps": ["Multiply: 3 * (-75) = -225", "Multiply: 73 * (-225) = -16425", "Subtract: -16425 - 588 = -17013"], "final_answer": "-17013", "answer_type": "integer", "kind": "expression", "math_text": "73 * (3 * (-75)) - 588", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 3, \"c\": -75, \"d\": 588}", "seed": "16193216463889153751", "semantic_fingerprint": "sha256:02cfa0011b2875a121fb8ba5f56f14aa722ca9e7a9ae9d113ea098df4ae4df06", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001312", "prompt": "Calculate: -56 + 18 - (-1) + 86", "solution_steps": ["Add: -56 + 18 = -38", "Subtract: -38 - (-1) = -37", "Add: -37 + 86 = 49"], "final_answer": "49", "answer_type": "integer", "kind": "expression", "math_text": "-56 + 18 - (-1) + 86", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": 18, \"c\": -1, \"d\": 86}", "seed": "11931338609552165965", "semantic_fingerprint": "sha256:bd7838b525247bf5597bfc8702134cc88dc9ac4bbd026ba10b77397d8c7465e4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001313", "prompt": "Evaluate: (-2 - (-19) + 0) * (-15)", "solution_steps": ["Subtract: -2 - (-19) = 17", "Add: 17 + 0 = 17", "Multiply: 17 * (-15) = -255"], "final_answer": "-255", "answer_type": "integer", "kind": "expression", "math_text": "(-2 - (-19) + 0) * (-15)", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -19, \"c\": 0, \"d\": -15}", "seed": "13234417709922051189", "semantic_fingerprint": "sha256:f306191c79fa14d0e429c55ec0ecf96a9c72e066594ec331a58503c6c11c7b10", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001314", "prompt": "Evaluate: (9 + (-8)) / (74 - (-668 - 7))", "solution_steps": ["Add: 9 + (-8) = 1", "Subtract: -668 - 7 = -675", "Subtract: 74 - (-675) = 749", "Divide: 1 / 749 = 1/749"], "final_answer": "1/749", "answer_type": "rational", "kind": "expression", "math_text": "(9 + (-8)) / (74 - (-668 - 7))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -8, \"c\": 74, \"d\": -668, \"e\": 7}", "seed": "7847553327285210913", "semantic_fingerprint": "sha256:c3eed9464618af53fe5342a14992c85e26afa708841128e6a37d5711ade54e1d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001315", "prompt": "Evaluate: 891 * 774 + (-556 + 37) - 70", "solution_steps": ["Multiply: 891 * 774 = 689634", "Add: -556 + 37 = -519", "Add: 689634 + (-519) = 689115", "Subtract: 689115 - 70 = 689045"], "final_answer": "689045", "answer_type": "integer", "kind": "expression", "math_text": "891 * 774 + (-556 + 37) - 70", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 891, \"b\": 774, \"c\": -556, \"d\": 37, \"e\": 70}", "seed": "11141470367641430069", "semantic_fingerprint": "sha256:444eecf525faf309ffdbda5fa10a4be436e64a0facd3fe5197769bf1611a05d7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001316", "prompt": "What value of x satisfies -3(x - 6) - 133 = 5(x - 7)?", "solution_steps": ["Expand: -3x + 18 - 133 = 5(x - 7)", "Expand: -3x + 18 - 133 = 5x - 35", "Combine constants: -3x - 115 = 5x - 35", "Subtract 5x from both sides: -8x - 115 = -35", "Add 115 to both sides: -8x = 80", "Divide both sides by -8: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 6) - 133 = 5(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 6, \"c\": 5, \"d\": 7, \"f\": -133, \"x\": -10}", "seed": "13833175407789663439", "semantic_fingerprint": "sha256:862c0a0b1528bacb28d6cda703e04019b49b9a687c96f91430d1d85fd6b71396", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001317", "prompt": "Compute: -2 - (-63) / (172 / (-277))", "solution_steps": ["Divide: 172 / (-277) = -172/277", "Divide: -63 / (-172/277) = 17451/172", "Subtract: -2 - 17451/172 = -17795/172"], "final_answer": "-17795/172", "answer_type": "rational", "kind": "expression", "math_text": "-2 - (-63) / (172 / (-277))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -63, \"c\": 172, \"d\": -277}", "seed": "12532880501237100765", "semantic_fingerprint": "sha256:bb9fd00b5f059942299dbf923e6ecfe6777da8f48be9d0cb478cfa5049932fca", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001318", "prompt": "Evaluate: 8 + (-993 + 78) / (-77) / (-15)", "solution_steps": ["Add: -993 + 78 = -915", "Divide: -915 / (-77) = 915/77", "Divide: (915/77) / (-15) = -61/77", "Add: 8 + (-61/77) = 555/77"], "final_answer": "555/77", "answer_type": "rational", "kind": "expression", "math_text": "8 + (-993 + 78) / (-77) / (-15)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (/ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -993, \"c\": 78, \"d\": -77, \"e\": -15}", "seed": "4353015183064189238", "semantic_fingerprint": "sha256:02669d53f23e4526507101bb91ab3e40e291d0e27c56e0d05e5c8bc385f1b87b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001319", "prompt": "Calculate: 334 * (3 * (-5)) - 0", "solution_steps": ["Multiply: 3 * (-5) = -15", "Multiply: 334 * (-15) = -5010", "Subtract: -5010 - 0 = -5010"], "final_answer": "-5010", "answer_type": "integer", "kind": "expression", "math_text": "334 * (3 * (-5)) - 0", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 334, \"b\": 3, \"c\": -5, \"d\": 0}", "seed": "16438929060886722419", "semantic_fingerprint": "sha256:5f43d0aa78ef1c6cdd7a9fed24d3c1bd3e28524b93b160c29e7f2e0407a42187", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001320", "prompt": "What value of x satisfies -10x - 840 = 6(x + 4) + 3?", "solution_steps": ["Expand: -10x - 840 = 6x + 24 + 3", "Combine constants: -10x - 840 = 6x + 27", "Subtract 6x from both sides: -16x - 840 = 27", "Add 840 to both sides: -16x = 867", "Divide both sides by -16: x = -867/16"], "final_answer": "-867/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10x - 840 = 6(x + 4) + 3", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 840, \"c\": 6, \"d\": 4, \"e\": 3}", "seed": "12980576640599443679", "semantic_fingerprint": "sha256:b3d4afe88512261b809eb88c7bef99216021c730e7313a69a250d008c222da96", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001321", "prompt": "Solve for x: 5(x - 95) - 31 = 4(x - 508)", "solution_steps": ["Expand: 5x - 475 - 31 = 4(x - 508)", "Expand: 5x - 475 - 31 = 4x - 2032", "Combine constants: 5x - 506 = 4x - 2032", "Subtract 4x from both sides: x - 506 = -2032", "Add 506 to both sides: x = -1526"], "final_answer": "-1526", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 95) - 31 = 4(x - 508)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 95, \"c\": 31, \"d\": 4, \"e\": 508}", "seed": "9050521198657772607", "semantic_fingerprint": "sha256:62084e64505c4e9b40ef4401917cef79de47fe4dd3b270ef06af9536e333a49e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001322", "prompt": "Solve for x: 11(x - 63) + 696 = -5(x - 39)", "solution_steps": ["Expand: 11x - 693 + 696 = -5(x - 39)", "Expand: 11x - 693 + 696 = -5x + 195", "Combine constants: 11x + 3 = -5x + 195", "Add 5x to both sides: 16x + 3 = 195", "Subtract 3 from both sides: 16x = 192", "Divide both sides by 16: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 63) + 696 = -5(x - 39)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 63, \"c\": -5, \"d\": 39, \"f\": 696, \"x\": 12}", "seed": "11233249863725875841", "semantic_fingerprint": "sha256:50ad4cbd757a341a17ef8dd07f40c27caabc5adea5e1c8f6d150be1b48df31d8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001323", "prompt": "What is 71 * (-8) * 15 / (3 / (-4))?", "solution_steps": ["Multiply: 71 * (-8) = -568", "Multiply: -568 * 15 = -8520", "Divide: 3 / (-4) = -3/4", "Divide: -8520 / (-3/4) = 11360"], "final_answer": "11360", "answer_type": "integer", "kind": "expression", "math_text": "71 * (-8) * 15 / (3 / (-4))", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": -8, \"c\": 15, \"d\": 3, \"e\": -4}", "seed": "2509363119325980215", "semantic_fingerprint": "sha256:b3d3b4467e87932848814e807c3e20e7165bf19d5a41ca06ad3bfe90da3389d1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001324", "prompt": "Find x: -9(x + 20) - 8 = x - 98", "solution_steps": ["Expand: -9x - 180 - 8 = x - 98", "Combine constants: -9x - 188 = x - 98", "Subtract x from both sides: -10x - 188 = -98", "Add 188 to both sides: -10x = 90", "Divide both sides by -10: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 20) - 8 = x - 98", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 20, \"c\": 8, \"e\": -98, \"x\": -9}", "seed": "7830057495828028497", "semantic_fingerprint": "sha256:e4da43dada31db014e474e2ac14e32e7e4513a5ca1168a8289bd5235bf25b780", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001325", "prompt": "What value of x satisfies x - 59 = 9(x - 3) + 5?", "solution_steps": ["Expand: x - 59 = 9x - 27 + 5", "Combine constants: x - 59 = 9x - 22", "Subtract 9x from both sides: -8x - 59 = -22", "Add 59 to both sides: -8x = 37", "Divide both sides by -8: x = -37/8"], "final_answer": "-37/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 59 = 9(x - 3) + 5", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": 9, \"c\": 3, \"d\": 5}", "seed": "16791002642964664222", "semantic_fingerprint": "sha256:724e383d421ce960c3fe377b9863efe3146061dab63ac71c6cd5e5eab1f0bce0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001326", "prompt": "Find x: x - 44 = -6(x - 4) + 956", "solution_steps": ["Expand: x - 44 = -6x + 24 + 956", "Combine constants: x - 44 = -6x + 980", "Add 6x to both sides: 7x - 44 = 980", "Add 44 to both sides: 7x = 1024", "Divide both sides by 7: x = 1024/7"], "final_answer": "1024/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 44 = -6(x - 4) + 956", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": -6, \"c\": 4, \"d\": 956}", "seed": "12432957334427987904", "semantic_fingerprint": "sha256:0bda1034aaa8973c929a384ef75c70ee2b0caa381f3885954863ab1a7c69682c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001327", "prompt": "What value of x satisfies x - 82 = 5(x - 259) + 91?", "solution_steps": ["Expand: x - 82 = 5x - 1295 + 91", "Combine constants: x - 82 = 5x - 1204", "Subtract 5x from both sides: -4x - 82 = -1204", "Add 82 to both sides: -4x = -1122", "Divide both sides by -4: x = 561/2"], "final_answer": "561/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 82 = 5(x - 259) + 91", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 5, \"c\": 259, \"d\": 91}", "seed": "14018208536155427002", "semantic_fingerprint": "sha256:765de2e437982a3a0cd772ed8ffc7308f7c35b93417db6b6e42438577dcba49d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001328", "prompt": "Evaluate: (8 + (-8)) / (1 - (-9 - 4))", "solution_steps": ["Add: 8 + (-8) = 0", "Subtract: -9 - 4 = -13", "Subtract: 1 - (-13) = 14", "Divide: 0 / 14 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(8 + (-8)) / (1 - (-9 - 4))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -8, \"c\": 1, \"d\": -9, \"e\": 4}", "seed": "1007904442491898659", "semantic_fingerprint": "sha256:707b5bb8b429d66ede96a7bfcb6be11a369570bf8daff1fe4ea22891e138c8c6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001329", "prompt": "Compute: (-167 - 1) / (37 * 5)", "solution_steps": ["Subtract: -167 - 1 = -168", "Multiply: 37 * 5 = 185", "Divide: -168 / 185 = -168/185"], "final_answer": "-168/185", "answer_type": "rational", "kind": "expression", "math_text": "(-167 - 1) / (37 * 5)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -167, \"b\": 1, \"c\": 37, \"d\": 5}", "seed": "10874241502432775011", "semantic_fingerprint": "sha256:90151b8aa97805fe7c4df3912c5ab478aaf1022caed8422a6e44fd8cf8911231", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001330", "prompt": "Solve the equation 7(x + 1) + 5 = 12(x + 4) - 131 for x.", "solution_steps": ["Expand: 7x + 7 + 5 = 12(x + 4) - 131", "Expand: 7x + 7 + 5 = 12x + 48 - 131", "Combine constants: 7x + 12 = 12x + 48 - 131", "Combine constants: 7x + 12 = 12x - 83", "Subtract 12x from both sides: -5x + 12 = -83", "Subtract 12 from both sides: -5x = -95", "Divide both sides by -5: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 1) + 5 = 12(x + 4) - 131", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 1, \"c\": 5, \"d\": 12, \"e\": 4, \"g\": -131, \"x\": 19}", "seed": "18023362198461763185", "semantic_fingerprint": "sha256:6d02c4cb1710a9b140a6e2a46b68f33b462e4b3a25c34992cb9f5443e51d3f64", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001331", "prompt": "Solve the equation -6(x - 6) + 82 = 12(x - 5) for x.", "solution_steps": ["Expand: -6x + 36 + 82 = 12(x - 5)", "Expand: -6x + 36 + 82 = 12x - 60", "Combine constants: -6x + 118 = 12x - 60", "Subtract 12x from both sides: -18x + 118 = -60", "Subtract 118 from both sides: -18x = -178", "Divide both sides by -18: x = 89/9"], "final_answer": "89/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 6) + 82 = 12(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 6, \"c\": 82, \"d\": 12, \"e\": 5}", "seed": "2923955945009265363", "semantic_fingerprint": "sha256:2ec904ba82cfe69e7abef4c04430f7caa2d507235520be26be94927a7006c5e9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001332", "prompt": "Solve for x: 2(x + 9) - 536 = x - 91", "solution_steps": ["Expand: 2x + 18 - 536 = x - 91", "Combine constants: 2x - 518 = x - 91", "Subtract x from both sides: x - 518 = -91", "Add 518 to both sides: x = 427"], "final_answer": "427", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 9) - 536 = x - 91", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 536, \"d\": 91}", "seed": "16200649392569545204", "semantic_fingerprint": "sha256:d37164227d8a383c4e22fca36f87abbc45de34a09e96bad34593a61a532fe216", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001333", "prompt": "Solve for x: 7(x + 36) + 57 = -10(x + 9) - 50", "solution_steps": ["Expand: 7x + 252 + 57 = -10(x + 9) - 50", "Expand: 7x + 252 + 57 = -10x - 90 - 50", "Combine constants: 7x + 309 = -10x - 90 - 50", "Combine constants: 7x + 309 = -10x - 140", "Add 10x to both sides: 17x + 309 = -140", "Subtract 309 from both sides: 17x = -449", "Divide both sides by 17: x = -449/17"], "final_answer": "-449/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 36) + 57 = -10(x + 9) - 50", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 36, \"c\": 57, \"d\": -10, \"e\": 9, \"f\": 50}", "seed": "8940801503743304226", "semantic_fingerprint": "sha256:a1476c25119260ff12d0ef65784f301f4298456d813f95986f0fa5cd3f5db684", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001334", "prompt": "Compute: -97 / (-56) - (-5 - 776) + 91 * 7", "solution_steps": ["Divide: -97 / (-56) = 97/56", "Subtract: -5 - 776 = -781", "Subtract: 97/56 - (-781) = 43833/56", "Multiply: 91 * 7 = 637", "Add: 43833/56 + 637 = 79505/56"], "final_answer": "79505/56", "answer_type": "rational", "kind": "expression", "math_text": "-97 / (-56) - (-5 - 776) + 91 * 7", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n n) (- n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": -56, \"c\": -5, \"d\": 776, \"e\": 91, \"f\": 7}", "seed": "640558847436511088", "semantic_fingerprint": "sha256:326c078059ee0f8c4154a109fff47b13d7a1b070ee1dc2e1f3fd91cf53ca811d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001335", "prompt": "Evaluate: 1 + (-9) - (-65 - 139) + (-60)", "solution_steps": ["Add: 1 + (-9) = -8", "Subtract: -65 - 139 = -204", "Subtract: -8 - (-204) = 196", "Add: 196 + (-60) = 136"], "final_answer": "136", "answer_type": "integer", "kind": "expression", "math_text": "1 + (-9) - (-65 - 139) + (-60)", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -9, \"c\": -65, \"d\": 139, \"e\": -60}", "seed": "3221812962882145841", "semantic_fingerprint": "sha256:e4c80ada338671ed9d8ced8b5a87bbc194171c98449185dbbe04bc7110cccd5e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001336", "prompt": "What is -91 / (5 + 53 + 940) + (3 + (-703))?", "solution_steps": ["Add: 5 + 53 = 58", "Add: 58 + 940 = 998", "Divide: -91 / 998 = -91/998", "Add: 3 + (-703) = -700", "Add: -91/998 + (-700) = -698691/998"], "final_answer": "-698691/998", "answer_type": "rational", "kind": "expression", "math_text": "-91 / (5 + 53 + 940) + (3 + (-703))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (+ (+ n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": 5, \"c\": 53, \"d\": 940, \"e\": 3, \"f\": -703}", "seed": "9939319706800357733", "semantic_fingerprint": "sha256:ed2d1c301fee5e89bb2cb916bf413e10302818319c6220bcfc3024b3be946ede", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001337", "prompt": "Solve the equation 12(x - 4) = -9x - 426 for x.", "solution_steps": ["Expand: 12x - 48 = -9x - 426", "Add 9x to both sides: 21x - 48 = -426", "Add 48 to both sides: 21x = -378", "Divide both sides by 21: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 4) = -9x - 426", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": -9, \"e\": -426, \"x\": -18}", "seed": "6784434439035372681", "semantic_fingerprint": "sha256:73274b88fc87b98ac9e49f84370496f392cf2685aa744a5eb9a12fc6e63528d6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001338", "prompt": "Compute: (38 + 2) * (-478) * (-8 / 46)", "solution_steps": ["Add: 38 + 2 = 40", "Multiply: 40 * (-478) = -19120", "Divide: -8 / 46 = -4/23", "Multiply: -19120 * (-4/23) = 76480/23"], "final_answer": "76480/23", "answer_type": "rational", "kind": "expression", "math_text": "(38 + 2) * (-478) * (-8 / 46)", "variable": null, "family": "expression_4op", "shape": "(* (* (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 2, \"c\": -478, \"d\": -8, \"e\": 46}", "seed": "12834288063196409852", "semantic_fingerprint": "sha256:f2c1d7fa7d0ce5255e7a12286123cf898476e6ee53ddb5a974e4d73660822be0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001339", "prompt": "What is (-1 - (-5)) * (114 * 5 / (1 * 196))?", "solution_steps": ["Subtract: -1 - (-5) = 4", "Multiply: 114 * 5 = 570", "Multiply: 1 * 196 = 196", "Divide: 570 / 196 = 285/98", "Multiply: 4 * (285/98) = 570/49"], "final_answer": "570/49", "answer_type": "rational", "kind": "expression", "math_text": "(-1 - (-5)) * (114 * 5 / (1 * 196))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (/ (* n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -5, \"c\": 114, \"d\": 5, \"e\": 1, \"f\": 196}", "seed": "17355659455775639080", "semantic_fingerprint": "sha256:f480503d0b542cad1a42f1010f695f1ab8680f35990e07369f3d986e98695ee2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001340", "prompt": "What is -6 + 34 * 3 * (-69 * 44)?", "solution_steps": ["Multiply: 34 * 3 = 102", "Multiply: -69 * 44 = -3036", "Multiply: 102 * (-3036) = -309672", "Add: -6 + (-309672) = -309678"], "final_answer": "-309678", "answer_type": "integer", "kind": "expression", "math_text": "-6 + 34 * 3 * (-69 * 44)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (* n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 34, \"c\": 3, \"d\": -69, \"e\": 44}", "seed": "2305801721955470123", "semantic_fingerprint": "sha256:2c4db9f8485108a36ef18228b2bb6da9d8455a2ea26eccba09773476c5e78f20", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001341", "prompt": "Calculate: (-25 - (-509)) / (6 * (-75))", "solution_steps": ["Subtract: -25 - (-509) = 484", "Multiply: 6 * (-75) = -450", "Divide: 484 / (-450) = -242/225"], "final_answer": "-242/225", "answer_type": "rational", "kind": "expression", "math_text": "(-25 - (-509)) / (6 * (-75))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -509, \"c\": 6, \"d\": -75}", "seed": "16749456474215359725", "semantic_fingerprint": "sha256:841923ab32359f9bf6e3479b6f082379dc1f802126851b99ed282da4f4b00d4d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001342", "prompt": "What is (-104 / (-5) - (-3) - (-581)) / 7 - (-52)?", "solution_steps": ["Divide: -104 / (-5) = 104/5", "Subtract: 104/5 - (-3) = 119/5", "Subtract: 119/5 - (-581) = 3024/5", "Divide: (3024/5) / 7 = 432/5", "Subtract: 432/5 - (-52) = 692/5"], "final_answer": "692/5", "answer_type": "rational", "kind": "expression", "math_text": "(-104 / (-5) - (-3) - (-581)) / 7 - (-52)", "variable": null, "family": "expression_5op", "shape": "(- (/ (- (- (/ n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -104, \"b\": -5, \"c\": -3, \"d\": -581, \"e\": 7, \"f\": -52}", "seed": "14143619012464961681", "semantic_fingerprint": "sha256:3c5026cbeb99c1c5b82d62b6a4bb56ac38b81f2a3d60654c2c7a1e2b46dbebe9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001343", "prompt": "Solve the equation 12(x - 365) + 3 = 10(x - 99) for x.", "solution_steps": ["Expand: 12x - 4380 + 3 = 10(x - 99)", "Expand: 12x - 4380 + 3 = 10x - 990", "Combine constants: 12x - 4377 = 10x - 990", "Subtract 10x from both sides: 2x - 4377 = -990", "Add 4377 to both sides: 2x = 3387", "Divide both sides by 2: x = 3387/2"], "final_answer": "3387/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 365) + 3 = 10(x - 99)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 365, \"c\": 3, \"d\": 10, \"e\": 99}", "seed": "15366559700115475928", "semantic_fingerprint": "sha256:fbb0ef84329ec0c32c7be964ac8333c3e4dc4fdd651c7e558531626d27ca9efe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001344", "prompt": "Evaluate: (42 - (-646)) / (8 * (-4))", "solution_steps": ["Subtract: 42 - (-646) = 688", "Multiply: 8 * (-4) = -32", "Divide: 688 / (-32) = -43/2"], "final_answer": "-43/2", "answer_type": "rational", "kind": "expression", "math_text": "(42 - (-646)) / (8 * (-4))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -646, \"c\": 8, \"d\": -4}", "seed": "15750361931095677875", "semantic_fingerprint": "sha256:2b8cb1362500dadb43d3f114debf559e2a2d5d5f887df3ea480e91bf625e0697", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001345", "prompt": "Compute: 5 * (-6 * (-64 - 914))", "solution_steps": ["Subtract: -64 - 914 = -978", "Multiply: -6 * (-978) = 5868", "Multiply: 5 * 5868 = 29340"], "final_answer": "29340", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-6 * (-64 - 914))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -6, \"c\": -64, \"d\": 914}", "seed": "15557281602383643270", "semantic_fingerprint": "sha256:f0c2b5eb03b6c8b72d2dce030b2fb9fe305bf9c8f6e5610e8c619a0346e9b1bb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001346", "prompt": "Solve the equation -8(x - 674) + 32 = 3x + 6 for x.", "solution_steps": ["Expand: -8x + 5392 + 32 = 3x + 6", "Combine constants: -8x + 5424 = 3x + 6", "Subtract 3x from both sides: -11x + 5424 = 6", "Subtract 5424 from both sides: -11x = -5418", "Divide both sides by -11: x = 5418/11"], "final_answer": "5418/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 674) + 32 = 3x + 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 674, \"c\": 32, \"d\": 3, \"e\": 6}", "seed": "12682770285550127989", "semantic_fingerprint": "sha256:31ee268851fcc0c9fecb30b15a72b92bbb2e2c7fa4f62aa6ea42d09176403b03", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001347", "prompt": "Evaluate: (9 / (-528) + 8) * 625", "solution_steps": ["Divide: 9 / (-528) = -3/176", "Add: -3/176 + 8 = 1405/176", "Multiply: (1405/176) * 625 = 878125/176"], "final_answer": "878125/176", "answer_type": "rational", "kind": "expression", "math_text": "(9 / (-528) + 8) * 625", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -528, \"c\": 8, \"d\": 625}", "seed": "1879925029052739948", "semantic_fingerprint": "sha256:dab0f9333220e5af6a4d83f2dc71d2544edbb8343a5e266c5efb2516efa34f4c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001348", "prompt": "Solve the equation -7(x + 97) - 92 = x - 659 for x.", "solution_steps": ["Expand: -7x - 679 - 92 = x - 659", "Combine constants: -7x - 771 = x - 659", "Subtract x from both sides: -8x - 771 = -659", "Add 771 to both sides: -8x = 112", "Divide both sides by -8: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 97) - 92 = x - 659", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 97, \"c\": 92, \"e\": -659, \"x\": -14}", "seed": "17682218071792283823", "semantic_fingerprint": "sha256:06e386a32658c1a488399db08636f904d30352e8111d1819f439c431b3d6cb34", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001349", "prompt": "What is (-18 - 307) / (1 * (-260))?", "solution_steps": ["Subtract: -18 - 307 = -325", "Multiply: 1 * (-260) = -260", "Divide: -325 / (-260) = 5/4"], "final_answer": "5/4", "answer_type": "rational", "kind": "expression", "math_text": "(-18 - 307) / (1 * (-260))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 307, \"c\": 1, \"d\": -260}", "seed": "8389175385349333639", "semantic_fingerprint": "sha256:b33d3e66e94c78db97828c4c23a8e428203158c9ec2a1c13bac9dd92ead7806b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001350", "prompt": "Compute: (586 + (84 - (-7))) / (2 * (-446 + 78))", "solution_steps": ["Subtract: 84 - (-7) = 91", "Add: 586 + 91 = 677", "Add: -446 + 78 = -368", "Multiply: 2 * (-368) = -736", "Divide: 677 / (-736) = -677/736"], "final_answer": "-677/736", "answer_type": "rational", "kind": "expression", "math_text": "(586 + (84 - (-7))) / (2 * (-446 + 78))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (- n n)) (* n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 586, \"b\": 84, \"c\": -7, \"d\": 2, \"e\": -446, \"f\": 78}", "seed": "4157743224582544749", "semantic_fingerprint": "sha256:d2777688c061e3aae2b876a6e05996c72299b6364138f4d7f5612510c27ae65a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001351", "prompt": "Solve the equation -5(x - 191) - 836 = -6(x - 19) for x.", "solution_steps": ["Expand: -5x + 955 - 836 = -6(x - 19)", "Expand: -5x + 955 - 836 = -6x + 114", "Combine constants: -5x + 119 = -6x + 114", "Add 6x to both sides: x + 119 = 114", "Subtract 119 from both sides: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 191) - 836 = -6(x - 19)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 191, \"c\": -6, \"d\": 19, \"f\": -836, \"x\": -5}", "seed": "635543054289657757", "semantic_fingerprint": "sha256:5a4f40dbb232fc67ad8b4e85f660aefaea2316a0b060d44b963237ca9c5b02ad", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001352", "prompt": "Solve the equation -11(x - 56) - 535 = 12(x - 7) for x.", "solution_steps": ["Expand: -11x + 616 - 535 = 12(x - 7)", "Expand: -11x + 616 - 535 = 12x - 84", "Combine constants: -11x + 81 = 12x - 84", "Subtract 12x from both sides: -23x + 81 = -84", "Subtract 81 from both sides: -23x = -165", "Divide both sides by -23: x = 165/23"], "final_answer": "165/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 56) - 535 = 12(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 56, \"c\": 535, \"d\": 12, \"e\": 7}", "seed": "12238022816383312974", "semantic_fingerprint": "sha256:9aacba4dde3b666ed2505a2a6a64e9078d5582d3f1b94b60359c0d96a18a6002", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001353", "prompt": "Evaluate: 50 / (-941) - (-224) - 2", "solution_steps": ["Divide: 50 / (-941) = -50/941", "Subtract: -50/941 - (-224) = 210734/941", "Subtract: 210734/941 - 2 = 208852/941"], "final_answer": "208852/941", "answer_type": "rational", "kind": "expression", "math_text": "50 / (-941) - (-224) - 2", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -941, \"c\": -224, \"d\": 2}", "seed": "2885348009926984232", "semantic_fingerprint": "sha256:ce4debb9e9b824be7c0bf63cb64fc12e6b148ce9ef68d1e168e4d71fc810ca32", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001354", "prompt": "Evaluate: -20 - 13 / (-1 / 3)", "solution_steps": ["Divide: -1 / 3 = -1/3", "Divide: 13 / (-1/3) = -39", "Subtract: -20 - (-39) = 19"], "final_answer": "19", "answer_type": "integer", "kind": "expression", "math_text": "-20 - 13 / (-1 / 3)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 13, \"c\": -1, \"d\": 3}", "seed": "6861762508298817823", "semantic_fingerprint": "sha256:605723a632791237ed62ee0c0a71f5edb745702fbaeb60bd7c0956102bca923a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001355", "prompt": "Evaluate: -9 / (-64 * (-155) / 767)", "solution_steps": ["Multiply: -64 * (-155) = 9920", "Divide: 9920 / 767 = 9920/767", "Divide: -9 / (9920/767) = -6903/9920"], "final_answer": "-6903/9920", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-64 * (-155) / 767)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -64, \"c\": -155, \"d\": 767}", "seed": "1629067092327070343", "semantic_fingerprint": "sha256:3f7beb08466db066977f121aa6ae042b936b2d8669ce0023a7266934b9b1b75b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001356", "prompt": "What is 29 + 996 + (-7 - (8 + (-48))) - (-83)?", "solution_steps": ["Add: 29 + 996 = 1025", "Add: 8 + (-48) = -40", "Subtract: -7 - (-40) = 33", "Add: 1025 + 33 = 1058", "Subtract: 1058 - (-83) = 1141"], "final_answer": "1141", "answer_type": "integer", "kind": "expression", "math_text": "29 + 996 + (-7 - (8 + (-48))) - (-83)", "variable": null, "family": "expression_5op", "shape": "(- (+ (+ n n) (- n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 996, \"c\": -7, \"d\": 8, \"e\": -48, \"f\": -83}", "seed": "1168436738854107803", "semantic_fingerprint": "sha256:c9663c779a55c302df3d472aee7a2aee519b0046506c10012e488c47a8d2cf06", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001357", "prompt": "Find x: 7(x - 3) = 11x - 37", "solution_steps": ["Expand: 7x - 21 = 11x - 37", "Subtract 11x from both sides: -4x - 21 = -37", "Add 21 to both sides: -4x = -16", "Divide both sides by -4: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 3) = 11x - 37", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"c\": 11, \"e\": -37, \"x\": 4}", "seed": "4249275874522459519", "semantic_fingerprint": "sha256:4ce6c6711a2c676e411cf471d3d62ee392a1a8fa341e08c9c2ba091215357e23", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001358", "prompt": "Calculate: 88 - (94 + 6) + (-3)", "solution_steps": ["Add: 94 + 6 = 100", "Subtract: 88 - 100 = -12", "Add: -12 + (-3) = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "expression", "math_text": "88 - (94 + 6) + (-3)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 94, \"c\": 6, \"d\": -3}", "seed": "14786920682532809804", "semantic_fingerprint": "sha256:b0d0164ed0848aa58f8c5dc0a2222dce88c7c47831c8406870b080e002387219", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001359", "prompt": "Solve the equation 6(x - 3) + 4 = 5(x + 8) - 9 for x.", "solution_steps": ["Expand: 6x - 18 + 4 = 5(x + 8) - 9", "Expand: 6x - 18 + 4 = 5x + 40 - 9", "Combine constants: 6x - 14 = 5x + 40 - 9", "Combine constants: 6x - 14 = 5x + 31", "Subtract 5x from both sides: x - 14 = 31", "Add 14 to both sides: x = 45"], "final_answer": "45", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 3) + 4 = 5(x + 8) - 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 4, \"d\": 5, \"e\": 8, \"f\": 9}", "seed": "6687846035489904815", "semantic_fingerprint": "sha256:08c4138344b20551dc0cc5c7288e1b3247038c045186c00265f14312b82186b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001360", "prompt": "What is 81 * (-6) / (2 + (-1))?", "solution_steps": ["Multiply: 81 * (-6) = -486", "Add: 2 + (-1) = 1", "Divide: -486 / 1 = -486"], "final_answer": "-486", "answer_type": "integer", "kind": "expression", "math_text": "81 * (-6) / (2 + (-1))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": -6, \"c\": 2, \"d\": -1}", "seed": "12515063186601961214", "semantic_fingerprint": "sha256:83cbaffd3ad3669430cd376ed305e8f1ea07c1d820eaffd5bd75fb586968665f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001361", "prompt": "What value of x satisfies 7(x - 88) + 6 = 8(x + 3) - 614?", "solution_steps": ["Expand: 7x - 616 + 6 = 8(x + 3) - 614", "Expand: 7x - 616 + 6 = 8x + 24 - 614", "Combine constants: 7x - 610 = 8x + 24 - 614", "Combine constants: 7x - 610 = 8x - 590", "Subtract 8x from both sides: -x - 610 = -590", "Add 610 to both sides: -x = 20", "Divide both sides by -1: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 88) + 6 = 8(x + 3) - 614", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 88, \"c\": 6, \"d\": 8, \"e\": 3, \"g\": -614, \"x\": -20}", "seed": "1006992988844990992", "semantic_fingerprint": "sha256:eb2c9324da18e880c4a4027a796dfa728669ca5181de34e80c3c9ac6b0c38c9f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001362", "prompt": "Calculate: 32 / 14 * (-66 - (-716 + 77)) / (-1)", "solution_steps": ["Divide: 32 / 14 = 16/7", "Add: -716 + 77 = -639", "Subtract: -66 - (-639) = 573", "Multiply: (16/7) * 573 = 9168/7", "Divide: (9168/7) / (-1) = -9168/7"], "final_answer": "-9168/7", "answer_type": "rational", "kind": "expression", "math_text": "32 / 14 * (-66 - (-716 + 77)) / (-1)", "variable": null, "family": "expression_5op", "shape": "(/ (* (/ n n) (- n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": 14, \"c\": -66, \"d\": -716, \"e\": 77, \"f\": -1}", "seed": "17604547453436090884", "semantic_fingerprint": "sha256:293d914173ff6e211179cd9f8bc2f58441f69fedb646bb1b741e02fba9483314", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001363", "prompt": "Solve for x: -6(x - 387) - 49 = 4(x - 20)", "solution_steps": ["Expand: -6x + 2322 - 49 = 4(x - 20)", "Expand: -6x + 2322 - 49 = 4x - 80", "Combine constants: -6x + 2273 = 4x - 80", "Subtract 4x from both sides: -10x + 2273 = -80", "Subtract 2273 from both sides: -10x = -2353", "Divide both sides by -10: x = 2353/10"], "final_answer": "2353/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 387) - 49 = 4(x - 20)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 387, \"c\": 49, \"d\": 4, \"e\": 20}", "seed": "14219760148722605917", "semantic_fingerprint": "sha256:f15dbffc1ed17a6e9d6e3062ea65c384f69396c10a4afe988d26d36968ae2592", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001364", "prompt": "Solve for x: 8(x - 6) - 50 = 2(x - 1)", "solution_steps": ["Expand: 8x - 48 - 50 = 2(x - 1)", "Expand: 8x - 48 - 50 = 2x - 2", "Combine constants: 8x - 98 = 2x - 2", "Subtract 2x from both sides: 6x - 98 = -2", "Add 98 to both sides: 6x = 96", "Divide both sides by 6: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 6) - 50 = 2(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6, \"c\": 2, \"d\": 1, \"f\": -50, \"x\": 16}", "seed": "4173338337357604148", "semantic_fingerprint": "sha256:970264711e3eca558976ddde622188c17ded7e53bfa347fad42b24fbb96b3122", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001365", "prompt": "What is (-88 / 101 + (-28)) / (14 + 31)?", "solution_steps": ["Divide: -88 / 101 = -88/101", "Add: -88/101 + (-28) = -2916/101", "Add: 14 + 31 = 45", "Divide: (-2916/101) / 45 = -324/505"], "final_answer": "-324/505", "answer_type": "rational", "kind": "expression", "math_text": "(-88 / 101 + (-28)) / (14 + 31)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": 101, \"c\": -28, \"d\": 14, \"e\": 31}", "seed": "8085737753394130950", "semantic_fingerprint": "sha256:fcc53b531b4171c658e5beb2dc2d3cafcae298ce77922b612d88a499db1a4d27", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001366", "prompt": "Evaluate: 60 / (-86 * (25 / (-8) * (-4)))", "solution_steps": ["Divide: 25 / (-8) = -25/8", "Multiply: (-25/8) * (-4) = 25/2", "Multiply: -86 * (25/2) = -1075", "Divide: 60 / (-1075) = -12/215"], "final_answer": "-12/215", "answer_type": "rational", "kind": "expression", "math_text": "60 / (-86 * (25 / (-8) * (-4)))", "variable": null, "family": "expression_4op", "shape": "(/ n (* n (* (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": -86, \"c\": 25, \"d\": -8, \"e\": -4}", "seed": "8674238851485835734", "semantic_fingerprint": "sha256:5491d05e19f981d5613d83c9a74e01e7d34bda2b5002305cc376c9a16d59420f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001367", "prompt": "What is (-132 + (-23)) * (-4) * (8 + 0)?", "solution_steps": ["Add: -132 + (-23) = -155", "Multiply: -155 * (-4) = 620", "Add: 8 + 0 = 8", "Multiply: 620 * 8 = 4960"], "final_answer": "4960", "answer_type": "integer", "kind": "expression", "math_text": "(-132 + (-23)) * (-4) * (8 + 0)", "variable": null, "family": "expression_4op", "shape": "(* (* (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -132, \"b\": -23, \"c\": -4, \"d\": 8, \"e\": 0}", "seed": "16707063732903445578", "semantic_fingerprint": "sha256:33d3ced02cf8d9c2f892596ce52c47ffc7b5fb234354d7226bcac8a46c39dcac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001368", "prompt": "What is -36 - 827 / (9 / 66)?", "solution_steps": ["Divide: 9 / 66 = 3/22", "Divide: 827 / (3/22) = 18194/3", "Subtract: -36 - 18194/3 = -18302/3"], "final_answer": "-18302/3", "answer_type": "rational", "kind": "expression", "math_text": "-36 - 827 / (9 / 66)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": 827, \"c\": 9, \"d\": 66}", "seed": "6057302505110223888", "semantic_fingerprint": "sha256:2cff7188afaabe24e58d0abb6048e9d3a2bde6bb0ee3487e57fd259062d9e17d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001369", "prompt": "What value of x satisfies 12(x - 2) + 93 = 10x + 75?", "solution_steps": ["Expand: 12x - 24 + 93 = 10x + 75", "Combine constants: 12x + 69 = 10x + 75", "Subtract 10x from both sides: 2x + 69 = 75", "Subtract 69 from both sides: 2x = 6", "Divide both sides by 2: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 2) + 93 = 10x + 75", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 93, \"d\": 10, \"f\": 75, \"x\": 3}", "seed": "2273552422434622565", "semantic_fingerprint": "sha256:2f3f3833c9d3933664d72a1493f03466e08577dd7c682a805768ac03379a3bcd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001370", "prompt": "What value of x satisfies -11(x - 413) + 928 = 8(x + 36) - 392?", "solution_steps": ["Expand: -11x + 4543 + 928 = 8(x + 36) - 392", "Expand: -11x + 4543 + 928 = 8x + 288 - 392", "Combine constants: -11x + 5471 = 8x + 288 - 392", "Combine constants: -11x + 5471 = 8x - 104", "Subtract 8x from both sides: -19x + 5471 = -104", "Subtract 5471 from both sides: -19x = -5575", "Divide both sides by -19: x = 5575/19"], "final_answer": "5575/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 413) + 928 = 8(x + 36) - 392", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 413, \"c\": 928, \"d\": 8, \"e\": 36, \"f\": 392}", "seed": "1215602317582372686", "semantic_fingerprint": "sha256:852033ee2976bf35fccc3d72f1f46306066cb3d190432401de5cbdfb787eabc8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001371", "prompt": "Solve the equation 5(x - 87) = -8x - 578 for x.", "solution_steps": ["Expand: 5x - 435 = -8x - 578", "Add 8x to both sides: 13x - 435 = -578", "Add 435 to both sides: 13x = -143", "Divide both sides by 13: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 87) = -8x - 578", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 87, \"c\": -8, \"e\": -578, \"x\": -11}", "seed": "10739275867641753374", "semantic_fingerprint": "sha256:2eb611be986631b6657dd709f4c0ccfe0794910ef3c0db033a776589e8ef9e5e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001372", "prompt": "Solve the equation x - 8 = -5(x - 2) + 78 for x.", "solution_steps": ["Expand: x - 8 = -5x + 10 + 78", "Combine constants: x - 8 = -5x + 88", "Add 5x to both sides: 6x - 8 = 88", "Add 8 to both sides: 6x = 96", "Divide both sides by 6: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8 = -5(x - 2) + 78", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -5, \"c\": 2, \"e\": 78, \"x\": 16}", "seed": "13561023494961811527", "semantic_fingerprint": "sha256:f68ba02688eba42fe947d085e0f57d866700017543b68d23ab3c2edcb9d3f554", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001373", "prompt": "Compute: (-1 - 2 + (-3)) * (-58)", "solution_steps": ["Subtract: -1 - 2 = -3", "Add: -3 + (-3) = -6", "Multiply: -6 * (-58) = 348"], "final_answer": "348", "answer_type": "integer", "kind": "expression", "math_text": "(-1 - 2 + (-3)) * (-58)", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 2, \"c\": -3, \"d\": -58}", "seed": "2148404374385777106", "semantic_fingerprint": "sha256:c0820161b503710eeea12502cdba54caaa689a56643fc4e2cce4f7b64a1dbf81", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001374", "prompt": "Calculate: (9 - (-1)) * (-299 * (-3))", "solution_steps": ["Subtract: 9 - (-1) = 10", "Multiply: -299 * (-3) = 897", "Multiply: 10 * 897 = 8970"], "final_answer": "8970", "answer_type": "integer", "kind": "expression", "math_text": "(9 - (-1)) * (-299 * (-3))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -1, \"c\": -299, \"d\": -3}", "seed": "18355005945685100125", "semantic_fingerprint": "sha256:c70bfe902fe018aae09026bb2fc606428bba74cbe68735263a11c72075a6a5af", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001375", "prompt": "Evaluate: 8 + (9 + (-58)) - (-723)", "solution_steps": ["Add: 9 + (-58) = -49", "Add: 8 + (-49) = -41", "Subtract: -41 - (-723) = 682"], "final_answer": "682", "answer_type": "integer", "kind": "expression", "math_text": "8 + (9 + (-58)) - (-723)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": -58, \"d\": -723}", "seed": "7045834125289463400", "semantic_fingerprint": "sha256:8cdd5c69dd8b3a80e2292908d04ff6b152f340647a8baadee44972a586629f86", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001376", "prompt": "Compute: -3 / (-78) - (97 + (-9 + (-45)) * 0)", "solution_steps": ["Divide: -3 / (-78) = 1/26", "Add: -9 + (-45) = -54", "Multiply: -54 * 0 = 0", "Add: 97 + 0 = 97", "Subtract: 1/26 - 97 = -2521/26"], "final_answer": "-2521/26", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-78) - (97 + (-9 + (-45)) * 0)", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (+ n (* (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -78, \"c\": 97, \"d\": -9, \"e\": -45, \"f\": 0}", "seed": "5729668568303515819", "semantic_fingerprint": "sha256:2a6091b8fec92549fc4dd2ce88c110a71b05bb26ce8707f2f94aaf42ba86e1e2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001377", "prompt": "Calculate: 0 / 14 - 5 - (-5)", "solution_steps": ["Divide: 0 / 14 = 0", "Subtract: 0 - 5 = -5", "Subtract: -5 - (-5) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / 14 - 5 - (-5)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 14, \"c\": 5, \"d\": -5}", "seed": "4370378147354916029", "semantic_fingerprint": "sha256:b1c1a196e89dba43c55100c5fdb6486b6b859d3f9f243ed5be4e096750f52396", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001378", "prompt": "Compute: -298 / (-82 * 645 / (-45))", "solution_steps": ["Multiply: -82 * 645 = -52890", "Divide: -52890 / (-45) = 3526/3", "Divide: -298 / (3526/3) = -447/1763"], "final_answer": "-447/1763", "answer_type": "rational", "kind": "expression", "math_text": "-298 / (-82 * 645 / (-45))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -298, \"b\": -82, \"c\": 645, \"d\": -45}", "seed": "1566050750559445962", "semantic_fingerprint": "sha256:3cca08ce7c115e56d843443e779291a629d127c44252e19edfd8327a86441f14", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001379", "prompt": "Calculate: 95 * (62 - (-1) + 8)", "solution_steps": ["Subtract: 62 - (-1) = 63", "Add: 63 + 8 = 71", "Multiply: 95 * 71 = 6745"], "final_answer": "6745", "answer_type": "integer", "kind": "expression", "math_text": "95 * (62 - (-1) + 8)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": 62, \"c\": -1, \"d\": 8}", "seed": "5580975593205864444", "semantic_fingerprint": "sha256:5bd4e7b047d66b86ee32770cc672ce77e04246e85a27f99aba3e428a6d4558c2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001380", "prompt": "Compute: 442 - (4 + 7) + 89", "solution_steps": ["Add: 4 + 7 = 11", "Subtract: 442 - 11 = 431", "Add: 431 + 89 = 520"], "final_answer": "520", "answer_type": "integer", "kind": "expression", "math_text": "442 - (4 + 7) + 89", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 442, \"b\": 4, \"c\": 7, \"d\": 89}", "seed": "4349706174892948102", "semantic_fingerprint": "sha256:8e269a287f816ea0de35172742685a30f0fb79700a8f6e0a98c9e5f0edc5cfea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001381", "prompt": "Evaluate: 73 * (-4 * 2) - 0", "solution_steps": ["Multiply: -4 * 2 = -8", "Multiply: 73 * (-8) = -584", "Subtract: -584 - 0 = -584"], "final_answer": "-584", "answer_type": "integer", "kind": "expression", "math_text": "73 * (-4 * 2) - 0", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -4, \"c\": 2, \"d\": 0}", "seed": "2820807725574546559", "semantic_fingerprint": "sha256:9e6642171ad7bf372447e34d47bf655dd0916b4fd09aee0ead4329424c7fdc2e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001382", "prompt": "Compute: (7 * (-51) - 9) / (213 / (-4))", "solution_steps": ["Multiply: 7 * (-51) = -357", "Subtract: -357 - 9 = -366", "Divide: 213 / (-4) = -213/4", "Divide: -366 / (-213/4) = 488/71"], "final_answer": "488/71", "answer_type": "rational", "kind": "expression", "math_text": "(7 * (-51) - 9) / (213 / (-4))", "variable": null, "family": "expression_4op", "shape": "(/ (- (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -51, \"c\": 9, \"d\": 213, \"e\": -4}", "seed": "6124620045480825292", "semantic_fingerprint": "sha256:c5d10b4421329e43350b918e06377ee7792d6af089725027520417beee3140ac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001383", "prompt": "Compute: 95 * (5 * (463 - (-20)))", "solution_steps": ["Subtract: 463 - (-20) = 483", "Multiply: 5 * 483 = 2415", "Multiply: 95 * 2415 = 229425"], "final_answer": "229425", "answer_type": "integer", "kind": "expression", "math_text": "95 * (5 * (463 - (-20)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": 5, \"c\": 463, \"d\": -20}", "seed": "17421632878329752297", "semantic_fingerprint": "sha256:7ef535f7f4b71bd996738aa4e11265ef1e3022d5a923e453b210c50f67540bd4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001384", "prompt": "Calculate: (494 * 25 + 87) * 4", "solution_steps": ["Multiply: 494 * 25 = 12350", "Add: 12350 + 87 = 12437", "Multiply: 12437 * 4 = 49748"], "final_answer": "49748", "answer_type": "integer", "kind": "expression", "math_text": "(494 * 25 + 87) * 4", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 494, \"b\": 25, \"c\": 87, \"d\": 4}", "seed": "1844875008237953617", "semantic_fingerprint": "sha256:3821a236d407e86ad21c72f925c0d41f92c86605170998f21868eb96912b8f5d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001385", "prompt": "Calculate: 875 / (-609 * 290 / 24)", "solution_steps": ["Multiply: -609 * 290 = -176610", "Divide: -176610 / 24 = -29435/4", "Divide: 875 / (-29435/4) = -100/841"], "final_answer": "-100/841", "answer_type": "rational", "kind": "expression", "math_text": "875 / (-609 * 290 / 24)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 875, \"b\": -609, \"c\": 290, \"d\": 24}", "seed": "4093133881411059124", "semantic_fingerprint": "sha256:6086e72e70c20c617c01990c49796ae2fc1652317ced106cd8af1b65c5e360d3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001386", "prompt": "Compute: 92 * (-42) + (9 * 7 + 94)", "solution_steps": ["Multiply: 92 * (-42) = -3864", "Multiply: 9 * 7 = 63", "Add: 63 + 94 = 157", "Add: -3864 + 157 = -3707"], "final_answer": "-3707", "answer_type": "integer", "kind": "expression", "math_text": "92 * (-42) + (9 * 7 + 94)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": -42, \"c\": 9, \"d\": 7, \"e\": 94}", "seed": "16062866097101528114", "semantic_fingerprint": "sha256:88a1fd410f3223348c96c75dbd255021e0c2e3c95f8f9b50b21b601ffdacc55d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001387", "prompt": "Find x: 8(x + 4) + 69 = -2(x + 55) - 735", "solution_steps": ["Expand: 8x + 32 + 69 = -2(x + 55) - 735", "Expand: 8x + 32 + 69 = -2x - 110 - 735", "Combine constants: 8x + 101 = -2x - 110 - 735", "Combine constants: 8x + 101 = -2x - 845", "Add 2x to both sides: 10x + 101 = -845", "Subtract 101 from both sides: 10x = -946", "Divide both sides by 10: x = -473/5"], "final_answer": "-473/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 4) + 69 = -2(x + 55) - 735", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 69, \"d\": -2, \"e\": 55, \"f\": 735}", "seed": "7685129708500075591", "semantic_fingerprint": "sha256:f7573a5095b95e437f1e0cf13adebb5401867edc7da9a02317108df4b5e9f915", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001388", "prompt": "Find x: 7(x - 6) = -7x - 294", "solution_steps": ["Expand: 7x - 42 = -7x - 294", "Add 7x to both sides: 14x - 42 = -294", "Add 42 to both sides: 14x = -252", "Divide both sides by 14: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 6) = -7x - 294", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": -7, \"e\": -294, \"x\": -18}", "seed": "8493959360928157429", "semantic_fingerprint": "sha256:386ef206793d17ba635cd2efadd93106b7fefe2e1bb4c763262182977170627a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001389", "prompt": "Solve for x: x - 37 = 11(x - 5) + 2", "solution_steps": ["Expand: x - 37 = 11x - 55 + 2", "Combine constants: x - 37 = 11x - 53", "Subtract 11x from both sides: -10x - 37 = -53", "Add 37 to both sides: -10x = -16", "Divide both sides by -10: x = 8/5"], "final_answer": "8/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 37 = 11(x - 5) + 2", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": 11, \"c\": 5, \"d\": 2}", "seed": "2422121836179583922", "semantic_fingerprint": "sha256:041bd2db8d1c1aae6c6e61b3bea6a8ba413e3670ffb940745375047028f71fbc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001390", "prompt": "Calculate: -20 - (8 - (-30) * 97 + 68)", "solution_steps": ["Multiply: -30 * 97 = -2910", "Subtract: 8 - (-2910) = 2918", "Add: 2918 + 68 = 2986", "Subtract: -20 - 2986 = -3006"], "final_answer": "-3006", "answer_type": "integer", "kind": "expression", "math_text": "-20 - (8 - (-30) * 97 + 68)", "variable": null, "family": "expression_4op", "shape": "(- n (+ (- n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 8, \"c\": -30, \"d\": 97, \"e\": 68}", "seed": "11221821040902965518", "semantic_fingerprint": "sha256:bea81b91910cff8976b4fffa95fffaaf8c7f2a951cdec00c45ab275e727a2c9e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001391", "prompt": "Evaluate: (-89 - 51) * (-9 / 1)", "solution_steps": ["Subtract: -89 - 51 = -140", "Divide: -9 / 1 = -9", "Multiply: -140 * (-9) = 1260"], "final_answer": "1260", "answer_type": "integer", "kind": "expression", "math_text": "(-89 - 51) * (-9 / 1)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": 51, \"c\": -9, \"d\": 1}", "seed": "17121725618044652879", "semantic_fingerprint": "sha256:eca30aa1f8fa24ebd030951cf69598d184040a5b7d2771a4a4a1b06b7744bfcc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001392", "prompt": "What is 2 * (692 / 40 / (-2))?", "solution_steps": ["Divide: 692 / 40 = 173/10", "Divide: (173/10) / (-2) = -173/20", "Multiply: 2 * (-173/20) = -173/10"], "final_answer": "-173/10", "answer_type": "rational", "kind": "expression", "math_text": "2 * (692 / 40 / (-2))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 692, \"c\": 40, \"d\": -2}", "seed": "8512213014158667464", "semantic_fingerprint": "sha256:37e028714f4ead992c831276acb7404c31a0642c0c3f3df9ee47c0986678cfa1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001393", "prompt": "Compute: -85 * 30 + (57 + (-5 - (-77) / (-38)))", "solution_steps": ["Multiply: -85 * 30 = -2550", "Divide: -77 / (-38) = 77/38", "Subtract: -5 - 77/38 = -267/38", "Add: 57 + (-267/38) = 1899/38", "Add: -2550 + 1899/38 = -95001/38"], "final_answer": "-95001/38", "answer_type": "rational", "kind": "expression", "math_text": "-85 * 30 + (57 + (-5 - (-77) / (-38)))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (+ n (- n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": 30, \"c\": 57, \"d\": -5, \"e\": -77, \"f\": -38}", "seed": "15286315001864127548", "semantic_fingerprint": "sha256:ffe7fa8a7e5f494ab99ecc00d2d181a6f2038f86debbbef2da383a7021385f36", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001394", "prompt": "Calculate: (-34 * (-7) + (-683)) * 2", "solution_steps": ["Multiply: -34 * (-7) = 238", "Add: 238 + (-683) = -445", "Multiply: -445 * 2 = -890"], "final_answer": "-890", "answer_type": "integer", "kind": "expression", "math_text": "(-34 * (-7) + (-683)) * 2", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": -7, \"c\": -683, \"d\": 2}", "seed": "4450622126394843221", "semantic_fingerprint": "sha256:3ad4b42f025662d0bf9075a4b6307328320f5462fd805114d69b1fd9bb237a11", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001395", "prompt": "Solve the equation -9(x - 5) + 178 = 7x + 479 for x.", "solution_steps": ["Expand: -9x + 45 + 178 = 7x + 479", "Combine constants: -9x + 223 = 7x + 479", "Subtract 7x from both sides: -16x + 223 = 479", "Subtract 223 from both sides: -16x = 256", "Divide both sides by -16: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 5) + 178 = 7x + 479", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"c\": 178, \"d\": 7, \"f\": 479, \"x\": -16}", "seed": "13293418900792054182", "semantic_fingerprint": "sha256:b77cfaaf52f1765e39c317696ed96237b5fb2d087f0a648ba0e2ee27ab99bc65", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001396", "prompt": "What is 0 - (-32) * (-4) - 8?", "solution_steps": ["Multiply: -32 * (-4) = 128", "Subtract: 0 - 128 = -128", "Subtract: -128 - 8 = -136"], "final_answer": "-136", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-32) * (-4) - 8", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -32, \"c\": -4, \"d\": 8}", "seed": "12389499337440967216", "semantic_fingerprint": "sha256:c3c14c6f322af90e6d71a7d3ec0f448beb4a740f1a2f13750d2f6b64c645e34b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001397", "prompt": "Compute: 2 / (-46 - (-708) + 821)", "solution_steps": ["Subtract: -46 - (-708) = 662", "Add: 662 + 821 = 1483", "Divide: 2 / 1483 = 2/1483"], "final_answer": "2/1483", "answer_type": "rational", "kind": "expression", "math_text": "2 / (-46 - (-708) + 821)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -46, \"c\": -708, \"d\": 821}", "seed": "9535167512093863073", "semantic_fingerprint": "sha256:008a82241b447fb9c3c3e5bc195375a6b9630abea778b3553b22d28375a6f59f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001398", "prompt": "Solve for x: 7(x + 7) - 41 = x - 52", "solution_steps": ["Expand: 7x + 49 - 41 = x - 52", "Combine constants: 7x + 8 = x - 52", "Subtract x from both sides: 6x + 8 = -52", "Subtract 8 from both sides: 6x = -60", "Divide both sides by 6: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 7) - 41 = x - 52", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 41, \"e\": -52, \"x\": -10}", "seed": "9748880329925273703", "semantic_fingerprint": "sha256:308c25ba121dcbb035e91b0a8b5da060904521201a823e5843f04bacb7d1d225", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001399", "prompt": "What is -10 - (-704) + 0 / (-87 - 82 * 87)?", "solution_steps": ["Subtract: -10 - (-704) = 694", "Multiply: 82 * 87 = 7134", "Subtract: -87 - 7134 = -7221", "Divide: 0 / (-7221) = 0", "Add: 694 + 0 = 694"], "final_answer": "694", "answer_type": "integer", "kind": "expression", "math_text": "-10 - (-704) + 0 / (-87 - 82 * 87)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (/ n (- n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -704, \"c\": 0, \"d\": -87, \"e\": 82, \"f\": 87}", "seed": "6388710023660320845", "semantic_fingerprint": "sha256:99cdb956c0ff46ff480dec7a7f62141100fd18ff04a70a6465359564b30ad594", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001400", "prompt": "Calculate: -837 + ((-28 - 9) / (-1) + (-8)) * (-646)", "solution_steps": ["Subtract: -28 - 9 = -37", "Divide: -37 / (-1) = 37", "Add: 37 + (-8) = 29", "Multiply: 29 * (-646) = -18734", "Add: -837 + (-18734) = -19571"], "final_answer": "-19571", "answer_type": "integer", "kind": "expression", "math_text": "-837 + ((-28 - 9) / (-1) + (-8)) * (-646)", "variable": null, "family": "expression_5op", "shape": "(+ n (* (+ (/ (- n n) n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -837, \"b\": -28, \"c\": 9, \"d\": -1, \"e\": -8, \"f\": -646}", "seed": "2319969091019904317", "semantic_fingerprint": "sha256:bfda2f5fb40ab06070b69d4ac5e1d410c7ce4d8255e8717251e37973471ff6de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001401", "prompt": "Compute: 0 / (-65) - (-6 - (-9) + (-74))", "solution_steps": ["Divide: 0 / (-65) = 0", "Subtract: -6 - (-9) = 3", "Add: 3 + (-74) = -71", "Subtract: 0 - (-71) = 71"], "final_answer": "71", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-65) - (-6 - (-9) + (-74))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -65, \"c\": -6, \"d\": -9, \"e\": -74}", "seed": "9690551468977260604", "semantic_fingerprint": "sha256:fd0ce33010ae9be8d8c08041b05c5e443aef4bddec5d5ba8d8155987e81eb529", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001402", "prompt": "Calculate: (-671 / 3 + 78) / (68 - (-608) - (-1))", "solution_steps": ["Divide: -671 / 3 = -671/3", "Add: -671/3 + 78 = -437/3", "Subtract: 68 - (-608) = 676", "Subtract: 676 - (-1) = 677", "Divide: (-437/3) / 677 = -437/2031"], "final_answer": "-437/2031", "answer_type": "rational", "kind": "expression", "math_text": "(-671 / 3 + 78) / (68 - (-608) - (-1))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (/ n n) n) (- (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -671, \"b\": 3, \"c\": 78, \"d\": 68, \"e\": -608, \"f\": -1}", "seed": "6607370488831215490", "semantic_fingerprint": "sha256:45802eb216a624009e4ba661cbce22dab9d84495c0fe26fb3914c1fb32c1a608", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001403", "prompt": "What value of x satisfies 4(x - 42) = 12x - 72?", "solution_steps": ["Expand: 4x - 168 = 12x - 72", "Subtract 12x from both sides: -8x - 168 = -72", "Add 168 to both sides: -8x = 96", "Divide both sides by -8: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 42) = 12x - 72", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 42, \"c\": 12, \"d\": 72}", "seed": "13059874013613600643", "semantic_fingerprint": "sha256:2ac47fa754d8d6c7cdb95e285c429070d5974b1227d7883196e7f33f26185bf6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001404", "prompt": "Solve the equation 7(x + 96) + 71 = -7(x + 43) - 8 for x.", "solution_steps": ["Expand: 7x + 672 + 71 = -7(x + 43) - 8", "Expand: 7x + 672 + 71 = -7x - 301 - 8", "Combine constants: 7x + 743 = -7x - 301 - 8", "Combine constants: 7x + 743 = -7x - 309", "Add 7x to both sides: 14x + 743 = -309", "Subtract 743 from both sides: 14x = -1052", "Divide both sides by 14: x = -526/7"], "final_answer": "-526/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 96) + 71 = -7(x + 43) - 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 96, \"c\": 71, \"d\": -7, \"e\": 43, \"f\": 8}", "seed": "14427522218610332192", "semantic_fingerprint": "sha256:d88a17b87333f442ba7b91e6ffb5781b06fab1128510bb3fdaf917d3d55a87b0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001405", "prompt": "Calculate: 30 * (-715 / (-58) / (-5) + (-280))", "solution_steps": ["Divide: -715 / (-58) = 715/58", "Divide: (715/58) / (-5) = -143/58", "Add: -143/58 + (-280) = -16383/58", "Multiply: 30 * (-16383/58) = -245745/29"], "final_answer": "-245745/29", "answer_type": "rational", "kind": "expression", "math_text": "30 * (-715 / (-58) / (-5) + (-280))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (/ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": -715, \"c\": -58, \"d\": -5, \"e\": -280}", "seed": "13705378086429033149", "semantic_fingerprint": "sha256:bd45a3b175ffd1ea949f2ac52e59568ff640dfd31720703a1da2aeaff92d1b02", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001406", "prompt": "Solve the equation 9(x - 8) + 92 = -10(x - 2) for x.", "solution_steps": ["Expand: 9x - 72 + 92 = -10(x - 2)", "Expand: 9x - 72 + 92 = -10x + 20", "Combine constants: 9x + 20 = -10x + 20", "Add 10x to both sides: 19x + 20 = 20", "Subtract 20 from both sides: 19x = 0", "Divide both sides by 19: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 8) + 92 = -10(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": -10, \"d\": 2, \"f\": 92, \"x\": 0}", "seed": "15472488966276705178", "semantic_fingerprint": "sha256:3c11d7e8ffb5b97103eb46cf530cf5bd6b6efdaa69b6266dcc4fbf1cdbb40335", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001407", "prompt": "Compute: (-554 - 6) * (886 / (-762))", "solution_steps": ["Subtract: -554 - 6 = -560", "Divide: 886 / (-762) = -443/381", "Multiply: -560 * (-443/381) = 248080/381"], "final_answer": "248080/381", "answer_type": "rational", "kind": "expression", "math_text": "(-554 - 6) * (886 / (-762))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -554, \"b\": 6, \"c\": 886, \"d\": -762}", "seed": "17711605410733623594", "semantic_fingerprint": "sha256:79b4df9e2b49350e77edded4156bd9d83c0bcd788dddab4879f8df34c48cf3b9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001408", "prompt": "Evaluate: 2 - 0 * (-95) - (-1)", "solution_steps": ["Multiply: 0 * (-95) = 0", "Subtract: 2 - 0 = 2", "Subtract: 2 - (-1) = 3"], "final_answer": "3", "answer_type": "integer", "kind": "expression", "math_text": "2 - 0 * (-95) - (-1)", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 0, \"c\": -95, \"d\": -1}", "seed": "4773662740680675492", "semantic_fingerprint": "sha256:f6a47d686cefef316bf34dcf9cc5f84fce167dfbf808ad8fcbbe451afce623f9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001409", "prompt": "What is (-99 / 10 + 190) * 464?", "solution_steps": ["Divide: -99 / 10 = -99/10", "Add: -99/10 + 190 = 1801/10", "Multiply: (1801/10) * 464 = 417832/5"], "final_answer": "417832/5", "answer_type": "rational", "kind": "expression", "math_text": "(-99 / 10 + 190) * 464", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": 10, \"c\": 190, \"d\": 464}", "seed": "1747227832299028063", "semantic_fingerprint": "sha256:4efe3684f2d10716792f9c38afda08e446e62be9cec2c8010615afeb1f3e5829", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001410", "prompt": "Solve the equation 4(x - 82) + 6 = 3x + 5 for x.", "solution_steps": ["Expand: 4x - 328 + 6 = 3x + 5", "Combine constants: 4x - 322 = 3x + 5", "Subtract 3x from both sides: x - 322 = 5", "Add 322 to both sides: x = 327"], "final_answer": "327", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 82) + 6 = 3x + 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 82, \"c\": 6, \"d\": 3, \"e\": 5}", "seed": "7515350302214648113", "semantic_fingerprint": "sha256:04235edaf04f65bc4edede16949edf4728411de155a535e5f212b1db71413e26", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001411", "prompt": "What is (-24 - (-62)) * (7 / (-30))?", "solution_steps": ["Subtract: -24 - (-62) = 38", "Divide: 7 / (-30) = -7/30", "Multiply: 38 * (-7/30) = -133/15"], "final_answer": "-133/15", "answer_type": "rational", "kind": "expression", "math_text": "(-24 - (-62)) * (7 / (-30))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": -62, \"c\": 7, \"d\": -30}", "seed": "15088001914866387245", "semantic_fingerprint": "sha256:f953625afa9d65d1c729b8ffdfe06ee00bf714f76db4fb6d7cee60e3a8c81f4b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001412", "prompt": "What is (-1 / (-72) - 428) / 84 - (-510) / (-28)?", "solution_steps": ["Divide: -1 / (-72) = 1/72", "Subtract: 1/72 - 428 = -30815/72", "Divide: (-30815/72) / 84 = -30815/6048", "Divide: -510 / (-28) = 255/14", "Subtract: -30815/6048 - 255/14 = -140975/6048"], "final_answer": "-140975/6048", "answer_type": "rational", "kind": "expression", "math_text": "(-1 / (-72) - 428) / 84 - (-510) / (-28)", "variable": null, "family": "expression_5op", "shape": "(- (/ (- (/ n n) n) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -72, \"c\": 428, \"d\": 84, \"e\": -510, \"f\": -28}", "seed": "5118030482916857096", "semantic_fingerprint": "sha256:30a028c3ec1608cffb4a6cfd3ea766e768c0bb4d30894614868f25dc33a1ace0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001413", "prompt": "Evaluate: 24 * (9 * (859 - 43))", "solution_steps": ["Subtract: 859 - 43 = 816", "Multiply: 9 * 816 = 7344", "Multiply: 24 * 7344 = 176256"], "final_answer": "176256", "answer_type": "integer", "kind": "expression", "math_text": "24 * (9 * (859 - 43))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": 9, \"c\": 859, \"d\": 43}", "seed": "6790661295078153490", "semantic_fingerprint": "sha256:ce49b5311799f40084bf42eb6c964fcd934507ea97ce7358cf9a4981591c16bd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001414", "prompt": "Compute: -3 + (-76) - (-77 + (-79))", "solution_steps": ["Add: -3 + (-76) = -79", "Add: -77 + (-79) = -156", "Subtract: -79 - (-156) = 77"], "final_answer": "77", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (-76) - (-77 + (-79))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -76, \"c\": -77, \"d\": -79}", "seed": "15829063108233012113", "semantic_fingerprint": "sha256:3bcd545b48d292fade2f376b63117db0f4255197511aac2283230fbc50b17300", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001415", "prompt": "What is (399 - (-37) / (-8)) / 61?", "solution_steps": ["Divide: -37 / (-8) = 37/8", "Subtract: 399 - 37/8 = 3155/8", "Divide: (3155/8) / 61 = 3155/488"], "final_answer": "3155/488", "answer_type": "rational", "kind": "expression", "math_text": "(399 - (-37) / (-8)) / 61", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 399, \"b\": -37, \"c\": -8, \"d\": 61}", "seed": "10397047079763487392", "semantic_fingerprint": "sha256:fafe29c4fed3cd508ebe9d90ddf8b0e634e4a05e4d1dff24b4158d7521106acc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001416", "prompt": "Compute: -49 - 334 / (-9 * (-6))", "solution_steps": ["Multiply: -9 * (-6) = 54", "Divide: 334 / 54 = 167/27", "Subtract: -49 - 167/27 = -1490/27"], "final_answer": "-1490/27", "answer_type": "rational", "kind": "expression", "math_text": "-49 - 334 / (-9 * (-6))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": 334, \"c\": -9, \"d\": -6}", "seed": "5055128629304129042", "semantic_fingerprint": "sha256:ece1a46ba782e430250f0139f3f718b2a5982d20775205fc8ad60f81c45a387e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001417", "prompt": "Solve the equation -10x - 99 = 6(x + 88) + 35 for x.", "solution_steps": ["Expand: -10x - 99 = 6x + 528 + 35", "Combine constants: -10x - 99 = 6x + 563", "Subtract 6x from both sides: -16x - 99 = 563", "Add 99 to both sides: -16x = 662", "Divide both sides by -16: x = -331/8"], "final_answer": "-331/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10x - 99 = 6(x + 88) + 35", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 99, \"c\": 6, \"d\": 88, \"e\": 35}", "seed": "17897403269602446753", "semantic_fingerprint": "sha256:7199e3ae9ced06257a88a574d128f9119dc295950034ab506d0ddab5364b509f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001418", "prompt": "Solve for x: -10(x - 6) + 57 = -5x + 182", "solution_steps": ["Expand: -10x + 60 + 57 = -5x + 182", "Combine constants: -10x + 117 = -5x + 182", "Add 5x to both sides: -5x + 117 = 182", "Subtract 117 from both sides: -5x = 65", "Divide both sides by -5: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 6) + 57 = -5x + 182", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 6, \"c\": 57, \"d\": -5, \"f\": 182, \"x\": -13}", "seed": "8209458853990593973", "semantic_fingerprint": "sha256:f1b9bb32caa4974788e28c2af7fd359e3e951ad94763492973db419d063161cd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001419", "prompt": "Calculate: (-366 + (-993)) / (-74 + (-5 - (-764)))", "solution_steps": ["Add: -366 + (-993) = -1359", "Subtract: -5 - (-764) = 759", "Add: -74 + 759 = 685", "Divide: -1359 / 685 = -1359/685"], "final_answer": "-1359/685", "answer_type": "rational", "kind": "expression", "math_text": "(-366 + (-993)) / (-74 + (-5 - (-764)))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -366, \"b\": -993, \"c\": -74, \"d\": -5, \"e\": -764}", "seed": "6898294415119114099", "semantic_fingerprint": "sha256:716f145e63fb894c85733415625caefd1e65960bee677cc9f0b24cfc3d0e1dfb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001420", "prompt": "Solve for x: 3(x - 1) + 9 = -3x + 126", "solution_steps": ["Expand: 3x - 3 + 9 = -3x + 126", "Combine constants: 3x + 6 = -3x + 126", "Add 3x to both sides: 6x + 6 = 126", "Subtract 6 from both sides: 6x = 120", "Divide both sides by 6: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 1) + 9 = -3x + 126", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 1, \"c\": 9, \"d\": -3, \"f\": 126, \"x\": 20}", "seed": "4915247334359737131", "semantic_fingerprint": "sha256:7e1a0fce89190efda258f2bde40c5ca101b414f707eea8b355c02549de4b7ade", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001421", "prompt": "Evaluate: -24 * 7 + (-39 / (-1) - (-36))", "solution_steps": ["Multiply: -24 * 7 = -168", "Divide: -39 / (-1) = 39", "Subtract: 39 - (-36) = 75", "Add: -168 + 75 = -93"], "final_answer": "-93", "answer_type": "integer", "kind": "expression", "math_text": "-24 * 7 + (-39 / (-1) - (-36))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": 7, \"c\": -39, \"d\": -1, \"e\": -36}", "seed": "9904380380202332662", "semantic_fingerprint": "sha256:0fb357922b3ebe3895e3d05d89169b5fa23fe68a47b4b7acde789c738a399078", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001422", "prompt": "Compute: -5 * (-51 / (-41)) - 3 / (-53) + 19", "solution_steps": ["Divide: -51 / (-41) = 51/41", "Multiply: -5 * (51/41) = -255/41", "Divide: 3 / (-53) = -3/53", "Subtract: -255/41 - (-3/53) = -13392/2173", "Add: -13392/2173 + 19 = 27895/2173"], "final_answer": "27895/2173", "answer_type": "rational", "kind": "expression", "math_text": "-5 * (-51 / (-41)) - 3 / (-53) + 19", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n (/ n n)) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -51, \"c\": -41, \"d\": 3, \"e\": -53, \"f\": 19}", "seed": "8947994147364092935", "semantic_fingerprint": "sha256:19ff4b0dbe40eaccfa0231a9427308bfb7ad7e386ac346d4df902a1c472af1d1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001423", "prompt": "Calculate: 8 * 98 / (46 * (-2) - 4)", "solution_steps": ["Multiply: 8 * 98 = 784", "Multiply: 46 * (-2) = -92", "Subtract: -92 - 4 = -96", "Divide: 784 / (-96) = -49/6"], "final_answer": "-49/6", "answer_type": "rational", "kind": "expression", "math_text": "8 * 98 / (46 * (-2) - 4)", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (- (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 98, \"c\": 46, \"d\": -2, \"e\": 4}", "seed": "9344526292769783623", "semantic_fingerprint": "sha256:5d2be5fb5f282230f1f73a814e53bc77566622d94c14653a1471bce6fbc713ad", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001424", "prompt": "What value of x satisfies 8x - 387 = 9(x + 75) + 932?", "solution_steps": ["Expand: 8x - 387 = 9x + 675 + 932", "Combine constants: 8x - 387 = 9x + 1607", "Subtract 9x from both sides: -x - 387 = 1607", "Add 387 to both sides: -x = 1994", "Divide both sides by -1: x = -1994"], "final_answer": "-1994", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 387 = 9(x + 75) + 932", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 387, \"c\": 9, \"d\": 75, \"e\": 932}", "seed": "8144316168902870140", "semantic_fingerprint": "sha256:646b37501301f3da8d19406179b4dbb858c2d46744c5e88b50272a250f5f95da", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001425", "prompt": "What value of x satisfies 8(x + 420) + 3 = 6(x + 7) - 10?", "solution_steps": ["Expand: 8x + 3360 + 3 = 6(x + 7) - 10", "Expand: 8x + 3360 + 3 = 6x + 42 - 10", "Combine constants: 8x + 3363 = 6x + 42 - 10", "Combine constants: 8x + 3363 = 6x + 32", "Subtract 6x from both sides: 2x + 3363 = 32", "Subtract 3363 from both sides: 2x = -3331", "Divide both sides by 2: x = -3331/2"], "final_answer": "-3331/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 420) + 3 = 6(x + 7) - 10", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 420, \"c\": 3, \"d\": 6, \"e\": 7, \"f\": 10}", "seed": "13953291940751794239", "semantic_fingerprint": "sha256:4ccaa0b4c6f4c4e139854a63b0dc5c125b7e3feb01a8bb59386abe0cc5d50071", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001426", "prompt": "Find x: x - 183 = 8(x - 2) + 89", "solution_steps": ["Expand: x - 183 = 8x - 16 + 89", "Combine constants: x - 183 = 8x + 73", "Subtract 8x from both sides: -7x - 183 = 73", "Add 183 to both sides: -7x = 256", "Divide both sides by -7: x = -256/7"], "final_answer": "-256/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 183 = 8(x - 2) + 89", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 183, \"b\": 8, \"c\": 2, \"d\": 89}", "seed": "5521362435420717799", "semantic_fingerprint": "sha256:e84fb43a8fd9adf1174a6ae4fe412b2697f965c782a4073e6a0b5fe449fffac8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001427", "prompt": "Find x: 3(x - 24) + 16 = 12(x - 953)", "solution_steps": ["Expand: 3x - 72 + 16 = 12(x - 953)", "Expand: 3x - 72 + 16 = 12x - 11436", "Combine constants: 3x - 56 = 12x - 11436", "Subtract 12x from both sides: -9x - 56 = -11436", "Add 56 to both sides: -9x = -11380", "Divide both sides by -9: x = 11380/9"], "final_answer": "11380/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 24) + 16 = 12(x - 953)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 24, \"c\": 16, \"d\": 12, \"e\": 953}", "seed": "7511499029549615576", "semantic_fingerprint": "sha256:54ba8a00f02157f0ba89e59c616866588741ea162794029067df5048eb9cb1d7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001428", "prompt": "Evaluate: 56 - (-5 + 24) + 76", "solution_steps": ["Add: -5 + 24 = 19", "Subtract: 56 - 19 = 37", "Add: 37 + 76 = 113"], "final_answer": "113", "answer_type": "integer", "kind": "expression", "math_text": "56 - (-5 + 24) + 76", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": -5, \"c\": 24, \"d\": 76}", "seed": "6097330072596304967", "semantic_fingerprint": "sha256:065fc0d0a66fb971429ce7c750c537e6f43917d0c7df3b75ed932a957612e244", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001429", "prompt": "Find x: 4(x - 59) = 7x - 224", "solution_steps": ["Expand: 4x - 236 = 7x - 224", "Subtract 7x from both sides: -3x - 236 = -224", "Add 236 to both sides: -3x = 12", "Divide both sides by -3: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 59) = 7x - 224", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 59, \"c\": 7, \"e\": -224, \"x\": -4}", "seed": "16968780700320790758", "semantic_fingerprint": "sha256:844957eca84ea22c8bc97540c2fff19d18ac340a7a7cd76cfe4bab93d620993d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001430", "prompt": "Solve for x: -7(x + 2) - 54 = x - 172", "solution_steps": ["Expand: -7x - 14 - 54 = x - 172", "Combine constants: -7x - 68 = x - 172", "Subtract x from both sides: -8x - 68 = -172", "Add 68 to both sides: -8x = -104", "Divide both sides by -8: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 2) - 54 = x - 172", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 2, \"c\": 54, \"e\": -172, \"x\": 13}", "seed": "10391607037423395569", "semantic_fingerprint": "sha256:db0f815f5b17bde74945ce031317e13c4089d0d1f28c68dfb42f75e80bf5d3b6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001431", "prompt": "Evaluate: -1 - (-6 + (-219 - (-326)))", "solution_steps": ["Subtract: -219 - (-326) = 107", "Add: -6 + 107 = 101", "Subtract: -1 - 101 = -102"], "final_answer": "-102", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (-6 + (-219 - (-326)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -6, \"c\": -219, \"d\": -326}", "seed": "11573972843741209619", "semantic_fingerprint": "sha256:116bc0539502360f56acd85d03d4c46680b80d0fa6e5c3e77aff26770164621e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001432", "prompt": "Calculate: (392 + 2) / (-4 - (-15) - (-5))", "solution_steps": ["Add: 392 + 2 = 394", "Subtract: -4 - (-15) = 11", "Subtract: 11 - (-5) = 16", "Divide: 394 / 16 = 197/8"], "final_answer": "197/8", "answer_type": "rational", "kind": "expression", "math_text": "(392 + 2) / (-4 - (-15) - (-5))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 392, \"b\": 2, \"c\": -4, \"d\": -15, \"e\": -5}", "seed": "15411844255759270530", "semantic_fingerprint": "sha256:89e786197f89ef0df23c86c77a38da14806841a22d98a85ae29d14444339f44c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001433", "prompt": "Solve the equation -4(x - 55) + 6 = 12(x + 5) - 61 for x.", "solution_steps": ["Expand: -4x + 220 + 6 = 12(x + 5) - 61", "Expand: -4x + 220 + 6 = 12x + 60 - 61", "Combine constants: -4x + 226 = 12x + 60 - 61", "Combine constants: -4x + 226 = 12x - 1", "Subtract 12x from both sides: -16x + 226 = -1", "Subtract 226 from both sides: -16x = -227", "Divide both sides by -16: x = 227/16"], "final_answer": "227/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 55) + 6 = 12(x + 5) - 61", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 55, \"c\": 6, \"d\": 12, \"e\": 5, \"f\": 61}", "seed": "4211011042182914178", "semantic_fingerprint": "sha256:5102ba1abfec7dc55fc993da5393d1aa93b21d340993dddadbbe57a6d8ef9729", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001434", "prompt": "Find x: -7(x - 34) + 74 = 7x + 46", "solution_steps": ["Expand: -7x + 238 + 74 = 7x + 46", "Combine constants: -7x + 312 = 7x + 46", "Subtract 7x from both sides: -14x + 312 = 46", "Subtract 312 from both sides: -14x = -266", "Divide both sides by -14: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 34) + 74 = 7x + 46", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 34, \"c\": 74, \"d\": 7, \"f\": 46, \"x\": 19}", "seed": "3481392902864092181", "semantic_fingerprint": "sha256:28384f2683a8928597bf13a5c1a054e9b488ef8c8b1ade752ba4f3d58c8ab31d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001435", "prompt": "Evaluate: 48 + (-73 / (-7) + (-2)) * 5", "solution_steps": ["Divide: -73 / (-7) = 73/7", "Add: 73/7 + (-2) = 59/7", "Multiply: (59/7) * 5 = 295/7", "Add: 48 + 295/7 = 631/7"], "final_answer": "631/7", "answer_type": "rational", "kind": "expression", "math_text": "48 + (-73 / (-7) + (-2)) * 5", "variable": null, "family": "expression_4op", "shape": "(+ n (* (+ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": -73, \"c\": -7, \"d\": -2, \"e\": 5}", "seed": "5100251196452114385", "semantic_fingerprint": "sha256:77a4e937e0cb4747fd6abbeb6ee6f6e44ebd1b1629dc64a65b63672d489d4c3e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001436", "prompt": "Solve the equation -3x - 9 = -7(x + 56) + 347 for x.", "solution_steps": ["Expand: -3x - 9 = -7x - 392 + 347", "Combine constants: -3x - 9 = -7x - 45", "Add 7x to both sides: 4x - 9 = -45", "Add 9 to both sides: 4x = -36", "Divide both sides by 4: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x - 9 = -7(x + 56) + 347", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 9, \"c\": -7, \"d\": 56, \"f\": 347, \"x\": -9}", "seed": "7358429780003871204", "semantic_fingerprint": "sha256:c43163fcd42d88d8ffab7d7f7a5116f6f330943661fd8b7428372679084149b6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001437", "prompt": "What value of x satisfies 4(x - 30) = 9x - 59?", "solution_steps": ["Expand: 4x - 120 = 9x - 59", "Subtract 9x from both sides: -5x - 120 = -59", "Add 120 to both sides: -5x = 61", "Divide both sides by -5: x = -61/5"], "final_answer": "-61/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 30) = 9x - 59", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 30, \"c\": 9, \"d\": 59}", "seed": "5549789679092304563", "semantic_fingerprint": "sha256:ad52958cb27aa3261d8d7bccfb4cfd963814471e552a299eb58e025335f70091", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001438", "prompt": "What is -38 - (-1 - (15 - (-19)))?", "solution_steps": ["Subtract: 15 - (-19) = 34", "Subtract: -1 - 34 = -35", "Subtract: -38 - (-35) = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "expression", "math_text": "-38 - (-1 - (15 - (-19)))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": -1, \"c\": 15, \"d\": -19}", "seed": "13054302227933270123", "semantic_fingerprint": "sha256:9aafd234ec475675a0f3406c9b6c4f1aa9c7867cd5194a1ac070763bb39faeb1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001439", "prompt": "Compute: (-9 + 793 + 15) / (680 / 1)", "solution_steps": ["Add: -9 + 793 = 784", "Add: 784 + 15 = 799", "Divide: 680 / 1 = 680", "Divide: 799 / 680 = 47/40"], "final_answer": "47/40", "answer_type": "rational", "kind": "expression", "math_text": "(-9 + 793 + 15) / (680 / 1)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 793, \"c\": 15, \"d\": 680, \"e\": 1}", "seed": "14717983224833542979", "semantic_fingerprint": "sha256:e4321759a4d3869818ffdbd4476c72b2aa71c7834c1e8c644bcb9feeb0375ec0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001440", "prompt": "Compute: -26 / (-56) + (7 / (-9) + (-6))", "solution_steps": ["Divide: -26 / (-56) = 13/28", "Divide: 7 / (-9) = -7/9", "Add: -7/9 + (-6) = -61/9", "Add: 13/28 + (-61/9) = -1591/252"], "final_answer": "-1591/252", "answer_type": "rational", "kind": "expression", "math_text": "-26 / (-56) + (7 / (-9) + (-6))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": -56, \"c\": 7, \"d\": -9, \"e\": -6}", "seed": "16371960891014602270", "semantic_fingerprint": "sha256:878a1f336b06f2359864f89bb8e2b8d834e126c0d59f33dc1b6f6f1bdfeb1d50", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001441", "prompt": "Calculate: (-985 + 2 * (-15)) * 8 + (-828)", "solution_steps": ["Multiply: 2 * (-15) = -30", "Add: -985 + (-30) = -1015", "Multiply: -1015 * 8 = -8120", "Add: -8120 + (-828) = -8948"], "final_answer": "-8948", "answer_type": "integer", "kind": "expression", "math_text": "(-985 + 2 * (-15)) * 8 + (-828)", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -985, \"b\": 2, \"c\": -15, \"d\": 8, \"e\": -828}", "seed": "18198138484908118949", "semantic_fingerprint": "sha256:fa60c09e4edf79b58b12a3132ec38f6f6ac86f7ada699fa458ad904fa6d4c6c2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001442", "prompt": "Calculate: 97 + (3 + 856) - (-71)", "solution_steps": ["Add: 3 + 856 = 859", "Add: 97 + 859 = 956", "Subtract: 956 - (-71) = 1027"], "final_answer": "1027", "answer_type": "integer", "kind": "expression", "math_text": "97 + (3 + 856) - (-71)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": 3, \"c\": 856, \"d\": -71}", "seed": "9995706215640538812", "semantic_fingerprint": "sha256:12baa8688ddcd2b8e6d0bd6ac5b3452452d73c8be9a1b3e252c732b8615b8c5b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001443", "prompt": "What is 12 + (-69) - (-503 + (-3))?", "solution_steps": ["Add: 12 + (-69) = -57", "Add: -503 + (-3) = -506", "Subtract: -57 - (-506) = 449"], "final_answer": "449", "answer_type": "integer", "kind": "expression", "math_text": "12 + (-69) - (-503 + (-3))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -69, \"c\": -503, \"d\": -3}", "seed": "4723560546509701374", "semantic_fingerprint": "sha256:45956f6a4cfa3693e09f5070fcf27401a0fe647001bc907dc98022de70602842", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001444", "prompt": "What value of x satisfies -4(x - 95) + 6 = 7(x + 74) - 242?", "solution_steps": ["Expand: -4x + 380 + 6 = 7(x + 74) - 242", "Expand: -4x + 380 + 6 = 7x + 518 - 242", "Combine constants: -4x + 386 = 7x + 518 - 242", "Combine constants: -4x + 386 = 7x + 276", "Subtract 7x from both sides: -11x + 386 = 276", "Subtract 386 from both sides: -11x = -110", "Divide both sides by -11: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 95) + 6 = 7(x + 74) - 242", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 95, \"c\": 6, \"d\": 7, \"e\": 74, \"g\": -242, \"x\": 10}", "seed": "3771613096596707905", "semantic_fingerprint": "sha256:28dd368fffd1408ffb7460959445f1413a3042396bc7f104840cc73a67d8b0cc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001445", "prompt": "Calculate: 91 * (-43) / (-52 * 6 - 49)", "solution_steps": ["Multiply: 91 * (-43) = -3913", "Multiply: -52 * 6 = -312", "Subtract: -312 - 49 = -361", "Divide: -3913 / (-361) = 3913/361"], "final_answer": "3913/361", "answer_type": "rational", "kind": "expression", "math_text": "91 * (-43) / (-52 * 6 - 49)", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (- (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -43, \"c\": -52, \"d\": 6, \"e\": 49}", "seed": "6088851686708077988", "semantic_fingerprint": "sha256:7cd2beb5bae5259677b4de9e2fb196d8a2174fe9a26290fc37f31644cb42fd31", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001446", "prompt": "Solve the equation x - 94 = -9(x - 731) + 6 for x.", "solution_steps": ["Expand: x - 94 = -9x + 6579 + 6", "Combine constants: x - 94 = -9x + 6585", "Add 9x to both sides: 10x - 94 = 6585", "Add 94 to both sides: 10x = 6679", "Divide both sides by 10: x = 6679/10"], "final_answer": "6679/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 94 = -9(x - 731) + 6", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": -9, \"c\": 731, \"d\": 6}", "seed": "13515113858272670412", "semantic_fingerprint": "sha256:4b6347fab9a76494ec1647d833784878cda7fa713af2fca7640489eb59d328af", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001447", "prompt": "Compute: -10 + (14 * 652 - (-27))", "solution_steps": ["Multiply: 14 * 652 = 9128", "Subtract: 9128 - (-27) = 9155", "Add: -10 + 9155 = 9145"], "final_answer": "9145", "answer_type": "integer", "kind": "expression", "math_text": "-10 + (14 * 652 - (-27))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 14, \"c\": 652, \"d\": -27}", "seed": "1316905682669420730", "semantic_fingerprint": "sha256:19a696219ba0347875ce4fa8afeabb2abf3d161bcfa25e9e30ab1824b5c62fef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001448", "prompt": "Compute: (-3 - 436) * (276 / 67)", "solution_steps": ["Subtract: -3 - 436 = -439", "Divide: 276 / 67 = 276/67", "Multiply: -439 * (276/67) = -121164/67"], "final_answer": "-121164/67", "answer_type": "rational", "kind": "expression", "math_text": "(-3 - 436) * (276 / 67)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 436, \"c\": 276, \"d\": 67}", "seed": "10678015910395753669", "semantic_fingerprint": "sha256:fd41bd003b2d377ebd9214e149994e5433b040334b9d6e55b2e76028eb2be854", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001449", "prompt": "Find x: 5(x - 6) = 9x - 881", "solution_steps": ["Expand: 5x - 30 = 9x - 881", "Subtract 9x from both sides: -4x - 30 = -881", "Add 30 to both sides: -4x = -851", "Divide both sides by -4: x = 851/4"], "final_answer": "851/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 6) = 9x - 881", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": 9, \"d\": 881}", "seed": "12644915813954081101", "semantic_fingerprint": "sha256:3628b611c27b1c9d3de56059117a438855e6069f8aaf37c808a6305fae7c4064", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001450", "prompt": "Calculate: (71 - 7) * (-828 / 115)", "solution_steps": ["Subtract: 71 - 7 = 64", "Divide: -828 / 115 = -36/5", "Multiply: 64 * (-36/5) = -2304/5"], "final_answer": "-2304/5", "answer_type": "rational", "kind": "expression", "math_text": "(71 - 7) * (-828 / 115)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 7, \"c\": -828, \"d\": 115}", "seed": "10758725339870671727", "semantic_fingerprint": "sha256:fc0fa105b075f723fa88957aada640fdde93fb34243d0598dc4baef6e91f85dc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001451", "prompt": "What is 572 * (-9) / (-196) - (3 + (-622))?", "solution_steps": ["Multiply: 572 * (-9) = -5148", "Divide: -5148 / (-196) = 1287/49", "Add: 3 + (-622) = -619", "Subtract: 1287/49 - (-619) = 31618/49"], "final_answer": "31618/49", "answer_type": "rational", "kind": "expression", "math_text": "572 * (-9) / (-196) - (3 + (-622))", "variable": null, "family": "expression_4op", "shape": "(- (/ (* n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 572, \"b\": -9, \"c\": -196, \"d\": 3, \"e\": -622}", "seed": "17334773841581299703", "semantic_fingerprint": "sha256:a84d88aedee7785f782000bf16cbcc5dc77a75d90ddbb7e5f04dada5de20c8e6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001452", "prompt": "What is -57 / (-8 - (-21) - 89)?", "solution_steps": ["Subtract: -8 - (-21) = 13", "Subtract: 13 - 89 = -76", "Divide: -57 / (-76) = 3/4"], "final_answer": "3/4", "answer_type": "rational", "kind": "expression", "math_text": "-57 / (-8 - (-21) - 89)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": -8, \"c\": -21, \"d\": 89}", "seed": "1374598498743298876", "semantic_fingerprint": "sha256:f02339c5e58dabdfc320116731977dc3ade044065d8a6094f5ad28401d7f975f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001453", "prompt": "Compute: 70 + (-6) - (6 + (-81))", "solution_steps": ["Add: 70 + (-6) = 64", "Add: 6 + (-81) = -75", "Subtract: 64 - (-75) = 139"], "final_answer": "139", "answer_type": "integer", "kind": "expression", "math_text": "70 + (-6) - (6 + (-81))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -6, \"c\": 6, \"d\": -81}", "seed": "8725559191990180887", "semantic_fingerprint": "sha256:ef31ab2f9052eb5bf9c2ab36c79284c25512ed5f032b3aa758831f2cabd82bf4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001454", "prompt": "Solve for x: 3x - 1 = -3(x + 73) + 81", "solution_steps": ["Expand: 3x - 1 = -3x - 219 + 81", "Combine constants: 3x - 1 = -3x - 138", "Add 3x to both sides: 6x - 1 = -138", "Add 1 to both sides: 6x = -137", "Divide both sides by 6: x = -137/6"], "final_answer": "-137/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x - 1 = -3(x + 73) + 81", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 1, \"c\": -3, \"d\": 73, \"e\": 81}", "seed": "12878070892503347407", "semantic_fingerprint": "sha256:4bf45d04638ed8198682a5edbd070552038c5e1828a9589692a52a0a558b4208", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001455", "prompt": "Solve for x: 3(x - 41) - 9 = -11(x - 9) - 13", "solution_steps": ["Expand: 3x - 123 - 9 = -11(x - 9) - 13", "Expand: 3x - 123 - 9 = -11x + 99 - 13", "Combine constants: 3x - 132 = -11x + 99 - 13", "Combine constants: 3x - 132 = -11x + 86", "Add 11x to both sides: 14x - 132 = 86", "Add 132 to both sides: 14x = 218", "Divide both sides by 14: x = 109/7"], "final_answer": "109/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 41) - 9 = -11(x - 9) - 13", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 41, \"c\": 9, \"d\": -11, \"e\": 9, \"f\": 13}", "seed": "16037112072389583601", "semantic_fingerprint": "sha256:5ef7432368a5639d4069be33d7322298db57948ca36d0e4efb858579b4a09120", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001456", "prompt": "What is -59 * 8 / (822 + 54)?", "solution_steps": ["Multiply: -59 * 8 = -472", "Add: 822 + 54 = 876", "Divide: -472 / 876 = -118/219"], "final_answer": "-118/219", "answer_type": "rational", "kind": "expression", "math_text": "-59 * 8 / (822 + 54)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": 8, \"c\": 822, \"d\": 54}", "seed": "7940801876280045796", "semantic_fingerprint": "sha256:55f5ca875259b75da769ee8556807eed152fa0d78bd5e5c3e23e84338a97afae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001457", "prompt": "What value of x satisfies -3(x + 8) + 87 = 10(x + 6) - 192?", "solution_steps": ["Expand: -3x - 24 + 87 = 10(x + 6) - 192", "Expand: -3x - 24 + 87 = 10x + 60 - 192", "Combine constants: -3x + 63 = 10x + 60 - 192", "Combine constants: -3x + 63 = 10x - 132", "Subtract 10x from both sides: -13x + 63 = -132", "Subtract 63 from both sides: -13x = -195", "Divide both sides by -13: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 8) + 87 = 10(x + 6) - 192", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 8, \"c\": 87, \"d\": 10, \"e\": 6, \"g\": -192, \"x\": 15}", "seed": "14811038145801227655", "semantic_fingerprint": "sha256:765398fec55be3861cbd2277bc69c2cb678cb473bd1c563669847bee3b8acc1e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001458", "prompt": "Evaluate: -1 - (-4) / 50 + (-9) / (-5 - (-12))", "solution_steps": ["Divide: -4 / 50 = -2/25", "Subtract: -1 - (-2/25) = -23/25", "Subtract: -5 - (-12) = 7", "Divide: -9 / 7 = -9/7", "Add: -23/25 + (-9/7) = -386/175"], "final_answer": "-386/175", "answer_type": "rational", "kind": "expression", "math_text": "-1 - (-4) / 50 + (-9) / (-5 - (-12))", "variable": null, "family": "expression_5op", "shape": "(+ (- n (/ n n)) (/ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -4, \"c\": 50, \"d\": -9, \"e\": -5, \"f\": -12}", "seed": "13141217262346398930", "semantic_fingerprint": "sha256:2fea2ad803b6beefc7b3a7500d9cbd7d3fc6cfcea3ae770fef998a9216e657f6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001459", "prompt": "Compute: -7 - (83 * (-396) + (-319))", "solution_steps": ["Multiply: 83 * (-396) = -32868", "Add: -32868 + (-319) = -33187", "Subtract: -7 - (-33187) = 33180"], "final_answer": "33180", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (83 * (-396) + (-319))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 83, \"c\": -396, \"d\": -319}", "seed": "4452751029133598558", "semantic_fingerprint": "sha256:bfb6509476d4b729b75a1d957ae482f338490455bac629533300d1cf76dcb005", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001460", "prompt": "Compute: (492 + 760) / (562 / (-77))", "solution_steps": ["Add: 492 + 760 = 1252", "Divide: 562 / (-77) = -562/77", "Divide: 1252 / (-562/77) = -48202/281"], "final_answer": "-48202/281", "answer_type": "rational", "kind": "expression", "math_text": "(492 + 760) / (562 / (-77))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 492, \"b\": 760, \"c\": 562, \"d\": -77}", "seed": "3324785878744867522", "semantic_fingerprint": "sha256:1413fa2554779095d33c0c1a0b87d01e5276ccd64cfac6ed7aa01e6b8551e4b9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001461", "prompt": "Calculate: 608 + (-15) - (27 - (-1) - (-464 + 8))", "solution_steps": ["Add: 608 + (-15) = 593", "Subtract: 27 - (-1) = 28", "Add: -464 + 8 = -456", "Subtract: 28 - (-456) = 484", "Subtract: 593 - 484 = 109"], "final_answer": "109", "answer_type": "integer", "kind": "expression", "math_text": "608 + (-15) - (27 - (-1) - (-464 + 8))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (- (- n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 608, \"b\": -15, \"c\": 27, \"d\": -1, \"e\": -464, \"f\": 8}", "seed": "12479243841407463915", "semantic_fingerprint": "sha256:8842dd4419abc956d2945c0dce8944c6582681551fa5c072a396eb8b4931bf33", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001462", "prompt": "Evaluate: 27 / (-447) - 17 + (7 + 21)", "solution_steps": ["Divide: 27 / (-447) = -9/149", "Subtract: -9/149 - 17 = -2542/149", "Add: 7 + 21 = 28", "Add: -2542/149 + 28 = 1630/149"], "final_answer": "1630/149", "answer_type": "rational", "kind": "expression", "math_text": "27 / (-447) - 17 + (7 + 21)", "variable": null, "family": "expression_4op", "shape": "(+ (- (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": -447, \"c\": 17, \"d\": 7, \"e\": 21}", "seed": "16404844839069251949", "semantic_fingerprint": "sha256:b295d8c1a2614815310e53af11d30d38f7fdaafaba6ef8f7bed5339199f07f6a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001463", "prompt": "Calculate: 36 / (-5) / ((9 - (-1)) * 519)", "solution_steps": ["Divide: 36 / (-5) = -36/5", "Subtract: 9 - (-1) = 10", "Multiply: 10 * 519 = 5190", "Divide: (-36/5) / 5190 = -6/4325"], "final_answer": "-6/4325", "answer_type": "rational", "kind": "expression", "math_text": "36 / (-5) / ((9 - (-1)) * 519)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": -5, \"c\": 9, \"d\": -1, \"e\": 519}", "seed": "9637092493686951596", "semantic_fingerprint": "sha256:3e54faca27d17f3caab2936bf755cb0a4f93364309bf13762c52b0380718fba3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001464", "prompt": "Evaluate: 5 - (8 * 1 + 9) - (-37) * (-568)", "solution_steps": ["Multiply: 8 * 1 = 8", "Add: 8 + 9 = 17", "Subtract: 5 - 17 = -12", "Multiply: -37 * (-568) = 21016", "Subtract: -12 - 21016 = -21028"], "final_answer": "-21028", "answer_type": "integer", "kind": "expression", "math_text": "5 - (8 * 1 + 9) - (-37) * (-568)", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ (* n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 1, \"d\": 9, \"e\": -37, \"f\": -568}", "seed": "8608698035962275105", "semantic_fingerprint": "sha256:426ae722e63a837815aa39d4f9f96bf2411335e1ef8dad25541a97a1d7da0b1e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001465", "prompt": "Find x: x - 55 = 4(x - 24) + 80", "solution_steps": ["Expand: x - 55 = 4x - 96 + 80", "Combine constants: x - 55 = 4x - 16", "Subtract 4x from both sides: -3x - 55 = -16", "Add 55 to both sides: -3x = 39", "Divide both sides by -3: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 55 = 4(x - 24) + 80", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 4, \"c\": 24, \"e\": 80, \"x\": -13}", "seed": "8174246918088267448", "semantic_fingerprint": "sha256:da18b160705fa62d58a5746d089ce6caf037e1dcee044c9c70ca9e6facaf635f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001466", "prompt": "Solve for x: 4(x - 96) + 5 = 9(x + 11) - 13", "solution_steps": ["Expand: 4x - 384 + 5 = 9(x + 11) - 13", "Expand: 4x - 384 + 5 = 9x + 99 - 13", "Combine constants: 4x - 379 = 9x + 99 - 13", "Combine constants: 4x - 379 = 9x + 86", "Subtract 9x from both sides: -5x - 379 = 86", "Add 379 to both sides: -5x = 465", "Divide both sides by -5: x = -93"], "final_answer": "-93", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 96) + 5 = 9(x + 11) - 13", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 96, \"c\": 5, \"d\": 9, \"e\": 11, \"f\": 13}", "seed": "4418730956761228823", "semantic_fingerprint": "sha256:8f7da8e7fb5616f3c67b5ab3688090ddc203ef9ed9381579564dc8f8b87bfd66", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001467", "prompt": "What is -3 / (-37 - 689 - 929)?", "solution_steps": ["Subtract: -37 - 689 = -726", "Subtract: -726 - 929 = -1655", "Divide: -3 / (-1655) = 3/1655"], "final_answer": "3/1655", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-37 - 689 - 929)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -37, \"c\": 689, \"d\": 929}", "seed": "17681760183551582603", "semantic_fingerprint": "sha256:23929b3fd393cea9b740fc58f389dc4022e88cd401a0a9a560edb0f34d922f78", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001468", "prompt": "What is -908 - (0 - (-2 - (-325)))?", "solution_steps": ["Subtract: -2 - (-325) = 323", "Subtract: 0 - 323 = -323", "Subtract: -908 - (-323) = -585"], "final_answer": "-585", "answer_type": "integer", "kind": "expression", "math_text": "-908 - (0 - (-2 - (-325)))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -908, \"b\": 0, \"c\": -2, \"d\": -325}", "seed": "9630958579551524172", "semantic_fingerprint": "sha256:5a0b104a376eb5dbdeb013c489f836ec627ae45ee82c9cfcab6afae8fffda3de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001469", "prompt": "Find x: x - 51 = -3(x - 733) + 6", "solution_steps": ["Expand: x - 51 = -3x + 2199 + 6", "Combine constants: x - 51 = -3x + 2205", "Add 3x to both sides: 4x - 51 = 2205", "Add 51 to both sides: 4x = 2256", "Divide both sides by 4: x = 564"], "final_answer": "564", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 51 = -3(x - 733) + 6", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -3, \"c\": 733, \"d\": 6}", "seed": "5954813715445306488", "semantic_fingerprint": "sha256:83075dea519ef35ac55c04e4c3496fcbb03fe2ed6e6dd00efd8496b74a439e18", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001470", "prompt": "Evaluate: 0 / 4 + 453 / 4", "solution_steps": ["Divide: 0 / 4 = 0", "Divide: 453 / 4 = 453/4", "Add: 0 + 453/4 = 453/4"], "final_answer": "453/4", "answer_type": "rational", "kind": "expression", "math_text": "0 / 4 + 453 / 4", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 4, \"c\": 453, \"d\": 4}", "seed": "7695320494215556504", "semantic_fingerprint": "sha256:8b1e8ec725883bae666c5b7808e21c9d53801729cf463a5264bb43accc570aa6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001471", "prompt": "Calculate: -2 + (-6 + (-7 - (-93 * 8 + 98)))", "solution_steps": ["Multiply: -93 * 8 = -744", "Add: -744 + 98 = -646", "Subtract: -7 - (-646) = 639", "Add: -6 + 639 = 633", "Add: -2 + 633 = 631"], "final_answer": "631", "answer_type": "integer", "kind": "expression", "math_text": "-2 + (-6 + (-7 - (-93 * 8 + 98)))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ n (- n (+ (* n n) n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -6, \"c\": -7, \"d\": -93, \"e\": 8, \"f\": 98}", "seed": "7246414253109951394", "semantic_fingerprint": "sha256:7bc1ec3d4176b78fa70a6b7486801ab91d0355b95a947520fd43e144b30fb650", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001472", "prompt": "Calculate: 33 / (-52) - (-4 * 5 + (-3))", "solution_steps": ["Divide: 33 / (-52) = -33/52", "Multiply: -4 * 5 = -20", "Add: -20 + (-3) = -23", "Subtract: -33/52 - (-23) = 1163/52"], "final_answer": "1163/52", "answer_type": "rational", "kind": "expression", "math_text": "33 / (-52) - (-4 * 5 + (-3))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": -52, \"c\": -4, \"d\": 5, \"e\": -3}", "seed": "14304214745447691925", "semantic_fingerprint": "sha256:7bc4560e7328c2981375f959f809efcdc3aef15dea4a012d2b940011d1201bd6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001473", "prompt": "Solve the equation 8(x - 74) + 332 = 6(x + 79) - 740 for x.", "solution_steps": ["Expand: 8x - 592 + 332 = 6(x + 79) - 740", "Expand: 8x - 592 + 332 = 6x + 474 - 740", "Combine constants: 8x - 260 = 6x + 474 - 740", "Combine constants: 8x - 260 = 6x - 266", "Subtract 6x from both sides: 2x - 260 = -266", "Add 260 to both sides: 2x = -6", "Divide both sides by 2: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 74) + 332 = 6(x + 79) - 740", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 74, \"c\": 332, \"d\": 6, \"e\": 79, \"g\": -740, \"x\": -3}", "seed": "13970513577358888361", "semantic_fingerprint": "sha256:a3e943bf9db4514164bf6ee18243d5389834f751f7a40607459341b4b4261d7d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001474", "prompt": "Evaluate: 2 - (-277) - 7 * (8 * 87)", "solution_steps": ["Subtract: 2 - (-277) = 279", "Multiply: 8 * 87 = 696", "Multiply: 7 * 696 = 4872", "Subtract: 279 - 4872 = -4593"], "final_answer": "-4593", "answer_type": "integer", "kind": "expression", "math_text": "2 - (-277) - 7 * (8 * 87)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -277, \"c\": 7, \"d\": 8, \"e\": 87}", "seed": "10446028045138257504", "semantic_fingerprint": "sha256:f0d98d374ff4843012ed1f16fb4deee213be73263f5ec8f45d003ca5966ebdda", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001475", "prompt": "What value of x satisfies -10(x - 5) - 9 = 3(x - 44) - 164?", "solution_steps": ["Expand: -10x + 50 - 9 = 3(x - 44) - 164", "Expand: -10x + 50 - 9 = 3x - 132 - 164", "Combine constants: -10x + 41 = 3x - 132 - 164", "Combine constants: -10x + 41 = 3x - 296", "Subtract 3x from both sides: -13x + 41 = -296", "Subtract 41 from both sides: -13x = -337", "Divide both sides by -13: x = 337/13"], "final_answer": "337/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 5) - 9 = 3(x - 44) - 164", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 5, \"c\": 9, \"d\": 3, \"e\": 44, \"f\": 164}", "seed": "1615927764050943027", "semantic_fingerprint": "sha256:da9ce5de10b4262ac6d745d4a58ac2806a5efe74b12f5396a5209c82979dfa12", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001476", "prompt": "What is 667 - (-449 - (-111)) + (-554 + 25)?", "solution_steps": ["Subtract: -449 - (-111) = -338", "Subtract: 667 - (-338) = 1005", "Add: -554 + 25 = -529", "Add: 1005 + (-529) = 476"], "final_answer": "476", "answer_type": "integer", "kind": "expression", "math_text": "667 - (-449 - (-111)) + (-554 + 25)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 667, \"b\": -449, \"c\": -111, \"d\": -554, \"e\": 25}", "seed": "7489882142612543050", "semantic_fingerprint": "sha256:3b5a9884222d1f0608f867759ac1ba55049e3103bd2e58fe20a4dfb917294822", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001477", "prompt": "Calculate: 47 - (-228) * (-7) - 1", "solution_steps": ["Multiply: -228 * (-7) = 1596", "Subtract: 47 - 1596 = -1549", "Subtract: -1549 - 1 = -1550"], "final_answer": "-1550", "answer_type": "integer", "kind": "expression", "math_text": "47 - (-228) * (-7) - 1", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": -228, \"c\": -7, \"d\": 1}", "seed": "12400831831355643045", "semantic_fingerprint": "sha256:aceca2d0ed52618cc0301b49040505296b3426b6d2471feec1169d8c4e227dba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001478", "prompt": "What is -57 + (79 * (-67) - 6)?", "solution_steps": ["Multiply: 79 * (-67) = -5293", "Subtract: -5293 - 6 = -5299", "Add: -57 + (-5299) = -5356"], "final_answer": "-5356", "answer_type": "integer", "kind": "expression", "math_text": "-57 + (79 * (-67) - 6)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": 79, \"c\": -67, \"d\": 6}", "seed": "12676755776751186991", "semantic_fingerprint": "sha256:d57460033ce757ff72185c840b8be5f4d797b9507506286bacfb25516c07ee85", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001479", "prompt": "What is -236 * 922 / (-8 + (-75))?", "solution_steps": ["Multiply: -236 * 922 = -217592", "Add: -8 + (-75) = -83", "Divide: -217592 / (-83) = 217592/83"], "final_answer": "217592/83", "answer_type": "rational", "kind": "expression", "math_text": "-236 * 922 / (-8 + (-75))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -236, \"b\": 922, \"c\": -8, \"d\": -75}", "seed": "3017095694258681746", "semantic_fingerprint": "sha256:1fff9134cb2819e837290859e623e54f95c96d8eb230a287eefa7fa7978016ac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001480", "prompt": "Compute: -381 / (-9) - 469 - (-5)", "solution_steps": ["Divide: -381 / (-9) = 127/3", "Subtract: 127/3 - 469 = -1280/3", "Subtract: -1280/3 - (-5) = -1265/3"], "final_answer": "-1265/3", "answer_type": "rational", "kind": "expression", "math_text": "-381 / (-9) - 469 - (-5)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -381, \"b\": -9, \"c\": 469, \"d\": -5}", "seed": "4504052342377524294", "semantic_fingerprint": "sha256:d9a4886a517119470fc2bc0b399a7c48b51c0ce320e45f6d49f2510ad0403671", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001481", "prompt": "Calculate: 50 / (-163 - 7 - (-7))", "solution_steps": ["Subtract: -163 - 7 = -170", "Subtract: -170 - (-7) = -163", "Divide: 50 / (-163) = -50/163"], "final_answer": "-50/163", "answer_type": "rational", "kind": "expression", "math_text": "50 / (-163 - 7 - (-7))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -163, \"c\": 7, \"d\": -7}", "seed": "1326664588375078809", "semantic_fingerprint": "sha256:96d2a3cd1af466d46ef271bd94fc2ffcfb31a83b3499253ee1c85ee3a1a87efa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001482", "prompt": "Solve the equation -9(x - 7) - 4 = -7(x - 40) - 195 for x.", "solution_steps": ["Expand: -9x + 63 - 4 = -7(x - 40) - 195", "Expand: -9x + 63 - 4 = -7x + 280 - 195", "Combine constants: -9x + 59 = -7x + 280 - 195", "Combine constants: -9x + 59 = -7x + 85", "Add 7x to both sides: -2x + 59 = 85", "Subtract 59 from both sides: -2x = 26", "Divide both sides by -2: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 7) - 4 = -7(x - 40) - 195", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 7, \"c\": 4, \"d\": -7, \"e\": 40, \"g\": -195, \"x\": -13}", "seed": "6343982005509328173", "semantic_fingerprint": "sha256:ae883a0b2b7cda4f91490c987fc893e1740c0cc995b028e7f67345594591a19b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001483", "prompt": "What is -2 - (44 + (88 - (-642)))?", "solution_steps": ["Subtract: 88 - (-642) = 730", "Add: 44 + 730 = 774", "Subtract: -2 - 774 = -776"], "final_answer": "-776", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (44 + (88 - (-642)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 44, \"c\": 88, \"d\": -642}", "seed": "5956487008184736676", "semantic_fingerprint": "sha256:ac1de60e3935585e156c89ee3535dd1c0c90971d6e61490c0a7481b5db442525", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001484", "prompt": "Solve the equation 3(x + 59) - 551 = x - 338 for x.", "solution_steps": ["Expand: 3x + 177 - 551 = x - 338", "Combine constants: 3x - 374 = x - 338", "Subtract x from both sides: 2x - 374 = -338", "Add 374 to both sides: 2x = 36", "Divide both sides by 2: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 59) - 551 = x - 338", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 59, \"c\": 551, \"e\": -338, \"x\": 18}", "seed": "17157693100756222430", "semantic_fingerprint": "sha256:bbc26491c6ab9a963bc69adf2066df5cb4b449b0c31f3501c60bdc214a61ded3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001485", "prompt": "Solve for x: 8(x + 2) + 372 = 7(x + 69) - 91", "solution_steps": ["Expand: 8x + 16 + 372 = 7(x + 69) - 91", "Expand: 8x + 16 + 372 = 7x + 483 - 91", "Combine constants: 8x + 388 = 7x + 483 - 91", "Combine constants: 8x + 388 = 7x + 392", "Subtract 7x from both sides: x + 388 = 392", "Subtract 388 from both sides: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 2) + 372 = 7(x + 69) - 91", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 372, \"d\": 7, \"e\": 69, \"g\": -91, \"x\": 4}", "seed": "17505819581461901512", "semantic_fingerprint": "sha256:ac93ee32a3141a7a27f7d25239dc9dd6056cc4fd2cbf96c8c663ee0fa7e59a70", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001486", "prompt": "Find x: 4(x - 19) + 34 = 2(x - 32)", "solution_steps": ["Expand: 4x - 76 + 34 = 2(x - 32)", "Expand: 4x - 76 + 34 = 2x - 64", "Combine constants: 4x - 42 = 2x - 64", "Subtract 2x from both sides: 2x - 42 = -64", "Add 42 to both sides: 2x = -22", "Divide both sides by 2: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 19) + 34 = 2(x - 32)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 19, \"c\": 2, \"d\": 32, \"f\": 34, \"x\": -11}", "seed": "7804829163473632665", "semantic_fingerprint": "sha256:ead90ec5b3616c21d334cac9dabbb5b52461cfd479bb6049cf14b35a8902b790", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001487", "prompt": "What is (7 + (51 + (24 - 76))) * 803?", "solution_steps": ["Subtract: 24 - 76 = -52", "Add: 51 + (-52) = -1", "Add: 7 + (-1) = 6", "Multiply: 6 * 803 = 4818"], "final_answer": "4818", "answer_type": "integer", "kind": "expression", "math_text": "(7 + (51 + (24 - 76))) * 803", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 51, \"c\": 24, \"d\": 76, \"e\": 803}", "seed": "17535731304730423235", "semantic_fingerprint": "sha256:7641fd4516f7a63d97fd1cb703c05cb6af4d05849ab9dc8776676d6128094e07", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001488", "prompt": "Calculate: -1 * (497 + 257 - (112 - (-5)) / 536)", "solution_steps": ["Add: 497 + 257 = 754", "Subtract: 112 - (-5) = 117", "Divide: 117 / 536 = 117/536", "Subtract: 754 - 117/536 = 404027/536", "Multiply: -1 * (404027/536) = -404027/536"], "final_answer": "-404027/536", "answer_type": "rational", "kind": "expression", "math_text": "-1 * (497 + 257 - (112 - (-5)) / 536)", "variable": null, "family": "expression_5op", "shape": "(* n (- (+ n n) (/ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 497, \"c\": 257, \"d\": 112, \"e\": -5, \"f\": 536}", "seed": "3389905626975726955", "semantic_fingerprint": "sha256:24764e414c867c952ebaedb066ecbd56969f459874d4de3ef35a63b9be23ac09", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001489", "prompt": "Evaluate: -23 + (7 + (-6)) - 89", "solution_steps": ["Add: 7 + (-6) = 1", "Add: -23 + 1 = -22", "Subtract: -22 - 89 = -111"], "final_answer": "-111", "answer_type": "integer", "kind": "expression", "math_text": "-23 + (7 + (-6)) - 89", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": 7, \"c\": -6, \"d\": 89}", "seed": "12809389346231016123", "semantic_fingerprint": "sha256:e76cd24f4e51c11ed877dfe0e83713df1f7814422dfc648aaa22bd43e9d96524", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001490", "prompt": "Compute: -1 * 25 + 68 * 77 / (-6 + 701)", "solution_steps": ["Multiply: -1 * 25 = -25", "Multiply: 68 * 77 = 5236", "Add: -6 + 701 = 695", "Divide: 5236 / 695 = 5236/695", "Add: -25 + 5236/695 = -12139/695"], "final_answer": "-12139/695", "answer_type": "rational", "kind": "expression", "math_text": "-1 * 25 + 68 * 77 / (-6 + 701)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (/ (* n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 25, \"c\": 68, \"d\": 77, \"e\": -6, \"f\": 701}", "seed": "1060995446007160307", "semantic_fingerprint": "sha256:6f26723336780b244dd3886654d3845c1d75521da7951ee367b05af4120c7981", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001491", "prompt": "Calculate: -93 / (-2 * (-68 * 49) - 86 * 38)", "solution_steps": ["Multiply: -68 * 49 = -3332", "Multiply: -2 * (-3332) = 6664", "Multiply: 86 * 38 = 3268", "Subtract: 6664 - 3268 = 3396", "Divide: -93 / 3396 = -31/1132"], "final_answer": "-31/1132", "answer_type": "rational", "kind": "expression", "math_text": "-93 / (-2 * (-68 * 49) - 86 * 38)", "variable": null, "family": "expression_5op", "shape": "(/ n (- (* n (* n n)) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": -2, \"c\": -68, \"d\": 49, \"e\": 86, \"f\": 38}", "seed": "3624301693752529364", "semantic_fingerprint": "sha256:7b31c047dad4ef8ce6ba3a8a18219f8a56c5b1256059f8ed001b8ce4445b6e2c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001492", "prompt": "Calculate: (8 * 2 + (-84) * 7) * (76 - 0)", "solution_steps": ["Multiply: 8 * 2 = 16", "Multiply: -84 * 7 = -588", "Add: 16 + (-588) = -572", "Subtract: 76 - 0 = 76", "Multiply: -572 * 76 = -43472"], "final_answer": "-43472", "answer_type": "integer", "kind": "expression", "math_text": "(8 * 2 + (-84) * 7) * (76 - 0)", "variable": null, "family": "expression_5op", "shape": "(* (+ (* n n) (* n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": -84, \"d\": 7, \"e\": 76, \"f\": 0}", "seed": "15422388387302144248", "semantic_fingerprint": "sha256:db4900b1cae7063592660ffff17b3e948cdb6d022dcef37abe0c6ca8758ed708", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001493", "prompt": "What value of x satisfies -4(x - 5) + 85 = -2x + 105?", "solution_steps": ["Expand: -4x + 20 + 85 = -2x + 105", "Combine constants: -4x + 105 = -2x + 105", "Add 2x to both sides: -2x + 105 = 105", "Subtract 105 from both sides: -2x = 0", "Divide both sides by -2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 5) + 85 = -2x + 105", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 5, \"c\": 85, \"d\": -2, \"f\": 105, \"x\": 0}", "seed": "13050870798207328115", "semantic_fingerprint": "sha256:de8add14fbd775bf5ee17eb02901b095a2967397f021510b3e96ff9174923066", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001494", "prompt": "What is -18 - (-9 * (-38) + 9)?", "solution_steps": ["Multiply: -9 * (-38) = 342", "Add: 342 + 9 = 351", "Subtract: -18 - 351 = -369"], "final_answer": "-369", "answer_type": "integer", "kind": "expression", "math_text": "-18 - (-9 * (-38) + 9)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": -9, \"c\": -38, \"d\": 9}", "seed": "13115243008038009549", "semantic_fingerprint": "sha256:0f21db0c179e5888fed808d90fac747bbb19f10eb3ad5ca97b27d70ec28c9653", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001495", "prompt": "What is -2 * 2 * 9 * (158 / (-30) - (-2))?", "solution_steps": ["Multiply: -2 * 2 = -4", "Multiply: -4 * 9 = -36", "Divide: 158 / (-30) = -79/15", "Subtract: -79/15 - (-2) = -49/15", "Multiply: -36 * (-49/15) = 588/5"], "final_answer": "588/5", "answer_type": "rational", "kind": "expression", "math_text": "-2 * 2 * 9 * (158 / (-30) - (-2))", "variable": null, "family": "expression_5op", "shape": "(* (* (* n n) n) (- (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 2, \"c\": 9, \"d\": 158, \"e\": -30, \"f\": -2}", "seed": "9463412149707289708", "semantic_fingerprint": "sha256:729f900e62061bd60560aad02c37d0a27e00b4628ff67928c12f52bbdd110d41", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001496", "prompt": "Compute: 368 / 22 + (-22 - 2 - (-926))", "solution_steps": ["Divide: 368 / 22 = 184/11", "Subtract: -22 - 2 = -24", "Subtract: -24 - (-926) = 902", "Add: 184/11 + 902 = 10106/11"], "final_answer": "10106/11", "answer_type": "rational", "kind": "expression", "math_text": "368 / 22 + (-22 - 2 - (-926))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 368, \"b\": 22, \"c\": -22, \"d\": 2, \"e\": -926}", "seed": "7154483323376435268", "semantic_fingerprint": "sha256:1888f883795a2094d649b7cd18163174105aadcf81de86b11cdbb34724f50f84", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001497", "prompt": "What is -680 * (1 * (-6) + (6 - (-1)) + (-6))?", "solution_steps": ["Multiply: 1 * (-6) = -6", "Subtract: 6 - (-1) = 7", "Add: -6 + 7 = 1", "Add: 1 + (-6) = -5", "Multiply: -680 * (-5) = 3400"], "final_answer": "3400", "answer_type": "integer", "kind": "expression", "math_text": "-680 * (1 * (-6) + (6 - (-1)) + (-6))", "variable": null, "family": "expression_5op", "shape": "(* n (+ (+ (* n n) (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -680, \"b\": 1, \"c\": -6, \"d\": 6, \"e\": -1, \"f\": -6}", "seed": "8176615892774760257", "semantic_fingerprint": "sha256:add37ff49d4532d15f64d66896705d1cfd1d78ef606b645f78f065a8e64799ef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001498", "prompt": "What value of x satisfies -4(x + 7) - 6 = x - 74?", "solution_steps": ["Expand: -4x - 28 - 6 = x - 74", "Combine constants: -4x - 34 = x - 74", "Subtract x from both sides: -5x - 34 = -74", "Add 34 to both sides: -5x = -40", "Divide both sides by -5: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 7) - 6 = x - 74", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 7, \"c\": 6, \"e\": -74, \"x\": 8}", "seed": "809805945990178730", "semantic_fingerprint": "sha256:7947ed1ce0bc6b7cc1ba7b08d130a30f5ad8c313cc9bf40816c524b80d5418b3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001499", "prompt": "Evaluate: 4 - (57 + (-884) / 79) + (-72)", "solution_steps": ["Divide: -884 / 79 = -884/79", "Add: 57 + (-884/79) = 3619/79", "Subtract: 4 - 3619/79 = -3303/79", "Add: -3303/79 + (-72) = -8991/79"], "final_answer": "-8991/79", "answer_type": "rational", "kind": "expression", "math_text": "4 - (57 + (-884) / 79) + (-72)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (+ n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 57, \"c\": -884, \"d\": 79, \"e\": -72}", "seed": "1114650593769306969", "semantic_fingerprint": "sha256:b01034c9ffee34dbdd42acc5ed44c780cf538443b3beae2a2ec2e7cf2379a833", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001500", "prompt": "Evaluate: 34 * ((-890 - 5 / (-1)) / 912)", "solution_steps": ["Divide: 5 / (-1) = -5", "Subtract: -890 - (-5) = -885", "Divide: -885 / 912 = -295/304", "Multiply: 34 * (-295/304) = -5015/152"], "final_answer": "-5015/152", "answer_type": "rational", "kind": "expression", "math_text": "34 * ((-890 - 5 / (-1)) / 912)", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": -890, \"c\": 5, \"d\": -1, \"e\": 912}", "seed": "11275572587889038231", "semantic_fingerprint": "sha256:dbaddd07dd6ce9e1fdd1d32435e6b794b8613b1d79c4b49d17ddedba4ad4e673", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001501", "prompt": "Calculate: 87 / (822 - (20 - (-778)) + (-804)) * 99", "solution_steps": ["Subtract: 20 - (-778) = 798", "Subtract: 822 - 798 = 24", "Add: 24 + (-804) = -780", "Divide: 87 / (-780) = -29/260", "Multiply: (-29/260) * 99 = -2871/260"], "final_answer": "-2871/260", "answer_type": "rational", "kind": "expression", "math_text": "87 / (822 - (20 - (-778)) + (-804)) * 99", "variable": null, "family": "expression_5op", "shape": "(* (/ n (+ (- n (- n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": 822, \"c\": 20, \"d\": -778, \"e\": -804, \"f\": 99}", "seed": "16459709218558837391", "semantic_fingerprint": "sha256:d286ed74df02cbc5a067b52bf52315eae79e1c9707e7305f617743efa481eb87", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001502", "prompt": "What is (-58 - 806) * (765 / (-977))?", "solution_steps": ["Subtract: -58 - 806 = -864", "Divide: 765 / (-977) = -765/977", "Multiply: -864 * (-765/977) = 660960/977"], "final_answer": "660960/977", "answer_type": "rational", "kind": "expression", "math_text": "(-58 - 806) * (765 / (-977))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": 806, \"c\": 765, \"d\": -977}", "seed": "7005815310680251305", "semantic_fingerprint": "sha256:fe06cac7c4a1ed12641b39a6c18355b745f98583031eba6063de2720fcb8d90f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001503", "prompt": "What is -9 - 82 * 68 - 795?", "solution_steps": ["Multiply: 82 * 68 = 5576", "Subtract: -9 - 5576 = -5585", "Subtract: -5585 - 795 = -6380"], "final_answer": "-6380", "answer_type": "integer", "kind": "expression", "math_text": "-9 - 82 * 68 - 795", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 82, \"c\": 68, \"d\": 795}", "seed": "13875910127215947779", "semantic_fingerprint": "sha256:70f7d7e3cd64d481b8a71b35d3c741b9d8dc1e0e90dc73e4b89ceb0c7b87378f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001504", "prompt": "What is -18 + (0 - 4) + 9 * (-73)?", "solution_steps": ["Subtract: 0 - 4 = -4", "Add: -18 + (-4) = -22", "Multiply: 9 * (-73) = -657", "Add: -22 + (-657) = -679"], "final_answer": "-679", "answer_type": "integer", "kind": "expression", "math_text": "-18 + (0 - 4) + 9 * (-73)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 0, \"c\": 4, \"d\": 9, \"e\": -73}", "seed": "6091899289581533428", "semantic_fingerprint": "sha256:1f04fd503ecba4a9c4f903859f09c6f2e48d9cb7fca2832455ff4f9edab18ab6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001505", "prompt": "Solve the equation -6(x - 9) - 9 = -7(x - 67) - 77 for x.", "solution_steps": ["Expand: -6x + 54 - 9 = -7(x - 67) - 77", "Expand: -6x + 54 - 9 = -7x + 469 - 77", "Combine constants: -6x + 45 = -7x + 469 - 77", "Combine constants: -6x + 45 = -7x + 392", "Add 7x to both sides: x + 45 = 392", "Subtract 45 from both sides: x = 347"], "final_answer": "347", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 9) - 9 = -7(x - 67) - 77", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 9, \"c\": 9, \"d\": -7, \"e\": 67, \"f\": 77}", "seed": "5242087883973074403", "semantic_fingerprint": "sha256:3cdbb83fef9dd60828f45615fe27fc397af8e02d5ac16d6d4f919a63262fafe8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001506", "prompt": "Find x: 10(x - 9) + 830 = 5x + 81", "solution_steps": ["Expand: 10x - 90 + 830 = 5x + 81", "Combine constants: 10x + 740 = 5x + 81", "Subtract 5x from both sides: 5x + 740 = 81", "Subtract 740 from both sides: 5x = -659", "Divide both sides by 5: x = -659/5"], "final_answer": "-659/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 9) + 830 = 5x + 81", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": 830, \"d\": 5, \"e\": 81}", "seed": "5301850942488788541", "semantic_fingerprint": "sha256:345affc5b4ad2608fd4187622b6e4998f2269d810317c720e19c5a1d2063bdac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001507", "prompt": "Calculate: -714 + 3 - (-84 + (-8))", "solution_steps": ["Add: -714 + 3 = -711", "Add: -84 + (-8) = -92", "Subtract: -711 - (-92) = -619"], "final_answer": "-619", "answer_type": "integer", "kind": "expression", "math_text": "-714 + 3 - (-84 + (-8))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -714, \"b\": 3, \"c\": -84, \"d\": -8}", "seed": "14221705271279281690", "semantic_fingerprint": "sha256:8e4d5ad88b65a4abe4f7727ac80c93d668491d66a68d7b13d5febcb65a8ae85d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001508", "prompt": "Evaluate: (506 + 5) / (-453 * 23 - (-9) - 391)", "solution_steps": ["Add: 506 + 5 = 511", "Multiply: -453 * 23 = -10419", "Subtract: -10419 - (-9) = -10410", "Subtract: -10410 - 391 = -10801", "Divide: 511 / (-10801) = -73/1543"], "final_answer": "-73/1543", "answer_type": "rational", "kind": "expression", "math_text": "(506 + 5) / (-453 * 23 - (-9) - 391)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (- (- (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 506, \"b\": 5, \"c\": -453, \"d\": 23, \"e\": -9, \"f\": 391}", "seed": "4119827760988408843", "semantic_fingerprint": "sha256:2bdbc14845a319eb8c83753d0b836cdc77e6a54600ddee8301a345eee638d7a2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001509", "prompt": "What value of x satisfies -4(x + 25) - 5 = x - 105?", "solution_steps": ["Expand: -4x - 100 - 5 = x - 105", "Combine constants: -4x - 105 = x - 105", "Subtract x from both sides: -5x - 105 = -105", "Add 105 to both sides: -5x = 0", "Divide both sides by -5: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 25) - 5 = x - 105", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 25, \"c\": 5, \"e\": -105, \"x\": 0}", "seed": "13141812902741221222", "semantic_fingerprint": "sha256:6bbe5ca088b8404f1dedac2a961c411633ac5b4d283d7493036ab67982984fce", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001510", "prompt": "Solve the equation -2(x - 7) + 19 = 8(x + 467) - 27 for x.", "solution_steps": ["Expand: -2x + 14 + 19 = 8(x + 467) - 27", "Expand: -2x + 14 + 19 = 8x + 3736 - 27", "Combine constants: -2x + 33 = 8x + 3736 - 27", "Combine constants: -2x + 33 = 8x + 3709", "Subtract 8x from both sides: -10x + 33 = 3709", "Subtract 33 from both sides: -10x = 3676", "Divide both sides by -10: x = -1838/5"], "final_answer": "-1838/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 7) + 19 = 8(x + 467) - 27", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 7, \"c\": 19, \"d\": 8, \"e\": 467, \"f\": 27}", "seed": "944160439443480431", "semantic_fingerprint": "sha256:4fe23a1c7497b228b0faab03e1d65410f03a1c93a219cbb19f67712ddcd3c46e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001511", "prompt": "Evaluate: -15 * 7 / (13 + 410)", "solution_steps": ["Multiply: -15 * 7 = -105", "Add: 13 + 410 = 423", "Divide: -105 / 423 = -35/141"], "final_answer": "-35/141", "answer_type": "rational", "kind": "expression", "math_text": "-15 * 7 / (13 + 410)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": 7, \"c\": 13, \"d\": 410}", "seed": "9642427029091259235", "semantic_fingerprint": "sha256:e6914f53f67d523017487d5789dda993f35576a2169753cd2139793636579c18", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001512", "prompt": "What is -9 - 1 - (-249) - (-45) * (-690) / 2?", "solution_steps": ["Subtract: -9 - 1 = -10", "Subtract: -10 - (-249) = 239", "Multiply: -45 * (-690) = 31050", "Divide: 31050 / 2 = 15525", "Subtract: 239 - 15525 = -15286"], "final_answer": "-15286", "answer_type": "integer", "kind": "expression", "math_text": "-9 - 1 - (-249) - (-45) * (-690) / 2", "variable": null, "family": "expression_5op", "shape": "(- (- (- n n) n) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 1, \"c\": -249, \"d\": -45, \"e\": -690, \"f\": 2}", "seed": "10582813371385984800", "semantic_fingerprint": "sha256:5e80dafcb6ce88915c3abaaae13b9cf7cacf6dce33f411d18d77cabb775a9e30", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001513", "prompt": "Compute: 30 * 4 + 873 - (16 - (-2)) + 48", "solution_steps": ["Multiply: 30 * 4 = 120", "Add: 120 + 873 = 993", "Subtract: 16 - (-2) = 18", "Subtract: 993 - 18 = 975", "Add: 975 + 48 = 1023"], "final_answer": "1023", "answer_type": "integer", "kind": "expression", "math_text": "30 * 4 + 873 - (16 - (-2)) + 48", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ (* n n) n) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 4, \"c\": 873, \"d\": 16, \"e\": -2, \"f\": 48}", "seed": "18301285446122026727", "semantic_fingerprint": "sha256:3f69dc22b802f44b5f9a4b9f022afe4fd429e022265018b09abfde2e94af366c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001514", "prompt": "Evaluate: 24 * (-81 - (13 * (-76) - (83 + 3)))", "solution_steps": ["Multiply: 13 * (-76) = -988", "Add: 83 + 3 = 86", "Subtract: -988 - 86 = -1074", "Subtract: -81 - (-1074) = 993", "Multiply: 24 * 993 = 23832"], "final_answer": "23832", "answer_type": "integer", "kind": "expression", "math_text": "24 * (-81 - (13 * (-76) - (83 + 3)))", "variable": null, "family": "expression_5op", "shape": "(* n (- n (- (* n n) (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -81, \"c\": 13, \"d\": -76, \"e\": 83, \"f\": 3}", "seed": "11879293872598047459", "semantic_fingerprint": "sha256:ed526b22670daa8d874f65d5ea54a6d8bb6f414c197d2f8b94a445c352853239", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001515", "prompt": "Compute: 3 / (-35) / (85 + (-9 - (-5) * 9))", "solution_steps": ["Divide: 3 / (-35) = -3/35", "Multiply: -5 * 9 = -45", "Subtract: -9 - (-45) = 36", "Add: 85 + 36 = 121", "Divide: (-3/35) / 121 = -3/4235"], "final_answer": "-3/4235", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-35) / (85 + (-9 - (-5) * 9))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n n) (+ n (- n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -35, \"c\": 85, \"d\": -9, \"e\": -5, \"f\": 9}", "seed": "3877038334280502715", "semantic_fingerprint": "sha256:6fc000cc71fdc1256c69eda014c8f7ec37623f6121c8ac07860e05ad0a75501c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001516", "prompt": "Evaluate: (74 + (-18) * 553) * (-34 * (-1))", "solution_steps": ["Multiply: -18 * 553 = -9954", "Add: 74 + (-9954) = -9880", "Multiply: -34 * (-1) = 34", "Multiply: -9880 * 34 = -335920"], "final_answer": "-335920", "answer_type": "integer", "kind": "expression", "math_text": "(74 + (-18) * 553) * (-34 * (-1))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -18, \"c\": 553, \"d\": -34, \"e\": -1}", "seed": "3923024356891072080", "semantic_fingerprint": "sha256:8e977a880cc9d998838507f6471f57db1f439bd8733f187caf47aab5920e8873", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001517", "prompt": "Solve for x: 11(x - 82) + 827 = 10(x - 9)", "solution_steps": ["Expand: 11x - 902 + 827 = 10(x - 9)", "Expand: 11x - 902 + 827 = 10x - 90", "Combine constants: 11x - 75 = 10x - 90", "Subtract 10x from both sides: x - 75 = -90", "Add 75 to both sides: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 82) + 827 = 10(x - 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 82, \"c\": 10, \"d\": 9, \"f\": 827, \"x\": -15}", "seed": "9996100276420675971", "semantic_fingerprint": "sha256:e42869644d0fafa5093f904627f308a171cf151c94798fd6592955cffb125c5f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001518", "prompt": "What is 4 * 43 / (-207 / (45 - (-961)))?", "solution_steps": ["Multiply: 4 * 43 = 172", "Subtract: 45 - (-961) = 1006", "Divide: -207 / 1006 = -207/1006", "Divide: 172 / (-207/1006) = -173032/207"], "final_answer": "-173032/207", "answer_type": "rational", "kind": "expression", "math_text": "4 * 43 / (-207 / (45 - (-961)))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 43, \"c\": -207, \"d\": 45, \"e\": -961}", "seed": "9330216763258441401", "semantic_fingerprint": "sha256:893eacc25938de4d1b2ad6ddd75f06eab6f6c3f4d97f5785b01c8ff7151936ec", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001519", "prompt": "Solve for x: 12(x - 97) = -5x - 994", "solution_steps": ["Expand: 12x - 1164 = -5x - 994", "Add 5x to both sides: 17x - 1164 = -994", "Add 1164 to both sides: 17x = 170", "Divide both sides by 17: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 97) = -5x - 994", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 97, \"c\": -5, \"e\": -994, \"x\": 10}", "seed": "2165880461456335544", "semantic_fingerprint": "sha256:afd83ae391835749a00aebae04d98a88730e81c8fa435889f3514b10c5c550e2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001520", "prompt": "Solve for x: 10(x - 27) + 65 = 2(x - 266)", "solution_steps": ["Expand: 10x - 270 + 65 = 2(x - 266)", "Expand: 10x - 270 + 65 = 2x - 532", "Combine constants: 10x - 205 = 2x - 532", "Subtract 2x from both sides: 8x - 205 = -532", "Add 205 to both sides: 8x = -327", "Divide both sides by 8: x = -327/8"], "final_answer": "-327/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 27) + 65 = 2(x - 266)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 27, \"c\": 65, \"d\": 2, \"e\": 266}", "seed": "1759228882974109481", "semantic_fingerprint": "sha256:cbc55368412f24579d08a4386dfecbb816f6b322dbf7a8591414c85c40566688", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001521", "prompt": "Calculate: -3 / 4 - (-489) - 516", "solution_steps": ["Divide: -3 / 4 = -3/4", "Subtract: -3/4 - (-489) = 1953/4", "Subtract: 1953/4 - 516 = -111/4"], "final_answer": "-111/4", "answer_type": "rational", "kind": "expression", "math_text": "-3 / 4 - (-489) - 516", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 4, \"c\": -489, \"d\": 516}", "seed": "4408919766190912786", "semantic_fingerprint": "sha256:c5306950949c3749bc0eef6569d264c7fbc93d52a783f7d33848c70c0d4fa1cc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001522", "prompt": "Evaluate: -9 - (8 - (-63) - 7) - (-58)", "solution_steps": ["Subtract: 8 - (-63) = 71", "Subtract: 71 - 7 = 64", "Subtract: -9 - 64 = -73", "Subtract: -73 - (-58) = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (8 - (-63) - 7) - (-58)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 8, \"c\": -63, \"d\": 7, \"e\": -58}", "seed": "3259550433464377244", "semantic_fingerprint": "sha256:523c8a6533579c01c5edceae4303aec9321d9802a0d0da35a0096d298d7a1c1a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001523", "prompt": "Find x: -8(x - 7) + 173 = 4x + 289", "solution_steps": ["Expand: -8x + 56 + 173 = 4x + 289", "Combine constants: -8x + 229 = 4x + 289", "Subtract 4x from both sides: -12x + 229 = 289", "Subtract 229 from both sides: -12x = 60", "Divide both sides by -12: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 7) + 173 = 4x + 289", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 7, \"c\": 173, \"d\": 4, \"f\": 289, \"x\": -5}", "seed": "16875540701363115180", "semantic_fingerprint": "sha256:4f0dec4956b24d9e17c2791ad1f409417b20325be3f97409e50297207120fd59", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001524", "prompt": "Compute: 244 * (-81) / (-84) / (-32)", "solution_steps": ["Multiply: 244 * (-81) = -19764", "Divide: -19764 / (-84) = 1647/7", "Divide: (1647/7) / (-32) = -1647/224"], "final_answer": "-1647/224", "answer_type": "rational", "kind": "expression", "math_text": "244 * (-81) / (-84) / (-32)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 244, \"b\": -81, \"c\": -84, \"d\": -32}", "seed": "17511383738337303574", "semantic_fingerprint": "sha256:0ecd941f66074c65eb9bb412e7f7d2d77cab7c3f32b86aa35a4b7566d3ace6b6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001525", "prompt": "What value of x satisfies 4(x - 9) + 75 = 12(x - 6)?", "solution_steps": ["Expand: 4x - 36 + 75 = 12(x - 6)", "Expand: 4x - 36 + 75 = 12x - 72", "Combine constants: 4x + 39 = 12x - 72", "Subtract 12x from both sides: -8x + 39 = -72", "Subtract 39 from both sides: -8x = -111", "Divide both sides by -8: x = 111/8"], "final_answer": "111/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 9) + 75 = 12(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 75, \"d\": 12, \"e\": 6}", "seed": "17897930891071861071", "semantic_fingerprint": "sha256:000bb8a2d5a052d8596dfd87f19d8f798c3b757945ce4254d6e1eb212b10699c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001526", "prompt": "Calculate: ((92 + (-9)) * (-4) - (-99)) / 42", "solution_steps": ["Add: 92 + (-9) = 83", "Multiply: 83 * (-4) = -332", "Subtract: -332 - (-99) = -233", "Divide: -233 / 42 = -233/42"], "final_answer": "-233/42", "answer_type": "rational", "kind": "expression", "math_text": "((92 + (-9)) * (-4) - (-99)) / 42", "variable": null, "family": "expression_4op", "shape": "(/ (- (* (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": -9, \"c\": -4, \"d\": -99, \"e\": 42}", "seed": "15032196562142016548", "semantic_fingerprint": "sha256:07bfa885972fa9e28bea5c16e3e3accb6cbf9ef5546f0afb8e3971c3e8425bb8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001527", "prompt": "Evaluate: (89 * (-8) - 63 / 9) * (7 * 4)", "solution_steps": ["Multiply: 89 * (-8) = -712", "Divide: 63 / 9 = 7", "Subtract: -712 - 7 = -719", "Multiply: 7 * 4 = 28", "Multiply: -719 * 28 = -20132"], "final_answer": "-20132", "answer_type": "integer", "kind": "expression", "math_text": "(89 * (-8) - 63 / 9) * (7 * 4)", "variable": null, "family": "expression_5op", "shape": "(* (- (* n n) (/ n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": -8, \"c\": 63, \"d\": 9, \"e\": 7, \"f\": 4}", "seed": "1093598576978411264", "semantic_fingerprint": "sha256:6155eca7e3e80e86b99666be3ff40a8c2d9ce02b46cb696c39df8f08ba827613", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001528", "prompt": "What is 887 * (-1) * (-7) / (33 / (-1))?", "solution_steps": ["Multiply: 887 * (-1) = -887", "Multiply: -887 * (-7) = 6209", "Divide: 33 / (-1) = -33", "Divide: 6209 / (-33) = -6209/33"], "final_answer": "-6209/33", "answer_type": "rational", "kind": "expression", "math_text": "887 * (-1) * (-7) / (33 / (-1))", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 887, \"b\": -1, \"c\": -7, \"d\": 33, \"e\": -1}", "seed": "6365202963813517128", "semantic_fingerprint": "sha256:984fd1c60f996ab18c18ee51c25c11f84347f783b85ef59a6d157b6fb2f23465", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001529", "prompt": "Evaluate: 1 + 99 - (-5 + 74)", "solution_steps": ["Add: 1 + 99 = 100", "Add: -5 + 74 = 69", "Subtract: 100 - 69 = 31"], "final_answer": "31", "answer_type": "integer", "kind": "expression", "math_text": "1 + 99 - (-5 + 74)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 99, \"c\": -5, \"d\": 74}", "seed": "7205493663234953706", "semantic_fingerprint": "sha256:7a22553ad1cbd8c66a73fa40d494c644a7b0fcc4f9e05d0180ac56b41f3b2387", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001530", "prompt": "What is (-88 + (22 - (-76 - (-852)))) * (-30)?", "solution_steps": ["Subtract: -76 - (-852) = 776", "Subtract: 22 - 776 = -754", "Add: -88 + (-754) = -842", "Multiply: -842 * (-30) = 25260"], "final_answer": "25260", "answer_type": "integer", "kind": "expression", "math_text": "(-88 + (22 - (-76 - (-852)))) * (-30)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (- n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": 22, \"c\": -76, \"d\": -852, \"e\": -30}", "seed": "9712604068144764466", "semantic_fingerprint": "sha256:651042a62622aa3c4cdd80e93124900131bdbf9009e93a0e1702d0ab5d8938c3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001531", "prompt": "Evaluate: (78 + (-45) - (-36)) / (-85) + (-8)", "solution_steps": ["Add: 78 + (-45) = 33", "Subtract: 33 - (-36) = 69", "Divide: 69 / (-85) = -69/85", "Add: -69/85 + (-8) = -749/85"], "final_answer": "-749/85", "answer_type": "rational", "kind": "expression", "math_text": "(78 + (-45) - (-36)) / (-85) + (-8)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": -45, \"c\": -36, \"d\": -85, \"e\": -8}", "seed": "1555914481101881270", "semantic_fingerprint": "sha256:e08341f1b838fa9d417d0ed3755ace70eb7f136fa66ad602184264c65d2136dd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001532", "prompt": "Find x: -8(x - 3) - 390 = 6(x - 82)", "solution_steps": ["Expand: -8x + 24 - 390 = 6(x - 82)", "Expand: -8x + 24 - 390 = 6x - 492", "Combine constants: -8x - 366 = 6x - 492", "Subtract 6x from both sides: -14x - 366 = -492", "Add 366 to both sides: -14x = -126", "Divide both sides by -14: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 3) - 390 = 6(x - 82)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"c\": 6, \"d\": 82, \"f\": -390, \"x\": 9}", "seed": "11817539011635796348", "semantic_fingerprint": "sha256:b4bf035608968584e50f22731f60cb081830f085eb227d8d1511d360108ecaf0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001533", "prompt": "What is -9 + (-635) - (-7 + (-47))?", "solution_steps": ["Add: -9 + (-635) = -644", "Add: -7 + (-47) = -54", "Subtract: -644 - (-54) = -590"], "final_answer": "-590", "answer_type": "integer", "kind": "expression", "math_text": "-9 + (-635) - (-7 + (-47))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -635, \"c\": -7, \"d\": -47}", "seed": "17866734244173720599", "semantic_fingerprint": "sha256:5582bcef2ca33991ee902d0ca8c8e5617f30a50d2b18b6212e6f928521605e06", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001534", "prompt": "Solve the equation x - 55 = 10(x - 104) + 985 for x.", "solution_steps": ["Expand: x - 55 = 10x - 1040 + 985", "Combine constants: x - 55 = 10x - 55", "Subtract 10x from both sides: -9x - 55 = -55", "Add 55 to both sides: -9x = 0", "Divide both sides by -9: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 55 = 10(x - 104) + 985", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 10, \"c\": 104, \"e\": 985, \"x\": 0}", "seed": "8582469053788151821", "semantic_fingerprint": "sha256:60764ef6364b68b0c819d3c231c42247ac1e334907b58312cd09da4c721a42e8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001535", "prompt": "What is (-16 - 206) * (-362) - (-516) + (-66)?", "solution_steps": ["Subtract: -16 - 206 = -222", "Multiply: -222 * (-362) = 80364", "Subtract: 80364 - (-516) = 80880", "Add: 80880 + (-66) = 80814"], "final_answer": "80814", "answer_type": "integer", "kind": "expression", "math_text": "(-16 - 206) * (-362) - (-516) + (-66)", "variable": null, "family": "expression_4op", "shape": "(+ (- (* (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": 206, \"c\": -362, \"d\": -516, \"e\": -66}", "seed": "8052384995398524526", "semantic_fingerprint": "sha256:78ae14d4c4567f55fa8fa3085206fc9bc12baecd877a23e500a54500a590070c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001536", "prompt": "What is 0 + 336 - (-924 + 99)?", "solution_steps": ["Add: 0 + 336 = 336", "Add: -924 + 99 = -825", "Subtract: 336 - (-825) = 1161"], "final_answer": "1161", "answer_type": "integer", "kind": "expression", "math_text": "0 + 336 - (-924 + 99)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 336, \"c\": -924, \"d\": 99}", "seed": "932315535693722183", "semantic_fingerprint": "sha256:d944295633e3d5386409679b1fc5853e8d1eb1c1ae73841177f3c3b9fc0d6098", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001537", "prompt": "Solve the equation -8(x - 80) - 3 = -3(x - 30) - 22 for x.", "solution_steps": ["Expand: -8x + 640 - 3 = -3(x - 30) - 22", "Expand: -8x + 640 - 3 = -3x + 90 - 22", "Combine constants: -8x + 637 = -3x + 90 - 22", "Combine constants: -8x + 637 = -3x + 68", "Add 3x to both sides: -5x + 637 = 68", "Subtract 637 from both sides: -5x = -569", "Divide both sides by -5: x = 569/5"], "final_answer": "569/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 80) - 3 = -3(x - 30) - 22", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 80, \"c\": 3, \"d\": -3, \"e\": 30, \"f\": 22}", "seed": "4618672304971858358", "semantic_fingerprint": "sha256:58ae4300ae7cebbb9187ed2c3c45d9ed1bc2b4a33f2ff99880905dab5924b1de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001538", "prompt": "What is -41 * (-6 - 35) - (-948) * (0 + 5)?", "solution_steps": ["Subtract: -6 - 35 = -41", "Multiply: -41 * (-41) = 1681", "Add: 0 + 5 = 5", "Multiply: -948 * 5 = -4740", "Subtract: 1681 - (-4740) = 6421"], "final_answer": "6421", "answer_type": "integer", "kind": "expression", "math_text": "-41 * (-6 - 35) - (-948) * (0 + 5)", "variable": null, "family": "expression_5op", "shape": "(- (* n (- n n)) (* n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": -6, \"c\": 35, \"d\": -948, \"e\": 0, \"f\": 5}", "seed": "7731358124323606882", "semantic_fingerprint": "sha256:39547e2b3607e792a7ae6ba66fd6557155cd5ff83cf0acf90722ee1fc1d0f86b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001539", "prompt": "What is 0 - (8 * 780 + (-52))?", "solution_steps": ["Multiply: 8 * 780 = 6240", "Add: 6240 + (-52) = 6188", "Subtract: 0 - 6188 = -6188"], "final_answer": "-6188", "answer_type": "integer", "kind": "expression", "math_text": "0 - (8 * 780 + (-52))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 8, \"c\": 780, \"d\": -52}", "seed": "14656287735153886013", "semantic_fingerprint": "sha256:a5d3035f060891fd1546c5de172992945be0907a99a447983be2a3021a65f7ce", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001540", "prompt": "Find x: 5(x - 946) + 545 = -2x + 12", "solution_steps": ["Expand: 5x - 4730 + 545 = -2x + 12", "Combine constants: 5x - 4185 = -2x + 12", "Add 2x to both sides: 7x - 4185 = 12", "Add 4185 to both sides: 7x = 4197", "Divide both sides by 7: x = 4197/7"], "final_answer": "4197/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 946) + 545 = -2x + 12", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 946, \"c\": 545, \"d\": -2, \"e\": 12}", "seed": "5910505230021337896", "semantic_fingerprint": "sha256:ecd8cca7e0000f0dcdabf45026bd60249fb0543c33ae5a640c86444a068c0af8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001541", "prompt": "Solve the equation -2(x - 1) + 29 = 3x + 16 for x.", "solution_steps": ["Expand: -2x + 2 + 29 = 3x + 16", "Combine constants: -2x + 31 = 3x + 16", "Subtract 3x from both sides: -5x + 31 = 16", "Subtract 31 from both sides: -5x = -15", "Divide both sides by -5: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 1) + 29 = 3x + 16", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 1, \"c\": 29, \"d\": 3, \"f\": 16, \"x\": 3}", "seed": "3348737932185942260", "semantic_fingerprint": "sha256:3a14f74615a2da509f5c62d2f25a9cdb5c34388de35571b4a9b1f4bcfa6c0f6b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001542", "prompt": "Calculate: -47 - (8 + (-9 - 0))", "solution_steps": ["Subtract: -9 - 0 = -9", "Add: 8 + (-9) = -1", "Subtract: -47 - (-1) = -46"], "final_answer": "-46", "answer_type": "integer", "kind": "expression", "math_text": "-47 - (8 + (-9 - 0))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 8, \"c\": -9, \"d\": 0}", "seed": "12811525208750203055", "semantic_fingerprint": "sha256:530ee37e764a123bac93de52ab31a1c1007648be7db3e2c3e80994f4e1c54d0a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001543", "prompt": "What value of x satisfies 6(x - 207) - 1 = 3(x - 524)?", "solution_steps": ["Expand: 6x - 1242 - 1 = 3(x - 524)", "Expand: 6x - 1242 - 1 = 3x - 1572", "Combine constants: 6x - 1243 = 3x - 1572", "Subtract 3x from both sides: 3x - 1243 = -1572", "Add 1243 to both sides: 3x = -329", "Divide both sides by 3: x = -329/3"], "final_answer": "-329/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 207) - 1 = 3(x - 524)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 207, \"c\": 1, \"d\": 3, \"e\": 524}", "seed": "11015522976305325488", "semantic_fingerprint": "sha256:0d6cec1ab35c77fc35536dca89f548646798c7c3d3b0aa7253b9b1cc75cfa796", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001544", "prompt": "Solve for x: 9(x - 22) + 8 = 11(x + 2) - 210", "solution_steps": ["Expand: 9x - 198 + 8 = 11(x + 2) - 210", "Expand: 9x - 198 + 8 = 11x + 22 - 210", "Combine constants: 9x - 190 = 11x + 22 - 210", "Combine constants: 9x - 190 = 11x - 188", "Subtract 11x from both sides: -2x - 190 = -188", "Add 190 to both sides: -2x = 2", "Divide both sides by -2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 22) + 8 = 11(x + 2) - 210", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 22, \"c\": 8, \"d\": 11, \"e\": 2, \"g\": -210, \"x\": -1}", "seed": "16510827956764442288", "semantic_fingerprint": "sha256:ce36951cc3f0ece9bf0c7f1dccebbdc2269541956cb9dd53805502abaca8ad16", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001545", "prompt": "Find x: 4(x - 1) - 440 = 6(x - 73)", "solution_steps": ["Expand: 4x - 4 - 440 = 6(x - 73)", "Expand: 4x - 4 - 440 = 6x - 438", "Combine constants: 4x - 444 = 6x - 438", "Subtract 6x from both sides: -2x - 444 = -438", "Add 444 to both sides: -2x = 6", "Divide both sides by -2: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 1) - 440 = 6(x - 73)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 6, \"d\": 73, \"f\": -440, \"x\": -3}", "seed": "7651536627877117275", "semantic_fingerprint": "sha256:53dbae3f4f6633e1ac9ba67a08f4733f5261af3fa1f7a74ba6f4342c0e1152e1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001546", "prompt": "Compute: -48 * (71 - 82 - (-3)) + (693 - 787)", "solution_steps": ["Subtract: 71 - 82 = -11", "Subtract: -11 - (-3) = -8", "Multiply: -48 * (-8) = 384", "Subtract: 693 - 787 = -94", "Add: 384 + (-94) = 290"], "final_answer": "290", "answer_type": "integer", "kind": "expression", "math_text": "-48 * (71 - 82 - (-3)) + (693 - 787)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (- (- n n) n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": 71, \"c\": 82, \"d\": -3, \"e\": 693, \"f\": 787}", "seed": "4012717195559276077", "semantic_fingerprint": "sha256:76c9391f543217aaa2b83670eeb69096578028f2f4201da6397454950db4c2c6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001547", "prompt": "Calculate: (-90 - (-389)) * (-5 * (-46))", "solution_steps": ["Subtract: -90 - (-389) = 299", "Multiply: -5 * (-46) = 230", "Multiply: 299 * 230 = 68770"], "final_answer": "68770", "answer_type": "integer", "kind": "expression", "math_text": "(-90 - (-389)) * (-5 * (-46))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": -389, \"c\": -5, \"d\": -46}", "seed": "6942685724141804503", "semantic_fingerprint": "sha256:d96a2686e2c4ea33451c55f8f1f6789fe498dee4147c0277f9310acefd27959e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001548", "prompt": "Compute: -309 / (-73 * (80 + (-58)) - (-207))", "solution_steps": ["Add: 80 + (-58) = 22", "Multiply: -73 * 22 = -1606", "Subtract: -1606 - (-207) = -1399", "Divide: -309 / (-1399) = 309/1399"], "final_answer": "309/1399", "answer_type": "rational", "kind": "expression", "math_text": "-309 / (-73 * (80 + (-58)) - (-207))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (* n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -309, \"b\": -73, \"c\": 80, \"d\": -58, \"e\": -207}", "seed": "9951313163313070989", "semantic_fingerprint": "sha256:4adb5000d13c9fdc02a1b46482f1929824022b4773ff3b20934b2fad0776dec9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001549", "prompt": "Compute: -39 - 838 / (-92) + 616 + 9", "solution_steps": ["Divide: 838 / (-92) = -419/46", "Subtract: -39 - (-419/46) = -1375/46", "Add: -1375/46 + 616 = 26961/46", "Add: 26961/46 + 9 = 27375/46"], "final_answer": "27375/46", "answer_type": "rational", "kind": "expression", "math_text": "-39 - 838 / (-92) + 616 + 9", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": 838, \"c\": -92, \"d\": 616, \"e\": 9}", "seed": "9118930631434079097", "semantic_fingerprint": "sha256:d156e4a4d6b81756f50576091256be7d49212cf14b454ced45b7a81d2c871a47", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001550", "prompt": "What value of x satisfies 6x - 48 = 9(x + 98) + 52?", "solution_steps": ["Expand: 6x - 48 = 9x + 882 + 52", "Combine constants: 6x - 48 = 9x + 934", "Subtract 9x from both sides: -3x - 48 = 934", "Add 48 to both sides: -3x = 982", "Divide both sides by -3: x = -982/3"], "final_answer": "-982/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x - 48 = 9(x + 98) + 52", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 48, \"c\": 9, \"d\": 98, \"e\": 52}", "seed": "11226920617677844362", "semantic_fingerprint": "sha256:67db1b22d1add9accfe0db84e5f2b0ce4f5d1d34c935a787e81f882b52c5509a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001551", "prompt": "Evaluate: -94 / (-2 - (-609) - 2)", "solution_steps": ["Subtract: -2 - (-609) = 607", "Subtract: 607 - 2 = 605", "Divide: -94 / 605 = -94/605"], "final_answer": "-94/605", "answer_type": "rational", "kind": "expression", "math_text": "-94 / (-2 - (-609) - 2)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": -2, \"c\": -609, \"d\": 2}", "seed": "5874539606261403269", "semantic_fingerprint": "sha256:717e5226a9f9bc6c165e8d4403b3b00d25e0c5d7ff787f3636407097ffc2aadb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001552", "prompt": "Solve the equation x - 76 = 5(x - 33) + 61 for x.", "solution_steps": ["Expand: x - 76 = 5x - 165 + 61", "Combine constants: x - 76 = 5x - 104", "Subtract 5x from both sides: -4x - 76 = -104", "Add 76 to both sides: -4x = -28", "Divide both sides by -4: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 76 = 5(x - 33) + 61", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 5, \"c\": 33, \"e\": 61, \"x\": 7}", "seed": "11147296968496460488", "semantic_fingerprint": "sha256:9a8e5020b2989f4221598a030e9fe02861255f1738182101421199273c454310", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001553", "prompt": "Solve for x: 2(x - 6) - 98 = 4(x - 33)", "solution_steps": ["Expand: 2x - 12 - 98 = 4(x - 33)", "Expand: 2x - 12 - 98 = 4x - 132", "Combine constants: 2x - 110 = 4x - 132", "Subtract 4x from both sides: -2x - 110 = -132", "Add 110 to both sides: -2x = -22", "Divide both sides by -2: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 6) - 98 = 4(x - 33)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 4, \"d\": 33, \"f\": -98, \"x\": 11}", "seed": "6950717928249356327", "semantic_fingerprint": "sha256:862da88749d551c8bd8ed940d4b2e25175bf3c05fdc15e2e839fbf0a707ab166", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001554", "prompt": "Solve the equation -7(x - 384) + 68 = -11x + 447 for x.", "solution_steps": ["Expand: -7x + 2688 + 68 = -11x + 447", "Combine constants: -7x + 2756 = -11x + 447", "Add 11x to both sides: 4x + 2756 = 447", "Subtract 2756 from both sides: 4x = -2309", "Divide both sides by 4: x = -2309/4"], "final_answer": "-2309/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x - 384) + 68 = -11x + 447", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 384, \"c\": 68, \"d\": -11, \"e\": 447}", "seed": "1933116254766445272", "semantic_fingerprint": "sha256:6ac7e826894a90d138e332241fc64ea4829a6a7d8a7d71e2267e8f07af86aa15", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001555", "prompt": "Solve for x: 9(x - 109) + 851 = 4(x - 35)", "solution_steps": ["Expand: 9x - 981 + 851 = 4(x - 35)", "Expand: 9x - 981 + 851 = 4x - 140", "Combine constants: 9x - 130 = 4x - 140", "Subtract 4x from both sides: 5x - 130 = -140", "Add 130 to both sides: 5x = -10", "Divide both sides by 5: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 109) + 851 = 4(x - 35)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 109, \"c\": 4, \"d\": 35, \"f\": 851, \"x\": -2}", "seed": "14803791763428497939", "semantic_fingerprint": "sha256:ee114daf36f12d3c2bfee1ba813f550aeb5a4e049a8155ba126e9eb74c7c4489", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001556", "prompt": "Evaluate: 3 / (-359 / (-2 * (-664)))", "solution_steps": ["Multiply: -2 * (-664) = 1328", "Divide: -359 / 1328 = -359/1328", "Divide: 3 / (-359/1328) = -3984/359"], "final_answer": "-3984/359", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-359 / (-2 * (-664)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -359, \"c\": -2, \"d\": -664}", "seed": "14167416767336077062", "semantic_fingerprint": "sha256:eeab367fba9bd0c98309767cfb3ecdedef043575c48b930dd75984a69ddc4885", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001557", "prompt": "What is (699 - (-214 - (1 + 3))) * 0 / 265?", "solution_steps": ["Add: 1 + 3 = 4", "Subtract: -214 - 4 = -218", "Subtract: 699 - (-218) = 917", "Multiply: 917 * 0 = 0", "Divide: 0 / 265 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(699 - (-214 - (1 + 3))) * 0 / 265", "variable": null, "family": "expression_5op", "shape": "(/ (* (- n (- n (+ n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 699, \"b\": -214, \"c\": 1, \"d\": 3, \"e\": 0, \"f\": 265}", "seed": "9415293045706048494", "semantic_fingerprint": "sha256:f502e4fc44705042376b24ddd4467c49b27247654343fbb2032ca5ec46233f2d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001558", "prompt": "What value of x satisfies -11x - 5 = 7(x + 798) + 4?", "solution_steps": ["Expand: -11x - 5 = 7x + 5586 + 4", "Combine constants: -11x - 5 = 7x + 5590", "Subtract 7x from both sides: -18x - 5 = 5590", "Add 5 to both sides: -18x = 5595", "Divide both sides by -18: x = -1865/6"], "final_answer": "-1865/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x - 5 = 7(x + 798) + 4", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 5, \"c\": 7, \"d\": 798, \"e\": 4}", "seed": "2912768355065825144", "semantic_fingerprint": "sha256:dfa99adbe3b5d5187083e3b6eaee3805077809c68732e18329fda0fe1147495f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001559", "prompt": "Compute: -9 * (-66) * (-7 / ((83 - 82) * (-7)))", "solution_steps": ["Multiply: -9 * (-66) = 594", "Subtract: 83 - 82 = 1", "Multiply: 1 * (-7) = -7", "Divide: -7 / (-7) = 1", "Multiply: 594 * 1 = 594"], "final_answer": "594", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-66) * (-7 / ((83 - 82) * (-7)))", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (/ n (* (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -66, \"c\": -7, \"d\": 83, \"e\": 82, \"f\": -7}", "seed": "14433743642307927267", "semantic_fingerprint": "sha256:44c6818084113029ad003a237c7b38baf870c5b88119e71bcad1f8fab0cbe3fe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001560", "prompt": "Solve the equation 6(x - 8) + 11 = -3x + 7 for x.", "solution_steps": ["Expand: 6x - 48 + 11 = -3x + 7", "Combine constants: 6x - 37 = -3x + 7", "Add 3x to both sides: 9x - 37 = 7", "Add 37 to both sides: 9x = 44", "Divide both sides by 9: x = 44/9"], "final_answer": "44/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 8) + 11 = -3x + 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 11, \"d\": -3, \"e\": 7}", "seed": "9887303985575767270", "semantic_fingerprint": "sha256:d7f4ca8b8a9c06ff92ea700feaecc72773aa336fcca18477d886274543cdfac0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001561", "prompt": "Find x: -7(x + 2) + 97 = 4(x + 68) - 321", "solution_steps": ["Expand: -7x - 14 + 97 = 4(x + 68) - 321", "Expand: -7x - 14 + 97 = 4x + 272 - 321", "Combine constants: -7x + 83 = 4x + 272 - 321", "Combine constants: -7x + 83 = 4x - 49", "Subtract 4x from both sides: -11x + 83 = -49", "Subtract 83 from both sides: -11x = -132", "Divide both sides by -11: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 2) + 97 = 4(x + 68) - 321", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 2, \"c\": 97, \"d\": 4, \"e\": 68, \"g\": -321, \"x\": 12}", "seed": "3267936685214893954", "semantic_fingerprint": "sha256:54afe076ff3945f1942938ccfaf3c5384657bf828ddc863943dc3b8c5190823a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001562", "prompt": "What is (31 + 0) * (0 - (-659) - (-84))?", "solution_steps": ["Add: 31 + 0 = 31", "Subtract: 0 - (-659) = 659", "Subtract: 659 - (-84) = 743", "Multiply: 31 * 743 = 23033"], "final_answer": "23033", "answer_type": "integer", "kind": "expression", "math_text": "(31 + 0) * (0 - (-659) - (-84))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 0, \"c\": 0, \"d\": -659, \"e\": -84}", "seed": "6488258203749585515", "semantic_fingerprint": "sha256:3765c8c33b3715158fe4571df9f7c4bf8a21098d38549988ee022ced69c3eac8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001563", "prompt": "Compute: -267 * (-69 + (-54) / (-74)) - 77", "solution_steps": ["Divide: -54 / (-74) = 27/37", "Add: -69 + 27/37 = -2526/37", "Multiply: -267 * (-2526/37) = 674442/37", "Subtract: 674442/37 - 77 = 671593/37"], "final_answer": "671593/37", "answer_type": "rational", "kind": "expression", "math_text": "-267 * (-69 + (-54) / (-74)) - 77", "variable": null, "family": "expression_4op", "shape": "(- (* n (+ n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -267, \"b\": -69, \"c\": -54, \"d\": -74, \"e\": 77}", "seed": "13546842366707302332", "semantic_fingerprint": "sha256:f0756d2093799ec371c94d1b0ae914e934e6ff53e72f62d680223cf9ab650bbd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001564", "prompt": "Compute: -4 / 6 - (0 * (-398) - (-75) / (-91))", "solution_steps": ["Divide: -4 / 6 = -2/3", "Multiply: 0 * (-398) = 0", "Divide: -75 / (-91) = 75/91", "Subtract: 0 - 75/91 = -75/91", "Subtract: -2/3 - (-75/91) = 43/273"], "final_answer": "43/273", "answer_type": "rational", "kind": "expression", "math_text": "-4 / 6 - (0 * (-398) - (-75) / (-91))", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (- (* n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 6, \"c\": 0, \"d\": -398, \"e\": -75, \"f\": -91}", "seed": "3249595498479480609", "semantic_fingerprint": "sha256:9a560f2df912d1ddd58d66c55b27efd8a15cdc58b4a94c3618eac8b0701890e8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001565", "prompt": "What is 4 / (-35 / (-3 * (-9)))?", "solution_steps": ["Multiply: -3 * (-9) = 27", "Divide: -35 / 27 = -35/27", "Divide: 4 / (-35/27) = -108/35"], "final_answer": "-108/35", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-35 / (-3 * (-9)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -35, \"c\": -3, \"d\": -9}", "seed": "8397403404457915178", "semantic_fingerprint": "sha256:ac6c894904d261c57df61f7e3f037f6318214b242cca70003f7d1ef4d1802c4b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001566", "prompt": "Compute: -189 * 59 / 6 / (-21)", "solution_steps": ["Multiply: -189 * 59 = -11151", "Divide: -11151 / 6 = -3717/2", "Divide: (-3717/2) / (-21) = 177/2"], "final_answer": "177/2", "answer_type": "rational", "kind": "expression", "math_text": "-189 * 59 / 6 / (-21)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -189, \"b\": 59, \"c\": 6, \"d\": -21}", "seed": "16061184103115175327", "semantic_fingerprint": "sha256:17d5e0f546c86f8b8edf88cec87d4a2ac79b7c9a6e67268b3ba6d1affb0593a9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001567", "prompt": "Solve the equation -2(x + 2) - 6 = x - 13 for x.", "solution_steps": ["Expand: -2x - 4 - 6 = x - 13", "Combine constants: -2x - 10 = x - 13", "Subtract x from both sides: -3x - 10 = -13", "Add 10 to both sides: -3x = -3", "Divide both sides by -3: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 2) - 6 = x - 13", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 2, \"c\": 6, \"e\": -13, \"x\": 1}", "seed": "6267989378785411828", "semantic_fingerprint": "sha256:8ec09cef8267a708dd496f3e0ec2f0b841823370b592417388b9bfafa3627a6a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001568", "prompt": "What is (905 - (-141) / 3) / 4?", "solution_steps": ["Divide: -141 / 3 = -47", "Subtract: 905 - (-47) = 952", "Divide: 952 / 4 = 238"], "final_answer": "238", "answer_type": "integer", "kind": "expression", "math_text": "(905 - (-141) / 3) / 4", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 905, \"b\": -141, \"c\": 3, \"d\": 4}", "seed": "6477466034247481804", "semantic_fingerprint": "sha256:b7789160c1c4dd5d773284105a3bd536385fb1740907fb897aadbec70d572c0d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001569", "prompt": "Calculate: 18 / (-23 + 91 - (-23 + (-68)))", "solution_steps": ["Add: -23 + 91 = 68", "Add: -23 + (-68) = -91", "Subtract: 68 - (-91) = 159", "Divide: 18 / 159 = 6/53"], "final_answer": "6/53", "answer_type": "rational", "kind": "expression", "math_text": "18 / (-23 + 91 - (-23 + (-68)))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": -23, \"c\": 91, \"d\": -23, \"e\": -68}", "seed": "17536711675155407072", "semantic_fingerprint": "sha256:1dd715b5b116ec2bfff12f85f15d946695fee820c1e8912839c3a792cefb8191", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001570", "prompt": "Calculate: -9 * 69 / ((-57 - (-6)) * (9 - 1))", "solution_steps": ["Multiply: -9 * 69 = -621", "Subtract: -57 - (-6) = -51", "Subtract: 9 - 1 = 8", "Multiply: -51 * 8 = -408", "Divide: -621 / (-408) = 207/136"], "final_answer": "207/136", "answer_type": "rational", "kind": "expression", "math_text": "-9 * 69 / ((-57 - (-6)) * (9 - 1))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (* (- n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 69, \"c\": -57, \"d\": -6, \"e\": 9, \"f\": 1}", "seed": "13978858259273108791", "semantic_fingerprint": "sha256:30dfe374c01bf49b31d72799caa66e0650e3c845af9ef5b5e87d250f0301da2c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001571", "prompt": "Compute: (91 * 51 + 3) * 53", "solution_steps": ["Multiply: 91 * 51 = 4641", "Add: 4641 + 3 = 4644", "Multiply: 4644 * 53 = 246132"], "final_answer": "246132", "answer_type": "integer", "kind": "expression", "math_text": "(91 * 51 + 3) * 53", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": 51, \"c\": 3, \"d\": 53}", "seed": "452217465422431479", "semantic_fingerprint": "sha256:2d2580ca3c79256929557a25dcdc2a7e7f00799e5ef025d26556df6188f0b660", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001572", "prompt": "What value of x satisfies -3(x + 435) + 17 = 6(x + 5) - 25?", "solution_steps": ["Expand: -3x - 1305 + 17 = 6(x + 5) - 25", "Expand: -3x - 1305 + 17 = 6x + 30 - 25", "Combine constants: -3x - 1288 = 6x + 30 - 25", "Combine constants: -3x - 1288 = 6x + 5", "Subtract 6x from both sides: -9x - 1288 = 5", "Add 1288 to both sides: -9x = 1293", "Divide both sides by -9: x = -431/3"], "final_answer": "-431/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x + 435) + 17 = 6(x + 5) - 25", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 435, \"c\": 17, \"d\": 6, \"e\": 5, \"f\": 25}", "seed": "9253072895159156725", "semantic_fingerprint": "sha256:30dd1e2f657358e38050de5f94378cd8c18c78e7bffb8992de2b34b22ef11c30", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001573", "prompt": "Evaluate: -3 * 6 + (1 - 57 / 3 - 6)", "solution_steps": ["Multiply: -3 * 6 = -18", "Divide: 57 / 3 = 19", "Subtract: 1 - 19 = -18", "Subtract: -18 - 6 = -24", "Add: -18 + (-24) = -42"], "final_answer": "-42", "answer_type": "integer", "kind": "expression", "math_text": "-3 * 6 + (1 - 57 / 3 - 6)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (- (- n (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 6, \"c\": 1, \"d\": 57, \"e\": 3, \"f\": 6}", "seed": "6481620749552129962", "semantic_fingerprint": "sha256:4ec2255f90ab4e6abd4c864c261b8a0da971ee387eda42c4c2a6f330bba7b04f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001574", "prompt": "Compute: (0 + (-854) * 84) / (-553 * (-7))", "solution_steps": ["Multiply: -854 * 84 = -71736", "Add: 0 + (-71736) = -71736", "Multiply: -553 * (-7) = 3871", "Divide: -71736 / 3871 = -1464/79"], "final_answer": "-1464/79", "answer_type": "rational", "kind": "expression", "math_text": "(0 + (-854) * 84) / (-553 * (-7))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -854, \"c\": 84, \"d\": -553, \"e\": -7}", "seed": "1997160474883810239", "semantic_fingerprint": "sha256:56d8441600361700d2c675e5844e25b8f3380e1ba2a9ad35d864683152241081", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001575", "prompt": "Compute: -9 + (-47 + (-184)) + (-4) * (-1)", "solution_steps": ["Add: -47 + (-184) = -231", "Add: -9 + (-231) = -240", "Multiply: -4 * (-1) = 4", "Add: -240 + 4 = -236"], "final_answer": "-236", "answer_type": "integer", "kind": "expression", "math_text": "-9 + (-47 + (-184)) + (-4) * (-1)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -47, \"c\": -184, \"d\": -4, \"e\": -1}", "seed": "8964468887064617123", "semantic_fingerprint": "sha256:0f12a8570ee6df8840448f827c68a22998765634224ae9f876d6f083f463aeb3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001576", "prompt": "What is (-84 + (-22)) * (-9 - (-8) - 1)?", "solution_steps": ["Add: -84 + (-22) = -106", "Subtract: -9 - (-8) = -1", "Subtract: -1 - 1 = -2", "Multiply: -106 * (-2) = 212"], "final_answer": "212", "answer_type": "integer", "kind": "expression", "math_text": "(-84 + (-22)) * (-9 - (-8) - 1)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": -22, \"c\": -9, \"d\": -8, \"e\": 1}", "seed": "18003353603556134374", "semantic_fingerprint": "sha256:b261420fb96b6e05a34696198825661a762fe83d28a6034b482015a8f9bc46c3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001577", "prompt": "Evaluate: (2 - 98 + (-62)) / (36 - (-703 - (-20)))", "solution_steps": ["Subtract: 2 - 98 = -96", "Add: -96 + (-62) = -158", "Subtract: -703 - (-20) = -683", "Subtract: 36 - (-683) = 719", "Divide: -158 / 719 = -158/719"], "final_answer": "-158/719", "answer_type": "rational", "kind": "expression", "math_text": "(2 - 98 + (-62)) / (36 - (-703 - (-20)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 98, \"c\": -62, \"d\": 36, \"e\": -703, \"f\": -20}", "seed": "17864289364453514577", "semantic_fingerprint": "sha256:8fb1e2fddcc6f3655fe173c5f93a60c0484c1dacbfb84e79a736eeb4a039c127", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001578", "prompt": "Solve for x: 8(x - 47) - 3 = -12(x - 2) - 283", "solution_steps": ["Expand: 8x - 376 - 3 = -12(x - 2) - 283", "Expand: 8x - 376 - 3 = -12x + 24 - 283", "Combine constants: 8x - 379 = -12x + 24 - 283", "Combine constants: 8x - 379 = -12x - 259", "Add 12x to both sides: 20x - 379 = -259", "Add 379 to both sides: 20x = 120", "Divide both sides by 20: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 47) - 3 = -12(x - 2) - 283", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 47, \"c\": 3, \"d\": -12, \"e\": 2, \"g\": -283, \"x\": 6}", "seed": "15131347356029233830", "semantic_fingerprint": "sha256:3751b31d5bebf55463184ed7c6a336cf056d08f9bef43998a7061f7c17f91cfb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001579", "prompt": "Solve for x: 4(x - 831) - 48 = 6(x - 85) - 3", "solution_steps": ["Expand: 4x - 3324 - 48 = 6(x - 85) - 3", "Expand: 4x - 3324 - 48 = 6x - 510 - 3", "Combine constants: 4x - 3372 = 6x - 510 - 3", "Combine constants: 4x - 3372 = 6x - 513", "Subtract 6x from both sides: -2x - 3372 = -513", "Add 3372 to both sides: -2x = 2859", "Divide both sides by -2: x = -2859/2"], "final_answer": "-2859/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 831) - 48 = 6(x - 85) - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 831, \"c\": 48, \"d\": 6, \"e\": 85, \"f\": 3}", "seed": "17454260132081062035", "semantic_fingerprint": "sha256:541a89d2f3b1c862c89e6e13e04d2312124ccc0820eacb60aeacd4a325cbeee3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001580", "prompt": "What value of x satisfies 9(x + 8) + 64 = 6(x + 58) - 242?", "solution_steps": ["Expand: 9x + 72 + 64 = 6(x + 58) - 242", "Expand: 9x + 72 + 64 = 6x + 348 - 242", "Combine constants: 9x + 136 = 6x + 348 - 242", "Combine constants: 9x + 136 = 6x + 106", "Subtract 6x from both sides: 3x + 136 = 106", "Subtract 136 from both sides: 3x = -30", "Divide both sides by 3: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 8) + 64 = 6(x + 58) - 242", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 64, \"d\": 6, \"e\": 58, \"g\": -242, \"x\": -10}", "seed": "5711304251361272827", "semantic_fingerprint": "sha256:b6a04bee13d229635c7e1502df1dbede86dcc2aaa54bed265cf0fae7f778daa3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001581", "prompt": "What is -66 * 470 / (7 + 76)?", "solution_steps": ["Multiply: -66 * 470 = -31020", "Add: 7 + 76 = 83", "Divide: -31020 / 83 = -31020/83"], "final_answer": "-31020/83", "answer_type": "rational", "kind": "expression", "math_text": "-66 * 470 / (7 + 76)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": 470, \"c\": 7, \"d\": 76}", "seed": "6636817370350915773", "semantic_fingerprint": "sha256:fb79428ad121e747bd59da76197c054e4caf6f74d9154d1cc369c50284c64411", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001582", "prompt": "What value of x satisfies -12(x + 957) + 1 = -2(x + 38) - 495?", "solution_steps": ["Expand: -12x - 11484 + 1 = -2(x + 38) - 495", "Expand: -12x - 11484 + 1 = -2x - 76 - 495", "Combine constants: -12x - 11483 = -2x - 76 - 495", "Combine constants: -12x - 11483 = -2x - 571", "Add 2x to both sides: -10x - 11483 = -571", "Add 11483 to both sides: -10x = 10912", "Divide both sides by -10: x = -5456/5"], "final_answer": "-5456/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 957) + 1 = -2(x + 38) - 495", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 957, \"c\": 1, \"d\": -2, \"e\": 38, \"f\": 495}", "seed": "5699140681194917295", "semantic_fingerprint": "sha256:c076fbaa5563fb6113ace99b6e607be4926243ad879344f776051fa704a9a7d7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001583", "prompt": "Find x: -10(x + 82) + 77 = -11(x + 5) - 88", "solution_steps": ["Expand: -10x - 820 + 77 = -11(x + 5) - 88", "Expand: -10x - 820 + 77 = -11x - 55 - 88", "Combine constants: -10x - 743 = -11x - 55 - 88", "Combine constants: -10x - 743 = -11x - 143", "Add 11x to both sides: x - 743 = -143", "Add 743 to both sides: x = 600"], "final_answer": "600", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 82) + 77 = -11(x + 5) - 88", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 82, \"c\": 77, \"d\": -11, \"e\": 5, \"f\": 88}", "seed": "3437942487223689517", "semantic_fingerprint": "sha256:57215cb706c0712b7bd3b1e03b231e14ce3ed2ecab9ce3fbcf9d6e9c6cdf98b2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001584", "prompt": "Calculate: 1 * (-398 / (-3) - 0 - 2)", "solution_steps": ["Divide: -398 / (-3) = 398/3", "Subtract: 398/3 - 0 = 398/3", "Subtract: 398/3 - 2 = 392/3", "Multiply: 1 * (392/3) = 392/3"], "final_answer": "392/3", "answer_type": "rational", "kind": "expression", "math_text": "1 * (-398 / (-3) - 0 - 2)", "variable": null, "family": "expression_4op", "shape": "(* n (- (- (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -398, \"c\": -3, \"d\": 0, \"e\": 2}", "seed": "18443549620582825919", "semantic_fingerprint": "sha256:804bd078022fe43a71055ae88f9c17c3bdae2a79b689c3533a806c2f7f8727a4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001585", "prompt": "Evaluate: (-833 - (-8)) / (6 * 203)", "solution_steps": ["Subtract: -833 - (-8) = -825", "Multiply: 6 * 203 = 1218", "Divide: -825 / 1218 = -275/406"], "final_answer": "-275/406", "answer_type": "rational", "kind": "expression", "math_text": "(-833 - (-8)) / (6 * 203)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -833, \"b\": -8, \"c\": 6, \"d\": 203}", "seed": "9697389997855947289", "semantic_fingerprint": "sha256:0e16a6ca7e4097361f5d5f46b3c36e57821bf70f110059f7787c647827b0d964", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001586", "prompt": "What is (37 * 648 - (26 - (-62)) - 862) / (-331)?", "solution_steps": ["Multiply: 37 * 648 = 23976", "Subtract: 26 - (-62) = 88", "Subtract: 23976 - 88 = 23888", "Subtract: 23888 - 862 = 23026", "Divide: 23026 / (-331) = -23026/331"], "final_answer": "-23026/331", "answer_type": "rational", "kind": "expression", "math_text": "(37 * 648 - (26 - (-62)) - 862) / (-331)", "variable": null, "family": "expression_5op", "shape": "(/ (- (- (* n n) (- n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": 648, \"c\": 26, \"d\": -62, \"e\": 862, \"f\": -331}", "seed": "797969555906131741", "semantic_fingerprint": "sha256:0d61ed0cee2a3f8dd80606834c02367ecd3f1b6c076f85422dcc663dbfbebb0a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001587", "prompt": "Solve for x: x - 140 = 3(x - 27) + 2", "solution_steps": ["Expand: x - 140 = 3x - 81 + 2", "Combine constants: x - 140 = 3x - 79", "Subtract 3x from both sides: -2x - 140 = -79", "Add 140 to both sides: -2x = 61", "Divide both sides by -2: x = -61/2"], "final_answer": "-61/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 140 = 3(x - 27) + 2", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 140, \"b\": 3, \"c\": 27, \"d\": 2}", "seed": "6541005905971970245", "semantic_fingerprint": "sha256:dccaf9b6ed34d7f3a11c03a12b001757b5408dc7d6e691e7a693bcf39807b7bb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001588", "prompt": "Evaluate: -36 / (1 - (-3) - (-5))", "solution_steps": ["Subtract: 1 - (-3) = 4", "Subtract: 4 - (-5) = 9", "Divide: -36 / 9 = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "-36 / (1 - (-3) - (-5))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": 1, \"c\": -3, \"d\": -5}", "seed": "11822064244007857470", "semantic_fingerprint": "sha256:5fb3df1290cc2bf50e1ba59c4519e18fd2ae9c8f1a6d9c5887c79c3c9247c2c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001589", "prompt": "What value of x satisfies 12(x - 41) + 460 = 5(x - 19)?", "solution_steps": ["Expand: 12x - 492 + 460 = 5(x - 19)", "Expand: 12x - 492 + 460 = 5x - 95", "Combine constants: 12x - 32 = 5x - 95", "Subtract 5x from both sides: 7x - 32 = -95", "Add 32 to both sides: 7x = -63", "Divide both sides by 7: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 41) + 460 = 5(x - 19)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 41, \"c\": 5, \"d\": 19, \"f\": 460, \"x\": -9}", "seed": "3640222643815473820", "semantic_fingerprint": "sha256:10977f34a85006277ca9aecd8060525dfb29367621b072b1aecc2fb89f0f4fc5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001590", "prompt": "Find x: x - 8 = 7(x - 28) + 98", "solution_steps": ["Expand: x - 8 = 7x - 196 + 98", "Combine constants: x - 8 = 7x - 98", "Subtract 7x from both sides: -6x - 8 = -98", "Add 8 to both sides: -6x = -90", "Divide both sides by -6: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8 = 7(x - 28) + 98", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 28, \"e\": 98, \"x\": 15}", "seed": "4971073343540444432", "semantic_fingerprint": "sha256:a1e7c00386e18921a3b90d1854469fcbdbdee523dc4637eba67f8a5a5488ec9e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001591", "prompt": "Solve the equation -5(x - 81) + 163 = -6(x - 94) for x.", "solution_steps": ["Expand: -5x + 405 + 163 = -6(x - 94)", "Expand: -5x + 405 + 163 = -6x + 564", "Combine constants: -5x + 568 = -6x + 564", "Add 6x to both sides: x + 568 = 564", "Subtract 568 from both sides: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 81) + 163 = -6(x - 94)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 81, \"c\": -6, \"d\": 94, \"f\": 163, \"x\": -4}", "seed": "12795446180512853548", "semantic_fingerprint": "sha256:05a97483797d9986e4e5135f8f4abbc54258681454b0d8330e954ca34de7e881", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001592", "prompt": "What is 69 - (-9 + 566) + 699?", "solution_steps": ["Add: -9 + 566 = 557", "Subtract: 69 - 557 = -488", "Add: -488 + 699 = 211"], "final_answer": "211", "answer_type": "integer", "kind": "expression", "math_text": "69 - (-9 + 566) + 699", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": -9, \"c\": 566, \"d\": 699}", "seed": "11676119352974792044", "semantic_fingerprint": "sha256:86337e757fd1f273d075501f2b28aa5dbda9e860f11a052dd8e589fd48ad9573", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001593", "prompt": "Evaluate: (-245 - 97) / (-7 - (929 + (-2)) - (-84))", "solution_steps": ["Subtract: -245 - 97 = -342", "Add: 929 + (-2) = 927", "Subtract: -7 - 927 = -934", "Subtract: -934 - (-84) = -850", "Divide: -342 / (-850) = 171/425"], "final_answer": "171/425", "answer_type": "rational", "kind": "expression", "math_text": "(-245 - 97) / (-7 - (929 + (-2)) - (-84))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (- (- n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -245, \"b\": 97, \"c\": -7, \"d\": 929, \"e\": -2, \"f\": -84}", "seed": "3407089979430096185", "semantic_fingerprint": "sha256:c6e4a144a39eb7474af884911d2e474e5cc79a8aac910a8c8e3bf0f021167ee2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001594", "prompt": "What is 9 * (879 + 3 - 795 - 65)?", "solution_steps": ["Add: 879 + 3 = 882", "Subtract: 882 - 795 = 87", "Subtract: 87 - 65 = 22", "Multiply: 9 * 22 = 198"], "final_answer": "198", "answer_type": "integer", "kind": "expression", "math_text": "9 * (879 + 3 - 795 - 65)", "variable": null, "family": "expression_4op", "shape": "(* n (- (- (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 879, \"c\": 3, \"d\": 795, \"e\": 65}", "seed": "14230052541771143316", "semantic_fingerprint": "sha256:6211fea1dccc122e4c8e7a12d86b1586d5945044914ed4a86ec4b953e53f7a82", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001595", "prompt": "Calculate: -54 + (-4) / (14 - 40)", "solution_steps": ["Subtract: 14 - 40 = -26", "Divide: -4 / (-26) = 2/13", "Add: -54 + 2/13 = -700/13"], "final_answer": "-700/13", "answer_type": "rational", "kind": "expression", "math_text": "-54 + (-4) / (14 - 40)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": -4, \"c\": 14, \"d\": 40}", "seed": "6485701958572586172", "semantic_fingerprint": "sha256:8f59d0f7b9bc40ea8dd195857a810878bd3edc319c6811a72254b116ffd68e17", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001596", "prompt": "What is -3 + (-81 - 3) + (-7) * 9?", "solution_steps": ["Subtract: -81 - 3 = -84", "Add: -3 + (-84) = -87", "Multiply: -7 * 9 = -63", "Add: -87 + (-63) = -150"], "final_answer": "-150", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (-81 - 3) + (-7) * 9", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -81, \"c\": 3, \"d\": -7, \"e\": 9}", "seed": "2599457201601052224", "semantic_fingerprint": "sha256:a951a5098491aa2ea97af4b4123637fcc2357a4d273db466e3e8ef3cf4fd901d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001597", "prompt": "Compute: 41 / 52 * (-5) * (-58) - 2 * (-4)", "solution_steps": ["Divide: 41 / 52 = 41/52", "Multiply: (41/52) * (-5) = -205/52", "Multiply: (-205/52) * (-58) = 5945/26", "Multiply: 2 * (-4) = -8", "Subtract: 5945/26 - (-8) = 6153/26"], "final_answer": "6153/26", "answer_type": "rational", "kind": "expression", "math_text": "41 / 52 * (-5) * (-58) - 2 * (-4)", "variable": null, "family": "expression_5op", "shape": "(- (* (* (/ n n) n) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 52, \"c\": -5, \"d\": -58, \"e\": 2, \"f\": -4}", "seed": "11677007347301371797", "semantic_fingerprint": "sha256:0f58287c56163b1abdac44996cc013d3d245fc50dc37f59c6ed7842bb445e2e6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001598", "prompt": "Compute: 3 * 33 * (-995) + (-46) / 9", "solution_steps": ["Multiply: 3 * 33 = 99", "Multiply: 99 * (-995) = -98505", "Divide: -46 / 9 = -46/9", "Add: -98505 + (-46/9) = -886591/9"], "final_answer": "-886591/9", "answer_type": "rational", "kind": "expression", "math_text": "3 * 33 * (-995) + (-46) / 9", "variable": null, "family": "expression_4op", "shape": "(+ (* (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 33, \"c\": -995, \"d\": -46, \"e\": 9}", "seed": "8232137301906572685", "semantic_fingerprint": "sha256:bff0d7708933a6a69f939c111a561a8e7f9c9f3b34848cddf80f9431321f2fa6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001599", "prompt": "Solve the equation 8(x - 28) - 20 = -9(x - 18) for x.", "solution_steps": ["Expand: 8x - 224 - 20 = -9(x - 18)", "Expand: 8x - 224 - 20 = -9x + 162", "Combine constants: 8x - 244 = -9x + 162", "Add 9x to both sides: 17x - 244 = 162", "Add 244 to both sides: 17x = 406", "Divide both sides by 17: x = 406/17"], "final_answer": "406/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 28) - 20 = -9(x - 18)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 28, \"c\": 20, \"d\": -9, \"e\": 18}", "seed": "6202876037467381206", "semantic_fingerprint": "sha256:21a085cc158d701cb3313a9b778de479781dbf6a526e0bc7a304c5807fa4ece0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001600", "prompt": "What is 1 * (3 * (-721 - (-225)))?", "solution_steps": ["Subtract: -721 - (-225) = -496", "Multiply: 3 * (-496) = -1488", "Multiply: 1 * (-1488) = -1488"], "final_answer": "-1488", "answer_type": "integer", "kind": "expression", "math_text": "1 * (3 * (-721 - (-225)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 3, \"c\": -721, \"d\": -225}", "seed": "8133094622639839647", "semantic_fingerprint": "sha256:0982c5410508f6d83c7a6e6b612d7dcf9e017239ad71b4cb321924637859f4fb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001601", "prompt": "Find x: -3(x - 1) = 2x - 17", "solution_steps": ["Expand: -3x + 3 = 2x - 17", "Subtract 2x from both sides: -5x + 3 = -17", "Subtract 3 from both sides: -5x = -20", "Divide both sides by -5: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 1) = 2x - 17", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 1, \"c\": 2, \"d\": 17}", "seed": "4289596789243421059", "semantic_fingerprint": "sha256:304eae7a91595c877a2831bec4e8145145c1229677f2877d9afba0a4d3133499", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001602", "prompt": "Solve for x: -3(x - 30) - 9 = -6(x - 22)", "solution_steps": ["Expand: -3x + 90 - 9 = -6(x - 22)", "Expand: -3x + 90 - 9 = -6x + 132", "Combine constants: -3x + 81 = -6x + 132", "Add 6x to both sides: 3x + 81 = 132", "Subtract 81 from both sides: 3x = 51", "Divide both sides by 3: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 30) - 9 = -6(x - 22)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 30, \"c\": -6, \"d\": 22, \"f\": -9, \"x\": 17}", "seed": "10904992930115356720", "semantic_fingerprint": "sha256:3069c0c9415c37c8262d399c6a9328ec595ea75b5383c91dbdf42c44079263f2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001603", "prompt": "Solve the equation x - 4 = 5(x - 19) + 103 for x.", "solution_steps": ["Expand: x - 4 = 5x - 95 + 103", "Combine constants: x - 4 = 5x + 8", "Subtract 5x from both sides: -4x - 4 = 8", "Add 4 to both sides: -4x = 12", "Divide both sides by -4: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4 = 5(x - 19) + 103", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 19, \"e\": 103, \"x\": -3}", "seed": "12506768614307289084", "semantic_fingerprint": "sha256:39692cff2e3963321ffd491eabd5b6574207513ccaba58caf09bfb9dde836bdb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001604", "prompt": "Solve for x: 5(x - 25) - 2 = 6(x - 128)", "solution_steps": ["Expand: 5x - 125 - 2 = 6(x - 128)", "Expand: 5x - 125 - 2 = 6x - 768", "Combine constants: 5x - 127 = 6x - 768", "Subtract 6x from both sides: -x - 127 = -768", "Add 127 to both sides: -x = -641", "Divide both sides by -1: x = 641"], "final_answer": "641", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 25) - 2 = 6(x - 128)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 25, \"c\": 2, \"d\": 6, \"e\": 128}", "seed": "15631205436258656534", "semantic_fingerprint": "sha256:5138a5c72c322bb90ce0daeba77e1d8c80cbe1145e9b121323073920e8a2d728", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001605", "prompt": "Solve the equation 7(x - 16) + 86 = 2(x + 16) - 43 for x.", "solution_steps": ["Expand: 7x - 112 + 86 = 2(x + 16) - 43", "Expand: 7x - 112 + 86 = 2x + 32 - 43", "Combine constants: 7x - 26 = 2x + 32 - 43", "Combine constants: 7x - 26 = 2x - 11", "Subtract 2x from both sides: 5x - 26 = -11", "Add 26 to both sides: 5x = 15", "Divide both sides by 5: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 16) + 86 = 2(x + 16) - 43", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 16, \"c\": 86, \"d\": 2, \"e\": 16, \"g\": -43, \"x\": 3}", "seed": "7576058578629169751", "semantic_fingerprint": "sha256:f4d48dbdc210ca72e40fa2c0223c99723382e165d2acb2473b14c34e762db245", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001606", "prompt": "Calculate: (74 - 4) * (248 / (-819))", "solution_steps": ["Subtract: 74 - 4 = 70", "Divide: 248 / (-819) = -248/819", "Multiply: 70 * (-248/819) = -2480/117"], "final_answer": "-2480/117", "answer_type": "rational", "kind": "expression", "math_text": "(74 - 4) * (248 / (-819))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": 4, \"c\": 248, \"d\": -819}", "seed": "11794773345182902049", "semantic_fingerprint": "sha256:9c1fe2eabbac2bc0ac4926dc1ce2a0b89d74066b33dacd6894bf0cef017b74a7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001607", "prompt": "Compute: -976 + (-55 + (-33)) - (-312)", "solution_steps": ["Add: -55 + (-33) = -88", "Add: -976 + (-88) = -1064", "Subtract: -1064 - (-312) = -752"], "final_answer": "-752", "answer_type": "integer", "kind": "expression", "math_text": "-976 + (-55 + (-33)) - (-312)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -976, \"b\": -55, \"c\": -33, \"d\": -312}", "seed": "11904260564711505848", "semantic_fingerprint": "sha256:679bdbc00172a382044457a72d3f79d9c1d30386a2ece8b67dd7209e6737e6b8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001608", "prompt": "What value of x satisfies -7(x - 25) - 708 = 11(x - 37)?", "solution_steps": ["Expand: -7x + 175 - 708 = 11(x - 37)", "Expand: -7x + 175 - 708 = 11x - 407", "Combine constants: -7x - 533 = 11x - 407", "Subtract 11x from both sides: -18x - 533 = -407", "Add 533 to both sides: -18x = 126", "Divide both sides by -18: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 25) - 708 = 11(x - 37)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 25, \"c\": 11, \"d\": 37, \"f\": -708, \"x\": -7}", "seed": "5358670717995032882", "semantic_fingerprint": "sha256:9d5540242dc2d331d320ce6488b552827d2c5ddc804eba56b0011354fc7ee2a2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001609", "prompt": "Solve for x: 6(x - 88) + 4 = -2(x + 87) - 294", "solution_steps": ["Expand: 6x - 528 + 4 = -2(x + 87) - 294", "Expand: 6x - 528 + 4 = -2x - 174 - 294", "Combine constants: 6x - 524 = -2x - 174 - 294", "Combine constants: 6x - 524 = -2x - 468", "Add 2x to both sides: 8x - 524 = -468", "Add 524 to both sides: 8x = 56", "Divide both sides by 8: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 88) + 4 = -2(x + 87) - 294", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 88, \"c\": 4, \"d\": -2, \"e\": 87, \"g\": -294, \"x\": 7}", "seed": "9660791046945896490", "semantic_fingerprint": "sha256:f7b259b5aaf65479d69927bfcb711230b890e6d328499377663af9494deeeb38", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001610", "prompt": "Calculate: -70 + (-54 + (-127) / (0 + (-67) / (-26)))", "solution_steps": ["Divide: -67 / (-26) = 67/26", "Add: 0 + 67/26 = 67/26", "Divide: -127 / (67/26) = -3302/67", "Add: -54 + (-3302/67) = -6920/67", "Add: -70 + (-6920/67) = -11610/67"], "final_answer": "-11610/67", "answer_type": "rational", "kind": "expression", "math_text": "-70 + (-54 + (-127) / (0 + (-67) / (-26)))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ n (/ n (+ n (/ n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": -54, \"c\": -127, \"d\": 0, \"e\": -67, \"f\": -26}", "seed": "10102151900467837634", "semantic_fingerprint": "sha256:351132e7e014722f3633b166fa17db06cacef884fd9f1cf58673a3bb2a00a007", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001611", "prompt": "Calculate: 0 * (-17) * (-556) + 83 / 50", "solution_steps": ["Multiply: 0 * (-17) = 0", "Multiply: 0 * (-556) = 0", "Divide: 83 / 50 = 83/50", "Add: 0 + 83/50 = 83/50"], "final_answer": "83/50", "answer_type": "rational", "kind": "expression", "math_text": "0 * (-17) * (-556) + 83 / 50", "variable": null, "family": "expression_4op", "shape": "(+ (* (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -17, \"c\": -556, \"d\": 83, \"e\": 50}", "seed": "4229444130595474853", "semantic_fingerprint": "sha256:b654411b19bcf9aaf931e9ee74e01a99ae8f75f71b47455529f9eac971ada696", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001612", "prompt": "Solve for x: 12(x - 10) + 4 = -3(x + 6) - 68", "solution_steps": ["Expand: 12x - 120 + 4 = -3(x + 6) - 68", "Expand: 12x - 120 + 4 = -3x - 18 - 68", "Combine constants: 12x - 116 = -3x - 18 - 68", "Combine constants: 12x - 116 = -3x - 86", "Add 3x to both sides: 15x - 116 = -86", "Add 116 to both sides: 15x = 30", "Divide both sides by 15: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 10) + 4 = -3(x + 6) - 68", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 10, \"c\": 4, \"d\": -3, \"e\": 6, \"g\": -68, \"x\": 2}", "seed": "520426081864758129", "semantic_fingerprint": "sha256:eda5c30c7feac22e8a8ee430c9f5ab48505cec44d07a4a9ddd00249174392232", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001613", "prompt": "Solve for x: x - 7 = 4(x - 7) + 74", "solution_steps": ["Expand: x - 7 = 4x - 28 + 74", "Combine constants: x - 7 = 4x + 46", "Subtract 4x from both sides: -3x - 7 = 46", "Add 7 to both sides: -3x = 53", "Divide both sides by -3: x = -53/3"], "final_answer": "-53/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 7 = 4(x - 7) + 74", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 7, \"d\": 74}", "seed": "3148160858407237054", "semantic_fingerprint": "sha256:c37f009ba4cdf79cc5af7b62f373a750353315870261a33df318282ffc1909c5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001614", "prompt": "Calculate: 13 * (-8) * (437 / (-84) * (-23) - (-1))", "solution_steps": ["Multiply: 13 * (-8) = -104", "Divide: 437 / (-84) = -437/84", "Multiply: (-437/84) * (-23) = 10051/84", "Subtract: 10051/84 - (-1) = 10135/84", "Multiply: -104 * (10135/84) = -263510/21"], "final_answer": "-263510/21", "answer_type": "rational", "kind": "expression", "math_text": "13 * (-8) * (437 / (-84) * (-23) - (-1))", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (- (* (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -8, \"c\": 437, \"d\": -84, \"e\": -23, \"f\": -1}", "seed": "409515593614389125", "semantic_fingerprint": "sha256:da872e2eedc21b283c10817a0823c11eb21166c9763a84cbc4e4b6d424194f37", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001615", "prompt": "Solve for x: 9(x + 1) + 5 = 7(x + 51) - 345", "solution_steps": ["Expand: 9x + 9 + 5 = 7(x + 51) - 345", "Expand: 9x + 9 + 5 = 7x + 357 - 345", "Combine constants: 9x + 14 = 7x + 357 - 345", "Combine constants: 9x + 14 = 7x + 12", "Subtract 7x from both sides: 2x + 14 = 12", "Subtract 14 from both sides: 2x = -2", "Divide both sides by 2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 1) + 5 = 7(x + 51) - 345", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 1, \"c\": 5, \"d\": 7, \"e\": 51, \"g\": -345, \"x\": -1}", "seed": "12871607216246547515", "semantic_fingerprint": "sha256:74ac26fdb3796b1ccc60583a6f78b7d1935f5f4f376f4cc0740b8819ddb93b5c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001616", "prompt": "Solve for x: 9(x - 11) - 211 = 5(x - 46)", "solution_steps": ["Expand: 9x - 99 - 211 = 5(x - 46)", "Expand: 9x - 99 - 211 = 5x - 230", "Combine constants: 9x - 310 = 5x - 230", "Subtract 5x from both sides: 4x - 310 = -230", "Add 310 to both sides: 4x = 80", "Divide both sides by 4: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 11) - 211 = 5(x - 46)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 11, \"c\": 5, \"d\": 46, \"f\": -211, \"x\": 20}", "seed": "345531081253308630", "semantic_fingerprint": "sha256:ed2b3ace7ac8131456bc5cd9919f953cc383cb5d8a98598d68cb87bdfb8cfba4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001617", "prompt": "What value of x satisfies 6(x - 66) + 9 = -5(x + 9) - 364?", "solution_steps": ["Expand: 6x - 396 + 9 = -5(x + 9) - 364", "Expand: 6x - 396 + 9 = -5x - 45 - 364", "Combine constants: 6x - 387 = -5x - 45 - 364", "Combine constants: 6x - 387 = -5x - 409", "Add 5x to both sides: 11x - 387 = -409", "Add 387 to both sides: 11x = -22", "Divide both sides by 11: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 66) + 9 = -5(x + 9) - 364", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 66, \"c\": 9, \"d\": -5, \"e\": 9, \"g\": -364, \"x\": -2}", "seed": "12186711215751355013", "semantic_fingerprint": "sha256:3e974fd2ff7a2ebcacd8d6437023e280fc2459de8e9422f5819335d7f6f97cd5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001618", "prompt": "Compute: 3 + 95 - (66 + 1)", "solution_steps": ["Add: 3 + 95 = 98", "Add: 66 + 1 = 67", "Subtract: 98 - 67 = 31"], "final_answer": "31", "answer_type": "integer", "kind": "expression", "math_text": "3 + 95 - (66 + 1)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 95, \"c\": 66, \"d\": 1}", "seed": "4942423522087682384", "semantic_fingerprint": "sha256:59f509f8719eb3b2c9435116e5b62cf9a29e52e202bdb0a3ee4d0d3c97486bbe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001619", "prompt": "Calculate: -7 + 87 / 7 / (-60)", "solution_steps": ["Divide: 87 / 7 = 87/7", "Divide: (87/7) / (-60) = -29/140", "Add: -7 + (-29/140) = -1009/140"], "final_answer": "-1009/140", "answer_type": "rational", "kind": "expression", "math_text": "-7 + 87 / 7 / (-60)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 87, \"c\": 7, \"d\": -60}", "seed": "15372164401842497173", "semantic_fingerprint": "sha256:5d78db148f63130f20651e9387e0e9a14b0f9c0f6bcdca19694a98d5485b4cc1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001620", "prompt": "Find x: 4(x - 33) + 616 = -12(x - 15)", "solution_steps": ["Expand: 4x - 132 + 616 = -12(x - 15)", "Expand: 4x - 132 + 616 = -12x + 180", "Combine constants: 4x + 484 = -12x + 180", "Add 12x to both sides: 16x + 484 = 180", "Subtract 484 from both sides: 16x = -304", "Divide both sides by 16: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 33) + 616 = -12(x - 15)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 33, \"c\": -12, \"d\": 15, \"f\": 616, \"x\": -19}", "seed": "7950420156521761399", "semantic_fingerprint": "sha256:2cbae9b46e8301c51c19dcbe4abed26d7fe9bb896e72387946ed7eed76c9ad70", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001621", "prompt": "Solve the equation 2(x - 29) - 1 = -2(x - 3) - 37 for x.", "solution_steps": ["Expand: 2x - 58 - 1 = -2(x - 3) - 37", "Expand: 2x - 58 - 1 = -2x + 6 - 37", "Combine constants: 2x - 59 = -2x + 6 - 37", "Combine constants: 2x - 59 = -2x - 31", "Add 2x to both sides: 4x - 59 = -31", "Add 59 to both sides: 4x = 28", "Divide both sides by 4: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 29) - 1 = -2(x - 3) - 37", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 29, \"c\": 1, \"d\": -2, \"e\": 3, \"g\": -37, \"x\": 7}", "seed": "1140351808958018477", "semantic_fingerprint": "sha256:0410d7e9e62598af4753a895e4e50b3b50935adf314172fa0bc978e1db847956", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001622", "prompt": "What is (-35 + 5 + (-19)) * (-616)?", "solution_steps": ["Add: -35 + 5 = -30", "Add: -30 + (-19) = -49", "Multiply: -49 * (-616) = 30184"], "final_answer": "30184", "answer_type": "integer", "kind": "expression", "math_text": "(-35 + 5 + (-19)) * (-616)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": 5, \"c\": -19, \"d\": -616}", "seed": "16840575061788082711", "semantic_fingerprint": "sha256:1b182378131b6ca2adebcd2fb5616b88d8aad5a8b32fb58e6729d4f89fc142de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001623", "prompt": "Solve for x: -5(x - 69) + 7 = 4x + 523", "solution_steps": ["Expand: -5x + 345 + 7 = 4x + 523", "Combine constants: -5x + 352 = 4x + 523", "Subtract 4x from both sides: -9x + 352 = 523", "Subtract 352 from both sides: -9x = 171", "Divide both sides by -9: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 69) + 7 = 4x + 523", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 69, \"c\": 7, \"d\": 4, \"f\": 523, \"x\": -19}", "seed": "6209900843761458892", "semantic_fingerprint": "sha256:c6f1d6f705dfadb7ef61f775e48916a7d1628af6ee1d5212cc701893195fd1bb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001624", "prompt": "What value of x satisfies 2(x + 31) + 4 = 9(x + 32) - 229?", "solution_steps": ["Expand: 2x + 62 + 4 = 9(x + 32) - 229", "Expand: 2x + 62 + 4 = 9x + 288 - 229", "Combine constants: 2x + 66 = 9x + 288 - 229", "Combine constants: 2x + 66 = 9x + 59", "Subtract 9x from both sides: -7x + 66 = 59", "Subtract 66 from both sides: -7x = -7", "Divide both sides by -7: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 31) + 4 = 9(x + 32) - 229", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 31, \"c\": 4, \"d\": 9, \"e\": 32, \"g\": -229, \"x\": 1}", "seed": "12053235486997688867", "semantic_fingerprint": "sha256:197e9af6c4c8765136abc0565476765074ca00e2214ee65ed9d736947e5c7879", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001625", "prompt": "Find x: -11(x - 8) + 41 = 3(x + 363) - 736", "solution_steps": ["Expand: -11x + 88 + 41 = 3(x + 363) - 736", "Expand: -11x + 88 + 41 = 3x + 1089 - 736", "Combine constants: -11x + 129 = 3x + 1089 - 736", "Combine constants: -11x + 129 = 3x + 353", "Subtract 3x from both sides: -14x + 129 = 353", "Subtract 129 from both sides: -14x = 224", "Divide both sides by -14: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 8) + 41 = 3(x + 363) - 736", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 8, \"c\": 41, \"d\": 3, \"e\": 363, \"g\": -736, \"x\": -16}", "seed": "4686555023469000726", "semantic_fingerprint": "sha256:e2f2e26db649b208256285d2ccd0d535dbbfb5027a31a61dfcf84ecc7e24dd34", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001626", "prompt": "What value of x satisfies 9(x - 3) - 4 = 5(x - 60) - 60?", "solution_steps": ["Expand: 9x - 27 - 4 = 5(x - 60) - 60", "Expand: 9x - 27 - 4 = 5x - 300 - 60", "Combine constants: 9x - 31 = 5x - 300 - 60", "Combine constants: 9x - 31 = 5x - 360", "Subtract 5x from both sides: 4x - 31 = -360", "Add 31 to both sides: 4x = -329", "Divide both sides by 4: x = -329/4"], "final_answer": "-329/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 3) - 4 = 5(x - 60) - 60", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 4, \"d\": 5, \"e\": 60, \"f\": 60}", "seed": "18280464091459367409", "semantic_fingerprint": "sha256:bd8c7f5849b22b72bc5c172787027e84a8b6286b77fefb7047c465639893e6e2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001627", "prompt": "Compute: -70 * ((-3 + (-2)) / (520 / (-9)) - 5)", "solution_steps": ["Add: -3 + (-2) = -5", "Divide: 520 / (-9) = -520/9", "Divide: -5 / (-520/9) = 9/104", "Subtract: 9/104 - 5 = -511/104", "Multiply: -70 * (-511/104) = 17885/52"], "final_answer": "17885/52", "answer_type": "rational", "kind": "expression", "math_text": "-70 * ((-3 + (-2)) / (520 / (-9)) - 5)", "variable": null, "family": "expression_5op", "shape": "(* n (- (/ (+ n n) (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": -3, \"c\": -2, \"d\": 520, \"e\": -9, \"f\": 5}", "seed": "1191875775575337817", "semantic_fingerprint": "sha256:f0d18f376095bd4ca42baf492b67147beef7b50eac8ec309dcce02d1558aa6f7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001628", "prompt": "Compute: 57 - (82 + (-459)) + 1", "solution_steps": ["Add: 82 + (-459) = -377", "Subtract: 57 - (-377) = 434", "Add: 434 + 1 = 435"], "final_answer": "435", "answer_type": "integer", "kind": "expression", "math_text": "57 - (82 + (-459)) + 1", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": 82, \"c\": -459, \"d\": 1}", "seed": "17621456855405428181", "semantic_fingerprint": "sha256:475e6deb5a172d9915952dcec8b0d3815f604697932d8c18244cbe42a8088e47", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001629", "prompt": "Evaluate: -807 - 19 - (-62) * (9 + 65 - (-99))", "solution_steps": ["Subtract: -807 - 19 = -826", "Add: 9 + 65 = 74", "Subtract: 74 - (-99) = 173", "Multiply: -62 * 173 = -10726", "Subtract: -826 - (-10726) = 9900"], "final_answer": "9900", "answer_type": "integer", "kind": "expression", "math_text": "-807 - 19 - (-62) * (9 + 65 - (-99))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (* n (- (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -807, \"b\": 19, \"c\": -62, \"d\": 9, \"e\": 65, \"f\": -99}", "seed": "2070880322609541821", "semantic_fingerprint": "sha256:15633a7831fedf562ad5e6ca1b7bbbac1bbd74099c9a3fc7b6b1106c568042a6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001630", "prompt": "What value of x satisfies 2(x - 8) + 50 = 8(x - 4)?", "solution_steps": ["Expand: 2x - 16 + 50 = 8(x - 4)", "Expand: 2x - 16 + 50 = 8x - 32", "Combine constants: 2x + 34 = 8x - 32", "Subtract 8x from both sides: -6x + 34 = -32", "Subtract 34 from both sides: -6x = -66", "Divide both sides by -6: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 8) + 50 = 8(x - 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 8, \"d\": 4, \"f\": 50, \"x\": 11}", "seed": "10565135641410699498", "semantic_fingerprint": "sha256:6eb762985fe564609a06dc0b2dafe0074641193e18753e3ceb4ddc33bf82f7ce", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001631", "prompt": "Evaluate: 9 - (-12) / (533 / 83)", "solution_steps": ["Divide: 533 / 83 = 533/83", "Divide: -12 / (533/83) = -996/533", "Subtract: 9 - (-996/533) = 5793/533"], "final_answer": "5793/533", "answer_type": "rational", "kind": "expression", "math_text": "9 - (-12) / (533 / 83)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -12, \"c\": 533, \"d\": 83}", "seed": "14770113474770407588", "semantic_fingerprint": "sha256:bbb9e375358ee2da96ba634edd98b3ea0b2962f712b0d675c34b587e5344fe07", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001632", "prompt": "Find x: -5(x - 9) + 37 = -7x + 2", "solution_steps": ["Expand: -5x + 45 + 37 = -7x + 2", "Combine constants: -5x + 82 = -7x + 2", "Add 7x to both sides: 2x + 82 = 2", "Subtract 82 from both sides: 2x = -80", "Divide both sides by 2: x = -40"], "final_answer": "-40", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 9) + 37 = -7x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 9, \"c\": 37, \"d\": -7, \"e\": 2}", "seed": "9303641409561539088", "semantic_fingerprint": "sha256:623a877fffe3d5069c311a9e1e100606dcb402aeb7e616360849f510d219ea88", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001633", "prompt": "What value of x satisfies 8(x - 376) + 83 = -5(x + 392) - 991?", "solution_steps": ["Expand: 8x - 3008 + 83 = -5(x + 392) - 991", "Expand: 8x - 3008 + 83 = -5x - 1960 - 991", "Combine constants: 8x - 2925 = -5x - 1960 - 991", "Combine constants: 8x - 2925 = -5x - 2951", "Add 5x to both sides: 13x - 2925 = -2951", "Add 2925 to both sides: 13x = -26", "Divide both sides by 13: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 376) + 83 = -5(x + 392) - 991", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 376, \"c\": 83, \"d\": -5, \"e\": 392, \"g\": -991, \"x\": -2}", "seed": "6267319556001383429", "semantic_fingerprint": "sha256:d7fd22d94c4f51aacbbba5ce974425bd50bc0203f79d435f0b6619b06ea92a79", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001634", "prompt": "What value of x satisfies 8(x - 9) - 525 = 10(x - 3)?", "solution_steps": ["Expand: 8x - 72 - 525 = 10(x - 3)", "Expand: 8x - 72 - 525 = 10x - 30", "Combine constants: 8x - 597 = 10x - 30", "Subtract 10x from both sides: -2x - 597 = -30", "Add 597 to both sides: -2x = 567", "Divide both sides by -2: x = -567/2"], "final_answer": "-567/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 9) - 525 = 10(x - 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 525, \"d\": 10, \"e\": 3}", "seed": "1100304468009294947", "semantic_fingerprint": "sha256:636260e728bd2e6472c93786a55b028503b71e7e02bdaf2fa42f776fe15f1c90", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001635", "prompt": "Evaluate: (40 + (-754) * 1) / (35 / (-242 - (-1)))", "solution_steps": ["Multiply: -754 * 1 = -754", "Add: 40 + (-754) = -714", "Subtract: -242 - (-1) = -241", "Divide: 35 / (-241) = -35/241", "Divide: -714 / (-35/241) = 24582/5"], "final_answer": "24582/5", "answer_type": "rational", "kind": "expression", "math_text": "(40 + (-754) * 1) / (35 / (-242 - (-1)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (* n n)) (/ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -754, \"c\": 1, \"d\": 35, \"e\": -242, \"f\": -1}", "seed": "2867329163419282399", "semantic_fingerprint": "sha256:b0308386619eae875aa1c043949b5af828cd3b53ca0ccfc9f864082468e8fa9d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001636", "prompt": "Evaluate: 6 - (180 * 28 + (-6))", "solution_steps": ["Multiply: 180 * 28 = 5040", "Add: 5040 + (-6) = 5034", "Subtract: 6 - 5034 = -5028"], "final_answer": "-5028", "answer_type": "integer", "kind": "expression", "math_text": "6 - (180 * 28 + (-6))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 180, \"c\": 28, \"d\": -6}", "seed": "18056445621104419206", "semantic_fingerprint": "sha256:c10fbff164854d5b921c51ca0107c6f754da4d7e5ac1574b6fa24d9332c8b088", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001637", "prompt": "Solve for x: -10(x + 3) + 9 = 11(x + 49) - 329", "solution_steps": ["Expand: -10x - 30 + 9 = 11(x + 49) - 329", "Expand: -10x - 30 + 9 = 11x + 539 - 329", "Combine constants: -10x - 21 = 11x + 539 - 329", "Combine constants: -10x - 21 = 11x + 210", "Subtract 11x from both sides: -21x - 21 = 210", "Add 21 to both sides: -21x = 231", "Divide both sides by -21: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 3) + 9 = 11(x + 49) - 329", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 3, \"c\": 9, \"d\": 11, \"e\": 49, \"g\": -329, \"x\": -11}", "seed": "16757964256396323062", "semantic_fingerprint": "sha256:68d63725951bbe5194d2392af3fad6ea049e939d0e3df8a83cc8049b63d29854", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001638", "prompt": "What is 2 / 498 + (503 + (-31) + (70 + 15))?", "solution_steps": ["Divide: 2 / 498 = 1/249", "Add: 503 + (-31) = 472", "Add: 70 + 15 = 85", "Add: 472 + 85 = 557", "Add: 1/249 + 557 = 138694/249"], "final_answer": "138694/249", "answer_type": "rational", "kind": "expression", "math_text": "2 / 498 + (503 + (-31) + (70 + 15))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (+ (+ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 498, \"c\": 503, \"d\": -31, \"e\": 70, \"f\": 15}", "seed": "6138521926829089459", "semantic_fingerprint": "sha256:fbe8d6ea9424c0a005800546308caafb4094e5d2da06d02057ec671388c99558", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001639", "prompt": "Find x: 8(x - 22) - 8 = -3(x - 81) - 636", "solution_steps": ["Expand: 8x - 176 - 8 = -3(x - 81) - 636", "Expand: 8x - 176 - 8 = -3x + 243 - 636", "Combine constants: 8x - 184 = -3x + 243 - 636", "Combine constants: 8x - 184 = -3x - 393", "Add 3x to both sides: 11x - 184 = -393", "Add 184 to both sides: 11x = -209", "Divide both sides by 11: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 22) - 8 = -3(x - 81) - 636", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 22, \"c\": 8, \"d\": -3, \"e\": 81, \"g\": -636, \"x\": -19}", "seed": "6408376044424120141", "semantic_fingerprint": "sha256:1cabc64fcae1792890942a2a7c379b8d93309eb7c7ae47168d9704e2b7f6319f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001640", "prompt": "Find x: 6(x - 614) + 499 = 9x + 69", "solution_steps": ["Expand: 6x - 3684 + 499 = 9x + 69", "Combine constants: 6x - 3185 = 9x + 69", "Subtract 9x from both sides: -3x - 3185 = 69", "Add 3185 to both sides: -3x = 3254", "Divide both sides by -3: x = -3254/3"], "final_answer": "-3254/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 614) + 499 = 9x + 69", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 614, \"c\": 499, \"d\": 9, \"e\": 69}", "seed": "1860952568700913158", "semantic_fingerprint": "sha256:348a0448dfd9cd802c1de41172fdf04c6ecee1ae78f9aa83a8b412e0d8eb9b9e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001641", "prompt": "Evaluate: -487 / (-69) - 862 - (-662)", "solution_steps": ["Divide: -487 / (-69) = 487/69", "Subtract: 487/69 - 862 = -58991/69", "Subtract: -58991/69 - (-662) = -13313/69"], "final_answer": "-13313/69", "answer_type": "rational", "kind": "expression", "math_text": "-487 / (-69) - 862 - (-662)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -487, \"b\": -69, \"c\": 862, \"d\": -662}", "seed": "12234997470474890353", "semantic_fingerprint": "sha256:9a1d1e4c0b1367b525925b6b54bb53189eb83d7f56c9d9ee0f0088b4c0dc8bc4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001642", "prompt": "Solve for x: x - 13 = -6(x - 77) + 1", "solution_steps": ["Expand: x - 13 = -6x + 462 + 1", "Combine constants: x - 13 = -6x + 463", "Add 6x to both sides: 7x - 13 = 463", "Add 13 to both sides: 7x = 476", "Divide both sides by 7: x = 68"], "final_answer": "68", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 13 = -6(x - 77) + 1", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -6, \"c\": 77, \"d\": 1}", "seed": "3855849696054433613", "semantic_fingerprint": "sha256:c8f093aadc146f7ce0bb03eb72143022c513b53c86d75db3ad2ec78e336c4ffc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001643", "prompt": "What is (16 - 220) * (-2 / (-2))?", "solution_steps": ["Subtract: 16 - 220 = -204", "Divide: -2 / (-2) = 1", "Multiply: -204 * 1 = -204"], "final_answer": "-204", "answer_type": "integer", "kind": "expression", "math_text": "(16 - 220) * (-2 / (-2))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 220, \"c\": -2, \"d\": -2}", "seed": "17693158992069581389", "semantic_fingerprint": "sha256:ccb44b86e10d2a106c130df9d3a9e908cea1a9de573bdcb427c49a0d6a1afca0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001644", "prompt": "Compute: -82 * (-60) - 8 - (-4) * 31", "solution_steps": ["Multiply: -82 * (-60) = 4920", "Subtract: 4920 - 8 = 4912", "Multiply: -4 * 31 = -124", "Subtract: 4912 - (-124) = 5036"], "final_answer": "5036", "answer_type": "integer", "kind": "expression", "math_text": "-82 * (-60) - 8 - (-4) * 31", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": -60, \"c\": 8, \"d\": -4, \"e\": 31}", "seed": "9219387837666493471", "semantic_fingerprint": "sha256:83152bf5e7168aa3d8636c3dd8ba002f9a3f055eefc1b624b1d0fd3ec7adb670", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001645", "prompt": "What is -455 / (81 / (-4 * 4))?", "solution_steps": ["Multiply: -4 * 4 = -16", "Divide: 81 / (-16) = -81/16", "Divide: -455 / (-81/16) = 7280/81"], "final_answer": "7280/81", "answer_type": "rational", "kind": "expression", "math_text": "-455 / (81 / (-4 * 4))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -455, \"b\": 81, \"c\": -4, \"d\": 4}", "seed": "8152985544719015148", "semantic_fingerprint": "sha256:dacd5aed8b3dff8bc3427fde9f4b7aad2aa56a651edef57b9c3daea144094201", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001646", "prompt": "Find x: 11(x - 66) = 6x - 716", "solution_steps": ["Expand: 11x - 726 = 6x - 716", "Subtract 6x from both sides: 5x - 726 = -716", "Add 726 to both sides: 5x = 10", "Divide both sides by 5: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 66) = 6x - 716", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 66, \"c\": 6, \"e\": -716, \"x\": 2}", "seed": "5123675554215513385", "semantic_fingerprint": "sha256:27f22eeb5d272e13bb68c4a9cc2ffd192f72b39055e2ad89566268d4f7f9908d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001647", "prompt": "What is (353 + 118) / (2 / (-77))?", "solution_steps": ["Add: 353 + 118 = 471", "Divide: 2 / (-77) = -2/77", "Divide: 471 / (-2/77) = -36267/2"], "final_answer": "-36267/2", "answer_type": "rational", "kind": "expression", "math_text": "(353 + 118) / (2 / (-77))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 353, \"b\": 118, \"c\": 2, \"d\": -77}", "seed": "734740758506690266", "semantic_fingerprint": "sha256:4cae62bf99c4b7ab74702e9ec6856dbfa256562dd3de4b9b42a64ad352806d32", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001648", "prompt": "Solve for x: -11(x - 1) + 197 = -2(x - 50)", "solution_steps": ["Expand: -11x + 11 + 197 = -2(x - 50)", "Expand: -11x + 11 + 197 = -2x + 100", "Combine constants: -11x + 208 = -2x + 100", "Add 2x to both sides: -9x + 208 = 100", "Subtract 208 from both sides: -9x = -108", "Divide both sides by -9: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 1) + 197 = -2(x - 50)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 1, \"c\": -2, \"d\": 50, \"f\": 197, \"x\": 12}", "seed": "18041338952013488211", "semantic_fingerprint": "sha256:3d8bc3e5e30b5887742538bb10cfaddd30c2ee8260b9e770bc07f2d17509f437", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001649", "prompt": "Compute: (-5 - 44) * (64 / (-356) / (-444))", "solution_steps": ["Subtract: -5 - 44 = -49", "Divide: 64 / (-356) = -16/89", "Divide: (-16/89) / (-444) = 4/9879", "Multiply: -49 * (4/9879) = -196/9879"], "final_answer": "-196/9879", "answer_type": "rational", "kind": "expression", "math_text": "(-5 - 44) * (64 / (-356) / (-444))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 44, \"c\": 64, \"d\": -356, \"e\": -444}", "seed": "11141025221790041522", "semantic_fingerprint": "sha256:3e0eb5e2186d6a9749c6d07cb712a55314db5f8d35dbc5863721b924b840705c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001650", "prompt": "Evaluate: -56 / (-7 * 596) - (-7)", "solution_steps": ["Multiply: -7 * 596 = -4172", "Divide: -56 / (-4172) = 2/149", "Subtract: 2/149 - (-7) = 1045/149"], "final_answer": "1045/149", "answer_type": "rational", "kind": "expression", "math_text": "-56 / (-7 * 596) - (-7)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": -7, \"c\": 596, \"d\": -7}", "seed": "16866031978353879687", "semantic_fingerprint": "sha256:779d869c603736878a7d7cf0434b012b2a372a5b80299203a5490c6ad4980157", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001651", "prompt": "Calculate: (-33 + (-96) + 55) * (-92)", "solution_steps": ["Add: -33 + (-96) = -129", "Add: -129 + 55 = -74", "Multiply: -74 * (-92) = 6808"], "final_answer": "6808", "answer_type": "integer", "kind": "expression", "math_text": "(-33 + (-96) + 55) * (-92)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": -96, \"c\": 55, \"d\": -92}", "seed": "11924765528777607075", "semantic_fingerprint": "sha256:6e7b3e0596897e30bf34e552745d71385af38e5901ca73cbe2d64e9a350f065b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001652", "prompt": "Find x: -11(x - 14) + 5 = 2x + 133", "solution_steps": ["Expand: -11x + 154 + 5 = 2x + 133", "Combine constants: -11x + 159 = 2x + 133", "Subtract 2x from both sides: -13x + 159 = 133", "Subtract 159 from both sides: -13x = -26", "Divide both sides by -13: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 14) + 5 = 2x + 133", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 14, \"c\": 5, \"d\": 2, \"f\": 133, \"x\": 2}", "seed": "1891114777201663742", "semantic_fingerprint": "sha256:40ad1925c41f0e110fc30e45c27ac7668f38ccc1aea9895d0f47c45439a42563", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001653", "prompt": "Calculate: -1 * (-41) * 73 / (-25 + 70)", "solution_steps": ["Multiply: -1 * (-41) = 41", "Multiply: 41 * 73 = 2993", "Add: -25 + 70 = 45", "Divide: 2993 / 45 = 2993/45"], "final_answer": "2993/45", "answer_type": "rational", "kind": "expression", "math_text": "-1 * (-41) * 73 / (-25 + 70)", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -41, \"c\": 73, \"d\": -25, \"e\": 70}", "seed": "16613757138158846434", "semantic_fingerprint": "sha256:8375578c965dc9d6e98634e839879cb737ecf23a0da355d8a51d65678adff653", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001654", "prompt": "What is (38 * (-835) - 728 * 78) / (84 / (-4))?", "solution_steps": ["Multiply: 38 * (-835) = -31730", "Multiply: 728 * 78 = 56784", "Subtract: -31730 - 56784 = -88514", "Divide: 84 / (-4) = -21", "Divide: -88514 / (-21) = 88514/21"], "final_answer": "88514/21", "answer_type": "rational", "kind": "expression", "math_text": "(38 * (-835) - 728 * 78) / (84 / (-4))", "variable": null, "family": "expression_5op", "shape": "(/ (- (* n n) (* n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": -835, \"c\": 728, \"d\": 78, \"e\": 84, \"f\": -4}", "seed": "18183916566289304909", "semantic_fingerprint": "sha256:02f651d87224b17e0028af96dacd194626905b1b5758729b2c99508a888746e3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001655", "prompt": "Solve for x: 8(x + 8) + 99 = 3(x + 379) - 964", "solution_steps": ["Expand: 8x + 64 + 99 = 3(x + 379) - 964", "Expand: 8x + 64 + 99 = 3x + 1137 - 964", "Combine constants: 8x + 163 = 3x + 1137 - 964", "Combine constants: 8x + 163 = 3x + 173", "Subtract 3x from both sides: 5x + 163 = 173", "Subtract 163 from both sides: 5x = 10", "Divide both sides by 5: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 8) + 99 = 3(x + 379) - 964", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": 99, \"d\": 3, \"e\": 379, \"g\": -964, \"x\": 2}", "seed": "12277028726117206347", "semantic_fingerprint": "sha256:4e43f1fbeba9217c99d3bdbc2cf8849dc0d1d1a1d82552a74d641fea1d8bc3fe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001656", "prompt": "Solve for x: 5(x - 80) = 2x - 400", "solution_steps": ["Expand: 5x - 400 = 2x - 400", "Subtract 2x from both sides: 3x - 400 = -400", "Add 400 to both sides: 3x = 0", "Divide both sides by 3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 80) = 2x - 400", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 80, \"c\": 2, \"e\": -400, \"x\": 0}", "seed": "7495552568911482962", "semantic_fingerprint": "sha256:a6bbd49ab696d5f88d0c972170cca9e29876d74ff58f31d33e7b888f1ea9baf3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001657", "prompt": "Find x: 7(x - 5) + 12 = 4(x - 8)", "solution_steps": ["Expand: 7x - 35 + 12 = 4(x - 8)", "Expand: 7x - 35 + 12 = 4x - 32", "Combine constants: 7x - 23 = 4x - 32", "Subtract 4x from both sides: 3x - 23 = -32", "Add 23 to both sides: 3x = -9", "Divide both sides by 3: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 5) + 12 = 4(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 4, \"d\": 8, \"f\": 12, \"x\": -3}", "seed": "9383702586368579445", "semantic_fingerprint": "sha256:0e817911daf50665c7f990d503d119a54a82f96b8770ee73e30a24d5aca7bb5b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001658", "prompt": "Compute: (3 + (-2)) / (6 / 9)", "solution_steps": ["Add: 3 + (-2) = 1", "Divide: 6 / 9 = 2/3", "Divide: 1 / (2/3) = 3/2"], "final_answer": "3/2", "answer_type": "rational", "kind": "expression", "math_text": "(3 + (-2)) / (6 / 9)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -2, \"c\": 6, \"d\": 9}", "seed": "5364572218970917155", "semantic_fingerprint": "sha256:4993cb1ad0373cf6f1c31a76e3d74fba9b6fd2fc82ddeb4fd05c5a246341bed2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001659", "prompt": "Evaluate: (607 * (-12) + 63) * 0", "solution_steps": ["Multiply: 607 * (-12) = -7284", "Add: -7284 + 63 = -7221", "Multiply: -7221 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(607 * (-12) + 63) * 0", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 607, \"b\": -12, \"c\": 63, \"d\": 0}", "seed": "4887303848624258357", "semantic_fingerprint": "sha256:66847c1e47aab83b2cfb0f9a870c1500a1127064e3216c1a09dc53ce9bcfc795", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001660", "prompt": "What value of x satisfies 4(x - 4) - 6 = 6(x - 2)?", "solution_steps": ["Expand: 4x - 16 - 6 = 6(x - 2)", "Expand: 4x - 16 - 6 = 6x - 12", "Combine constants: 4x - 22 = 6x - 12", "Subtract 6x from both sides: -2x - 22 = -12", "Add 22 to both sides: -2x = 10", "Divide both sides by -2: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 4) - 6 = 6(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 4, \"c\": 6, \"d\": 2, \"f\": -6, \"x\": -5}", "seed": "15885695052232088385", "semantic_fingerprint": "sha256:8785451e9881ff8537c3ca9a275df7390d813733bbeda8acdda6eacb82e5a6ff", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001661", "prompt": "Evaluate: 49 - (-94 - (0 - 645))", "solution_steps": ["Subtract: 0 - 645 = -645", "Subtract: -94 - (-645) = 551", "Subtract: 49 - 551 = -502"], "final_answer": "-502", "answer_type": "integer", "kind": "expression", "math_text": "49 - (-94 - (0 - 645))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": -94, \"c\": 0, \"d\": 645}", "seed": "16941640206280355142", "semantic_fingerprint": "sha256:5f44442d483385b627dd4e59e42c243245a96a475ce446f853de8dae8130738f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001662", "prompt": "Evaluate: 0 * (-52) / (-99) / 24", "solution_steps": ["Multiply: 0 * (-52) = 0", "Divide: 0 / (-99) = 0", "Divide: 0 / 24 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-52) / (-99) / 24", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -52, \"c\": -99, \"d\": 24}", "seed": "1843123376185200845", "semantic_fingerprint": "sha256:deb58419f15ad3a6b89b58c98adf04d358f30ec9512ea1ae6f0d9dad46470577", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001663", "prompt": "Evaluate: (47 - 98) * 80 * 8", "solution_steps": ["Subtract: 47 - 98 = -51", "Multiply: -51 * 80 = -4080", "Multiply: -4080 * 8 = -32640"], "final_answer": "-32640", "answer_type": "integer", "kind": "expression", "math_text": "(47 - 98) * 80 * 8", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": 98, \"c\": 80, \"d\": 8}", "seed": "8302772040696406278", "semantic_fingerprint": "sha256:5425f4097197fd4045d35e3f494da2a247d1d11d1c7b6831e26bd6f8b92f6eea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001664", "prompt": "Solve the equation 4(x + 52) - 533 = x - 343 for x.", "solution_steps": ["Expand: 4x + 208 - 533 = x - 343", "Combine constants: 4x - 325 = x - 343", "Subtract x from both sides: 3x - 325 = -343", "Add 325 to both sides: 3x = -18", "Divide both sides by 3: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 52) - 533 = x - 343", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 52, \"c\": 533, \"e\": -343, \"x\": -6}", "seed": "9655092945726286945", "semantic_fingerprint": "sha256:ff1159a1fa3063bb60f0485a2bf66c9f17b129fcb954befb1a9dddb784ed44d7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001665", "prompt": "Solve the equation -11(x - 5) + 184 = -8(x - 28) for x.", "solution_steps": ["Expand: -11x + 55 + 184 = -8(x - 28)", "Expand: -11x + 55 + 184 = -8x + 224", "Combine constants: -11x + 239 = -8x + 224", "Add 8x to both sides: -3x + 239 = 224", "Subtract 239 from both sides: -3x = -15", "Divide both sides by -3: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 5) + 184 = -8(x - 28)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 5, \"c\": -8, \"d\": 28, \"f\": 184, \"x\": 5}", "seed": "11912005650502701577", "semantic_fingerprint": "sha256:74b0c00970b58ed6f904c1a6aada5fc94e60d8e705d7925c15a3e5a1ea49cf0d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001666", "prompt": "Evaluate: 344 * 93 / (96 + (-83))", "solution_steps": ["Multiply: 344 * 93 = 31992", "Add: 96 + (-83) = 13", "Divide: 31992 / 13 = 31992/13"], "final_answer": "31992/13", "answer_type": "rational", "kind": "expression", "math_text": "344 * 93 / (96 + (-83))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 344, \"b\": 93, \"c\": 96, \"d\": -83}", "seed": "2847935788964527152", "semantic_fingerprint": "sha256:91047df74a5c6502433bd7cbdf5b46a4d9fc47867dea955e6f1cee89b42bb527", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001667", "prompt": "Calculate: -376 * (-39) / (-75 / (-23)) / 9", "solution_steps": ["Multiply: -376 * (-39) = 14664", "Divide: -75 / (-23) = 75/23", "Divide: 14664 / (75/23) = 112424/25", "Divide: (112424/25) / 9 = 112424/225"], "final_answer": "112424/225", "answer_type": "rational", "kind": "expression", "math_text": "-376 * (-39) / (-75 / (-23)) / 9", "variable": null, "family": "expression_4op", "shape": "(/ (/ (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -376, \"b\": -39, \"c\": -75, \"d\": -23, \"e\": 9}", "seed": "14415806505836340261", "semantic_fingerprint": "sha256:85454560fe00454b02e8b4733075df903c34fc55a318fd2dcdb0ccfe4aaa209b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001668", "prompt": "What value of x satisfies x - 5 = 4(x - 7) + 5?", "solution_steps": ["Expand: x - 5 = 4x - 28 + 5", "Combine constants: x - 5 = 4x - 23", "Subtract 4x from both sides: -3x - 5 = -23", "Add 5 to both sides: -3x = -18", "Divide both sides by -3: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5 = 4(x - 7) + 5", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 7, \"e\": 5, \"x\": 6}", "seed": "13812241846341887158", "semantic_fingerprint": "sha256:adf7bfde346bb0b5437567c035b7a908b9e04b6bff2df5f45504e478141aa8d5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001669", "prompt": "Calculate: -6 * (9 - (-31)) / (36 * (-7) / (-384))", "solution_steps": ["Subtract: 9 - (-31) = 40", "Multiply: -6 * 40 = -240", "Multiply: 36 * (-7) = -252", "Divide: -252 / (-384) = 21/32", "Divide: -240 / (21/32) = -2560/7"], "final_answer": "-2560/7", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (9 - (-31)) / (36 * (-7) / (-384))", "variable": null, "family": "expression_5op", "shape": "(/ (* n (- n n)) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 9, \"c\": -31, \"d\": 36, \"e\": -7, \"f\": -384}", "seed": "3463824787094273218", "semantic_fingerprint": "sha256:47625321e45d98cf1075cfde7cb88fbfedbdbbf244fdfab1b9690c25fee76dbb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001670", "prompt": "Evaluate: 2 - (982 + 664) + (-851)", "solution_steps": ["Add: 982 + 664 = 1646", "Subtract: 2 - 1646 = -1644", "Add: -1644 + (-851) = -2495"], "final_answer": "-2495", "answer_type": "integer", "kind": "expression", "math_text": "2 - (982 + 664) + (-851)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 982, \"c\": 664, \"d\": -851}", "seed": "16475245629374538474", "semantic_fingerprint": "sha256:8fb890177a4164d0c98789c5080d94dcc8ef37bcc84a496bb0b5ee6b109357d6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001671", "prompt": "Solve for x: 12(x + 520) + 494 = -12(x + 45) - 3", "solution_steps": ["Expand: 12x + 6240 + 494 = -12(x + 45) - 3", "Expand: 12x + 6240 + 494 = -12x - 540 - 3", "Combine constants: 12x + 6734 = -12x - 540 - 3", "Combine constants: 12x + 6734 = -12x - 543", "Add 12x to both sides: 24x + 6734 = -543", "Subtract 6734 from both sides: 24x = -7277", "Divide both sides by 24: x = -7277/24"], "final_answer": "-7277/24", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 520) + 494 = -12(x + 45) - 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 520, \"c\": 494, \"d\": -12, \"e\": 45, \"f\": 3}", "seed": "3236399694851785236", "semantic_fingerprint": "sha256:a4ae8b5b7c993e00a3f122bf3c2ec7bceb05400e602ba7518cefd4010059313d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001672", "prompt": "Solve for x: -8(x - 23) + 97 = 7x + 848", "solution_steps": ["Expand: -8x + 184 + 97 = 7x + 848", "Combine constants: -8x + 281 = 7x + 848", "Subtract 7x from both sides: -15x + 281 = 848", "Subtract 281 from both sides: -15x = 567", "Divide both sides by -15: x = -189/5"], "final_answer": "-189/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 23) + 97 = 7x + 848", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 23, \"c\": 97, \"d\": 7, \"e\": 848}", "seed": "1190205577979360590", "semantic_fingerprint": "sha256:5f9c8d28ac7fac70175f5e0f6672f8818d4981c633a8188d5381b323c55d8be6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001673", "prompt": "What value of x satisfies -10(x + 4) + 717 = 11(x + 84) - 16?", "solution_steps": ["Expand: -10x - 40 + 717 = 11(x + 84) - 16", "Expand: -10x - 40 + 717 = 11x + 924 - 16", "Combine constants: -10x + 677 = 11x + 924 - 16", "Combine constants: -10x + 677 = 11x + 908", "Subtract 11x from both sides: -21x + 677 = 908", "Subtract 677 from both sides: -21x = 231", "Divide both sides by -21: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 4) + 717 = 11(x + 84) - 16", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 4, \"c\": 717, \"d\": 11, \"e\": 84, \"g\": -16, \"x\": -11}", "seed": "11297239450315043179", "semantic_fingerprint": "sha256:0d09be01ce17073ecb965bc6938c4b67011bdf9af61bbf7a84febba341c3c62b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001674", "prompt": "Solve the equation 7(x - 29) + 6 = -4(x + 4) - 401 for x.", "solution_steps": ["Expand: 7x - 203 + 6 = -4(x + 4) - 401", "Expand: 7x - 203 + 6 = -4x - 16 - 401", "Combine constants: 7x - 197 = -4x - 16 - 401", "Combine constants: 7x - 197 = -4x - 417", "Add 4x to both sides: 11x - 197 = -417", "Add 197 to both sides: 11x = -220", "Divide both sides by 11: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 29) + 6 = -4(x + 4) - 401", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 29, \"c\": 6, \"d\": -4, \"e\": 4, \"g\": -401, \"x\": -20}", "seed": "18254565901888689521", "semantic_fingerprint": "sha256:b62e12d4348d11e99e71c527ebdeefa9da420c68dd8ab66c67452ffda5f6c39e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001675", "prompt": "What value of x satisfies x - 9 = -12(x - 12) + 94?", "solution_steps": ["Expand: x - 9 = -12x + 144 + 94", "Combine constants: x - 9 = -12x + 238", "Add 12x to both sides: 13x - 9 = 238", "Add 9 to both sides: 13x = 247", "Divide both sides by 13: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9 = -12(x - 12) + 94", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -12, \"c\": 12, \"d\": 94}", "seed": "16375704707822904263", "semantic_fingerprint": "sha256:a888d2a7ab487f80903f524b55b902f21dd1427e95e41f40bba1c51f8e160bb0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001676", "prompt": "Calculate: 8 * (-105 / 2) / (-6) * (-9 + 55)", "solution_steps": ["Divide: -105 / 2 = -105/2", "Multiply: 8 * (-105/2) = -420", "Divide: -420 / (-6) = 70", "Add: -9 + 55 = 46", "Multiply: 70 * 46 = 3220"], "final_answer": "3220", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-105 / 2) / (-6) * (-9 + 55)", "variable": null, "family": "expression_5op", "shape": "(* (/ (* n (/ n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -105, \"c\": 2, \"d\": -6, \"e\": -9, \"f\": 55}", "seed": "8694811735073344546", "semantic_fingerprint": "sha256:c12294719510c151e9930de6ad8d61ccb594783dae542fb3512eaa38df13e769", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001677", "prompt": "Compute: (34 - 62 + 70) * (-23)", "solution_steps": ["Subtract: 34 - 62 = -28", "Add: -28 + 70 = 42", "Multiply: 42 * (-23) = -966"], "final_answer": "-966", "answer_type": "integer", "kind": "expression", "math_text": "(34 - 62 + 70) * (-23)", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": 62, \"c\": 70, \"d\": -23}", "seed": "2078268468727265788", "semantic_fingerprint": "sha256:4aad8f96151ec6857af57e34f87ad5a3402e0ee42ed6a65dfd22b726b715675d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001678", "prompt": "Find x: x - 7 = 10(x - 9) + 209", "solution_steps": ["Expand: x - 7 = 10x - 90 + 209", "Combine constants: x - 7 = 10x + 119", "Subtract 10x from both sides: -9x - 7 = 119", "Add 7 to both sides: -9x = 126", "Divide both sides by -9: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7 = 10(x - 9) + 209", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 10, \"c\": 9, \"e\": 209, \"x\": -14}", "seed": "12533533572290569081", "semantic_fingerprint": "sha256:76d59e050cbf5c7c81038c827bd747a285ed30dde22a66adda11e41085967ce1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001679", "prompt": "Evaluate: (-64 + (-3) / (-274)) * (-12 * 0)", "solution_steps": ["Divide: -3 / (-274) = 3/274", "Add: -64 + 3/274 = -17533/274", "Multiply: -12 * 0 = 0", "Multiply: (-17533/274) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-64 + (-3) / (-274)) * (-12 * 0)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": -3, \"c\": -274, \"d\": -12, \"e\": 0}", "seed": "15788975869107469929", "semantic_fingerprint": "sha256:fd305255f777b9ac31d34be10ece52351eefc22d90c564993ea23afd559686d8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001680", "prompt": "Solve for x: x - 6 = 4(x - 5) + 44", "solution_steps": ["Expand: x - 6 = 4x - 20 + 44", "Combine constants: x - 6 = 4x + 24", "Subtract 4x from both sides: -3x - 6 = 24", "Add 6 to both sides: -3x = 30", "Divide both sides by -3: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6 = 4(x - 5) + 44", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 4, \"c\": 5, \"e\": 44, \"x\": -10}", "seed": "16297354084259231613", "semantic_fingerprint": "sha256:d762ce74ee65fb542b78cb35db3075d85e0616ed3ac747095473aedfb1398108", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001681", "prompt": "Calculate: -37 + (-26) - 3 + (-1)", "solution_steps": ["Add: -37 + (-26) = -63", "Subtract: -63 - 3 = -66", "Add: -66 + (-1) = -67"], "final_answer": "-67", "answer_type": "integer", "kind": "expression", "math_text": "-37 + (-26) - 3 + (-1)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -26, \"c\": 3, \"d\": -1}", "seed": "3672710185209368711", "semantic_fingerprint": "sha256:4bc1700ed52339bb53dbc150044e9f0bccf361b50e24ba51285c621f650413b9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001682", "prompt": "Calculate: (-829 - (-78)) * 8 * (-22)", "solution_steps": ["Subtract: -829 - (-78) = -751", "Multiply: -751 * 8 = -6008", "Multiply: -6008 * (-22) = 132176"], "final_answer": "132176", "answer_type": "integer", "kind": "expression", "math_text": "(-829 - (-78)) * 8 * (-22)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -829, \"b\": -78, \"c\": 8, \"d\": -22}", "seed": "12181622537299893654", "semantic_fingerprint": "sha256:5c118f396c33681cd145178466c62fd393d032c97da5102ad802b58ac7e85b1f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001683", "prompt": "What value of x satisfies 3(x + 55) - 25 = x - 260?", "solution_steps": ["Expand: 3x + 165 - 25 = x - 260", "Combine constants: 3x + 140 = x - 260", "Subtract x from both sides: 2x + 140 = -260", "Subtract 140 from both sides: 2x = -400", "Divide both sides by 2: x = -200"], "final_answer": "-200", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 55) - 25 = x - 260", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 55, \"c\": 25, \"d\": 260}", "seed": "14169415061801033380", "semantic_fingerprint": "sha256:b4bb0f39af52c01f9bb6a6cc46744e44220b9ca840efd9f65523b0fd4989ed73", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001684", "prompt": "Calculate: 22 / (-9) / (-8 - 87 + (-163))", "solution_steps": ["Divide: 22 / (-9) = -22/9", "Subtract: -8 - 87 = -95", "Add: -95 + (-163) = -258", "Divide: (-22/9) / (-258) = 11/1161"], "final_answer": "11/1161", "answer_type": "rational", "kind": "expression", "math_text": "22 / (-9) / (-8 - 87 + (-163))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": -9, \"c\": -8, \"d\": 87, \"e\": -163}", "seed": "3224035021184477885", "semantic_fingerprint": "sha256:aed97ad038af15a6f034a2e949ff02d54f79bb48243ea5c8ca0ff1abb67cdecf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001685", "prompt": "What is (3 - 122) / (-91 * 2)?", "solution_steps": ["Subtract: 3 - 122 = -119", "Multiply: -91 * 2 = -182", "Divide: -119 / (-182) = 17/26"], "final_answer": "17/26", "answer_type": "rational", "kind": "expression", "math_text": "(3 - 122) / (-91 * 2)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 122, \"c\": -91, \"d\": 2}", "seed": "6990574101410501419", "semantic_fingerprint": "sha256:93789108ce00e860495711955f1040c00bf59625f84ac4bfe239478b76fa641c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001686", "prompt": "Calculate: (0 - 182 / (-92)) / 64", "solution_steps": ["Divide: 182 / (-92) = -91/46", "Subtract: 0 - (-91/46) = 91/46", "Divide: (91/46) / 64 = 91/2944"], "final_answer": "91/2944", "answer_type": "rational", "kind": "expression", "math_text": "(0 - 182 / (-92)) / 64", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 182, \"c\": -92, \"d\": 64}", "seed": "12712528360413691740", "semantic_fingerprint": "sha256:8ee7241d9fad9a5ba9de5a2b476215a1ff81eaa356f73c9d76f3ec6953199eb3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001687", "prompt": "Solve for x: 8(x - 12) + 15 = 6(x + 99) - 703", "solution_steps": ["Expand: 8x - 96 + 15 = 6(x + 99) - 703", "Expand: 8x - 96 + 15 = 6x + 594 - 703", "Combine constants: 8x - 81 = 6x + 594 - 703", "Combine constants: 8x - 81 = 6x - 109", "Subtract 6x from both sides: 2x - 81 = -109", "Add 81 to both sides: 2x = -28", "Divide both sides by 2: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 12) + 15 = 6(x + 99) - 703", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 12, \"c\": 15, \"d\": 6, \"e\": 99, \"g\": -703, \"x\": -14}", "seed": "12766002202814363300", "semantic_fingerprint": "sha256:683fd35cb95d3a57f4b6f04e700a5a6faf68254258f6e96015ca8eb3e9e8577f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001688", "prompt": "Evaluate: (-33 * (-33) - (-8)) / (-79 / (-8))", "solution_steps": ["Multiply: -33 * (-33) = 1089", "Subtract: 1089 - (-8) = 1097", "Divide: -79 / (-8) = 79/8", "Divide: 1097 / (79/8) = 8776/79"], "final_answer": "8776/79", "answer_type": "rational", "kind": "expression", "math_text": "(-33 * (-33) - (-8)) / (-79 / (-8))", "variable": null, "family": "expression_4op", "shape": "(/ (- (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": -33, \"c\": -8, \"d\": -79, \"e\": -8}", "seed": "8964355604275547068", "semantic_fingerprint": "sha256:a788be8d18bfbd0a38c8e732ff524cae211c88b5226ece122567ee1dded8e4c8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001689", "prompt": "Calculate: (-70 + 5 + (-620)) * (-184)", "solution_steps": ["Add: -70 + 5 = -65", "Add: -65 + (-620) = -685", "Multiply: -685 * (-184) = 126040"], "final_answer": "126040", "answer_type": "integer", "kind": "expression", "math_text": "(-70 + 5 + (-620)) * (-184)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 5, \"c\": -620, \"d\": -184}", "seed": "14301529007387844995", "semantic_fingerprint": "sha256:5cec0e1ebdefa48a490ad99956d8e6e2870605350a146a250e36cbdd1bf56910", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001690", "prompt": "Find x: x - 9 = 2(x - 82) + 173", "solution_steps": ["Expand: x - 9 = 2x - 164 + 173", "Combine constants: x - 9 = 2x + 9", "Subtract 2x from both sides: -x - 9 = 9", "Add 9 to both sides: -x = 18", "Divide both sides by -1: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9 = 2(x - 82) + 173", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 82, \"e\": 173, \"x\": -18}", "seed": "3760939344198861721", "semantic_fingerprint": "sha256:1b6a67294607abddf69408b1c32017df44d824606c1fb46c21f761fc891ab54c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001691", "prompt": "Solve for x: 2(x - 839) + 73 = -12x + 927", "solution_steps": ["Expand: 2x - 1678 + 73 = -12x + 927", "Combine constants: 2x - 1605 = -12x + 927", "Add 12x to both sides: 14x - 1605 = 927", "Add 1605 to both sides: 14x = 2532", "Divide both sides by 14: x = 1266/7"], "final_answer": "1266/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 839) + 73 = -12x + 927", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 839, \"c\": 73, \"d\": -12, \"e\": 927}", "seed": "13262278596865661735", "semantic_fingerprint": "sha256:e2e9790a7965dbca5f650292526f4b4b0837c9ccf6bf3ffeaab8c0b784ce9df7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001692", "prompt": "Find x: 3(x - 33) = 11x - 211", "solution_steps": ["Expand: 3x - 99 = 11x - 211", "Subtract 11x from both sides: -8x - 99 = -211", "Add 99 to both sides: -8x = -112", "Divide both sides by -8: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 33) = 11x - 211", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 33, \"c\": 11, \"e\": -211, \"x\": 14}", "seed": "793097725586537017", "semantic_fingerprint": "sha256:dfaa2f8a8f41962e5050865ac01af0df8b6e71c8754cfcc392481117c6531ac0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001693", "prompt": "Solve the equation x - 6 = 2(x - 15) + 37 for x.", "solution_steps": ["Expand: x - 6 = 2x - 30 + 37", "Combine constants: x - 6 = 2x + 7", "Subtract 2x from both sides: -x - 6 = 7", "Add 6 to both sides: -x = 13", "Divide both sides by -1: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6 = 2(x - 15) + 37", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 15, \"e\": 37, \"x\": -13}", "seed": "13141603033920399133", "semantic_fingerprint": "sha256:d1faaae9f758ef4cd921cba35a8bcf808f58a798451a8305156c4d965e6060a5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001694", "prompt": "Find x: 7(x - 6) - 7 = -4(x - 87) - 276", "solution_steps": ["Expand: 7x - 42 - 7 = -4(x - 87) - 276", "Expand: 7x - 42 - 7 = -4x + 348 - 276", "Combine constants: 7x - 49 = -4x + 348 - 276", "Combine constants: 7x - 49 = -4x + 72", "Add 4x to both sides: 11x - 49 = 72", "Add 49 to both sides: 11x = 121", "Divide both sides by 11: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 6) - 7 = -4(x - 87) - 276", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 7, \"d\": -4, \"e\": 87, \"g\": -276, \"x\": 11}", "seed": "3105101639082958999", "semantic_fingerprint": "sha256:60b7826b0d8e264365c9ca3c4ce5434f24eddf14987b3751d6745212ea2a8625", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001695", "prompt": "Calculate: (-7 + (-71) / 37) * (-537 - (-55) - (-6))", "solution_steps": ["Divide: -71 / 37 = -71/37", "Add: -7 + (-71/37) = -330/37", "Subtract: -537 - (-55) = -482", "Subtract: -482 - (-6) = -476", "Multiply: (-330/37) * (-476) = 157080/37"], "final_answer": "157080/37", "answer_type": "rational", "kind": "expression", "math_text": "(-7 + (-71) / 37) * (-537 - (-55) - (-6))", "variable": null, "family": "expression_5op", "shape": "(* (+ n (/ n n)) (- (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -71, \"c\": 37, \"d\": -537, \"e\": -55, \"f\": -6}", "seed": "9789624172450950072", "semantic_fingerprint": "sha256:337e55ad61f4130efcf526f408e62f67b861aaa5b161682583b990dcaa46fa4a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001696", "prompt": "Find x: 4(x - 65) + 29 = 9(x + 27) - 524", "solution_steps": ["Expand: 4x - 260 + 29 = 9(x + 27) - 524", "Expand: 4x - 260 + 29 = 9x + 243 - 524", "Combine constants: 4x - 231 = 9x + 243 - 524", "Combine constants: 4x - 231 = 9x - 281", "Subtract 9x from both sides: -5x - 231 = -281", "Add 231 to both sides: -5x = -50", "Divide both sides by -5: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 65) + 29 = 9(x + 27) - 524", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 65, \"c\": 29, \"d\": 9, \"e\": 27, \"g\": -524, \"x\": 10}", "seed": "14889726653019488194", "semantic_fingerprint": "sha256:fff23d201d75519658caae6ce71c1bf85abcafa72f20791d6aa5aeff9e95bed2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001697", "prompt": "What is 59 + (483 * (86 + (-52)) + 24 * (-380))?", "solution_steps": ["Add: 86 + (-52) = 34", "Multiply: 483 * 34 = 16422", "Multiply: 24 * (-380) = -9120", "Add: 16422 + (-9120) = 7302", "Add: 59 + 7302 = 7361"], "final_answer": "7361", "answer_type": "integer", "kind": "expression", "math_text": "59 + (483 * (86 + (-52)) + 24 * (-380))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (* n (+ n n)) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": 483, \"c\": 86, \"d\": -52, \"e\": 24, \"f\": -380}", "seed": "449878177431697518", "semantic_fingerprint": "sha256:96641ddf251d2c8d354d2bdf999c7a92ae243fac71f636fa80bbef9c49ab6a95", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001698", "prompt": "Solve the equation 3(x + 5) - 5 = x - 30 for x.", "solution_steps": ["Expand: 3x + 15 - 5 = x - 30", "Combine constants: 3x + 10 = x - 30", "Subtract x from both sides: 2x + 10 = -30", "Subtract 10 from both sides: 2x = -40", "Divide both sides by 2: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 5) - 5 = x - 30", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": 5, \"e\": -30, \"x\": -20}", "seed": "17702426491845828904", "semantic_fingerprint": "sha256:a7b7ec30278ade7011d6b9b25f522e60aeae1814c8539bb856614af8892e7fd5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001699", "prompt": "Compute: (37 - (-7) / 9) / (-8)", "solution_steps": ["Divide: -7 / 9 = -7/9", "Subtract: 37 - (-7/9) = 340/9", "Divide: (340/9) / (-8) = -85/18"], "final_answer": "-85/18", "answer_type": "rational", "kind": "expression", "math_text": "(37 - (-7) / 9) / (-8)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": -7, \"c\": 9, \"d\": -8}", "seed": "15604363110068011374", "semantic_fingerprint": "sha256:f59ebcbc006dff63bad806cba4484171281c06eb7cd728eb98330dc2e81d4092", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001700", "prompt": "What value of x satisfies 5(x - 24) + 92 = 11(x - 8)?", "solution_steps": ["Expand: 5x - 120 + 92 = 11(x - 8)", "Expand: 5x - 120 + 92 = 11x - 88", "Combine constants: 5x - 28 = 11x - 88", "Subtract 11x from both sides: -6x - 28 = -88", "Add 28 to both sides: -6x = -60", "Divide both sides by -6: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 24) + 92 = 11(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 24, \"c\": 11, \"d\": 8, \"f\": 92, \"x\": 10}", "seed": "16740521282723361139", "semantic_fingerprint": "sha256:c242f37ee0a14a4951fdd37318d12b56e14cd2e5215c69929f0c7f1a4e6a608c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001701", "prompt": "Calculate: -36 / 80 + 990 / (-1)", "solution_steps": ["Divide: -36 / 80 = -9/20", "Divide: 990 / (-1) = -990", "Add: -9/20 + (-990) = -19809/20"], "final_answer": "-19809/20", "answer_type": "rational", "kind": "expression", "math_text": "-36 / 80 + 990 / (-1)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": 80, \"c\": 990, \"d\": -1}", "seed": "17627189741575088062", "semantic_fingerprint": "sha256:a852f8292fa6ed0259be8b7a6c057cb89698646220c3a3e7536d93a2634ae92d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001702", "prompt": "Compute: (-7 - 8) / (-96 + (-15) * (-2))", "solution_steps": ["Subtract: -7 - 8 = -15", "Multiply: -15 * (-2) = 30", "Add: -96 + 30 = -66", "Divide: -15 / (-66) = 5/22"], "final_answer": "5/22", "answer_type": "rational", "kind": "expression", "math_text": "(-7 - 8) / (-96 + (-15) * (-2))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 8, \"c\": -96, \"d\": -15, \"e\": -2}", "seed": "7056728608346884191", "semantic_fingerprint": "sha256:3af90688c61e7a994e47763e7ba9c79b301035dcd3ad62c74b755947e564e107", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001703", "prompt": "Compute: 8 * 365 * (-76) / (6 + (-968))", "solution_steps": ["Multiply: 8 * 365 = 2920", "Multiply: 2920 * (-76) = -221920", "Add: 6 + (-968) = -962", "Divide: -221920 / (-962) = 110960/481"], "final_answer": "110960/481", "answer_type": "rational", "kind": "expression", "math_text": "8 * 365 * (-76) / (6 + (-968))", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 365, \"c\": -76, \"d\": 6, \"e\": -968}", "seed": "7123485604874989807", "semantic_fingerprint": "sha256:b7ce1dbe0599e2d287c60543344cd942d4a33941db35a912429a12e590903974", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001704", "prompt": "Evaluate: (67 - 927) / (-7) / (3 / 7) - 675", "solution_steps": ["Subtract: 67 - 927 = -860", "Divide: -860 / (-7) = 860/7", "Divide: 3 / 7 = 3/7", "Divide: (860/7) / (3/7) = 860/3", "Subtract: 860/3 - 675 = -1165/3"], "final_answer": "-1165/3", "answer_type": "rational", "kind": "expression", "math_text": "(67 - 927) / (-7) / (3 / 7) - 675", "variable": null, "family": "expression_5op", "shape": "(- (/ (/ (- n n) n) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 927, \"c\": -7, \"d\": 3, \"e\": 7, \"f\": 675}", "seed": "9705996672586722803", "semantic_fingerprint": "sha256:1cb43ee19cd497afa13862b4611789f004758427fa6b846be6ce2655c1f454b3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001705", "prompt": "Compute: (-92 - 980) / (-81 * 50)", "solution_steps": ["Subtract: -92 - 980 = -1072", "Multiply: -81 * 50 = -4050", "Divide: -1072 / (-4050) = 536/2025"], "final_answer": "536/2025", "answer_type": "rational", "kind": "expression", "math_text": "(-92 - 980) / (-81 * 50)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 980, \"c\": -81, \"d\": 50}", "seed": "14181790192157452373", "semantic_fingerprint": "sha256:8ced47bdd34670d2e60a637d70114c51fe229b16b2864fbd5cca5b34bc04f344", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001706", "prompt": "What is 2 - 0 + (-47 / (-405) - 46)?", "solution_steps": ["Subtract: 2 - 0 = 2", "Divide: -47 / (-405) = 47/405", "Subtract: 47/405 - 46 = -18583/405", "Add: 2 + (-18583/405) = -17773/405"], "final_answer": "-17773/405", "answer_type": "rational", "kind": "expression", "math_text": "2 - 0 + (-47 / (-405) - 46)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 0, \"c\": -47, \"d\": -405, \"e\": 46}", "seed": "11151098610262742754", "semantic_fingerprint": "sha256:c7eddc456c7cb20f6449febd5a6c5a9e808dc50a60a73455d156e4ec91fe46ef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001707", "prompt": "Calculate: (86 + 848 + (-564)) * 9", "solution_steps": ["Add: 86 + 848 = 934", "Add: 934 + (-564) = 370", "Multiply: 370 * 9 = 3330"], "final_answer": "3330", "answer_type": "integer", "kind": "expression", "math_text": "(86 + 848 + (-564)) * 9", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 848, \"c\": -564, \"d\": 9}", "seed": "10827963057878028", "semantic_fingerprint": "sha256:fedbf2ad5d4f6faa800934676da174cf846d98ec8c271c780c3a26493fd49bfe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001708", "prompt": "Compute: -868 - 46 - (-93) / (15 * (-3)) - (-917)", "solution_steps": ["Subtract: -868 - 46 = -914", "Multiply: 15 * (-3) = -45", "Divide: -93 / (-45) = 31/15", "Subtract: -914 - 31/15 = -13741/15", "Subtract: -13741/15 - (-917) = 14/15"], "final_answer": "14/15", "answer_type": "rational", "kind": "expression", "math_text": "-868 - 46 - (-93) / (15 * (-3)) - (-917)", "variable": null, "family": "expression_5op", "shape": "(- (- (- n n) (/ n (* n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -868, \"b\": 46, \"c\": -93, \"d\": 15, \"e\": -3, \"f\": -917}", "seed": "8633493754271633073", "semantic_fingerprint": "sha256:53524e851a61e9096ed3a2bc4d51eeb756b4552cce47c03883f101d9a1ba87ac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001709", "prompt": "Compute: -6 * (7 + 7) / (1 + (-847 + (-847)))", "solution_steps": ["Add: 7 + 7 = 14", "Multiply: -6 * 14 = -84", "Add: -847 + (-847) = -1694", "Add: 1 + (-1694) = -1693", "Divide: -84 / (-1693) = 84/1693"], "final_answer": "84/1693", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (7 + 7) / (1 + (-847 + (-847)))", "variable": null, "family": "expression_5op", "shape": "(/ (* n (+ n n)) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 7, \"c\": 7, \"d\": 1, \"e\": -847, \"f\": -847}", "seed": "4444484541017350283", "semantic_fingerprint": "sha256:b8a4483695e43fdf9f95537a231c7d60619877c4338a6067ccd70cf755452a60", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001710", "prompt": "Calculate: -820 / (-641 / (39 * (-1)))", "solution_steps": ["Multiply: 39 * (-1) = -39", "Divide: -641 / (-39) = 641/39", "Divide: -820 / (641/39) = -31980/641"], "final_answer": "-31980/641", "answer_type": "rational", "kind": "expression", "math_text": "-820 / (-641 / (39 * (-1)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -820, \"b\": -641, \"c\": 39, \"d\": -1}", "seed": "5083776428906250330", "semantic_fingerprint": "sha256:53bf0af5465f8de48354e81024ce5fd9c9ef7d9daf4d2fe3b3734efd04029695", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001711", "prompt": "Calculate: (-1 + 63) / (675 / (-45))", "solution_steps": ["Add: -1 + 63 = 62", "Divide: 675 / (-45) = -15", "Divide: 62 / (-15) = -62/15"], "final_answer": "-62/15", "answer_type": "rational", "kind": "expression", "math_text": "(-1 + 63) / (675 / (-45))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 63, \"c\": 675, \"d\": -45}", "seed": "3594876486968538459", "semantic_fingerprint": "sha256:84fe57f75f4bdabdc638ed18bce84fa401d5990af97cde9a4d52d45c7bd1deaf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001712", "prompt": "What value of x satisfies 10(x - 7) - 96 = 8(x - 6) - 122?", "solution_steps": ["Expand: 10x - 70 - 96 = 8(x - 6) - 122", "Expand: 10x - 70 - 96 = 8x - 48 - 122", "Combine constants: 10x - 166 = 8x - 48 - 122", "Combine constants: 10x - 166 = 8x - 170", "Subtract 8x from both sides: 2x - 166 = -170", "Add 166 to both sides: 2x = -4", "Divide both sides by 2: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 7) - 96 = 8(x - 6) - 122", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7, \"c\": 96, \"d\": 8, \"e\": 6, \"g\": -122, \"x\": -2}", "seed": "3433876238427463788", "semantic_fingerprint": "sha256:2fbb9869a3c03bdb7ced86d1e0e2c0e6021f82fa8f858f41caca98d8b9eafa54", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001713", "prompt": "Solve the equation -9(x - 167) - 33 = 7(x - 68) - 190 for x.", "solution_steps": ["Expand: -9x + 1503 - 33 = 7(x - 68) - 190", "Expand: -9x + 1503 - 33 = 7x - 476 - 190", "Combine constants: -9x + 1470 = 7x - 476 - 190", "Combine constants: -9x + 1470 = 7x - 666", "Subtract 7x from both sides: -16x + 1470 = -666", "Subtract 1470 from both sides: -16x = -2136", "Divide both sides by -16: x = 267/2"], "final_answer": "267/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 167) - 33 = 7(x - 68) - 190", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 167, \"c\": 33, \"d\": 7, \"e\": 68, \"f\": 190}", "seed": "11165173399206524342", "semantic_fingerprint": "sha256:9550406322bc957eafc7781b6e09332e0a50eb7e0f6b8bc494d4d15b5f0a9fc8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001714", "prompt": "Evaluate: 9 * (-54 * 34) - 1", "solution_steps": ["Multiply: -54 * 34 = -1836", "Multiply: 9 * (-1836) = -16524", "Subtract: -16524 - 1 = -16525"], "final_answer": "-16525", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-54 * 34) - 1", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -54, \"c\": 34, \"d\": 1}", "seed": "14858281707590832436", "semantic_fingerprint": "sha256:30a4a6d624e9ef9243f9457cb01f044a0bb1e2797a685a277e3993d545dddff3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001715", "prompt": "Calculate: 21 - (-8 * (-628) + (-941))", "solution_steps": ["Multiply: -8 * (-628) = 5024", "Add: 5024 + (-941) = 4083", "Subtract: 21 - 4083 = -4062"], "final_answer": "-4062", "answer_type": "integer", "kind": "expression", "math_text": "21 - (-8 * (-628) + (-941))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": -8, \"c\": -628, \"d\": -941}", "seed": "17236066488305328244", "semantic_fingerprint": "sha256:2bafd70565ac3f4b792fa096947ca5936c7766365b5815d0700e74b7e22dee95", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001716", "prompt": "Evaluate: -74 - (-36 / 221 + 3 + (-4))", "solution_steps": ["Divide: -36 / 221 = -36/221", "Add: -36/221 + 3 = 627/221", "Add: 627/221 + (-4) = -257/221", "Subtract: -74 - (-257/221) = -16097/221"], "final_answer": "-16097/221", "answer_type": "rational", "kind": "expression", "math_text": "-74 - (-36 / 221 + 3 + (-4))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (+ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": -36, \"c\": 221, \"d\": 3, \"e\": -4}", "seed": "16004520275777001461", "semantic_fingerprint": "sha256:dcadfd24a748517c71f8a6b9e34e3ca2fce922dec16931ba189f984a0d0223e1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001717", "prompt": "Evaluate: (-127 + (-768) + 407) * 760", "solution_steps": ["Add: -127 + (-768) = -895", "Add: -895 + 407 = -488", "Multiply: -488 * 760 = -370880"], "final_answer": "-370880", "answer_type": "integer", "kind": "expression", "math_text": "(-127 + (-768) + 407) * 760", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -127, \"b\": -768, \"c\": 407, \"d\": 760}", "seed": "1276441323208961142", "semantic_fingerprint": "sha256:d3ce1a1fb8dcf8acdad82d57557053a5603b44c8fd3cdc6098437cca0e068448", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001718", "prompt": "Compute: 40 / ((-669 + (-78)) / ((-3 + 39) * (-35)))", "solution_steps": ["Add: -669 + (-78) = -747", "Add: -3 + 39 = 36", "Multiply: 36 * (-35) = -1260", "Divide: -747 / (-1260) = 83/140", "Divide: 40 / (83/140) = 5600/83"], "final_answer": "5600/83", "answer_type": "rational", "kind": "expression", "math_text": "40 / ((-669 + (-78)) / ((-3 + 39) * (-35)))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (+ n n) (* (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -669, \"c\": -78, \"d\": -3, \"e\": 39, \"f\": -35}", "seed": "8317942107705615120", "semantic_fingerprint": "sha256:2f36e39bdca6590b4cc74f5408894a55f9f3f3ca78aad33b8d3ea7c026cba11c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001719", "prompt": "Solve the equation -8(x - 12) + 37 = -12(x + 17) - 685 for x.", "solution_steps": ["Expand: -8x + 96 + 37 = -12(x + 17) - 685", "Expand: -8x + 96 + 37 = -12x - 204 - 685", "Combine constants: -8x + 133 = -12x - 204 - 685", "Combine constants: -8x + 133 = -12x - 889", "Add 12x to both sides: 4x + 133 = -889", "Subtract 133 from both sides: 4x = -1022", "Divide both sides by 4: x = -511/2"], "final_answer": "-511/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 12) + 37 = -12(x + 17) - 685", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 12, \"c\": 37, \"d\": -12, \"e\": 17, \"f\": 685}", "seed": "10856985246592727953", "semantic_fingerprint": "sha256:e9a4fae10af3f8690562a37db0b4ed4e261fd06e021f6971d4122c04aee22e1b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001720", "prompt": "Calculate: -267 - (427 + (49 - (-92)))", "solution_steps": ["Subtract: 49 - (-92) = 141", "Add: 427 + 141 = 568", "Subtract: -267 - 568 = -835"], "final_answer": "-835", "answer_type": "integer", "kind": "expression", "math_text": "-267 - (427 + (49 - (-92)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -267, \"b\": 427, \"c\": 49, \"d\": -92}", "seed": "6382098552286810338", "semantic_fingerprint": "sha256:d7c318e7b497b6517928cc0bc4346ed962c67035f4383938b4cdcba575ae430f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001721", "prompt": "Compute: -1 - (-831) / (-1 / (-1))", "solution_steps": ["Divide: -1 / (-1) = 1", "Divide: -831 / 1 = -831", "Subtract: -1 - (-831) = 830"], "final_answer": "830", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (-831) / (-1 / (-1))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -831, \"c\": -1, \"d\": -1}", "seed": "9451487220943731755", "semantic_fingerprint": "sha256:7d8029556ea82e870cae7ef535d649b00fc0a347b39f1da8164f55ccad61a822", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001722", "prompt": "Calculate: 24 / 80 + (-238) / 26", "solution_steps": ["Divide: 24 / 80 = 3/10", "Divide: -238 / 26 = -119/13", "Add: 3/10 + (-119/13) = -1151/130"], "final_answer": "-1151/130", "answer_type": "rational", "kind": "expression", "math_text": "24 / 80 + (-238) / 26", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": 80, \"c\": -238, \"d\": 26}", "seed": "2054313572906760376", "semantic_fingerprint": "sha256:2f8ade5515ac988701867d8bc877b637e716c11ebc7831def0ac789da4f223cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001723", "prompt": "What value of x satisfies 10(x - 337) + 21 = 12(x + 742) - 73?", "solution_steps": ["Expand: 10x - 3370 + 21 = 12(x + 742) - 73", "Expand: 10x - 3370 + 21 = 12x + 8904 - 73", "Combine constants: 10x - 3349 = 12x + 8904 - 73", "Combine constants: 10x - 3349 = 12x + 8831", "Subtract 12x from both sides: -2x - 3349 = 8831", "Add 3349 to both sides: -2x = 12180", "Divide both sides by -2: x = -6090"], "final_answer": "-6090", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 337) + 21 = 12(x + 742) - 73", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 337, \"c\": 21, \"d\": 12, \"e\": 742, \"f\": 73}", "seed": "7446546288109346384", "semantic_fingerprint": "sha256:b6d5581194bf75cf33476f978f1f9e8df1146efd61e8f385b926add6f3607d16", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001724", "prompt": "Calculate: (-63 + (-33)) / (3 * (-9 * 8))", "solution_steps": ["Add: -63 + (-33) = -96", "Multiply: -9 * 8 = -72", "Multiply: 3 * (-72) = -216", "Divide: -96 / (-216) = 4/9"], "final_answer": "4/9", "answer_type": "rational", "kind": "expression", "math_text": "(-63 + (-33)) / (3 * (-9 * 8))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": -33, \"c\": 3, \"d\": -9, \"e\": 8}", "seed": "3327831987362674391", "semantic_fingerprint": "sha256:cfe1420ad9cc7a0f47d24f9149ef982153c8ed9bcf7e98615cdaea6df162f659", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001725", "prompt": "Solve the equation 6(x - 2) = -8x - 292 for x.", "solution_steps": ["Expand: 6x - 12 = -8x - 292", "Add 8x to both sides: 14x - 12 = -292", "Add 12 to both sides: 14x = -280", "Divide both sides by 14: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 2) = -8x - 292", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": -8, \"e\": -292, \"x\": -20}", "seed": "12123113808628124114", "semantic_fingerprint": "sha256:1648b84b24861e22e628c914aa4d53a1dd242a9d74df6015cef5b5498467e782", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001726", "prompt": "Evaluate: -7 * (-3) * (-75) / (2 - 63)", "solution_steps": ["Multiply: -7 * (-3) = 21", "Multiply: 21 * (-75) = -1575", "Subtract: 2 - 63 = -61", "Divide: -1575 / (-61) = 1575/61"], "final_answer": "1575/61", "answer_type": "rational", "kind": "expression", "math_text": "-7 * (-3) * (-75) / (2 - 63)", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -3, \"c\": -75, \"d\": 2, \"e\": 63}", "seed": "12196578981394895700", "semantic_fingerprint": "sha256:7392af8202e603ff26888be8972d4028aaff873ffc86b7f3f28ee07c1ec6ef89", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001727", "prompt": "Evaluate: -6 * 88 / (92 + 46)", "solution_steps": ["Multiply: -6 * 88 = -528", "Add: 92 + 46 = 138", "Divide: -528 / 138 = -88/23"], "final_answer": "-88/23", "answer_type": "rational", "kind": "expression", "math_text": "-6 * 88 / (92 + 46)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 88, \"c\": 92, \"d\": 46}", "seed": "1376211162809816575", "semantic_fingerprint": "sha256:d5bfcd548940e03f06a0990c41debd66894907405be8e1e4dc58f4a95ac8419e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001728", "prompt": "What value of x satisfies x - 32 = -12(x - 9) + 68?", "solution_steps": ["Expand: x - 32 = -12x + 108 + 68", "Combine constants: x - 32 = -12x + 176", "Add 12x to both sides: 13x - 32 = 176", "Add 32 to both sides: 13x = 208", "Divide both sides by 13: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 32 = -12(x - 9) + 68", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -12, \"c\": 9, \"e\": 68, \"x\": 16}", "seed": "14136911391662789569", "semantic_fingerprint": "sha256:8f0f0e94f36e8d820d67376e97c4997e3bcef6fffb51b2e6dfc3b301a1fd7661", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001729", "prompt": "What is 3 * (-12) + 42 - (-86) - (-861)?", "solution_steps": ["Multiply: 3 * (-12) = -36", "Add: -36 + 42 = 6", "Subtract: 6 - (-86) = 92", "Subtract: 92 - (-861) = 953"], "final_answer": "953", "answer_type": "integer", "kind": "expression", "math_text": "3 * (-12) + 42 - (-86) - (-861)", "variable": null, "family": "expression_4op", "shape": "(- (- (+ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -12, \"c\": 42, \"d\": -86, \"e\": -861}", "seed": "2578347769063270042", "semantic_fingerprint": "sha256:03b003f14d3927d8f57a7d0785fd2720838fecc29a19c86dc72a91eb6d4eaff3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001730", "prompt": "Calculate: 6 / (65 * (-94)) - (-27)", "solution_steps": ["Multiply: 65 * (-94) = -6110", "Divide: 6 / (-6110) = -3/3055", "Subtract: -3/3055 - (-27) = 82482/3055"], "final_answer": "82482/3055", "answer_type": "rational", "kind": "expression", "math_text": "6 / (65 * (-94)) - (-27)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 65, \"c\": -94, \"d\": -27}", "seed": "18405805884876577198", "semantic_fingerprint": "sha256:ae62035193ca5f75383e2fa152e3b8a4144ff729f5e1ddedec0398ac720efed9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001731", "prompt": "Evaluate: 40 + (-90) / 68 / 94", "solution_steps": ["Divide: -90 / 68 = -45/34", "Divide: (-45/34) / 94 = -45/3196", "Add: 40 + (-45/3196) = 127795/3196"], "final_answer": "127795/3196", "answer_type": "rational", "kind": "expression", "math_text": "40 + (-90) / 68 / 94", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -90, \"c\": 68, \"d\": 94}", "seed": "11918083216303578290", "semantic_fingerprint": "sha256:34ca907cc2306a75adf3357606b544d1d83d1a3161dca2c4c7792e2e6f061089", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001732", "prompt": "What value of x satisfies 2(x + 8) - 158 = x - 150?", "solution_steps": ["Expand: 2x + 16 - 158 = x - 150", "Combine constants: 2x - 142 = x - 150", "Subtract x from both sides: x - 142 = -150", "Add 142 to both sides: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 8) - 158 = x - 150", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 158, \"e\": -150, \"x\": -8}", "seed": "1877253198396382417", "semantic_fingerprint": "sha256:ce892e7154520ed37fc23a4ee5357ea7a83374d1c3fa203245d6861e61749eea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001733", "prompt": "Calculate: (-42 - (-46)) * (-5 * (-99))", "solution_steps": ["Subtract: -42 - (-46) = 4", "Multiply: -5 * (-99) = 495", "Multiply: 4 * 495 = 1980"], "final_answer": "1980", "answer_type": "integer", "kind": "expression", "math_text": "(-42 - (-46)) * (-5 * (-99))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": -46, \"c\": -5, \"d\": -99}", "seed": "11439193066672324874", "semantic_fingerprint": "sha256:34b2ab69b4c44775ffba50117b6641543b705d77f1e30ba882af455c682c32a2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001734", "prompt": "Compute: -15 * (-9) * (-30 / ((-8 - (-353)) * 604))", "solution_steps": ["Multiply: -15 * (-9) = 135", "Subtract: -8 - (-353) = 345", "Multiply: 345 * 604 = 208380", "Divide: -30 / 208380 = -1/6946", "Multiply: 135 * (-1/6946) = -135/6946"], "final_answer": "-135/6946", "answer_type": "rational", "kind": "expression", "math_text": "-15 * (-9) * (-30 / ((-8 - (-353)) * 604))", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (/ n (* (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": -9, \"c\": -30, \"d\": -8, \"e\": -353, \"f\": 604}", "seed": "11961525239020523558", "semantic_fingerprint": "sha256:020fc1e851bdbac34797c160e974864e1e3ecb77960f59078c8d2d10c1a2a4e8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001735", "prompt": "Solve for x: -12(x + 111) - 628 = x - 12", "solution_steps": ["Expand: -12x - 1332 - 628 = x - 12", "Combine constants: -12x - 1960 = x - 12", "Subtract x from both sides: -13x - 1960 = -12", "Add 1960 to both sides: -13x = 1948", "Divide both sides by -13: x = -1948/13"], "final_answer": "-1948/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 111) - 628 = x - 12", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 111, \"c\": 628, \"d\": 12}", "seed": "13585336401186115183", "semantic_fingerprint": "sha256:96449897083b3a5f28171764796007d284037bf10f9e4ca0078086c910fe4119", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001736", "prompt": "Compute: (-52 - 219 + (-24)) * 1", "solution_steps": ["Subtract: -52 - 219 = -271", "Add: -271 + (-24) = -295", "Multiply: -295 * 1 = -295"], "final_answer": "-295", "answer_type": "integer", "kind": "expression", "math_text": "(-52 - 219 + (-24)) * 1", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": 219, \"c\": -24, \"d\": 1}", "seed": "9466241159445555342", "semantic_fingerprint": "sha256:d4c048ad2c9bb6182bf8c997f786050f0f31be5af27d33866909a4504dc937a4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001737", "prompt": "What value of x satisfies 9(x + 6) + 52 = 5(x + 96) - 390?", "solution_steps": ["Expand: 9x + 54 + 52 = 5(x + 96) - 390", "Expand: 9x + 54 + 52 = 5x + 480 - 390", "Combine constants: 9x + 106 = 5x + 480 - 390", "Combine constants: 9x + 106 = 5x + 90", "Subtract 5x from both sides: 4x + 106 = 90", "Subtract 106 from both sides: 4x = -16", "Divide both sides by 4: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 6) + 52 = 5(x + 96) - 390", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": 52, \"d\": 5, \"e\": 96, \"g\": -390, \"x\": -4}", "seed": "14314375814093606210", "semantic_fingerprint": "sha256:7cf70fec50d78c16a4facf92fe1cecc5d801b57927969eac0f41c3bd79701a22", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001738", "prompt": "Evaluate: -36 - (-36) / (-902 / 934)", "solution_steps": ["Divide: -902 / 934 = -451/467", "Divide: -36 / (-451/467) = 16812/451", "Subtract: -36 - 16812/451 = -33048/451"], "final_answer": "-33048/451", "answer_type": "rational", "kind": "expression", "math_text": "-36 - (-36) / (-902 / 934)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": -36, \"c\": -902, \"d\": 934}", "seed": "2931887382583376552", "semantic_fingerprint": "sha256:0b354c8b46b7f5bf1d1c318dfe54c3202396249ce1cbc406753db1e667f59c31", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001739", "prompt": "Evaluate: 56 - (-24 * 63 + 5)", "solution_steps": ["Multiply: -24 * 63 = -1512", "Add: -1512 + 5 = -1507", "Subtract: 56 - (-1507) = 1563"], "final_answer": "1563", "answer_type": "integer", "kind": "expression", "math_text": "56 - (-24 * 63 + 5)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": -24, \"c\": 63, \"d\": 5}", "seed": "18169890610887297958", "semantic_fingerprint": "sha256:d5aadc2286b73dc767708903bcf9b0a7bc054edc8ef703549765a4ca656b3e8f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001740", "prompt": "Evaluate: 7 + (-4 / 50 + (586 + 8))", "solution_steps": ["Divide: -4 / 50 = -2/25", "Add: 586 + 8 = 594", "Add: -2/25 + 594 = 14848/25", "Add: 7 + 14848/25 = 15023/25"], "final_answer": "15023/25", "answer_type": "rational", "kind": "expression", "math_text": "7 + (-4 / 50 + (586 + 8))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -4, \"c\": 50, \"d\": 586, \"e\": 8}", "seed": "7761626654297910329", "semantic_fingerprint": "sha256:2a0e142ff6bedf528658e7e19a755403946f5b10a075402b44ebcaa024c5d350", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001741", "prompt": "What is (-42 / (-59) + 98) * 4?", "solution_steps": ["Divide: -42 / (-59) = 42/59", "Add: 42/59 + 98 = 5824/59", "Multiply: (5824/59) * 4 = 23296/59"], "final_answer": "23296/59", "answer_type": "rational", "kind": "expression", "math_text": "(-42 / (-59) + 98) * 4", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": -59, \"c\": 98, \"d\": 4}", "seed": "11792388510455873937", "semantic_fingerprint": "sha256:1095238d7282524d284b4f67cd51ece027a273c6f6c7565ddf421dd8dc4e41c7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001742", "prompt": "Find x: -12(x + 1) - 155 = x - 219", "solution_steps": ["Expand: -12x - 12 - 155 = x - 219", "Combine constants: -12x - 167 = x - 219", "Subtract x from both sides: -13x - 167 = -219", "Add 167 to both sides: -13x = -52", "Divide both sides by -13: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 1) - 155 = x - 219", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 1, \"c\": 155, \"e\": -219, \"x\": 4}", "seed": "593689227879229358", "semantic_fingerprint": "sha256:4af520172b30423a5d424c379de070463cb45ada06ae793966905954c89e4610", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001743", "prompt": "Calculate: (999 - 79) / 1 / (2 / (-105 / 86))", "solution_steps": ["Subtract: 999 - 79 = 920", "Divide: 920 / 1 = 920", "Divide: -105 / 86 = -105/86", "Divide: 2 / (-105/86) = -172/105", "Divide: 920 / (-172/105) = -24150/43"], "final_answer": "-24150/43", "answer_type": "rational", "kind": "expression", "math_text": "(999 - 79) / 1 / (2 / (-105 / 86))", "variable": null, "family": "expression_5op", "shape": "(/ (/ (- n n) n) (/ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 999, \"b\": 79, \"c\": 1, \"d\": 2, \"e\": -105, \"f\": 86}", "seed": "11679263926051508112", "semantic_fingerprint": "sha256:71ed393f1a4e18d0ec4d32af67353476ae69b36f09a3fa85d840a05cb1b693a6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001744", "prompt": "Compute: (950 - (-46) + 6 + (-52) / 6) / 8", "solution_steps": ["Subtract: 950 - (-46) = 996", "Add: 996 + 6 = 1002", "Divide: -52 / 6 = -26/3", "Add: 1002 + (-26/3) = 2980/3", "Divide: (2980/3) / 8 = 745/6"], "final_answer": "745/6", "answer_type": "rational", "kind": "expression", "math_text": "(950 - (-46) + 6 + (-52) / 6) / 8", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ (- n n) n) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 950, \"b\": -46, \"c\": 6, \"d\": -52, \"e\": 6, \"f\": 8}", "seed": "13797211459992039066", "semantic_fingerprint": "sha256:05767a94438b8c4786b529ed0d521b7f0c7609d71ac758372063ba6b20224b8a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001745", "prompt": "Find x: -3(x - 73) + 861 = -11x + 4", "solution_steps": ["Expand: -3x + 219 + 861 = -11x + 4", "Combine constants: -3x + 1080 = -11x + 4", "Add 11x to both sides: 8x + 1080 = 4", "Subtract 1080 from both sides: 8x = -1076", "Divide both sides by 8: x = -269/2"], "final_answer": "-269/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 73) + 861 = -11x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 73, \"c\": 861, \"d\": -11, \"e\": 4}", "seed": "15934697681183708896", "semantic_fingerprint": "sha256:724212edf9a54a1e77fdb103377bf6669b5cfd9f8a2302552ef45220b7f65995", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001746", "prompt": "Evaluate: -35 * (3 / (-1) / (-2) + (-79))", "solution_steps": ["Divide: 3 / (-1) = -3", "Divide: -3 / (-2) = 3/2", "Add: 3/2 + (-79) = -155/2", "Multiply: -35 * (-155/2) = 5425/2"], "final_answer": "5425/2", "answer_type": "rational", "kind": "expression", "math_text": "-35 * (3 / (-1) / (-2) + (-79))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (/ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": 3, \"c\": -1, \"d\": -2, \"e\": -79}", "seed": "17296040786588487091", "semantic_fingerprint": "sha256:6dda246a7d35b7f1cb99df9b5554368bb464041dc6786b2e46d9894b1873ce2a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001747", "prompt": "Calculate: (-353 + 212) / (1 - (56 - 6))", "solution_steps": ["Add: -353 + 212 = -141", "Subtract: 56 - 6 = 50", "Subtract: 1 - 50 = -49", "Divide: -141 / (-49) = 141/49"], "final_answer": "141/49", "answer_type": "rational", "kind": "expression", "math_text": "(-353 + 212) / (1 - (56 - 6))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -353, \"b\": 212, \"c\": 1, \"d\": 56, \"e\": 6}", "seed": "4054298802098266103", "semantic_fingerprint": "sha256:ef2ad0bccd004bab2a7f545199a27b4d00d652788acd209706cee81f25cde5d0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001748", "prompt": "Calculate: -72 * (-6 - (-873) + (-6))", "solution_steps": ["Subtract: -6 - (-873) = 867", "Add: 867 + (-6) = 861", "Multiply: -72 * 861 = -61992"], "final_answer": "-61992", "answer_type": "integer", "kind": "expression", "math_text": "-72 * (-6 - (-873) + (-6))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -6, \"c\": -873, \"d\": -6}", "seed": "9098370101844759929", "semantic_fingerprint": "sha256:9cfd544f757b5b316d853d58a42a18aa9725c1d4df5804ca219a46bc48eeef74", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001749", "prompt": "What value of x satisfies -9(x - 78) + 390 = -12(x - 91)?", "solution_steps": ["Expand: -9x + 702 + 390 = -12(x - 91)", "Expand: -9x + 702 + 390 = -12x + 1092", "Combine constants: -9x + 1092 = -12x + 1092", "Add 12x to both sides: 3x + 1092 = 1092", "Subtract 1092 from both sides: 3x = 0", "Divide both sides by 3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 78) + 390 = -12(x - 91)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 78, \"c\": -12, \"d\": 91, \"f\": 390, \"x\": 0}", "seed": "5549895703439915984", "semantic_fingerprint": "sha256:dc677a1124c85876aef4fe62a9bcf6711a3d29bfefc37892fa4af58b1db807a5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001750", "prompt": "Find x: 3(x - 54) + 28 = 11(x - 2)", "solution_steps": ["Expand: 3x - 162 + 28 = 11(x - 2)", "Expand: 3x - 162 + 28 = 11x - 22", "Combine constants: 3x - 134 = 11x - 22", "Subtract 11x from both sides: -8x - 134 = -22", "Add 134 to both sides: -8x = 112", "Divide both sides by -8: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 54) + 28 = 11(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 54, \"c\": 11, \"d\": 2, \"f\": 28, \"x\": -14}", "seed": "13092196539664526052", "semantic_fingerprint": "sha256:0e1d87bc8f82f3004846e5880b032dd36192bbcbba80502a533db4697ebe8a2d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001751", "prompt": "What is -19 - (73 + (-4 - (-548)))?", "solution_steps": ["Subtract: -4 - (-548) = 544", "Add: 73 + 544 = 617", "Subtract: -19 - 617 = -636"], "final_answer": "-636", "answer_type": "integer", "kind": "expression", "math_text": "-19 - (73 + (-4 - (-548)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": 73, \"c\": -4, \"d\": -548}", "seed": "11061319998939591039", "semantic_fingerprint": "sha256:714c0e131b89be8206d30ef5bd3afdcc32aed6d9d360f5af1d9e660a532e325f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001752", "prompt": "Compute: 29 - 4 / (-8 / (-21))", "solution_steps": ["Divide: -8 / (-21) = 8/21", "Divide: 4 / (8/21) = 21/2", "Subtract: 29 - 21/2 = 37/2"], "final_answer": "37/2", "answer_type": "rational", "kind": "expression", "math_text": "29 - 4 / (-8 / (-21))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 4, \"c\": -8, \"d\": -21}", "seed": "1758445140450085626", "semantic_fingerprint": "sha256:6f15ec8435402092fad55b4cf8716092cf4469c4f62e11adb61f1d6556438c9f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001753", "prompt": "Compute: 6 * (-58) / (5 + (-2))", "solution_steps": ["Multiply: 6 * (-58) = -348", "Add: 5 + (-2) = 3", "Divide: -348 / 3 = -116"], "final_answer": "-116", "answer_type": "integer", "kind": "expression", "math_text": "6 * (-58) / (5 + (-2))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -58, \"c\": 5, \"d\": -2}", "seed": "4876242508450674596", "semantic_fingerprint": "sha256:d2bc9f5200997665a0e9034ea8cc0679fe5d3efbb75a9d0a8259261f6a2fb0c2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001754", "prompt": "Compute: 4 * (-187) + (-93) * (90 - 99)", "solution_steps": ["Multiply: 4 * (-187) = -748", "Subtract: 90 - 99 = -9", "Multiply: -93 * (-9) = 837", "Add: -748 + 837 = 89"], "final_answer": "89", "answer_type": "integer", "kind": "expression", "math_text": "4 * (-187) + (-93) * (90 - 99)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -187, \"c\": -93, \"d\": 90, \"e\": 99}", "seed": "14661708347642861490", "semantic_fingerprint": "sha256:140ac77abb3b44f0d20d358a05b0e894ebed83fb19b7f7d02842093f8edd80d6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001755", "prompt": "Evaluate: 23 + (-6) - (-3 + 674)", "solution_steps": ["Add: 23 + (-6) = 17", "Add: -3 + 674 = 671", "Subtract: 17 - 671 = -654"], "final_answer": "-654", "answer_type": "integer", "kind": "expression", "math_text": "23 + (-6) - (-3 + 674)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -6, \"c\": -3, \"d\": 674}", "seed": "16436394410389148334", "semantic_fingerprint": "sha256:4f86432d916bf1a2af8d1f5301379b51d99ac64460de5a7e5c1797bc84d6f644", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001756", "prompt": "What value of x satisfies x - 20 = 9(x - 7) + 11?", "solution_steps": ["Expand: x - 20 = 9x - 63 + 11", "Combine constants: x - 20 = 9x - 52", "Subtract 9x from both sides: -8x - 20 = -52", "Add 20 to both sides: -8x = -32", "Divide both sides by -8: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 20 = 9(x - 7) + 11", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": 9, \"c\": 7, \"e\": 11, \"x\": 4}", "seed": "17408626274479070031", "semantic_fingerprint": "sha256:a0706fe6e1b44d0da9b4051951ce346418d8018e94216b0958f8777dd3dfc9c7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001757", "prompt": "What value of x satisfies 12(x - 5) + 184 = 2(x + 99) - 254?", "solution_steps": ["Expand: 12x - 60 + 184 = 2(x + 99) - 254", "Expand: 12x - 60 + 184 = 2x + 198 - 254", "Combine constants: 12x + 124 = 2x + 198 - 254", "Combine constants: 12x + 124 = 2x - 56", "Subtract 2x from both sides: 10x + 124 = -56", "Subtract 124 from both sides: 10x = -180", "Divide both sides by 10: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 5) + 184 = 2(x + 99) - 254", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 184, \"d\": 2, \"e\": 99, \"g\": -254, \"x\": -18}", "seed": "1971383250888125892", "semantic_fingerprint": "sha256:3fc301b1f0ace7835fbebc332aadba2e9b020997959369556548dd8f63651117", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001758", "prompt": "What value of x satisfies 7(x + 9) - 7 = x - 16?", "solution_steps": ["Expand: 7x + 63 - 7 = x - 16", "Combine constants: 7x + 56 = x - 16", "Subtract x from both sides: 6x + 56 = -16", "Subtract 56 from both sides: 6x = -72", "Divide both sides by 6: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 9) - 7 = x - 16", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 7, \"e\": -16, \"x\": -12}", "seed": "11182527803212443330", "semantic_fingerprint": "sha256:bb3461b27bd5d6c5c306dfc5d36d5ecb702e13d58de7742c7ec85c2e7fef7f54", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001759", "prompt": "Compute: -17 + (-446) * (-28) + 1 / 2", "solution_steps": ["Multiply: -446 * (-28) = 12488", "Add: -17 + 12488 = 12471", "Divide: 1 / 2 = 1/2", "Add: 12471 + 1/2 = 24943/2"], "final_answer": "24943/2", "answer_type": "rational", "kind": "expression", "math_text": "-17 + (-446) * (-28) + 1 / 2", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": -446, \"c\": -28, \"d\": 1, \"e\": 2}", "seed": "7447997592276562114", "semantic_fingerprint": "sha256:4d34ca5e38367749315f64e5872aa87cce4320530e2a2fb5f2b1bc392606e286", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001760", "prompt": "Solve the equation x - 9 = 3(x - 80) + 4 for x.", "solution_steps": ["Expand: x - 9 = 3x - 240 + 4", "Combine constants: x - 9 = 3x - 236", "Subtract 3x from both sides: -2x - 9 = -236", "Add 9 to both sides: -2x = -227", "Divide both sides by -2: x = 227/2"], "final_answer": "227/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 9 = 3(x - 80) + 4", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 80, \"d\": 4}", "seed": "1660096621975743434", "semantic_fingerprint": "sha256:d8d739fd0b5cd878acab44abdb931c4b420c57b55170f68577fdb63e3e387cd8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001761", "prompt": "Solve the equation 5(x - 288) - 102 = 8(x - 55) for x.", "solution_steps": ["Expand: 5x - 1440 - 102 = 8(x - 55)", "Expand: 5x - 1440 - 102 = 8x - 440", "Combine constants: 5x - 1542 = 8x - 440", "Subtract 8x from both sides: -3x - 1542 = -440", "Add 1542 to both sides: -3x = 1102", "Divide both sides by -3: x = -1102/3"], "final_answer": "-1102/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 288) - 102 = 8(x - 55)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 288, \"c\": 102, \"d\": 8, \"e\": 55}", "seed": "527827624178061743", "semantic_fingerprint": "sha256:623e1b1484185e0cb607c0d64df8241deeb187ae70689844e14b9387aa9d6410", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001762", "prompt": "Evaluate: (9 + 47 + (-854)) * (-556 / (-59 - 712))", "solution_steps": ["Add: 9 + 47 = 56", "Add: 56 + (-854) = -798", "Subtract: -59 - 712 = -771", "Divide: -556 / (-771) = 556/771", "Multiply: -798 * (556/771) = -147896/257"], "final_answer": "-147896/257", "answer_type": "rational", "kind": "expression", "math_text": "(9 + 47 + (-854)) * (-556 / (-59 - 712))", "variable": null, "family": "expression_5op", "shape": "(* (+ (+ n n) n) (/ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 47, \"c\": -854, \"d\": -556, \"e\": -59, \"f\": 712}", "seed": "17808221255569202831", "semantic_fingerprint": "sha256:0c5cfb1fe42dd45f9cc2f36af2de4733ce6b65fda9bfffb0dc21f912b4311599", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001763", "prompt": "Compute: (-22 + (-1)) / (-91 * (-18)) - 573", "solution_steps": ["Add: -22 + (-1) = -23", "Multiply: -91 * (-18) = 1638", "Divide: -23 / 1638 = -23/1638", "Subtract: -23/1638 - 573 = -938597/1638"], "final_answer": "-938597/1638", "answer_type": "rational", "kind": "expression", "math_text": "(-22 + (-1)) / (-91 * (-18)) - 573", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": -1, \"c\": -91, \"d\": -18, \"e\": 573}", "seed": "18211883601934303090", "semantic_fingerprint": "sha256:b7cb2a94de8db497b6f0e94f9e8339d9927472aed14b3d2733d4b64e427ad93f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001764", "prompt": "Calculate: (-4 + 9) / (67 / (-9))", "solution_steps": ["Add: -4 + 9 = 5", "Divide: 67 / (-9) = -67/9", "Divide: 5 / (-67/9) = -45/67"], "final_answer": "-45/67", "answer_type": "rational", "kind": "expression", "math_text": "(-4 + 9) / (67 / (-9))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 9, \"c\": 67, \"d\": -9}", "seed": "1002354879265944410", "semantic_fingerprint": "sha256:6b9788ef2653b46a9ecf19d801f4ac02be90c84c41944dc8f7f301e213b74cbb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001765", "prompt": "Evaluate: 657 / 3 + 28 / (-4)", "solution_steps": ["Divide: 657 / 3 = 219", "Divide: 28 / (-4) = -7", "Add: 219 + (-7) = 212"], "final_answer": "212", "answer_type": "integer", "kind": "expression", "math_text": "657 / 3 + 28 / (-4)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 657, \"b\": 3, \"c\": 28, \"d\": -4}", "seed": "11575299908794344866", "semantic_fingerprint": "sha256:0f4a5d08c8a729de7d3cc3eabb1074439bd57732491b25e532a900cd00b5d121", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001766", "prompt": "Compute: 48 + (8 - 2) * (91 * (-297))", "solution_steps": ["Subtract: 8 - 2 = 6", "Multiply: 91 * (-297) = -27027", "Multiply: 6 * (-27027) = -162162", "Add: 48 + (-162162) = -162114"], "final_answer": "-162114", "answer_type": "integer", "kind": "expression", "math_text": "48 + (8 - 2) * (91 * (-297))", "variable": null, "family": "expression_4op", "shape": "(+ n (* (- n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 8, \"c\": 2, \"d\": 91, \"e\": -297}", "seed": "6920559225951260714", "semantic_fingerprint": "sha256:593f87ff3f678d1b534eea30019a8b98e8be8e6d4f3d4e99721880e1687cf734", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001767", "prompt": "Calculate: 96 * (9 - (-603 - 595 * (-6)))", "solution_steps": ["Multiply: 595 * (-6) = -3570", "Subtract: -603 - (-3570) = 2967", "Subtract: 9 - 2967 = -2958", "Multiply: 96 * (-2958) = -283968"], "final_answer": "-283968", "answer_type": "integer", "kind": "expression", "math_text": "96 * (9 - (-603 - 595 * (-6)))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (- n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 9, \"c\": -603, \"d\": 595, \"e\": -6}", "seed": "7055746328795508714", "semantic_fingerprint": "sha256:4bb07e69218fbe8007bc0f6bff17c5f618b03f1d625976d56c2496f0f63cd3aa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001768", "prompt": "Solve for x: x - 79 = 7(x - 9) + 104", "solution_steps": ["Expand: x - 79 = 7x - 63 + 104", "Combine constants: x - 79 = 7x + 41", "Subtract 7x from both sides: -6x - 79 = 41", "Add 79 to both sides: -6x = 120", "Divide both sides by -6: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 79 = 7(x - 9) + 104", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": 7, \"c\": 9, \"e\": 104, \"x\": -20}", "seed": "4137660430349937519", "semantic_fingerprint": "sha256:12081011c33518a109f39f00e0e60aa8a8cc36a7aee30785784dd6fd22e310da", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001769", "prompt": "What is 42 * (-186) - (7 + (-39) * 21 - 4)?", "solution_steps": ["Multiply: 42 * (-186) = -7812", "Multiply: -39 * 21 = -819", "Add: 7 + (-819) = -812", "Subtract: -812 - 4 = -816", "Subtract: -7812 - (-816) = -6996"], "final_answer": "-6996", "answer_type": "integer", "kind": "expression", "math_text": "42 * (-186) - (7 + (-39) * 21 - 4)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (- (+ n (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -186, \"c\": 7, \"d\": -39, \"e\": 21, \"f\": 4}", "seed": "8432334138133502971", "semantic_fingerprint": "sha256:4c11fd9ee5ea43e534aeb5a1c57fbeb959d80ba2f718d931acea9f0af88b2842", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001770", "prompt": "Compute: (52 + 3) * (-79 - (-230)) / 391", "solution_steps": ["Add: 52 + 3 = 55", "Subtract: -79 - (-230) = 151", "Multiply: 55 * 151 = 8305", "Divide: 8305 / 391 = 8305/391"], "final_answer": "8305/391", "answer_type": "rational", "kind": "expression", "math_text": "(52 + 3) * (-79 - (-230)) / 391", "variable": null, "family": "expression_4op", "shape": "(/ (* (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": 3, \"c\": -79, \"d\": -230, \"e\": 391}", "seed": "12242107932362117101", "semantic_fingerprint": "sha256:20962075e37f689cb9bd96e5e6d7c35108ce33b7a93044070d661d95a683801b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001771", "prompt": "Solve the equation x - 7 = 8(x - 4) + 67 for x.", "solution_steps": ["Expand: x - 7 = 8x - 32 + 67", "Combine constants: x - 7 = 8x + 35", "Subtract 8x from both sides: -7x - 7 = 35", "Add 7 to both sides: -7x = 42", "Divide both sides by -7: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7 = 8(x - 4) + 67", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 4, \"e\": 67, \"x\": -6}", "seed": "2732107647623807335", "semantic_fingerprint": "sha256:d0bbb5e23499d5e568aedcd27b7b64c5d9886f73e6bbebdaf0dd08b0433849c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001772", "prompt": "Compute: (-74 - (-178)) * (3 * (-168))", "solution_steps": ["Subtract: -74 - (-178) = 104", "Multiply: 3 * (-168) = -504", "Multiply: 104 * (-504) = -52416"], "final_answer": "-52416", "answer_type": "integer", "kind": "expression", "math_text": "(-74 - (-178)) * (3 * (-168))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": -178, \"c\": 3, \"d\": -168}", "seed": "10843776930944525975", "semantic_fingerprint": "sha256:306f92cf1fa176bb5fc0c55478727ecb54347ebdd1363768149490fb10f430a6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001773", "prompt": "Compute: -18 * (-805 * 24) - 620", "solution_steps": ["Multiply: -805 * 24 = -19320", "Multiply: -18 * (-19320) = 347760", "Subtract: 347760 - 620 = 347140"], "final_answer": "347140", "answer_type": "integer", "kind": "expression", "math_text": "-18 * (-805 * 24) - 620", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": -805, \"c\": 24, \"d\": 620}", "seed": "17716390118890969201", "semantic_fingerprint": "sha256:4aa78b48c1a32629f2d21005dc51eca205c5b206069bafda39d2db3bbf4c0903", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001774", "prompt": "What is (-2 * (-3) - (-288)) / (-9 / 9)?", "solution_steps": ["Multiply: -2 * (-3) = 6", "Subtract: 6 - (-288) = 294", "Divide: -9 / 9 = -1", "Divide: 294 / (-1) = -294"], "final_answer": "-294", "answer_type": "integer", "kind": "expression", "math_text": "(-2 * (-3) - (-288)) / (-9 / 9)", "variable": null, "family": "expression_4op", "shape": "(/ (- (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -3, \"c\": -288, \"d\": -9, \"e\": 9}", "seed": "14846631813249925218", "semantic_fingerprint": "sha256:a84ff84434b68d097c92f367086337e96a535a2db4a9fd49bbb70a854ba259aa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001775", "prompt": "Compute: 4 * (-52) / (0 + 360)", "solution_steps": ["Multiply: 4 * (-52) = -208", "Add: 0 + 360 = 360", "Divide: -208 / 360 = -26/45"], "final_answer": "-26/45", "answer_type": "rational", "kind": "expression", "math_text": "4 * (-52) / (0 + 360)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -52, \"c\": 0, \"d\": 360}", "seed": "2251272480750152419", "semantic_fingerprint": "sha256:9490aed971121c1ec0afc8de7b9ed6b883b1132a5cc9f2c600c0ca4e3fbbaa59", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001776", "prompt": "Find x: -9(x + 9) + 5 = 12(x + 8) - 529", "solution_steps": ["Expand: -9x - 81 + 5 = 12(x + 8) - 529", "Expand: -9x - 81 + 5 = 12x + 96 - 529", "Combine constants: -9x - 76 = 12x + 96 - 529", "Combine constants: -9x - 76 = 12x - 433", "Subtract 12x from both sides: -21x - 76 = -433", "Add 76 to both sides: -21x = -357", "Divide both sides by -21: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 9) + 5 = 12(x + 8) - 529", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 9, \"c\": 5, \"d\": 12, \"e\": 8, \"g\": -529, \"x\": 17}", "seed": "13489756799098025246", "semantic_fingerprint": "sha256:1e3aef9de839f8fe388e1dfbc66e8ca08ab6f6b7013ba562d709dcdee03fa2a3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001777", "prompt": "Evaluate: (-6 - (-775)) / (2 * 4 * (-618) - 3)", "solution_steps": ["Subtract: -6 - (-775) = 769", "Multiply: 2 * 4 = 8", "Multiply: 8 * (-618) = -4944", "Subtract: -4944 - 3 = -4947", "Divide: 769 / (-4947) = -769/4947"], "final_answer": "-769/4947", "answer_type": "rational", "kind": "expression", "math_text": "(-6 - (-775)) / (2 * 4 * (-618) - 3)", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (- (* (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -775, \"c\": 2, \"d\": 4, \"e\": -618, \"f\": 3}", "seed": "16801219320238894845", "semantic_fingerprint": "sha256:e48712c7712613ef54b4509de64173afc0949ff099df748b6a7b015589b1f738", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001778", "prompt": "Compute: 83 / (7 - (-330) + 0)", "solution_steps": ["Subtract: 7 - (-330) = 337", "Add: 337 + 0 = 337", "Divide: 83 / 337 = 83/337"], "final_answer": "83/337", "answer_type": "rational", "kind": "expression", "math_text": "83 / (7 - (-330) + 0)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 7, \"c\": -330, \"d\": 0}", "seed": "15241334824625011075", "semantic_fingerprint": "sha256:6a68213ef7b67d944e5d6b9c72541649d5018e8aafcc9bc4b39a9bcf1decd895", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001779", "prompt": "Calculate: 668 - (0 + (9 - 12))", "solution_steps": ["Subtract: 9 - 12 = -3", "Add: 0 + (-3) = -3", "Subtract: 668 - (-3) = 671"], "final_answer": "671", "answer_type": "integer", "kind": "expression", "math_text": "668 - (0 + (9 - 12))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 668, \"b\": 0, \"c\": 9, \"d\": 12}", "seed": "9938979792829859342", "semantic_fingerprint": "sha256:5d715731c9b316c19ac7c881e63e9f5284719d026fba78e6578d4db08addb1ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001780", "prompt": "What is -40 * 49 / 3 / (9 / (-86))?", "solution_steps": ["Multiply: -40 * 49 = -1960", "Divide: -1960 / 3 = -1960/3", "Divide: 9 / (-86) = -9/86", "Divide: (-1960/3) / (-9/86) = 168560/27"], "final_answer": "168560/27", "answer_type": "rational", "kind": "expression", "math_text": "-40 * 49 / 3 / (9 / (-86))", "variable": null, "family": "expression_4op", "shape": "(/ (/ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": 49, \"c\": 3, \"d\": 9, \"e\": -86}", "seed": "7483778855266362744", "semantic_fingerprint": "sha256:572cdd765f0d4be355e5f77b4a6fa1bbd9e6a37f4f759a874cdcc9d3fa3d2d04", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001781", "prompt": "Solve for x: 7(x + 3) + 3 = 6(x + 65) - 360", "solution_steps": ["Expand: 7x + 21 + 3 = 6(x + 65) - 360", "Expand: 7x + 21 + 3 = 6x + 390 - 360", "Combine constants: 7x + 24 = 6x + 390 - 360", "Combine constants: 7x + 24 = 6x + 30", "Subtract 6x from both sides: x + 24 = 30", "Subtract 24 from both sides: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 3) + 3 = 6(x + 65) - 360", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"c\": 3, \"d\": 6, \"e\": 65, \"g\": -360, \"x\": 6}", "seed": "544602433451015194", "semantic_fingerprint": "sha256:7c2e707c5aea702d7e06881bb0815d1b5984bf903499b66b2180c86747daa1db", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001782", "prompt": "Solve the equation 2(x - 21) - 9 = 8(x - 254) - 75 for x.", "solution_steps": ["Expand: 2x - 42 - 9 = 8(x - 254) - 75", "Expand: 2x - 42 - 9 = 8x - 2032 - 75", "Combine constants: 2x - 51 = 8x - 2032 - 75", "Combine constants: 2x - 51 = 8x - 2107", "Subtract 8x from both sides: -6x - 51 = -2107", "Add 51 to both sides: -6x = -2056", "Divide both sides by -6: x = 1028/3"], "final_answer": "1028/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 21) - 9 = 8(x - 254) - 75", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 21, \"c\": 9, \"d\": 8, \"e\": 254, \"f\": 75}", "seed": "9229392772298523950", "semantic_fingerprint": "sha256:26574cbf76fd10028675319fd9a25138cbbb734c934ed3bdc31417e367e4d3fb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001783", "prompt": "What value of x satisfies 10x - 65 = -11(x + 6) + 211?", "solution_steps": ["Expand: 10x - 65 = -11x - 66 + 211", "Combine constants: 10x - 65 = -11x + 145", "Add 11x to both sides: 21x - 65 = 145", "Add 65 to both sides: 21x = 210", "Divide both sides by 21: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 65 = -11(x + 6) + 211", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 65, \"c\": -11, \"d\": 6, \"f\": 211, \"x\": 10}", "seed": "7550731240402607594", "semantic_fingerprint": "sha256:fbcf99c80d4082f8b8becd5cc9c2a0d6b8ed2f68c08d375e8acc81d27ef37c2c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001784", "prompt": "Compute: (20 - 10) * (-889 / 8)", "solution_steps": ["Subtract: 20 - 10 = 10", "Divide: -889 / 8 = -889/8", "Multiply: 10 * (-889/8) = -4445/4"], "final_answer": "-4445/4", "answer_type": "rational", "kind": "expression", "math_text": "(20 - 10) * (-889 / 8)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": 10, \"c\": -889, \"d\": 8}", "seed": "6127694249248662829", "semantic_fingerprint": "sha256:ad52748cf6abd52f93d0fea91a16a05bdd1375ccdfaafea9e11bcd6db364c5d9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001785", "prompt": "Evaluate: -47 / ((-4 * 971 - (-9)) / (-8))", "solution_steps": ["Multiply: -4 * 971 = -3884", "Subtract: -3884 - (-9) = -3875", "Divide: -3875 / (-8) = 3875/8", "Divide: -47 / (3875/8) = -376/3875"], "final_answer": "-376/3875", "answer_type": "rational", "kind": "expression", "math_text": "-47 / ((-4 * 971 - (-9)) / (-8))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (- (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": -4, \"c\": 971, \"d\": -9, \"e\": -8}", "seed": "11189015075980617022", "semantic_fingerprint": "sha256:5ef003b855f0e58da2a7049e5d72136b4d3fa56ae877a5709796b438c1de7bae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001786", "prompt": "What is -797 + (867 * 505 - 0)?", "solution_steps": ["Multiply: 867 * 505 = 437835", "Subtract: 437835 - 0 = 437835", "Add: -797 + 437835 = 437038"], "final_answer": "437038", "answer_type": "integer", "kind": "expression", "math_text": "-797 + (867 * 505 - 0)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -797, \"b\": 867, \"c\": 505, \"d\": 0}", "seed": "14705886020969994851", "semantic_fingerprint": "sha256:38cf4f86226c46d70bd785ef878993a5d815a9153b36761e48b7af3909fbc0a6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001787", "prompt": "What is -466 * (198 + (-79 / (-2) - 0) * 1)?", "solution_steps": ["Divide: -79 / (-2) = 79/2", "Subtract: 79/2 - 0 = 79/2", "Multiply: (79/2) * 1 = 79/2", "Add: 198 + 79/2 = 475/2", "Multiply: -466 * (475/2) = -110675"], "final_answer": "-110675", "answer_type": "integer", "kind": "expression", "math_text": "-466 * (198 + (-79 / (-2) - 0) * 1)", "variable": null, "family": "expression_5op", "shape": "(* n (+ n (* (- (/ n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -466, \"b\": 198, \"c\": -79, \"d\": -2, \"e\": 0, \"f\": 1}", "seed": "4363392516146587951", "semantic_fingerprint": "sha256:6aef79b96f25245441da060d2f138f71bfbdc35098873b3245c0cd2f19454d09", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001788", "prompt": "Solve the equation x - 86 = 3(x - 82) + 22 for x.", "solution_steps": ["Expand: x - 86 = 3x - 246 + 22", "Combine constants: x - 86 = 3x - 224", "Subtract 3x from both sides: -2x - 86 = -224", "Add 86 to both sides: -2x = -138", "Divide both sides by -2: x = 69"], "final_answer": "69", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 86 = 3(x - 82) + 22", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 3, \"c\": 82, \"d\": 22}", "seed": "2786619353834660880", "semantic_fingerprint": "sha256:fe96b5e28d3f9220afb6e0942f6e8a408ac18a2262904e7735178e5c9888b488", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001789", "prompt": "Evaluate: -20 * (-5) + (-53 / 17 - (-100))", "solution_steps": ["Multiply: -20 * (-5) = 100", "Divide: -53 / 17 = -53/17", "Subtract: -53/17 - (-100) = 1647/17", "Add: 100 + 1647/17 = 3347/17"], "final_answer": "3347/17", "answer_type": "rational", "kind": "expression", "math_text": "-20 * (-5) + (-53 / 17 - (-100))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": -5, \"c\": -53, \"d\": 17, \"e\": -100}", "seed": "2262063119279283551", "semantic_fingerprint": "sha256:6b18b7be886f16725ca18cbf740137df6905952fdb5ed6eb61c16370dee485da", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001790", "prompt": "What is (0 + (-7)) / (6 / 437)?", "solution_steps": ["Add: 0 + (-7) = -7", "Divide: 6 / 437 = 6/437", "Divide: -7 / (6/437) = -3059/6"], "final_answer": "-3059/6", "answer_type": "rational", "kind": "expression", "math_text": "(0 + (-7)) / (6 / 437)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -7, \"c\": 6, \"d\": 437}", "seed": "8272840829034205861", "semantic_fingerprint": "sha256:ca644cfa18d754144b20404c29cc24e2e82548b28066ebdbc9bf75660ef74666", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001791", "prompt": "Find x: 7(x - 137) + 7 = 8(x + 5) - 995", "solution_steps": ["Expand: 7x - 959 + 7 = 8(x + 5) - 995", "Expand: 7x - 959 + 7 = 8x + 40 - 995", "Combine constants: 7x - 952 = 8x + 40 - 995", "Combine constants: 7x - 952 = 8x - 955", "Subtract 8x from both sides: -x - 952 = -955", "Add 952 to both sides: -x = -3", "Divide both sides by -1: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 137) + 7 = 8(x + 5) - 995", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 137, \"c\": 7, \"d\": 8, \"e\": 5, \"g\": -995, \"x\": 3}", "seed": "4168882377381549736", "semantic_fingerprint": "sha256:843619ed58b147f28cb60d4f44a591dd496ae8afc883e55835e0db639219e4ce", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001792", "prompt": "What is -292 * (-4) / (-49 + (-648))?", "solution_steps": ["Multiply: -292 * (-4) = 1168", "Add: -49 + (-648) = -697", "Divide: 1168 / (-697) = -1168/697"], "final_answer": "-1168/697", "answer_type": "rational", "kind": "expression", "math_text": "-292 * (-4) / (-49 + (-648))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -292, \"b\": -4, \"c\": -49, \"d\": -648}", "seed": "12057396371483505551", "semantic_fingerprint": "sha256:4c75bfcb3f89f7fa19d6f909a9c5b59ad5c89623db8e0236a02e9ee8b18a2bbf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001793", "prompt": "Calculate: (-9 - (-60)) * (832 / 99 / (-37))", "solution_steps": ["Subtract: -9 - (-60) = 51", "Divide: 832 / 99 = 832/99", "Divide: (832/99) / (-37) = -832/3663", "Multiply: 51 * (-832/3663) = -14144/1221"], "final_answer": "-14144/1221", "answer_type": "rational", "kind": "expression", "math_text": "(-9 - (-60)) * (832 / 99 / (-37))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -60, \"c\": 832, \"d\": 99, \"e\": -37}", "seed": "5650961408394578706", "semantic_fingerprint": "sha256:eba9d3c50c96ce31887c2a99c18265b34f6d1fde0e33b13b97c290d9a4a2446a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001794", "prompt": "Solve the equation 6(x - 7) + 605 = -10x + 467 for x.", "solution_steps": ["Expand: 6x - 42 + 605 = -10x + 467", "Combine constants: 6x + 563 = -10x + 467", "Add 10x to both sides: 16x + 563 = 467", "Subtract 563 from both sides: 16x = -96", "Divide both sides by 16: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 7) + 605 = -10x + 467", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": 605, \"d\": -10, \"f\": 467, \"x\": -6}", "seed": "12398572890686612377", "semantic_fingerprint": "sha256:efc822167ee5c3f5066c265871e35b84955e3d83da1f10eba6eb87786fcdfc5a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001795", "prompt": "Calculate: 189 - (-45 * (-75) + 25)", "solution_steps": ["Multiply: -45 * (-75) = 3375", "Add: 3375 + 25 = 3400", "Subtract: 189 - 3400 = -3211"], "final_answer": "-3211", "answer_type": "integer", "kind": "expression", "math_text": "189 - (-45 * (-75) + 25)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 189, \"b\": -45, \"c\": -75, \"d\": 25}", "seed": "9483491679388454472", "semantic_fingerprint": "sha256:7ad1570a81291949c9c5379f74195ae0db9aee821d00edfc2fe28ace7f4fdd30", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001796", "prompt": "Find x: 2(x - 784) + 620 = 10(x + 5) - 910", "solution_steps": ["Expand: 2x - 1568 + 620 = 10(x + 5) - 910", "Expand: 2x - 1568 + 620 = 10x + 50 - 910", "Combine constants: 2x - 948 = 10x + 50 - 910", "Combine constants: 2x - 948 = 10x - 860", "Subtract 10x from both sides: -8x - 948 = -860", "Add 948 to both sides: -8x = 88", "Divide both sides by -8: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 784) + 620 = 10(x + 5) - 910", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 784, \"c\": 620, \"d\": 10, \"e\": 5, \"g\": -910, \"x\": -11}", "seed": "17384278011485744328", "semantic_fingerprint": "sha256:bc18d09fb208001fc58b28f9f284c124d62e781a34ef651a007b5be5fb7a4fc4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001797", "prompt": "Compute: 8 + (-39) - (-5 + 197)", "solution_steps": ["Add: 8 + (-39) = -31", "Add: -5 + 197 = 192", "Subtract: -31 - 192 = -223"], "final_answer": "-223", "answer_type": "integer", "kind": "expression", "math_text": "8 + (-39) - (-5 + 197)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -39, \"c\": -5, \"d\": 197}", "seed": "2976263922006135792", "semantic_fingerprint": "sha256:2e1a93b6c6c45f6926004614ac2861144df3f0c2d8cf60818e9df7ea046a5127", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001798", "prompt": "What value of x satisfies 8(x - 27) + 405 = -8x + 61?", "solution_steps": ["Expand: 8x - 216 + 405 = -8x + 61", "Combine constants: 8x + 189 = -8x + 61", "Add 8x to both sides: 16x + 189 = 61", "Subtract 189 from both sides: 16x = -128", "Divide both sides by 16: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 27) + 405 = -8x + 61", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 27, \"c\": 405, \"d\": -8, \"f\": 61, \"x\": -8}", "seed": "14603731636009315786", "semantic_fingerprint": "sha256:5f64795cff4ba69cfafad768b7cd68252b6edd2ca52a100067b0779f438a3184", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001799", "prompt": "Calculate: (-65 + (-30)) * 14 * (-71 + 404)", "solution_steps": ["Add: -65 + (-30) = -95", "Multiply: -95 * 14 = -1330", "Add: -71 + 404 = 333", "Multiply: -1330 * 333 = -442890"], "final_answer": "-442890", "answer_type": "integer", "kind": "expression", "math_text": "(-65 + (-30)) * 14 * (-71 + 404)", "variable": null, "family": "expression_4op", "shape": "(* (* (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -30, \"c\": 14, \"d\": -71, \"e\": 404}", "seed": "11848990292236808291", "semantic_fingerprint": "sha256:950f8bf7e4d8aeaa547b79b8127761f2bf45114ee33c5de8173013811af9bbcb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001800", "prompt": "What is (2 + (-657) + 16) * (-84)?", "solution_steps": ["Add: 2 + (-657) = -655", "Add: -655 + 16 = -639", "Multiply: -639 * (-84) = 53676"], "final_answer": "53676", "answer_type": "integer", "kind": "expression", "math_text": "(2 + (-657) + 16) * (-84)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -657, \"c\": 16, \"d\": -84}", "seed": "7071452258047530868", "semantic_fingerprint": "sha256:025ce921ca5c3d609a01f50d56b02318abab1a632c305a921eb27157cd4183a9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001801", "prompt": "Find x: 12(x - 43) + 216 = 8(x - 31)", "solution_steps": ["Expand: 12x - 516 + 216 = 8(x - 31)", "Expand: 12x - 516 + 216 = 8x - 248", "Combine constants: 12x - 300 = 8x - 248", "Subtract 8x from both sides: 4x - 300 = -248", "Add 300 to both sides: 4x = 52", "Divide both sides by 4: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 43) + 216 = 8(x - 31)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 43, \"c\": 8, \"d\": 31, \"f\": 216, \"x\": 13}", "seed": "9571536378193039299", "semantic_fingerprint": "sha256:366e33cfdfb16076a9c7602c2978cc3bedd17dc499f298efb2ca8bb049dd0110", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001802", "prompt": "What is -5 + (-6 + 29) - 5?", "solution_steps": ["Add: -6 + 29 = 23", "Add: -5 + 23 = 18", "Subtract: 18 - 5 = 13"], "final_answer": "13", "answer_type": "integer", "kind": "expression", "math_text": "-5 + (-6 + 29) - 5", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -6, \"c\": 29, \"d\": 5}", "seed": "3987154843148364505", "semantic_fingerprint": "sha256:ea50ec74a7ca160dc8177507be237af37fc9d42695483b2b8a8a62f2514e5ef3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001803", "prompt": "What value of x satisfies 11(x + 80) + 47 = 6(x + 79) - 9?", "solution_steps": ["Expand: 11x + 880 + 47 = 6(x + 79) - 9", "Expand: 11x + 880 + 47 = 6x + 474 - 9", "Combine constants: 11x + 927 = 6x + 474 - 9", "Combine constants: 11x + 927 = 6x + 465", "Subtract 6x from both sides: 5x + 927 = 465", "Subtract 927 from both sides: 5x = -462", "Divide both sides by 5: x = -462/5"], "final_answer": "-462/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 80) + 47 = 6(x + 79) - 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 80, \"c\": 47, \"d\": 6, \"e\": 79, \"f\": 9}", "seed": "9405762711425997615", "semantic_fingerprint": "sha256:b294b5cbb0517aae148b4f8e8e809d613bf5943fa2d961e5cce69de35814c4d1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001804", "prompt": "Solve for x: -10x - 23 = -12(x + 75) + 887", "solution_steps": ["Expand: -10x - 23 = -12x - 900 + 887", "Combine constants: -10x - 23 = -12x - 13", "Add 12x to both sides: 2x - 23 = -13", "Add 23 to both sides: 2x = 10", "Divide both sides by 2: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x - 23 = -12(x + 75) + 887", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 23, \"c\": -12, \"d\": 75, \"f\": 887, \"x\": 5}", "seed": "5764250536895602358", "semantic_fingerprint": "sha256:595a578002a56a62229b1b1a8eadc202dc0a1d37526df9ff7835a1a5530f5621", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001805", "prompt": "What is -973 / 43 + (136 - 41) - 96?", "solution_steps": ["Divide: -973 / 43 = -973/43", "Subtract: 136 - 41 = 95", "Add: -973/43 + 95 = 3112/43", "Subtract: 3112/43 - 96 = -1016/43"], "final_answer": "-1016/43", "answer_type": "rational", "kind": "expression", "math_text": "-973 / 43 + (136 - 41) - 96", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -973, \"b\": 43, \"c\": 136, \"d\": 41, \"e\": 96}", "seed": "596758351434080022", "semantic_fingerprint": "sha256:c1bb4a24d0fa759fee73eacdc66cffccac1e432b34457f00717d9d3707dfc4e0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001806", "prompt": "Find x: 3(x - 919) - 1 = 9(x - 68)", "solution_steps": ["Expand: 3x - 2757 - 1 = 9(x - 68)", "Expand: 3x - 2757 - 1 = 9x - 612", "Combine constants: 3x - 2758 = 9x - 612", "Subtract 9x from both sides: -6x - 2758 = -612", "Add 2758 to both sides: -6x = 2146", "Divide both sides by -6: x = -1073/3"], "final_answer": "-1073/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 919) - 1 = 9(x - 68)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 919, \"c\": 1, \"d\": 9, \"e\": 68}", "seed": "7401662224678640560", "semantic_fingerprint": "sha256:760167b11bca555b305636ccf56105759dbead77e362dbe2871890c1c8d35242", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001807", "prompt": "What is 1 * (-746 * 62) - 83?", "solution_steps": ["Multiply: -746 * 62 = -46252", "Multiply: 1 * (-46252) = -46252", "Subtract: -46252 - 83 = -46335"], "final_answer": "-46335", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-746 * 62) - 83", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -746, \"c\": 62, \"d\": 83}", "seed": "1897068421328176587", "semantic_fingerprint": "sha256:48a8bc13d912d8451ad4421273729062ebc4c0a0350c3078da17c7a123c03fcf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001808", "prompt": "Solve the equation 2(x - 285) = 8x - 522 for x.", "solution_steps": ["Expand: 2x - 570 = 8x - 522", "Subtract 8x from both sides: -6x - 570 = -522", "Add 570 to both sides: -6x = 48", "Divide both sides by -6: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 285) = 8x - 522", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 285, \"c\": 8, \"e\": -522, \"x\": -8}", "seed": "15806538145328249643", "semantic_fingerprint": "sha256:dfbb27da39f6716d393d0609189436bd2f2988936946f205877bc8e7f4dfe577", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001809", "prompt": "Solve for x: 7(x + 53) + 9 = 11(x + 86) - 606", "solution_steps": ["Expand: 7x + 371 + 9 = 11(x + 86) - 606", "Expand: 7x + 371 + 9 = 11x + 946 - 606", "Combine constants: 7x + 380 = 11x + 946 - 606", "Combine constants: 7x + 380 = 11x + 340", "Subtract 11x from both sides: -4x + 380 = 340", "Subtract 380 from both sides: -4x = -40", "Divide both sides by -4: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 53) + 9 = 11(x + 86) - 606", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 53, \"c\": 9, \"d\": 11, \"e\": 86, \"g\": -606, \"x\": 10}", "seed": "13204340039628612467", "semantic_fingerprint": "sha256:7f42a4f2e7240d4352163ec9fa884fea26514ed55d0c188062fc82414e7b9e2b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001810", "prompt": "What is -99 + (-860 * 18 - (-515))?", "solution_steps": ["Multiply: -860 * 18 = -15480", "Subtract: -15480 - (-515) = -14965", "Add: -99 + (-14965) = -15064"], "final_answer": "-15064", "answer_type": "integer", "kind": "expression", "math_text": "-99 + (-860 * 18 - (-515))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -860, \"c\": 18, \"d\": -515}", "seed": "5941903124976806868", "semantic_fingerprint": "sha256:85bcc6f51fc760295a5bedba7191bba3bb35d742de795008a7a52cb3bd0b8d6b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001811", "prompt": "Solve the equation 11(x - 4) + 13 = 9(x - 90) for x.", "solution_steps": ["Expand: 11x - 44 + 13 = 9(x - 90)", "Expand: 11x - 44 + 13 = 9x - 810", "Combine constants: 11x - 31 = 9x - 810", "Subtract 9x from both sides: 2x - 31 = -810", "Add 31 to both sides: 2x = -779", "Divide both sides by 2: x = -779/2"], "final_answer": "-779/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 4) + 13 = 9(x - 90)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 13, \"d\": 9, \"e\": 90}", "seed": "12786103460166306401", "semantic_fingerprint": "sha256:889e61052b4275eafc356cd84556cb9ef502a49e7424c8b93520ef8352e2e734", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001812", "prompt": "Calculate: (-851 + 85) * (78 - (-440) - 60)", "solution_steps": ["Add: -851 + 85 = -766", "Subtract: 78 - (-440) = 518", "Subtract: 518 - 60 = 458", "Multiply: -766 * 458 = -350828"], "final_answer": "-350828", "answer_type": "integer", "kind": "expression", "math_text": "(-851 + 85) * (78 - (-440) - 60)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -851, \"b\": 85, \"c\": 78, \"d\": -440, \"e\": 60}", "seed": "5745243824658435711", "semantic_fingerprint": "sha256:ee4b443ded74d02e9c1d8c37ef42bd05bfacb5ec0e9dbd143ad4916c6b918fc0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001813", "prompt": "What is -303 / (-85 * 72 / (-5))?", "solution_steps": ["Multiply: -85 * 72 = -6120", "Divide: -6120 / (-5) = 1224", "Divide: -303 / 1224 = -101/408"], "final_answer": "-101/408", "answer_type": "rational", "kind": "expression", "math_text": "-303 / (-85 * 72 / (-5))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -303, \"b\": -85, \"c\": 72, \"d\": -5}", "seed": "539442664027725215", "semantic_fingerprint": "sha256:afb43508edd17bd17c3b71841821b7f13a3285dc3df06d5b5f063ccc18e86634", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001814", "prompt": "Evaluate: -49 + (-4 * 2 + 864 / 94) / 5", "solution_steps": ["Multiply: -4 * 2 = -8", "Divide: 864 / 94 = 432/47", "Add: -8 + 432/47 = 56/47", "Divide: (56/47) / 5 = 56/235", "Add: -49 + 56/235 = -11459/235"], "final_answer": "-11459/235", "answer_type": "rational", "kind": "expression", "math_text": "-49 + (-4 * 2 + 864 / 94) / 5", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (+ (* n n) (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": -4, \"c\": 2, \"d\": 864, \"e\": 94, \"f\": 5}", "seed": "2977927708800973574", "semantic_fingerprint": "sha256:fc7672239ac0d50dcfff2655caf0d6c6f2facd6b341b53a563acf2f913e898f9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001815", "prompt": "Evaluate: 2 - (-21 - (-34 - (-7)))", "solution_steps": ["Subtract: -34 - (-7) = -27", "Subtract: -21 - (-27) = 6", "Subtract: 2 - 6 = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "2 - (-21 - (-34 - (-7)))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -21, \"c\": -34, \"d\": -7}", "seed": "8207948931753918926", "semantic_fingerprint": "sha256:d5356d316747cd106d97dd502c3eb2089fd06c5e01a7ade1a59f9ffb006c6810", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001816", "prompt": "What value of x satisfies -5(x - 57) + 7 = 6(x - 262)?", "solution_steps": ["Expand: -5x + 285 + 7 = 6(x - 262)", "Expand: -5x + 285 + 7 = 6x - 1572", "Combine constants: -5x + 292 = 6x - 1572", "Subtract 6x from both sides: -11x + 292 = -1572", "Subtract 292 from both sides: -11x = -1864", "Divide both sides by -11: x = 1864/11"], "final_answer": "1864/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 57) + 7 = 6(x - 262)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 57, \"c\": 7, \"d\": 6, \"e\": 262}", "seed": "7972560723176525031", "semantic_fingerprint": "sha256:cb79167c4c016ad96ed01b80153666996737d0f46b58fa631dc01433c724ae3e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001817", "prompt": "What is (-13 + 89) / (5 / (-324))?", "solution_steps": ["Add: -13 + 89 = 76", "Divide: 5 / (-324) = -5/324", "Divide: 76 / (-5/324) = -24624/5"], "final_answer": "-24624/5", "answer_type": "rational", "kind": "expression", "math_text": "(-13 + 89) / (5 / (-324))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 89, \"c\": 5, \"d\": -324}", "seed": "1771399482885039290", "semantic_fingerprint": "sha256:4de8919048b9a6315fbc220c7f1b728259e6cc426198310a0a2d043408b19e45", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001818", "prompt": "Calculate: 63 / (3 * (-5)) - (-4)", "solution_steps": ["Multiply: 3 * (-5) = -15", "Divide: 63 / (-15) = -21/5", "Subtract: -21/5 - (-4) = -1/5"], "final_answer": "-1/5", "answer_type": "rational", "kind": "expression", "math_text": "63 / (3 * (-5)) - (-4)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 3, \"c\": -5, \"d\": -4}", "seed": "1845007258229338249", "semantic_fingerprint": "sha256:e40a316b2286a7972ba78fd77bb8e2676626f2208307c476ac32228a5dcc0aea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001819", "prompt": "What value of x satisfies 2(x - 71) = 10x - 70?", "solution_steps": ["Expand: 2x - 142 = 10x - 70", "Subtract 10x from both sides: -8x - 142 = -70", "Add 142 to both sides: -8x = 72", "Divide both sides by -8: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 71) = 10x - 70", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 71, \"c\": 10, \"e\": -70, \"x\": -9}", "seed": "1227356039120215207", "semantic_fingerprint": "sha256:058af1476de829fc7a3ded5933f14b711f8d4d8e31f1b12fd5996f28469a0c38", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001820", "prompt": "What is 79 + 5 / 4 / 136?", "solution_steps": ["Divide: 5 / 4 = 5/4", "Divide: (5/4) / 136 = 5/544", "Add: 79 + 5/544 = 42981/544"], "final_answer": "42981/544", "answer_type": "rational", "kind": "expression", "math_text": "79 + 5 / 4 / 136", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": 5, \"c\": 4, \"d\": 136}", "seed": "16789530345355921803", "semantic_fingerprint": "sha256:b165824649793c43b25706f7b1b58279904a0488c3321a67d1e530bff18b37f6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001821", "prompt": "Calculate: (-9 - 0 - (-29 - 0)) * 45", "solution_steps": ["Subtract: -9 - 0 = -9", "Subtract: -29 - 0 = -29", "Subtract: -9 - (-29) = 20", "Multiply: 20 * 45 = 900"], "final_answer": "900", "answer_type": "integer", "kind": "expression", "math_text": "(-9 - 0 - (-29 - 0)) * 45", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 0, \"c\": -29, \"d\": 0, \"e\": 45}", "seed": "6253662999145064847", "semantic_fingerprint": "sha256:2d3430997d9277713e9b2739ff06353e699a92b7372b452aba1bf50d990029a2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001822", "prompt": "Evaluate: 6 / (-3 * (-577) / (-5))", "solution_steps": ["Multiply: -3 * (-577) = 1731", "Divide: 1731 / (-5) = -1731/5", "Divide: 6 / (-1731/5) = -10/577"], "final_answer": "-10/577", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-3 * (-577) / (-5))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -3, \"c\": -577, \"d\": -5}", "seed": "18262911096960259731", "semantic_fingerprint": "sha256:8a0d1b525304995e310ccfe6c7c49ba2ba79eee08e7e010ba7a620b851c97790", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001823", "prompt": "Evaluate: (-77 - 6) * (5 * (-4))", "solution_steps": ["Subtract: -77 - 6 = -83", "Multiply: 5 * (-4) = -20", "Multiply: -83 * (-20) = 1660"], "final_answer": "1660", "answer_type": "integer", "kind": "expression", "math_text": "(-77 - 6) * (5 * (-4))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": 6, \"c\": 5, \"d\": -4}", "seed": "1716968461894923247", "semantic_fingerprint": "sha256:cca865477a008117ec1950f5aeebb66244a5b3208cde254ef3f50bbb39959d69", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001824", "prompt": "Evaluate: -5 + 7 - (1 + (-28))", "solution_steps": ["Add: -5 + 7 = 2", "Add: 1 + (-28) = -27", "Subtract: 2 - (-27) = 29"], "final_answer": "29", "answer_type": "integer", "kind": "expression", "math_text": "-5 + 7 - (1 + (-28))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 7, \"c\": 1, \"d\": -28}", "seed": "563847010134010671", "semantic_fingerprint": "sha256:8bc782e9c0958afe59d3d6d1787dc65239f363f11f74bcd1fb284f1bf2a09046", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001825", "prompt": "Calculate: (-323 * 6 / 75 + (61 + 20)) / (-7)", "solution_steps": ["Multiply: -323 * 6 = -1938", "Divide: -1938 / 75 = -646/25", "Add: 61 + 20 = 81", "Add: -646/25 + 81 = 1379/25", "Divide: (1379/25) / (-7) = -197/25"], "final_answer": "-197/25", "answer_type": "rational", "kind": "expression", "math_text": "(-323 * 6 / 75 + (61 + 20)) / (-7)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (/ (* n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -323, \"b\": 6, \"c\": 75, \"d\": 61, \"e\": 20, \"f\": -7}", "seed": "16987091359827369068", "semantic_fingerprint": "sha256:52b70ba2ad2296193813e7c1ba67bee41772c664e016a4886b6feda19fea4451", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001826", "prompt": "Find x: 3(x - 766) + 1 = 11(x + 1) - 43", "solution_steps": ["Expand: 3x - 2298 + 1 = 11(x + 1) - 43", "Expand: 3x - 2298 + 1 = 11x + 11 - 43", "Combine constants: 3x - 2297 = 11x + 11 - 43", "Combine constants: 3x - 2297 = 11x - 32", "Subtract 11x from both sides: -8x - 2297 = -32", "Add 2297 to both sides: -8x = 2265", "Divide both sides by -8: x = -2265/8"], "final_answer": "-2265/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 766) + 1 = 11(x + 1) - 43", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 766, \"c\": 1, \"d\": 11, \"e\": 1, \"f\": 43}", "seed": "13464590529984738637", "semantic_fingerprint": "sha256:017cedb839efd451bc24fc10c7cacf14b58fd46151152c29e545e5ac794060ea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001827", "prompt": "Evaluate: (778 + (-8)) * 65 + (0 - 52 + 8)", "solution_steps": ["Add: 778 + (-8) = 770", "Multiply: 770 * 65 = 50050", "Subtract: 0 - 52 = -52", "Add: -52 + 8 = -44", "Add: 50050 + (-44) = 50006"], "final_answer": "50006", "answer_type": "integer", "kind": "expression", "math_text": "(778 + (-8)) * 65 + (0 - 52 + 8)", "variable": null, "family": "expression_5op", "shape": "(+ (* (+ n n) n) (+ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 778, \"b\": -8, \"c\": 65, \"d\": 0, \"e\": 52, \"f\": 8}", "seed": "11172512842677291435", "semantic_fingerprint": "sha256:6d85c360bb23fa6916711e7c0434daee9eb53fa29a928085e80ca1b231630175", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001828", "prompt": "Compute: (1 * (64 - 61) - (-8 + 781)) * 6", "solution_steps": ["Subtract: 64 - 61 = 3", "Multiply: 1 * 3 = 3", "Add: -8 + 781 = 773", "Subtract: 3 - 773 = -770", "Multiply: -770 * 6 = -4620"], "final_answer": "-4620", "answer_type": "integer", "kind": "expression", "math_text": "(1 * (64 - 61) - (-8 + 781)) * 6", "variable": null, "family": "expression_5op", "shape": "(* (- (* n (- n n)) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 64, \"c\": 61, \"d\": -8, \"e\": 781, \"f\": 6}", "seed": "18211523784275209635", "semantic_fingerprint": "sha256:84780463689c67b52b28261b5379ac4580b16739743d273f8002815babd8de85", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001829", "prompt": "Compute: (-8 - (-82)) * (70 * (-45))", "solution_steps": ["Subtract: -8 - (-82) = 74", "Multiply: 70 * (-45) = -3150", "Multiply: 74 * (-3150) = -233100"], "final_answer": "-233100", "answer_type": "integer", "kind": "expression", "math_text": "(-8 - (-82)) * (70 * (-45))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -82, \"c\": 70, \"d\": -45}", "seed": "11463612285247429486", "semantic_fingerprint": "sha256:fbe5a9ed54d529266a9eaeb21ae8397b931ebbd99587d1435a067d388d94d8b4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001830", "prompt": "Solve for x: x - 422 = 8(x - 91) + 425", "solution_steps": ["Expand: x - 422 = 8x - 728 + 425", "Combine constants: x - 422 = 8x - 303", "Subtract 8x from both sides: -7x - 422 = -303", "Add 422 to both sides: -7x = 119", "Divide both sides by -7: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 422 = 8(x - 91) + 425", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 422, \"b\": 8, \"c\": 91, \"e\": 425, \"x\": -17}", "seed": "3725185154480173925", "semantic_fingerprint": "sha256:5d1eaeb1722a206868a0f840f25b3b63e8585298e6f1521f67530e6ebf123a3b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001831", "prompt": "Evaluate: -4 + 46 * 21 * 677 / 5", "solution_steps": ["Multiply: 46 * 21 = 966", "Multiply: 966 * 677 = 653982", "Divide: 653982 / 5 = 653982/5", "Add: -4 + 653982/5 = 653962/5"], "final_answer": "653962/5", "answer_type": "rational", "kind": "expression", "math_text": "-4 + 46 * 21 * 677 / 5", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (* (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 46, \"c\": 21, \"d\": 677, \"e\": 5}", "seed": "13952739478694027008", "semantic_fingerprint": "sha256:d7f860cfe9c5c4b08586b8c2ecde59fc3b13b4039c5204d2d2b9118708490fb6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001832", "prompt": "Solve for x: -10(x - 4) + 38 = 3(x + 46) - 60", "solution_steps": ["Expand: -10x + 40 + 38 = 3(x + 46) - 60", "Expand: -10x + 40 + 38 = 3x + 138 - 60", "Combine constants: -10x + 78 = 3x + 138 - 60", "Combine constants: -10x + 78 = 3x + 78", "Subtract 3x from both sides: -13x + 78 = 78", "Subtract 78 from both sides: -13x = 0", "Divide both sides by -13: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 4) + 38 = 3(x + 46) - 60", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 4, \"c\": 38, \"d\": 3, \"e\": 46, \"g\": -60, \"x\": 0}", "seed": "4423784735866452574", "semantic_fingerprint": "sha256:6e12dcdc18aab2ed4f7d5516d06fe72fb7c8a997e9a6bc486e711c1cc7042762", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001833", "prompt": "Evaluate: 0 / (-8) + 2 * (2 + (-183))", "solution_steps": ["Divide: 0 / (-8) = 0", "Add: 2 + (-183) = -181", "Multiply: 2 * (-181) = -362", "Add: 0 + (-362) = -362"], "final_answer": "-362", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-8) + 2 * (2 + (-183))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -8, \"c\": 2, \"d\": 2, \"e\": -183}", "seed": "17385725425036152093", "semantic_fingerprint": "sha256:6cd22d2c9d9164d319419d43851b3cc0009c6e432f654393e8f679cfc50d6217", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001834", "prompt": "Solve for x: x - 2 = 2(x - 6) + 8", "solution_steps": ["Expand: x - 2 = 2x - 12 + 8", "Combine constants: x - 2 = 2x - 4", "Subtract 2x from both sides: -x - 2 = -4", "Add 2 to both sides: -x = -2", "Divide both sides by -1: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2 = 2(x - 6) + 8", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 6, \"d\": 8}", "seed": "2717507671464358148", "semantic_fingerprint": "sha256:be9a86f52660b75ba23bf1cca12e89749bb300b2b8cf7cad6f2dd2f65425337a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001835", "prompt": "Evaluate: (2 - 54) * (44 * 403)", "solution_steps": ["Subtract: 2 - 54 = -52", "Multiply: 44 * 403 = 17732", "Multiply: -52 * 17732 = -922064"], "final_answer": "-922064", "answer_type": "integer", "kind": "expression", "math_text": "(2 - 54) * (44 * 403)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 54, \"c\": 44, \"d\": 403}", "seed": "15613190002147199519", "semantic_fingerprint": "sha256:1c7c09adc47661c354f8b1200c31ad9678e4cf3b07ad4118c27146e07abd4d79", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001836", "prompt": "What is (-7 - (-604)) / (83 * (-6))?", "solution_steps": ["Subtract: -7 - (-604) = 597", "Multiply: 83 * (-6) = -498", "Divide: 597 / (-498) = -199/166"], "final_answer": "-199/166", "answer_type": "rational", "kind": "expression", "math_text": "(-7 - (-604)) / (83 * (-6))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -604, \"c\": 83, \"d\": -6}", "seed": "1509572570117075901", "semantic_fingerprint": "sha256:ae7e2cf1d37bad0dba427ce850bed72cd0590313d539ef98e61699f4ab5f188e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001837", "prompt": "Solve for x: x - 872 = 11(x - 7) + 340", "solution_steps": ["Expand: x - 872 = 11x - 77 + 340", "Combine constants: x - 872 = 11x + 263", "Subtract 11x from both sides: -10x - 872 = 263", "Add 872 to both sides: -10x = 1135", "Divide both sides by -10: x = -227/2"], "final_answer": "-227/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 872 = 11(x - 7) + 340", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 872, \"b\": 11, \"c\": 7, \"d\": 340}", "seed": "13148802999288281510", "semantic_fingerprint": "sha256:d40335724501eafabc6b6d20246caa0536573f71ef50bac9190e60df864a2e19", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001838", "prompt": "What is -924 + (-5) - 7 * (-58 / (-39 - (-97)))?", "solution_steps": ["Add: -924 + (-5) = -929", "Subtract: -39 - (-97) = 58", "Divide: -58 / 58 = -1", "Multiply: 7 * (-1) = -7", "Subtract: -929 - (-7) = -922"], "final_answer": "-922", "answer_type": "integer", "kind": "expression", "math_text": "-924 + (-5) - 7 * (-58 / (-39 - (-97)))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (* n (/ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -924, \"b\": -5, \"c\": 7, \"d\": -58, \"e\": -39, \"f\": -97}", "seed": "12287190227952067076", "semantic_fingerprint": "sha256:be57efb589ab1a92de205612e2a304816386c1644da7b96a578ef1c6a450a96c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001839", "prompt": "What value of x satisfies 4(x - 904) - 52 = -5(x - 2) - 22?", "solution_steps": ["Expand: 4x - 3616 - 52 = -5(x - 2) - 22", "Expand: 4x - 3616 - 52 = -5x + 10 - 22", "Combine constants: 4x - 3668 = -5x + 10 - 22", "Combine constants: 4x - 3668 = -5x - 12", "Add 5x to both sides: 9x - 3668 = -12", "Add 3668 to both sides: 9x = 3656", "Divide both sides by 9: x = 3656/9"], "final_answer": "3656/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 904) - 52 = -5(x - 2) - 22", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 904, \"c\": 52, \"d\": -5, \"e\": 2, \"f\": 22}", "seed": "390906876154342882", "semantic_fingerprint": "sha256:703a5bf3d74a2ef1c56c3463a6d655bd6dbcd9fc0ac2ca035bae4c74968c3bc6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001840", "prompt": "What is 855 + 0 - 40 + (-110)?", "solution_steps": ["Add: 855 + 0 = 855", "Subtract: 855 - 40 = 815", "Add: 815 + (-110) = 705"], "final_answer": "705", "answer_type": "integer", "kind": "expression", "math_text": "855 + 0 - 40 + (-110)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 855, \"b\": 0, \"c\": 40, \"d\": -110}", "seed": "1205024295049852537", "semantic_fingerprint": "sha256:cbfed6055dec756127572860be4aa5bc3037c4163f848487b23caa7d60018b90", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001841", "prompt": "What is (-6 - (-75)) * (3 / 342)?", "solution_steps": ["Subtract: -6 - (-75) = 69", "Divide: 3 / 342 = 1/114", "Multiply: 69 * (1/114) = 23/38"], "final_answer": "23/38", "answer_type": "rational", "kind": "expression", "math_text": "(-6 - (-75)) * (3 / 342)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -75, \"c\": 3, \"d\": 342}", "seed": "7631676431592647229", "semantic_fingerprint": "sha256:089eefd5736b55344e9f3212540a9c7ee490f4ed889a63fa783255111bc68510", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001842", "prompt": "Calculate: -4 * (-54 + 71) + (78 / 951 - 46)", "solution_steps": ["Add: -54 + 71 = 17", "Multiply: -4 * 17 = -68", "Divide: 78 / 951 = 26/317", "Subtract: 26/317 - 46 = -14556/317", "Add: -68 + (-14556/317) = -36112/317"], "final_answer": "-36112/317", "answer_type": "rational", "kind": "expression", "math_text": "-4 * (-54 + 71) + (78 / 951 - 46)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ n n)) (- (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -54, \"c\": 71, \"d\": 78, \"e\": 951, \"f\": 46}", "seed": "14652054449427279821", "semantic_fingerprint": "sha256:566918bbc9347e9ee5be01d8378d6fe1616b47b1345b25c0b4d5b21e7051f676", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001843", "prompt": "Compute: (32 - (-920)) * (-18 / (-96) / (-64))", "solution_steps": ["Subtract: 32 - (-920) = 952", "Divide: -18 / (-96) = 3/16", "Divide: (3/16) / (-64) = -3/1024", "Multiply: 952 * (-3/1024) = -357/128"], "final_answer": "-357/128", "answer_type": "rational", "kind": "expression", "math_text": "(32 - (-920)) * (-18 / (-96) / (-64))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -920, \"c\": -18, \"d\": -96, \"e\": -64}", "seed": "18301300667311025120", "semantic_fingerprint": "sha256:d16c0402dbe7c9995bd200d8de447b0397d445d3b8f0d1de08e020132c1ae62a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001844", "prompt": "What value of x satisfies 5(x - 56) = -8x - 540?", "solution_steps": ["Expand: 5x - 280 = -8x - 540", "Add 8x to both sides: 13x - 280 = -540", "Add 280 to both sides: 13x = -260", "Divide both sides by 13: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 56) = -8x - 540", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 56, \"c\": -8, \"e\": -540, \"x\": -20}", "seed": "13769035731134751171", "semantic_fingerprint": "sha256:e2969d3d4d7ef18a7335a1ac242f0f6f21e6479706c9b29e46365e80e5e7d80a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001845", "prompt": "What is (64 + (-54)) * ((12 / 9 - 28) / (-34))?", "solution_steps": ["Add: 64 + (-54) = 10", "Divide: 12 / 9 = 4/3", "Subtract: 4/3 - 28 = -80/3", "Divide: (-80/3) / (-34) = 40/51", "Multiply: 10 * (40/51) = 400/51"], "final_answer": "400/51", "answer_type": "rational", "kind": "expression", "math_text": "(64 + (-54)) * ((12 / 9 - 28) / (-34))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (/ (- (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": -54, \"c\": 12, \"d\": 9, \"e\": 28, \"f\": -34}", "seed": "14195404122232234990", "semantic_fingerprint": "sha256:fa431b2e3d6c33a7de4a3a90caca1cb7ebb96b0547d2c1b4eb6088c361de1763", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001846", "prompt": "Calculate: -9 + 80 - 423 / 2 + (-818) / 131", "solution_steps": ["Add: -9 + 80 = 71", "Divide: 423 / 2 = 423/2", "Subtract: 71 - 423/2 = -281/2", "Divide: -818 / 131 = -818/131", "Add: -281/2 + (-818/131) = -38447/262"], "final_answer": "-38447/262", "answer_type": "rational", "kind": "expression", "math_text": "-9 + 80 - 423 / 2 + (-818) / 131", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n n) (/ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 80, \"c\": 423, \"d\": 2, \"e\": -818, \"f\": 131}", "seed": "5070058715201870587", "semantic_fingerprint": "sha256:ed30c7ac78ebe36d85e10ea17115300dd2932a42b7b0058ebf8bcc77484ff563", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001847", "prompt": "Compute: (-799 - (-838)) * (-320 - (2 - (-447) - 338))", "solution_steps": ["Subtract: -799 - (-838) = 39", "Subtract: 2 - (-447) = 449", "Subtract: 449 - 338 = 111", "Subtract: -320 - 111 = -431", "Multiply: 39 * (-431) = -16809"], "final_answer": "-16809", "answer_type": "integer", "kind": "expression", "math_text": "(-799 - (-838)) * (-320 - (2 - (-447) - 338))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (- n (- (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -799, \"b\": -838, \"c\": -320, \"d\": 2, \"e\": -447, \"f\": 338}", "seed": "1924745771170001501", "semantic_fingerprint": "sha256:d4a117d452eb5cd9a8063c17a1521e4ad31bb492bd551cc7bcf19779c679de90", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001848", "prompt": "Compute: (-315 - 75 + (2 + 96)) * (-43 + 701)", "solution_steps": ["Subtract: -315 - 75 = -390", "Add: 2 + 96 = 98", "Add: -390 + 98 = -292", "Add: -43 + 701 = 658", "Multiply: -292 * 658 = -192136"], "final_answer": "-192136", "answer_type": "integer", "kind": "expression", "math_text": "(-315 - 75 + (2 + 96)) * (-43 + 701)", "variable": null, "family": "expression_5op", "shape": "(* (+ (- n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -315, \"b\": 75, \"c\": 2, \"d\": 96, \"e\": -43, \"f\": 701}", "seed": "1013528935746839182", "semantic_fingerprint": "sha256:36a4f8d0c3fd173e9608eb1c8c40f872eac02909b0168434a404a78c3694bc0c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001849", "prompt": "Find x: 12(x - 57) + 82 = 2(x + 9) - 710", "solution_steps": ["Expand: 12x - 684 + 82 = 2(x + 9) - 710", "Expand: 12x - 684 + 82 = 2x + 18 - 710", "Combine constants: 12x - 602 = 2x + 18 - 710", "Combine constants: 12x - 602 = 2x - 692", "Subtract 2x from both sides: 10x - 602 = -692", "Add 602 to both sides: 10x = -90", "Divide both sides by 10: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 57) + 82 = 2(x + 9) - 710", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 57, \"c\": 82, \"d\": 2, \"e\": 9, \"g\": -710, \"x\": -9}", "seed": "8030999561054238120", "semantic_fingerprint": "sha256:368e88e362fa8ad758385c76d5cd5ce6c304c635aa7478155fac6debbec9f851", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001850", "prompt": "What is -9 * 7 / (8 + 83)?", "solution_steps": ["Multiply: -9 * 7 = -63", "Add: 8 + 83 = 91", "Divide: -63 / 91 = -9/13"], "final_answer": "-9/13", "answer_type": "rational", "kind": "expression", "math_text": "-9 * 7 / (8 + 83)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 7, \"c\": 8, \"d\": 83}", "seed": "5362457189744752785", "semantic_fingerprint": "sha256:5ac2d70f5db3ff3b7cc2d02a872f13f2d59e43dc5201164e9a41a99f2b9c8a6a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001851", "prompt": "Compute: (0 + 51 - (-24)) / (-66 / 3)", "solution_steps": ["Add: 0 + 51 = 51", "Subtract: 51 - (-24) = 75", "Divide: -66 / 3 = -22", "Divide: 75 / (-22) = -75/22"], "final_answer": "-75/22", "answer_type": "rational", "kind": "expression", "math_text": "(0 + 51 - (-24)) / (-66 / 3)", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 51, \"c\": -24, \"d\": -66, \"e\": 3}", "seed": "4158672206660325835", "semantic_fingerprint": "sha256:8c95037b17e7719e5dceadd04e0e6a956ee7513c7e8cc4c8fb7eac18a98b7093", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001852", "prompt": "Find x: x - 25 = 9(x - 99) + 834", "solution_steps": ["Expand: x - 25 = 9x - 891 + 834", "Combine constants: x - 25 = 9x - 57", "Subtract 9x from both sides: -8x - 25 = -57", "Add 25 to both sides: -8x = -32", "Divide both sides by -8: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 25 = 9(x - 99) + 834", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": 9, \"c\": 99, \"e\": 834, \"x\": 4}", "seed": "2499401683072006708", "semantic_fingerprint": "sha256:487d5f850448cac774b6f7321e3df7624bc53fdcc4322ce11f746bf955eaf7ce", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001853", "prompt": "Compute: (-9 - 44 - (-2 + (4 - 832))) * 18", "solution_steps": ["Subtract: -9 - 44 = -53", "Subtract: 4 - 832 = -828", "Add: -2 + (-828) = -830", "Subtract: -53 - (-830) = 777", "Multiply: 777 * 18 = 13986"], "final_answer": "13986", "answer_type": "integer", "kind": "expression", "math_text": "(-9 - 44 - (-2 + (4 - 832))) * 18", "variable": null, "family": "expression_5op", "shape": "(* (- (- n n) (+ n (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 44, \"c\": -2, \"d\": 4, \"e\": 832, \"f\": 18}", "seed": "9263215286108823138", "semantic_fingerprint": "sha256:1cafe82fe5348c6ebb5d43674d31d0052d94498fdfa2e39fc910e86eaff8f69f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001854", "prompt": "Solve the equation 7(x - 9) + 2 = 12x + 147 for x.", "solution_steps": ["Expand: 7x - 63 + 2 = 12x + 147", "Combine constants: 7x - 61 = 12x + 147", "Subtract 12x from both sides: -5x - 61 = 147", "Add 61 to both sides: -5x = 208", "Divide both sides by -5: x = -208/5"], "final_answer": "-208/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 9) + 2 = 12x + 147", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 2, \"d\": 12, \"e\": 147}", "seed": "7420537325636761525", "semantic_fingerprint": "sha256:14838d79d568bfc1093acb214e46429f874f45ee0ab0ceeef8f008568e0503e4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001855", "prompt": "Evaluate: 417 * (-632) + 98 - (-662 + 13) - 70", "solution_steps": ["Multiply: 417 * (-632) = -263544", "Add: -263544 + 98 = -263446", "Add: -662 + 13 = -649", "Subtract: -263446 - (-649) = -262797", "Subtract: -262797 - 70 = -262867"], "final_answer": "-262867", "answer_type": "integer", "kind": "expression", "math_text": "417 * (-632) + 98 - (-662 + 13) - 70", "variable": null, "family": "expression_5op", "shape": "(- (- (+ (* n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 417, \"b\": -632, \"c\": 98, \"d\": -662, \"e\": 13, \"f\": 70}", "seed": "1027889810166125654", "semantic_fingerprint": "sha256:09951aa52976a2e6a2dda03720e6b58c2539423a14a6785e9f61d3b33e59917d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001856", "prompt": "What is 499 / (-3) - (-852 - (-1) + 36)?", "solution_steps": ["Divide: 499 / (-3) = -499/3", "Subtract: -852 - (-1) = -851", "Add: -851 + 36 = -815", "Subtract: -499/3 - (-815) = 1946/3"], "final_answer": "1946/3", "answer_type": "rational", "kind": "expression", "math_text": "499 / (-3) - (-852 - (-1) + 36)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 499, \"b\": -3, \"c\": -852, \"d\": -1, \"e\": 36}", "seed": "12142508171560917948", "semantic_fingerprint": "sha256:6e89aa140b405af693fc8801395ce1668f0b83fa2e7a00c3aa41e36eec41dd21", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001857", "prompt": "What value of x satisfies 6(x + 5) + 7 = 10(x + 3) - 13?", "solution_steps": ["Expand: 6x + 30 + 7 = 10(x + 3) - 13", "Expand: 6x + 30 + 7 = 10x + 30 - 13", "Combine constants: 6x + 37 = 10x + 30 - 13", "Combine constants: 6x + 37 = 10x + 17", "Subtract 10x from both sides: -4x + 37 = 17", "Subtract 37 from both sides: -4x = -20", "Divide both sides by -4: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 5) + 7 = 10(x + 3) - 13", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 7, \"d\": 10, \"e\": 3, \"g\": -13, \"x\": 5}", "seed": "17374011835570124593", "semantic_fingerprint": "sha256:61ddb43e7f998cb83b6d45046e1d0c52c6466d392f6e0020f9266b7ae079c87e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001858", "prompt": "Solve for x: -8(x - 196) - 83 = 3(x - 56) - 931", "solution_steps": ["Expand: -8x + 1568 - 83 = 3(x - 56) - 931", "Expand: -8x + 1568 - 83 = 3x - 168 - 931", "Combine constants: -8x + 1485 = 3x - 168 - 931", "Combine constants: -8x + 1485 = 3x - 1099", "Subtract 3x from both sides: -11x + 1485 = -1099", "Subtract 1485 from both sides: -11x = -2584", "Divide both sides by -11: x = 2584/11"], "final_answer": "2584/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 196) - 83 = 3(x - 56) - 931", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 196, \"c\": 83, \"d\": 3, \"e\": 56, \"f\": 931}", "seed": "13082363543052590145", "semantic_fingerprint": "sha256:29955e84a58e8cad4c96009422f4cad00e5978d0e78a77972c7db261f6cfbe95", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001859", "prompt": "Solve the equation -10(x - 53) + 25 = 3x + 44 for x.", "solution_steps": ["Expand: -10x + 530 + 25 = 3x + 44", "Combine constants: -10x + 555 = 3x + 44", "Subtract 3x from both sides: -13x + 555 = 44", "Subtract 555 from both sides: -13x = -511", "Divide both sides by -13: x = 511/13"], "final_answer": "511/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 53) + 25 = 3x + 44", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 53, \"c\": 25, \"d\": 3, \"e\": 44}", "seed": "16685507661726204112", "semantic_fingerprint": "sha256:05729f43d8f0fe18b7c57e49abc4c31c5bad6bca768603c2fa703111eee503a3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001860", "prompt": "Solve the equation -12(x + 7) - 1 = x - 319 for x.", "solution_steps": ["Expand: -12x - 84 - 1 = x - 319", "Combine constants: -12x - 85 = x - 319", "Subtract x from both sides: -13x - 85 = -319", "Add 85 to both sides: -13x = -234", "Divide both sides by -13: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 7) - 1 = x - 319", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 7, \"c\": 1, \"e\": -319, \"x\": 18}", "seed": "13118620021418623460", "semantic_fingerprint": "sha256:f9abaa7a0a1626c2d50eb080c365bd2b039ac4ca5bb18986e2c70b91fd6e3573", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001861", "prompt": "Evaluate: (-286 + 6) / (57 / (-778))", "solution_steps": ["Add: -286 + 6 = -280", "Divide: 57 / (-778) = -57/778", "Divide: -280 / (-57/778) = 217840/57"], "final_answer": "217840/57", "answer_type": "rational", "kind": "expression", "math_text": "(-286 + 6) / (57 / (-778))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -286, \"b\": 6, \"c\": 57, \"d\": -778}", "seed": "1979296315649074034", "semantic_fingerprint": "sha256:f75f6d2ae514ff22abd585e60ce6a7230893223fa2738f235c33525be5601ed5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001862", "prompt": "Compute: (-2 - (-78)) * (-3 * 104)", "solution_steps": ["Subtract: -2 - (-78) = 76", "Multiply: -3 * 104 = -312", "Multiply: 76 * (-312) = -23712"], "final_answer": "-23712", "answer_type": "integer", "kind": "expression", "math_text": "(-2 - (-78)) * (-3 * 104)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -78, \"c\": -3, \"d\": 104}", "seed": "10743768965812112679", "semantic_fingerprint": "sha256:3b38a1163fe13350e8aa3fae811193d70e49acb6329c5448d98ec07c1419cc2e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001863", "prompt": "Evaluate: -79 + (-41 - 25) / (-3 / (2 + (-8)))", "solution_steps": ["Subtract: -41 - 25 = -66", "Add: 2 + (-8) = -6", "Divide: -3 / (-6) = 1/2", "Divide: -66 / (1/2) = -132", "Add: -79 + (-132) = -211"], "final_answer": "-211", "answer_type": "integer", "kind": "expression", "math_text": "-79 + (-41 - 25) / (-3 / (2 + (-8)))", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (- n n) (/ n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -41, \"c\": 25, \"d\": -3, \"e\": 2, \"f\": -8}", "seed": "16679578393987276250", "semantic_fingerprint": "sha256:b1ec244587a7748489996ef3d680f40855a7992e9757e5acdc4bebfe5e4a972c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001864", "prompt": "Calculate: (65 + (-36) * (-570)) * 1 + 12", "solution_steps": ["Multiply: -36 * (-570) = 20520", "Add: 65 + 20520 = 20585", "Multiply: 20585 * 1 = 20585", "Add: 20585 + 12 = 20597"], "final_answer": "20597", "answer_type": "integer", "kind": "expression", "math_text": "(65 + (-36) * (-570)) * 1 + 12", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -36, \"c\": -570, \"d\": 1, \"e\": 12}", "seed": "9332992404309441526", "semantic_fingerprint": "sha256:809c130ff386f7422e6ddf38bc53fb925b78ae2a1bf652f50c4264efad380b28", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001865", "prompt": "What is -43 * (-14 * (0 - 461))?", "solution_steps": ["Subtract: 0 - 461 = -461", "Multiply: -14 * (-461) = 6454", "Multiply: -43 * 6454 = -277522"], "final_answer": "-277522", "answer_type": "integer", "kind": "expression", "math_text": "-43 * (-14 * (0 - 461))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": -14, \"c\": 0, \"d\": 461}", "seed": "1292484326792880892", "semantic_fingerprint": "sha256:bc11c594e9abc4d706a8dd13fedc3e080ba24494524a3d00d6389bfe1fbacd36", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001866", "prompt": "What value of x satisfies 6x - 55 = -5(x + 1) + 104?", "solution_steps": ["Expand: 6x - 55 = -5x - 5 + 104", "Combine constants: 6x - 55 = -5x + 99", "Add 5x to both sides: 11x - 55 = 99", "Add 55 to both sides: 11x = 154", "Divide both sides by 11: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 55 = -5(x + 1) + 104", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 55, \"c\": -5, \"d\": 1, \"f\": 104, \"x\": 14}", "seed": "10054546931735575169", "semantic_fingerprint": "sha256:7588a9afe8c530c8c92818235baf3e324d788aceee8cbb93032cddfe66892d31", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001867", "prompt": "Find x: -11(x - 11) + 5 = 7(x - 21)", "solution_steps": ["Expand: -11x + 121 + 5 = 7(x - 21)", "Expand: -11x + 121 + 5 = 7x - 147", "Combine constants: -11x + 126 = 7x - 147", "Subtract 7x from both sides: -18x + 126 = -147", "Subtract 126 from both sides: -18x = -273", "Divide both sides by -18: x = 91/6"], "final_answer": "91/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 11) + 5 = 7(x - 21)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 11, \"c\": 5, \"d\": 7, \"e\": 21}", "seed": "14115860362624357558", "semantic_fingerprint": "sha256:949c34f5b9ef3d45ffb3272d42eecae1e494ac2b6aca9c8f0fd9ffd36200533b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001868", "prompt": "Compute: (367 - 6) * (-1 / (-57))", "solution_steps": ["Subtract: 367 - 6 = 361", "Divide: -1 / (-57) = 1/57", "Multiply: 361 * (1/57) = 19/3"], "final_answer": "19/3", "answer_type": "rational", "kind": "expression", "math_text": "(367 - 6) * (-1 / (-57))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 367, \"b\": 6, \"c\": -1, \"d\": -57}", "seed": "5149105643341031848", "semantic_fingerprint": "sha256:34e42b86af901390568a4da53cc4f6092042ddc102f7ffda766a6be90752f42e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001869", "prompt": "Find x: 8(x - 87) + 530 = 9(x + 4) - 215", "solution_steps": ["Expand: 8x - 696 + 530 = 9(x + 4) - 215", "Expand: 8x - 696 + 530 = 9x + 36 - 215", "Combine constants: 8x - 166 = 9x + 36 - 215", "Combine constants: 8x - 166 = 9x - 179", "Subtract 9x from both sides: -x - 166 = -179", "Add 166 to both sides: -x = -13", "Divide both sides by -1: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 87) + 530 = 9(x + 4) - 215", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 87, \"c\": 530, \"d\": 9, \"e\": 4, \"g\": -215, \"x\": 13}", "seed": "12212116238538764905", "semantic_fingerprint": "sha256:cde6cf7d668288d136a12a286a312e406c4b3473c536200aa38f70fa4f44a78a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001870", "prompt": "Compute: 94 - (3 - 536 - (-321)) - 5 / 8", "solution_steps": ["Subtract: 3 - 536 = -533", "Subtract: -533 - (-321) = -212", "Subtract: 94 - (-212) = 306", "Divide: 5 / 8 = 5/8", "Subtract: 306 - 5/8 = 2443/8"], "final_answer": "2443/8", "answer_type": "rational", "kind": "expression", "math_text": "94 - (3 - 536 - (-321)) - 5 / 8", "variable": null, "family": "expression_5op", "shape": "(- (- n (- (- n n) n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 3, \"c\": 536, \"d\": -321, \"e\": 5, \"f\": 8}", "seed": "11833507769029150142", "semantic_fingerprint": "sha256:eae7fa1bb798d6d78608507c454a1c0bd2945aba2c7a010fa9b3806b67f0a664", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001871", "prompt": "What is 93 + 661 - (-64 + 9) - 29 / 81?", "solution_steps": ["Add: 93 + 661 = 754", "Add: -64 + 9 = -55", "Subtract: 754 - (-55) = 809", "Divide: 29 / 81 = 29/81", "Subtract: 809 - 29/81 = 65500/81"], "final_answer": "65500/81", "answer_type": "rational", "kind": "expression", "math_text": "93 + 661 - (-64 + 9) - 29 / 81", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n n) (+ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 661, \"c\": -64, \"d\": 9, \"e\": 29, \"f\": 81}", "seed": "11570603029710457146", "semantic_fingerprint": "sha256:8dbcad0151f52e84a2e8bc8c5a0d9c2c695acf39b9a5ca9df3bad15b79ca3769", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001872", "prompt": "Calculate: 3 - (78 + (-97)) + 0", "solution_steps": ["Add: 78 + (-97) = -19", "Subtract: 3 - (-19) = 22", "Add: 22 + 0 = 22"], "final_answer": "22", "answer_type": "integer", "kind": "expression", "math_text": "3 - (78 + (-97)) + 0", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 78, \"c\": -97, \"d\": 0}", "seed": "5479075344989907057", "semantic_fingerprint": "sha256:dd80ddde01042e16568eea33d1da64faf11b45ce88657f4424fa6adc13ad1173", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001873", "prompt": "Evaluate: -99 * (-75) / (-19 + (-34))", "solution_steps": ["Multiply: -99 * (-75) = 7425", "Add: -19 + (-34) = -53", "Divide: 7425 / (-53) = -7425/53"], "final_answer": "-7425/53", "answer_type": "rational", "kind": "expression", "math_text": "-99 * (-75) / (-19 + (-34))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -75, \"c\": -19, \"d\": -34}", "seed": "9377685538583217623", "semantic_fingerprint": "sha256:ba52dff2bec59dce6ab8d8407e077d3294068ada39e3d7a23107b95e69416ecf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001874", "prompt": "Calculate: -4 - 1 / (-4 / (-39))", "solution_steps": ["Divide: -4 / (-39) = 4/39", "Divide: 1 / (4/39) = 39/4", "Subtract: -4 - 39/4 = -55/4"], "final_answer": "-55/4", "answer_type": "rational", "kind": "expression", "math_text": "-4 - 1 / (-4 / (-39))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 1, \"c\": -4, \"d\": -39}", "seed": "1026320124029430537", "semantic_fingerprint": "sha256:6701c524661726fa8ec733c5006f2a39c5d250e2718886528f97e86227fcc976", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001875", "prompt": "Evaluate: -5 * (162 * (-38 - 9))", "solution_steps": ["Subtract: -38 - 9 = -47", "Multiply: 162 * (-47) = -7614", "Multiply: -5 * (-7614) = 38070"], "final_answer": "38070", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (162 * (-38 - 9))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 162, \"c\": -38, \"d\": 9}", "seed": "11880236717809813773", "semantic_fingerprint": "sha256:b7a24e2c327152e7c7807919154888173ceed67bcb3f482c3bfe5419ea32ca57", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001876", "prompt": "Find x: -2(x + 3) - 3 = x - 54", "solution_steps": ["Expand: -2x - 6 - 3 = x - 54", "Combine constants: -2x - 9 = x - 54", "Subtract x from both sides: -3x - 9 = -54", "Add 9 to both sides: -3x = -45", "Divide both sides by -3: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 3) - 3 = x - 54", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 3, \"c\": 3, \"e\": -54, \"x\": 15}", "seed": "14222133377242388883", "semantic_fingerprint": "sha256:b3d282ded6caefa34cef55b78412c1f45d6bea137830b4feb3d9a0298338b89f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001877", "prompt": "What value of x satisfies -9(x + 73) - 313 = x - 53?", "solution_steps": ["Expand: -9x - 657 - 313 = x - 53", "Combine constants: -9x - 970 = x - 53", "Subtract x from both sides: -10x - 970 = -53", "Add 970 to both sides: -10x = 917", "Divide both sides by -10: x = -917/10"], "final_answer": "-917/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 73) - 313 = x - 53", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 73, \"c\": 313, \"d\": 53}", "seed": "14844586712381819554", "semantic_fingerprint": "sha256:0bcb3cf83798416df3a923d83fd7178cd5a3c41f7da63617112e3a84e92cef61", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001878", "prompt": "Solve the equation -12(x - 77) = 8x - 108 for x.", "solution_steps": ["Expand: -12x + 924 = 8x - 108", "Subtract 8x from both sides: -20x + 924 = -108", "Subtract 924 from both sides: -20x = -1032", "Divide both sides by -20: x = 258/5"], "final_answer": "258/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 77) = 8x - 108", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 77, \"c\": 8, \"d\": 108}", "seed": "12735958239661990163", "semantic_fingerprint": "sha256:3b48d9da34fc041d98434759fac4dffd52db9b84c7b37e72f65973d8bdd726f5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001879", "prompt": "Compute: -189 * (3 / 96 / 46)", "solution_steps": ["Divide: 3 / 96 = 1/32", "Divide: (1/32) / 46 = 1/1472", "Multiply: -189 * (1/1472) = -189/1472"], "final_answer": "-189/1472", "answer_type": "rational", "kind": "expression", "math_text": "-189 * (3 / 96 / 46)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -189, \"b\": 3, \"c\": 96, \"d\": 46}", "seed": "8752134249985282843", "semantic_fingerprint": "sha256:4344daf80beb2ff9b82fa8104c9b97b72c2e9d70e77399f468257204a29b0e29", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001880", "prompt": "Solve the equation 11(x - 65) + 185 = 8(x - 70) for x.", "solution_steps": ["Expand: 11x - 715 + 185 = 8(x - 70)", "Expand: 11x - 715 + 185 = 8x - 560", "Combine constants: 11x - 530 = 8x - 560", "Subtract 8x from both sides: 3x - 530 = -560", "Add 530 to both sides: 3x = -30", "Divide both sides by 3: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 65) + 185 = 8(x - 70)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 65, \"c\": 8, \"d\": 70, \"f\": 185, \"x\": -10}", "seed": "16281693817660442802", "semantic_fingerprint": "sha256:2e49e726fbfbd47243e1a70fadf5567a888630e83fa21e729b541d9e77cec786", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001881", "prompt": "Evaluate: -8 - (83 + (4 - (-29)))", "solution_steps": ["Subtract: 4 - (-29) = 33", "Add: 83 + 33 = 116", "Subtract: -8 - 116 = -124"], "final_answer": "-124", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (83 + (4 - (-29)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 83, \"c\": 4, \"d\": -29}", "seed": "11497048396301467037", "semantic_fingerprint": "sha256:2348c408ee0a31570634e554b66901231a7f3fb91bb68e8c4b9f3ab15b5720b4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001882", "prompt": "Compute: 1 / 1 + (-74 - 44 * 5 - (-55))", "solution_steps": ["Divide: 1 / 1 = 1", "Multiply: 44 * 5 = 220", "Subtract: -74 - 220 = -294", "Subtract: -294 - (-55) = -239", "Add: 1 + (-239) = -238"], "final_answer": "-238", "answer_type": "integer", "kind": "expression", "math_text": "1 / 1 + (-74 - 44 * 5 - (-55))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (- (- n (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 1, \"c\": -74, \"d\": 44, \"e\": 5, \"f\": -55}", "seed": "7614241242081488992", "semantic_fingerprint": "sha256:fb44115a7a8a5eca9aab536c53684d1d25ffa1ece79dbd304db7e4d95ffa178e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001883", "prompt": "What is (-9 + (-446) + (-38)) * (-381)?", "solution_steps": ["Add: -9 + (-446) = -455", "Add: -455 + (-38) = -493", "Multiply: -493 * (-381) = 187833"], "final_answer": "187833", "answer_type": "integer", "kind": "expression", "math_text": "(-9 + (-446) + (-38)) * (-381)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -446, \"c\": -38, \"d\": -381}", "seed": "10520037188082608763", "semantic_fingerprint": "sha256:0e4554002f1e76f41208565e3dfe1f19297986807e8ffe7d3d588a37f0ed9581", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001884", "prompt": "Calculate: -93 / (4 + (-26) * 0 - (509 - 85))", "solution_steps": ["Multiply: -26 * 0 = 0", "Add: 4 + 0 = 4", "Subtract: 509 - 85 = 424", "Subtract: 4 - 424 = -420", "Divide: -93 / (-420) = 31/140"], "final_answer": "31/140", "answer_type": "rational", "kind": "expression", "math_text": "-93 / (4 + (-26) * 0 - (509 - 85))", "variable": null, "family": "expression_5op", "shape": "(/ n (- (+ n (* n n)) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": 4, \"c\": -26, \"d\": 0, \"e\": 509, \"f\": 85}", "seed": "3632764139097445864", "semantic_fingerprint": "sha256:035ce1b469f3e9c2c3f3dea3a65f63d92cab9b04dcd21477bfeaacf6bf339a0e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001885", "prompt": "Evaluate: 666 / (-73) + (51 - (-33) - (-1))", "solution_steps": ["Divide: 666 / (-73) = -666/73", "Subtract: 51 - (-33) = 84", "Subtract: 84 - (-1) = 85", "Add: -666/73 + 85 = 5539/73"], "final_answer": "5539/73", "answer_type": "rational", "kind": "expression", "math_text": "666 / (-73) + (51 - (-33) - (-1))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 666, \"b\": -73, \"c\": 51, \"d\": -33, \"e\": -1}", "seed": "18017526020069127167", "semantic_fingerprint": "sha256:812c992b7c377511112ab31e3de6054976c813953877da45425c061473756a3a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001886", "prompt": "Compute: -839 - (-14) - 6 / (-1) * (-30) / 1", "solution_steps": ["Subtract: -839 - (-14) = -825", "Divide: 6 / (-1) = -6", "Multiply: -6 * (-30) = 180", "Divide: 180 / 1 = 180", "Subtract: -825 - 180 = -1005"], "final_answer": "-1005", "answer_type": "integer", "kind": "expression", "math_text": "-839 - (-14) - 6 / (-1) * (-30) / 1", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (/ (* (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -839, \"b\": -14, \"c\": 6, \"d\": -1, \"e\": -30, \"f\": 1}", "seed": "16883768015365256832", "semantic_fingerprint": "sha256:1f611ab7ca56b415930a4690c22b06398b6b75e68bee5e28767bb1fa65018522", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001887", "prompt": "What is -8 + 13 - (4 + 1)?", "solution_steps": ["Add: -8 + 13 = 5", "Add: 4 + 1 = 5", "Subtract: 5 - 5 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-8 + 13 - (4 + 1)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 13, \"c\": 4, \"d\": 1}", "seed": "8101595289895110129", "semantic_fingerprint": "sha256:d80d717fe2a73bb085bf4745faab73526b3a0b3c70ab8502ed9fd3ce6b14821d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001888", "prompt": "Evaluate: (-5 + 5) / (-939 * (3 * (-8))) + 2", "solution_steps": ["Add: -5 + 5 = 0", "Multiply: 3 * (-8) = -24", "Multiply: -939 * (-24) = 22536", "Divide: 0 / 22536 = 0", "Add: 0 + 2 = 2"], "final_answer": "2", "answer_type": "integer", "kind": "expression", "math_text": "(-5 + 5) / (-939 * (3 * (-8))) + 2", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ n n) (* n (* n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 5, \"c\": -939, \"d\": 3, \"e\": -8, \"f\": 2}", "seed": "4636316932385834917", "semantic_fingerprint": "sha256:e190d01017b1897d76d82509bd8e285a610dfa4aa6c514dc367d4cdd31995fa9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001889", "prompt": "Calculate: -4 + (-49 + (-4)) - 0", "solution_steps": ["Add: -49 + (-4) = -53", "Add: -4 + (-53) = -57", "Subtract: -57 - 0 = -57"], "final_answer": "-57", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (-49 + (-4)) - 0", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -49, \"c\": -4, \"d\": 0}", "seed": "3877081067150593725", "semantic_fingerprint": "sha256:616a86c6c9c5f8a6fed7bc5df26439194cb66c8dd187a7442adfea9ee673c313", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001890", "prompt": "What value of x satisfies 7(x - 6) - 23 = 8(x - 10)?", "solution_steps": ["Expand: 7x - 42 - 23 = 8(x - 10)", "Expand: 7x - 42 - 23 = 8x - 80", "Combine constants: 7x - 65 = 8x - 80", "Subtract 8x from both sides: -x - 65 = -80", "Add 65 to both sides: -x = -15", "Divide both sides by -1: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 6) - 23 = 8(x - 10)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 8, \"d\": 10, \"f\": -23, \"x\": 15}", "seed": "4322038401712366589", "semantic_fingerprint": "sha256:1b4e8336993ff6700f06480a9b46e968d2217d713674c3dbc35cae11bba2a787", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001891", "prompt": "What value of x satisfies 5(x - 218) - 87 = 7(x - 580) - 65?", "solution_steps": ["Expand: 5x - 1090 - 87 = 7(x - 580) - 65", "Expand: 5x - 1090 - 87 = 7x - 4060 - 65", "Combine constants: 5x - 1177 = 7x - 4060 - 65", "Combine constants: 5x - 1177 = 7x - 4125", "Subtract 7x from both sides: -2x - 1177 = -4125", "Add 1177 to both sides: -2x = -2948", "Divide both sides by -2: x = 1474"], "final_answer": "1474", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 218) - 87 = 7(x - 580) - 65", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 218, \"c\": 87, \"d\": 7, \"e\": 580, \"f\": 65}", "seed": "6715095609005874476", "semantic_fingerprint": "sha256:cbde867edecfd47011c875367483a0c253800c54d0c4b6ef8f8c3db3c8abb8de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001892", "prompt": "Find x: -9(x + 4) - 9 = x - 709", "solution_steps": ["Expand: -9x - 36 - 9 = x - 709", "Combine constants: -9x - 45 = x - 709", "Subtract x from both sides: -10x - 45 = -709", "Add 45 to both sides: -10x = -664", "Divide both sides by -10: x = 332/5"], "final_answer": "332/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 4) - 9 = x - 709", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 4, \"c\": 9, \"d\": 709}", "seed": "2671131090699247002", "semantic_fingerprint": "sha256:e630d62ecc7c71b0ec2c82a5effc6b477d172f9f8b21bf46e799fccaf94fecb9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001893", "prompt": "What value of x satisfies -4(x - 377) + 13 = 6(x - 8)?", "solution_steps": ["Expand: -4x + 1508 + 13 = 6(x - 8)", "Expand: -4x + 1508 + 13 = 6x - 48", "Combine constants: -4x + 1521 = 6x - 48", "Subtract 6x from both sides: -10x + 1521 = -48", "Subtract 1521 from both sides: -10x = -1569", "Divide both sides by -10: x = 1569/10"], "final_answer": "1569/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 377) + 13 = 6(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 377, \"c\": 13, \"d\": 6, \"e\": 8}", "seed": "13153549873689857046", "semantic_fingerprint": "sha256:627d55b6ba6ab06581d7b71911240559559443b7af577a8c8b78cc45f7caf08d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001894", "prompt": "Solve for x: 9(x - 3) = -8x - 248", "solution_steps": ["Expand: 9x - 27 = -8x - 248", "Add 8x to both sides: 17x - 27 = -248", "Add 27 to both sides: 17x = -221", "Divide both sides by 17: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 3) = -8x - 248", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": -8, \"e\": -248, \"x\": -13}", "seed": "8896433347926616043", "semantic_fingerprint": "sha256:dd4af61c2a8d4928dcafac500ea9f7706d5032dbbf69dfe908e42bc72a4821ca", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001895", "prompt": "Evaluate: 9 + 68 - (-717 + 24)", "solution_steps": ["Add: 9 + 68 = 77", "Add: -717 + 24 = -693", "Subtract: 77 - (-693) = 770"], "final_answer": "770", "answer_type": "integer", "kind": "expression", "math_text": "9 + 68 - (-717 + 24)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 68, \"c\": -717, \"d\": 24}", "seed": "14788290627935393193", "semantic_fingerprint": "sha256:402a5dc1bbea655d1e4f6bd9087b739005fb003f5f5efb446dd7785a55d78545", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001896", "prompt": "Evaluate: -89 + (4 - (-447 - (-8) + 17)) + 997", "solution_steps": ["Subtract: -447 - (-8) = -439", "Add: -439 + 17 = -422", "Subtract: 4 - (-422) = 426", "Add: -89 + 426 = 337", "Add: 337 + 997 = 1334"], "final_answer": "1334", "answer_type": "integer", "kind": "expression", "math_text": "-89 + (4 - (-447 - (-8) + 17)) + 997", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (- n (+ (- n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": 4, \"c\": -447, \"d\": -8, \"e\": 17, \"f\": 997}", "seed": "6776338755553266745", "semantic_fingerprint": "sha256:8196b1b652d2cb81c55d8c4cba976b83f9e190299bc9b5303eefad63a39f1d05", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001897", "prompt": "Find x: 10(x - 59) + 24 = 4(x + 77) - 838", "solution_steps": ["Expand: 10x - 590 + 24 = 4(x + 77) - 838", "Expand: 10x - 590 + 24 = 4x + 308 - 838", "Combine constants: 10x - 566 = 4x + 308 - 838", "Combine constants: 10x - 566 = 4x - 530", "Subtract 4x from both sides: 6x - 566 = -530", "Add 566 to both sides: 6x = 36", "Divide both sides by 6: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 59) + 24 = 4(x + 77) - 838", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 59, \"c\": 24, \"d\": 4, \"e\": 77, \"g\": -838, \"x\": 6}", "seed": "5991890463586364947", "semantic_fingerprint": "sha256:08bbe09c2ac8809b5f9dea306d70615149048545596cfc9fc0de9e37cf1781d6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001898", "prompt": "Calculate: 7 * 23 - 619 - (-7) * (-21)", "solution_steps": ["Multiply: 7 * 23 = 161", "Subtract: 161 - 619 = -458", "Multiply: -7 * (-21) = 147", "Subtract: -458 - 147 = -605"], "final_answer": "-605", "answer_type": "integer", "kind": "expression", "math_text": "7 * 23 - 619 - (-7) * (-21)", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 23, \"c\": 619, \"d\": -7, \"e\": -21}", "seed": "13334945891913072842", "semantic_fingerprint": "sha256:0f3ff5293a74c805f45214f6cc7acf1b5a15835ae5c1f35c9396964b3dc99ab6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001899", "prompt": "Calculate: (-6 / 35 + 74) * 33", "solution_steps": ["Divide: -6 / 35 = -6/35", "Add: -6/35 + 74 = 2584/35", "Multiply: (2584/35) * 33 = 85272/35"], "final_answer": "85272/35", "answer_type": "rational", "kind": "expression", "math_text": "(-6 / 35 + 74) * 33", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 35, \"c\": 74, \"d\": 33}", "seed": "11788178121030903313", "semantic_fingerprint": "sha256:62e9b18ad3dbc89ea29a10f894f61337eb1bde3f8db5a8c05a006b1f9e617fdd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001900", "prompt": "Calculate: (-80 / (-35) - 6) * ((-2 + 2) / 807)", "solution_steps": ["Divide: -80 / (-35) = 16/7", "Subtract: 16/7 - 6 = -26/7", "Add: -2 + 2 = 0", "Divide: 0 / 807 = 0", "Multiply: (-26/7) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-80 / (-35) - 6) * ((-2 + 2) / 807)", "variable": null, "family": "expression_5op", "shape": "(* (- (/ n n) n) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": -35, \"c\": 6, \"d\": -2, \"e\": 2, \"f\": 807}", "seed": "13665627131724788252", "semantic_fingerprint": "sha256:72cc58b5347e9d0519d626238463d2e53cbbdd7cf888b4ebed51b26be20c9cdb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001901", "prompt": "Calculate: (48 / 7 - (-87) * 67) / (-61)", "solution_steps": ["Divide: 48 / 7 = 48/7", "Multiply: -87 * 67 = -5829", "Subtract: 48/7 - (-5829) = 40851/7", "Divide: (40851/7) / (-61) = -40851/427"], "final_answer": "-40851/427", "answer_type": "rational", "kind": "expression", "math_text": "(48 / 7 - (-87) * 67) / (-61)", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 7, \"c\": -87, \"d\": 67, \"e\": -61}", "seed": "5165380447411272238", "semantic_fingerprint": "sha256:55d11a2e3b2c3be404896f543503ccd8b2510a5a739d451cc6050e66a2cb7ee8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001902", "prompt": "Calculate: 62 - (-857 - 632 + 710 / (-892))", "solution_steps": ["Subtract: -857 - 632 = -1489", "Divide: 710 / (-892) = -355/446", "Add: -1489 + (-355/446) = -664449/446", "Subtract: 62 - (-664449/446) = 692101/446"], "final_answer": "692101/446", "answer_type": "rational", "kind": "expression", "math_text": "62 - (-857 - 632 + 710 / (-892))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (- n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -857, \"c\": 632, \"d\": 710, \"e\": -892}", "seed": "10076688571331693860", "semantic_fingerprint": "sha256:a3af985b356c02628f2a313cee8fea32692ee9b56fcc3e42637a2bc148d3a7b2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001903", "prompt": "Calculate: -8 + 1 - 3 + 544", "solution_steps": ["Add: -8 + 1 = -7", "Subtract: -7 - 3 = -10", "Add: -10 + 544 = 534"], "final_answer": "534", "answer_type": "integer", "kind": "expression", "math_text": "-8 + 1 - 3 + 544", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 1, \"c\": 3, \"d\": 544}", "seed": "8291817172656286946", "semantic_fingerprint": "sha256:4b28f145e4ce417dd52ede7e69c4730cd17edc0d1a34e59949378db522266521", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001904", "prompt": "Compute: 229 / (9 / (-570 / (-9))) - (191 + 4)", "solution_steps": ["Divide: -570 / (-9) = 190/3", "Divide: 9 / (190/3) = 27/190", "Divide: 229 / (27/190) = 43510/27", "Add: 191 + 4 = 195", "Subtract: 43510/27 - 195 = 38245/27"], "final_answer": "38245/27", "answer_type": "rational", "kind": "expression", "math_text": "229 / (9 / (-570 / (-9))) - (191 + 4)", "variable": null, "family": "expression_5op", "shape": "(- (/ n (/ n (/ n n))) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 229, \"b\": 9, \"c\": -570, \"d\": -9, \"e\": 191, \"f\": 4}", "seed": "11374229363968668353", "semantic_fingerprint": "sha256:6efe8b4ba0bac2c35f73500b8c30756a0a92299cd30e8780f56af3df62b0b776", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001905", "prompt": "Calculate: 2 * (-342 - 72 + 400 * (-8))", "solution_steps": ["Subtract: -342 - 72 = -414", "Multiply: 400 * (-8) = -3200", "Add: -414 + (-3200) = -3614", "Multiply: 2 * (-3614) = -7228"], "final_answer": "-7228", "answer_type": "integer", "kind": "expression", "math_text": "2 * (-342 - 72 + 400 * (-8))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (- n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -342, \"c\": 72, \"d\": 400, \"e\": -8}", "seed": "8533970030113629683", "semantic_fingerprint": "sha256:db95d1fb8cef8b9c29133bce2e9cb44cd26217f295b92b616b50ee10f89080dc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001906", "prompt": "Evaluate: -60 + (-384 - 39) + (-56) * 633", "solution_steps": ["Subtract: -384 - 39 = -423", "Add: -60 + (-423) = -483", "Multiply: -56 * 633 = -35448", "Add: -483 + (-35448) = -35931"], "final_answer": "-35931", "answer_type": "integer", "kind": "expression", "math_text": "-60 + (-384 - 39) + (-56) * 633", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": -384, \"c\": 39, \"d\": -56, \"e\": 633}", "seed": "15239097018214053945", "semantic_fingerprint": "sha256:603f68e6296f1696e3134f4c11f2bb34d306b12ba720741c6a29f9822b285234", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001907", "prompt": "Calculate: -81 + 5 - (88 + 182)", "solution_steps": ["Add: -81 + 5 = -76", "Add: 88 + 182 = 270", "Subtract: -76 - 270 = -346"], "final_answer": "-346", "answer_type": "integer", "kind": "expression", "math_text": "-81 + 5 - (88 + 182)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 5, \"c\": 88, \"d\": 182}", "seed": "5456516341761559608", "semantic_fingerprint": "sha256:f25518ff523743b03aff042fd0b1349f11f433d38eec846d4571a21062520024", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001908", "prompt": "Evaluate: (-2 / (-20) + 108) * 18", "solution_steps": ["Divide: -2 / (-20) = 1/10", "Add: 1/10 + 108 = 1081/10", "Multiply: (1081/10) * 18 = 9729/5"], "final_answer": "9729/5", "answer_type": "rational", "kind": "expression", "math_text": "(-2 / (-20) + 108) * 18", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -20, \"c\": 108, \"d\": 18}", "seed": "13935820080135185244", "semantic_fingerprint": "sha256:f0fe6a76d9fb0b2a4c7dcb1fdde4ea70461686f7c8b06ce677c988c83cb103f6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001909", "prompt": "What is (386 + (-28) * 8 / (-5)) / 218?", "solution_steps": ["Multiply: -28 * 8 = -224", "Divide: -224 / (-5) = 224/5", "Add: 386 + 224/5 = 2154/5", "Divide: (2154/5) / 218 = 1077/545"], "final_answer": "1077/545", "answer_type": "rational", "kind": "expression", "math_text": "(386 + (-28) * 8 / (-5)) / 218", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (/ (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 386, \"b\": -28, \"c\": 8, \"d\": -5, \"e\": 218}", "seed": "6072505111886562719", "semantic_fingerprint": "sha256:158464f758955d1a9f43c6ea2d203c2e7d1cf12a83af538914eec05877a6931f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001910", "prompt": "Compute: 97 + (-494 - 669 - 5 + (-52 - (-2)))", "solution_steps": ["Subtract: -494 - 669 = -1163", "Subtract: -1163 - 5 = -1168", "Subtract: -52 - (-2) = -50", "Add: -1168 + (-50) = -1218", "Add: 97 + (-1218) = -1121"], "final_answer": "-1121", "answer_type": "integer", "kind": "expression", "math_text": "97 + (-494 - 669 - 5 + (-52 - (-2)))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (- (- n n) n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": -494, \"c\": 669, \"d\": 5, \"e\": -52, \"f\": -2}", "seed": "9453976360721600762", "semantic_fingerprint": "sha256:c635f1cd6d6e6dce1fd7454b2492da3ecd92a82666036488bd02732ba88f0458", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001911", "prompt": "Calculate: (88 + (-484)) * (9 - (-809) - (-80))", "solution_steps": ["Add: 88 + (-484) = -396", "Subtract: 9 - (-809) = 818", "Subtract: 818 - (-80) = 898", "Multiply: -396 * 898 = -355608"], "final_answer": "-355608", "answer_type": "integer", "kind": "expression", "math_text": "(88 + (-484)) * (9 - (-809) - (-80))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": -484, \"c\": 9, \"d\": -809, \"e\": -80}", "seed": "15585999488693192684", "semantic_fingerprint": "sha256:04599b0fb8c45fbc988143bfe41dd21de4a87e1cc56dc20803ab416805c6880a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001912", "prompt": "Evaluate: -61 + (5 + (-8)) / 441 / (-1)", "solution_steps": ["Add: 5 + (-8) = -3", "Divide: -3 / 441 = -1/147", "Divide: (-1/147) / (-1) = 1/147", "Add: -61 + 1/147 = -8966/147"], "final_answer": "-8966/147", "answer_type": "rational", "kind": "expression", "math_text": "-61 + (5 + (-8)) / 441 / (-1)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (/ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": 5, \"c\": -8, \"d\": 441, \"e\": -1}", "seed": "11472137477932935146", "semantic_fingerprint": "sha256:2e6e037cf221c7d25f561267a7bfaffe8eb267eb2cdb97a749eb7c35fd2b3e3c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001913", "prompt": "Find x: 11(x - 861) = 10x - 28", "solution_steps": ["Expand: 11x - 9471 = 10x - 28", "Subtract 10x from both sides: x - 9471 = -28", "Add 9471 to both sides: x = 9443"], "final_answer": "9443", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 861) = 10x - 28", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 861, \"c\": 10, \"d\": 28}", "seed": "3270582743594431322", "semantic_fingerprint": "sha256:be2c851776dc8b2fd533a654477c0b09a77939b74521ead29673b01e963e0fec", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001914", "prompt": "Compute: (-879 - 798 + (97 + (-91))) * (-62 + (-83))", "solution_steps": ["Subtract: -879 - 798 = -1677", "Add: 97 + (-91) = 6", "Add: -1677 + 6 = -1671", "Add: -62 + (-83) = -145", "Multiply: -1671 * (-145) = 242295"], "final_answer": "242295", "answer_type": "integer", "kind": "expression", "math_text": "(-879 - 798 + (97 + (-91))) * (-62 + (-83))", "variable": null, "family": "expression_5op", "shape": "(* (+ (- n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -879, \"b\": 798, \"c\": 97, \"d\": -91, \"e\": -62, \"f\": -83}", "seed": "4579479958994075079", "semantic_fingerprint": "sha256:fc0ddf8bd3998393ab7e5266edbe8c0b1392ad3f66add067d4dc089344029a6a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001915", "prompt": "Compute: 8 * ((-90 - 514) * 5) / (-50) - (-27)", "solution_steps": ["Subtract: -90 - 514 = -604", "Multiply: -604 * 5 = -3020", "Multiply: 8 * (-3020) = -24160", "Divide: -24160 / (-50) = 2416/5", "Subtract: 2416/5 - (-27) = 2551/5"], "final_answer": "2551/5", "answer_type": "rational", "kind": "expression", "math_text": "8 * ((-90 - 514) * 5) / (-50) - (-27)", "variable": null, "family": "expression_5op", "shape": "(- (/ (* n (* (- n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -90, \"c\": 514, \"d\": 5, \"e\": -50, \"f\": -27}", "seed": "2964016744849440915", "semantic_fingerprint": "sha256:9d0f330587323da909164612dd40aedc2bf1b8479dcc66a2a4f944cfeb5a5de9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001916", "prompt": "Compute: 2 * (-1) - (630 - (-232)) * (-6)", "solution_steps": ["Multiply: 2 * (-1) = -2", "Subtract: 630 - (-232) = 862", "Multiply: 862 * (-6) = -5172", "Subtract: -2 - (-5172) = 5170"], "final_answer": "5170", "answer_type": "integer", "kind": "expression", "math_text": "2 * (-1) - (630 - (-232)) * (-6)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -1, \"c\": 630, \"d\": -232, \"e\": -6}", "seed": "6759753793316246680", "semantic_fingerprint": "sha256:5655dab0743db2e8c8adbed219d628d9dbad3e6af60a49bddcc3dd4155f2e04e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001917", "prompt": "Find x: -11(x - 5) = 11x - 6", "solution_steps": ["Expand: -11x + 55 = 11x - 6", "Subtract 11x from both sides: -22x + 55 = -6", "Subtract 55 from both sides: -22x = -61", "Divide both sides by -22: x = 61/22"], "final_answer": "61/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 5) = 11x - 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 5, \"c\": 11, \"d\": 6}", "seed": "9228718845413532560", "semantic_fingerprint": "sha256:1767cd7e8225eebe6ad3ec017e3ec8480856e587ad121cc5401436103d136ccf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001918", "prompt": "What value of x satisfies 8(x - 7) - 224 = 10(x - 24)?", "solution_steps": ["Expand: 8x - 56 - 224 = 10(x - 24)", "Expand: 8x - 56 - 224 = 10x - 240", "Combine constants: 8x - 280 = 10x - 240", "Subtract 10x from both sides: -2x - 280 = -240", "Add 280 to both sides: -2x = 40", "Divide both sides by -2: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 7) - 224 = 10(x - 24)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 10, \"d\": 24, \"f\": -224, \"x\": -20}", "seed": "17435560560910077911", "semantic_fingerprint": "sha256:9e2518d31b0b6c16663ece3ef2cdffc589b93706b1208297014abb4446c3e5f3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001919", "prompt": "Calculate: 68 * (-82 - 59 + 0)", "solution_steps": ["Subtract: -82 - 59 = -141", "Add: -141 + 0 = -141", "Multiply: 68 * (-141) = -9588"], "final_answer": "-9588", "answer_type": "integer", "kind": "expression", "math_text": "68 * (-82 - 59 + 0)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": -82, \"c\": 59, \"d\": 0}", "seed": "14920772726955718345", "semantic_fingerprint": "sha256:09a2cd413131ce5c4a1c90824cca6dfdbadd45dbd8255e7cbff253a0a4b5d8ce", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001920", "prompt": "Solve the equation x - 6 = 2(x - 3) + 60 for x.", "solution_steps": ["Expand: x - 6 = 2x - 6 + 60", "Combine constants: x - 6 = 2x + 54", "Subtract 2x from both sides: -x - 6 = 54", "Add 6 to both sides: -x = 60", "Divide both sides by -1: x = -60"], "final_answer": "-60", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6 = 2(x - 3) + 60", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 3, \"d\": 60}", "seed": "12935777362516035548", "semantic_fingerprint": "sha256:35fc6feef6eb280a6ae011d1f16d84fbc565b89784669fe7ceef928a16a98bdd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001921", "prompt": "Find x: 10(x + 21) - 543 = x - 28", "solution_steps": ["Expand: 10x + 210 - 543 = x - 28", "Combine constants: 10x - 333 = x - 28", "Subtract x from both sides: 9x - 333 = -28", "Add 333 to both sides: 9x = 305", "Divide both sides by 9: x = 305/9"], "final_answer": "305/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 21) - 543 = x - 28", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 21, \"c\": 543, \"d\": 28}", "seed": "13789915205172639668", "semantic_fingerprint": "sha256:e70aed774fe360d9fcd926d2903dddbd348c15208bd485787afcb88b755d7643", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001922", "prompt": "Calculate: (548 + (-8)) / (-64 + (-604 - 8))", "solution_steps": ["Add: 548 + (-8) = 540", "Subtract: -604 - 8 = -612", "Add: -64 + (-612) = -676", "Divide: 540 / (-676) = -135/169"], "final_answer": "-135/169", "answer_type": "rational", "kind": "expression", "math_text": "(548 + (-8)) / (-64 + (-604 - 8))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 548, \"b\": -8, \"c\": -64, \"d\": -604, \"e\": 8}", "seed": "11584811776854652222", "semantic_fingerprint": "sha256:32eaeb274d58322dcd4da8473254862c93ae6139ec0decbbb3564c15c4be3ed2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001923", "prompt": "What value of x satisfies 4(x - 588) + 5 = 12(x + 12) - 4?", "solution_steps": ["Expand: 4x - 2352 + 5 = 12(x + 12) - 4", "Expand: 4x - 2352 + 5 = 12x + 144 - 4", "Combine constants: 4x - 2347 = 12x + 144 - 4", "Combine constants: 4x - 2347 = 12x + 140", "Subtract 12x from both sides: -8x - 2347 = 140", "Add 2347 to both sides: -8x = 2487", "Divide both sides by -8: x = -2487/8"], "final_answer": "-2487/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 588) + 5 = 12(x + 12) - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 588, \"c\": 5, \"d\": 12, \"e\": 12, \"f\": 4}", "seed": "10719310661356456158", "semantic_fingerprint": "sha256:b438f68375973654001ae6fce217c558f9c99c00526f4f435ccf7f10cbcb863b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001924", "prompt": "Compute: 94 + 10 / (12 * (1 - 479))", "solution_steps": ["Subtract: 1 - 479 = -478", "Multiply: 12 * (-478) = -5736", "Divide: 10 / (-5736) = -5/2868", "Add: 94 + (-5/2868) = 269587/2868"], "final_answer": "269587/2868", "answer_type": "rational", "kind": "expression", "math_text": "94 + 10 / (12 * (1 - 479))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (* n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 10, \"c\": 12, \"d\": 1, \"e\": 479}", "seed": "4300888679770034365", "semantic_fingerprint": "sha256:fe696846da1db432d9f9aacdd11a9075f26a1bc136b144661777954b9b3adf4b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001925", "prompt": "What is (-4 + (-35)) * (-6 + (-83)) / (3 / 9)?", "solution_steps": ["Add: -4 + (-35) = -39", "Add: -6 + (-83) = -89", "Multiply: -39 * (-89) = 3471", "Divide: 3 / 9 = 1/3", "Divide: 3471 / (1/3) = 10413"], "final_answer": "10413", "answer_type": "integer", "kind": "expression", "math_text": "(-4 + (-35)) * (-6 + (-83)) / (3 / 9)", "variable": null, "family": "expression_5op", "shape": "(/ (* (+ n n) (+ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -35, \"c\": -6, \"d\": -83, \"e\": 3, \"f\": 9}", "seed": "1614217834448028127", "semantic_fingerprint": "sha256:1cf2f5117efd9f7beb9d6dbad0192ade1f9a147adde03da80b5e89da129417b2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001926", "prompt": "Solve for x: -4(x + 86) + 3 = 7(x + 21) - 422", "solution_steps": ["Expand: -4x - 344 + 3 = 7(x + 21) - 422", "Expand: -4x - 344 + 3 = 7x + 147 - 422", "Combine constants: -4x - 341 = 7x + 147 - 422", "Combine constants: -4x - 341 = 7x - 275", "Subtract 7x from both sides: -11x - 341 = -275", "Add 341 to both sides: -11x = 66", "Divide both sides by -11: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 86) + 3 = 7(x + 21) - 422", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 86, \"c\": 3, \"d\": 7, \"e\": 21, \"g\": -422, \"x\": -6}", "seed": "10487289827766032772", "semantic_fingerprint": "sha256:64a5ee8fa2e5dea23b8cc4d67f67b32732eb20d378024ea642ca827b779610bf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001927", "prompt": "What value of x satisfies 10(x - 93) - 31 = 2(x - 1) - 999?", "solution_steps": ["Expand: 10x - 930 - 31 = 2(x - 1) - 999", "Expand: 10x - 930 - 31 = 2x - 2 - 999", "Combine constants: 10x - 961 = 2x - 2 - 999", "Combine constants: 10x - 961 = 2x - 1001", "Subtract 2x from both sides: 8x - 961 = -1001", "Add 961 to both sides: 8x = -40", "Divide both sides by 8: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 93) - 31 = 2(x - 1) - 999", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 93, \"c\": 31, \"d\": 2, \"e\": 1, \"g\": -999, \"x\": -5}", "seed": "15514779766876866363", "semantic_fingerprint": "sha256:f5fe1ecac02dee494442ccbfa52eb803ab497f71771e0a966f9a60f00408713c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001928", "prompt": "What value of x satisfies 7x - 4 = 2(x + 6) + 49?", "solution_steps": ["Expand: 7x - 4 = 2x + 12 + 49", "Combine constants: 7x - 4 = 2x + 61", "Subtract 2x from both sides: 5x - 4 = 61", "Add 4 to both sides: 5x = 65", "Divide both sides by 5: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 4 = 2(x + 6) + 49", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 2, \"d\": 6, \"f\": 49, \"x\": 13}", "seed": "17405126162748049130", "semantic_fingerprint": "sha256:31baaa53b77b4f9ea2b63fde4bc44ce790b23c52e110af837ad7e3467b0bea84", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001929", "prompt": "What value of x satisfies -9(x - 6) + 624 = 10(x + 53) - 58?", "solution_steps": ["Expand: -9x + 54 + 624 = 10(x + 53) - 58", "Expand: -9x + 54 + 624 = 10x + 530 - 58", "Combine constants: -9x + 678 = 10x + 530 - 58", "Combine constants: -9x + 678 = 10x + 472", "Subtract 10x from both sides: -19x + 678 = 472", "Subtract 678 from both sides: -19x = -206", "Divide both sides by -19: x = 206/19"], "final_answer": "206/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 6) + 624 = 10(x + 53) - 58", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 6, \"c\": 624, \"d\": 10, \"e\": 53, \"f\": 58}", "seed": "13431994101763359187", "semantic_fingerprint": "sha256:029f9904740ba3d6e4217dbe4e7ff406047e0ed2a7627f89bb91c45a759aab51", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001930", "prompt": "Solve the equation -7(x - 1) + 8 = 8(x + 76) - 503 for x.", "solution_steps": ["Expand: -7x + 7 + 8 = 8(x + 76) - 503", "Expand: -7x + 7 + 8 = 8x + 608 - 503", "Combine constants: -7x + 15 = 8x + 608 - 503", "Combine constants: -7x + 15 = 8x + 105", "Subtract 8x from both sides: -15x + 15 = 105", "Subtract 15 from both sides: -15x = 90", "Divide both sides by -15: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 1) + 8 = 8(x + 76) - 503", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 1, \"c\": 8, \"d\": 8, \"e\": 76, \"g\": -503, \"x\": -6}", "seed": "16983967663855098270", "semantic_fingerprint": "sha256:f38b8bdcc0dc7f68442861dfd0053d4732e50e29915b2be31b066b217c689acb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001931", "prompt": "Compute: -143 / (189 - 26 - (-62))", "solution_steps": ["Subtract: 189 - 26 = 163", "Subtract: 163 - (-62) = 225", "Divide: -143 / 225 = -143/225"], "final_answer": "-143/225", "answer_type": "rational", "kind": "expression", "math_text": "-143 / (189 - 26 - (-62))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -143, \"b\": 189, \"c\": 26, \"d\": -62}", "seed": "10127758847635666168", "semantic_fingerprint": "sha256:e605475224e2c15adc5dcbf3eadc5847b2ee152bc002c5c389e319d47bc150cf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001932", "prompt": "Compute: -8 / (-8 - (-772) + 39)", "solution_steps": ["Subtract: -8 - (-772) = 764", "Add: 764 + 39 = 803", "Divide: -8 / 803 = -8/803"], "final_answer": "-8/803", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-8 - (-772) + 39)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -8, \"c\": -772, \"d\": 39}", "seed": "11419260910703741469", "semantic_fingerprint": "sha256:2a331dd4d2dae9e8438b8d217b7e69e295f175529986d0be6443f5b2e72c95e5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001933", "prompt": "Solve the equation 6(x - 1) = 5x - 71 for x.", "solution_steps": ["Expand: 6x - 6 = 5x - 71", "Subtract 5x from both sides: x - 6 = -71", "Add 6 to both sides: x = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 1) = 5x - 71", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"c\": 5, \"d\": 71}", "seed": "15250632017727462063", "semantic_fingerprint": "sha256:f6f0ba3de8663f683fb2b85e0d94d1488940dda3c872207f63cc75a3a6bd0435", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001934", "prompt": "Calculate: -9 + (95 * 36 - (-40))", "solution_steps": ["Multiply: 95 * 36 = 3420", "Subtract: 3420 - (-40) = 3460", "Add: -9 + 3460 = 3451"], "final_answer": "3451", "answer_type": "integer", "kind": "expression", "math_text": "-9 + (95 * 36 - (-40))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 95, \"c\": 36, \"d\": -40}", "seed": "2975586810944549902", "semantic_fingerprint": "sha256:a654d9c94bab8124d3ac647146b9f772b9a8560a71eca299f7e8d699c0d6ea47", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001935", "prompt": "Solve for x: x - 67 = 7(x - 48) + 239", "solution_steps": ["Expand: x - 67 = 7x - 336 + 239", "Combine constants: x - 67 = 7x - 97", "Subtract 7x from both sides: -6x - 67 = -97", "Add 67 to both sides: -6x = -30", "Divide both sides by -6: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 67 = 7(x - 48) + 239", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 7, \"c\": 48, \"e\": 239, \"x\": 5}", "seed": "474961712770023951", "semantic_fingerprint": "sha256:84e35a0143cc208a9161a84736952cf859e67748ebb59ebd4915bfb154de276b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001936", "prompt": "What value of x satisfies 9(x - 8) = 12x - 66?", "solution_steps": ["Expand: 9x - 72 = 12x - 66", "Subtract 12x from both sides: -3x - 72 = -66", "Add 72 to both sides: -3x = 6", "Divide both sides by -3: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 8) = 12x - 66", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 12, \"e\": -66, \"x\": -2}", "seed": "9740836470053592831", "semantic_fingerprint": "sha256:19af546e369dfdfd9c5aee4feeada3d4f73b7c0836ff8ff6088c99dcd31b4cb7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001937", "prompt": "What value of x satisfies 8(x - 29) + 371 = 7x + 125?", "solution_steps": ["Expand: 8x - 232 + 371 = 7x + 125", "Combine constants: 8x + 139 = 7x + 125", "Subtract 7x from both sides: x + 139 = 125", "Subtract 139 from both sides: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 29) + 371 = 7x + 125", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 29, \"c\": 371, \"d\": 7, \"f\": 125, \"x\": -14}", "seed": "12289529932807159923", "semantic_fingerprint": "sha256:e8907482135111d3d5541de201836537824e9c545954c6174b3c1fe955a5353f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001938", "prompt": "What is 41 * (-2 / 6 / 6)?", "solution_steps": ["Divide: -2 / 6 = -1/3", "Divide: (-1/3) / 6 = -1/18", "Multiply: 41 * (-1/18) = -41/18"], "final_answer": "-41/18", "answer_type": "rational", "kind": "expression", "math_text": "41 * (-2 / 6 / 6)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": -2, \"c\": 6, \"d\": 6}", "seed": "6092875306613167768", "semantic_fingerprint": "sha256:3b9c7e657e35dbc61fd0d5cb3f1c50b20a987e34d705c8657a85a50c74d02a70", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001939", "prompt": "Calculate: -8 / (-624) + (293 - 10) - (-1)", "solution_steps": ["Divide: -8 / (-624) = 1/78", "Subtract: 293 - 10 = 283", "Add: 1/78 + 283 = 22075/78", "Subtract: 22075/78 - (-1) = 22153/78"], "final_answer": "22153/78", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-624) + (293 - 10) - (-1)", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -624, \"c\": 293, \"d\": 10, \"e\": -1}", "seed": "6416091748624410849", "semantic_fingerprint": "sha256:797acf86fbde74bbd5d3b2dc55c5960972169b0d394361581b9aa224d11f8eac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001940", "prompt": "Compute: (17 * 79 / (-17) + 61) / (324 / (-9))", "solution_steps": ["Multiply: 17 * 79 = 1343", "Divide: 1343 / (-17) = -79", "Add: -79 + 61 = -18", "Divide: 324 / (-9) = -36", "Divide: -18 / (-36) = 1/2"], "final_answer": "1/2", "answer_type": "rational", "kind": "expression", "math_text": "(17 * 79 / (-17) + 61) / (324 / (-9))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (/ (* n n) n) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": 79, \"c\": -17, \"d\": 61, \"e\": 324, \"f\": -9}", "seed": "11483344577008394810", "semantic_fingerprint": "sha256:525095c0f3d685cd510384ba411a7f35df58fad5f4c1d020a2db225d5593acd1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001941", "prompt": "Compute: (43 * (-63) + 80) * 1", "solution_steps": ["Multiply: 43 * (-63) = -2709", "Add: -2709 + 80 = -2629", "Multiply: -2629 * 1 = -2629"], "final_answer": "-2629", "answer_type": "integer", "kind": "expression", "math_text": "(43 * (-63) + 80) * 1", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": -63, \"c\": 80, \"d\": 1}", "seed": "6046794038299999537", "semantic_fingerprint": "sha256:154577cfa24de341b1076dae572b285d7d097be9a998aaea58270efab4160559", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001942", "prompt": "Evaluate: 3 + (5 - (-1)) + (-39) * 364", "solution_steps": ["Subtract: 5 - (-1) = 6", "Add: 3 + 6 = 9", "Multiply: -39 * 364 = -14196", "Add: 9 + (-14196) = -14187"], "final_answer": "-14187", "answer_type": "integer", "kind": "expression", "math_text": "3 + (5 - (-1)) + (-39) * 364", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": -1, \"d\": -39, \"e\": 364}", "seed": "8354728957672582918", "semantic_fingerprint": "sha256:b98c7dc15f1fce60e77f2e4e89104b84a3367eb9b044f7fd1263c3b72c66f670", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001943", "prompt": "Evaluate: 386 - (-566) / (7 / (-959))", "solution_steps": ["Divide: 7 / (-959) = -1/137", "Divide: -566 / (-1/137) = 77542", "Subtract: 386 - 77542 = -77156"], "final_answer": "-77156", "answer_type": "integer", "kind": "expression", "math_text": "386 - (-566) / (7 / (-959))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 386, \"b\": -566, \"c\": 7, \"d\": -959}", "seed": "5215507115836851882", "semantic_fingerprint": "sha256:d1b562d6203ebbfb3cb026d54b0a1b18accd3694258f04fbb4eee1b11b9af213", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001944", "prompt": "Calculate: -105 - 150 * 603 - (-19)", "solution_steps": ["Multiply: 150 * 603 = 90450", "Subtract: -105 - 90450 = -90555", "Subtract: -90555 - (-19) = -90536"], "final_answer": "-90536", "answer_type": "integer", "kind": "expression", "math_text": "-105 - 150 * 603 - (-19)", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -105, \"b\": 150, \"c\": 603, \"d\": -19}", "seed": "11633221593459587267", "semantic_fingerprint": "sha256:5c30846a2fc2a1527170e3041b6d6a9088849b5b27753154a0c6ff680413b74c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001945", "prompt": "What is 55 - (167 + (-803)) + 65?", "solution_steps": ["Add: 167 + (-803) = -636", "Subtract: 55 - (-636) = 691", "Add: 691 + 65 = 756"], "final_answer": "756", "answer_type": "integer", "kind": "expression", "math_text": "55 - (167 + (-803)) + 65", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 167, \"c\": -803, \"d\": 65}", "seed": "9723108781490944944", "semantic_fingerprint": "sha256:fc7250e1a2fe0fd9c72a97b4f7a047f5d746408064cd42b3336970e55893fd1d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001946", "prompt": "Solve the equation -9(x - 6) + 1 = 3(x - 730) for x.", "solution_steps": ["Expand: -9x + 54 + 1 = 3(x - 730)", "Expand: -9x + 54 + 1 = 3x - 2190", "Combine constants: -9x + 55 = 3x - 2190", "Subtract 3x from both sides: -12x + 55 = -2190", "Subtract 55 from both sides: -12x = -2245", "Divide both sides by -12: x = 2245/12"], "final_answer": "2245/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 6) + 1 = 3(x - 730)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 6, \"c\": 1, \"d\": 3, \"e\": 730}", "seed": "8663811456802825494", "semantic_fingerprint": "sha256:c02fca83a2543df0e9b1e6b8668867f0d5b8f663e080644e20f36c68410f53da", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001947", "prompt": "Compute: -2 * (934 - 82 + 857)", "solution_steps": ["Subtract: 934 - 82 = 852", "Add: 852 + 857 = 1709", "Multiply: -2 * 1709 = -3418"], "final_answer": "-3418", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (934 - 82 + 857)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 934, \"c\": 82, \"d\": 857}", "seed": "16891844704706792500", "semantic_fingerprint": "sha256:d0b7bf476c4de7d632abeef68153ad688a512e544960b353c485884b88c8daa6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001948", "prompt": "Solve for x: -9(x - 59) + 7 = 12x + 601", "solution_steps": ["Expand: -9x + 531 + 7 = 12x + 601", "Combine constants: -9x + 538 = 12x + 601", "Subtract 12x from both sides: -21x + 538 = 601", "Subtract 538 from both sides: -21x = 63", "Divide both sides by -21: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 59) + 7 = 12x + 601", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 59, \"c\": 7, \"d\": 12, \"f\": 601, \"x\": -3}", "seed": "17898822721121908695", "semantic_fingerprint": "sha256:140cb2e72a84e4c97308a99a721cfa182ccdebcfda46c14d5162b7f8006104e8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001949", "prompt": "Calculate: 133 * (-221 - 34 / (-36) - 59)", "solution_steps": ["Divide: 34 / (-36) = -17/18", "Subtract: -221 - (-17/18) = -3961/18", "Subtract: -3961/18 - 59 = -5023/18", "Multiply: 133 * (-5023/18) = -668059/18"], "final_answer": "-668059/18", "answer_type": "rational", "kind": "expression", "math_text": "133 * (-221 - 34 / (-36) - 59)", "variable": null, "family": "expression_4op", "shape": "(* n (- (- n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 133, \"b\": -221, \"c\": 34, \"d\": -36, \"e\": 59}", "seed": "1293374928850642779", "semantic_fingerprint": "sha256:884994c0d3366ffeaa2b0ea9af8380d51a991cc3b39d83a615bb228ad19af01e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001950", "prompt": "Compute: (-7 - (-665)) / (66 * 66)", "solution_steps": ["Subtract: -7 - (-665) = 658", "Multiply: 66 * 66 = 4356", "Divide: 658 / 4356 = 329/2178"], "final_answer": "329/2178", "answer_type": "rational", "kind": "expression", "math_text": "(-7 - (-665)) / (66 * 66)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -665, \"c\": 66, \"d\": 66}", "seed": "679181813305280022", "semantic_fingerprint": "sha256:12244f03d41660b35de1630ec0eb91e1ff6ac17031d94a11d7ae69e4adb0b018", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001951", "prompt": "What value of x satisfies 9(x - 3) - 926 = -3(x - 1)?", "solution_steps": ["Expand: 9x - 27 - 926 = -3(x - 1)", "Expand: 9x - 27 - 926 = -3x + 3", "Combine constants: 9x - 953 = -3x + 3", "Add 3x to both sides: 12x - 953 = 3", "Add 953 to both sides: 12x = 956", "Divide both sides by 12: x = 239/3"], "final_answer": "239/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 3) - 926 = -3(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 926, \"d\": -3, \"e\": 1}", "seed": "5154887794875916437", "semantic_fingerprint": "sha256:814912c8da6894d7d590df675f112a9d701e305ff5b1d37e76fdbac5e3aaf7f2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001952", "prompt": "Find x: x - 35 = 4(x - 77) + 261", "solution_steps": ["Expand: x - 35 = 4x - 308 + 261", "Combine constants: x - 35 = 4x - 47", "Subtract 4x from both sides: -3x - 35 = -47", "Add 35 to both sides: -3x = -12", "Divide both sides by -3: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 35 = 4(x - 77) + 261", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 4, \"c\": 77, \"e\": 261, \"x\": 4}", "seed": "10327519280950409007", "semantic_fingerprint": "sha256:9101802e3325a72f492c881ecaff18f5e642fffa011973285d222215743916e6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001953", "prompt": "Calculate: -1 * (-25) / (80 + (-27))", "solution_steps": ["Multiply: -1 * (-25) = 25", "Add: 80 + (-27) = 53", "Divide: 25 / 53 = 25/53"], "final_answer": "25/53", "answer_type": "rational", "kind": "expression", "math_text": "-1 * (-25) / (80 + (-27))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -25, \"c\": 80, \"d\": -27}", "seed": "196859217098273723", "semantic_fingerprint": "sha256:5b5d0eb7c26e7a06b038191ab26b9d5c5e53c73fd2bf82dc3512f83ae9b87cdd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001954", "prompt": "What value of x satisfies x - 2 = 10(x - 9) + 151?", "solution_steps": ["Expand: x - 2 = 10x - 90 + 151", "Combine constants: x - 2 = 10x + 61", "Subtract 10x from both sides: -9x - 2 = 61", "Add 2 to both sides: -9x = 63", "Divide both sides by -9: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2 = 10(x - 9) + 151", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 10, \"c\": 9, \"e\": 151, \"x\": -7}", "seed": "440840617944305229", "semantic_fingerprint": "sha256:182bb58384497f5da33ffda547ea9e5dd068de960478c4f80f8de618099aa152", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001955", "prompt": "Calculate: -379 + (-7) - 950 + (-667 / 18 + 882)", "solution_steps": ["Add: -379 + (-7) = -386", "Subtract: -386 - 950 = -1336", "Divide: -667 / 18 = -667/18", "Add: -667/18 + 882 = 15209/18", "Add: -1336 + 15209/18 = -8839/18"], "final_answer": "-8839/18", "answer_type": "rational", "kind": "expression", "math_text": "-379 + (-7) - 950 + (-667 / 18 + 882)", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n n) n) (+ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -379, \"b\": -7, \"c\": 950, \"d\": -667, \"e\": 18, \"f\": 882}", "seed": "7935876181001625466", "semantic_fingerprint": "sha256:f5b1321b44f968d8c06fe64aca6054e883889008e76732a19f68c19de0bbc685", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001956", "prompt": "What is -37 - (-55) * (-60) - 876?", "solution_steps": ["Multiply: -55 * (-60) = 3300", "Subtract: -37 - 3300 = -3337", "Subtract: -3337 - 876 = -4213"], "final_answer": "-4213", "answer_type": "integer", "kind": "expression", "math_text": "-37 - (-55) * (-60) - 876", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -55, \"c\": -60, \"d\": 876}", "seed": "15644076602411629588", "semantic_fingerprint": "sha256:891e0d3214bd20e3ca4cfe22ef1c2af608b00a72f9c695424c665c47294119e0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001957", "prompt": "Compute: -89 * (-69 - 40 + 475)", "solution_steps": ["Subtract: -69 - 40 = -109", "Add: -109 + 475 = 366", "Multiply: -89 * 366 = -32574"], "final_answer": "-32574", "answer_type": "integer", "kind": "expression", "math_text": "-89 * (-69 - 40 + 475)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": -69, \"c\": 40, \"d\": 475}", "seed": "6379655758845098656", "semantic_fingerprint": "sha256:a9cb85a360a0541ad9bd96be3fe7d67a471ea2c52ab3633c95dab08f9ccca6fd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001958", "prompt": "Solve the equation x - 5 = 5(x - 7) + 64 for x.", "solution_steps": ["Expand: x - 5 = 5x - 35 + 64", "Combine constants: x - 5 = 5x + 29", "Subtract 5x from both sides: -4x - 5 = 29", "Add 5 to both sides: -4x = 34", "Divide both sides by -4: x = -17/2"], "final_answer": "-17/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5 = 5(x - 7) + 64", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 5, \"c\": 7, \"d\": 64}", "seed": "5579043768333879623", "semantic_fingerprint": "sha256:25f5507535be21a4d30e3f96a3e324ef86b7d8863002084fec16cfc204a8333e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001959", "prompt": "Evaluate: -6 / 4 - (-861) - (-688)", "solution_steps": ["Divide: -6 / 4 = -3/2", "Subtract: -3/2 - (-861) = 1719/2", "Subtract: 1719/2 - (-688) = 3095/2"], "final_answer": "3095/2", "answer_type": "rational", "kind": "expression", "math_text": "-6 / 4 - (-861) - (-688)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4, \"c\": -861, \"d\": -688}", "seed": "2034607978083726815", "semantic_fingerprint": "sha256:ef5dc264a54775dd7123e74d3366d347683aedf15e897a6893e6c60cc9d64d5d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001960", "prompt": "Evaluate: -18 / (-3 * 680 / (-14))", "solution_steps": ["Multiply: -3 * 680 = -2040", "Divide: -2040 / (-14) = 1020/7", "Divide: -18 / (1020/7) = -21/170"], "final_answer": "-21/170", "answer_type": "rational", "kind": "expression", "math_text": "-18 / (-3 * 680 / (-14))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": -3, \"c\": 680, \"d\": -14}", "seed": "3519705044671988135", "semantic_fingerprint": "sha256:b7553fc344bbd245f498cd503e8712b51c16140fdaabd8bbaef1bc0caba4bf20", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001961", "prompt": "What value of x satisfies 8(x - 16) + 374 = -10x + 156?", "solution_steps": ["Expand: 8x - 128 + 374 = -10x + 156", "Combine constants: 8x + 246 = -10x + 156", "Add 10x to both sides: 18x + 246 = 156", "Subtract 246 from both sides: 18x = -90", "Divide both sides by 18: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 16) + 374 = -10x + 156", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 16, \"c\": 374, \"d\": -10, \"f\": 156, \"x\": -5}", "seed": "964986935099408045", "semantic_fingerprint": "sha256:47b970004f07430f962d871d4959c98f343dc6f0347aa40aa6632667728cf236", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001962", "prompt": "Evaluate: 0 / (8 - 6 - 0)", "solution_steps": ["Subtract: 8 - 6 = 2", "Subtract: 2 - 0 = 2", "Divide: 0 / 2 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (8 - 6 - 0)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 8, \"c\": 6, \"d\": 0}", "seed": "6977417136366774802", "semantic_fingerprint": "sha256:be7892e676acaa8f39cf38bd9a596ecba690d002358abdeaa423c66080876e14", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001963", "prompt": "Compute: 15 + (3 * (-2) - (-60))", "solution_steps": ["Multiply: 3 * (-2) = -6", "Subtract: -6 - (-60) = 54", "Add: 15 + 54 = 69"], "final_answer": "69", "answer_type": "integer", "kind": "expression", "math_text": "15 + (3 * (-2) - (-60))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": 3, \"c\": -2, \"d\": -60}", "seed": "2564305862982819954", "semantic_fingerprint": "sha256:2bffd0ffd4abc41818627ff0d361130b90a1a8f84f7ad0b9e2c3816d3627d4de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001964", "prompt": "Calculate: -4 + 68 / (0 - 2)", "solution_steps": ["Subtract: 0 - 2 = -2", "Divide: 68 / (-2) = -34", "Add: -4 + (-34) = -38"], "final_answer": "-38", "answer_type": "integer", "kind": "expression", "math_text": "-4 + 68 / (0 - 2)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 68, \"c\": 0, \"d\": 2}", "seed": "16613825632919768856", "semantic_fingerprint": "sha256:cb30fd815192fc81c1f7193a8f5d1c85ab15f62edbd793ee0a61ba7f3f9e1012", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001965", "prompt": "Calculate: (36 + 972 - (-97)) / (864 / (-2))", "solution_steps": ["Add: 36 + 972 = 1008", "Subtract: 1008 - (-97) = 1105", "Divide: 864 / (-2) = -432", "Divide: 1105 / (-432) = -1105/432"], "final_answer": "-1105/432", "answer_type": "rational", "kind": "expression", "math_text": "(36 + 972 - (-97)) / (864 / (-2))", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": 972, \"c\": -97, \"d\": 864, \"e\": -2}", "seed": "4166250461770760846", "semantic_fingerprint": "sha256:f93eb1bdde9ba8f93c10ba3d753464e47ce963f579abb651db3940c1303d300a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001966", "prompt": "What value of x satisfies 6(x - 20) - 262 = -7(x - 9) - 198?", "solution_steps": ["Expand: 6x - 120 - 262 = -7(x - 9) - 198", "Expand: 6x - 120 - 262 = -7x + 63 - 198", "Combine constants: 6x - 382 = -7x + 63 - 198", "Combine constants: 6x - 382 = -7x - 135", "Add 7x to both sides: 13x - 382 = -135", "Add 382 to both sides: 13x = 247", "Divide both sides by 13: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 20) - 262 = -7(x - 9) - 198", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 20, \"c\": 262, \"d\": -7, \"e\": 9, \"g\": -198, \"x\": 19}", "seed": "1669853655778680796", "semantic_fingerprint": "sha256:211a7f93085c2d967c216c981665f0b195131910809c7904f4de85dfe7a46abe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001967", "prompt": "What is 2 + (-8) - (-58) / (-80) * (-707)?", "solution_steps": ["Add: 2 + (-8) = -6", "Divide: -58 / (-80) = 29/40", "Multiply: (29/40) * (-707) = -20503/40", "Subtract: -6 - (-20503/40) = 20263/40"], "final_answer": "20263/40", "answer_type": "rational", "kind": "expression", "math_text": "2 + (-8) - (-58) / (-80) * (-707)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (* (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -8, \"c\": -58, \"d\": -80, \"e\": -707}", "seed": "14786313413913718548", "semantic_fingerprint": "sha256:6bc6f759a68c6203a63f885e114c3aed013a8668880e4c2805dc5bad0b390a72", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001968", "prompt": "Solve the equation x - 8 = 7(x - 8) + 6 for x.", "solution_steps": ["Expand: x - 8 = 7x - 56 + 6", "Combine constants: x - 8 = 7x - 50", "Subtract 7x from both sides: -6x - 8 = -50", "Add 8 to both sides: -6x = -42", "Divide both sides by -6: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8 = 7(x - 8) + 6", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 8, \"e\": 6, \"x\": 7}", "seed": "4434976562327680305", "semantic_fingerprint": "sha256:2f77252d594a73c924b9b07c20aa8db1df81c38f67e5b7c5b030ff1cc866109f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001969", "prompt": "Compute: -4 + (0 + (-92)) - (-5)", "solution_steps": ["Add: 0 + (-92) = -92", "Add: -4 + (-92) = -96", "Subtract: -96 - (-5) = -91"], "final_answer": "-91", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (0 + (-92)) - (-5)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 0, \"c\": -92, \"d\": -5}", "seed": "14852790292845365406", "semantic_fingerprint": "sha256:658b03b1636b22a532cec3aa32d24553f33dc7815043d22751c850501d0e6298", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001970", "prompt": "Find x: 12(x - 2) - 66 = 4(x - 6) - 26", "solution_steps": ["Expand: 12x - 24 - 66 = 4(x - 6) - 26", "Expand: 12x - 24 - 66 = 4x - 24 - 26", "Combine constants: 12x - 90 = 4x - 24 - 26", "Combine constants: 12x - 90 = 4x - 50", "Subtract 4x from both sides: 8x - 90 = -50", "Add 90 to both sides: 8x = 40", "Divide both sides by 8: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 2) - 66 = 4(x - 6) - 26", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 66, \"d\": 4, \"e\": 6, \"g\": -26, \"x\": 5}", "seed": "5417533957181286709", "semantic_fingerprint": "sha256:8a8defa60a740b34848f7ef36351888a84973f9b57d5e6cb5332b9e658ae63cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001971", "prompt": "Solve for x: -10x - 3 = -8(x + 918) + 789", "solution_steps": ["Expand: -10x - 3 = -8x - 7344 + 789", "Combine constants: -10x - 3 = -8x - 6555", "Add 8x to both sides: -2x - 3 = -6555", "Add 3 to both sides: -2x = -6552", "Divide both sides by -2: x = 3276"], "final_answer": "3276", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x - 3 = -8(x + 918) + 789", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 3, \"c\": -8, \"d\": 918, \"e\": 789}", "seed": "6396872986141415467", "semantic_fingerprint": "sha256:90c61610af6d924ae89398847a1da0fd91eed8ed18fbc860d7b07c2327a818c8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001972", "prompt": "Calculate: 487 + 60 * 2 * ((-3 + 0) / 4)", "solution_steps": ["Multiply: 60 * 2 = 120", "Add: -3 + 0 = -3", "Divide: -3 / 4 = -3/4", "Multiply: 120 * (-3/4) = -90", "Add: 487 + (-90) = 397"], "final_answer": "397", "answer_type": "integer", "kind": "expression", "math_text": "487 + 60 * 2 * ((-3 + 0) / 4)", "variable": null, "family": "expression_5op", "shape": "(+ n (* (* n n) (/ (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 487, \"b\": 60, \"c\": 2, \"d\": -3, \"e\": 0, \"f\": 4}", "seed": "10132627926005143072", "semantic_fingerprint": "sha256:c5b95c89af2bac698cf7ee1e9d0ccc955fd3526ad07ab8f9e6f7a64e99625b0f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001973", "prompt": "What value of x satisfies x - 55 = 2(x - 47) + 23?", "solution_steps": ["Expand: x - 55 = 2x - 94 + 23", "Combine constants: x - 55 = 2x - 71", "Subtract 2x from both sides: -x - 55 = -71", "Add 55 to both sides: -x = -16", "Divide both sides by -1: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 55 = 2(x - 47) + 23", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 2, \"c\": 47, \"e\": 23, \"x\": 16}", "seed": "18191476686152275228", "semantic_fingerprint": "sha256:a15179441c2098a7b580a605d3429c0d6d9c2d83b975aebf34ef8bb76ad5d7f3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001974", "prompt": "Solve the equation 5(x - 49) = 4x - 255 for x.", "solution_steps": ["Expand: 5x - 245 = 4x - 255", "Subtract 4x from both sides: x - 245 = -255", "Add 245 to both sides: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 49) = 4x - 255", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 49, \"c\": 4, \"e\": -255, \"x\": -10}", "seed": "12526821285544938570", "semantic_fingerprint": "sha256:0a758e1c7bf35627711ab5a90ecb48b8efc58d0961ee844a5a17751e2ab95bd6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001975", "prompt": "What is -344 * (-96 + (-34 - 28)) + (70 + 5)?", "solution_steps": ["Subtract: -34 - 28 = -62", "Add: -96 + (-62) = -158", "Multiply: -344 * (-158) = 54352", "Add: 70 + 5 = 75", "Add: 54352 + 75 = 54427"], "final_answer": "54427", "answer_type": "integer", "kind": "expression", "math_text": "-344 * (-96 + (-34 - 28)) + (70 + 5)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ n (- n n))) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -344, \"b\": -96, \"c\": -34, \"d\": 28, \"e\": 70, \"f\": 5}", "seed": "3647027531195623720", "semantic_fingerprint": "sha256:f4c07d0bae9db9d492a282fdaf5f5ebc029822ecd2c99e54ab469830f23fc5dc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001976", "prompt": "Solve for x: -7(x - 74) - 815 = 5(x - 21)", "solution_steps": ["Expand: -7x + 518 - 815 = 5(x - 21)", "Expand: -7x + 518 - 815 = 5x - 105", "Combine constants: -7x - 297 = 5x - 105", "Subtract 5x from both sides: -12x - 297 = -105", "Add 297 to both sides: -12x = 192", "Divide both sides by -12: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 74) - 815 = 5(x - 21)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 74, \"c\": 5, \"d\": 21, \"f\": -815, \"x\": -16}", "seed": "9698491601497580447", "semantic_fingerprint": "sha256:919c3e8f0379de15f5d372ad72e79651d5df31caf329f885ee58a6e6d9fa59f2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001977", "prompt": "What is 440 - (-8) / 12 / (2 / (-687))?", "solution_steps": ["Divide: -8 / 12 = -2/3", "Divide: 2 / (-687) = -2/687", "Divide: (-2/3) / (-2/687) = 229", "Subtract: 440 - 229 = 211"], "final_answer": "211", "answer_type": "integer", "kind": "expression", "math_text": "440 - (-8) / 12 / (2 / (-687))", "variable": null, "family": "expression_4op", "shape": "(- n (/ (/ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 440, \"b\": -8, \"c\": 12, \"d\": 2, \"e\": -687}", "seed": "17121096790298363316", "semantic_fingerprint": "sha256:433bca9508f84aab5eb70d954f7ad2f8394a4de22fa11aca4b5d5420a7b5d782", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001978", "prompt": "Compute: 0 * (-35 / (-728)) + (-5 - (-941)) - 543", "solution_steps": ["Divide: -35 / (-728) = 5/104", "Multiply: 0 * (5/104) = 0", "Subtract: -5 - (-941) = 936", "Add: 0 + 936 = 936", "Subtract: 936 - 543 = 393"], "final_answer": "393", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-35 / (-728)) + (-5 - (-941)) - 543", "variable": null, "family": "expression_5op", "shape": "(- (+ (* n (/ n n)) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -35, \"c\": -728, \"d\": -5, \"e\": -941, \"f\": 543}", "seed": "302423587479395493", "semantic_fingerprint": "sha256:61dbe2cc8fe21f825579c0128816f9e308b2538b1325958f06dc181b607d071e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001979", "prompt": "Solve the equation 4(x - 3) - 273 = 5(x - 57) for x.", "solution_steps": ["Expand: 4x - 12 - 273 = 5(x - 57)", "Expand: 4x - 12 - 273 = 5x - 285", "Combine constants: 4x - 285 = 5x - 285", "Subtract 5x from both sides: -x - 285 = -285", "Add 285 to both sides: -x = 0", "Divide both sides by -1: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 3) - 273 = 5(x - 57)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 3, \"c\": 5, \"d\": 57, \"f\": -273, \"x\": 0}", "seed": "6497979677561412896", "semantic_fingerprint": "sha256:9623812ae4bf14762b4776567dd432351a04102b5b6ea68a2b40bf88891354ad", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001980", "prompt": "Compute: -927 - 8 - (-82) * (0 * (-51))", "solution_steps": ["Subtract: -927 - 8 = -935", "Multiply: 0 * (-51) = 0", "Multiply: -82 * 0 = 0", "Subtract: -935 - 0 = -935"], "final_answer": "-935", "answer_type": "integer", "kind": "expression", "math_text": "-927 - 8 - (-82) * (0 * (-51))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -927, \"b\": 8, \"c\": -82, \"d\": 0, \"e\": -51}", "seed": "17739457436084133344", "semantic_fingerprint": "sha256:784a0bf232610bde06a424248375a810ddca2e6d75029e0ed1b4951a4e490a7d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001981", "prompt": "Calculate: -6 + 3 + (274 - (-3)) * (-153)", "solution_steps": ["Add: -6 + 3 = -3", "Subtract: 274 - (-3) = 277", "Multiply: 277 * (-153) = -42381", "Add: -3 + (-42381) = -42384"], "final_answer": "-42384", "answer_type": "integer", "kind": "expression", "math_text": "-6 + 3 + (274 - (-3)) * (-153)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 3, \"c\": 274, \"d\": -3, \"e\": -153}", "seed": "5124601528972211147", "semantic_fingerprint": "sha256:ab02ec7f18febc17179b4196c24781e2b2c2c6b57033e537001764e3dda2e6d3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001982", "prompt": "Compute: -6 / (317 / (-6 - (-91) / (-3)))", "solution_steps": ["Divide: -91 / (-3) = 91/3", "Subtract: -6 - 91/3 = -109/3", "Divide: 317 / (-109/3) = -951/109", "Divide: -6 / (-951/109) = 218/317"], "final_answer": "218/317", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (317 / (-6 - (-91) / (-3)))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ n (- n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 317, \"c\": -6, \"d\": -91, \"e\": -3}", "seed": "5077972688504436719", "semantic_fingerprint": "sha256:318252c12b1b6bf2b6418b47c5eeabe83cae88dec970a2dae6a25fa212e19eab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001983", "prompt": "Compute: 46 / (-586 - 80 - (-10))", "solution_steps": ["Subtract: -586 - 80 = -666", "Subtract: -666 - (-10) = -656", "Divide: 46 / (-656) = -23/328"], "final_answer": "-23/328", "answer_type": "rational", "kind": "expression", "math_text": "46 / (-586 - 80 - (-10))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -586, \"c\": 80, \"d\": -10}", "seed": "2978859765085612568", "semantic_fingerprint": "sha256:9eb9222f3835c6212398969290ebdb7804fcbe922d20305e58aba43e52a99a15", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001984", "prompt": "Calculate: -21 / 12 + 2 / (-846)", "solution_steps": ["Divide: -21 / 12 = -7/4", "Divide: 2 / (-846) = -1/423", "Add: -7/4 + (-1/423) = -2965/1692"], "final_answer": "-2965/1692", "answer_type": "rational", "kind": "expression", "math_text": "-21 / 12 + 2 / (-846)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": 12, \"c\": 2, \"d\": -846}", "seed": "13966825414728749837", "semantic_fingerprint": "sha256:7775a803b6657415f88df8798a48c681fa848735eaf125bfd0357e0d9deb340c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001985", "prompt": "What value of x satisfies -2(x - 57) - 902 = -7(x - 6) - 855?", "solution_steps": ["Expand: -2x + 114 - 902 = -7(x - 6) - 855", "Expand: -2x + 114 - 902 = -7x + 42 - 855", "Combine constants: -2x - 788 = -7x + 42 - 855", "Combine constants: -2x - 788 = -7x - 813", "Add 7x to both sides: 5x - 788 = -813", "Add 788 to both sides: 5x = -25", "Divide both sides by 5: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 57) - 902 = -7(x - 6) - 855", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 57, \"c\": 902, \"d\": -7, \"e\": 6, \"g\": -855, \"x\": -5}", "seed": "12948414478747881738", "semantic_fingerprint": "sha256:7ef8938f2ed9d924da57ec16d381f1d0af080e74ff6214bb7abc4b7e1b95dfbc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001986", "prompt": "What is (803 - (-64)) * (-1) - (-8) / (83 / (-507))?", "solution_steps": ["Subtract: 803 - (-64) = 867", "Multiply: 867 * (-1) = -867", "Divide: 83 / (-507) = -83/507", "Divide: -8 / (-83/507) = 4056/83", "Subtract: -867 - 4056/83 = -76017/83"], "final_answer": "-76017/83", "answer_type": "rational", "kind": "expression", "math_text": "(803 - (-64)) * (-1) - (-8) / (83 / (-507))", "variable": null, "family": "expression_5op", "shape": "(- (* (- n n) n) (/ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 803, \"b\": -64, \"c\": -1, \"d\": -8, \"e\": 83, \"f\": -507}", "seed": "13487204695876437003", "semantic_fingerprint": "sha256:456a4a276ed11f2bab45d33f14ef8713227884052a5e412af091828b4499d4c5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001987", "prompt": "Compute: -3 * ((0 + (-29)) * (-9) / (-6))", "solution_steps": ["Add: 0 + (-29) = -29", "Multiply: -29 * (-9) = 261", "Divide: 261 / (-6) = -87/2", "Multiply: -3 * (-87/2) = 261/2"], "final_answer": "261/2", "answer_type": "rational", "kind": "expression", "math_text": "-3 * ((0 + (-29)) * (-9) / (-6))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (* (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 0, \"c\": -29, \"d\": -9, \"e\": -6}", "seed": "15592660050277504068", "semantic_fingerprint": "sha256:b7b36fafe108c8288ff3a69d510fabc7e773eadb579aaa420c86890ed603694d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001988", "prompt": "Calculate: -280 + (-48) - (-59 + 954)", "solution_steps": ["Add: -280 + (-48) = -328", "Add: -59 + 954 = 895", "Subtract: -328 - 895 = -1223"], "final_answer": "-1223", "answer_type": "integer", "kind": "expression", "math_text": "-280 + (-48) - (-59 + 954)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -280, \"b\": -48, \"c\": -59, \"d\": 954}", "seed": "5436407651535815070", "semantic_fingerprint": "sha256:7510b5328184eeec7389e511f1fdd312e6c5591bb9f8b5bbeb68f68a42e11b6c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001989", "prompt": "What is 3 / (-6 - (-814) - (-81))?", "solution_steps": ["Subtract: -6 - (-814) = 808", "Subtract: 808 - (-81) = 889", "Divide: 3 / 889 = 3/889"], "final_answer": "3/889", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-6 - (-814) - (-81))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -6, \"c\": -814, \"d\": -81}", "seed": "15596877119888791096", "semantic_fingerprint": "sha256:803c5cfc40f3186c641f829d69dcdf4c48eb8764d362a4f39dd7b829958139ff", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001990", "prompt": "Find x: 12(x - 1) + 19 = 11x + 8", "solution_steps": ["Expand: 12x - 12 + 19 = 11x + 8", "Combine constants: 12x + 7 = 11x + 8", "Subtract 11x from both sides: x + 7 = 8", "Subtract 7 from both sides: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 1) + 19 = 11x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 1, \"c\": 19, \"d\": 11, \"f\": 8, \"x\": 1}", "seed": "8548188328887963723", "semantic_fingerprint": "sha256:cd1ee479776dbaecc8568c045dd771c89e5316e7f2fcdf07440b56e66ad746f4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001991", "prompt": "Find x: 7x - 40 = -8(x + 82) + 751", "solution_steps": ["Expand: 7x - 40 = -8x - 656 + 751", "Combine constants: 7x - 40 = -8x + 95", "Add 8x to both sides: 15x - 40 = 95", "Add 40 to both sides: 15x = 135", "Divide both sides by 15: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 40 = -8(x + 82) + 751", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 40, \"c\": -8, \"d\": 82, \"f\": 751, \"x\": 9}", "seed": "3250661376583136962", "semantic_fingerprint": "sha256:0ebc21594b8832d96bb6cca339a164a17e167b916c5bf540f231b68d24b38a02", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001992", "prompt": "Evaluate: 0 - (-4) * 64 - (-3)", "solution_steps": ["Multiply: -4 * 64 = -256", "Subtract: 0 - (-256) = 256", "Subtract: 256 - (-3) = 259"], "final_answer": "259", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-4) * 64 - (-3)", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -4, \"c\": 64, \"d\": -3}", "seed": "841391768972080235", "semantic_fingerprint": "sha256:936b659a6b0fa95ac32435bbb07ab4d0084089885f961257b1ff53b9cbe2603d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001993", "prompt": "Find x: 2x - 52 = -4(x + 16) + 120", "solution_steps": ["Expand: 2x - 52 = -4x - 64 + 120", "Combine constants: 2x - 52 = -4x + 56", "Add 4x to both sides: 6x - 52 = 56", "Add 52 to both sides: 6x = 108", "Divide both sides by 6: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 52 = -4(x + 16) + 120", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 52, \"c\": -4, \"d\": 16, \"f\": 120, \"x\": 18}", "seed": "13369131582340696460", "semantic_fingerprint": "sha256:786e4898452e3328ecdab81d169239a0740ccb0c2053c400196968a162623148", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001994", "prompt": "What value of x satisfies 2(x + 7) - 19 = x - 95?", "solution_steps": ["Expand: 2x + 14 - 19 = x - 95", "Combine constants: 2x - 5 = x - 95", "Subtract x from both sides: x - 5 = -95", "Add 5 to both sides: x = -90"], "final_answer": "-90", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 7) - 19 = x - 95", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": 19, \"d\": 95}", "seed": "5824023160263915868", "semantic_fingerprint": "sha256:f7054a2280190132a5c01cd562175fdd368788132d690c9bc1f2e28c42a33068", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001995", "prompt": "What value of x satisfies 7(x - 7) - 8 = 3(x - 93)?", "solution_steps": ["Expand: 7x - 49 - 8 = 3(x - 93)", "Expand: 7x - 49 - 8 = 3x - 279", "Combine constants: 7x - 57 = 3x - 279", "Subtract 3x from both sides: 4x - 57 = -279", "Add 57 to both sides: 4x = -222", "Divide both sides by 4: x = -111/2"], "final_answer": "-111/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 7) - 8 = 3(x - 93)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 8, \"d\": 3, \"e\": 93}", "seed": "10009660147460262668", "semantic_fingerprint": "sha256:6e423efd40b3ad33007e074c4916ede5146c4ab54c22e92c24e7237ff6f37449", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001996", "prompt": "Compute: (330 + (-1)) * (-31 - (-1 + 6)) - (-31)", "solution_steps": ["Add: 330 + (-1) = 329", "Add: -1 + 6 = 5", "Subtract: -31 - 5 = -36", "Multiply: 329 * (-36) = -11844", "Subtract: -11844 - (-31) = -11813"], "final_answer": "-11813", "answer_type": "integer", "kind": "expression", "math_text": "(330 + (-1)) * (-31 - (-1 + 6)) - (-31)", "variable": null, "family": "expression_5op", "shape": "(- (* (+ n n) (- n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 330, \"b\": -1, \"c\": -31, \"d\": -1, \"e\": 6, \"f\": -31}", "seed": "16673779637692476458", "semantic_fingerprint": "sha256:d77844d16edb60cb69c95563318fc9edd2ef5aaeb550b71a3648dcb35f7e57f3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001997", "prompt": "What is -62 * 7 / (161 + (-94))?", "solution_steps": ["Multiply: -62 * 7 = -434", "Add: 161 + (-94) = 67", "Divide: -434 / 67 = -434/67"], "final_answer": "-434/67", "answer_type": "rational", "kind": "expression", "math_text": "-62 * 7 / (161 + (-94))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": 7, \"c\": 161, \"d\": -94}", "seed": "14471817556134139439", "semantic_fingerprint": "sha256:03f2af6081bd0121c1f23ae87d1e7f680528e9826ae47a57955b046f7e4b64f0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001998", "prompt": "What value of x satisfies x - 82 = 9(x - 42) + 224?", "solution_steps": ["Expand: x - 82 = 9x - 378 + 224", "Combine constants: x - 82 = 9x - 154", "Subtract 9x from both sides: -8x - 82 = -154", "Add 82 to both sides: -8x = -72", "Divide both sides by -8: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 82 = 9(x - 42) + 224", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 9, \"c\": 42, \"e\": 224, \"x\": 9}", "seed": "15416707191409790576", "semantic_fingerprint": "sha256:5f496d8fed1c6fec9994251d9c21f3f3f4f756e0aa7f80e057dedf3616203152", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00001999", "prompt": "Evaluate: -9 / 13 + (-528 + 2) / (-1) * 47", "solution_steps": ["Divide: -9 / 13 = -9/13", "Add: -528 + 2 = -526", "Divide: -526 / (-1) = 526", "Multiply: 526 * 47 = 24722", "Add: -9/13 + 24722 = 321377/13"], "final_answer": "321377/13", "answer_type": "rational", "kind": "expression", "math_text": "-9 / 13 + (-528 + 2) / (-1) * 47", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (* (/ (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 13, \"c\": -528, \"d\": 2, \"e\": -1, \"f\": 47}", "seed": "12656673344024101499", "semantic_fingerprint": "sha256:4d7bad7023abf623faa437d710eb05102c8645482e2b4c4b6ef9f9a4986866ed", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002000", "prompt": "What value of x satisfies 11(x + 95) + 56 = 2(x + 4) - 22?", "solution_steps": ["Expand: 11x + 1045 + 56 = 2(x + 4) - 22", "Expand: 11x + 1045 + 56 = 2x + 8 - 22", "Combine constants: 11x + 1101 = 2x + 8 - 22", "Combine constants: 11x + 1101 = 2x - 14", "Subtract 2x from both sides: 9x + 1101 = -14", "Subtract 1101 from both sides: 9x = -1115", "Divide both sides by 9: x = -1115/9"], "final_answer": "-1115/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 95) + 56 = 2(x + 4) - 22", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 95, \"c\": 56, \"d\": 2, \"e\": 4, \"f\": 22}", "seed": "12743096846468268708", "semantic_fingerprint": "sha256:45e0ea20283c0364e5e8b697184d6eb9201ee03f1e4af78016c3e4c1f8c9df81", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002001", "prompt": "Calculate: -1 * (-4) / 28 / 1", "solution_steps": ["Multiply: -1 * (-4) = 4", "Divide: 4 / 28 = 1/7", "Divide: (1/7) / 1 = 1/7"], "final_answer": "1/7", "answer_type": "rational", "kind": "expression", "math_text": "-1 * (-4) / 28 / 1", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -4, \"c\": 28, \"d\": 1}", "seed": "11300241879934116187", "semantic_fingerprint": "sha256:277d7dfa190c76005a76909d1ce3faffb8a861deafbf4e36260ce061177511be", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002002", "prompt": "Calculate: -62 + 5 / (-6) / (716 / (-316))", "solution_steps": ["Divide: 5 / (-6) = -5/6", "Divide: 716 / (-316) = -179/79", "Divide: (-5/6) / (-179/79) = 395/1074", "Add: -62 + 395/1074 = -66193/1074"], "final_answer": "-66193/1074", "answer_type": "rational", "kind": "expression", "math_text": "-62 + 5 / (-6) / (716 / (-316))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (/ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": 5, \"c\": -6, \"d\": 716, \"e\": -316}", "seed": "3248375169644629941", "semantic_fingerprint": "sha256:3fe5b9ef5282064e71ee3011926313d5990f98c552ec54cb64b07d666e0f2a7e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002003", "prompt": "Compute: 0 / (59 / (9 * (-85)))", "solution_steps": ["Multiply: 9 * (-85) = -765", "Divide: 59 / (-765) = -59/765", "Divide: 0 / (-59/765) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (59 / (9 * (-85)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 59, \"c\": 9, \"d\": -85}", "seed": "14012972325196408271", "semantic_fingerprint": "sha256:8cce224ee5eb4d5e53283045c7610723b33e4cbb6984c76d54bb1531d3a2c68d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002004", "prompt": "Evaluate: -18 * (-3) - (-51 - (-61 + 895))", "solution_steps": ["Multiply: -18 * (-3) = 54", "Add: -61 + 895 = 834", "Subtract: -51 - 834 = -885", "Subtract: 54 - (-885) = 939"], "final_answer": "939", "answer_type": "integer", "kind": "expression", "math_text": "-18 * (-3) - (-51 - (-61 + 895))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": -3, \"c\": -51, \"d\": -61, \"e\": 895}", "seed": "10313683001983674009", "semantic_fingerprint": "sha256:bdbe64077d853fe537ddd5c1d1c595369e6c1efdf00a33dca1dab5c11d64565d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002005", "prompt": "Solve for x: 11(x - 4) + 540 = -7(x - 94)", "solution_steps": ["Expand: 11x - 44 + 540 = -7(x - 94)", "Expand: 11x - 44 + 540 = -7x + 658", "Combine constants: 11x + 496 = -7x + 658", "Add 7x to both sides: 18x + 496 = 658", "Subtract 496 from both sides: 18x = 162", "Divide both sides by 18: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 4) + 540 = -7(x - 94)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": -7, \"d\": 94, \"f\": 540, \"x\": 9}", "seed": "6098870096219310762", "semantic_fingerprint": "sha256:24641737d0c1e1d254328997cc63ce47e604c61c12b0f2c564bf585427d48fa7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002006", "prompt": "Compute: (-4 - (-44)) / (4 + (-606) - (92 + 72))", "solution_steps": ["Subtract: -4 - (-44) = 40", "Add: 4 + (-606) = -602", "Add: 92 + 72 = 164", "Subtract: -602 - 164 = -766", "Divide: 40 / (-766) = -20/383"], "final_answer": "-20/383", "answer_type": "rational", "kind": "expression", "math_text": "(-4 - (-44)) / (4 + (-606) - (92 + 72))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (- (+ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -44, \"c\": 4, \"d\": -606, \"e\": 92, \"f\": 72}", "seed": "14766611715998572038", "semantic_fingerprint": "sha256:b5ebe4a7588e0900d55ad4a2a27e523a0ec0629c578b4f3d39c0079b83f4cd65", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002007", "prompt": "Compute: -60 + 6 / (-34) / (-8)", "solution_steps": ["Divide: 6 / (-34) = -3/17", "Divide: (-3/17) / (-8) = 3/136", "Add: -60 + 3/136 = -8157/136"], "final_answer": "-8157/136", "answer_type": "rational", "kind": "expression", "math_text": "-60 + 6 / (-34) / (-8)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": 6, \"c\": -34, \"d\": -8}", "seed": "12004712737425007228", "semantic_fingerprint": "sha256:7f246c5ecd3633d6dbed585149217dbb99f51414890fe696078deb57c1f16a98", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002008", "prompt": "Calculate: 3 / 42 - (-5) - (-88)", "solution_steps": ["Divide: 3 / 42 = 1/14", "Subtract: 1/14 - (-5) = 71/14", "Subtract: 71/14 - (-88) = 1303/14"], "final_answer": "1303/14", "answer_type": "rational", "kind": "expression", "math_text": "3 / 42 - (-5) - (-88)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 42, \"c\": -5, \"d\": -88}", "seed": "9071515935584462700", "semantic_fingerprint": "sha256:2b915597978dc489174cfb18e3733c3bc85519147e163734de8ff99fdfbd026f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002009", "prompt": "Solve for x: 3(x - 93) + 57 = -5(x + 6) - 230", "solution_steps": ["Expand: 3x - 279 + 57 = -5(x + 6) - 230", "Expand: 3x - 279 + 57 = -5x - 30 - 230", "Combine constants: 3x - 222 = -5x - 30 - 230", "Combine constants: 3x - 222 = -5x - 260", "Add 5x to both sides: 8x - 222 = -260", "Add 222 to both sides: 8x = -38", "Divide both sides by 8: x = -19/4"], "final_answer": "-19/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 93) + 57 = -5(x + 6) - 230", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 93, \"c\": 57, \"d\": -5, \"e\": 6, \"f\": 230}", "seed": "16268582601606913633", "semantic_fingerprint": "sha256:975242c4dadd8febbe206e1db77850851394d04ce094f11c080b02131b0b4e73", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002010", "prompt": "Evaluate: 302 + 171 - 5 * 0 / 49", "solution_steps": ["Add: 302 + 171 = 473", "Multiply: 5 * 0 = 0", "Divide: 0 / 49 = 0", "Subtract: 473 - 0 = 473"], "final_answer": "473", "answer_type": "integer", "kind": "expression", "math_text": "302 + 171 - 5 * 0 / 49", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 302, \"b\": 171, \"c\": 5, \"d\": 0, \"e\": 49}", "seed": "7901213034161538391", "semantic_fingerprint": "sha256:92a6cc1c717dae1ebf70be0d891d7f9da2f4a8d29265085df79fb55d3c96cc4a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002011", "prompt": "Find x: 7(x + 2) - 48 = x - 304", "solution_steps": ["Expand: 7x + 14 - 48 = x - 304", "Combine constants: 7x - 34 = x - 304", "Subtract x from both sides: 6x - 34 = -304", "Add 34 to both sides: 6x = -270", "Divide both sides by 6: x = -45"], "final_answer": "-45", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 2) - 48 = x - 304", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": 48, \"d\": 304}", "seed": "12412473016082783873", "semantic_fingerprint": "sha256:5f4cfb7c826938d82fa199326577228c472765d27cd3edfd7991d844e886860c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002012", "prompt": "Solve for x: 10(x - 64) + 408 = 2(x - 36)", "solution_steps": ["Expand: 10x - 640 + 408 = 2(x - 36)", "Expand: 10x - 640 + 408 = 2x - 72", "Combine constants: 10x - 232 = 2x - 72", "Subtract 2x from both sides: 8x - 232 = -72", "Add 232 to both sides: 8x = 160", "Divide both sides by 8: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 64) + 408 = 2(x - 36)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 64, \"c\": 2, \"d\": 36, \"f\": 408, \"x\": 20}", "seed": "2376668745533241951", "semantic_fingerprint": "sha256:914df385d92ec9e2b0dc775920039026396d1fbb4d4cbfe68a55977f8009f505", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002013", "prompt": "Evaluate: -591 - (-9) / (7 / 71)", "solution_steps": ["Divide: 7 / 71 = 7/71", "Divide: -9 / (7/71) = -639/7", "Subtract: -591 - (-639/7) = -3498/7"], "final_answer": "-3498/7", "answer_type": "rational", "kind": "expression", "math_text": "-591 - (-9) / (7 / 71)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -591, \"b\": -9, \"c\": 7, \"d\": 71}", "seed": "13580026502175874374", "semantic_fingerprint": "sha256:ed5844083a39723cfe6c7a517d25bda1fe2fa52702c11524d72fb3ca46e53609", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002014", "prompt": "Solve for x: -7(x + 96) + 86 = 5(x + 81) - 979", "solution_steps": ["Expand: -7x - 672 + 86 = 5(x + 81) - 979", "Expand: -7x - 672 + 86 = 5x + 405 - 979", "Combine constants: -7x - 586 = 5x + 405 - 979", "Combine constants: -7x - 586 = 5x - 574", "Subtract 5x from both sides: -12x - 586 = -574", "Add 586 to both sides: -12x = 12", "Divide both sides by -12: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 96) + 86 = 5(x + 81) - 979", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 96, \"c\": 86, \"d\": 5, \"e\": 81, \"g\": -979, \"x\": -1}", "seed": "4129695769317807876", "semantic_fingerprint": "sha256:bbf5db28e39adfad344c70cf31888f0fff250d9666fe95e18b0bb5bc19a29cdb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002015", "prompt": "Calculate: 88 * 7 + (-423 / (-592) - 961)", "solution_steps": ["Multiply: 88 * 7 = 616", "Divide: -423 / (-592) = 423/592", "Subtract: 423/592 - 961 = -568489/592", "Add: 616 + (-568489/592) = -203817/592"], "final_answer": "-203817/592", "answer_type": "rational", "kind": "expression", "math_text": "88 * 7 + (-423 / (-592) - 961)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 7, \"c\": -423, \"d\": -592, \"e\": 961}", "seed": "14634571575531650226", "semantic_fingerprint": "sha256:f14d676e33fbf68a591951782f379b6dcc2dc53b0b38753900a4a59d3d58afcc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002016", "prompt": "Find x: x - 18 = 5(x - 67) + 389", "solution_steps": ["Expand: x - 18 = 5x - 335 + 389", "Combine constants: x - 18 = 5x + 54", "Subtract 5x from both sides: -4x - 18 = 54", "Add 18 to both sides: -4x = 72", "Divide both sides by -4: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 18 = 5(x - 67) + 389", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 5, \"c\": 67, \"e\": 389, \"x\": -18}", "seed": "12327302038493422570", "semantic_fingerprint": "sha256:33e00eda4987cdfe0cdf1e60a983a8530b3437ef5fa14770c5a1fa0f737e30cd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002017", "prompt": "What is (543 + (-8) * (-2)) * (-14 - 220)?", "solution_steps": ["Multiply: -8 * (-2) = 16", "Add: 543 + 16 = 559", "Subtract: -14 - 220 = -234", "Multiply: 559 * (-234) = -130806"], "final_answer": "-130806", "answer_type": "integer", "kind": "expression", "math_text": "(543 + (-8) * (-2)) * (-14 - 220)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 543, \"b\": -8, \"c\": -2, \"d\": -14, \"e\": 220}", "seed": "7224923909492883328", "semantic_fingerprint": "sha256:cd9b4e80dbdb60f3028104d7c6c0c932d511108a9e5605ea73cf8f4537751496", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002018", "prompt": "Compute: (-8 + 97) / (-664 + (4 - (-80)))", "solution_steps": ["Add: -8 + 97 = 89", "Subtract: 4 - (-80) = 84", "Add: -664 + 84 = -580", "Divide: 89 / (-580) = -89/580"], "final_answer": "-89/580", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + 97) / (-664 + (4 - (-80)))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 97, \"c\": -664, \"d\": 4, \"e\": -80}", "seed": "6730769075375753003", "semantic_fingerprint": "sha256:7bbd141ed3e2f392448f180700e9dad852f8e85aca126ff6ebad1eb33e773cbb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002019", "prompt": "Calculate: 326 / (3 * (-9)) - 45", "solution_steps": ["Multiply: 3 * (-9) = -27", "Divide: 326 / (-27) = -326/27", "Subtract: -326/27 - 45 = -1541/27"], "final_answer": "-1541/27", "answer_type": "rational", "kind": "expression", "math_text": "326 / (3 * (-9)) - 45", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 326, \"b\": 3, \"c\": -9, \"d\": 45}", "seed": "17374174986651292786", "semantic_fingerprint": "sha256:a3c6391d83aae389c9bb5f19a1b0c3c2fd36c70aea6a6226e60c89e5c93e611a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002020", "prompt": "Find x: x - 67 = -6(x - 99) + 21", "solution_steps": ["Expand: x - 67 = -6x + 594 + 21", "Combine constants: x - 67 = -6x + 615", "Add 6x to both sides: 7x - 67 = 615", "Add 67 to both sides: 7x = 682", "Divide both sides by 7: x = 682/7"], "final_answer": "682/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 67 = -6(x - 99) + 21", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -6, \"c\": 99, \"d\": 21}", "seed": "13199648043677884973", "semantic_fingerprint": "sha256:3b10a878a55149c1377ed0ab128f56f51c1590c50efcad93a892d22294a51721", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002021", "prompt": "Compute: 325 / (-789 * 2 / (-8))", "solution_steps": ["Multiply: -789 * 2 = -1578", "Divide: -1578 / (-8) = 789/4", "Divide: 325 / (789/4) = 1300/789"], "final_answer": "1300/789", "answer_type": "rational", "kind": "expression", "math_text": "325 / (-789 * 2 / (-8))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 325, \"b\": -789, \"c\": 2, \"d\": -8}", "seed": "15252174634546100477", "semantic_fingerprint": "sha256:404d5bb9ad7298287c60ac0dc1f38ddbe5196c4d2699fe0c7ec0497e0e719f8c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002022", "prompt": "Evaluate: (-770 - 948) / (-4 * (-9))", "solution_steps": ["Subtract: -770 - 948 = -1718", "Multiply: -4 * (-9) = 36", "Divide: -1718 / 36 = -859/18"], "final_answer": "-859/18", "answer_type": "rational", "kind": "expression", "math_text": "(-770 - 948) / (-4 * (-9))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -770, \"b\": 948, \"c\": -4, \"d\": -9}", "seed": "8082940739635142656", "semantic_fingerprint": "sha256:4455cb78bc7b2699210671db6c3a7f966774c74e68dec021b085963916c0c274", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002023", "prompt": "What is 904 - (-6 * 36 + 86)?", "solution_steps": ["Multiply: -6 * 36 = -216", "Add: -216 + 86 = -130", "Subtract: 904 - (-130) = 1034"], "final_answer": "1034", "answer_type": "integer", "kind": "expression", "math_text": "904 - (-6 * 36 + 86)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 904, \"b\": -6, \"c\": 36, \"d\": 86}", "seed": "5155028806701987422", "semantic_fingerprint": "sha256:4e1c682e72a088883dd31c5b00af4df41deb65a7d02e33e7aba24f7e286a69d5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002024", "prompt": "Find x: 8(x - 3) + 5 = 12(x + 9) - 63", "solution_steps": ["Expand: 8x - 24 + 5 = 12(x + 9) - 63", "Expand: 8x - 24 + 5 = 12x + 108 - 63", "Combine constants: 8x - 19 = 12x + 108 - 63", "Combine constants: 8x - 19 = 12x + 45", "Subtract 12x from both sides: -4x - 19 = 45", "Add 19 to both sides: -4x = 64", "Divide both sides by -4: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 3) + 5 = 12(x + 9) - 63", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 5, \"d\": 12, \"e\": 9, \"g\": -63, \"x\": -16}", "seed": "11830101036323061267", "semantic_fingerprint": "sha256:b4fb11a6298a223b877630cfd975478aa1451779c552b53672245ff8f0963115", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002025", "prompt": "Calculate: 60 * (4 * 609) - 8", "solution_steps": ["Multiply: 4 * 609 = 2436", "Multiply: 60 * 2436 = 146160", "Subtract: 146160 - 8 = 146152"], "final_answer": "146152", "answer_type": "integer", "kind": "expression", "math_text": "60 * (4 * 609) - 8", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 4, \"c\": 609, \"d\": 8}", "seed": "11014705518549766086", "semantic_fingerprint": "sha256:794170069aa0c7fbe9eec9915d6edf81ece0dfe92dff1b160123bba552e017f4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002026", "prompt": "What is 500 / 90 + (-685) / (-37)?", "solution_steps": ["Divide: 500 / 90 = 50/9", "Divide: -685 / (-37) = 685/37", "Add: 50/9 + 685/37 = 8015/333"], "final_answer": "8015/333", "answer_type": "rational", "kind": "expression", "math_text": "500 / 90 + (-685) / (-37)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 500, \"b\": 90, \"c\": -685, \"d\": -37}", "seed": "6260904312768265404", "semantic_fingerprint": "sha256:68b76cc82113ba8a93a15b6cda64b6a8df87e55eb0bb0b4002b629b80e6874ac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002027", "prompt": "Solve the equation -7(x - 93) + 39 = -12(x - 1) for x.", "solution_steps": ["Expand: -7x + 651 + 39 = -12(x - 1)", "Expand: -7x + 651 + 39 = -12x + 12", "Combine constants: -7x + 690 = -12x + 12", "Add 12x to both sides: 5x + 690 = 12", "Subtract 690 from both sides: 5x = -678", "Divide both sides by 5: x = -678/5"], "final_answer": "-678/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x - 93) + 39 = -12(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 93, \"c\": 39, \"d\": -12, \"e\": 1}", "seed": "17584696335861311806", "semantic_fingerprint": "sha256:f0da582ac4ee8b8cb0320b9ef87d62232f897ee1680025923458c20e468143ee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002028", "prompt": "Solve for x: -12(x + 56) - 59 = x - 770", "solution_steps": ["Expand: -12x - 672 - 59 = x - 770", "Combine constants: -12x - 731 = x - 770", "Subtract x from both sides: -13x - 731 = -770", "Add 731 to both sides: -13x = -39", "Divide both sides by -13: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 56) - 59 = x - 770", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 56, \"c\": 59, \"e\": -770, \"x\": 3}", "seed": "1519937147283088783", "semantic_fingerprint": "sha256:b878db81cc8857155474b5620e9e73203906e6dbf2169ce6e9bd8f66a096d7a0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002029", "prompt": "Solve the equation -2(x - 464) = 4x - 1 for x.", "solution_steps": ["Expand: -2x + 928 = 4x - 1", "Subtract 4x from both sides: -6x + 928 = -1", "Subtract 928 from both sides: -6x = -929", "Divide both sides by -6: x = 929/6"], "final_answer": "929/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 464) = 4x - 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 464, \"c\": 4, \"d\": 1}", "seed": "14837353458082371904", "semantic_fingerprint": "sha256:1e790d2ba4582347dd7808ffe6e00e14929fb04c8ce88de8cf28e94a71e8f7aa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002030", "prompt": "Compute: 853 + 57 / (-5) / 8", "solution_steps": ["Divide: 57 / (-5) = -57/5", "Divide: (-57/5) / 8 = -57/40", "Add: 853 + (-57/40) = 34063/40"], "final_answer": "34063/40", "answer_type": "rational", "kind": "expression", "math_text": "853 + 57 / (-5) / 8", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 853, \"b\": 57, \"c\": -5, \"d\": 8}", "seed": "1298700891375878283", "semantic_fingerprint": "sha256:b378f889ff3449497c97256c64af51aaeb4531d8692179004766b859cba42dcc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002031", "prompt": "Find x: 8(x + 21) + 425 = -10(x + 9) - 19", "solution_steps": ["Expand: 8x + 168 + 425 = -10(x + 9) - 19", "Expand: 8x + 168 + 425 = -10x - 90 - 19", "Combine constants: 8x + 593 = -10x - 90 - 19", "Combine constants: 8x + 593 = -10x - 109", "Add 10x to both sides: 18x + 593 = -109", "Subtract 593 from both sides: 18x = -702", "Divide both sides by 18: x = -39"], "final_answer": "-39", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 21) + 425 = -10(x + 9) - 19", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 21, \"c\": 425, \"d\": -10, \"e\": 9, \"f\": 19}", "seed": "7668088875992967601", "semantic_fingerprint": "sha256:bbda9dc638084612a4627dc5ed773290268cceccd45623ebecf6cf418ac66f0e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002032", "prompt": "Compute: 69 / 2 * 39 + (35 + (-521))", "solution_steps": ["Divide: 69 / 2 = 69/2", "Multiply: (69/2) * 39 = 2691/2", "Add: 35 + (-521) = -486", "Add: 2691/2 + (-486) = 1719/2"], "final_answer": "1719/2", "answer_type": "rational", "kind": "expression", "math_text": "69 / 2 * 39 + (35 + (-521))", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 2, \"c\": 39, \"d\": 35, \"e\": -521}", "seed": "13185058700929796323", "semantic_fingerprint": "sha256:073b299a31bc6b00283182e7833bc785f4e5f1c47d7f96e3bbbcb56c2b9be2a7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002033", "prompt": "Evaluate: (47 - 31) * (83 / (-18))", "solution_steps": ["Subtract: 47 - 31 = 16", "Divide: 83 / (-18) = -83/18", "Multiply: 16 * (-83/18) = -664/9"], "final_answer": "-664/9", "answer_type": "rational", "kind": "expression", "math_text": "(47 - 31) * (83 / (-18))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": 31, \"c\": 83, \"d\": -18}", "seed": "2210368740268905462", "semantic_fingerprint": "sha256:6d4dba776d24604b042f76646372d19f18be48906e9a1da90a45701ef729fa17", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002034", "prompt": "Calculate: 7 - (-40) - (3 + (892 - 822 + (-6)))", "solution_steps": ["Subtract: 7 - (-40) = 47", "Subtract: 892 - 822 = 70", "Add: 70 + (-6) = 64", "Add: 3 + 64 = 67", "Subtract: 47 - 67 = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "expression", "math_text": "7 - (-40) - (3 + (892 - 822 + (-6)))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (+ n (+ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -40, \"c\": 3, \"d\": 892, \"e\": 822, \"f\": -6}", "seed": "13833630780388210714", "semantic_fingerprint": "sha256:6de5c00778b314c205018453463fd55c5c98cfd74b8c04447661c8bf18e753bb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002035", "prompt": "Evaluate: -27 / (-19) / (-5 * (-67)) - (-5)", "solution_steps": ["Divide: -27 / (-19) = 27/19", "Multiply: -5 * (-67) = 335", "Divide: (27/19) / 335 = 27/6365", "Subtract: 27/6365 - (-5) = 31852/6365"], "final_answer": "31852/6365", "answer_type": "rational", "kind": "expression", "math_text": "-27 / (-19) / (-5 * (-67)) - (-5)", "variable": null, "family": "expression_4op", "shape": "(- (/ (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": -19, \"c\": -5, \"d\": -67, \"e\": -5}", "seed": "10720216436567585652", "semantic_fingerprint": "sha256:521da237213afa81241b3af959edcd86db597fc12b340e9c7147eba3dec3361f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002036", "prompt": "What is -96 - (-987 + 9) + 2?", "solution_steps": ["Add: -987 + 9 = -978", "Subtract: -96 - (-978) = 882", "Add: 882 + 2 = 884"], "final_answer": "884", "answer_type": "integer", "kind": "expression", "math_text": "-96 - (-987 + 9) + 2", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": -987, \"c\": 9, \"d\": 2}", "seed": "11323636431219026700", "semantic_fingerprint": "sha256:a0a154c6a9c524a0b7106752798e58e62ab73f3677b313022e8076c7ce2d754f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002037", "prompt": "Calculate: -29 * (11 - (0 - 4 / 615))", "solution_steps": ["Divide: 4 / 615 = 4/615", "Subtract: 0 - 4/615 = -4/615", "Subtract: 11 - (-4/615) = 6769/615", "Multiply: -29 * (6769/615) = -196301/615"], "final_answer": "-196301/615", "answer_type": "rational", "kind": "expression", "math_text": "-29 * (11 - (0 - 4 / 615))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (- n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": 11, \"c\": 0, \"d\": 4, \"e\": 615}", "seed": "8811373561957162266", "semantic_fingerprint": "sha256:09018fdaa29a5addbaa6ecfdcad2c47101022b2212931eb4105ab42c468bcce6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002038", "prompt": "Solve for x: x - 3 = 8(x - 11) + 85", "solution_steps": ["Expand: x - 3 = 8x - 88 + 85", "Combine constants: x - 3 = 8x - 3", "Subtract 8x from both sides: -7x - 3 = -3", "Add 3 to both sides: -7x = 0", "Divide both sides by -7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3 = 8(x - 11) + 85", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 11, \"e\": 85, \"x\": 0}", "seed": "8388566117386783449", "semantic_fingerprint": "sha256:afc18e1706d89bf8c38f2749ac2b946406f8394d097907c9d1317973e26ef6dd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002039", "prompt": "What is 13 / (-66 / (-50) * (-31 / 6) - (-3))?", "solution_steps": ["Divide: -66 / (-50) = 33/25", "Divide: -31 / 6 = -31/6", "Multiply: (33/25) * (-31/6) = -341/50", "Subtract: -341/50 - (-3) = -191/50", "Divide: 13 / (-191/50) = -650/191"], "final_answer": "-650/191", "answer_type": "rational", "kind": "expression", "math_text": "13 / (-66 / (-50) * (-31 / 6) - (-3))", "variable": null, "family": "expression_5op", "shape": "(/ n (- (* (/ n n) (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -66, \"c\": -50, \"d\": -31, \"e\": 6, \"f\": -3}", "seed": "5782840624637041748", "semantic_fingerprint": "sha256:9712af638df541f43d89736e06a7ebc1370c613861a45937453df0523fc0ee82", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002040", "prompt": "Compute: -22 - 14 - (9 / 9 + 63)", "solution_steps": ["Subtract: -22 - 14 = -36", "Divide: 9 / 9 = 1", "Add: 1 + 63 = 64", "Subtract: -36 - 64 = -100"], "final_answer": "-100", "answer_type": "integer", "kind": "expression", "math_text": "-22 - 14 - (9 / 9 + 63)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": 14, \"c\": 9, \"d\": 9, \"e\": 63}", "seed": "3635413987699425762", "semantic_fingerprint": "sha256:3dafacf1ff4f4d53c85a326a0f1f18d704ada046b32803001f7442fd37451bcf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002041", "prompt": "What is -6 * (-33 * (-7 * 9)) + 87?", "solution_steps": ["Multiply: -7 * 9 = -63", "Multiply: -33 * (-63) = 2079", "Multiply: -6 * 2079 = -12474", "Add: -12474 + 87 = -12387"], "final_answer": "-12387", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-33 * (-7 * 9)) + 87", "variable": null, "family": "expression_4op", "shape": "(+ (* n (* n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -33, \"c\": -7, \"d\": 9, \"e\": 87}", "seed": "17965392911972623173", "semantic_fingerprint": "sha256:b4a851ff736e06d429f61148e8aa3c10c1e28dec641f75c8e3dc26a2a86bcdd2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002042", "prompt": "Evaluate: 6 * 94 / (-66 + (-83))", "solution_steps": ["Multiply: 6 * 94 = 564", "Add: -66 + (-83) = -149", "Divide: 564 / (-149) = -564/149"], "final_answer": "-564/149", "answer_type": "rational", "kind": "expression", "math_text": "6 * 94 / (-66 + (-83))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 94, \"c\": -66, \"d\": -83}", "seed": "13158269951172183160", "semantic_fingerprint": "sha256:1d9642f9354534f03a5c8e01bbe9b87bf7af0d1656f2cf411f8d70df8ed9e16f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002043", "prompt": "Calculate: 0 * (-971 / 57) + (82 - (-57))", "solution_steps": ["Divide: -971 / 57 = -971/57", "Multiply: 0 * (-971/57) = 0", "Subtract: 82 - (-57) = 139", "Add: 0 + 139 = 139"], "final_answer": "139", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-971 / 57) + (82 - (-57))", "variable": null, "family": "expression_4op", "shape": "(+ (* n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -971, \"c\": 57, \"d\": 82, \"e\": -57}", "seed": "17293186763602412322", "semantic_fingerprint": "sha256:ad97a9f0b6c9dcbe92a278649d9da7f5eecb06593497e34e1f1d33c5fe7e2d74", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002044", "prompt": "Calculate: (60 - (-8) + (-898)) * 540", "solution_steps": ["Subtract: 60 - (-8) = 68", "Add: 68 + (-898) = -830", "Multiply: -830 * 540 = -448200"], "final_answer": "-448200", "answer_type": "integer", "kind": "expression", "math_text": "(60 - (-8) + (-898)) * 540", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": -8, \"c\": -898, \"d\": 540}", "seed": "573360990597390958", "semantic_fingerprint": "sha256:d47f91106990b59f75586e53cfdf3d2123cf85a165f15dbf77dfa148e2195566", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002045", "prompt": "What is 505 + 89 - (-32) + 0?", "solution_steps": ["Add: 505 + 89 = 594", "Subtract: 594 - (-32) = 626", "Add: 626 + 0 = 626"], "final_answer": "626", "answer_type": "integer", "kind": "expression", "math_text": "505 + 89 - (-32) + 0", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 505, \"b\": 89, \"c\": -32, \"d\": 0}", "seed": "9222849977661676702", "semantic_fingerprint": "sha256:85b32fe8a4797572a64a6392715875424befab557e0c6b3c2beed67e7079d622", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002046", "prompt": "What value of x satisfies 11(x - 234) + 350 = 4(x + 28) - 1?", "solution_steps": ["Expand: 11x - 2574 + 350 = 4(x + 28) - 1", "Expand: 11x - 2574 + 350 = 4x + 112 - 1", "Combine constants: 11x - 2224 = 4x + 112 - 1", "Combine constants: 11x - 2224 = 4x + 111", "Subtract 4x from both sides: 7x - 2224 = 111", "Add 2224 to both sides: 7x = 2335", "Divide both sides by 7: x = 2335/7"], "final_answer": "2335/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 234) + 350 = 4(x + 28) - 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 234, \"c\": 350, \"d\": 4, \"e\": 28, \"f\": 1}", "seed": "870824874100779589", "semantic_fingerprint": "sha256:06a907b356e9fb1342f46a700efcc69ff65a0c8962dd87c8c76b17ccc7447378", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002047", "prompt": "Evaluate: 323 + (173 + 663) - (-941)", "solution_steps": ["Add: 173 + 663 = 836", "Add: 323 + 836 = 1159", "Subtract: 1159 - (-941) = 2100"], "final_answer": "2100", "answer_type": "integer", "kind": "expression", "math_text": "323 + (173 + 663) - (-941)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 323, \"b\": 173, \"c\": 663, \"d\": -941}", "seed": "4330825026727052413", "semantic_fingerprint": "sha256:ddbc47b563eacff7e9a2006b3519637695429cea9a1e77ad97e726650bd57dc4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002048", "prompt": "Evaluate: -61 * (53 / (6 + 1) / (-9))", "solution_steps": ["Add: 6 + 1 = 7", "Divide: 53 / 7 = 53/7", "Divide: (53/7) / (-9) = -53/63", "Multiply: -61 * (-53/63) = 3233/63"], "final_answer": "3233/63", "answer_type": "rational", "kind": "expression", "math_text": "-61 * (53 / (6 + 1) / (-9))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (/ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": 53, \"c\": 6, \"d\": 1, \"e\": -9}", "seed": "1463002082292232997", "semantic_fingerprint": "sha256:7d2af543b191ed54f313a97b4ba0886d4065a1c6799326a8cbf9ec15b843fb33", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002049", "prompt": "Calculate: (3 + 77) / (-34 / (-386))", "solution_steps": ["Add: 3 + 77 = 80", "Divide: -34 / (-386) = 17/193", "Divide: 80 / (17/193) = 15440/17"], "final_answer": "15440/17", "answer_type": "rational", "kind": "expression", "math_text": "(3 + 77) / (-34 / (-386))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 77, \"c\": -34, \"d\": -386}", "seed": "7327605721718602847", "semantic_fingerprint": "sha256:9c7f34f5fe4f6a3bdafad824ec8e644c0f3ac503112e0e465266f999c086a96d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002050", "prompt": "Evaluate: -4 - 309 + (35 / (-6) - (-361))", "solution_steps": ["Subtract: -4 - 309 = -313", "Divide: 35 / (-6) = -35/6", "Subtract: -35/6 - (-361) = 2131/6", "Add: -313 + 2131/6 = 253/6"], "final_answer": "253/6", "answer_type": "rational", "kind": "expression", "math_text": "-4 - 309 + (35 / (-6) - (-361))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 309, \"c\": 35, \"d\": -6, \"e\": -361}", "seed": "6627076276288221807", "semantic_fingerprint": "sha256:0f053953c2517c9a7db56ae27abf7b92c760f51e7f8a67fbcb032ddb085b3a19", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002051", "prompt": "Solve for x: 9(x - 93) + 9 = 2(x - 52)", "solution_steps": ["Expand: 9x - 837 + 9 = 2(x - 52)", "Expand: 9x - 837 + 9 = 2x - 104", "Combine constants: 9x - 828 = 2x - 104", "Subtract 2x from both sides: 7x - 828 = -104", "Add 828 to both sides: 7x = 724", "Divide both sides by 7: x = 724/7"], "final_answer": "724/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 93) + 9 = 2(x - 52)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 93, \"c\": 9, \"d\": 2, \"e\": 52}", "seed": "8448581830053065989", "semantic_fingerprint": "sha256:335466029c9add25fc5a8c1fa0300b1889788ddc361f4e24b86ca9b56155f4b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002052", "prompt": "Evaluate: 52 + 344 / (-69 - (-1))", "solution_steps": ["Subtract: -69 - (-1) = -68", "Divide: 344 / (-68) = -86/17", "Add: 52 + (-86/17) = 798/17"], "final_answer": "798/17", "answer_type": "rational", "kind": "expression", "math_text": "52 + 344 / (-69 - (-1))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": 344, \"c\": -69, \"d\": -1}", "seed": "17346974651980939071", "semantic_fingerprint": "sha256:d5d8be73e56e9e1c6a62444498ae50211aefa3af8f930bb3e8dc71f9f68336fd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002053", "prompt": "What is 6 / (-9 / (7 * (-929) + (-87))) / 275?", "solution_steps": ["Multiply: 7 * (-929) = -6503", "Add: -6503 + (-87) = -6590", "Divide: -9 / (-6590) = 9/6590", "Divide: 6 / (9/6590) = 13180/3", "Divide: (13180/3) / 275 = 2636/165"], "final_answer": "2636/165", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-9 / (7 * (-929) + (-87))) / 275", "variable": null, "family": "expression_5op", "shape": "(/ (/ n (/ n (+ (* n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -9, \"c\": 7, \"d\": -929, \"e\": -87, \"f\": 275}", "seed": "11277280010742524500", "semantic_fingerprint": "sha256:560ffe63d22b955bd8e8a48aee0e7e4df403ec64f00aec12d2948a0158b9c28b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002054", "prompt": "What is 0 * (-73 / 8) + (-58 + 9 + 28)?", "solution_steps": ["Divide: -73 / 8 = -73/8", "Multiply: 0 * (-73/8) = 0", "Add: -58 + 9 = -49", "Add: -49 + 28 = -21", "Add: 0 + (-21) = -21"], "final_answer": "-21", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-73 / 8) + (-58 + 9 + 28)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (/ n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -73, \"c\": 8, \"d\": -58, \"e\": 9, \"f\": 28}", "seed": "8038197841766872590", "semantic_fingerprint": "sha256:7ed7a87e2380097718011d2c752ebe8ae1d64b97a842c58f14717991c1b0837b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002055", "prompt": "Compute: -51 / (-3) * (-53) + (0 + 40)", "solution_steps": ["Divide: -51 / (-3) = 17", "Multiply: 17 * (-53) = -901", "Add: 0 + 40 = 40", "Add: -901 + 40 = -861"], "final_answer": "-861", "answer_type": "integer", "kind": "expression", "math_text": "-51 / (-3) * (-53) + (0 + 40)", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -3, \"c\": -53, \"d\": 0, \"e\": 40}", "seed": "15186246237309657475", "semantic_fingerprint": "sha256:ee7d29f9d5ef3d044fe87a1fe45e53727f0ed91439edc904efee178e4c2424b2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002056", "prompt": "Calculate: 57 * 9 + (-786 * 68 + 920)", "solution_steps": ["Multiply: 57 * 9 = 513", "Multiply: -786 * 68 = -53448", "Add: -53448 + 920 = -52528", "Add: 513 + (-52528) = -52015"], "final_answer": "-52015", "answer_type": "integer", "kind": "expression", "math_text": "57 * 9 + (-786 * 68 + 920)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": 9, \"c\": -786, \"d\": 68, \"e\": 920}", "seed": "6793499478196439624", "semantic_fingerprint": "sha256:165d2d53d43b6d8e461f04061f938170064f00a485bb5c3dad6c5e6d5ef7e654", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002057", "prompt": "Calculate: (2 - 467) / (-433 / (-4) + (61 + (-407)))", "solution_steps": ["Subtract: 2 - 467 = -465", "Divide: -433 / (-4) = 433/4", "Add: 61 + (-407) = -346", "Add: 433/4 + (-346) = -951/4", "Divide: -465 / (-951/4) = 620/317"], "final_answer": "620/317", "answer_type": "rational", "kind": "expression", "math_text": "(2 - 467) / (-433 / (-4) + (61 + (-407)))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (+ (/ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 467, \"c\": -433, \"d\": -4, \"e\": 61, \"f\": -407}", "seed": "7699523730802281192", "semantic_fingerprint": "sha256:ce431484e3a7eef0566758416f3f2752991186b91f00155518ee5297f1a986b2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002058", "prompt": "Calculate: -163 * (-85 / 3) + (-5 - (-46))", "solution_steps": ["Divide: -85 / 3 = -85/3", "Multiply: -163 * (-85/3) = 13855/3", "Subtract: -5 - (-46) = 41", "Add: 13855/3 + 41 = 13978/3"], "final_answer": "13978/3", "answer_type": "rational", "kind": "expression", "math_text": "-163 * (-85 / 3) + (-5 - (-46))", "variable": null, "family": "expression_4op", "shape": "(+ (* n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -163, \"b\": -85, \"c\": 3, \"d\": -5, \"e\": -46}", "seed": "629035894778892838", "semantic_fingerprint": "sha256:c5882a93fb7ad77fb4496e7094fe1f0d0c4cfe5feee8f19b782e486f3bbe7607", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002059", "prompt": "Compute: (61 + (-7)) * 60 / (-3 / (645 / (-424)))", "solution_steps": ["Add: 61 + (-7) = 54", "Multiply: 54 * 60 = 3240", "Divide: 645 / (-424) = -645/424", "Divide: -3 / (-645/424) = 424/215", "Divide: 3240 / (424/215) = 87075/53"], "final_answer": "87075/53", "answer_type": "rational", "kind": "expression", "math_text": "(61 + (-7)) * 60 / (-3 / (645 / (-424)))", "variable": null, "family": "expression_5op", "shape": "(/ (* (+ n n) n) (/ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": -7, \"c\": 60, \"d\": -3, \"e\": 645, \"f\": -424}", "seed": "4191790471713753838", "semantic_fingerprint": "sha256:f69404e795db9d9a3e8f8c5726f7fb652b0c0570afb835c4f42dc2c3b9218ac2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002060", "prompt": "Solve for x: 11(x - 953) - 513 = 10(x - 30) - 583", "solution_steps": ["Expand: 11x - 10483 - 513 = 10(x - 30) - 583", "Expand: 11x - 10483 - 513 = 10x - 300 - 583", "Combine constants: 11x - 10996 = 10x - 300 - 583", "Combine constants: 11x - 10996 = 10x - 883", "Subtract 10x from both sides: x - 10996 = -883", "Add 10996 to both sides: x = 10113"], "final_answer": "10113", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 953) - 513 = 10(x - 30) - 583", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 953, \"c\": 513, \"d\": 10, \"e\": 30, \"f\": 583}", "seed": "14633983425262572655", "semantic_fingerprint": "sha256:c1698393bdbeb5b7306560d2e9d86809aa6dae8000df8484c2dfbef9b6bca7f6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002061", "prompt": "Compute: 67 - 83 * (31 / (-2 + 4))", "solution_steps": ["Add: -2 + 4 = 2", "Divide: 31 / 2 = 31/2", "Multiply: 83 * (31/2) = 2573/2", "Subtract: 67 - 2573/2 = -2439/2"], "final_answer": "-2439/2", "answer_type": "rational", "kind": "expression", "math_text": "67 - 83 * (31 / (-2 + 4))", "variable": null, "family": "expression_4op", "shape": "(- n (* n (/ n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 83, \"c\": 31, \"d\": -2, \"e\": 4}", "seed": "9436557284941818963", "semantic_fingerprint": "sha256:09e01a7448f78e6aec9da0ad772459fe74c8681238cf67c0e0dea6bd0e9a0235", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002062", "prompt": "Calculate: (-395 - 59) * (0 / 36)", "solution_steps": ["Subtract: -395 - 59 = -454", "Divide: 0 / 36 = 0", "Multiply: -454 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-395 - 59) * (0 / 36)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -395, \"b\": 59, \"c\": 0, \"d\": 36}", "seed": "10252543322058785839", "semantic_fingerprint": "sha256:e852998a3aa06ee3f205c1ae2a6e17068a89b9d444ce396f5d0d42b1fcad7a93", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002063", "prompt": "Find x: 7(x + 18) - 859 = x - 703", "solution_steps": ["Expand: 7x + 126 - 859 = x - 703", "Combine constants: 7x - 733 = x - 703", "Subtract x from both sides: 6x - 733 = -703", "Add 733 to both sides: 6x = 30", "Divide both sides by 6: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 18) - 859 = x - 703", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 18, \"c\": 859, \"e\": -703, \"x\": 5}", "seed": "17508746634012984411", "semantic_fingerprint": "sha256:0e6848a480751eb6e49c98707652b55aaaafa9b32c5679dde07ccc6df46a6590", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002064", "prompt": "What value of x satisfies -11(x - 13) + 81 = 12x + 63?", "solution_steps": ["Expand: -11x + 143 + 81 = 12x + 63", "Combine constants: -11x + 224 = 12x + 63", "Subtract 12x from both sides: -23x + 224 = 63", "Subtract 224 from both sides: -23x = -161", "Divide both sides by -23: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 13) + 81 = 12x + 63", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 13, \"c\": 81, \"d\": 12, \"f\": 63, \"x\": 7}", "seed": "11071488230123888606", "semantic_fingerprint": "sha256:e43e58f5d546f7d5a1bda9a2d5a0f8aecffc876202b9458131f35df5738013fc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002065", "prompt": "What is -64 + (-8) - (487 + 51)?", "solution_steps": ["Add: -64 + (-8) = -72", "Add: 487 + 51 = 538", "Subtract: -72 - 538 = -610"], "final_answer": "-610", "answer_type": "integer", "kind": "expression", "math_text": "-64 + (-8) - (487 + 51)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": -8, \"c\": 487, \"d\": 51}", "seed": "16149965237530065588", "semantic_fingerprint": "sha256:0541a3f7030a638a4834d003e6761c13989aa26492eeb33dbc36007b4f943cc7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002066", "prompt": "Compute: 77 - (54 - (-6 + (-1) - 26)) + (-9)", "solution_steps": ["Add: -6 + (-1) = -7", "Subtract: -7 - 26 = -33", "Subtract: 54 - (-33) = 87", "Subtract: 77 - 87 = -10", "Add: -10 + (-9) = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "expression", "math_text": "77 - (54 - (-6 + (-1) - 26)) + (-9)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- n (- (+ n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 54, \"c\": -6, \"d\": -1, \"e\": 26, \"f\": -9}", "seed": "5572343612262997972", "semantic_fingerprint": "sha256:34b39c5d178ac1698ccad4583dd7013be8ee7b43c73255e5f0f6a3f92c7d34ec", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002067", "prompt": "Solve for x: -3(x + 25) + 2 = 2(x + 6) - 2", "solution_steps": ["Expand: -3x - 75 + 2 = 2(x + 6) - 2", "Expand: -3x - 75 + 2 = 2x + 12 - 2", "Combine constants: -3x - 73 = 2x + 12 - 2", "Combine constants: -3x - 73 = 2x + 10", "Subtract 2x from both sides: -5x - 73 = 10", "Add 73 to both sides: -5x = 83", "Divide both sides by -5: x = -83/5"], "final_answer": "-83/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x + 25) + 2 = 2(x + 6) - 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 25, \"c\": 2, \"d\": 2, \"e\": 6, \"f\": 2}", "seed": "7739135545334540475", "semantic_fingerprint": "sha256:ccd06e30a6d7740069a32a37346aa481704c3dd466050366955970a7a46dfc8d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002068", "prompt": "Find x: 4(x - 663) - 75 = 2(x - 743)", "solution_steps": ["Expand: 4x - 2652 - 75 = 2(x - 743)", "Expand: 4x - 2652 - 75 = 2x - 1486", "Combine constants: 4x - 2727 = 2x - 1486", "Subtract 2x from both sides: 2x - 2727 = -1486", "Add 2727 to both sides: 2x = 1241", "Divide both sides by 2: x = 1241/2"], "final_answer": "1241/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 663) - 75 = 2(x - 743)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 663, \"c\": 75, \"d\": 2, \"e\": 743}", "seed": "15920315272747396086", "semantic_fingerprint": "sha256:2230b4d085623f8c009f05436c64a0a8a132e50f8d308604dcdebd47c3bab52c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002069", "prompt": "Compute: 72 * (39 * (-83)) - 55", "solution_steps": ["Multiply: 39 * (-83) = -3237", "Multiply: 72 * (-3237) = -233064", "Subtract: -233064 - 55 = -233119"], "final_answer": "-233119", "answer_type": "integer", "kind": "expression", "math_text": "72 * (39 * (-83)) - 55", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": 39, \"c\": -83, \"d\": 55}", "seed": "4380982136642911691", "semantic_fingerprint": "sha256:37d79a22d9733747bdaae8769f182cdb65979371382b89b040216334a1a8e0fe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002070", "prompt": "Calculate: -95 * (-2 * 667) - (-81)", "solution_steps": ["Multiply: -2 * 667 = -1334", "Multiply: -95 * (-1334) = 126730", "Subtract: 126730 - (-81) = 126811"], "final_answer": "126811", "answer_type": "integer", "kind": "expression", "math_text": "-95 * (-2 * 667) - (-81)", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": -2, \"c\": 667, \"d\": -81}", "seed": "9550152298970967214", "semantic_fingerprint": "sha256:c522724f452c02920a6f2dff7a9ae53bd06492674cd9b79a862df9477714ca9f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002071", "prompt": "What is 91 * (3 - (-29) + (-10) * (-7))?", "solution_steps": ["Subtract: 3 - (-29) = 32", "Multiply: -10 * (-7) = 70", "Add: 32 + 70 = 102", "Multiply: 91 * 102 = 9282"], "final_answer": "9282", "answer_type": "integer", "kind": "expression", "math_text": "91 * (3 - (-29) + (-10) * (-7))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (- n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": 3, \"c\": -29, \"d\": -10, \"e\": -7}", "seed": "15965956924770562957", "semantic_fingerprint": "sha256:88828339766861306256f8f702ff65da81f16f4026118a9481256eda806d0fd8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002072", "prompt": "What is -47 - (-417) * (-6) - (-3)?", "solution_steps": ["Multiply: -417 * (-6) = 2502", "Subtract: -47 - 2502 = -2549", "Subtract: -2549 - (-3) = -2546"], "final_answer": "-2546", "answer_type": "integer", "kind": "expression", "math_text": "-47 - (-417) * (-6) - (-3)", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": -417, \"c\": -6, \"d\": -3}", "seed": "2562151641691352039", "semantic_fingerprint": "sha256:e03d55c0b2b2f0e07c7df57dd00f783af1cd965075bf4f3f8a1212c5cc1bda25", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002073", "prompt": "Find x: 3(x + 8) - 1 = x - 15", "solution_steps": ["Expand: 3x + 24 - 1 = x - 15", "Combine constants: 3x + 23 = x - 15", "Subtract x from both sides: 2x + 23 = -15", "Subtract 23 from both sides: 2x = -38", "Divide both sides by 2: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 8) - 1 = x - 15", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 1, \"e\": -15, \"x\": -19}", "seed": "11595392644500369130", "semantic_fingerprint": "sha256:4df583f1177aadc742a3474d5835e7cccb4d4b83ffd03546ff627576e07b6d1a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002074", "prompt": "Evaluate: 34 * (-3 * (59 - (-6)))", "solution_steps": ["Subtract: 59 - (-6) = 65", "Multiply: -3 * 65 = -195", "Multiply: 34 * (-195) = -6630"], "final_answer": "-6630", "answer_type": "integer", "kind": "expression", "math_text": "34 * (-3 * (59 - (-6)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": -3, \"c\": 59, \"d\": -6}", "seed": "13898666202143610322", "semantic_fingerprint": "sha256:697389749f58f52ef788e48303e762e6da7c4ce4b3116a26dfeb10b4c6fb7efc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002075", "prompt": "Solve the equation 8(x - 60) - 162 = -11(x - 2) for x.", "solution_steps": ["Expand: 8x - 480 - 162 = -11(x - 2)", "Expand: 8x - 480 - 162 = -11x + 22", "Combine constants: 8x - 642 = -11x + 22", "Add 11x to both sides: 19x - 642 = 22", "Add 642 to both sides: 19x = 664", "Divide both sides by 19: x = 664/19"], "final_answer": "664/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 60) - 162 = -11(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 60, \"c\": 162, \"d\": -11, \"e\": 2}", "seed": "5618826512309965126", "semantic_fingerprint": "sha256:bec84e24469edd9ffd343997552af74f090c139ca35f7ec619d2b9de210d8438", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002076", "prompt": "Calculate: (9 / (-23) - (-6 * 4 - 6)) * 8", "solution_steps": ["Divide: 9 / (-23) = -9/23", "Multiply: -6 * 4 = -24", "Subtract: -24 - 6 = -30", "Subtract: -9/23 - (-30) = 681/23", "Multiply: (681/23) * 8 = 5448/23"], "final_answer": "5448/23", "answer_type": "rational", "kind": "expression", "math_text": "(9 / (-23) - (-6 * 4 - 6)) * 8", "variable": null, "family": "expression_5op", "shape": "(* (- (/ n n) (- (* n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -23, \"c\": -6, \"d\": 4, \"e\": 6, \"f\": 8}", "seed": "4903137552618867653", "semantic_fingerprint": "sha256:60c731c01db8b811155da08a6b76321d28cdd25ba194315650a4e8c10313f835", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002077", "prompt": "What is 31 * (-5) + (-3 * (-60) + (-93))?", "solution_steps": ["Multiply: 31 * (-5) = -155", "Multiply: -3 * (-60) = 180", "Add: 180 + (-93) = 87", "Add: -155 + 87 = -68"], "final_answer": "-68", "answer_type": "integer", "kind": "expression", "math_text": "31 * (-5) + (-3 * (-60) + (-93))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": -5, \"c\": -3, \"d\": -60, \"e\": -93}", "seed": "7088733966726251377", "semantic_fingerprint": "sha256:5564c0f64150a151f7fc542c85de113bf28951e9cae48180ad69601885b7df57", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002078", "prompt": "Solve the equation 11(x - 1) + 6 = 6(x + 63) - 343 for x.", "solution_steps": ["Expand: 11x - 11 + 6 = 6(x + 63) - 343", "Expand: 11x - 11 + 6 = 6x + 378 - 343", "Combine constants: 11x - 5 = 6x + 378 - 343", "Combine constants: 11x - 5 = 6x + 35", "Subtract 6x from both sides: 5x - 5 = 35", "Add 5 to both sides: 5x = 40", "Divide both sides by 5: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 1) + 6 = 6(x + 63) - 343", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 1, \"c\": 6, \"d\": 6, \"e\": 63, \"g\": -343, \"x\": 8}", "seed": "8004335168789217579", "semantic_fingerprint": "sha256:d1825e1222e6ebe35d3d90f0f9878caa4bf1e8220cbbe0d07e9857dcd5ec847b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002079", "prompt": "What value of x satisfies 3(x - 7) + 8 = 7x + 19?", "solution_steps": ["Expand: 3x - 21 + 8 = 7x + 19", "Combine constants: 3x - 13 = 7x + 19", "Subtract 7x from both sides: -4x - 13 = 19", "Add 13 to both sides: -4x = 32", "Divide both sides by -4: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 7) + 8 = 7x + 19", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 8, \"d\": 7, \"f\": 19, \"x\": -8}", "seed": "1220488379175925493", "semantic_fingerprint": "sha256:2938a1139219066335182640e1284ede505c8feb64f14078de59a737a58d5efb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002080", "prompt": "What is -37 + (-412) / 15 / 36?", "solution_steps": ["Divide: -412 / 15 = -412/15", "Divide: (-412/15) / 36 = -103/135", "Add: -37 + (-103/135) = -5098/135"], "final_answer": "-5098/135", "answer_type": "rational", "kind": "expression", "math_text": "-37 + (-412) / 15 / 36", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -412, \"c\": 15, \"d\": 36}", "seed": "5466953986544963608", "semantic_fingerprint": "sha256:f6de51acd910734398d32d2551116e1a975cb7a0ae30904213216516fd552d13", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002081", "prompt": "Solve for x: 5(x - 25) - 879 = 4(x - 67) - 391", "solution_steps": ["Expand: 5x - 125 - 879 = 4(x - 67) - 391", "Expand: 5x - 125 - 879 = 4x - 268 - 391", "Combine constants: 5x - 1004 = 4x - 268 - 391", "Combine constants: 5x - 1004 = 4x - 659", "Subtract 4x from both sides: x - 1004 = -659", "Add 1004 to both sides: x = 345"], "final_answer": "345", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 25) - 879 = 4(x - 67) - 391", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 25, \"c\": 879, \"d\": 4, \"e\": 67, \"f\": 391}", "seed": "11227638891821073534", "semantic_fingerprint": "sha256:98de8a4eaaf5f9c70b724e13830ff08bdb3c8651163e452ce3127788cfa48c42", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002082", "prompt": "Find x: x - 9 = 2(x - 4) + 13", "solution_steps": ["Expand: x - 9 = 2x - 8 + 13", "Combine constants: x - 9 = 2x + 5", "Subtract 2x from both sides: -x - 9 = 5", "Add 9 to both sides: -x = 14", "Divide both sides by -1: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9 = 2(x - 4) + 13", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 4, \"e\": 13, \"x\": -14}", "seed": "17543748335991530396", "semantic_fingerprint": "sha256:dfea643a2096b85b0f8c804451da4707a17c7e1907747ba586c63bd12550029e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002083", "prompt": "What is (-4 - (-83)) / (-788 + (-19) * (-7))?", "solution_steps": ["Subtract: -4 - (-83) = 79", "Multiply: -19 * (-7) = 133", "Add: -788 + 133 = -655", "Divide: 79 / (-655) = -79/655"], "final_answer": "-79/655", "answer_type": "rational", "kind": "expression", "math_text": "(-4 - (-83)) / (-788 + (-19) * (-7))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -83, \"c\": -788, \"d\": -19, \"e\": -7}", "seed": "12616434114347906266", "semantic_fingerprint": "sha256:9e8adaaec4ba53f2b7cf66817ecf0fb62e7ef263ce2d800c477e5457c7aa4c35", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002084", "prompt": "What is 838 * (-7 / 885 / (-9))?", "solution_steps": ["Divide: -7 / 885 = -7/885", "Divide: (-7/885) / (-9) = 7/7965", "Multiply: 838 * (7/7965) = 5866/7965"], "final_answer": "5866/7965", "answer_type": "rational", "kind": "expression", "math_text": "838 * (-7 / 885 / (-9))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 838, \"b\": -7, \"c\": 885, \"d\": -9}", "seed": "91592224570753323", "semantic_fingerprint": "sha256:672a66ed6a71edb1cf32ad351386a6919219653bd5db176961d7dab5717d0ed7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002085", "prompt": "Evaluate: -61 * (-642) / (884 + 521)", "solution_steps": ["Multiply: -61 * (-642) = 39162", "Add: 884 + 521 = 1405", "Divide: 39162 / 1405 = 39162/1405"], "final_answer": "39162/1405", "answer_type": "rational", "kind": "expression", "math_text": "-61 * (-642) / (884 + 521)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": -642, \"c\": 884, \"d\": 521}", "seed": "9808733169572325597", "semantic_fingerprint": "sha256:3a6a4511341e8d657dda942da84d1cbc565c401549ce8e5fa98f3ea1d8274a86", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002086", "prompt": "Compute: -32 / (-24 - 785 - (-18))", "solution_steps": ["Subtract: -24 - 785 = -809", "Subtract: -809 - (-18) = -791", "Divide: -32 / (-791) = 32/791"], "final_answer": "32/791", "answer_type": "rational", "kind": "expression", "math_text": "-32 / (-24 - 785 - (-18))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": -24, \"c\": 785, \"d\": -18}", "seed": "10124991497925687642", "semantic_fingerprint": "sha256:a4d5bcc73344f84a3f82fdf649577058dd95835b5e19baf2194a7edd6ecd339f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002087", "prompt": "Calculate: (50 - (-1)) / (-5 * 33)", "solution_steps": ["Subtract: 50 - (-1) = 51", "Multiply: -5 * 33 = -165", "Divide: 51 / (-165) = -17/55"], "final_answer": "-17/55", "answer_type": "rational", "kind": "expression", "math_text": "(50 - (-1)) / (-5 * 33)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -1, \"c\": -5, \"d\": 33}", "seed": "15068333596204842228", "semantic_fingerprint": "sha256:49012104ddfd2dd860ceeeab78306ae83655c9d4c9e978bbed45c0f057a9d68c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002088", "prompt": "Find x: 5(x - 22) = 3x - 120", "solution_steps": ["Expand: 5x - 110 = 3x - 120", "Subtract 3x from both sides: 2x - 110 = -120", "Add 110 to both sides: 2x = -10", "Divide both sides by 2: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 22) = 3x - 120", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 22, \"c\": 3, \"e\": -120, \"x\": -5}", "seed": "393941206049588021", "semantic_fingerprint": "sha256:5ee17fcd079fbe7a8b5e378a40a2b8b82a80b961c64b68b689fb898deae850a2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002089", "prompt": "Find x: -12(x - 51) + 8 = 3(x + 3) - 798", "solution_steps": ["Expand: -12x + 612 + 8 = 3(x + 3) - 798", "Expand: -12x + 612 + 8 = 3x + 9 - 798", "Combine constants: -12x + 620 = 3x + 9 - 798", "Combine constants: -12x + 620 = 3x - 789", "Subtract 3x from both sides: -15x + 620 = -789", "Subtract 620 from both sides: -15x = -1409", "Divide both sides by -15: x = 1409/15"], "final_answer": "1409/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 51) + 8 = 3(x + 3) - 798", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 51, \"c\": 8, \"d\": 3, \"e\": 3, \"f\": 798}", "seed": "9627215721365320777", "semantic_fingerprint": "sha256:60816d4933417c3363ae8023712ef8905eac81fdc640e5c7e2a732819d0f4439", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002090", "prompt": "Compute: (300 + (-552)) / (-40 / (-539))", "solution_steps": ["Add: 300 + (-552) = -252", "Divide: -40 / (-539) = 40/539", "Divide: -252 / (40/539) = -33957/10"], "final_answer": "-33957/10", "answer_type": "rational", "kind": "expression", "math_text": "(300 + (-552)) / (-40 / (-539))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 300, \"b\": -552, \"c\": -40, \"d\": -539}", "seed": "1534073762665122790", "semantic_fingerprint": "sha256:9e7ee432bd08bd24753c33440193d6d7abfb19ed4a06f3b90d56d00cc8d28064", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002091", "prompt": "Calculate: -11 * (-66 - 0) / (-54 * 8) * (-40)", "solution_steps": ["Subtract: -66 - 0 = -66", "Multiply: -11 * (-66) = 726", "Multiply: -54 * 8 = -432", "Divide: 726 / (-432) = -121/72", "Multiply: (-121/72) * (-40) = 605/9"], "final_answer": "605/9", "answer_type": "rational", "kind": "expression", "math_text": "-11 * (-66 - 0) / (-54 * 8) * (-40)", "variable": null, "family": "expression_5op", "shape": "(* (/ (* n (- n n)) (* n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -66, \"c\": 0, \"d\": -54, \"e\": 8, \"f\": -40}", "seed": "12896013839955584149", "semantic_fingerprint": "sha256:6ab933f7e05846e1459f67540716769bb42b3787821c51ecb63189da1255331d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002092", "prompt": "Compute: 63 * (-23) / (0 + 85)", "solution_steps": ["Multiply: 63 * (-23) = -1449", "Add: 0 + 85 = 85", "Divide: -1449 / 85 = -1449/85"], "final_answer": "-1449/85", "answer_type": "rational", "kind": "expression", "math_text": "63 * (-23) / (0 + 85)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -23, \"c\": 0, \"d\": 85}", "seed": "16367343666274706774", "semantic_fingerprint": "sha256:74b603df0d6d1b6253d05a44e84b98ee570ffe2dafa5c34e5535476d41d7144f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002093", "prompt": "Evaluate: -6 / (77 * 127 / 41)", "solution_steps": ["Multiply: 77 * 127 = 9779", "Divide: 9779 / 41 = 9779/41", "Divide: -6 / (9779/41) = -246/9779"], "final_answer": "-246/9779", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (77 * 127 / 41)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 77, \"c\": 127, \"d\": 41}", "seed": "16603912223875227955", "semantic_fingerprint": "sha256:12970a769e747cd3c99709d825cefd1f87e7794a673612f3856cb5d93dcb30db", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002094", "prompt": "What value of x satisfies -11(x - 7) + 221 = -4(x + 460) - 31?", "solution_steps": ["Expand: -11x + 77 + 221 = -4(x + 460) - 31", "Expand: -11x + 77 + 221 = -4x - 1840 - 31", "Combine constants: -11x + 298 = -4x - 1840 - 31", "Combine constants: -11x + 298 = -4x - 1871", "Add 4x to both sides: -7x + 298 = -1871", "Subtract 298 from both sides: -7x = -2169", "Divide both sides by -7: x = 2169/7"], "final_answer": "2169/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 7) + 221 = -4(x + 460) - 31", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 7, \"c\": 221, \"d\": -4, \"e\": 460, \"f\": 31}", "seed": "7063074036082709115", "semantic_fingerprint": "sha256:5d5e2904c33d7e482ac91f02334307a2e35bc83d8d5a2d02ab8d0a03de3cf7a6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002095", "prompt": "Compute: (-657 - (-81)) * (22 / (-23))", "solution_steps": ["Subtract: -657 - (-81) = -576", "Divide: 22 / (-23) = -22/23", "Multiply: -576 * (-22/23) = 12672/23"], "final_answer": "12672/23", "answer_type": "rational", "kind": "expression", "math_text": "(-657 - (-81)) * (22 / (-23))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -657, \"b\": -81, \"c\": 22, \"d\": -23}", "seed": "1244277229936824846", "semantic_fingerprint": "sha256:9988bfacbfa25936f05cad6a635076fb202bf414a176ce9da405fc7e94b8f00b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002096", "prompt": "Evaluate: -3 * ((-716 + 52) * 94 / (-334))", "solution_steps": ["Add: -716 + 52 = -664", "Multiply: -664 * 94 = -62416", "Divide: -62416 / (-334) = 31208/167", "Multiply: -3 * (31208/167) = -93624/167"], "final_answer": "-93624/167", "answer_type": "rational", "kind": "expression", "math_text": "-3 * ((-716 + 52) * 94 / (-334))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (* (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -716, \"c\": 52, \"d\": 94, \"e\": -334}", "seed": "15227461265961765877", "semantic_fingerprint": "sha256:74c475f85c286b4f1b4c09e3390ab656eb80b4183b22c60856e19257a3550485", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002097", "prompt": "Compute: (-655 - (-1) + (-166)) * 7", "solution_steps": ["Subtract: -655 - (-1) = -654", "Add: -654 + (-166) = -820", "Multiply: -820 * 7 = -5740"], "final_answer": "-5740", "answer_type": "integer", "kind": "expression", "math_text": "(-655 - (-1) + (-166)) * 7", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -655, \"b\": -1, \"c\": -166, \"d\": 7}", "seed": "3711839586120567677", "semantic_fingerprint": "sha256:3b34be9671f6be4396336fb34f9fabb0ef9553402aca244d2dfac4c08e83b11d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002098", "prompt": "Solve for x: 10(x - 3) - 61 = 11(x - 4) - 52", "solution_steps": ["Expand: 10x - 30 - 61 = 11(x - 4) - 52", "Expand: 10x - 30 - 61 = 11x - 44 - 52", "Combine constants: 10x - 91 = 11x - 44 - 52", "Combine constants: 10x - 91 = 11x - 96", "Subtract 11x from both sides: -x - 91 = -96", "Add 91 to both sides: -x = -5", "Divide both sides by -1: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 3) - 61 = 11(x - 4) - 52", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"c\": 61, \"d\": 11, \"e\": 4, \"g\": -52, \"x\": 5}", "seed": "3002953493355006281", "semantic_fingerprint": "sha256:930ccbf0d03a21b34a64626d246eef3e4054f44b5a73327cb0eca6d278d8184e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002099", "prompt": "Calculate: -22 * 4 + (-4) - 54 - 39", "solution_steps": ["Multiply: -22 * 4 = -88", "Add: -88 + (-4) = -92", "Subtract: -92 - 54 = -146", "Subtract: -146 - 39 = -185"], "final_answer": "-185", "answer_type": "integer", "kind": "expression", "math_text": "-22 * 4 + (-4) - 54 - 39", "variable": null, "family": "expression_4op", "shape": "(- (- (+ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": 4, \"c\": -4, \"d\": 54, \"e\": 39}", "seed": "3292691276239266805", "semantic_fingerprint": "sha256:af5fe8cb89e0a4ed529cc87c50aefb7ffa42abbf83f46b61e3108138a330f9a5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002100", "prompt": "What value of x satisfies 4(x - 4) = -9x - 4?", "solution_steps": ["Expand: 4x - 16 = -9x - 4", "Add 9x to both sides: 13x - 16 = -4", "Add 16 to both sides: 13x = 12", "Divide both sides by 13: x = 12/13"], "final_answer": "12/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 4) = -9x - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 4, \"c\": -9, \"d\": 4}", "seed": "8396716316760090133", "semantic_fingerprint": "sha256:3389864bb0a53d6aaa28d4e541a1900cf96a0a2459a49f22961beef3045f414d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002101", "prompt": "Compute: 50 / (106 * 7 / 740)", "solution_steps": ["Multiply: 106 * 7 = 742", "Divide: 742 / 740 = 371/370", "Divide: 50 / (371/370) = 18500/371"], "final_answer": "18500/371", "answer_type": "rational", "kind": "expression", "math_text": "50 / (106 * 7 / 740)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": 106, \"c\": 7, \"d\": 740}", "seed": "8059610265816932769", "semantic_fingerprint": "sha256:49b3f0165cf5574b1de8182503b20914e3b4748a3294842938732b1dcbacb08c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002102", "prompt": "What is 593 * (5 / 3 / 37)?", "solution_steps": ["Divide: 5 / 3 = 5/3", "Divide: (5/3) / 37 = 5/111", "Multiply: 593 * (5/111) = 2965/111"], "final_answer": "2965/111", "answer_type": "rational", "kind": "expression", "math_text": "593 * (5 / 3 / 37)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 593, \"b\": 5, \"c\": 3, \"d\": 37}", "seed": "8705695834892949830", "semantic_fingerprint": "sha256:a16f75d23696e3dd445233595ef3254b7a77b4cc954224db749141969e27c39b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002103", "prompt": "Compute: -165 - (-6 * (-4) + (-5))", "solution_steps": ["Multiply: -6 * (-4) = 24", "Add: 24 + (-5) = 19", "Subtract: -165 - 19 = -184"], "final_answer": "-184", "answer_type": "integer", "kind": "expression", "math_text": "-165 - (-6 * (-4) + (-5))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -165, \"b\": -6, \"c\": -4, \"d\": -5}", "seed": "15307685232915679887", "semantic_fingerprint": "sha256:a47fe0f107276a722f80ae0179ab716486406ac0db8279482e9a390a07123cf0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002104", "prompt": "Compute: (-69 + (-14)) * 3 * (734 / (-63))", "solution_steps": ["Add: -69 + (-14) = -83", "Multiply: -83 * 3 = -249", "Divide: 734 / (-63) = -734/63", "Multiply: -249 * (-734/63) = 60922/21"], "final_answer": "60922/21", "answer_type": "rational", "kind": "expression", "math_text": "(-69 + (-14)) * 3 * (734 / (-63))", "variable": null, "family": "expression_4op", "shape": "(* (* (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": -14, \"c\": 3, \"d\": 734, \"e\": -63}", "seed": "14949158705787430675", "semantic_fingerprint": "sha256:69bddad4e50fe06ddb98fe447abdac42f8c79c3d305f509fbf49b7de096b02da", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002105", "prompt": "What value of x satisfies 12(x - 40) = 3x - 390?", "solution_steps": ["Expand: 12x - 480 = 3x - 390", "Subtract 3x from both sides: 9x - 480 = -390", "Add 480 to both sides: 9x = 90", "Divide both sides by 9: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 40) = 3x - 390", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 40, \"c\": 3, \"e\": -390, \"x\": 10}", "seed": "6183639849789025934", "semantic_fingerprint": "sha256:e683dab41673f82df2c6f0580571f8eeb2e034d780f154ade1df05467d3795ad", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002106", "prompt": "Calculate: -15 * 349 / (75 + 646)", "solution_steps": ["Multiply: -15 * 349 = -5235", "Add: 75 + 646 = 721", "Divide: -5235 / 721 = -5235/721"], "final_answer": "-5235/721", "answer_type": "rational", "kind": "expression", "math_text": "-15 * 349 / (75 + 646)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": 349, \"c\": 75, \"d\": 646}", "seed": "11797006806741850977", "semantic_fingerprint": "sha256:f1c4293e47923a8e49a862e22e7187efd6bca86493832aa32dd9bc5c0e44887b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002107", "prompt": "Calculate: (-630 - 49) * (-10 - 17 / (-3)) + 3", "solution_steps": ["Subtract: -630 - 49 = -679", "Divide: 17 / (-3) = -17/3", "Subtract: -10 - (-17/3) = -13/3", "Multiply: -679 * (-13/3) = 8827/3", "Add: 8827/3 + 3 = 8836/3"], "final_answer": "8836/3", "answer_type": "rational", "kind": "expression", "math_text": "(-630 - 49) * (-10 - 17 / (-3)) + 3", "variable": null, "family": "expression_5op", "shape": "(+ (* (- n n) (- n (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -630, \"b\": 49, \"c\": -10, \"d\": 17, \"e\": -3, \"f\": 3}", "seed": "10538903230827148945", "semantic_fingerprint": "sha256:93ef2bec212bf75407001bd599625c4fc177ac6f68a92e23be0740ffb4f8df2d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002108", "prompt": "Calculate: 5 / (-46) * 0 + (-63 + 31)", "solution_steps": ["Divide: 5 / (-46) = -5/46", "Multiply: (-5/46) * 0 = 0", "Add: -63 + 31 = -32", "Add: 0 + (-32) = -32"], "final_answer": "-32", "answer_type": "integer", "kind": "expression", "math_text": "5 / (-46) * 0 + (-63 + 31)", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -46, \"c\": 0, \"d\": -63, \"e\": 31}", "seed": "486491259977538955", "semantic_fingerprint": "sha256:92d22b1b5e502cd741f2c3058013d52e6fdbf8e4b4ebe671a3d6a1e86cbebda7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002109", "prompt": "Calculate: (56 - 51) * (-35) * (-39) - 0", "solution_steps": ["Subtract: 56 - 51 = 5", "Multiply: 5 * (-35) = -175", "Multiply: -175 * (-39) = 6825", "Subtract: 6825 - 0 = 6825"], "final_answer": "6825", "answer_type": "integer", "kind": "expression", "math_text": "(56 - 51) * (-35) * (-39) - 0", "variable": null, "family": "expression_4op", "shape": "(- (* (* (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 51, \"c\": -35, \"d\": -39, \"e\": 0}", "seed": "7821809105593478760", "semantic_fingerprint": "sha256:f13562eb9cba3488fc43e8aa9c64b764de76c91eda81a0d745f585b13d37c6d7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002110", "prompt": "Calculate: 943 * 9 / (535 + (-8))", "solution_steps": ["Multiply: 943 * 9 = 8487", "Add: 535 + (-8) = 527", "Divide: 8487 / 527 = 8487/527"], "final_answer": "8487/527", "answer_type": "rational", "kind": "expression", "math_text": "943 * 9 / (535 + (-8))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 943, \"b\": 9, \"c\": 535, \"d\": -8}", "seed": "13948048419432551828", "semantic_fingerprint": "sha256:f19524dec09cf630d4e3cab00178a8a1df3723e29c297499712831d3590342a1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002111", "prompt": "Compute: -61 + 1 - (-20) * 170 / (-9)", "solution_steps": ["Add: -61 + 1 = -60", "Multiply: -20 * 170 = -3400", "Divide: -3400 / (-9) = 3400/9", "Subtract: -60 - 3400/9 = -3940/9"], "final_answer": "-3940/9", "answer_type": "rational", "kind": "expression", "math_text": "-61 + 1 - (-20) * 170 / (-9)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": 1, \"c\": -20, \"d\": 170, \"e\": -9}", "seed": "14820318550894287609", "semantic_fingerprint": "sha256:db47ae8931cc1b0861cad7bde21567bb8bea8bf8b2d56cc4961de5eeb30e9d9b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002112", "prompt": "Solve the equation 3(x - 89) + 84 = 5(x + 9) - 220 for x.", "solution_steps": ["Expand: 3x - 267 + 84 = 5(x + 9) - 220", "Expand: 3x - 267 + 84 = 5x + 45 - 220", "Combine constants: 3x - 183 = 5x + 45 - 220", "Combine constants: 3x - 183 = 5x - 175", "Subtract 5x from both sides: -2x - 183 = -175", "Add 183 to both sides: -2x = 8", "Divide both sides by -2: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 89) + 84 = 5(x + 9) - 220", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 89, \"c\": 84, \"d\": 5, \"e\": 9, \"g\": -220, \"x\": -4}", "seed": "14471852282713710085", "semantic_fingerprint": "sha256:105e2ed291e8c97a36b39c5fa02c65abbea922a1843c82354a8701c337eb19fb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002113", "prompt": "Find x: -8(x - 9) + 4 = -4x + 224", "solution_steps": ["Expand: -8x + 72 + 4 = -4x + 224", "Combine constants: -8x + 76 = -4x + 224", "Add 4x to both sides: -4x + 76 = 224", "Subtract 76 from both sides: -4x = 148", "Divide both sides by -4: x = -37"], "final_answer": "-37", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 9) + 4 = -4x + 224", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 9, \"c\": 4, \"d\": -4, \"e\": 224}", "seed": "14546459453974013554", "semantic_fingerprint": "sha256:04ab014706a6bf0dfa6503835cfe80429a28a2a7d71ca072e1fc328e832a269f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002114", "prompt": "Solve the equation 6(x - 9) + 90 = 8(x + 835) - 2 for x.", "solution_steps": ["Expand: 6x - 54 + 90 = 8(x + 835) - 2", "Expand: 6x - 54 + 90 = 8x + 6680 - 2", "Combine constants: 6x + 36 = 8x + 6680 - 2", "Combine constants: 6x + 36 = 8x + 6678", "Subtract 8x from both sides: -2x + 36 = 6678", "Subtract 36 from both sides: -2x = 6642", "Divide both sides by -2: x = -3321"], "final_answer": "-3321", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 9) + 90 = 8(x + 835) - 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 90, \"d\": 8, \"e\": 835, \"f\": 2}", "seed": "7679413960810230100", "semantic_fingerprint": "sha256:eee023cca2732f1a21b9bcfddeda9332b9b049ac10003f3900a1e15b1cfb321f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002115", "prompt": "Calculate: (-90 - 1 / 62) / (-40)", "solution_steps": ["Divide: 1 / 62 = 1/62", "Subtract: -90 - 1/62 = -5581/62", "Divide: (-5581/62) / (-40) = 5581/2480"], "final_answer": "5581/2480", "answer_type": "rational", "kind": "expression", "math_text": "(-90 - 1 / 62) / (-40)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": 1, \"c\": 62, \"d\": -40}", "seed": "8876882789212789397", "semantic_fingerprint": "sha256:83e66bb6e7e50964341ddf50f29926c6d0637ecd917de69f298d73ff0aaa95f9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002116", "prompt": "Calculate: -70 - (5 * (-799) + 462)", "solution_steps": ["Multiply: 5 * (-799) = -3995", "Add: -3995 + 462 = -3533", "Subtract: -70 - (-3533) = 3463"], "final_answer": "3463", "answer_type": "integer", "kind": "expression", "math_text": "-70 - (5 * (-799) + 462)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 5, \"c\": -799, \"d\": 462}", "seed": "3004851279000726772", "semantic_fingerprint": "sha256:aea8631da02c567ffa94743c8a96f4b16c96835deb2d5ece9a634781a9c23bd2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002117", "prompt": "What is 949 / (-2) + 9 * (24 + 17)?", "solution_steps": ["Divide: 949 / (-2) = -949/2", "Add: 24 + 17 = 41", "Multiply: 9 * 41 = 369", "Add: -949/2 + 369 = -211/2"], "final_answer": "-211/2", "answer_type": "rational", "kind": "expression", "math_text": "949 / (-2) + 9 * (24 + 17)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 949, \"b\": -2, \"c\": 9, \"d\": 24, \"e\": 17}", "seed": "7192611543345520312", "semantic_fingerprint": "sha256:ee7c482c084db9a3efa9fb0a2043aae0cc4bcfeaf17c137673dcfd4147817a29", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002118", "prompt": "Compute: 93 / (-3) * (41 / (-94 + (-7)))", "solution_steps": ["Divide: 93 / (-3) = -31", "Add: -94 + (-7) = -101", "Divide: 41 / (-101) = -41/101", "Multiply: -31 * (-41/101) = 1271/101"], "final_answer": "1271/101", "answer_type": "rational", "kind": "expression", "math_text": "93 / (-3) * (41 / (-94 + (-7)))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": -3, \"c\": 41, \"d\": -94, \"e\": -7}", "seed": "10540512861828285927", "semantic_fingerprint": "sha256:05deb212f93b45aeca00e3f0464d4fac9a114c9a6d742f6c4b3f4bd712bbd1a1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002119", "prompt": "Solve the equation 3(x - 56) - 56 = 8(x - 28) - 65 for x.", "solution_steps": ["Expand: 3x - 168 - 56 = 8(x - 28) - 65", "Expand: 3x - 168 - 56 = 8x - 224 - 65", "Combine constants: 3x - 224 = 8x - 224 - 65", "Combine constants: 3x - 224 = 8x - 289", "Subtract 8x from both sides: -5x - 224 = -289", "Add 224 to both sides: -5x = -65", "Divide both sides by -5: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 56) - 56 = 8(x - 28) - 65", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 56, \"c\": 56, \"d\": 8, \"e\": 28, \"g\": -65, \"x\": 13}", "seed": "2446465618192770110", "semantic_fingerprint": "sha256:4da74a35ae9978a3c7ea5305b452be6ed8977670f8c8b87bd7f95c71515b1c3b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002120", "prompt": "Compute: 0 * 2 / (-13 + 92)", "solution_steps": ["Multiply: 0 * 2 = 0", "Add: -13 + 92 = 79", "Divide: 0 / 79 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * 2 / (-13 + 92)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 2, \"c\": -13, \"d\": 92}", "seed": "9322834552357216694", "semantic_fingerprint": "sha256:acf00265482beb7967c6e4d69fcaf6c88121be165cd5bc1dca680b304b752915", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002121", "prompt": "Solve the equation 5(x - 54) + 3 = 11x + 8 for x.", "solution_steps": ["Expand: 5x - 270 + 3 = 11x + 8", "Combine constants: 5x - 267 = 11x + 8", "Subtract 11x from both sides: -6x - 267 = 8", "Add 267 to both sides: -6x = 275", "Divide both sides by -6: x = -275/6"], "final_answer": "-275/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 54) + 3 = 11x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 54, \"c\": 3, \"d\": 11, \"e\": 8}", "seed": "7702604896090683720", "semantic_fingerprint": "sha256:ec4162474716c080270d6d5fbe65f635ffe3e99841c6ddcdee0ba77f24a9ee1c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002122", "prompt": "What is -91 / (-96 - 99 + 2)?", "solution_steps": ["Subtract: -96 - 99 = -195", "Add: -195 + 2 = -193", "Divide: -91 / (-193) = 91/193"], "final_answer": "91/193", "answer_type": "rational", "kind": "expression", "math_text": "-91 / (-96 - 99 + 2)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -96, \"c\": 99, \"d\": 2}", "seed": "8203055469453943257", "semantic_fingerprint": "sha256:a6a7bf67e15669519c809567d22743304024ea60f73fe7628647816a3089d6b5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002123", "prompt": "What is 911 * (6 - (-2)) * (-53 / (-8))?", "solution_steps": ["Subtract: 6 - (-2) = 8", "Multiply: 911 * 8 = 7288", "Divide: -53 / (-8) = 53/8", "Multiply: 7288 * (53/8) = 48283"], "final_answer": "48283", "answer_type": "integer", "kind": "expression", "math_text": "911 * (6 - (-2)) * (-53 / (-8))", "variable": null, "family": "expression_4op", "shape": "(* (* n (- n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 911, \"b\": 6, \"c\": -2, \"d\": -53, \"e\": -8}", "seed": "4413868495041053022", "semantic_fingerprint": "sha256:f970b9afb4f7c669cf90fa44f0ebe251f4f3a3febdc672a8ffe9cfc2674d19d6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002124", "prompt": "Evaluate: -307 + (-50) / 578 + 48 * 35", "solution_steps": ["Divide: -50 / 578 = -25/289", "Add: -307 + (-25/289) = -88748/289", "Multiply: 48 * 35 = 1680", "Add: -88748/289 + 1680 = 396772/289"], "final_answer": "396772/289", "answer_type": "rational", "kind": "expression", "math_text": "-307 + (-50) / 578 + 48 * 35", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -307, \"b\": -50, \"c\": 578, \"d\": 48, \"e\": 35}", "seed": "11640560359229602198", "semantic_fingerprint": "sha256:ff92da845ef01a074b266a06acfdcf06bc3a1987a9875856527717d6f4dbc52f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002125", "prompt": "What value of x satisfies 5(x - 79) - 5 = 10(x - 9) - 280?", "solution_steps": ["Expand: 5x - 395 - 5 = 10(x - 9) - 280", "Expand: 5x - 395 - 5 = 10x - 90 - 280", "Combine constants: 5x - 400 = 10x - 90 - 280", "Combine constants: 5x - 400 = 10x - 370", "Subtract 10x from both sides: -5x - 400 = -370", "Add 400 to both sides: -5x = 30", "Divide both sides by -5: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 79) - 5 = 10(x - 9) - 280", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 79, \"c\": 5, \"d\": 10, \"e\": 9, \"g\": -280, \"x\": -6}", "seed": "12399173911846367452", "semantic_fingerprint": "sha256:fabcced76d36d792fc644635287ce1e6d1f09662a676b9dd709133721c61a43f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002126", "prompt": "Evaluate: -86 + (-9 * (-757) - 836)", "solution_steps": ["Multiply: -9 * (-757) = 6813", "Subtract: 6813 - 836 = 5977", "Add: -86 + 5977 = 5891"], "final_answer": "5891", "answer_type": "integer", "kind": "expression", "math_text": "-86 + (-9 * (-757) - 836)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -9, \"c\": -757, \"d\": 836}", "seed": "12755067605734719795", "semantic_fingerprint": "sha256:ba4c2526b80bb2742ab8f90e2b43db8208a64e94fb5e6a155ee05165f2104d9e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002127", "prompt": "What is (53 + (-43) + (-57)) / (-5 / (-8))?", "solution_steps": ["Add: 53 + (-43) = 10", "Add: 10 + (-57) = -47", "Divide: -5 / (-8) = 5/8", "Divide: -47 / (5/8) = -376/5"], "final_answer": "-376/5", "answer_type": "rational", "kind": "expression", "math_text": "(53 + (-43) + (-57)) / (-5 / (-8))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": -43, \"c\": -57, \"d\": -5, \"e\": -8}", "seed": "13196967812560388247", "semantic_fingerprint": "sha256:c0efb1fb36b8bb380cc00691ac5790f8baab235abffadfbebf9c7ea98118aed9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002128", "prompt": "Calculate: (52 - (-331)) / (-5 + 45 * 169)", "solution_steps": ["Subtract: 52 - (-331) = 383", "Multiply: 45 * 169 = 7605", "Add: -5 + 7605 = 7600", "Divide: 383 / 7600 = 383/7600"], "final_answer": "383/7600", "answer_type": "rational", "kind": "expression", "math_text": "(52 - (-331)) / (-5 + 45 * 169)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": -331, \"c\": -5, \"d\": 45, \"e\": 169}", "seed": "10795534829941988140", "semantic_fingerprint": "sha256:cfb40fb77505e41210eb9b2376474fee15617bb0a6d8b4af8185db6ac9e6416d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002129", "prompt": "What is (54 - 20) / (-1 + (-9) * (-113))?", "solution_steps": ["Subtract: 54 - 20 = 34", "Multiply: -9 * (-113) = 1017", "Add: -1 + 1017 = 1016", "Divide: 34 / 1016 = 17/508"], "final_answer": "17/508", "answer_type": "rational", "kind": "expression", "math_text": "(54 - 20) / (-1 + (-9) * (-113))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 20, \"c\": -1, \"d\": -9, \"e\": -113}", "seed": "8784310987458890839", "semantic_fingerprint": "sha256:a4eb7d5788b2ea38b671b5734127fcaac139d93c96c374303079e730e0185b41", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002130", "prompt": "Solve for x: 11(x - 68) + 573 = -8(x - 9)", "solution_steps": ["Expand: 11x - 748 + 573 = -8(x - 9)", "Expand: 11x - 748 + 573 = -8x + 72", "Combine constants: 11x - 175 = -8x + 72", "Add 8x to both sides: 19x - 175 = 72", "Add 175 to both sides: 19x = 247", "Divide both sides by 19: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 68) + 573 = -8(x - 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 68, \"c\": -8, \"d\": 9, \"f\": 573, \"x\": 13}", "seed": "5026936479906331772", "semantic_fingerprint": "sha256:56e01247214261428f039d8223136aa8e0e59d0c314f68946ef9decc15d2939c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002131", "prompt": "What value of x satisfies 11x - 1 = 5(x + 813) + 507?", "solution_steps": ["Expand: 11x - 1 = 5x + 4065 + 507", "Combine constants: 11x - 1 = 5x + 4572", "Subtract 5x from both sides: 6x - 1 = 4572", "Add 1 to both sides: 6x = 4573", "Divide both sides by 6: x = 4573/6"], "final_answer": "4573/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 1 = 5(x + 813) + 507", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 1, \"c\": 5, \"d\": 813, \"e\": 507}", "seed": "16841372039660341599", "semantic_fingerprint": "sha256:53466217bfc837ec2e7d44a2f294e5556b080a2671458ce3f45ccbd3de480d0f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002132", "prompt": "What value of x satisfies -9(x - 9) - 204 = 10(x - 18)?", "solution_steps": ["Expand: -9x + 81 - 204 = 10(x - 18)", "Expand: -9x + 81 - 204 = 10x - 180", "Combine constants: -9x - 123 = 10x - 180", "Subtract 10x from both sides: -19x - 123 = -180", "Add 123 to both sides: -19x = -57", "Divide both sides by -19: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 9) - 204 = 10(x - 18)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 9, \"c\": 10, \"d\": 18, \"f\": -204, \"x\": 3}", "seed": "14462511827945318262", "semantic_fingerprint": "sha256:dcb5318641bf3f6c22fb7220a1c6eedb8d04c916b290e8dcecfece45c07673d5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002133", "prompt": "Compute: 59 + (-46) / (8 - 6)", "solution_steps": ["Subtract: 8 - 6 = 2", "Divide: -46 / 2 = -23", "Add: 59 + (-23) = 36"], "final_answer": "36", "answer_type": "integer", "kind": "expression", "math_text": "59 + (-46) / (8 - 6)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": -46, \"c\": 8, \"d\": 6}", "seed": "14954356678401407569", "semantic_fingerprint": "sha256:748e18c593fa3a8a0333995c710f626ef770ca9805a3ef74642755dc4a94f1c4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002134", "prompt": "Evaluate: -23 + 7 / (-870) / (-3)", "solution_steps": ["Divide: 7 / (-870) = -7/870", "Divide: (-7/870) / (-3) = 7/2610", "Add: -23 + 7/2610 = -60023/2610"], "final_answer": "-60023/2610", "answer_type": "rational", "kind": "expression", "math_text": "-23 + 7 / (-870) / (-3)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": 7, \"c\": -870, \"d\": -3}", "seed": "9201328887267617788", "semantic_fingerprint": "sha256:4a43b6e9806c785266d2d76f17802de40e4491b1f727469fcba3eb61a4bdbf25", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002135", "prompt": "Compute: -5 * (-76 * (-78)) - 25", "solution_steps": ["Multiply: -76 * (-78) = 5928", "Multiply: -5 * 5928 = -29640", "Subtract: -29640 - 25 = -29665"], "final_answer": "-29665", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-76 * (-78)) - 25", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -76, \"c\": -78, \"d\": 25}", "seed": "2401905698406896593", "semantic_fingerprint": "sha256:b67b9af7b2616cfe591e2d061706d0cc3a431ca5c41a9f8c5cad367728e7682b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002136", "prompt": "Calculate: -345 * 2 + (272 / (-8) - (-6))", "solution_steps": ["Multiply: -345 * 2 = -690", "Divide: 272 / (-8) = -34", "Subtract: -34 - (-6) = -28", "Add: -690 + (-28) = -718"], "final_answer": "-718", "answer_type": "integer", "kind": "expression", "math_text": "-345 * 2 + (272 / (-8) - (-6))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -345, \"b\": 2, \"c\": 272, \"d\": -8, \"e\": -6}", "seed": "14743189004993229216", "semantic_fingerprint": "sha256:1788cea3b1c7d5b0b41d524469530d6a384f4d73f05440e3f5e92092bddeb6a7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002137", "prompt": "Calculate: -763 - 836 / (-5 * (-498))", "solution_steps": ["Multiply: -5 * (-498) = 2490", "Divide: 836 / 2490 = 418/1245", "Subtract: -763 - 418/1245 = -950353/1245"], "final_answer": "-950353/1245", "answer_type": "rational", "kind": "expression", "math_text": "-763 - 836 / (-5 * (-498))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -763, \"b\": 836, \"c\": -5, \"d\": -498}", "seed": "2908809805864214520", "semantic_fingerprint": "sha256:372f0d715ccf051f2c6b998a22e30a247464c45d339fa0444366f32fab5e6434", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002138", "prompt": "Evaluate: -4 / (-1 * 3) - 97", "solution_steps": ["Multiply: -1 * 3 = -3", "Divide: -4 / (-3) = 4/3", "Subtract: 4/3 - 97 = -287/3"], "final_answer": "-287/3", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-1 * 3) - 97", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -1, \"c\": 3, \"d\": 97}", "seed": "3910004338130304806", "semantic_fingerprint": "sha256:a5cca2521a202d8469c315bb0a74b0761424a8611b6c14bcdbaff9d8f88ed205", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002139", "prompt": "Calculate: -5 * (-17) + (-18 * (-9 * (-527)) - (-2))", "solution_steps": ["Multiply: -5 * (-17) = 85", "Multiply: -9 * (-527) = 4743", "Multiply: -18 * 4743 = -85374", "Subtract: -85374 - (-2) = -85372", "Add: 85 + (-85372) = -85287"], "final_answer": "-85287", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-17) + (-18 * (-9 * (-527)) - (-2))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (- (* n (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -17, \"c\": -18, \"d\": -9, \"e\": -527, \"f\": -2}", "seed": "6390440499252987908", "semantic_fingerprint": "sha256:aeaa244bf6db7aec18b164c4e510c3ee4b72288cd869c773c36fa28f26f9690f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002140", "prompt": "Calculate: 134 - 85 - (1 / (-3) + (-74))", "solution_steps": ["Subtract: 134 - 85 = 49", "Divide: 1 / (-3) = -1/3", "Add: -1/3 + (-74) = -223/3", "Subtract: 49 - (-223/3) = 370/3"], "final_answer": "370/3", "answer_type": "rational", "kind": "expression", "math_text": "134 - 85 - (1 / (-3) + (-74))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 134, \"b\": 85, \"c\": 1, \"d\": -3, \"e\": -74}", "seed": "4809884726412762741", "semantic_fingerprint": "sha256:597ef7b4a9f7adcee63c8bc14d15ec7b9caa44b09d24c1c4281d6ce544fef1c3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002141", "prompt": "Solve the equation 7(x - 317) - 407 = 9(x - 555) - 42 for x.", "solution_steps": ["Expand: 7x - 2219 - 407 = 9(x - 555) - 42", "Expand: 7x - 2219 - 407 = 9x - 4995 - 42", "Combine constants: 7x - 2626 = 9x - 4995 - 42", "Combine constants: 7x - 2626 = 9x - 5037", "Subtract 9x from both sides: -2x - 2626 = -5037", "Add 2626 to both sides: -2x = -2411", "Divide both sides by -2: x = 2411/2"], "final_answer": "2411/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 317) - 407 = 9(x - 555) - 42", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 317, \"c\": 407, \"d\": 9, \"e\": 555, \"f\": 42}", "seed": "5524210892014355019", "semantic_fingerprint": "sha256:7d68259eb776344c3dd00594f2712c3d007a348768e5ba94055635d8e22d9633", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002142", "prompt": "Solve for x: -9(x + 6) + 4 = 6(x + 49) - 190", "solution_steps": ["Expand: -9x - 54 + 4 = 6(x + 49) - 190", "Expand: -9x - 54 + 4 = 6x + 294 - 190", "Combine constants: -9x - 50 = 6x + 294 - 190", "Combine constants: -9x - 50 = 6x + 104", "Subtract 6x from both sides: -15x - 50 = 104", "Add 50 to both sides: -15x = 154", "Divide both sides by -15: x = -154/15"], "final_answer": "-154/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 6) + 4 = 6(x + 49) - 190", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 6, \"c\": 4, \"d\": 6, \"e\": 49, \"f\": 190}", "seed": "9203547295279085050", "semantic_fingerprint": "sha256:70ac41d9a0e31e4c3ade6a7a57dabe34f21aac0c2c71e2edc889da900c0efb18", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002143", "prompt": "Solve for x: 10(x + 9) + 16 = -3(x + 91) - 51", "solution_steps": ["Expand: 10x + 90 + 16 = -3(x + 91) - 51", "Expand: 10x + 90 + 16 = -3x - 273 - 51", "Combine constants: 10x + 106 = -3x - 273 - 51", "Combine constants: 10x + 106 = -3x - 324", "Add 3x to both sides: 13x + 106 = -324", "Subtract 106 from both sides: 13x = -430", "Divide both sides by 13: x = -430/13"], "final_answer": "-430/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 9) + 16 = -3(x + 91) - 51", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": 16, \"d\": -3, \"e\": 91, \"f\": 51}", "seed": "7404863812795335409", "semantic_fingerprint": "sha256:7e89c0e017ed8c5459723cce900461190304d59f80f1eada8e0da3350b62aa33", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002144", "prompt": "Compute: 2 + (-14) - (-740 + (-9))", "solution_steps": ["Add: 2 + (-14) = -12", "Add: -740 + (-9) = -749", "Subtract: -12 - (-749) = 737"], "final_answer": "737", "answer_type": "integer", "kind": "expression", "math_text": "2 + (-14) - (-740 + (-9))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -14, \"c\": -740, \"d\": -9}", "seed": "13637883205316734393", "semantic_fingerprint": "sha256:27dd815473377423fb355c4a51fc3ec2c705b2c672a6fad408e1b5fbabc6c219", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002145", "prompt": "Evaluate: 5 + (3 - 0 / 751 * 2)", "solution_steps": ["Divide: 0 / 751 = 0", "Multiply: 0 * 2 = 0", "Subtract: 3 - 0 = 3", "Add: 5 + 3 = 8"], "final_answer": "8", "answer_type": "integer", "kind": "expression", "math_text": "5 + (3 - 0 / 751 * 2)", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (* (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 0, \"d\": 751, \"e\": 2}", "seed": "13851597439278506506", "semantic_fingerprint": "sha256:11bf8b610c88a09e8cc458e6ff4b7f3df4f90f00203ac631cb5a855890706ff7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002146", "prompt": "Evaluate: 8 + 6 / (54 - (0 + 2 + (-99)))", "solution_steps": ["Add: 0 + 2 = 2", "Add: 2 + (-99) = -97", "Subtract: 54 - (-97) = 151", "Divide: 6 / 151 = 6/151", "Add: 8 + 6/151 = 1214/151"], "final_answer": "1214/151", "answer_type": "rational", "kind": "expression", "math_text": "8 + 6 / (54 - (0 + 2 + (-99)))", "variable": null, "family": "expression_5op", "shape": "(+ n (/ n (- n (+ (+ n n) n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6, \"c\": 54, \"d\": 0, \"e\": 2, \"f\": -99}", "seed": "9929336998719898666", "semantic_fingerprint": "sha256:e8b4634b5ec0edae74e1e2d7050bc0a3533b0ea31650572e1e6615ced2ab1d2c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002147", "prompt": "Compute: (6 + (-64)) / (-2 / (-18))", "solution_steps": ["Add: 6 + (-64) = -58", "Divide: -2 / (-18) = 1/9", "Divide: -58 / (1/9) = -522"], "final_answer": "-522", "answer_type": "integer", "kind": "expression", "math_text": "(6 + (-64)) / (-2 / (-18))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -64, \"c\": -2, \"d\": -18}", "seed": "17919221482696993476", "semantic_fingerprint": "sha256:192f3b783b6274a8d3e700c9b71de14569c441f48d77bac9350529b810883f73", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002148", "prompt": "Solve for x: 11(x - 92) + 738 = 7(x - 50)", "solution_steps": ["Expand: 11x - 1012 + 738 = 7(x - 50)", "Expand: 11x - 1012 + 738 = 7x - 350", "Combine constants: 11x - 274 = 7x - 350", "Subtract 7x from both sides: 4x - 274 = -350", "Add 274 to both sides: 4x = -76", "Divide both sides by 4: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 92) + 738 = 7(x - 50)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 92, \"c\": 7, \"d\": 50, \"f\": 738, \"x\": -19}", "seed": "11313380256701941833", "semantic_fingerprint": "sha256:ee309826da9bec4435d3b3668aba68e2fbfa5d0bb623e54e177def9271fed7b6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002149", "prompt": "What value of x satisfies x - 1 = 11(x - 6) + 15?", "solution_steps": ["Expand: x - 1 = 11x - 66 + 15", "Combine constants: x - 1 = 11x - 51", "Subtract 11x from both sides: -10x - 1 = -51", "Add 1 to both sides: -10x = -50", "Divide both sides by -10: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1 = 11(x - 6) + 15", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 11, \"c\": 6, \"e\": 15, \"x\": 5}", "seed": "11072076248861132999", "semantic_fingerprint": "sha256:c4579731230e85ec6847627cf9f7eb81d87a896124a43da579089057bf1dc803", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002150", "prompt": "Evaluate: 477 + 20 * (70 / 71) + 88", "solution_steps": ["Divide: 70 / 71 = 70/71", "Multiply: 20 * (70/71) = 1400/71", "Add: 477 + 1400/71 = 35267/71", "Add: 35267/71 + 88 = 41515/71"], "final_answer": "41515/71", "answer_type": "rational", "kind": "expression", "math_text": "477 + 20 * (70 / 71) + 88", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (* n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 477, \"b\": 20, \"c\": 70, \"d\": 71, \"e\": 88}", "seed": "4172765039464593515", "semantic_fingerprint": "sha256:c897072513aa6f6aee954043913d9c0d83faf909ddf0d7a4492930080abeea68", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002151", "prompt": "Calculate: -30 + (8 + (-4)) - (-94)", "solution_steps": ["Add: 8 + (-4) = 4", "Add: -30 + 4 = -26", "Subtract: -26 - (-94) = 68"], "final_answer": "68", "answer_type": "integer", "kind": "expression", "math_text": "-30 + (8 + (-4)) - (-94)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": 8, \"c\": -4, \"d\": -94}", "seed": "13946657740423223879", "semantic_fingerprint": "sha256:8d67839e7b694ef2b117969df60ab6b8b51d7bb1c2ae1f880c487a36ba6a4013", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002152", "prompt": "Find x: 6(x - 64) + 306 = 9(x - 3)", "solution_steps": ["Expand: 6x - 384 + 306 = 9(x - 3)", "Expand: 6x - 384 + 306 = 9x - 27", "Combine constants: 6x - 78 = 9x - 27", "Subtract 9x from both sides: -3x - 78 = -27", "Add 78 to both sides: -3x = 51", "Divide both sides by -3: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 64) + 306 = 9(x - 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 64, \"c\": 9, \"d\": 3, \"f\": 306, \"x\": -17}", "seed": "2573069689163754270", "semantic_fingerprint": "sha256:af754f25a4c2df777d83961d55adc8714e0f0008de4a4118bc9b926693e67038", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002153", "prompt": "Compute: 1 - 342 / (-81 / 1)", "solution_steps": ["Divide: -81 / 1 = -81", "Divide: 342 / (-81) = -38/9", "Subtract: 1 - (-38/9) = 47/9"], "final_answer": "47/9", "answer_type": "rational", "kind": "expression", "math_text": "1 - 342 / (-81 / 1)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 342, \"c\": -81, \"d\": 1}", "seed": "4906651913494927085", "semantic_fingerprint": "sha256:121bcd519e4bce399477b5065c7295333e97a362633111a4e8abbfe900a1aac5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002154", "prompt": "Calculate: -99 * ((-5 + (-403)) * 13 / 2)", "solution_steps": ["Add: -5 + (-403) = -408", "Multiply: -408 * 13 = -5304", "Divide: -5304 / 2 = -2652", "Multiply: -99 * (-2652) = 262548"], "final_answer": "262548", "answer_type": "integer", "kind": "expression", "math_text": "-99 * ((-5 + (-403)) * 13 / 2)", "variable": null, "family": "expression_4op", "shape": "(* n (/ (* (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -5, \"c\": -403, \"d\": 13, \"e\": 2}", "seed": "3240385018798762075", "semantic_fingerprint": "sha256:7d40c107134f7f85f33861e6e68a261a2fd4bd1c108711bd8027d262b059605b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002155", "prompt": "Compute: (1 + (9 * 5 + (-25))) / (-40 * (-151))", "solution_steps": ["Multiply: 9 * 5 = 45", "Add: 45 + (-25) = 20", "Add: 1 + 20 = 21", "Multiply: -40 * (-151) = 6040", "Divide: 21 / 6040 = 21/6040"], "final_answer": "21/6040", "answer_type": "rational", "kind": "expression", "math_text": "(1 + (9 * 5 + (-25))) / (-40 * (-151))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (+ (* n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 9, \"c\": 5, \"d\": -25, \"e\": -40, \"f\": -151}", "seed": "1312579762831235507", "semantic_fingerprint": "sha256:049ea9d9ff97c92ccf19e9182ce22d79d24c40af2fb603b2a8274280bdf1961b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002156", "prompt": "Evaluate: -193 * (9 / (-4) / 3 - 4)", "solution_steps": ["Divide: 9 / (-4) = -9/4", "Divide: (-9/4) / 3 = -3/4", "Subtract: -3/4 - 4 = -19/4", "Multiply: -193 * (-19/4) = 3667/4"], "final_answer": "3667/4", "answer_type": "rational", "kind": "expression", "math_text": "-193 * (9 / (-4) / 3 - 4)", "variable": null, "family": "expression_4op", "shape": "(* n (- (/ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -193, \"b\": 9, \"c\": -4, \"d\": 3, \"e\": 4}", "seed": "13424976546060552061", "semantic_fingerprint": "sha256:28abdd81fd978c203606a275998c330fab369f4fd5b0d8e971f311331d315dc4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002157", "prompt": "Evaluate: -2 + (39 * (-30) - (-9))", "solution_steps": ["Multiply: 39 * (-30) = -1170", "Subtract: -1170 - (-9) = -1161", "Add: -2 + (-1161) = -1163"], "final_answer": "-1163", "answer_type": "integer", "kind": "expression", "math_text": "-2 + (39 * (-30) - (-9))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 39, \"c\": -30, \"d\": -9}", "seed": "299571845940881958", "semantic_fingerprint": "sha256:39673c5a229f176c5a2f6919f29964ef82c3f481f7f28e8a294c3ff67bd673d6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002158", "prompt": "Solve for x: -3(x - 1) + 92 = 4x + 137", "solution_steps": ["Expand: -3x + 3 + 92 = 4x + 137", "Combine constants: -3x + 95 = 4x + 137", "Subtract 4x from both sides: -7x + 95 = 137", "Subtract 95 from both sides: -7x = 42", "Divide both sides by -7: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 1) + 92 = 4x + 137", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 1, \"c\": 92, \"d\": 4, \"f\": 137, \"x\": -6}", "seed": "8799182310616914962", "semantic_fingerprint": "sha256:c2844887df0664aae3177ad586e757dfd6ebf52ef111e0020cf6ce6fcd5bd7a3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002159", "prompt": "What value of x satisfies 9(x + 2) + 44 = 4(x + 24) - 19?", "solution_steps": ["Expand: 9x + 18 + 44 = 4(x + 24) - 19", "Expand: 9x + 18 + 44 = 4x + 96 - 19", "Combine constants: 9x + 62 = 4x + 96 - 19", "Combine constants: 9x + 62 = 4x + 77", "Subtract 4x from both sides: 5x + 62 = 77", "Subtract 62 from both sides: 5x = 15", "Divide both sides by 5: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 2) + 44 = 4(x + 24) - 19", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 44, \"d\": 4, \"e\": 24, \"g\": -19, \"x\": 3}", "seed": "7935777296336391498", "semantic_fingerprint": "sha256:9f15e4cdcdd40fdecb16e2a57f8dc52a17cb53dea5b288f21c1054fe2c15d461", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002160", "prompt": "Calculate: 4 * 45 / (352 + (-992))", "solution_steps": ["Multiply: 4 * 45 = 180", "Add: 352 + (-992) = -640", "Divide: 180 / (-640) = -9/32"], "final_answer": "-9/32", "answer_type": "rational", "kind": "expression", "math_text": "4 * 45 / (352 + (-992))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 45, \"c\": 352, \"d\": -992}", "seed": "7400357995747000233", "semantic_fingerprint": "sha256:f4f86a129a18dfa3c9b1862f68265fd9bf75e7671ed67c2f8d25470e8d39459b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002161", "prompt": "Solve for x: 8x - 8 = 2(x + 2) + 53", "solution_steps": ["Expand: 8x - 8 = 2x + 4 + 53", "Combine constants: 8x - 8 = 2x + 57", "Subtract 2x from both sides: 6x - 8 = 57", "Add 8 to both sides: 6x = 65", "Divide both sides by 6: x = 65/6"], "final_answer": "65/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 8 = 2(x + 2) + 53", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": 2, \"d\": 2, \"e\": 53}", "seed": "1676710658685730444", "semantic_fingerprint": "sha256:bf8e90270e4b78245085eaa53da38292d26b89124d2698c6dba53e16c0d19966", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002162", "prompt": "Compute: (21 - 1) * (-233) * (-96)", "solution_steps": ["Subtract: 21 - 1 = 20", "Multiply: 20 * (-233) = -4660", "Multiply: -4660 * (-96) = 447360"], "final_answer": "447360", "answer_type": "integer", "kind": "expression", "math_text": "(21 - 1) * (-233) * (-96)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 1, \"c\": -233, \"d\": -96}", "seed": "943190438844982076", "semantic_fingerprint": "sha256:236017198319cb15cf3bd7175914a2d1ed3cfb5be1f1fb504cac8b4446ac63ac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002163", "prompt": "What value of x satisfies 7x - 2 = -6(x + 10) + 8?", "solution_steps": ["Expand: 7x - 2 = -6x - 60 + 8", "Combine constants: 7x - 2 = -6x - 52", "Add 6x to both sides: 13x - 2 = -52", "Add 2 to both sides: 13x = -50", "Divide both sides by 13: x = -50/13"], "final_answer": "-50/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x - 2 = -6(x + 10) + 8", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": -6, \"d\": 10, \"e\": 8}", "seed": "2686095630872318565", "semantic_fingerprint": "sha256:21805f9a0c08398009d244860fb8e22cc05474e4d25288df6c425922a695a34e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002164", "prompt": "Evaluate: 12 + (-61 * 63 - (-3))", "solution_steps": ["Multiply: -61 * 63 = -3843", "Subtract: -3843 - (-3) = -3840", "Add: 12 + (-3840) = -3828"], "final_answer": "-3828", "answer_type": "integer", "kind": "expression", "math_text": "12 + (-61 * 63 - (-3))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -61, \"c\": 63, \"d\": -3}", "seed": "18160673272856341494", "semantic_fingerprint": "sha256:c0a4fc2a788ecbff67a51404285db7c3d82e121bf3b44d6fe940d31f37b15814", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002165", "prompt": "What is -6 * (-16) / 4 / 9?", "solution_steps": ["Multiply: -6 * (-16) = 96", "Divide: 96 / 4 = 24", "Divide: 24 / 9 = 8/3"], "final_answer": "8/3", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (-16) / 4 / 9", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -16, \"c\": 4, \"d\": 9}", "seed": "1700763155863887078", "semantic_fingerprint": "sha256:b056e5220f6cc09e24074846f5aa45b31b67f9382d662fc204c664e8f1a60fe6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002166", "prompt": "Compute: 16 * 460 / 6 / (-1)", "solution_steps": ["Multiply: 16 * 460 = 7360", "Divide: 7360 / 6 = 3680/3", "Divide: (3680/3) / (-1) = -3680/3"], "final_answer": "-3680/3", "answer_type": "rational", "kind": "expression", "math_text": "16 * 460 / 6 / (-1)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 460, \"c\": 6, \"d\": -1}", "seed": "8409411620948864257", "semantic_fingerprint": "sha256:cc2da0ceddee7c6710d16465b8fc9908b1c8bc6f85986643aac73f8122434ff4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002167", "prompt": "What value of x satisfies 4(x - 32) = 6x - 162?", "solution_steps": ["Expand: 4x - 128 = 6x - 162", "Subtract 6x from both sides: -2x - 128 = -162", "Add 128 to both sides: -2x = -34", "Divide both sides by -2: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 32) = 6x - 162", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 32, \"c\": 6, \"e\": -162, \"x\": 17}", "seed": "38030479645240717", "semantic_fingerprint": "sha256:1604ca143efeef06cdef6b35ae278a3aa36b2d1b8f175921d26c1f32570cea21", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002168", "prompt": "What value of x satisfies x - 3 = 10(x - 65) + 8?", "solution_steps": ["Expand: x - 3 = 10x - 650 + 8", "Combine constants: x - 3 = 10x - 642", "Subtract 10x from both sides: -9x - 3 = -642", "Add 3 to both sides: -9x = -639", "Divide both sides by -9: x = 71"], "final_answer": "71", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3 = 10(x - 65) + 8", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 10, \"c\": 65, \"d\": 8}", "seed": "55736348561057593", "semantic_fingerprint": "sha256:1654492ed06ca0c05cb5c4460354687cc72236ab3be48841676ebaab2d26ed4c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002169", "prompt": "Calculate: -48 + (-9 + 79) * (-67) - (-27 - (-114))", "solution_steps": ["Add: -9 + 79 = 70", "Multiply: 70 * (-67) = -4690", "Add: -48 + (-4690) = -4738", "Subtract: -27 - (-114) = 87", "Subtract: -4738 - 87 = -4825"], "final_answer": "-4825", "answer_type": "integer", "kind": "expression", "math_text": "-48 + (-9 + 79) * (-67) - (-27 - (-114))", "variable": null, "family": "expression_5op", "shape": "(- (+ n (* (+ n n) n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": -9, \"c\": 79, \"d\": -67, \"e\": -27, \"f\": -114}", "seed": "13178356917452925166", "semantic_fingerprint": "sha256:b85ecd1d7efd67cf368675f82b74204229e69e08ad333d48a4b78ed28120e639", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002170", "prompt": "What is 3 + (-87) - (-36 - (-9)) + (-93)?", "solution_steps": ["Add: 3 + (-87) = -84", "Subtract: -36 - (-9) = -27", "Subtract: -84 - (-27) = -57", "Add: -57 + (-93) = -150"], "final_answer": "-150", "answer_type": "integer", "kind": "expression", "math_text": "3 + (-87) - (-36 - (-9)) + (-93)", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -87, \"c\": -36, \"d\": -9, \"e\": -93}", "seed": "3826244094440488455", "semantic_fingerprint": "sha256:0e0b7501a3e700b43938debed9c663b0c618af14583c39d83619e02434974048", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002171", "prompt": "Evaluate: 0 * 4 / 2 - (38 / 8 - (-5))", "solution_steps": ["Multiply: 0 * 4 = 0", "Divide: 0 / 2 = 0", "Divide: 38 / 8 = 19/4", "Subtract: 19/4 - (-5) = 39/4", "Subtract: 0 - 39/4 = -39/4"], "final_answer": "-39/4", "answer_type": "rational", "kind": "expression", "math_text": "0 * 4 / 2 - (38 / 8 - (-5))", "variable": null, "family": "expression_5op", "shape": "(- (/ (* n n) n) (- (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 4, \"c\": 2, \"d\": 38, \"e\": 8, \"f\": -5}", "seed": "10304196480056280239", "semantic_fingerprint": "sha256:bddddc8a9e12cc8af57fb5e167b5b0216720d794fb4d6627b28531a08803de9b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002172", "prompt": "Compute: 89 / (9 / (-3) * (-15 * (-83)))", "solution_steps": ["Divide: 9 / (-3) = -3", "Multiply: -15 * (-83) = 1245", "Multiply: -3 * 1245 = -3735", "Divide: 89 / (-3735) = -89/3735"], "final_answer": "-89/3735", "answer_type": "rational", "kind": "expression", "math_text": "89 / (9 / (-3) * (-15 * (-83)))", "variable": null, "family": "expression_4op", "shape": "(/ n (* (/ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": 9, \"c\": -3, \"d\": -15, \"e\": -83}", "seed": "5967894512364895127", "semantic_fingerprint": "sha256:0a317b4526ce6a032db0a70c29e88efa5bdf0e807573fb42011976de01ef97c2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002173", "prompt": "Solve for x: 2(x + 7) - 967 = x - 961", "solution_steps": ["Expand: 2x + 14 - 967 = x - 961", "Combine constants: 2x - 953 = x - 961", "Subtract x from both sides: x - 953 = -961", "Add 953 to both sides: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 7) - 967 = x - 961", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": 967, \"e\": -961, \"x\": -8}", "seed": "12906411017733158975", "semantic_fingerprint": "sha256:7c0224501424f23243460121c218aa01388b7b3c55d5eeb6afeb6929c6c05f13", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002174", "prompt": "Compute: (2 + (0 + (-3 + (-43 + (-89))))) * 35", "solution_steps": ["Add: -43 + (-89) = -132", "Add: -3 + (-132) = -135", "Add: 0 + (-135) = -135", "Add: 2 + (-135) = -133", "Multiply: -133 * 35 = -4655"], "final_answer": "-4655", "answer_type": "integer", "kind": "expression", "math_text": "(2 + (0 + (-3 + (-43 + (-89))))) * 35", "variable": null, "family": "expression_5op", "shape": "(* (+ n (+ n (+ n (+ n n)))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 0, \"c\": -3, \"d\": -43, \"e\": -89, \"f\": 35}", "seed": "13482589902859496247", "semantic_fingerprint": "sha256:e944716c95a5b21df56fdfeb9f3c2a186b5d7bceb56cde00c9d3c181a69f4ec0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002175", "prompt": "Solve for x: -6(x + 49) - 8 = x - 197", "solution_steps": ["Expand: -6x - 294 - 8 = x - 197", "Combine constants: -6x - 302 = x - 197", "Subtract x from both sides: -7x - 302 = -197", "Add 302 to both sides: -7x = 105", "Divide both sides by -7: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 49) - 8 = x - 197", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 49, \"c\": 8, \"e\": -197, \"x\": -15}", "seed": "7356475302255769596", "semantic_fingerprint": "sha256:c134caaf721d452a56a52c8019dd1b7fc7123843f17c5c0b3f176827fac1efbd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002176", "prompt": "Find x: 7(x - 73) + 711 = -4(x - 83)", "solution_steps": ["Expand: 7x - 511 + 711 = -4(x - 83)", "Expand: 7x - 511 + 711 = -4x + 332", "Combine constants: 7x + 200 = -4x + 332", "Add 4x to both sides: 11x + 200 = 332", "Subtract 200 from both sides: 11x = 132", "Divide both sides by 11: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 73) + 711 = -4(x - 83)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 73, \"c\": -4, \"d\": 83, \"f\": 711, \"x\": 12}", "seed": "7717144299525748389", "semantic_fingerprint": "sha256:9fc69814a776f21cea30a52530c0ae732e229776fe58e167697ea611e07be581", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002177", "prompt": "Calculate: -8 / (-444 * 14) + (-17 / 5 - (-36))", "solution_steps": ["Multiply: -444 * 14 = -6216", "Divide: -8 / (-6216) = 1/777", "Divide: -17 / 5 = -17/5", "Subtract: -17/5 - (-36) = 163/5", "Add: 1/777 + 163/5 = 126656/3885"], "final_answer": "126656/3885", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-444 * 14) + (-17 / 5 - (-36))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (* n n)) (- (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -444, \"c\": 14, \"d\": -17, \"e\": 5, \"f\": -36}", "seed": "11413627226268365560", "semantic_fingerprint": "sha256:e88c67c309b76a64bdb76113cf8bc0a048b1be5b2c86333e95c512c884344cbc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002178", "prompt": "What is 35 - (-918 - (-280 - 9))?", "solution_steps": ["Subtract: -280 - 9 = -289", "Subtract: -918 - (-289) = -629", "Subtract: 35 - (-629) = 664"], "final_answer": "664", "answer_type": "integer", "kind": "expression", "math_text": "35 - (-918 - (-280 - 9))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -918, \"c\": -280, \"d\": 9}", "seed": "136548316979836128", "semantic_fingerprint": "sha256:63217086e226fd46eb597f0ef5db48f20e677133f8a007907008e89a10e768ba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002179", "prompt": "What is -3 - (-71 - (23 - (-5)))?", "solution_steps": ["Subtract: 23 - (-5) = 28", "Subtract: -71 - 28 = -99", "Subtract: -3 - (-99) = 96"], "final_answer": "96", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (-71 - (23 - (-5)))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -71, \"c\": 23, \"d\": -5}", "seed": "6038052163029745342", "semantic_fingerprint": "sha256:0d65f3ee12def9aca61fd8334886301c2d24eeb55fb32af137294ecdbe30a6e6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002180", "prompt": "Solve for x: x - 31 = 12(x - 41) + 5", "solution_steps": ["Expand: x - 31 = 12x - 492 + 5", "Combine constants: x - 31 = 12x - 487", "Subtract 12x from both sides: -11x - 31 = -487", "Add 31 to both sides: -11x = -456", "Divide both sides by -11: x = 456/11"], "final_answer": "456/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 31 = 12(x - 41) + 5", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 12, \"c\": 41, \"d\": 5}", "seed": "235881769769264094", "semantic_fingerprint": "sha256:5fde7e9737f593f108315e7442793541904fda573c267aaf4e6e86300a88dece", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002181", "prompt": "Evaluate: (771 - (0 - 5)) / (8 + (-475))", "solution_steps": ["Subtract: 0 - 5 = -5", "Subtract: 771 - (-5) = 776", "Add: 8 + (-475) = -467", "Divide: 776 / (-467) = -776/467"], "final_answer": "-776/467", "answer_type": "rational", "kind": "expression", "math_text": "(771 - (0 - 5)) / (8 + (-475))", "variable": null, "family": "expression_4op", "shape": "(/ (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 771, \"b\": 0, \"c\": 5, \"d\": 8, \"e\": -475}", "seed": "12898276351777842194", "semantic_fingerprint": "sha256:2759245f6903f462fe3fd02cbdb4f1354c21e2f8df2549eeba09fa032c343224", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002182", "prompt": "What is -82 * (509 - (-246 - (-93 - (-96))))?", "solution_steps": ["Subtract: -93 - (-96) = 3", "Subtract: -246 - 3 = -249", "Subtract: 509 - (-249) = 758", "Multiply: -82 * 758 = -62156"], "final_answer": "-62156", "answer_type": "integer", "kind": "expression", "math_text": "-82 * (509 - (-246 - (-93 - (-96))))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (- n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": 509, \"c\": -246, \"d\": -93, \"e\": -96}", "seed": "10470836989897583851", "semantic_fingerprint": "sha256:435a96e2c92ff2c16aca7b0985eac9f956b32efeedb205a7021d29b268dbbbe7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002183", "prompt": "What is (-96 + 37) / (-4 / 94)?", "solution_steps": ["Add: -96 + 37 = -59", "Divide: -4 / 94 = -2/47", "Divide: -59 / (-2/47) = 2773/2"], "final_answer": "2773/2", "answer_type": "rational", "kind": "expression", "math_text": "(-96 + 37) / (-4 / 94)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": 37, \"c\": -4, \"d\": 94}", "seed": "6879966483871160135", "semantic_fingerprint": "sha256:edeff8b05f17f9d9496836e384a683639cc62f4a530115f4c6edc2b3490efb99", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002184", "prompt": "Solve for x: 6(x - 47) = -9x - 582", "solution_steps": ["Expand: 6x - 282 = -9x - 582", "Add 9x to both sides: 15x - 282 = -582", "Add 282 to both sides: 15x = -300", "Divide both sides by 15: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 47) = -9x - 582", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 47, \"c\": -9, \"e\": -582, \"x\": -20}", "seed": "1642278756721603141", "semantic_fingerprint": "sha256:9710f2b0d5effa6c482e474d162da99916d5347668149e188b47132262100a5e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002185", "prompt": "Compute: 2 / 9 / (4 * (-19 / 497))", "solution_steps": ["Divide: 2 / 9 = 2/9", "Divide: -19 / 497 = -19/497", "Multiply: 4 * (-19/497) = -76/497", "Divide: (2/9) / (-76/497) = -497/342"], "final_answer": "-497/342", "answer_type": "rational", "kind": "expression", "math_text": "2 / 9 / (4 * (-19 / 497))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (* n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 4, \"d\": -19, \"e\": 497}", "seed": "6537449691805740347", "semantic_fingerprint": "sha256:aa7dd7784296bf5ac889b8a20f002e2f3dc6a3507ba1c776f1d80727f164a00c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002186", "prompt": "What is -25 - (0 * (-343) + (-303))?", "solution_steps": ["Multiply: 0 * (-343) = 0", "Add: 0 + (-303) = -303", "Subtract: -25 - (-303) = 278"], "final_answer": "278", "answer_type": "integer", "kind": "expression", "math_text": "-25 - (0 * (-343) + (-303))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 0, \"c\": -343, \"d\": -303}", "seed": "15928931112072684897", "semantic_fingerprint": "sha256:ac42fea0af6d83c30fcaab9c6a6b32af4018704bdd60789eeb0274f0f3d865b7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002187", "prompt": "Calculate: (76 - 885) * (-62 / 22)", "solution_steps": ["Subtract: 76 - 885 = -809", "Divide: -62 / 22 = -31/11", "Multiply: -809 * (-31/11) = 25079/11"], "final_answer": "25079/11", "answer_type": "rational", "kind": "expression", "math_text": "(76 - 885) * (-62 / 22)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 885, \"c\": -62, \"d\": 22}", "seed": "1082512461692241750", "semantic_fingerprint": "sha256:0d09992ab4b7e20d103f265bc17ce51d3e4e1384958ef048a69463a27a871559", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002188", "prompt": "Calculate: -7 / (-79) - 0 - 64", "solution_steps": ["Divide: -7 / (-79) = 7/79", "Subtract: 7/79 - 0 = 7/79", "Subtract: 7/79 - 64 = -5049/79"], "final_answer": "-5049/79", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-79) - 0 - 64", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -79, \"c\": 0, \"d\": 64}", "seed": "18435367680855469330", "semantic_fingerprint": "sha256:8de9804a1c51c15c383035376e2738cab702584848a161b0f28896bd4f8aa711", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002189", "prompt": "Calculate: 79 + (95 + (-116)) - 58", "solution_steps": ["Add: 95 + (-116) = -21", "Add: 79 + (-21) = 58", "Subtract: 58 - 58 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "79 + (95 + (-116)) - 58", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": 95, \"c\": -116, \"d\": 58}", "seed": "13877743652066886138", "semantic_fingerprint": "sha256:bbbf0a917635e71fcbf5d12e916d1f47232edcf172f986b7045bee5e7f7c5733", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002190", "prompt": "Calculate: 570 * (-2) * 355 + (76 + (-35 + 323))", "solution_steps": ["Multiply: 570 * (-2) = -1140", "Multiply: -1140 * 355 = -404700", "Add: -35 + 323 = 288", "Add: 76 + 288 = 364", "Add: -404700 + 364 = -404336"], "final_answer": "-404336", "answer_type": "integer", "kind": "expression", "math_text": "570 * (-2) * 355 + (76 + (-35 + 323))", "variable": null, "family": "expression_5op", "shape": "(+ (* (* n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 570, \"b\": -2, \"c\": 355, \"d\": 76, \"e\": -35, \"f\": 323}", "seed": "11188804469997225482", "semantic_fingerprint": "sha256:fcdfd84bc6be951ec57c879fe6905bac4f5900413249b2d9effe2a1c1016a9ab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002191", "prompt": "What is -93 / (-9) * (-822) / (-91) * 84?", "solution_steps": ["Divide: -93 / (-9) = 31/3", "Multiply: (31/3) * (-822) = -8494", "Divide: -8494 / (-91) = 8494/91", "Multiply: (8494/91) * 84 = 101928/13"], "final_answer": "101928/13", "answer_type": "rational", "kind": "expression", "math_text": "-93 / (-9) * (-822) / (-91) * 84", "variable": null, "family": "expression_4op", "shape": "(* (/ (* (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": -9, \"c\": -822, \"d\": -91, \"e\": 84}", "seed": "8773755994103480590", "semantic_fingerprint": "sha256:4c659d553c489d129dd2b3bb775841bfe4839e14d6819fd4057e874b1a981eef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002192", "prompt": "Calculate: (703 + 9) / (0 - (5 - (-97)))", "solution_steps": ["Add: 703 + 9 = 712", "Subtract: 5 - (-97) = 102", "Subtract: 0 - 102 = -102", "Divide: 712 / (-102) = -356/51"], "final_answer": "-356/51", "answer_type": "rational", "kind": "expression", "math_text": "(703 + 9) / (0 - (5 - (-97)))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 703, \"b\": 9, \"c\": 0, \"d\": 5, \"e\": -97}", "seed": "16768490276420062876", "semantic_fingerprint": "sha256:6a88151c7b85dab28a0fc3e5304377452e9db0b453dea8fb0ea9e7fd355ca564", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002193", "prompt": "Compute: (3 + (-508 + (-5) / (-89))) / (-12) * 4", "solution_steps": ["Divide: -5 / (-89) = 5/89", "Add: -508 + 5/89 = -45207/89", "Add: 3 + (-45207/89) = -44940/89", "Divide: (-44940/89) / (-12) = 3745/89", "Multiply: (3745/89) * 4 = 14980/89"], "final_answer": "14980/89", "answer_type": "rational", "kind": "expression", "math_text": "(3 + (-508 + (-5) / (-89))) / (-12) * 4", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ n (+ n (/ n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -508, \"c\": -5, \"d\": -89, \"e\": -12, \"f\": 4}", "seed": "6318719568144246478", "semantic_fingerprint": "sha256:6c3813c7a89977fd8723e70bedd2310a90d70f0f0c8be071b4590ca30cdb7310", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002194", "prompt": "What is 451 - (-13 + (-3)) / (-7 * (-50))?", "solution_steps": ["Add: -13 + (-3) = -16", "Multiply: -7 * (-50) = 350", "Divide: -16 / 350 = -8/175", "Subtract: 451 - (-8/175) = 78933/175"], "final_answer": "78933/175", "answer_type": "rational", "kind": "expression", "math_text": "451 - (-13 + (-3)) / (-7 * (-50))", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 451, \"b\": -13, \"c\": -3, \"d\": -7, \"e\": -50}", "seed": "15629532791232036562", "semantic_fingerprint": "sha256:573290a79f28e714bca6216208fd80471106630fd880ecfe192772e65b1e7af2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002195", "prompt": "Compute: 436 / (823 - (-525) - 421)", "solution_steps": ["Subtract: 823 - (-525) = 1348", "Subtract: 1348 - 421 = 927", "Divide: 436 / 927 = 436/927"], "final_answer": "436/927", "answer_type": "rational", "kind": "expression", "math_text": "436 / (823 - (-525) - 421)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 436, \"b\": 823, \"c\": -525, \"d\": 421}", "seed": "12924541167350593582", "semantic_fingerprint": "sha256:c164fc8733d10f1b46eb2d387bdc742743d4ed57352857dd43e3ffacdfa75682", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002196", "prompt": "What is -42 * (0 - 887 * 6 + 9)?", "solution_steps": ["Multiply: 887 * 6 = 5322", "Subtract: 0 - 5322 = -5322", "Add: -5322 + 9 = -5313", "Multiply: -42 * (-5313) = 223146"], "final_answer": "223146", "answer_type": "integer", "kind": "expression", "math_text": "-42 * (0 - 887 * 6 + 9)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (- n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": 0, \"c\": 887, \"d\": 6, \"e\": 9}", "seed": "13292689979935966768", "semantic_fingerprint": "sha256:d291f5dc7676305043851d388707b1bec3e6ab0832173abdd4e5e52832aa0b76", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002197", "prompt": "Evaluate: (685 / 928 + 9) * (-11)", "solution_steps": ["Divide: 685 / 928 = 685/928", "Add: 685/928 + 9 = 9037/928", "Multiply: (9037/928) * (-11) = -99407/928"], "final_answer": "-99407/928", "answer_type": "rational", "kind": "expression", "math_text": "(685 / 928 + 9) * (-11)", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 685, \"b\": 928, \"c\": 9, \"d\": -11}", "seed": "13008802125017939213", "semantic_fingerprint": "sha256:d780e1cab7e8f10e1991fbfa22e177f9daf550eb10a39a28094e065053414c2a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002198", "prompt": "What value of x satisfies 2(x - 88) - 9 = -2(x - 30) - 293?", "solution_steps": ["Expand: 2x - 176 - 9 = -2(x - 30) - 293", "Expand: 2x - 176 - 9 = -2x + 60 - 293", "Combine constants: 2x - 185 = -2x + 60 - 293", "Combine constants: 2x - 185 = -2x - 233", "Add 2x to both sides: 4x - 185 = -233", "Add 185 to both sides: 4x = -48", "Divide both sides by 4: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 88) - 9 = -2(x - 30) - 293", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 88, \"c\": 9, \"d\": -2, \"e\": 30, \"g\": -293, \"x\": -12}", "seed": "3383779799368081747", "semantic_fingerprint": "sha256:3918b26416837991f1a61800c153af063c27ee5808b8a0f2920a4cb8864a1e81", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002199", "prompt": "Solve for x: -12(x + 5) - 82 = x - 51", "solution_steps": ["Expand: -12x - 60 - 82 = x - 51", "Combine constants: -12x - 142 = x - 51", "Subtract x from both sides: -13x - 142 = -51", "Add 142 to both sides: -13x = 91", "Divide both sides by -13: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 5) - 82 = x - 51", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 5, \"c\": 82, \"e\": -51, \"x\": -7}", "seed": "8437376942745598951", "semantic_fingerprint": "sha256:17711762e98775b42794cb0d2b74aa8e2da6a9a07fb065d5494d5ca3ba957447", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002200", "prompt": "Solve for x: 8(x + 77) - 8 = x - 6", "solution_steps": ["Expand: 8x + 616 - 8 = x - 6", "Combine constants: 8x + 608 = x - 6", "Subtract x from both sides: 7x + 608 = -6", "Subtract 608 from both sides: 7x = -614", "Divide both sides by 7: x = -614/7"], "final_answer": "-614/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 77) - 8 = x - 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 77, \"c\": 8, \"d\": 6}", "seed": "16205662161011069553", "semantic_fingerprint": "sha256:31ba7257dd772a0b6b3754d5c65fe65a8d38609b82f8b8caa0d68378c161484c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002201", "prompt": "Solve the equation 2(x + 1) - 174 = x - 178 for x.", "solution_steps": ["Expand: 2x + 2 - 174 = x - 178", "Combine constants: 2x - 172 = x - 178", "Subtract x from both sides: x - 172 = -178", "Add 172 to both sides: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 1) - 174 = x - 178", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 1, \"c\": 174, \"e\": -178, \"x\": -6}", "seed": "7096711623209740552", "semantic_fingerprint": "sha256:4c89925c8d4f828d93a76c6e5017e46773017de4324a8d5d1571a8aa73b01adc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002202", "prompt": "What is -22 / (-1) + 6 * (-989 + 7)?", "solution_steps": ["Divide: -22 / (-1) = 22", "Add: -989 + 7 = -982", "Multiply: 6 * (-982) = -5892", "Add: 22 + (-5892) = -5870"], "final_answer": "-5870", "answer_type": "integer", "kind": "expression", "math_text": "-22 / (-1) + 6 * (-989 + 7)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": -1, \"c\": 6, \"d\": -989, \"e\": 7}", "seed": "4080917286457216124", "semantic_fingerprint": "sha256:733c9306f79394164fd505288bcfaee30af5a856294bcd924dc2a001f946c27d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002203", "prompt": "Solve the equation x - 55 = 10(x - 5) + 4 for x.", "solution_steps": ["Expand: x - 55 = 10x - 50 + 4", "Combine constants: x - 55 = 10x - 46", "Subtract 10x from both sides: -9x - 55 = -46", "Add 55 to both sides: -9x = 9", "Divide both sides by -9: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 55 = 10(x - 5) + 4", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 10, \"c\": 5, \"d\": 4}", "seed": "10510323598747492745", "semantic_fingerprint": "sha256:5027dcd5309c80d69710e231a8cd3fd3d0467aa04c8764277edc12555b9bbc53", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002204", "prompt": "Solve for x: x - 69 = 11(x - 29) + 60", "solution_steps": ["Expand: x - 69 = 11x - 319 + 60", "Combine constants: x - 69 = 11x - 259", "Subtract 11x from both sides: -10x - 69 = -259", "Add 69 to both sides: -10x = -190", "Divide both sides by -10: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 69 = 11(x - 29) + 60", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 11, \"c\": 29, \"e\": 60, \"x\": 19}", "seed": "719348503375401230", "semantic_fingerprint": "sha256:7de0078c1cb526b77aa6a3b59442bbe625cc82e66d800860ec953ac3d4fbaded", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002205", "prompt": "Solve for x: x - 67 = 9(x - 2) + 15", "solution_steps": ["Expand: x - 67 = 9x - 18 + 15", "Combine constants: x - 67 = 9x - 3", "Subtract 9x from both sides: -8x - 67 = -3", "Add 67 to both sides: -8x = 64", "Divide both sides by -8: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 67 = 9(x - 2) + 15", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 9, \"c\": 2, \"e\": 15, \"x\": -8}", "seed": "5200326617105042472", "semantic_fingerprint": "sha256:a44bb0f5fab3b2bd03e93e44b2cf92a36c9d62f087ba77a53f1beb21a74382a4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002206", "prompt": "What is -49 + (359 * 411 - (-156))?", "solution_steps": ["Multiply: 359 * 411 = 147549", "Subtract: 147549 - (-156) = 147705", "Add: -49 + 147705 = 147656"], "final_answer": "147656", "answer_type": "integer", "kind": "expression", "math_text": "-49 + (359 * 411 - (-156))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": 359, \"c\": 411, \"d\": -156}", "seed": "16436953308127948670", "semantic_fingerprint": "sha256:2c2c44154c94f1404e4fe028b437ce95d3cd6ef130a02b80c0146fcf646afc3c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002207", "prompt": "Evaluate: -669 * (72 / (-687) / 14)", "solution_steps": ["Divide: 72 / (-687) = -24/229", "Divide: (-24/229) / 14 = -12/1603", "Multiply: -669 * (-12/1603) = 8028/1603"], "final_answer": "8028/1603", "answer_type": "rational", "kind": "expression", "math_text": "-669 * (72 / (-687) / 14)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -669, \"b\": 72, \"c\": -687, \"d\": 14}", "seed": "10472231749402706400", "semantic_fingerprint": "sha256:87192f5c713a66442052bff536e9602969f605c4fee18d5e7ebce6072c8bd9b2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002208", "prompt": "What is 81 - (-7) / (347 / 4)?", "solution_steps": ["Divide: 347 / 4 = 347/4", "Divide: -7 / (347/4) = -28/347", "Subtract: 81 - (-28/347) = 28135/347"], "final_answer": "28135/347", "answer_type": "rational", "kind": "expression", "math_text": "81 - (-7) / (347 / 4)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": -7, \"c\": 347, \"d\": 4}", "seed": "13477630573225201449", "semantic_fingerprint": "sha256:5521bf77563b053d0ac0e9ac2420811a217ebac2800c2e318036eccd78fb5dd5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002209", "prompt": "Solve the equation 10(x - 33) = 6x - 374 for x.", "solution_steps": ["Expand: 10x - 330 = 6x - 374", "Subtract 6x from both sides: 4x - 330 = -374", "Add 330 to both sides: 4x = -44", "Divide both sides by 4: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 33) = 6x - 374", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 33, \"c\": 6, \"e\": -374, \"x\": -11}", "seed": "5272391156721872023", "semantic_fingerprint": "sha256:c9db2099d7a0b40954b9a4a0ac6128bab8c2f59ff9fba436efb92f413a03a7f2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002210", "prompt": "Compute: 5 * (-69 * (-55)) - 959", "solution_steps": ["Multiply: -69 * (-55) = 3795", "Multiply: 5 * 3795 = 18975", "Subtract: 18975 - 959 = 18016"], "final_answer": "18016", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-69 * (-55)) - 959", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -69, \"c\": -55, \"d\": 959}", "seed": "11766489430161100978", "semantic_fingerprint": "sha256:72ba3a7135b105b68761966308404f45996f5e30d91124ac81dfd5a802789d3c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002211", "prompt": "Solve the equation -11(x - 168) - 127 = 12(x - 7) for x.", "solution_steps": ["Expand: -11x + 1848 - 127 = 12(x - 7)", "Expand: -11x + 1848 - 127 = 12x - 84", "Combine constants: -11x + 1721 = 12x - 84", "Subtract 12x from both sides: -23x + 1721 = -84", "Subtract 1721 from both sides: -23x = -1805", "Divide both sides by -23: x = 1805/23"], "final_answer": "1805/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 168) - 127 = 12(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 168, \"c\": 127, \"d\": 12, \"e\": 7}", "seed": "1748991648326199793", "semantic_fingerprint": "sha256:9b7fc964361519c5cb07a9de9be0b051b14c4a5c96f9496d2028e11dd3db6713", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002212", "prompt": "Evaluate: -14 / (2 - (-89) - 84)", "solution_steps": ["Subtract: 2 - (-89) = 91", "Subtract: 91 - 84 = 7", "Divide: -14 / 7 = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "expression", "math_text": "-14 / (2 - (-89) - 84)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": 2, \"c\": -89, \"d\": 84}", "seed": "1113657310282437769", "semantic_fingerprint": "sha256:b3448b9a0b6ad88a86a5b5c8451a0cb5dc812b746db489723f4bb0bebdb72687", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002213", "prompt": "Solve for x: 9(x - 98) + 6 = 8x + 570", "solution_steps": ["Expand: 9x - 882 + 6 = 8x + 570", "Combine constants: 9x - 876 = 8x + 570", "Subtract 8x from both sides: x - 876 = 570", "Add 876 to both sides: x = 1446"], "final_answer": "1446", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 98) + 6 = 8x + 570", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 98, \"c\": 6, \"d\": 8, \"e\": 570}", "seed": "12956905845870677361", "semantic_fingerprint": "sha256:a223d27466dde32a54a8d3dba7763a425551210ff2cd1cd58ef48aea99f5afbc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002214", "prompt": "Calculate: (8 - 40) * (61 * 8) / (80 / 62)", "solution_steps": ["Subtract: 8 - 40 = -32", "Multiply: 61 * 8 = 488", "Multiply: -32 * 488 = -15616", "Divide: 80 / 62 = 40/31", "Divide: -15616 / (40/31) = -60512/5"], "final_answer": "-60512/5", "answer_type": "rational", "kind": "expression", "math_text": "(8 - 40) * (61 * 8) / (80 / 62)", "variable": null, "family": "expression_5op", "shape": "(/ (* (- n n) (* n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 40, \"c\": 61, \"d\": 8, \"e\": 80, \"f\": 62}", "seed": "11810951933784843175", "semantic_fingerprint": "sha256:094802d640d6caf5afa3a6a6b2859cd04b6719910c2c3e721464f1ad3190c122", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002215", "prompt": "Calculate: (493 + 73 * 32) * (0 - 68)", "solution_steps": ["Multiply: 73 * 32 = 2336", "Add: 493 + 2336 = 2829", "Subtract: 0 - 68 = -68", "Multiply: 2829 * (-68) = -192372"], "final_answer": "-192372", "answer_type": "integer", "kind": "expression", "math_text": "(493 + 73 * 32) * (0 - 68)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 493, \"b\": 73, \"c\": 32, \"d\": 0, \"e\": 68}", "seed": "7508007407086510538", "semantic_fingerprint": "sha256:fb5da87704e222d63f6d6dd6413c4effd1dc337cb6ca16bce33988c376c25bdf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002216", "prompt": "What value of x satisfies x - 27 = 12(x - 61) + 925?", "solution_steps": ["Expand: x - 27 = 12x - 732 + 925", "Combine constants: x - 27 = 12x + 193", "Subtract 12x from both sides: -11x - 27 = 193", "Add 27 to both sides: -11x = 220", "Divide both sides by -11: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 27 = 12(x - 61) + 925", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": 12, \"c\": 61, \"e\": 925, \"x\": -20}", "seed": "3924434626813037604", "semantic_fingerprint": "sha256:8a2156753291a4659866102ffa243ea7cd0ae6e31af3c452551c5edd93634064", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002217", "prompt": "Solve for x: 11(x - 1) + 2 = 6x + 96", "solution_steps": ["Expand: 11x - 11 + 2 = 6x + 96", "Combine constants: 11x - 9 = 6x + 96", "Subtract 6x from both sides: 5x - 9 = 96", "Add 9 to both sides: 5x = 105", "Divide both sides by 5: x = 21"], "final_answer": "21", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 1) + 2 = 6x + 96", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 1, \"c\": 2, \"d\": 6, \"e\": 96}", "seed": "708548832713124075", "semantic_fingerprint": "sha256:2572212771eb18ac4c6fd901cc20faefa31e60926c8c06e2dcabd6cc63310651", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002218", "prompt": "What is (-9 - 47 + (-490)) * 0?", "solution_steps": ["Subtract: -9 - 47 = -56", "Add: -56 + (-490) = -546", "Multiply: -546 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-9 - 47 + (-490)) * 0", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 47, \"c\": -490, \"d\": 0}", "seed": "6873332865949325293", "semantic_fingerprint": "sha256:d2be7595f42a418a59145779b8b4734e8a60933ecf412d235e1b016aecad1863", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002219", "prompt": "Solve the equation -4(x - 311) + 213 = -12(x - 5) for x.", "solution_steps": ["Expand: -4x + 1244 + 213 = -12(x - 5)", "Expand: -4x + 1244 + 213 = -12x + 60", "Combine constants: -4x + 1457 = -12x + 60", "Add 12x to both sides: 8x + 1457 = 60", "Subtract 1457 from both sides: 8x = -1397", "Divide both sides by 8: x = -1397/8"], "final_answer": "-1397/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 311) + 213 = -12(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 311, \"c\": 213, \"d\": -12, \"e\": 5}", "seed": "12189249247902427784", "semantic_fingerprint": "sha256:373d89478b698136e2ef8d6be1e5c77b776d36ed3b940479872481ec44621a5d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002220", "prompt": "Compute: -96 * (-30 - 2 * (-19)) * (-95)", "solution_steps": ["Multiply: 2 * (-19) = -38", "Subtract: -30 - (-38) = 8", "Multiply: -96 * 8 = -768", "Multiply: -768 * (-95) = 72960"], "final_answer": "72960", "answer_type": "integer", "kind": "expression", "math_text": "-96 * (-30 - 2 * (-19)) * (-95)", "variable": null, "family": "expression_4op", "shape": "(* (* n (- n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": -30, \"c\": 2, \"d\": -19, \"e\": -95}", "seed": "6423262441652929405", "semantic_fingerprint": "sha256:155d9328545c04aeb4fb1b4792b62129637ed9fc7dd699bc0644c71d5e46b289", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002221", "prompt": "Evaluate: -301 - (-99 * (-30) + 34)", "solution_steps": ["Multiply: -99 * (-30) = 2970", "Add: 2970 + 34 = 3004", "Subtract: -301 - 3004 = -3305"], "final_answer": "-3305", "answer_type": "integer", "kind": "expression", "math_text": "-301 - (-99 * (-30) + 34)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -301, \"b\": -99, \"c\": -30, \"d\": 34}", "seed": "2178969150396480187", "semantic_fingerprint": "sha256:530bcf8a170c2544a3453f054f29d66b57f7843381a7a15b20784e848c5fc5e1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002222", "prompt": "Evaluate: (14 + (-650) + (-6 + (-1))) / 7", "solution_steps": ["Add: 14 + (-650) = -636", "Add: -6 + (-1) = -7", "Add: -636 + (-7) = -643", "Divide: -643 / 7 = -643/7"], "final_answer": "-643/7", "answer_type": "rational", "kind": "expression", "math_text": "(14 + (-650) + (-6 + (-1))) / 7", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -650, \"c\": -6, \"d\": -1, \"e\": 7}", "seed": "3033573560625678252", "semantic_fingerprint": "sha256:acfe874dc98f3d63ccd2e2ae0ea2e6a9db8d89a6f5934ced76e580df0649789a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002223", "prompt": "Evaluate: -97 - (1 + 2) / (881 * 2)", "solution_steps": ["Add: 1 + 2 = 3", "Multiply: 881 * 2 = 1762", "Divide: 3 / 1762 = 3/1762", "Subtract: -97 - 3/1762 = -170917/1762"], "final_answer": "-170917/1762", "answer_type": "rational", "kind": "expression", "math_text": "-97 - (1 + 2) / (881 * 2)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": 1, \"c\": 2, \"d\": 881, \"e\": 2}", "seed": "4875276463836308373", "semantic_fingerprint": "sha256:8974c8c8fad7cf8e266edcf4c329f0d3ca44932df88b96e5a6a699cc3a6e4491", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002224", "prompt": "What value of x satisfies 6(x - 56) + 5 = 9(x + 60) - 352?", "solution_steps": ["Expand: 6x - 336 + 5 = 9(x + 60) - 352", "Expand: 6x - 336 + 5 = 9x + 540 - 352", "Combine constants: 6x - 331 = 9x + 540 - 352", "Combine constants: 6x - 331 = 9x + 188", "Subtract 9x from both sides: -3x - 331 = 188", "Add 331 to both sides: -3x = 519", "Divide both sides by -3: x = -173"], "final_answer": "-173", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 56) + 5 = 9(x + 60) - 352", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 56, \"c\": 5, \"d\": 9, \"e\": 60, \"f\": 352}", "seed": "3724854117794225911", "semantic_fingerprint": "sha256:39b92be5ea4cbc32c55be0913304b1a8f9cf82b7f4a335af394f9c9c17731f8a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002225", "prompt": "Find x: 10(x - 26) = 4x - 278", "solution_steps": ["Expand: 10x - 260 = 4x - 278", "Subtract 4x from both sides: 6x - 260 = -278", "Add 260 to both sides: 6x = -18", "Divide both sides by 6: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 26) = 4x - 278", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 26, \"c\": 4, \"e\": -278, \"x\": -3}", "seed": "4182333966959609234", "semantic_fingerprint": "sha256:42c573a144a16dcdaf1f1dcf08b2ada47e2a685cad4a305607edd7146b33cfc7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002226", "prompt": "Solve for x: -2(x - 9) = -4x - 6", "solution_steps": ["Expand: -2x + 18 = -4x - 6", "Add 4x to both sides: 2x + 18 = -6", "Subtract 18 from both sides: 2x = -24", "Divide both sides by 2: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 9) = -4x - 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 9, \"c\": -4, \"e\": -6, \"x\": -12}", "seed": "1484560574322104045", "semantic_fingerprint": "sha256:11d1d27b312a25a4b07ca77fe69a433f2d2168a67c14c4234e8b733a0dc11b64", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002227", "prompt": "Compute: -73 + (-51) - (-824) + 46", "solution_steps": ["Add: -73 + (-51) = -124", "Subtract: -124 - (-824) = 700", "Add: 700 + 46 = 746"], "final_answer": "746", "answer_type": "integer", "kind": "expression", "math_text": "-73 + (-51) - (-824) + 46", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": -51, \"c\": -824, \"d\": 46}", "seed": "10396427046861008417", "semantic_fingerprint": "sha256:67cb286f0894fd58ef0fbd18533b1fd2110fca850ca4045f0c0f73c1374ac81b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002228", "prompt": "Compute: 51 * (-72) / (-5) / (2 * (-278) + 38)", "solution_steps": ["Multiply: 51 * (-72) = -3672", "Divide: -3672 / (-5) = 3672/5", "Multiply: 2 * (-278) = -556", "Add: -556 + 38 = -518", "Divide: (3672/5) / (-518) = -1836/1295"], "final_answer": "-1836/1295", "answer_type": "rational", "kind": "expression", "math_text": "51 * (-72) / (-5) / (2 * (-278) + 38)", "variable": null, "family": "expression_5op", "shape": "(/ (/ (* n n) n) (+ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -72, \"c\": -5, \"d\": 2, \"e\": -278, \"f\": 38}", "seed": "10841292352632973015", "semantic_fingerprint": "sha256:d407647a65f951bb4822672db3f0e5c1b92e5a32f1c37433ab68a666f0fede0b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002229", "prompt": "Evaluate: -17 / (-71) - (-868) - (-71)", "solution_steps": ["Divide: -17 / (-71) = 17/71", "Subtract: 17/71 - (-868) = 61645/71", "Subtract: 61645/71 - (-71) = 66686/71"], "final_answer": "66686/71", "answer_type": "rational", "kind": "expression", "math_text": "-17 / (-71) - (-868) - (-71)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": -71, \"c\": -868, \"d\": -71}", "seed": "314654803781622529", "semantic_fingerprint": "sha256:0efd72cf9cec463995053e7f3f96f9d2a2ce5ec85e7fad3e0fbca8d12ce2b20e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002230", "prompt": "What value of x satisfies 12(x - 5) + 94 = -6(x - 4)?", "solution_steps": ["Expand: 12x - 60 + 94 = -6(x - 4)", "Expand: 12x - 60 + 94 = -6x + 24", "Combine constants: 12x + 34 = -6x + 24", "Add 6x to both sides: 18x + 34 = 24", "Subtract 34 from both sides: 18x = -10", "Divide both sides by 18: x = -5/9"], "final_answer": "-5/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 5) + 94 = -6(x - 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 94, \"d\": -6, \"e\": 4}", "seed": "2549222891415905724", "semantic_fingerprint": "sha256:250a13b56cfdb962664e75d4e34b2dd4f326e74e07b55c934da5dd4ccb51e02d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002231", "prompt": "What is (535 + (-7) - 85) / (52 / 73)?", "solution_steps": ["Add: 535 + (-7) = 528", "Subtract: 528 - 85 = 443", "Divide: 52 / 73 = 52/73", "Divide: 443 / (52/73) = 32339/52"], "final_answer": "32339/52", "answer_type": "rational", "kind": "expression", "math_text": "(535 + (-7) - 85) / (52 / 73)", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 535, \"b\": -7, \"c\": 85, \"d\": 52, \"e\": 73}", "seed": "5596199270823738662", "semantic_fingerprint": "sha256:d6bdbf1dccdfdb757316078d82ba66700c1932d68b09a53c8888d8106ec2449c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002232", "prompt": "Compute: -747 - (-74) / ((-3 - 0) / (40 + (-97)))", "solution_steps": ["Subtract: -3 - 0 = -3", "Add: 40 + (-97) = -57", "Divide: -3 / (-57) = 1/19", "Divide: -74 / (1/19) = -1406", "Subtract: -747 - (-1406) = 659"], "final_answer": "659", "answer_type": "integer", "kind": "expression", "math_text": "-747 - (-74) / ((-3 - 0) / (40 + (-97)))", "variable": null, "family": "expression_5op", "shape": "(- n (/ n (/ (- n n) (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -747, \"b\": -74, \"c\": -3, \"d\": 0, \"e\": 40, \"f\": -97}", "seed": "5350593380859846158", "semantic_fingerprint": "sha256:a6e666679777e914c3bd2df40f742ccf15f31b32e50b7e2e8389db054c749843", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002233", "prompt": "Find x: 3(x - 17) - 6 = 4(x - 7) - 29", "solution_steps": ["Expand: 3x - 51 - 6 = 4(x - 7) - 29", "Expand: 3x - 51 - 6 = 4x - 28 - 29", "Combine constants: 3x - 57 = 4x - 28 - 29", "Combine constants: 3x - 57 = 4x - 57", "Subtract 4x from both sides: -x - 57 = -57", "Add 57 to both sides: -x = 0", "Divide both sides by -1: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 17) - 6 = 4(x - 7) - 29", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 17, \"c\": 6, \"d\": 4, \"e\": 7, \"g\": -29, \"x\": 0}", "seed": "14178793367820319212", "semantic_fingerprint": "sha256:a3673e0b6661b01656a4a77d5f19b4a071e46de6ccce735f45d8edbc954b2e92", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002234", "prompt": "Calculate: (-37 - 790) * (570 / (-459))", "solution_steps": ["Subtract: -37 - 790 = -827", "Divide: 570 / (-459) = -190/153", "Multiply: -827 * (-190/153) = 157130/153"], "final_answer": "157130/153", "answer_type": "rational", "kind": "expression", "math_text": "(-37 - 790) * (570 / (-459))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": 790, \"c\": 570, \"d\": -459}", "seed": "1378751873924314874", "semantic_fingerprint": "sha256:4b953538977fab0ed500ba7f11f16f0b02091a95180db4bd809dc722d8d788c4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002235", "prompt": "Evaluate: 4 + (30 + (9 + (-53)) + (-804) / 36)", "solution_steps": ["Add: 9 + (-53) = -44", "Add: 30 + (-44) = -14", "Divide: -804 / 36 = -67/3", "Add: -14 + (-67/3) = -109/3", "Add: 4 + (-109/3) = -97/3"], "final_answer": "-97/3", "answer_type": "rational", "kind": "expression", "math_text": "4 + (30 + (9 + (-53)) + (-804) / 36)", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (+ n (+ n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 30, \"c\": 9, \"d\": -53, \"e\": -804, \"f\": 36}", "seed": "12506301032806789330", "semantic_fingerprint": "sha256:c78be4e81e357210029a13c9367e49dd83054fce81ad9c998cd844c3b2e60c61", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002236", "prompt": "Solve for x: x - 851 = 10(x - 705) + 37", "solution_steps": ["Expand: x - 851 = 10x - 7050 + 37", "Combine constants: x - 851 = 10x - 7013", "Subtract 10x from both sides: -9x - 851 = -7013", "Add 851 to both sides: -9x = -6162", "Divide both sides by -9: x = 2054/3"], "final_answer": "2054/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 851 = 10(x - 705) + 37", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 851, \"b\": 10, \"c\": 705, \"d\": 37}", "seed": "8275825607295838428", "semantic_fingerprint": "sha256:26f18a749afb58d8a43b25e13568b1daa2985b60d963a2962230a96855747cf2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002237", "prompt": "Solve for x: 3(x - 53) = -8x - 16", "solution_steps": ["Expand: 3x - 159 = -8x - 16", "Add 8x to both sides: 11x - 159 = -16", "Add 159 to both sides: 11x = 143", "Divide both sides by 11: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 53) = -8x - 16", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 53, \"c\": -8, \"e\": -16, \"x\": 13}", "seed": "3021440192921680572", "semantic_fingerprint": "sha256:8197bae77487ab74eb353eba7a9b3b30226ec734547857d2494eab4155347808", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002238", "prompt": "What is -6 - 84 * 90 + 60 + 32?", "solution_steps": ["Multiply: 84 * 90 = 7560", "Subtract: -6 - 7560 = -7566", "Add: -7566 + 60 = -7506", "Add: -7506 + 32 = -7474"], "final_answer": "-7474", "answer_type": "integer", "kind": "expression", "math_text": "-6 - 84 * 90 + 60 + 32", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 84, \"c\": 90, \"d\": 60, \"e\": 32}", "seed": "12629406518612645692", "semantic_fingerprint": "sha256:d416c664af3d460a4718e2648f2e8ee2da2e8493de5f4f86c3c1c09b38c292b7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002239", "prompt": "Calculate: (82 * (-632) - 3) / (75 / 10)", "solution_steps": ["Multiply: 82 * (-632) = -51824", "Subtract: -51824 - 3 = -51827", "Divide: 75 / 10 = 15/2", "Divide: -51827 / (15/2) = -103654/15"], "final_answer": "-103654/15", "answer_type": "rational", "kind": "expression", "math_text": "(82 * (-632) - 3) / (75 / 10)", "variable": null, "family": "expression_4op", "shape": "(/ (- (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": -632, \"c\": 3, \"d\": 75, \"e\": 10}", "seed": "8396638354525644238", "semantic_fingerprint": "sha256:29fac10bd5540eb569e646a4ad138ba8d1374cf8a242710baf673ae92507aa4f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002240", "prompt": "Solve for x: 11(x - 1) - 1 = -8(x - 83) - 809", "solution_steps": ["Expand: 11x - 11 - 1 = -8(x - 83) - 809", "Expand: 11x - 11 - 1 = -8x + 664 - 809", "Combine constants: 11x - 12 = -8x + 664 - 809", "Combine constants: 11x - 12 = -8x - 145", "Add 8x to both sides: 19x - 12 = -145", "Add 12 to both sides: 19x = -133", "Divide both sides by 19: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 1) - 1 = -8(x - 83) - 809", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 1, \"c\": 1, \"d\": -8, \"e\": 83, \"g\": -809, \"x\": -7}", "seed": "11419169049696923722", "semantic_fingerprint": "sha256:66628cfe5d7a00992a1145ef1ae74cd8e4332031f2a880cc35c60a751ff4dc71", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002241", "prompt": "Find x: 7(x + 68) - 58 = x - 537", "solution_steps": ["Expand: 7x + 476 - 58 = x - 537", "Combine constants: 7x + 418 = x - 537", "Subtract x from both sides: 6x + 418 = -537", "Subtract 418 from both sides: 6x = -955", "Divide both sides by 6: x = -955/6"], "final_answer": "-955/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 68) - 58 = x - 537", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 68, \"c\": 58, \"d\": 537}", "seed": "17295879672614301111", "semantic_fingerprint": "sha256:b072725137c7494acc9dbabcc0f61ef197afa212e0c40b1ca45a69e91d836140", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002242", "prompt": "Calculate: (58 + (-89)) / (-591 - 2) + 72", "solution_steps": ["Add: 58 + (-89) = -31", "Subtract: -591 - 2 = -593", "Divide: -31 / (-593) = 31/593", "Add: 31/593 + 72 = 42727/593"], "final_answer": "42727/593", "answer_type": "rational", "kind": "expression", "math_text": "(58 + (-89)) / (-591 - 2) + 72", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": -89, \"c\": -591, \"d\": 2, \"e\": 72}", "seed": "7759320821028626652", "semantic_fingerprint": "sha256:4678821cc6918ef428c8c2721fcc6ec1c540886e06510993acf51d150a5f88b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002243", "prompt": "Solve for x: 6(x - 70) + 22 = 5(x + 325) - 75", "solution_steps": ["Expand: 6x - 420 + 22 = 5(x + 325) - 75", "Expand: 6x - 420 + 22 = 5x + 1625 - 75", "Combine constants: 6x - 398 = 5x + 1625 - 75", "Combine constants: 6x - 398 = 5x + 1550", "Subtract 5x from both sides: x - 398 = 1550", "Add 398 to both sides: x = 1948"], "final_answer": "1948", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 70) + 22 = 5(x + 325) - 75", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 70, \"c\": 22, \"d\": 5, \"e\": 325, \"f\": 75}", "seed": "9655258985840181253", "semantic_fingerprint": "sha256:4aaa6d3bc3981430f9b2d6ff75ec90ff43ea81e2541fad6609749ffe97485f27", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002244", "prompt": "Calculate: (-81 + (-71)) * (-60 + (-827) + (-956 + (-97)))", "solution_steps": ["Add: -81 + (-71) = -152", "Add: -60 + (-827) = -887", "Add: -956 + (-97) = -1053", "Add: -887 + (-1053) = -1940", "Multiply: -152 * (-1940) = 294880"], "final_answer": "294880", "answer_type": "integer", "kind": "expression", "math_text": "(-81 + (-71)) * (-60 + (-827) + (-956 + (-97)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (+ (+ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": -71, \"c\": -60, \"d\": -827, \"e\": -956, \"f\": -97}", "seed": "4316550970389994469", "semantic_fingerprint": "sha256:44de53424d304fbc2870872a5ea1413663cc10f69a185b5dd891ef72f85fe03b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002245", "prompt": "Compute: (-1 - (8 + 3)) * 427 / 72", "solution_steps": ["Add: 8 + 3 = 11", "Subtract: -1 - 11 = -12", "Multiply: -12 * 427 = -5124", "Divide: -5124 / 72 = -427/6"], "final_answer": "-427/6", "answer_type": "rational", "kind": "expression", "math_text": "(-1 - (8 + 3)) * 427 / 72", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 8, \"c\": 3, \"d\": 427, \"e\": 72}", "seed": "6185641184349159102", "semantic_fingerprint": "sha256:6d29da3565daaec94eedca44aafa5903f54d365c88db87474791f62fa9384158", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002246", "prompt": "Calculate: -58 / (-5) + (-2) / 16", "solution_steps": ["Divide: -58 / (-5) = 58/5", "Divide: -2 / 16 = -1/8", "Add: 58/5 + (-1/8) = 459/40"], "final_answer": "459/40", "answer_type": "rational", "kind": "expression", "math_text": "-58 / (-5) + (-2) / 16", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": -5, \"c\": -2, \"d\": 16}", "seed": "4497249635707532230", "semantic_fingerprint": "sha256:31260fcf2730bbfbc9beebff639f501cb9a7b14deeaa43f7f2824c0eb6e71943", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002247", "prompt": "What value of x satisfies 10(x - 77) + 673 = 5x + 134?", "solution_steps": ["Expand: 10x - 770 + 673 = 5x + 134", "Combine constants: 10x - 97 = 5x + 134", "Subtract 5x from both sides: 5x - 97 = 134", "Add 97 to both sides: 5x = 231", "Divide both sides by 5: x = 231/5"], "final_answer": "231/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 77) + 673 = 5x + 134", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 77, \"c\": 673, \"d\": 5, \"e\": 134}", "seed": "16192277192383531411", "semantic_fingerprint": "sha256:8dcb49d9cb997963dc598d31ec41a0f7bd92b1498d7095a66cdb90def94d9631", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002248", "prompt": "Evaluate: ((18 + 0) * (-9) - 69) / 4", "solution_steps": ["Add: 18 + 0 = 18", "Multiply: 18 * (-9) = -162", "Subtract: -162 - 69 = -231", "Divide: -231 / 4 = -231/4"], "final_answer": "-231/4", "answer_type": "rational", "kind": "expression", "math_text": "((18 + 0) * (-9) - 69) / 4", "variable": null, "family": "expression_4op", "shape": "(/ (- (* (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 0, \"c\": -9, \"d\": 69, \"e\": 4}", "seed": "15357135953756022969", "semantic_fingerprint": "sha256:1b034cf7f5a7094eb91d5f94cb0038e211469cd36f8a7246c5cff283c7a75ac8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002249", "prompt": "Calculate: 0 - (-9 + (-45)) + (-24)", "solution_steps": ["Add: -9 + (-45) = -54", "Subtract: 0 - (-54) = 54", "Add: 54 + (-24) = 30"], "final_answer": "30", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-9 + (-45)) + (-24)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -9, \"c\": -45, \"d\": -24}", "seed": "1618684641228374746", "semantic_fingerprint": "sha256:b3e7f2239c2a71c0125bac4f3f1eed20cfe496dd29fcf5294f449bf1757fb440", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002250", "prompt": "Find x: -8(x - 66) + 228 = 3x + 547", "solution_steps": ["Expand: -8x + 528 + 228 = 3x + 547", "Combine constants: -8x + 756 = 3x + 547", "Subtract 3x from both sides: -11x + 756 = 547", "Subtract 756 from both sides: -11x = -209", "Divide both sides by -11: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 66) + 228 = 3x + 547", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 66, \"c\": 228, \"d\": 3, \"f\": 547, \"x\": 19}", "seed": "10776805830390156573", "semantic_fingerprint": "sha256:5a225e1b4efb3d8cec61561fe20e2420c396a7447eba8f68b4300abc45ea435f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002251", "prompt": "Solve the equation -12(x - 4) - 9 = 8(x - 6) - 173 for x.", "solution_steps": ["Expand: -12x + 48 - 9 = 8(x - 6) - 173", "Expand: -12x + 48 - 9 = 8x - 48 - 173", "Combine constants: -12x + 39 = 8x - 48 - 173", "Combine constants: -12x + 39 = 8x - 221", "Subtract 8x from both sides: -20x + 39 = -221", "Subtract 39 from both sides: -20x = -260", "Divide both sides by -20: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 4) - 9 = 8(x - 6) - 173", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 4, \"c\": 9, \"d\": 8, \"e\": 6, \"g\": -173, \"x\": 13}", "seed": "17669035253458303609", "semantic_fingerprint": "sha256:85716cb14928fa9700d3dc0ce9c149ec9c95a993b2d881081bcc1acd00459092", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002252", "prompt": "Solve the equation 7(x - 36) + 9 = 4(x - 15) for x.", "solution_steps": ["Expand: 7x - 252 + 9 = 4(x - 15)", "Expand: 7x - 252 + 9 = 4x - 60", "Combine constants: 7x - 243 = 4x - 60", "Subtract 4x from both sides: 3x - 243 = -60", "Add 243 to both sides: 3x = 183", "Divide both sides by 3: x = 61"], "final_answer": "61", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 36) + 9 = 4(x - 15)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 36, \"c\": 9, \"d\": 4, \"e\": 15}", "seed": "9985647290639668931", "semantic_fingerprint": "sha256:237c14d371a83e3ae51ae8916843ddc42bb548b2d628fd7076364fc289f24fbe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002253", "prompt": "Compute: -2 + (-2) * (-932 / (-20 - (916 + (-52))))", "solution_steps": ["Add: 916 + (-52) = 864", "Subtract: -20 - 864 = -884", "Divide: -932 / (-884) = 233/221", "Multiply: -2 * (233/221) = -466/221", "Add: -2 + (-466/221) = -908/221"], "final_answer": "-908/221", "answer_type": "rational", "kind": "expression", "math_text": "-2 + (-2) * (-932 / (-20 - (916 + (-52))))", "variable": null, "family": "expression_5op", "shape": "(+ n (* n (/ n (- n (+ n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -2, \"c\": -932, \"d\": -20, \"e\": 916, \"f\": -52}", "seed": "4076553818177277047", "semantic_fingerprint": "sha256:93ff2e0512e93376c37d44117ab7292da40f18ed7aea459a495a2835f7bd03e5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002254", "prompt": "Evaluate: 50 - (2 - (-596 - (-96)))", "solution_steps": ["Subtract: -596 - (-96) = -500", "Subtract: 2 - (-500) = 502", "Subtract: 50 - 502 = -452"], "final_answer": "-452", "answer_type": "integer", "kind": "expression", "math_text": "50 - (2 - (-596 - (-96)))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": 2, \"c\": -596, \"d\": -96}", "seed": "13703583800801873990", "semantic_fingerprint": "sha256:17598a2a4f951b38a3fde9022724e66cd6b9f64ed6875e62737c8d560098ce22", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002255", "prompt": "Evaluate: 66 / (-62) - 440 - (-2)", "solution_steps": ["Divide: 66 / (-62) = -33/31", "Subtract: -33/31 - 440 = -13673/31", "Subtract: -13673/31 - (-2) = -13611/31"], "final_answer": "-13611/31", "answer_type": "rational", "kind": "expression", "math_text": "66 / (-62) - 440 - (-2)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -62, \"c\": 440, \"d\": -2}", "seed": "12841667004725632595", "semantic_fingerprint": "sha256:a3214ae595f307dbaf88e63719ea85d5fb7ba82ac44fc498482d842e058b9c4d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002256", "prompt": "What is 8 - (-2) / (-3) / (65 / 38)?", "solution_steps": ["Divide: -2 / (-3) = 2/3", "Divide: 65 / 38 = 65/38", "Divide: (2/3) / (65/38) = 76/195", "Subtract: 8 - 76/195 = 1484/195"], "final_answer": "1484/195", "answer_type": "rational", "kind": "expression", "math_text": "8 - (-2) / (-3) / (65 / 38)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (/ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -2, \"c\": -3, \"d\": 65, \"e\": 38}", "seed": "7790003216219657258", "semantic_fingerprint": "sha256:4db5bd3e6dfb7254948bf522d30f41eb19a42aea66811f41880d61a8656ca56c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002257", "prompt": "Compute: 96 * (-6) + (-36 - (-5) / (-9))", "solution_steps": ["Multiply: 96 * (-6) = -576", "Divide: -5 / (-9) = 5/9", "Subtract: -36 - 5/9 = -329/9", "Add: -576 + (-329/9) = -5513/9"], "final_answer": "-5513/9", "answer_type": "rational", "kind": "expression", "math_text": "96 * (-6) + (-36 - (-5) / (-9))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": -6, \"c\": -36, \"d\": -5, \"e\": -9}", "seed": "15478810123169290482", "semantic_fingerprint": "sha256:f2f1d7a8155867ffa31dd415903c9a61a09483b939b25cc2417452066823fcf8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002258", "prompt": "Calculate: 64 / (92 - 93 - (-62))", "solution_steps": ["Subtract: 92 - 93 = -1", "Subtract: -1 - (-62) = 61", "Divide: 64 / 61 = 64/61"], "final_answer": "64/61", "answer_type": "rational", "kind": "expression", "math_text": "64 / (92 - 93 - (-62))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": 92, \"c\": 93, \"d\": -62}", "seed": "5370142073527466607", "semantic_fingerprint": "sha256:97043cfd6c0e45a15251d2848ba971c6a1ce69e3275af18011a2af60240752ea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002259", "prompt": "Evaluate: (-8 + 48 + 28) * (-2)", "solution_steps": ["Add: -8 + 48 = 40", "Add: 40 + 28 = 68", "Multiply: 68 * (-2) = -136"], "final_answer": "-136", "answer_type": "integer", "kind": "expression", "math_text": "(-8 + 48 + 28) * (-2)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 48, \"c\": 28, \"d\": -2}", "seed": "12163015608885456329", "semantic_fingerprint": "sha256:d58162e997cfeba70ef8c6744eabc83ec4ecdb44aa137e0381e4e9ffcbf89683", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002260", "prompt": "Solve the equation 6(x - 11) - 865 = 9(x - 8) for x.", "solution_steps": ["Expand: 6x - 66 - 865 = 9(x - 8)", "Expand: 6x - 66 - 865 = 9x - 72", "Combine constants: 6x - 931 = 9x - 72", "Subtract 9x from both sides: -3x - 931 = -72", "Add 931 to both sides: -3x = 859", "Divide both sides by -3: x = -859/3"], "final_answer": "-859/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 11) - 865 = 9(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 11, \"c\": 865, \"d\": 9, \"e\": 8}", "seed": "2931907082966071519", "semantic_fingerprint": "sha256:983b888bd48843eebceebbe14b1789d2d673a6d64aefdaf0545b94add6acfd57", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002261", "prompt": "Evaluate: -687 - (800 + 340) + 39", "solution_steps": ["Add: 800 + 340 = 1140", "Subtract: -687 - 1140 = -1827", "Add: -1827 + 39 = -1788"], "final_answer": "-1788", "answer_type": "integer", "kind": "expression", "math_text": "-687 - (800 + 340) + 39", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -687, \"b\": 800, \"c\": 340, \"d\": 39}", "seed": "1225077199017415859", "semantic_fingerprint": "sha256:75070ce6e39a641570877f89d39da72df86286a61d8d1ac8105afbe0443bb831", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002262", "prompt": "Solve for x: 3(x - 7) = 8x - 91", "solution_steps": ["Expand: 3x - 21 = 8x - 91", "Subtract 8x from both sides: -5x - 21 = -91", "Add 21 to both sides: -5x = -70", "Divide both sides by -5: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 7) = 8x - 91", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 8, \"e\": -91, \"x\": 14}", "seed": "10088515702997459535", "semantic_fingerprint": "sha256:7062c0bd63c5d55ff04eb40c49633c83f4c1ed104f03dae0d90176d84fa79281", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002263", "prompt": "Calculate: -2 - (7 + 5) + (-5)", "solution_steps": ["Add: 7 + 5 = 12", "Subtract: -2 - 12 = -14", "Add: -14 + (-5) = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (7 + 5) + (-5)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 7, \"c\": 5, \"d\": -5}", "seed": "17889668536612151921", "semantic_fingerprint": "sha256:90c4533c271b036debf64ac6be2b285f33ae3b4d537a6aae9da83529e5da2698", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002264", "prompt": "Calculate: 40 * 985 - (395 - (-679 + 351))", "solution_steps": ["Multiply: 40 * 985 = 39400", "Add: -679 + 351 = -328", "Subtract: 395 - (-328) = 723", "Subtract: 39400 - 723 = 38677"], "final_answer": "38677", "answer_type": "integer", "kind": "expression", "math_text": "40 * 985 - (395 - (-679 + 351))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": 985, \"c\": 395, \"d\": -679, \"e\": 351}", "seed": "390766208407231424", "semantic_fingerprint": "sha256:f3f30d919ccb394e0232684604009e342b681f51a40c3e53484b708c770af193", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002265", "prompt": "What is 45 - (9 - (-83 - 0))?", "solution_steps": ["Subtract: -83 - 0 = -83", "Subtract: 9 - (-83) = 92", "Subtract: 45 - 92 = -47"], "final_answer": "-47", "answer_type": "integer", "kind": "expression", "math_text": "45 - (9 - (-83 - 0))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": 9, \"c\": -83, \"d\": 0}", "seed": "3700520943968283336", "semantic_fingerprint": "sha256:bf235b0d1f3deecc33c56be3939d3a01a8e1cb9e763578f981791781370522b0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002266", "prompt": "What is -756 * (7 - 480 + 563)?", "solution_steps": ["Subtract: 7 - 480 = -473", "Add: -473 + 563 = 90", "Multiply: -756 * 90 = -68040"], "final_answer": "-68040", "answer_type": "integer", "kind": "expression", "math_text": "-756 * (7 - 480 + 563)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -756, \"b\": 7, \"c\": 480, \"d\": 563}", "seed": "7881398136451298064", "semantic_fingerprint": "sha256:a542a66cb7227e455088a0a67ed4efcaa5ac0b77ce80013fbbb8cecdf44c471d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002267", "prompt": "What is 549 - (682 + (-39 - 37))?", "solution_steps": ["Subtract: -39 - 37 = -76", "Add: 682 + (-76) = 606", "Subtract: 549 - 606 = -57"], "final_answer": "-57", "answer_type": "integer", "kind": "expression", "math_text": "549 - (682 + (-39 - 37))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 549, \"b\": 682, \"c\": -39, \"d\": 37}", "seed": "15642350860729207804", "semantic_fingerprint": "sha256:4bad7a61c4e759d27394e344e4e25e5f0a4bf1ec4ab7c9b0cd1559f1a092c705", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002268", "prompt": "Solve the equation x - 31 = 11(x - 4) + 103 for x.", "solution_steps": ["Expand: x - 31 = 11x - 44 + 103", "Combine constants: x - 31 = 11x + 59", "Subtract 11x from both sides: -10x - 31 = 59", "Add 31 to both sides: -10x = 90", "Divide both sides by -10: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 31 = 11(x - 4) + 103", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 11, \"c\": 4, \"e\": 103, \"x\": -9}", "seed": "451635192638256015", "semantic_fingerprint": "sha256:3f2c395a13cc6812edbc143cd236b1b24b1982df4246d02e62cd566648c2b936", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002269", "prompt": "Calculate: -2 * 50 / (-3 + 2)", "solution_steps": ["Multiply: -2 * 50 = -100", "Add: -3 + 2 = -1", "Divide: -100 / (-1) = 100"], "final_answer": "100", "answer_type": "integer", "kind": "expression", "math_text": "-2 * 50 / (-3 + 2)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 50, \"c\": -3, \"d\": 2}", "seed": "4274992125945688240", "semantic_fingerprint": "sha256:8d95b2fe216d27adc4a4cbf0f4aebf841eefeefbc0f0c993b143fdbec674d17a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002270", "prompt": "Solve the equation -6(x - 6) + 517 = 7x + 488 for x.", "solution_steps": ["Expand: -6x + 36 + 517 = 7x + 488", "Combine constants: -6x + 553 = 7x + 488", "Subtract 7x from both sides: -13x + 553 = 488", "Subtract 553 from both sides: -13x = -65", "Divide both sides by -13: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 6) + 517 = 7x + 488", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 6, \"c\": 517, \"d\": 7, \"f\": 488, \"x\": 5}", "seed": "16453666731411770148", "semantic_fingerprint": "sha256:db2246083d0992dec8a96089f114458c6e0c7a1de69f59802eb819209ee43bb9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002271", "prompt": "Compute: -75 / (-3) / (292 - 25 + 335)", "solution_steps": ["Divide: -75 / (-3) = 25", "Subtract: 292 - 25 = 267", "Add: 267 + 335 = 602", "Divide: 25 / 602 = 25/602"], "final_answer": "25/602", "answer_type": "rational", "kind": "expression", "math_text": "-75 / (-3) / (292 - 25 + 335)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -3, \"c\": 292, \"d\": 25, \"e\": 335}", "seed": "3872751304808550812", "semantic_fingerprint": "sha256:6a6d7bd3e62945d046b09a10c50212877e5d23c6a6d0386c8929fd180c48bc65", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002272", "prompt": "Evaluate: 28 * (-706) / (-29 + 308)", "solution_steps": ["Multiply: 28 * (-706) = -19768", "Add: -29 + 308 = 279", "Divide: -19768 / 279 = -19768/279"], "final_answer": "-19768/279", "answer_type": "rational", "kind": "expression", "math_text": "28 * (-706) / (-29 + 308)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -706, \"c\": -29, \"d\": 308}", "seed": "16610741702231794860", "semantic_fingerprint": "sha256:84e14808582257d8eec07f5c853ce4d8fc08040325ef619d23d18b4f667f8f4a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002273", "prompt": "Solve for x: 11(x - 462) + 1 = -10(x + 61) - 3", "solution_steps": ["Expand: 11x - 5082 + 1 = -10(x + 61) - 3", "Expand: 11x - 5082 + 1 = -10x - 610 - 3", "Combine constants: 11x - 5081 = -10x - 610 - 3", "Combine constants: 11x - 5081 = -10x - 613", "Add 10x to both sides: 21x - 5081 = -613", "Add 5081 to both sides: 21x = 4468", "Divide both sides by 21: x = 4468/21"], "final_answer": "4468/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 462) + 1 = -10(x + 61) - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 462, \"c\": 1, \"d\": -10, \"e\": 61, \"f\": 3}", "seed": "8041614183086086096", "semantic_fingerprint": "sha256:b39b9334238082e516a135c189c9d3016aee69728dd2a150c4f2cd5ed7d0ebe8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002274", "prompt": "Compute: (-34 - 7) * (111 * 82)", "solution_steps": ["Subtract: -34 - 7 = -41", "Multiply: 111 * 82 = 9102", "Multiply: -41 * 9102 = -373182"], "final_answer": "-373182", "answer_type": "integer", "kind": "expression", "math_text": "(-34 - 7) * (111 * 82)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": 7, \"c\": 111, \"d\": 82}", "seed": "6830971825842762488", "semantic_fingerprint": "sha256:a02a38f564c1da4ff547ae7bdf8f9a13ef5b0e16b4719c9b177fd96f43fe378b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002275", "prompt": "Evaluate: (5 - (-62)) / (76 / (-298 + (-92)))", "solution_steps": ["Subtract: 5 - (-62) = 67", "Add: -298 + (-92) = -390", "Divide: 76 / (-390) = -38/195", "Divide: 67 / (-38/195) = -13065/38"], "final_answer": "-13065/38", "answer_type": "rational", "kind": "expression", "math_text": "(5 - (-62)) / (76 / (-298 + (-92)))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -62, \"c\": 76, \"d\": -298, \"e\": -92}", "seed": "7911650577387020082", "semantic_fingerprint": "sha256:92dbd65b0be5623cbce0acc6faf24b55ed309f38d75b8362b2141ba61ad09ceb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002276", "prompt": "Solve the equation 8(x - 426) + 55 = 9(x - 395) for x.", "solution_steps": ["Expand: 8x - 3408 + 55 = 9(x - 395)", "Expand: 8x - 3408 + 55 = 9x - 3555", "Combine constants: 8x - 3353 = 9x - 3555", "Subtract 9x from both sides: -x - 3353 = -3555", "Add 3353 to both sides: -x = -202", "Divide both sides by -1: x = 202"], "final_answer": "202", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 426) + 55 = 9(x - 395)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 426, \"c\": 55, \"d\": 9, \"e\": 395}", "seed": "9093222101368411446", "semantic_fingerprint": "sha256:95386d3f5b8f60cc7c070de437e54dc30bf00108694afd0084bf38cb93a8abf6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002277", "prompt": "Find x: 9(x - 21) + 9 = -7x + 4", "solution_steps": ["Expand: 9x - 189 + 9 = -7x + 4", "Combine constants: 9x - 180 = -7x + 4", "Add 7x to both sides: 16x - 180 = 4", "Add 180 to both sides: 16x = 184", "Divide both sides by 16: x = 23/2"], "final_answer": "23/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 21) + 9 = -7x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 21, \"c\": 9, \"d\": -7, \"e\": 4}", "seed": "10456698521178306109", "semantic_fingerprint": "sha256:9ee1cc34ee88ad63c303fcae3bd51f23dbd6e8fb73986b3f40c32e53bbd9c753", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002278", "prompt": "Find x: 9(x - 52) + 8 = 12(x + 346) - 356", "solution_steps": ["Expand: 9x - 468 + 8 = 12(x + 346) - 356", "Expand: 9x - 468 + 8 = 12x + 4152 - 356", "Combine constants: 9x - 460 = 12x + 4152 - 356", "Combine constants: 9x - 460 = 12x + 3796", "Subtract 12x from both sides: -3x - 460 = 3796", "Add 460 to both sides: -3x = 4256", "Divide both sides by -3: x = -4256/3"], "final_answer": "-4256/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 52) + 8 = 12(x + 346) - 356", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 52, \"c\": 8, \"d\": 12, \"e\": 346, \"f\": 356}", "seed": "14293209242800189743", "semantic_fingerprint": "sha256:b49586e5210f37858cc02e76703028f7cdbdbcaf66ac8fe5194ee3c3cf72d93a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002279", "prompt": "Compute: -2 / (-5 * (-75) + 85 * (0 * 9))", "solution_steps": ["Multiply: -5 * (-75) = 375", "Multiply: 0 * 9 = 0", "Multiply: 85 * 0 = 0", "Add: 375 + 0 = 375", "Divide: -2 / 375 = -2/375"], "final_answer": "-2/375", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-5 * (-75) + 85 * (0 * 9))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (* n n) (* n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -5, \"c\": -75, \"d\": 85, \"e\": 0, \"f\": 9}", "seed": "2453697538317547135", "semantic_fingerprint": "sha256:467f7bd8d991726a35993d6b2c832e83dcbcc3892a398d421a2fabc9e36df80a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002280", "prompt": "Evaluate: -24 * (-6 + (-1 / (-136) - (18 + (-5))))", "solution_steps": ["Divide: -1 / (-136) = 1/136", "Add: 18 + (-5) = 13", "Subtract: 1/136 - 13 = -1767/136", "Add: -6 + (-1767/136) = -2583/136", "Multiply: -24 * (-2583/136) = 7749/17"], "final_answer": "7749/17", "answer_type": "rational", "kind": "expression", "math_text": "-24 * (-6 + (-1 / (-136) - (18 + (-5))))", "variable": null, "family": "expression_5op", "shape": "(* n (+ n (- (/ n n) (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": -6, \"c\": -1, \"d\": -136, \"e\": 18, \"f\": -5}", "seed": "104072162015132942", "semantic_fingerprint": "sha256:05f10132bea1068acab500bdbacdaae1755d549d18fdd740e5790ef8a54e9788", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002281", "prompt": "What is 56 * (53 + (-6 - (-1) - (-7) * 6))?", "solution_steps": ["Subtract: -6 - (-1) = -5", "Multiply: -7 * 6 = -42", "Subtract: -5 - (-42) = 37", "Add: 53 + 37 = 90", "Multiply: 56 * 90 = 5040"], "final_answer": "5040", "answer_type": "integer", "kind": "expression", "math_text": "56 * (53 + (-6 - (-1) - (-7) * 6))", "variable": null, "family": "expression_5op", "shape": "(* n (+ n (- (- n n) (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 53, \"c\": -6, \"d\": -1, \"e\": -7, \"f\": 6}", "seed": "9789719323172045670", "semantic_fingerprint": "sha256:13e990d13e3cff0976d5ce1163265a4771c75a51b461f4c2648376d7a2d63679", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002282", "prompt": "Evaluate: -1 * (-709 - (-926) + 0)", "solution_steps": ["Subtract: -709 - (-926) = 217", "Add: 217 + 0 = 217", "Multiply: -1 * 217 = -217"], "final_answer": "-217", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-709 - (-926) + 0)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -709, \"c\": -926, \"d\": 0}", "seed": "10474332821478454230", "semantic_fingerprint": "sha256:49eaa7d0122c2f5efe93d28a62b26451dec915c0da078ea2d3435f450d99c2ac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002283", "prompt": "What is (-2 - (-8)) * (-8) * (-97)?", "solution_steps": ["Subtract: -2 - (-8) = 6", "Multiply: 6 * (-8) = -48", "Multiply: -48 * (-97) = 4656"], "final_answer": "4656", "answer_type": "integer", "kind": "expression", "math_text": "(-2 - (-8)) * (-8) * (-97)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -8, \"c\": -8, \"d\": -97}", "seed": "10951145966951692712", "semantic_fingerprint": "sha256:15541a032a1d113f1521f7773f822be491caa384f219130f78b3e189cdb4129e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002284", "prompt": "Calculate: (-3 - 0) / (-810 * 12)", "solution_steps": ["Subtract: -3 - 0 = -3", "Multiply: -810 * 12 = -9720", "Divide: -3 / (-9720) = 1/3240"], "final_answer": "1/3240", "answer_type": "rational", "kind": "expression", "math_text": "(-3 - 0) / (-810 * 12)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 0, \"c\": -810, \"d\": 12}", "seed": "3895503173052196941", "semantic_fingerprint": "sha256:908ffc343ec278c6fe59736c7930e6b42b309e5cb3aee2adb90dd59942980733", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002285", "prompt": "Calculate: -96 + 96 - 7 + (-37)", "solution_steps": ["Add: -96 + 96 = 0", "Subtract: 0 - 7 = -7", "Add: -7 + (-37) = -44"], "final_answer": "-44", "answer_type": "integer", "kind": "expression", "math_text": "-96 + 96 - 7 + (-37)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": 96, \"c\": 7, \"d\": -37}", "seed": "16093130177564292190", "semantic_fingerprint": "sha256:6a74dc7016345015930e605e0c4161ed1566982d84301dd278ab4be52ab15cb5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002286", "prompt": "Compute: (427 - 632 / 276) / (-81)", "solution_steps": ["Divide: 632 / 276 = 158/69", "Subtract: 427 - 158/69 = 29305/69", "Divide: (29305/69) / (-81) = -29305/5589"], "final_answer": "-29305/5589", "answer_type": "rational", "kind": "expression", "math_text": "(427 - 632 / 276) / (-81)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 427, \"b\": 632, \"c\": 276, \"d\": -81}", "seed": "11423753478725597364", "semantic_fingerprint": "sha256:e973a4e0af1496ca540b5b5c509b9615bd5d44a903a37430a89e0096c3ac42ee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002287", "prompt": "Evaluate: -480 / 75 + (-8) / (-5)", "solution_steps": ["Divide: -480 / 75 = -32/5", "Divide: -8 / (-5) = 8/5", "Add: -32/5 + 8/5 = -24/5"], "final_answer": "-24/5", "answer_type": "rational", "kind": "expression", "math_text": "-480 / 75 + (-8) / (-5)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -480, \"b\": 75, \"c\": -8, \"d\": -5}", "seed": "18171882870790201758", "semantic_fingerprint": "sha256:bf3bfec7461947d7bb3d3418ece34d68517649433b7ddea3137dab9920dd22a0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002288", "prompt": "Compute: (-14 / (-665) - 2) / (-7) * (-717)", "solution_steps": ["Divide: -14 / (-665) = 2/95", "Subtract: 2/95 - 2 = -188/95", "Divide: (-188/95) / (-7) = 188/665", "Multiply: (188/665) * (-717) = -134796/665"], "final_answer": "-134796/665", "answer_type": "rational", "kind": "expression", "math_text": "(-14 / (-665) - 2) / (-7) * (-717)", "variable": null, "family": "expression_4op", "shape": "(* (/ (- (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": -665, \"c\": 2, \"d\": -7, \"e\": -717}", "seed": "14699966455147725836", "semantic_fingerprint": "sha256:a6c085266b4ac92ed6c7219280e46727d6547847d2d73c5e3a6e3f0c771307b2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002289", "prompt": "Compute: (-43 + 8 + (-66)) * 2", "solution_steps": ["Add: -43 + 8 = -35", "Add: -35 + (-66) = -101", "Multiply: -101 * 2 = -202"], "final_answer": "-202", "answer_type": "integer", "kind": "expression", "math_text": "(-43 + 8 + (-66)) * 2", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 8, \"c\": -66, \"d\": 2}", "seed": "14610575345054383628", "semantic_fingerprint": "sha256:7de30c4665ae22d64641d6bf6a85bf8637b95200681a37ebc1d05f40edc8d129", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002290", "prompt": "Evaluate: -39 / (90 + (-705)) * 92 * (-556)", "solution_steps": ["Add: 90 + (-705) = -615", "Divide: -39 / (-615) = 13/205", "Multiply: (13/205) * 92 = 1196/205", "Multiply: (1196/205) * (-556) = -664976/205"], "final_answer": "-664976/205", "answer_type": "rational", "kind": "expression", "math_text": "-39 / (90 + (-705)) * 92 * (-556)", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": 90, \"c\": -705, \"d\": 92, \"e\": -556}", "seed": "3668154348148566913", "semantic_fingerprint": "sha256:10237530b4da5b488313e496efcebec380aeb1e4d17118f4b0ee75bb782979e4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002291", "prompt": "Solve the equation x - 21 = 4(x - 9) + 3 for x.", "solution_steps": ["Expand: x - 21 = 4x - 36 + 3", "Combine constants: x - 21 = 4x - 33", "Subtract 4x from both sides: -3x - 21 = -33", "Add 21 to both sides: -3x = -12", "Divide both sides by -3: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 21 = 4(x - 9) + 3", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 4, \"c\": 9, \"d\": 3}", "seed": "9213255071031945250", "semantic_fingerprint": "sha256:4aea190e5116d0212e8a5ada55b2856f6837ff7395186df17ea8655dbc8c299c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002292", "prompt": "What is 28 + (-1 * 91 - 709)?", "solution_steps": ["Multiply: -1 * 91 = -91", "Subtract: -91 - 709 = -800", "Add: 28 + (-800) = -772"], "final_answer": "-772", "answer_type": "integer", "kind": "expression", "math_text": "28 + (-1 * 91 - 709)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -1, \"c\": 91, \"d\": 709}", "seed": "18157502465708565040", "semantic_fingerprint": "sha256:462796990bd6ce5135d247bb285bbdf8868441d13f831745142e3eb15ede8ab0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002293", "prompt": "What is 12 + (-4) - 693 + 6?", "solution_steps": ["Add: 12 + (-4) = 8", "Subtract: 8 - 693 = -685", "Add: -685 + 6 = -679"], "final_answer": "-679", "answer_type": "integer", "kind": "expression", "math_text": "12 + (-4) - 693 + 6", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -4, \"c\": 693, \"d\": 6}", "seed": "5739160886167660200", "semantic_fingerprint": "sha256:7ce9896452f5c836f8b848db5a14691808292bc0b3858906d0c0ebaee47f0e64", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002294", "prompt": "What value of x satisfies 7(x - 62) + 413 = 3(x - 7)?", "solution_steps": ["Expand: 7x - 434 + 413 = 3(x - 7)", "Expand: 7x - 434 + 413 = 3x - 21", "Combine constants: 7x - 21 = 3x - 21", "Subtract 3x from both sides: 4x - 21 = -21", "Add 21 to both sides: 4x = 0", "Divide both sides by 4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 62) + 413 = 3(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 62, \"c\": 3, \"d\": 7, \"f\": 413, \"x\": 0}", "seed": "5808185674489270195", "semantic_fingerprint": "sha256:446227a13760b19c11d9e5c53e531c8d5254ea18041a158d126b62cf218a9d00", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002295", "prompt": "Solve the equation x - 1 = 3(x - 93) + 250 for x.", "solution_steps": ["Expand: x - 1 = 3x - 279 + 250", "Combine constants: x - 1 = 3x - 29", "Subtract 3x from both sides: -2x - 1 = -29", "Add 1 to both sides: -2x = -28", "Divide both sides by -2: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1 = 3(x - 93) + 250", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 3, \"c\": 93, \"e\": 250, \"x\": 14}", "seed": "4820597905821475883", "semantic_fingerprint": "sha256:fe6413c5fe956ca33b934cab0598e59721a1620ed7b6570ad1adafd00ecea1ed", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002296", "prompt": "Solve for x: 3(x + 6) - 744 = x - 728", "solution_steps": ["Expand: 3x + 18 - 744 = x - 728", "Combine constants: 3x - 726 = x - 728", "Subtract x from both sides: 2x - 726 = -728", "Add 726 to both sides: 2x = -2", "Divide both sides by 2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 6) - 744 = x - 728", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 744, \"e\": -728, \"x\": -1}", "seed": "3247427182755003314", "semantic_fingerprint": "sha256:0f2ab1221d76808ca66bb85131aef7b2fce0288584af2e86e7db9e174121a075", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002297", "prompt": "Solve the equation 6(x - 44) = 2x - 284 for x.", "solution_steps": ["Expand: 6x - 264 = 2x - 284", "Subtract 2x from both sides: 4x - 264 = -284", "Add 264 to both sides: 4x = -20", "Divide both sides by 4: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 44) = 2x - 284", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 44, \"c\": 2, \"e\": -284, \"x\": -5}", "seed": "15875091972198327089", "semantic_fingerprint": "sha256:ccf038591ab9cc020558e503d1e575b8e4246bca2973a144b0dc602df2abad51", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002298", "prompt": "Solve the equation -7(x - 8) - 464 = 5(x - 60) for x.", "solution_steps": ["Expand: -7x + 56 - 464 = 5(x - 60)", "Expand: -7x + 56 - 464 = 5x - 300", "Combine constants: -7x - 408 = 5x - 300", "Subtract 5x from both sides: -12x - 408 = -300", "Add 408 to both sides: -12x = 108", "Divide both sides by -12: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 8) - 464 = 5(x - 60)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 8, \"c\": 5, \"d\": 60, \"f\": -464, \"x\": -9}", "seed": "5017966897827676166", "semantic_fingerprint": "sha256:67aca016d13fedeaec04ce7a0ff2cac66de48eea7e03907e7a79d1737d646651", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002299", "prompt": "Calculate: -512 / (-9) / (7 - 82 + 8)", "solution_steps": ["Divide: -512 / (-9) = 512/9", "Subtract: 7 - 82 = -75", "Add: -75 + 8 = -67", "Divide: (512/9) / (-67) = -512/603"], "final_answer": "-512/603", "answer_type": "rational", "kind": "expression", "math_text": "-512 / (-9) / (7 - 82 + 8)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -512, \"b\": -9, \"c\": 7, \"d\": 82, \"e\": 8}", "seed": "11445429179051151290", "semantic_fingerprint": "sha256:5081a9943e4f0bf4a52dfb9ccab2d3c67f17386eb6e595bb8a9879d0118e2e6b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002300", "prompt": "What value of x satisfies 9(x - 104) = 8x - 952?", "solution_steps": ["Expand: 9x - 936 = 8x - 952", "Subtract 8x from both sides: x - 936 = -952", "Add 936 to both sides: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 104) = 8x - 952", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 104, \"c\": 8, \"e\": -952, \"x\": -16}", "seed": "12910397346625545564", "semantic_fingerprint": "sha256:c185868e0178fc4c3d7d306710a0bd8591ca31052e98a04f0fd1200dbba85d0f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002301", "prompt": "Solve for x: 6(x - 580) + 52 = 3(x - 13)", "solution_steps": ["Expand: 6x - 3480 + 52 = 3(x - 13)", "Expand: 6x - 3480 + 52 = 3x - 39", "Combine constants: 6x - 3428 = 3x - 39", "Subtract 3x from both sides: 3x - 3428 = -39", "Add 3428 to both sides: 3x = 3389", "Divide both sides by 3: x = 3389/3"], "final_answer": "3389/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 580) + 52 = 3(x - 13)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 580, \"c\": 52, \"d\": 3, \"e\": 13}", "seed": "13578447026230971194", "semantic_fingerprint": "sha256:8395791c99ab20041fa7e8fc6f2ce9c74296c33939243b92f5463ea68d1b3921", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002302", "prompt": "Compute: (-44 - 233 / 2) / 86", "solution_steps": ["Divide: 233 / 2 = 233/2", "Subtract: -44 - 233/2 = -321/2", "Divide: (-321/2) / 86 = -321/172"], "final_answer": "-321/172", "answer_type": "rational", "kind": "expression", "math_text": "(-44 - 233 / 2) / 86", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": 233, \"c\": 2, \"d\": 86}", "seed": "15993776859105710144", "semantic_fingerprint": "sha256:7edc014513705fe46b89b96e74de5aa51fc3003629e89b726ef2ae99eaa80574", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002303", "prompt": "Evaluate: (369 - (-9)) / (-928 * 7)", "solution_steps": ["Subtract: 369 - (-9) = 378", "Multiply: -928 * 7 = -6496", "Divide: 378 / (-6496) = -27/464"], "final_answer": "-27/464", "answer_type": "rational", "kind": "expression", "math_text": "(369 - (-9)) / (-928 * 7)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 369, \"b\": -9, \"c\": -928, \"d\": 7}", "seed": "8648170437054316722", "semantic_fingerprint": "sha256:5e22905f7233d5ab5643d257459d6b04347e06d71639889b3d41e0c405b889e4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002304", "prompt": "Calculate: (1 - 390) / 82 - (-179 - 2)", "solution_steps": ["Subtract: 1 - 390 = -389", "Divide: -389 / 82 = -389/82", "Subtract: -179 - 2 = -181", "Subtract: -389/82 - (-181) = 14453/82"], "final_answer": "14453/82", "answer_type": "rational", "kind": "expression", "math_text": "(1 - 390) / 82 - (-179 - 2)", "variable": null, "family": "expression_4op", "shape": "(- (/ (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 390, \"c\": 82, \"d\": -179, \"e\": 2}", "seed": "17922781367196314097", "semantic_fingerprint": "sha256:bbc79cde1b696c0a8f9f825dfbdc7b07131737839dfe2089dcab2cba26c4e391", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002305", "prompt": "Evaluate: 35 + (-506) / (-410 - (-67))", "solution_steps": ["Subtract: -410 - (-67) = -343", "Divide: -506 / (-343) = 506/343", "Add: 35 + 506/343 = 12511/343"], "final_answer": "12511/343", "answer_type": "rational", "kind": "expression", "math_text": "35 + (-506) / (-410 - (-67))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -506, \"c\": -410, \"d\": -67}", "seed": "11456192205805303716", "semantic_fingerprint": "sha256:d41b380c051033301a41a783c6bdcc8d519ee1fdcfe99f609dfadf5952723cde", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002306", "prompt": "Find x: 6(x + 8) + 32 = 3(x + 13) - 10", "solution_steps": ["Expand: 6x + 48 + 32 = 3(x + 13) - 10", "Expand: 6x + 48 + 32 = 3x + 39 - 10", "Combine constants: 6x + 80 = 3x + 39 - 10", "Combine constants: 6x + 80 = 3x + 29", "Subtract 3x from both sides: 3x + 80 = 29", "Subtract 80 from both sides: 3x = -51", "Divide both sides by 3: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 8) + 32 = 3(x + 13) - 10", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 32, \"d\": 3, \"e\": 13, \"g\": -10, \"x\": -17}", "seed": "16606796721053467820", "semantic_fingerprint": "sha256:566758f6620669cfafbf476555207667bc9e7b91e0e59374d48f288689993b42", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002307", "prompt": "Solve the equation 10(x + 8) + 50 = 12(x + 90) - 962 for x.", "solution_steps": ["Expand: 10x + 80 + 50 = 12(x + 90) - 962", "Expand: 10x + 80 + 50 = 12x + 1080 - 962", "Combine constants: 10x + 130 = 12x + 1080 - 962", "Combine constants: 10x + 130 = 12x + 118", "Subtract 12x from both sides: -2x + 130 = 118", "Subtract 130 from both sides: -2x = -12", "Divide both sides by -2: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 8) + 50 = 12(x + 90) - 962", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"c\": 50, \"d\": 12, \"e\": 90, \"g\": -962, \"x\": 6}", "seed": "14899994812213174859", "semantic_fingerprint": "sha256:26dbbd487bd3397a0caed1f2191ea129febe726a7a473fd6bda64e1008533989", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002308", "prompt": "What is (-52 * (-96 - 0) - 76 - 6) * 1?", "solution_steps": ["Subtract: -96 - 0 = -96", "Multiply: -52 * (-96) = 4992", "Subtract: 4992 - 76 = 4916", "Subtract: 4916 - 6 = 4910", "Multiply: 4910 * 1 = 4910"], "final_answer": "4910", "answer_type": "integer", "kind": "expression", "math_text": "(-52 * (-96 - 0) - 76 - 6) * 1", "variable": null, "family": "expression_5op", "shape": "(* (- (- (* n (- n n)) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": -96, \"c\": 0, \"d\": 76, \"e\": 6, \"f\": 1}", "seed": "10328067348577163838", "semantic_fingerprint": "sha256:0152c1eac2368e96455b4765b4241669ef73050fdc17b794233f1d973e6e58c5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002309", "prompt": "What is -28 / 7 + (-1 - (-3)) - (-48)?", "solution_steps": ["Divide: -28 / 7 = -4", "Subtract: -1 - (-3) = 2", "Add: -4 + 2 = -2", "Subtract: -2 - (-48) = 46"], "final_answer": "46", "answer_type": "integer", "kind": "expression", "math_text": "-28 / 7 + (-1 - (-3)) - (-48)", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": 7, \"c\": -1, \"d\": -3, \"e\": -48}", "seed": "2908954082593695281", "semantic_fingerprint": "sha256:73f196824259077e670d9c7cc06643d2ae90668bf9eab22aa08741dfb2cecb4a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002310", "prompt": "Find x: -11(x + 346) + 34 = -8(x + 9) - 22", "solution_steps": ["Expand: -11x - 3806 + 34 = -8(x + 9) - 22", "Expand: -11x - 3806 + 34 = -8x - 72 - 22", "Combine constants: -11x - 3772 = -8x - 72 - 22", "Combine constants: -11x - 3772 = -8x - 94", "Add 8x to both sides: -3x - 3772 = -94", "Add 3772 to both sides: -3x = 3678", "Divide both sides by -3: x = -1226"], "final_answer": "-1226", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 346) + 34 = -8(x + 9) - 22", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 346, \"c\": 34, \"d\": -8, \"e\": 9, \"f\": 22}", "seed": "250409463153106461", "semantic_fingerprint": "sha256:7e8a7af2d3938710e7fdba1d32e34d8adb2632ba93774a339466013edf6a32ab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002311", "prompt": "Evaluate: -66 / ((705 - (-2)) / (83 - 0))", "solution_steps": ["Subtract: 705 - (-2) = 707", "Subtract: 83 - 0 = 83", "Divide: 707 / 83 = 707/83", "Divide: -66 / (707/83) = -5478/707"], "final_answer": "-5478/707", "answer_type": "rational", "kind": "expression", "math_text": "-66 / ((705 - (-2)) / (83 - 0))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (- n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": 705, \"c\": -2, \"d\": 83, \"e\": 0}", "seed": "2649512558915608532", "semantic_fingerprint": "sha256:eee34b9f57689b566606576c57e996fb6cc0bf26d7c61ec1025ac7bbb1c66ae9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002312", "prompt": "Evaluate: -88 * (74 * (84 - 8))", "solution_steps": ["Subtract: 84 - 8 = 76", "Multiply: 74 * 76 = 5624", "Multiply: -88 * 5624 = -494912"], "final_answer": "-494912", "answer_type": "integer", "kind": "expression", "math_text": "-88 * (74 * (84 - 8))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": 74, \"c\": 84, \"d\": 8}", "seed": "15599997552123204686", "semantic_fingerprint": "sha256:006d4344160f1051dd7d539a2b72fc2124f241ef3c8805f4e9b59a6fa2efab98", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002313", "prompt": "Calculate: 0 / (165 / 69) / (9 + 92 / (-51))", "solution_steps": ["Divide: 165 / 69 = 55/23", "Divide: 0 / (55/23) = 0", "Divide: 92 / (-51) = -92/51", "Add: 9 + (-92/51) = 367/51", "Divide: 0 / (367/51) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (165 / 69) / (9 + 92 / (-51))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n (/ n n)) (+ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 165, \"c\": 69, \"d\": 9, \"e\": 92, \"f\": -51}", "seed": "1667996347694517206", "semantic_fingerprint": "sha256:43b724ba6cb8d8034c1cf5a5d67298ec7845a1638475b2d53a7a5c2fae59d052", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002314", "prompt": "Solve the equation 3(x - 37) - 516 = -5(x - 8) - 667 for x.", "solution_steps": ["Expand: 3x - 111 - 516 = -5(x - 8) - 667", "Expand: 3x - 111 - 516 = -5x + 40 - 667", "Combine constants: 3x - 627 = -5x + 40 - 667", "Combine constants: 3x - 627 = -5x - 627", "Add 5x to both sides: 8x - 627 = -627", "Add 627 to both sides: 8x = 0", "Divide both sides by 8: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 37) - 516 = -5(x - 8) - 667", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 37, \"c\": 516, \"d\": -5, \"e\": 8, \"g\": -667, \"x\": 0}", "seed": "8934480506145273995", "semantic_fingerprint": "sha256:826f911fd51156e4e89ed36fb1bb932061856d516bd585dc281bfb4f74e674ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002315", "prompt": "Compute: -211 * (-64) - (-49) * (-14 + 5)", "solution_steps": ["Multiply: -211 * (-64) = 13504", "Add: -14 + 5 = -9", "Multiply: -49 * (-9) = 441", "Subtract: 13504 - 441 = 13063"], "final_answer": "13063", "answer_type": "integer", "kind": "expression", "math_text": "-211 * (-64) - (-49) * (-14 + 5)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -211, \"b\": -64, \"c\": -49, \"d\": -14, \"e\": 5}", "seed": "8062130492999497961", "semantic_fingerprint": "sha256:4d10ef6e5c1405a84684628f0872e8c6364bc04a047cb80172f59abcb18b084b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002316", "prompt": "Calculate: 280 / (-400) * (-43) - 672 + (-4) * 809", "solution_steps": ["Divide: 280 / (-400) = -7/10", "Multiply: (-7/10) * (-43) = 301/10", "Subtract: 301/10 - 672 = -6419/10", "Multiply: -4 * 809 = -3236", "Add: -6419/10 + (-3236) = -38779/10"], "final_answer": "-38779/10", "answer_type": "rational", "kind": "expression", "math_text": "280 / (-400) * (-43) - 672 + (-4) * 809", "variable": null, "family": "expression_5op", "shape": "(+ (- (* (/ n n) n) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 280, \"b\": -400, \"c\": -43, \"d\": 672, \"e\": -4, \"f\": 809}", "seed": "5655787310702249006", "semantic_fingerprint": "sha256:63f238cb76d1efa308148f345518e1d2cd80dc190813cb2f9859b7e3cfef3d38", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002317", "prompt": "Compute: -8 * (80 + (-4 + 350) / (-9)) / (-44)", "solution_steps": ["Add: -4 + 350 = 346", "Divide: 346 / (-9) = -346/9", "Add: 80 + (-346/9) = 374/9", "Multiply: -8 * (374/9) = -2992/9", "Divide: (-2992/9) / (-44) = 68/9"], "final_answer": "68/9", "answer_type": "rational", "kind": "expression", "math_text": "-8 * (80 + (-4 + 350) / (-9)) / (-44)", "variable": null, "family": "expression_5op", "shape": "(/ (* n (+ n (/ (+ n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 80, \"c\": -4, \"d\": 350, \"e\": -9, \"f\": -44}", "seed": "51807269084065667", "semantic_fingerprint": "sha256:f6160d11a60f48e78d0d4efca5f7abf96a6004286ec8c621e626c66472e463e6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002318", "prompt": "What is (17 * (-158) + 0 / 9 / 4) / (-4)?", "solution_steps": ["Multiply: 17 * (-158) = -2686", "Divide: 0 / 9 = 0", "Divide: 0 / 4 = 0", "Add: -2686 + 0 = -2686", "Divide: -2686 / (-4) = 1343/2"], "final_answer": "1343/2", "answer_type": "rational", "kind": "expression", "math_text": "(17 * (-158) + 0 / 9 / 4) / (-4)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (* n n) (/ (/ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": -158, \"c\": 0, \"d\": 9, \"e\": 4, \"f\": -4}", "seed": "10269930044011968531", "semantic_fingerprint": "sha256:08f7b93b91fc51d0f051afc114a2f7605013263afc628cf28f5c29e17109aa43", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002319", "prompt": "What value of x satisfies x - 4 = 3(x - 8) + 60?", "solution_steps": ["Expand: x - 4 = 3x - 24 + 60", "Combine constants: x - 4 = 3x + 36", "Subtract 3x from both sides: -2x - 4 = 36", "Add 4 to both sides: -2x = 40", "Divide both sides by -2: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4 = 3(x - 8) + 60", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 3, \"c\": 8, \"e\": 60, \"x\": -20}", "seed": "17095689364272188001", "semantic_fingerprint": "sha256:c8d64ab65c8aded02d09791063963fd937cf5e2ab13402c74a38bf068b723c6d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002320", "prompt": "Evaluate: 77 - (-2) / (1 / (-590) - (-2)) / (-3)", "solution_steps": ["Divide: 1 / (-590) = -1/590", "Subtract: -1/590 - (-2) = 1179/590", "Divide: -2 / (1179/590) = -1180/1179", "Divide: (-1180/1179) / (-3) = 1180/3537", "Subtract: 77 - 1180/3537 = 271169/3537"], "final_answer": "271169/3537", "answer_type": "rational", "kind": "expression", "math_text": "77 - (-2) / (1 / (-590) - (-2)) / (-3)", "variable": null, "family": "expression_5op", "shape": "(- n (/ (/ n (- (/ n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -2, \"c\": 1, \"d\": -590, \"e\": -2, \"f\": -3}", "seed": "6362783748676617749", "semantic_fingerprint": "sha256:ba1e4a14f0268848a74e6e20fe8703390eb97882a7ba6f0a45777a6827ae08ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002321", "prompt": "What is -37 / (87 * 86 / (-848))?", "solution_steps": ["Multiply: 87 * 86 = 7482", "Divide: 7482 / (-848) = -3741/424", "Divide: -37 / (-3741/424) = 15688/3741"], "final_answer": "15688/3741", "answer_type": "rational", "kind": "expression", "math_text": "-37 / (87 * 86 / (-848))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": 87, \"c\": 86, \"d\": -848}", "seed": "13288260738939308586", "semantic_fingerprint": "sha256:9bc2b55e279882f147623dfb4b3a9dfaffcb481edeee08fbb110d710a6083175", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002322", "prompt": "What is (-342 + (-941)) / (32 / 70)?", "solution_steps": ["Add: -342 + (-941) = -1283", "Divide: 32 / 70 = 16/35", "Divide: -1283 / (16/35) = -44905/16"], "final_answer": "-44905/16", "answer_type": "rational", "kind": "expression", "math_text": "(-342 + (-941)) / (32 / 70)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -342, \"b\": -941, \"c\": 32, \"d\": 70}", "seed": "4499697584025588436", "semantic_fingerprint": "sha256:ffbca5348990ffab288335ab21084fe4b495168fec95af4882bdd92f22740489", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002323", "prompt": "Evaluate: -74 * 0 * 80 * 18 - 0 * 923", "solution_steps": ["Multiply: -74 * 0 = 0", "Multiply: 0 * 80 = 0", "Multiply: 0 * 18 = 0", "Multiply: 0 * 923 = 0", "Subtract: 0 - 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-74 * 0 * 80 * 18 - 0 * 923", "variable": null, "family": "expression_5op", "shape": "(- (* (* (* n n) n) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": 0, \"c\": 80, \"d\": 18, \"e\": 0, \"f\": 923}", "seed": "372691697937935895", "semantic_fingerprint": "sha256:9e0bbd9b98825fd330116b04e8c2c39e5a832079387a42f49591f22df2e3ba22", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002324", "prompt": "Compute: 252 * ((-501 - (-68)) * 4 + (-54))", "solution_steps": ["Subtract: -501 - (-68) = -433", "Multiply: -433 * 4 = -1732", "Add: -1732 + (-54) = -1786", "Multiply: 252 * (-1786) = -450072"], "final_answer": "-450072", "answer_type": "integer", "kind": "expression", "math_text": "252 * ((-501 - (-68)) * 4 + (-54))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (* (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 252, \"b\": -501, \"c\": -68, \"d\": 4, \"e\": -54}", "seed": "12335063214791200998", "semantic_fingerprint": "sha256:638afe7c5475ac77fceeab61c72c5ff0fe46098a809489f6c36ff6a9d85e2940", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002325", "prompt": "Calculate: (413 + 869) * (-393) / (-5 - (10 - (-332)))", "solution_steps": ["Add: 413 + 869 = 1282", "Multiply: 1282 * (-393) = -503826", "Subtract: 10 - (-332) = 342", "Subtract: -5 - 342 = -347", "Divide: -503826 / (-347) = 503826/347"], "final_answer": "503826/347", "answer_type": "rational", "kind": "expression", "math_text": "(413 + 869) * (-393) / (-5 - (10 - (-332)))", "variable": null, "family": "expression_5op", "shape": "(/ (* (+ n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 413, \"b\": 869, \"c\": -393, \"d\": -5, \"e\": 10, \"f\": -332}", "seed": "1134956319332815652", "semantic_fingerprint": "sha256:560e66ad7d4d8a0bbec662df9146a4d9251984844a2cbf9c3f968790230be38e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002326", "prompt": "Solve for x: 12(x - 9) + 95 = 8x + 51", "solution_steps": ["Expand: 12x - 108 + 95 = 8x + 51", "Combine constants: 12x - 13 = 8x + 51", "Subtract 8x from both sides: 4x - 13 = 51", "Add 13 to both sides: 4x = 64", "Divide both sides by 4: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 9) + 95 = 8x + 51", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"c\": 95, \"d\": 8, \"f\": 51, \"x\": 16}", "seed": "13965056905658165131", "semantic_fingerprint": "sha256:fd1444fdce3be422bf68c457d61da553f7eb57bb68dbc49ac9c902bffcfb8d94", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002327", "prompt": "Find x: 9(x - 52) + 672 = -3(x - 88)", "solution_steps": ["Expand: 9x - 468 + 672 = -3(x - 88)", "Expand: 9x - 468 + 672 = -3x + 264", "Combine constants: 9x + 204 = -3x + 264", "Add 3x to both sides: 12x + 204 = 264", "Subtract 204 from both sides: 12x = 60", "Divide both sides by 12: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 52) + 672 = -3(x - 88)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 52, \"c\": -3, \"d\": 88, \"f\": 672, \"x\": 5}", "seed": "2687932726126066212", "semantic_fingerprint": "sha256:0d87a3c8b160546e556e7a0a9653accc92315afe9884fd31e88e9b0babe67a82", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002328", "prompt": "Calculate: -4 / (8 / (38 * (-6)))", "solution_steps": ["Multiply: 38 * (-6) = -228", "Divide: 8 / (-228) = -2/57", "Divide: -4 / (-2/57) = 114"], "final_answer": "114", "answer_type": "integer", "kind": "expression", "math_text": "-4 / (8 / (38 * (-6)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 8, \"c\": 38, \"d\": -6}", "seed": "4425497751901185328", "semantic_fingerprint": "sha256:a2b23468de60da8e51d690bc804c5cabc6fd32dad6aeef0dcabba16f20bcc264", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002329", "prompt": "Calculate: (32 + 81) / (8 + 9) - 2", "solution_steps": ["Add: 32 + 81 = 113", "Add: 8 + 9 = 17", "Divide: 113 / 17 = 113/17", "Subtract: 113/17 - 2 = 79/17"], "final_answer": "79/17", "answer_type": "rational", "kind": "expression", "math_text": "(32 + 81) / (8 + 9) - 2", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": 81, \"c\": 8, \"d\": 9, \"e\": 2}", "seed": "4228489595486200784", "semantic_fingerprint": "sha256:2d0f726fbb44ade81918a57cc1c513f718c1fe8cd20697df081c3cf713726f51", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002330", "prompt": "Compute: 91 + (31 + 8) - 894", "solution_steps": ["Add: 31 + 8 = 39", "Add: 91 + 39 = 130", "Subtract: 130 - 894 = -764"], "final_answer": "-764", "answer_type": "integer", "kind": "expression", "math_text": "91 + (31 + 8) - 894", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": 31, \"c\": 8, \"d\": 894}", "seed": "9163548298583986558", "semantic_fingerprint": "sha256:1bc3f887f3acc2137dec8240f0a5fa353b87c640400018d469cc89b942b96057", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002331", "prompt": "Solve for x: 2(x - 5) = 6x - 50", "solution_steps": ["Expand: 2x - 10 = 6x - 50", "Subtract 6x from both sides: -4x - 10 = -50", "Add 10 to both sides: -4x = -40", "Divide both sides by -4: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 5) = 6x - 50", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": 6, \"e\": -50, \"x\": 10}", "seed": "11776508861845704214", "semantic_fingerprint": "sha256:1396c032d7eb3ed5e93d1feedb3237054387876fcae41df1b56bd94cc0ba7d37", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002332", "prompt": "What value of x satisfies 3(x - 28) + 108 = 7(x - 8)?", "solution_steps": ["Expand: 3x - 84 + 108 = 7(x - 8)", "Expand: 3x - 84 + 108 = 7x - 56", "Combine constants: 3x + 24 = 7x - 56", "Subtract 7x from both sides: -4x + 24 = -56", "Subtract 24 from both sides: -4x = -80", "Divide both sides by -4: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 28) + 108 = 7(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 28, \"c\": 7, \"d\": 8, \"f\": 108, \"x\": 20}", "seed": "9429865238272879338", "semantic_fingerprint": "sha256:065e7295f2e29e44669385b372a2378e6a2a94d3a15dc6f9a500d200ffc13d40", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002333", "prompt": "Evaluate: -244 - (55 + (-9)) + (-56)", "solution_steps": ["Add: 55 + (-9) = 46", "Subtract: -244 - 46 = -290", "Add: -290 + (-56) = -346"], "final_answer": "-346", "answer_type": "integer", "kind": "expression", "math_text": "-244 - (55 + (-9)) + (-56)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -244, \"b\": 55, \"c\": -9, \"d\": -56}", "seed": "4688219498087292105", "semantic_fingerprint": "sha256:8c043abc13e7111f8118099803ee66b352ac237a6c40ecb221dd26355e7ba836", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002334", "prompt": "What value of x satisfies -9(x + 71) - 4 = x - 653?", "solution_steps": ["Expand: -9x - 639 - 4 = x - 653", "Combine constants: -9x - 643 = x - 653", "Subtract x from both sides: -10x - 643 = -653", "Add 643 to both sides: -10x = -10", "Divide both sides by -10: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 71) - 4 = x - 653", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 71, \"c\": 4, \"e\": -653, \"x\": 1}", "seed": "2908865352601115397", "semantic_fingerprint": "sha256:dec14fe1942f94dd302ebe263defd87288b8cef05799c3d9b132447e4eb9e5c6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002335", "prompt": "What is 30 - (24 + (-7)) + 1?", "solution_steps": ["Add: 24 + (-7) = 17", "Subtract: 30 - 17 = 13", "Add: 13 + 1 = 14"], "final_answer": "14", "answer_type": "integer", "kind": "expression", "math_text": "30 - (24 + (-7)) + 1", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 24, \"c\": -7, \"d\": 1}", "seed": "14429731846167063163", "semantic_fingerprint": "sha256:f2a261280b34e3809548b71105a9d9d002167a7b991141fe0ccf2a4c588e0176", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002336", "prompt": "Solve for x: -9(x - 1) = 6x - 111", "solution_steps": ["Expand: -9x + 9 = 6x - 111", "Subtract 6x from both sides: -15x + 9 = -111", "Subtract 9 from both sides: -15x = -120", "Divide both sides by -15: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 1) = 6x - 111", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 1, \"c\": 6, \"e\": -111, \"x\": 8}", "seed": "11741819661598703707", "semantic_fingerprint": "sha256:f1bef1c5b2e630a1775e830106d411d9596394ddf96fd82f130b9e29a2488dc8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002337", "prompt": "Solve for x: 3(x + 37) - 900 = x - 785", "solution_steps": ["Expand: 3x + 111 - 900 = x - 785", "Combine constants: 3x - 789 = x - 785", "Subtract x from both sides: 2x - 789 = -785", "Add 789 to both sides: 2x = 4", "Divide both sides by 2: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 37) - 900 = x - 785", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 37, \"c\": 900, \"e\": -785, \"x\": 2}", "seed": "60611294074361867", "semantic_fingerprint": "sha256:800565f32ed1fd0c902992c1404f2f6625cca78db2e1df209d2cde1634c0ec59", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002338", "prompt": "Evaluate: -528 - (-599 + 0) / (6 * (-79))", "solution_steps": ["Add: -599 + 0 = -599", "Multiply: 6 * (-79) = -474", "Divide: -599 / (-474) = 599/474", "Subtract: -528 - 599/474 = -250871/474"], "final_answer": "-250871/474", "answer_type": "rational", "kind": "expression", "math_text": "-528 - (-599 + 0) / (6 * (-79))", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -528, \"b\": -599, \"c\": 0, \"d\": 6, \"e\": -79}", "seed": "7109344044345303316", "semantic_fingerprint": "sha256:66b25900f8e05f1497be7dce9ed018b0218e529fcb2ccc93eede8ab413f3eba6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002339", "prompt": "Evaluate: (-78 / 9 - 63 * 2) * (5 - 0)", "solution_steps": ["Divide: -78 / 9 = -26/3", "Multiply: 63 * 2 = 126", "Subtract: -26/3 - 126 = -404/3", "Subtract: 5 - 0 = 5", "Multiply: (-404/3) * 5 = -2020/3"], "final_answer": "-2020/3", "answer_type": "rational", "kind": "expression", "math_text": "(-78 / 9 - 63 * 2) * (5 - 0)", "variable": null, "family": "expression_5op", "shape": "(* (- (/ n n) (* n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": 9, \"c\": 63, \"d\": 2, \"e\": 5, \"f\": 0}", "seed": "12697223350317744143", "semantic_fingerprint": "sha256:9233f40acb5c8a073afdf58a62ab98ca3a5e9ed06501de3ba03a16b6b5959698", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002340", "prompt": "What is -17 - (-96) * 995 - (-803)?", "solution_steps": ["Multiply: -96 * 995 = -95520", "Subtract: -17 - (-95520) = 95503", "Subtract: 95503 - (-803) = 96306"], "final_answer": "96306", "answer_type": "integer", "kind": "expression", "math_text": "-17 - (-96) * 995 - (-803)", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": -96, \"c\": 995, \"d\": -803}", "seed": "954669702508559076", "semantic_fingerprint": "sha256:b3191f1a105347e5bc9e91225c77e723b46c06cec7401d0c102cd55a79575666", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002341", "prompt": "Calculate: 455 + 7 * (-184 - 9) + 16 + 8", "solution_steps": ["Subtract: -184 - 9 = -193", "Multiply: 7 * (-193) = -1351", "Add: 455 + (-1351) = -896", "Add: -896 + 16 = -880", "Add: -880 + 8 = -872"], "final_answer": "-872", "answer_type": "integer", "kind": "expression", "math_text": "455 + 7 * (-184 - 9) + 16 + 8", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ n (* n (- n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 455, \"b\": 7, \"c\": -184, \"d\": 9, \"e\": 16, \"f\": 8}", "seed": "4285585105110909701", "semantic_fingerprint": "sha256:50eb421f054b33deb461224d7bf11f7db0ad23366ea1581d9fe3594a904aaad8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002342", "prompt": "What value of x satisfies -6(x - 9) + 58 = 3(x - 72)?", "solution_steps": ["Expand: -6x + 54 + 58 = 3(x - 72)", "Expand: -6x + 54 + 58 = 3x - 216", "Combine constants: -6x + 112 = 3x - 216", "Subtract 3x from both sides: -9x + 112 = -216", "Subtract 112 from both sides: -9x = -328", "Divide both sides by -9: x = 328/9"], "final_answer": "328/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 9) + 58 = 3(x - 72)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 9, \"c\": 58, \"d\": 3, \"e\": 72}", "seed": "11677004077195102135", "semantic_fingerprint": "sha256:f05b5b92b2358e8a7ca5c058081f3e00458ef1906ce41e4989f55187b86d65b2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002343", "prompt": "Evaluate: (-591 + (866 - 1)) * (99 / (-1) - (-2))", "solution_steps": ["Subtract: 866 - 1 = 865", "Add: -591 + 865 = 274", "Divide: 99 / (-1) = -99", "Subtract: -99 - (-2) = -97", "Multiply: 274 * (-97) = -26578"], "final_answer": "-26578", "answer_type": "integer", "kind": "expression", "math_text": "(-591 + (866 - 1)) * (99 / (-1) - (-2))", "variable": null, "family": "expression_5op", "shape": "(* (+ n (- n n)) (- (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -591, \"b\": 866, \"c\": 1, \"d\": 99, \"e\": -1, \"f\": -2}", "seed": "3818495842052634641", "semantic_fingerprint": "sha256:44d7a8dd1bd8a93f3b7cec66a41047c3e5851be6f77115e3955ad2b9eb58036f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002344", "prompt": "What is (-32 / 9 + (-4)) * (-50)?", "solution_steps": ["Divide: -32 / 9 = -32/9", "Add: -32/9 + (-4) = -68/9", "Multiply: (-68/9) * (-50) = 3400/9"], "final_answer": "3400/9", "answer_type": "rational", "kind": "expression", "math_text": "(-32 / 9 + (-4)) * (-50)", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": 9, \"c\": -4, \"d\": -50}", "seed": "6767472216139340524", "semantic_fingerprint": "sha256:76aee4f6e08779fa7b07353b7b3c72dde286e4dcabd7d1872b3dfcdd611f313d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002345", "prompt": "What value of x satisfies 11(x - 85) - 7 = 8(x - 73) - 364?", "solution_steps": ["Expand: 11x - 935 - 7 = 8(x - 73) - 364", "Expand: 11x - 935 - 7 = 8x - 584 - 364", "Combine constants: 11x - 942 = 8x - 584 - 364", "Combine constants: 11x - 942 = 8x - 948", "Subtract 8x from both sides: 3x - 942 = -948", "Add 942 to both sides: 3x = -6", "Divide both sides by 3: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 85) - 7 = 8(x - 73) - 364", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 85, \"c\": 7, \"d\": 8, \"e\": 73, \"g\": -364, \"x\": -2}", "seed": "12089154358559652125", "semantic_fingerprint": "sha256:057d016111fb4fff4aff502a765d1e7fec93f713f41eeaf4faf62f4180a734f3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002346", "prompt": "Solve the equation -5(x - 55) - 1 = 4(x - 4) for x.", "solution_steps": ["Expand: -5x + 275 - 1 = 4(x - 4)", "Expand: -5x + 275 - 1 = 4x - 16", "Combine constants: -5x + 274 = 4x - 16", "Subtract 4x from both sides: -9x + 274 = -16", "Subtract 274 from both sides: -9x = -290", "Divide both sides by -9: x = 290/9"], "final_answer": "290/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 55) - 1 = 4(x - 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 55, \"c\": 1, \"d\": 4, \"e\": 4}", "seed": "11097062684169312092", "semantic_fingerprint": "sha256:f68058e671a0c174d7724ac900a6d9fbc4cf07154bfab1f6515426e9cbc1e58e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002347", "prompt": "Compute: (-33 - 71) * (0 / 8)", "solution_steps": ["Subtract: -33 - 71 = -104", "Divide: 0 / 8 = 0", "Multiply: -104 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-33 - 71) * (0 / 8)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": 71, \"c\": 0, \"d\": 8}", "seed": "5741895987465001052", "semantic_fingerprint": "sha256:aabe3631b388d280fdc8cce23b747f91142c6672c18a13773d9a478b0d2b72ca", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002348", "prompt": "Solve for x: 5(x - 63) + 4 = 2(x + 1) - 319", "solution_steps": ["Expand: 5x - 315 + 4 = 2(x + 1) - 319", "Expand: 5x - 315 + 4 = 2x + 2 - 319", "Combine constants: 5x - 311 = 2x + 2 - 319", "Combine constants: 5x - 311 = 2x - 317", "Subtract 2x from both sides: 3x - 311 = -317", "Add 311 to both sides: 3x = -6", "Divide both sides by 3: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 63) + 4 = 2(x + 1) - 319", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 63, \"c\": 4, \"d\": 2, \"e\": 1, \"g\": -319, \"x\": -2}", "seed": "847251261226509102", "semantic_fingerprint": "sha256:68e8f20c03a1be00fdd3e2779ac9769dc778fc4d6197255fad171ae24b02ac8b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002349", "prompt": "Calculate: (9 + (-37) + 4) * (-32)", "solution_steps": ["Add: 9 + (-37) = -28", "Add: -28 + 4 = -24", "Multiply: -24 * (-32) = 768"], "final_answer": "768", "answer_type": "integer", "kind": "expression", "math_text": "(9 + (-37) + 4) * (-32)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -37, \"c\": 4, \"d\": -32}", "seed": "13246259985423863642", "semantic_fingerprint": "sha256:795bd271663ccdfdd8b084c53700b54648b8f0b9b67093fd79f2c221184a09df", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002350", "prompt": "What value of x satisfies 8(x - 8) + 3 = 9(x + 3) - 70?", "solution_steps": ["Expand: 8x - 64 + 3 = 9(x + 3) - 70", "Expand: 8x - 64 + 3 = 9x + 27 - 70", "Combine constants: 8x - 61 = 9x + 27 - 70", "Combine constants: 8x - 61 = 9x - 43", "Subtract 9x from both sides: -x - 61 = -43", "Add 61 to both sides: -x = 18", "Divide both sides by -1: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 8) + 3 = 9(x + 3) - 70", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": 3, \"d\": 9, \"e\": 3, \"g\": -70, \"x\": -18}", "seed": "12672306462808877191", "semantic_fingerprint": "sha256:a16fda4079d12bc36c9162ae4c3163eaa68c26bc404736f4dd2cf7c5cf1aa40b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002351", "prompt": "Evaluate: (5 - 5) / (-521 - (-4) * (-146))", "solution_steps": ["Subtract: 5 - 5 = 0", "Multiply: -4 * (-146) = 584", "Subtract: -521 - 584 = -1105", "Divide: 0 / (-1105) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(5 - 5) / (-521 - (-4) * (-146))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 5, \"c\": -521, \"d\": -4, \"e\": -146}", "seed": "5851175571604992140", "semantic_fingerprint": "sha256:8ca0d67f8ff6972d1f1db7ed99f8f3eb57c334880d92e527bacfe0c4f5dada04", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002352", "prompt": "Calculate: -64 + 56 * (-2) * (-8 * (-81) - 2)", "solution_steps": ["Multiply: 56 * (-2) = -112", "Multiply: -8 * (-81) = 648", "Subtract: 648 - 2 = 646", "Multiply: -112 * 646 = -72352", "Add: -64 + (-72352) = -72416"], "final_answer": "-72416", "answer_type": "integer", "kind": "expression", "math_text": "-64 + 56 * (-2) * (-8 * (-81) - 2)", "variable": null, "family": "expression_5op", "shape": "(+ n (* (* n n) (- (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": 56, \"c\": -2, \"d\": -8, \"e\": -81, \"f\": 2}", "seed": "10369661409267741373", "semantic_fingerprint": "sha256:c7bfb4990758835f0646ef21a0267493d8b00c9c3cc9401a93564013d90a5692", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002353", "prompt": "Calculate: 31 - (916 * 3 + 90)", "solution_steps": ["Multiply: 916 * 3 = 2748", "Add: 2748 + 90 = 2838", "Subtract: 31 - 2838 = -2807"], "final_answer": "-2807", "answer_type": "integer", "kind": "expression", "math_text": "31 - (916 * 3 + 90)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 916, \"c\": 3, \"d\": 90}", "seed": "16337187394129155121", "semantic_fingerprint": "sha256:01fe63df1ef9345158ce1b643db065e34527665be1153e85b7c0345e48b6d922", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002354", "prompt": "What value of x satisfies -10(x - 2) + 867 = -12(x + 223) - 7?", "solution_steps": ["Expand: -10x + 20 + 867 = -12(x + 223) - 7", "Expand: -10x + 20 + 867 = -12x - 2676 - 7", "Combine constants: -10x + 887 = -12x - 2676 - 7", "Combine constants: -10x + 887 = -12x - 2683", "Add 12x to both sides: 2x + 887 = -2683", "Subtract 887 from both sides: 2x = -3570", "Divide both sides by 2: x = -1785"], "final_answer": "-1785", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 2) + 867 = -12(x + 223) - 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 2, \"c\": 867, \"d\": -12, \"e\": 223, \"f\": 7}", "seed": "11265510701754316739", "semantic_fingerprint": "sha256:a7fb29f003392eee21795e789418b3d3db339e119e500cab0d6cb36908a7ae33", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002355", "prompt": "What is -3 / (-23 / ((717 - (-4)) * 3))?", "solution_steps": ["Subtract: 717 - (-4) = 721", "Multiply: 721 * 3 = 2163", "Divide: -23 / 2163 = -23/2163", "Divide: -3 / (-23/2163) = 6489/23"], "final_answer": "6489/23", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-23 / ((717 - (-4)) * 3))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ n (* (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -23, \"c\": 717, \"d\": -4, \"e\": 3}", "seed": "6261545240751337848", "semantic_fingerprint": "sha256:a0b28dbc4b140594969658826e76875212fadf658b2f69bf2daa1d40d5ab1d1d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002356", "prompt": "Solve the equation 7(x - 17) = 6x - 106 for x.", "solution_steps": ["Expand: 7x - 119 = 6x - 106", "Subtract 6x from both sides: x - 119 = -106", "Add 119 to both sides: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 17) = 6x - 106", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 17, \"c\": 6, \"e\": -106, \"x\": 13}", "seed": "9055453186851256186", "semantic_fingerprint": "sha256:7241e417be881e5fb6fa3b36390fc32a7e4d5440005fe890157cb8578949c9bf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002357", "prompt": "Find x: x - 51 = 7(x - 3) + 3", "solution_steps": ["Expand: x - 51 = 7x - 21 + 3", "Combine constants: x - 51 = 7x - 18", "Subtract 7x from both sides: -6x - 51 = -18", "Add 51 to both sides: -6x = 33", "Divide both sides by -6: x = -11/2"], "final_answer": "-11/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 51 = 7(x - 3) + 3", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 7, \"c\": 3, \"d\": 3}", "seed": "15126982436620060983", "semantic_fingerprint": "sha256:00e1997ed072deb4a78b72c3ed70e599c86644da99832255004a5a38b1192165", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002358", "prompt": "What is 1 / (1 * 8) - 20?", "solution_steps": ["Multiply: 1 * 8 = 8", "Divide: 1 / 8 = 1/8", "Subtract: 1/8 - 20 = -159/8"], "final_answer": "-159/8", "answer_type": "rational", "kind": "expression", "math_text": "1 / (1 * 8) - 20", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 1, \"c\": 8, \"d\": 20}", "seed": "8389017586265969865", "semantic_fingerprint": "sha256:df660d9ef4d9a2083da86ab4d1c5e5f3b6a980f7edad0e5cd934b011a1749fd1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002359", "prompt": "What value of x satisfies 12(x + 8) + 92 = 5(x + 132) - 24?", "solution_steps": ["Expand: 12x + 96 + 92 = 5(x + 132) - 24", "Expand: 12x + 96 + 92 = 5x + 660 - 24", "Combine constants: 12x + 188 = 5x + 660 - 24", "Combine constants: 12x + 188 = 5x + 636", "Subtract 5x from both sides: 7x + 188 = 636", "Subtract 188 from both sides: 7x = 448", "Divide both sides by 7: x = 64"], "final_answer": "64", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 8) + 92 = 5(x + 132) - 24", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"c\": 92, \"d\": 5, \"e\": 132, \"f\": 24}", "seed": "10939175553151778067", "semantic_fingerprint": "sha256:e12c603b9bcc94fc3396711cf27e646c697411f5281e194dc38167f6e1483828", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002360", "prompt": "Compute: (2 - (-94)) / (480 / 4 + (1 + (-71)))", "solution_steps": ["Subtract: 2 - (-94) = 96", "Divide: 480 / 4 = 120", "Add: 1 + (-71) = -70", "Add: 120 + (-70) = 50", "Divide: 96 / 50 = 48/25"], "final_answer": "48/25", "answer_type": "rational", "kind": "expression", "math_text": "(2 - (-94)) / (480 / 4 + (1 + (-71)))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (+ (/ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -94, \"c\": 480, \"d\": 4, \"e\": 1, \"f\": -71}", "seed": "14828408106708320281", "semantic_fingerprint": "sha256:5db4a1cc3d0ce25a948fbb1903a9db960a860ba181cc1576164e72c6bbd7b650", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002361", "prompt": "Calculate: 6 * (-334) + (8 + (-47)) - 73", "solution_steps": ["Multiply: 6 * (-334) = -2004", "Add: 8 + (-47) = -39", "Add: -2004 + (-39) = -2043", "Subtract: -2043 - 73 = -2116"], "final_answer": "-2116", "answer_type": "integer", "kind": "expression", "math_text": "6 * (-334) + (8 + (-47)) - 73", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -334, \"c\": 8, \"d\": -47, \"e\": 73}", "seed": "6066138893329738408", "semantic_fingerprint": "sha256:6e27def1c738e164f772014957dd30544769180f3c25ecdd55c6c9199594f920", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002362", "prompt": "Find x: -6(x - 5) - 297 = 7(x - 1)", "solution_steps": ["Expand: -6x + 30 - 297 = 7(x - 1)", "Expand: -6x + 30 - 297 = 7x - 7", "Combine constants: -6x - 267 = 7x - 7", "Subtract 7x from both sides: -13x - 267 = -7", "Add 267 to both sides: -13x = 260", "Divide both sides by -13: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 5) - 297 = 7(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 5, \"c\": 7, \"d\": 1, \"f\": -297, \"x\": -20}", "seed": "4909024593381264797", "semantic_fingerprint": "sha256:b8067a323732ce89caca74d3b6d4955fd7233b4149d9302c6d5d965a28cfb6a9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002363", "prompt": "What value of x satisfies 5(x - 55) - 2 = 6(x - 7) - 232?", "solution_steps": ["Expand: 5x - 275 - 2 = 6(x - 7) - 232", "Expand: 5x - 275 - 2 = 6x - 42 - 232", "Combine constants: 5x - 277 = 6x - 42 - 232", "Combine constants: 5x - 277 = 6x - 274", "Subtract 6x from both sides: -x - 277 = -274", "Add 277 to both sides: -x = 3", "Divide both sides by -1: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 55) - 2 = 6(x - 7) - 232", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 55, \"c\": 2, \"d\": 6, \"e\": 7, \"g\": -232, \"x\": -3}", "seed": "1019212241465125768", "semantic_fingerprint": "sha256:df23bab9177763322300aaef5f1119c821969b726a877118bb9c291ce71a2743", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002364", "prompt": "Calculate: 67 * (-18) + 8 * (118 - 83)", "solution_steps": ["Multiply: 67 * (-18) = -1206", "Subtract: 118 - 83 = 35", "Multiply: 8 * 35 = 280", "Add: -1206 + 280 = -926"], "final_answer": "-926", "answer_type": "integer", "kind": "expression", "math_text": "67 * (-18) + 8 * (118 - 83)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -18, \"c\": 8, \"d\": 118, \"e\": 83}", "seed": "9765602961326532619", "semantic_fingerprint": "sha256:3bf948716280b6e31ebcc3531cef3956e3d114e1887d80e71357ae2b838a2ecf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002365", "prompt": "What value of x satisfies -7(x - 80) = 7x - 8?", "solution_steps": ["Expand: -7x + 560 = 7x - 8", "Subtract 7x from both sides: -14x + 560 = -8", "Subtract 560 from both sides: -14x = -568", "Divide both sides by -14: x = 284/7"], "final_answer": "284/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x - 80) = 7x - 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 80, \"c\": 7, \"d\": 8}", "seed": "9250141130173915089", "semantic_fingerprint": "sha256:1e82b85b5194820fc883e1853801941fe291e744704c4a8a5b6f4c69170ce199", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002366", "prompt": "What value of x satisfies 4(x - 5) + 32 = -6x + 92?", "solution_steps": ["Expand: 4x - 20 + 32 = -6x + 92", "Combine constants: 4x + 12 = -6x + 92", "Add 6x to both sides: 10x + 12 = 92", "Subtract 12 from both sides: 10x = 80", "Divide both sides by 10: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 5) + 32 = -6x + 92", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 32, \"d\": -6, \"f\": 92, \"x\": 8}", "seed": "17691433437013648362", "semantic_fingerprint": "sha256:9d6dd5dce0c9c473434ab8ff674f8d8156b99ffab4d233dbaa0812299bb8777c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002367", "prompt": "Evaluate: (450 + 56) / (65 / (-5))", "solution_steps": ["Add: 450 + 56 = 506", "Divide: 65 / (-5) = -13", "Divide: 506 / (-13) = -506/13"], "final_answer": "-506/13", "answer_type": "rational", "kind": "expression", "math_text": "(450 + 56) / (65 / (-5))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 450, \"b\": 56, \"c\": 65, \"d\": -5}", "seed": "6995819774595252780", "semantic_fingerprint": "sha256:bfba4c6c6c3425fed2646328f1baa0f9a05eef0f5fc9c8afe7e4e76351fcad4a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002368", "prompt": "What value of x satisfies 12(x - 78) + 9 = 8(x - 838)?", "solution_steps": ["Expand: 12x - 936 + 9 = 8(x - 838)", "Expand: 12x - 936 + 9 = 8x - 6704", "Combine constants: 12x - 927 = 8x - 6704", "Subtract 8x from both sides: 4x - 927 = -6704", "Add 927 to both sides: 4x = -5777", "Divide both sides by 4: x = -5777/4"], "final_answer": "-5777/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 78) + 9 = 8(x - 838)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 78, \"c\": 9, \"d\": 8, \"e\": 838}", "seed": "18404889080840041445", "semantic_fingerprint": "sha256:60207c06c6bfe6f4afd12d0b950d6d20ab9c0223f1a276771c2d1d6b90070867", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002369", "prompt": "Evaluate: -1 - (-427 + (-67) - 884 + (-465) / 87)", "solution_steps": ["Add: -427 + (-67) = -494", "Subtract: -494 - 884 = -1378", "Divide: -465 / 87 = -155/29", "Add: -1378 + (-155/29) = -40117/29", "Subtract: -1 - (-40117/29) = 40088/29"], "final_answer": "40088/29", "answer_type": "rational", "kind": "expression", "math_text": "-1 - (-427 + (-67) - 884 + (-465) / 87)", "variable": null, "family": "expression_5op", "shape": "(- n (+ (- (+ n n) n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -427, \"c\": -67, \"d\": 884, \"e\": -465, \"f\": 87}", "seed": "12442587581410247314", "semantic_fingerprint": "sha256:003353cf3948f98c4c403720f1353ffdc6e54a66cf7a147911913e38660bca8d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002370", "prompt": "What value of x satisfies 3(x - 82) - 27 = 11(x - 2)?", "solution_steps": ["Expand: 3x - 246 - 27 = 11(x - 2)", "Expand: 3x - 246 - 27 = 11x - 22", "Combine constants: 3x - 273 = 11x - 22", "Subtract 11x from both sides: -8x - 273 = -22", "Add 273 to both sides: -8x = 251", "Divide both sides by -8: x = -251/8"], "final_answer": "-251/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 82) - 27 = 11(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 82, \"c\": 27, \"d\": 11, \"e\": 2}", "seed": "3286100715546996680", "semantic_fingerprint": "sha256:c0e08fb1cbdbfa9a69773a20f02d1e2a2e3cb5f34245bf5835cd3fdd72192585", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002371", "prompt": "Compute: 5 * (-88 + 93 * (-5)) - (-65) + 66", "solution_steps": ["Multiply: 93 * (-5) = -465", "Add: -88 + (-465) = -553", "Multiply: 5 * (-553) = -2765", "Subtract: -2765 - (-65) = -2700", "Add: -2700 + 66 = -2634"], "final_answer": "-2634", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-88 + 93 * (-5)) - (-65) + 66", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n (+ n (* n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -88, \"c\": 93, \"d\": -5, \"e\": -65, \"f\": 66}", "seed": "4519277525748354", "semantic_fingerprint": "sha256:d7a1750b0f1db94e59c6e4776aff4529a61dd37df198482fce7637440c8f33d2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002372", "prompt": "Compute: -65 - 65 * (4 * (283 / (660 + 4)))", "solution_steps": ["Add: 660 + 4 = 664", "Divide: 283 / 664 = 283/664", "Multiply: 4 * (283/664) = 283/166", "Multiply: 65 * (283/166) = 18395/166", "Subtract: -65 - 18395/166 = -29185/166"], "final_answer": "-29185/166", "answer_type": "rational", "kind": "expression", "math_text": "-65 - 65 * (4 * (283 / (660 + 4)))", "variable": null, "family": "expression_5op", "shape": "(- n (* n (* n (/ n (+ n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": 65, \"c\": 4, \"d\": 283, \"e\": 660, \"f\": 4}", "seed": "8036158026259960020", "semantic_fingerprint": "sha256:577bba287749ef571fa455d28eb4134dabc993e64110c79249d1320d1b7a2bea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002373", "prompt": "Evaluate: -1 / 1 - (-26 - (-1) + (-479))", "solution_steps": ["Divide: -1 / 1 = -1", "Subtract: -26 - (-1) = -25", "Add: -25 + (-479) = -504", "Subtract: -1 - (-504) = 503"], "final_answer": "503", "answer_type": "integer", "kind": "expression", "math_text": "-1 / 1 - (-26 - (-1) + (-479))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 1, \"c\": -26, \"d\": -1, \"e\": -479}", "seed": "547272775293811545", "semantic_fingerprint": "sha256:32dc71007e49344b904fefc4e69eb82ec1f650aff456ff32ad916fa9ff98c970", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002374", "prompt": "What is (-85 + 40 * (-430)) / (-690 / (-283))?", "solution_steps": ["Multiply: 40 * (-430) = -17200", "Add: -85 + (-17200) = -17285", "Divide: -690 / (-283) = 690/283", "Divide: -17285 / (690/283) = -978331/138"], "final_answer": "-978331/138", "answer_type": "rational", "kind": "expression", "math_text": "(-85 + 40 * (-430)) / (-690 / (-283))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": 40, \"c\": -430, \"d\": -690, \"e\": -283}", "seed": "2701426152886571720", "semantic_fingerprint": "sha256:eb2d609cdc59f2f1d836bf40f6ba5886fa6003e3ee7d7bc107ba90457cf7ba74", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002375", "prompt": "Evaluate: (5 + (23 + (-65 - 57))) * (-78 / 2)", "solution_steps": ["Subtract: -65 - 57 = -122", "Add: 23 + (-122) = -99", "Add: 5 + (-99) = -94", "Divide: -78 / 2 = -39", "Multiply: -94 * (-39) = 3666"], "final_answer": "3666", "answer_type": "integer", "kind": "expression", "math_text": "(5 + (23 + (-65 - 57))) * (-78 / 2)", "variable": null, "family": "expression_5op", "shape": "(* (+ n (+ n (- n n))) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 23, \"c\": -65, \"d\": 57, \"e\": -78, \"f\": 2}", "seed": "11782074636077790570", "semantic_fingerprint": "sha256:d3f03d0f2724c26a5bec5f6264c81c0c208ad2d42bf78185a5ba239d5d3989ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002376", "prompt": "What value of x satisfies 6(x - 3) - 192 = 2(x - 87)?", "solution_steps": ["Expand: 6x - 18 - 192 = 2(x - 87)", "Expand: 6x - 18 - 192 = 2x - 174", "Combine constants: 6x - 210 = 2x - 174", "Subtract 2x from both sides: 4x - 210 = -174", "Add 210 to both sides: 4x = 36", "Divide both sides by 4: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 3) - 192 = 2(x - 87)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 2, \"d\": 87, \"f\": -192, \"x\": 9}", "seed": "9045023927303153718", "semantic_fingerprint": "sha256:a1b5839ebc78e817a84596878d0d0aadd574410de672011d18bfb98ecc79cada", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002377", "prompt": "What value of x satisfies 4(x - 1) - 30 = 11(x - 1)?", "solution_steps": ["Expand: 4x - 4 - 30 = 11(x - 1)", "Expand: 4x - 4 - 30 = 11x - 11", "Combine constants: 4x - 34 = 11x - 11", "Subtract 11x from both sides: -7x - 34 = -11", "Add 34 to both sides: -7x = 23", "Divide both sides by -7: x = -23/7"], "final_answer": "-23/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 1) - 30 = 11(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 30, \"d\": 11, \"e\": 1}", "seed": "13420797653177245761", "semantic_fingerprint": "sha256:f5a639cc848288cdfdda51959a180398edbf649aaf547f7f523083f90ac445be", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002378", "prompt": "Solve the equation 4(x - 34) - 224 = 8(x - 50) for x.", "solution_steps": ["Expand: 4x - 136 - 224 = 8(x - 50)", "Expand: 4x - 136 - 224 = 8x - 400", "Combine constants: 4x - 360 = 8x - 400", "Subtract 8x from both sides: -4x - 360 = -400", "Add 360 to both sides: -4x = -40", "Divide both sides by -4: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 34) - 224 = 8(x - 50)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 34, \"c\": 8, \"d\": 50, \"f\": -224, \"x\": 10}", "seed": "11847121962619790954", "semantic_fingerprint": "sha256:8430f4db36949e1b927b22022982fb69cd1fe87431aa4a41f860a4dd4cc86f5c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002379", "prompt": "Evaluate: 638 / (44 * (-4)) / (1 + (-87) - (-7))", "solution_steps": ["Multiply: 44 * (-4) = -176", "Divide: 638 / (-176) = -29/8", "Add: 1 + (-87) = -86", "Subtract: -86 - (-7) = -79", "Divide: (-29/8) / (-79) = 29/632"], "final_answer": "29/632", "answer_type": "rational", "kind": "expression", "math_text": "638 / (44 * (-4)) / (1 + (-87) - (-7))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n (* n n)) (- (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 638, \"b\": 44, \"c\": -4, \"d\": 1, \"e\": -87, \"f\": -7}", "seed": "7951020895589093727", "semantic_fingerprint": "sha256:1d7f49a1eb0dd209a657cdacd57eb91a7b1e01c7a0d51f07c4bb1e0de02dbe47", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002380", "prompt": "Calculate: 350 + 9 - (-8 + 48)", "solution_steps": ["Add: 350 + 9 = 359", "Add: -8 + 48 = 40", "Subtract: 359 - 40 = 319"], "final_answer": "319", "answer_type": "integer", "kind": "expression", "math_text": "350 + 9 - (-8 + 48)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 350, \"b\": 9, \"c\": -8, \"d\": 48}", "seed": "9005677621180542424", "semantic_fingerprint": "sha256:28bafe5675eb510ab2a9cb7f439ecf8aa6151d943922b31b83f5febea11a5beb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002381", "prompt": "Find x: 4(x + 67) - 688 = x - 474", "solution_steps": ["Expand: 4x + 268 - 688 = x - 474", "Combine constants: 4x - 420 = x - 474", "Subtract x from both sides: 3x - 420 = -474", "Add 420 to both sides: 3x = -54", "Divide both sides by 3: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 67) - 688 = x - 474", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 67, \"c\": 688, \"e\": -474, \"x\": -18}", "seed": "4995745702035730214", "semantic_fingerprint": "sha256:6045c7389246811c0555fcaadea337036a84db23c7037e488b716c4322779931", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002382", "prompt": "Solve the equation 6(x - 9) - 250 = 7(x - 4) - 289 for x.", "solution_steps": ["Expand: 6x - 54 - 250 = 7(x - 4) - 289", "Expand: 6x - 54 - 250 = 7x - 28 - 289", "Combine constants: 6x - 304 = 7x - 28 - 289", "Combine constants: 6x - 304 = 7x - 317", "Subtract 7x from both sides: -x - 304 = -317", "Add 304 to both sides: -x = -13", "Divide both sides by -1: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 9) - 250 = 7(x - 4) - 289", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 250, \"d\": 7, \"e\": 4, \"g\": -289, \"x\": 13}", "seed": "16280726649212966277", "semantic_fingerprint": "sha256:60c65d96a6dfba77c1780e070bd95dba3159fe11ed668bc49e460ceae5ed28b5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002383", "prompt": "Calculate: 487 - 38 / (-78 * 40)", "solution_steps": ["Multiply: -78 * 40 = -3120", "Divide: 38 / (-3120) = -19/1560", "Subtract: 487 - (-19/1560) = 759739/1560"], "final_answer": "759739/1560", "answer_type": "rational", "kind": "expression", "math_text": "487 - 38 / (-78 * 40)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 487, \"b\": 38, \"c\": -78, \"d\": 40}", "seed": "1797046051717843261", "semantic_fingerprint": "sha256:c662d469914bfb08f005e2e2b576b5de9ea83da323c28f86d5772110199a2258", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002384", "prompt": "Solve the equation 3(x - 90) - 85 = 2(x - 9) - 352 for x.", "solution_steps": ["Expand: 3x - 270 - 85 = 2(x - 9) - 352", "Expand: 3x - 270 - 85 = 2x - 18 - 352", "Combine constants: 3x - 355 = 2x - 18 - 352", "Combine constants: 3x - 355 = 2x - 370", "Subtract 2x from both sides: x - 355 = -370", "Add 355 to both sides: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 90) - 85 = 2(x - 9) - 352", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 90, \"c\": 85, \"d\": 2, \"e\": 9, \"g\": -352, \"x\": -15}", "seed": "237935762788730224", "semantic_fingerprint": "sha256:6dbbfc4e5f63d4022b695399a15b8ed94c1201b54d56c5c3fc0b2ddd454fd490", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002385", "prompt": "Calculate: -35 / (0 - 66) / 2 + 9", "solution_steps": ["Subtract: 0 - 66 = -66", "Divide: -35 / (-66) = 35/66", "Divide: (35/66) / 2 = 35/132", "Add: 35/132 + 9 = 1223/132"], "final_answer": "1223/132", "answer_type": "rational", "kind": "expression", "math_text": "-35 / (0 - 66) / 2 + 9", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": 0, \"c\": 66, \"d\": 2, \"e\": 9}", "seed": "7025930450421212517", "semantic_fingerprint": "sha256:b66aea34f3ad3b37229ec504c624ed4941cc2b2951fd1d0a652d6e4702d25b91", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002386", "prompt": "What value of x satisfies 6(x - 8) = 8x - 2?", "solution_steps": ["Expand: 6x - 48 = 8x - 2", "Subtract 8x from both sides: -2x - 48 = -2", "Add 48 to both sides: -2x = 46", "Divide both sides by -2: x = -23"], "final_answer": "-23", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 8) = 8x - 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 8, \"d\": 2}", "seed": "2798635470071555459", "semantic_fingerprint": "sha256:6c1a1e8dcbf86192dc62babf8f1f8c28a0e66dd7f36ed10c62e374ebad751ef1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002387", "prompt": "What value of x satisfies 5(x - 696) + 599 = 10x + 2?", "solution_steps": ["Expand: 5x - 3480 + 599 = 10x + 2", "Combine constants: 5x - 2881 = 10x + 2", "Subtract 10x from both sides: -5x - 2881 = 2", "Add 2881 to both sides: -5x = 2883", "Divide both sides by -5: x = -2883/5"], "final_answer": "-2883/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 696) + 599 = 10x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 696, \"c\": 599, \"d\": 10, \"e\": 2}", "seed": "5880974113250034412", "semantic_fingerprint": "sha256:05cc71d54588fd97f92f27ce16df7b2d2302ff7e99b703cb6564d323bcd6d994", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002388", "prompt": "Calculate: 815 * (-74) - (9 - 7) * (-94)", "solution_steps": ["Multiply: 815 * (-74) = -60310", "Subtract: 9 - 7 = 2", "Multiply: 2 * (-94) = -188", "Subtract: -60310 - (-188) = -60122"], "final_answer": "-60122", "answer_type": "integer", "kind": "expression", "math_text": "815 * (-74) - (9 - 7) * (-94)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 815, \"b\": -74, \"c\": 9, \"d\": 7, \"e\": -94}", "seed": "12631465068509934459", "semantic_fingerprint": "sha256:c181e8017762f88ebb208467a84c5f5e9ee4bc529764eb100c10e9a1eab5b60a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002389", "prompt": "Find x: 4(x - 36) - 8 = -4(x - 90)", "solution_steps": ["Expand: 4x - 144 - 8 = -4(x - 90)", "Expand: 4x - 144 - 8 = -4x + 360", "Combine constants: 4x - 152 = -4x + 360", "Add 4x to both sides: 8x - 152 = 360", "Add 152 to both sides: 8x = 512", "Divide both sides by 8: x = 64"], "final_answer": "64", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 36) - 8 = -4(x - 90)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 36, \"c\": 8, \"d\": -4, \"e\": 90}", "seed": "18443449230771317235", "semantic_fingerprint": "sha256:412f46f55a84a85daeef638ba433173f0f8f27758aa4fabcba759c1a55c68be7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002390", "prompt": "Solve the equation -2(x - 4) + 1 = -11x + 31 for x.", "solution_steps": ["Expand: -2x + 8 + 1 = -11x + 31", "Combine constants: -2x + 9 = -11x + 31", "Add 11x to both sides: 9x + 9 = 31", "Subtract 9 from both sides: 9x = 22", "Divide both sides by 9: x = 22/9"], "final_answer": "22/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 4) + 1 = -11x + 31", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 4, \"c\": 1, \"d\": -11, \"e\": 31}", "seed": "8970945867970880096", "semantic_fingerprint": "sha256:9bf0b375877db1acb67902606421ab2b1e6a9badd92b2b296b62ee9c10310d92", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002391", "prompt": "What value of x satisfies -10(x - 5) = 6x - 2?", "solution_steps": ["Expand: -10x + 50 = 6x - 2", "Subtract 6x from both sides: -16x + 50 = -2", "Subtract 50 from both sides: -16x = -52", "Divide both sides by -16: x = 13/4"], "final_answer": "13/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 5) = 6x - 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 5, \"c\": 6, \"d\": 2}", "seed": "14111840693605794457", "semantic_fingerprint": "sha256:a676510e732099f6e9aff8e20f8bc18642ba0779d39439f680ee2223aa0e39db", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002392", "prompt": "What is -62 / 722 + 86 - 0 / (-960)?", "solution_steps": ["Divide: -62 / 722 = -31/361", "Add: -31/361 + 86 = 31015/361", "Divide: 0 / (-960) = 0", "Subtract: 31015/361 - 0 = 31015/361"], "final_answer": "31015/361", "answer_type": "rational", "kind": "expression", "math_text": "-62 / 722 + 86 - 0 / (-960)", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": 722, \"c\": 86, \"d\": 0, \"e\": -960}", "seed": "8920505491087289965", "semantic_fingerprint": "sha256:6fc7b9280c9b7d56e24801eedc3a6368f28eef06e387a1c8075faf067a5ecdf1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002393", "prompt": "Evaluate: (-3 - 72) * (-41) * (-45)", "solution_steps": ["Subtract: -3 - 72 = -75", "Multiply: -75 * (-41) = 3075", "Multiply: 3075 * (-45) = -138375"], "final_answer": "-138375", "answer_type": "integer", "kind": "expression", "math_text": "(-3 - 72) * (-41) * (-45)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 72, \"c\": -41, \"d\": -45}", "seed": "15060827068964492087", "semantic_fingerprint": "sha256:5b6ef82d6ef1ca13d4246791b6d59327a57df02f684c0465798031dfb53d27d3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002394", "prompt": "Calculate: 9 * (2 - 8) * (-55 / (-72))", "solution_steps": ["Subtract: 2 - 8 = -6", "Multiply: 9 * (-6) = -54", "Divide: -55 / (-72) = 55/72", "Multiply: -54 * (55/72) = -165/4"], "final_answer": "-165/4", "answer_type": "rational", "kind": "expression", "math_text": "9 * (2 - 8) * (-55 / (-72))", "variable": null, "family": "expression_4op", "shape": "(* (* n (- n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 8, \"d\": -55, \"e\": -72}", "seed": "17888462612752022205", "semantic_fingerprint": "sha256:a9c5d6fd77fa21537aa5d03aa5d53108053a6732f1e52bdefa94bf0533397764", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002395", "prompt": "Solve for x: 10(x - 775) + 127 = -2(x + 6) - 385", "solution_steps": ["Expand: 10x - 7750 + 127 = -2(x + 6) - 385", "Expand: 10x - 7750 + 127 = -2x - 12 - 385", "Combine constants: 10x - 7623 = -2x - 12 - 385", "Combine constants: 10x - 7623 = -2x - 397", "Add 2x to both sides: 12x - 7623 = -397", "Add 7623 to both sides: 12x = 7226", "Divide both sides by 12: x = 3613/6"], "final_answer": "3613/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 775) + 127 = -2(x + 6) - 385", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 775, \"c\": 127, \"d\": -2, \"e\": 6, \"f\": 385}", "seed": "8585174213045329925", "semantic_fingerprint": "sha256:cf1bcb6df84cb9219f1cd09a13b6fcb37d66174523f2b619a7b2b117fba2d465", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002396", "prompt": "What is 924 - (-6 + (-45)) + (-8)?", "solution_steps": ["Add: -6 + (-45) = -51", "Subtract: 924 - (-51) = 975", "Add: 975 + (-8) = 967"], "final_answer": "967", "answer_type": "integer", "kind": "expression", "math_text": "924 - (-6 + (-45)) + (-8)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 924, \"b\": -6, \"c\": -45, \"d\": -8}", "seed": "10731494363415508323", "semantic_fingerprint": "sha256:deda3133f36e6363b8ef485d8c38b3602b85a8e51512e1cbaa2d0cea57f91966", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002397", "prompt": "Calculate: 47 + (-5) - 786 * (-671) - 27", "solution_steps": ["Add: 47 + (-5) = 42", "Multiply: 786 * (-671) = -527406", "Subtract: 42 - (-527406) = 527448", "Subtract: 527448 - 27 = 527421"], "final_answer": "527421", "answer_type": "integer", "kind": "expression", "math_text": "47 + (-5) - 786 * (-671) - 27", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": -5, \"c\": 786, \"d\": -671, \"e\": 27}", "seed": "16571196895730738125", "semantic_fingerprint": "sha256:8567de7a841737d6840f8a0f403674449cfb05854a978c002b7050dcf2881007", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002398", "prompt": "Compute: (-9 - 95) * 32 * (-4)", "solution_steps": ["Subtract: -9 - 95 = -104", "Multiply: -104 * 32 = -3328", "Multiply: -3328 * (-4) = 13312"], "final_answer": "13312", "answer_type": "integer", "kind": "expression", "math_text": "(-9 - 95) * 32 * (-4)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 95, \"c\": 32, \"d\": -4}", "seed": "11103819398593792833", "semantic_fingerprint": "sha256:ad8ef5866032577902333572abb09e50b68b504f86bf709ee9e8f587915f4ad0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002399", "prompt": "Solve the equation x - 61 = 3(x - 31) + 2 for x.", "solution_steps": ["Expand: x - 61 = 3x - 93 + 2", "Combine constants: x - 61 = 3x - 91", "Subtract 3x from both sides: -2x - 61 = -91", "Add 61 to both sides: -2x = -30", "Divide both sides by -2: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 61 = 3(x - 31) + 2", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": 3, \"c\": 31, \"e\": 2, \"x\": 15}", "seed": "16107814347135078735", "semantic_fingerprint": "sha256:1814dc061c90ccebc3add404643280d3bb484cb635603ab1fa77e826fb6e18db", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002400", "prompt": "Solve the equation -5(x + 7) - 640 = x - 585 for x.", "solution_steps": ["Expand: -5x - 35 - 640 = x - 585", "Combine constants: -5x - 675 = x - 585", "Subtract x from both sides: -6x - 675 = -585", "Add 675 to both sides: -6x = 90", "Divide both sides by -6: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 7) - 640 = x - 585", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 7, \"c\": 640, \"e\": -585, \"x\": -15}", "seed": "5288329743752336923", "semantic_fingerprint": "sha256:20e3af6cbb535ec1a36e6139a5e02328594acc47f0ba1ba65327a8724c7805dc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002401", "prompt": "Find x: -9(x - 34) + 5 = 4(x + 48) - 98", "solution_steps": ["Expand: -9x + 306 + 5 = 4(x + 48) - 98", "Expand: -9x + 306 + 5 = 4x + 192 - 98", "Combine constants: -9x + 311 = 4x + 192 - 98", "Combine constants: -9x + 311 = 4x + 94", "Subtract 4x from both sides: -13x + 311 = 94", "Subtract 311 from both sides: -13x = -217", "Divide both sides by -13: x = 217/13"], "final_answer": "217/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 34) + 5 = 4(x + 48) - 98", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 34, \"c\": 5, \"d\": 4, \"e\": 48, \"f\": 98}", "seed": "3854624950814730168", "semantic_fingerprint": "sha256:6b4f6bc8cae96592bec48c8ce65cc431f1294a1d621790a79143c3c9fd3873fd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002402", "prompt": "Evaluate: (-55 + 31 + (77 + 4)) / (-54)", "solution_steps": ["Add: -55 + 31 = -24", "Add: 77 + 4 = 81", "Add: -24 + 81 = 57", "Divide: 57 / (-54) = -19/18"], "final_answer": "-19/18", "answer_type": "rational", "kind": "expression", "math_text": "(-55 + 31 + (77 + 4)) / (-54)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 31, \"c\": 77, \"d\": 4, \"e\": -54}", "seed": "9975046239881714479", "semantic_fingerprint": "sha256:5d09ef1054dc609fb066fcee1ad27d731a21df78cbd328695643326280fd24a1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002403", "prompt": "What is 429 / (-838 - 579 - (-14))?", "solution_steps": ["Subtract: -838 - 579 = -1417", "Subtract: -1417 - (-14) = -1403", "Divide: 429 / (-1403) = -429/1403"], "final_answer": "-429/1403", "answer_type": "rational", "kind": "expression", "math_text": "429 / (-838 - 579 - (-14))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 429, \"b\": -838, \"c\": 579, \"d\": -14}", "seed": "17703803397271197731", "semantic_fingerprint": "sha256:b6122d6284c5e64b6fe94530c0e5668bbe5d9f0742f6ef5f549d695f6ea1b55a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002404", "prompt": "Compute: -4 - (-13 + (4 - 2))", "solution_steps": ["Subtract: 4 - 2 = 2", "Add: -13 + 2 = -11", "Subtract: -4 - (-11) = 7"], "final_answer": "7", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (-13 + (4 - 2))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -13, \"c\": 4, \"d\": 2}", "seed": "792426937323626494", "semantic_fingerprint": "sha256:45476f4ae6cd428a5f5f776232365f8c7374d00adaf380493d9b8532c4b9e325", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002405", "prompt": "Solve for x: x - 93 = 9(x - 74) + 653", "solution_steps": ["Expand: x - 93 = 9x - 666 + 653", "Combine constants: x - 93 = 9x - 13", "Subtract 9x from both sides: -8x - 93 = -13", "Add 93 to both sides: -8x = 80", "Divide both sides by -8: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 93 = 9(x - 74) + 653", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 9, \"c\": 74, \"e\": 653, \"x\": -10}", "seed": "5546485718349053044", "semantic_fingerprint": "sha256:118b6545b6c8e0204767ca93507c5d5f1f2d7606c096f1cd637b58afc407ee9b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002406", "prompt": "What value of x satisfies 2(x - 677) - 9 = 12(x - 9)?", "solution_steps": ["Expand: 2x - 1354 - 9 = 12(x - 9)", "Expand: 2x - 1354 - 9 = 12x - 108", "Combine constants: 2x - 1363 = 12x - 108", "Subtract 12x from both sides: -10x - 1363 = -108", "Add 1363 to both sides: -10x = 1255", "Divide both sides by -10: x = -251/2"], "final_answer": "-251/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 677) - 9 = 12(x - 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 677, \"c\": 9, \"d\": 12, \"e\": 9}", "seed": "16967396271603832192", "semantic_fingerprint": "sha256:86adb26de0d7ec64f06c7dd4102ce4865f1752d7d9892c14846e705c42480f48", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002407", "prompt": "Evaluate: (0 + (-98)) * (-93 * (-111) - 421)", "solution_steps": ["Add: 0 + (-98) = -98", "Multiply: -93 * (-111) = 10323", "Subtract: 10323 - 421 = 9902", "Multiply: -98 * 9902 = -970396"], "final_answer": "-970396", "answer_type": "integer", "kind": "expression", "math_text": "(0 + (-98)) * (-93 * (-111) - 421)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -98, \"c\": -93, \"d\": -111, \"e\": 421}", "seed": "13790899496904819680", "semantic_fingerprint": "sha256:ab1dee0a006d4248b82e96422b755b639cbbaa275fd00aee0c75c285c77ff565", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002408", "prompt": "What is 82 * (4 + (-12 + 5)) - 262 - 1?", "solution_steps": ["Add: -12 + 5 = -7", "Add: 4 + (-7) = -3", "Multiply: 82 * (-3) = -246", "Subtract: -246 - 262 = -508", "Subtract: -508 - 1 = -509"], "final_answer": "-509", "answer_type": "integer", "kind": "expression", "math_text": "82 * (4 + (-12 + 5)) - 262 - 1", "variable": null, "family": "expression_5op", "shape": "(- (- (* n (+ n (+ n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 4, \"c\": -12, \"d\": 5, \"e\": 262, \"f\": 1}", "seed": "9958056266298783917", "semantic_fingerprint": "sha256:afd5b71d872b105bae094c0c527dcff0d0504fa488810cb855477c0b02865b6c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002409", "prompt": "Solve the equation -4(x - 4) + 15 = 5(x + 22) - 250 for x.", "solution_steps": ["Expand: -4x + 16 + 15 = 5(x + 22) - 250", "Expand: -4x + 16 + 15 = 5x + 110 - 250", "Combine constants: -4x + 31 = 5x + 110 - 250", "Combine constants: -4x + 31 = 5x - 140", "Subtract 5x from both sides: -9x + 31 = -140", "Subtract 31 from both sides: -9x = -171", "Divide both sides by -9: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 4) + 15 = 5(x + 22) - 250", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 4, \"c\": 15, \"d\": 5, \"e\": 22, \"g\": -250, \"x\": 19}", "seed": "16363182469252841675", "semantic_fingerprint": "sha256:1cb979715d44634c6774ca93b333606fc45e74a21d293635e293917ae6a182bd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002410", "prompt": "Evaluate: -307 + 8 - (-226 + 27)", "solution_steps": ["Add: -307 + 8 = -299", "Add: -226 + 27 = -199", "Subtract: -299 - (-199) = -100"], "final_answer": "-100", "answer_type": "integer", "kind": "expression", "math_text": "-307 + 8 - (-226 + 27)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -307, \"b\": 8, \"c\": -226, \"d\": 27}", "seed": "13419103502440489920", "semantic_fingerprint": "sha256:0ff11fb82370626091ea5ef0f244561e5a63113d65c9bf1c261e3c5968890db1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002411", "prompt": "Compute: -5 + (-207 / (-7 - 76) + (-277))", "solution_steps": ["Subtract: -7 - 76 = -83", "Divide: -207 / (-83) = 207/83", "Add: 207/83 + (-277) = -22784/83", "Add: -5 + (-22784/83) = -23199/83"], "final_answer": "-23199/83", "answer_type": "rational", "kind": "expression", "math_text": "-5 + (-207 / (-7 - 76) + (-277))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (/ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -207, \"c\": -7, \"d\": 76, \"e\": -277}", "seed": "5940127084271795948", "semantic_fingerprint": "sha256:3e3e4251c16677ce4940633d41872a966a890e7c7cbd4b766baa561ef00ee63c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002412", "prompt": "What value of x satisfies -10(x - 254) - 25 = -12(x - 94) - 8?", "solution_steps": ["Expand: -10x + 2540 - 25 = -12(x - 94) - 8", "Expand: -10x + 2540 - 25 = -12x + 1128 - 8", "Combine constants: -10x + 2515 = -12x + 1128 - 8", "Combine constants: -10x + 2515 = -12x + 1120", "Add 12x to both sides: 2x + 2515 = 1120", "Subtract 2515 from both sides: 2x = -1395", "Divide both sides by 2: x = -1395/2"], "final_answer": "-1395/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 254) - 25 = -12(x - 94) - 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 254, \"c\": 25, \"d\": -12, \"e\": 94, \"f\": 8}", "seed": "13667750350987504173", "semantic_fingerprint": "sha256:eea4bc6fe3f02e22a9d72f8cf640cc6fcad4233d7ec9eb740dca67c369aad46f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002413", "prompt": "Evaluate: -9 - (-3) - (-29 - 77) - (-465) - 54", "solution_steps": ["Subtract: -9 - (-3) = -6", "Subtract: -29 - 77 = -106", "Subtract: -6 - (-106) = 100", "Subtract: 100 - (-465) = 565", "Subtract: 565 - 54 = 511"], "final_answer": "511", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (-3) - (-29 - 77) - (-465) - 54", "variable": null, "family": "expression_5op", "shape": "(- (- (- (- n n) (- n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -3, \"c\": -29, \"d\": 77, \"e\": -465, \"f\": 54}", "seed": "16277866572720714351", "semantic_fingerprint": "sha256:0edfb4e5c2f099cedc02ccdbe272877a81767c8d38ab8effc06781a7019a3c60", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002414", "prompt": "What value of x satisfies -12(x - 838) + 45 = 12(x - 6)?", "solution_steps": ["Expand: -12x + 10056 + 45 = 12(x - 6)", "Expand: -12x + 10056 + 45 = 12x - 72", "Combine constants: -12x + 10101 = 12x - 72", "Subtract 12x from both sides: -24x + 10101 = -72", "Subtract 10101 from both sides: -24x = -10173", "Divide both sides by -24: x = 3391/8"], "final_answer": "3391/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 838) + 45 = 12(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 838, \"c\": 45, \"d\": 12, \"e\": 6}", "seed": "7362452378740280051", "semantic_fingerprint": "sha256:b3af2f91fee848dba4761e9e14f955f12fe7401b53d8da60bae43081ebbf795e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002415", "prompt": "Evaluate: (-631 - 614) * (-1 / (-246))", "solution_steps": ["Subtract: -631 - 614 = -1245", "Divide: -1 / (-246) = 1/246", "Multiply: -1245 * (1/246) = -415/82"], "final_answer": "-415/82", "answer_type": "rational", "kind": "expression", "math_text": "(-631 - 614) * (-1 / (-246))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -631, \"b\": 614, \"c\": -1, \"d\": -246}", "seed": "17297627134246518988", "semantic_fingerprint": "sha256:0ffa47f459d782bf8bdbdca4d4c463cc5862ca5bba7196845f84b36f11749bae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002416", "prompt": "What is (97 - (-76)) * (-9 / (-6))?", "solution_steps": ["Subtract: 97 - (-76) = 173", "Divide: -9 / (-6) = 3/2", "Multiply: 173 * (3/2) = 519/2"], "final_answer": "519/2", "answer_type": "rational", "kind": "expression", "math_text": "(97 - (-76)) * (-9 / (-6))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": -76, \"c\": -9, \"d\": -6}", "seed": "17273879594930427039", "semantic_fingerprint": "sha256:28be02850d9685be52c8aea52403a21efe2345535c66a3c77a5ff3b12231cd93", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002417", "prompt": "Evaluate: -19 + (-7 + (-37)) - (-21)", "solution_steps": ["Add: -7 + (-37) = -44", "Add: -19 + (-44) = -63", "Subtract: -63 - (-21) = -42"], "final_answer": "-42", "answer_type": "integer", "kind": "expression", "math_text": "-19 + (-7 + (-37)) - (-21)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": -7, \"c\": -37, \"d\": -21}", "seed": "11184253594874308510", "semantic_fingerprint": "sha256:fce8a3e94ac4a45361e6450ab4ef6033d59e7b52a9a07315e778cd3cddc7c41b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002418", "prompt": "Calculate: (343 - (-5)) * (-9 / 606)", "solution_steps": ["Subtract: 343 - (-5) = 348", "Divide: -9 / 606 = -3/202", "Multiply: 348 * (-3/202) = -522/101"], "final_answer": "-522/101", "answer_type": "rational", "kind": "expression", "math_text": "(343 - (-5)) * (-9 / 606)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 343, \"b\": -5, \"c\": -9, \"d\": 606}", "seed": "16514500468204394962", "semantic_fingerprint": "sha256:e7c881b603367d19412eb1e91eabe06b28eefc77edb4c99936ba60dc717c51b9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002419", "prompt": "Find x: 4(x - 68) = 5x - 289", "solution_steps": ["Expand: 4x - 272 = 5x - 289", "Subtract 5x from both sides: -x - 272 = -289", "Add 272 to both sides: -x = -17", "Divide both sides by -1: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 68) = 5x - 289", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 68, \"c\": 5, \"e\": -289, \"x\": 17}", "seed": "11570518639933242528", "semantic_fingerprint": "sha256:701034b325962ab6412d90ad083c82f9e96fda02870b9536cb8c87c48b1b7cf3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002420", "prompt": "Evaluate: (-52 - (-30)) / (387 * 9)", "solution_steps": ["Subtract: -52 - (-30) = -22", "Multiply: 387 * 9 = 3483", "Divide: -22 / 3483 = -22/3483"], "final_answer": "-22/3483", "answer_type": "rational", "kind": "expression", "math_text": "(-52 - (-30)) / (387 * 9)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": -30, \"c\": 387, \"d\": 9}", "seed": "6463735782542848235", "semantic_fingerprint": "sha256:03c89d9fc80fe3cfdcb5d86971cb94784971b0c5d99c4878bb1b67a10ef4d5d4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002421", "prompt": "What value of x satisfies 4(x + 63) - 41 = x - 54?", "solution_steps": ["Expand: 4x + 252 - 41 = x - 54", "Combine constants: 4x + 211 = x - 54", "Subtract x from both sides: 3x + 211 = -54", "Subtract 211 from both sides: 3x = -265", "Divide both sides by 3: x = -265/3"], "final_answer": "-265/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 63) - 41 = x - 54", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 63, \"c\": 41, \"d\": 54}", "seed": "3308180470049607704", "semantic_fingerprint": "sha256:14326a3689f780ec9cfaa2f8c1d9f5801e11fcb0a682d811ab2df6a8a99fb97a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002422", "prompt": "What is 4 + (43 * 418 - 7)?", "solution_steps": ["Multiply: 43 * 418 = 17974", "Subtract: 17974 - 7 = 17967", "Add: 4 + 17967 = 17971"], "final_answer": "17971", "answer_type": "integer", "kind": "expression", "math_text": "4 + (43 * 418 - 7)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 43, \"c\": 418, \"d\": 7}", "seed": "18059235052994273198", "semantic_fingerprint": "sha256:5687dec4701d52278492bbd114ca94767f2a9c95329a05b8ef4045ced5043fb5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002423", "prompt": "Solve the equation 3(x - 36) + 547 = 2x + 448 for x.", "solution_steps": ["Expand: 3x - 108 + 547 = 2x + 448", "Combine constants: 3x + 439 = 2x + 448", "Subtract 2x from both sides: x + 439 = 448", "Subtract 439 from both sides: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 36) + 547 = 2x + 448", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 36, \"c\": 547, \"d\": 2, \"f\": 448, \"x\": 9}", "seed": "13069312713121768655", "semantic_fingerprint": "sha256:34ed83ccf689fa4d1456e9ffbbfb95fa5ed8495ba5893af6f28f9c02c986e60e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002424", "prompt": "What value of x satisfies 8(x - 97) - 8 = 6(x - 123)?", "solution_steps": ["Expand: 8x - 776 - 8 = 6(x - 123)", "Expand: 8x - 776 - 8 = 6x - 738", "Combine constants: 8x - 784 = 6x - 738", "Subtract 6x from both sides: 2x - 784 = -738", "Add 784 to both sides: 2x = 46", "Divide both sides by 2: x = 23"], "final_answer": "23", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 97) - 8 = 6(x - 123)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 97, \"c\": 8, \"d\": 6, \"e\": 123}", "seed": "9366274275810936728", "semantic_fingerprint": "sha256:9fd52632428b350ca71e9cd8e56015eb98093d4f119a40c5af08c6bd9ecd95a4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002425", "prompt": "What value of x satisfies -10(x - 1) + 43 = 6x + 5?", "solution_steps": ["Expand: -10x + 10 + 43 = 6x + 5", "Combine constants: -10x + 53 = 6x + 5", "Subtract 6x from both sides: -16x + 53 = 5", "Subtract 53 from both sides: -16x = -48", "Divide both sides by -16: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 1) + 43 = 6x + 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 1, \"c\": 43, \"d\": 6, \"f\": 5, \"x\": 3}", "seed": "5690100453146914569", "semantic_fingerprint": "sha256:46b2bbee25e93fcf8a9a70afc6ad47006e8bcaefc8322a7c272ede1d91804cdb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002426", "prompt": "Compute: (-2 - (-36 + 55)) * (-2) - (-80)", "solution_steps": ["Add: -36 + 55 = 19", "Subtract: -2 - 19 = -21", "Multiply: -21 * (-2) = 42", "Subtract: 42 - (-80) = 122"], "final_answer": "122", "answer_type": "integer", "kind": "expression", "math_text": "(-2 - (-36 + 55)) * (-2) - (-80)", "variable": null, "family": "expression_4op", "shape": "(- (* (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -36, \"c\": 55, \"d\": -2, \"e\": -80}", "seed": "17232994367859876349", "semantic_fingerprint": "sha256:06afd2b0a0e72fe62369ba76885c682ef6e6dc76b0cf8be1c3ae8b30333626d6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002427", "prompt": "What is 894 - (18 - (86 - (-4)))?", "solution_steps": ["Subtract: 86 - (-4) = 90", "Subtract: 18 - 90 = -72", "Subtract: 894 - (-72) = 966"], "final_answer": "966", "answer_type": "integer", "kind": "expression", "math_text": "894 - (18 - (86 - (-4)))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 894, \"b\": 18, \"c\": 86, \"d\": -4}", "seed": "2598892480022491998", "semantic_fingerprint": "sha256:92e9a8fe3a1c0ddc9831306ca671d00091fd337d0ab12fe91ab251ca5c50efd6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002428", "prompt": "What is -11 * 62 + 962 * (-1) / (-8)?", "solution_steps": ["Multiply: -11 * 62 = -682", "Multiply: 962 * (-1) = -962", "Divide: -962 / (-8) = 481/4", "Add: -682 + 481/4 = -2247/4"], "final_answer": "-2247/4", "answer_type": "rational", "kind": "expression", "math_text": "-11 * 62 + 962 * (-1) / (-8)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 62, \"c\": 962, \"d\": -1, \"e\": -8}", "seed": "15221356835907241837", "semantic_fingerprint": "sha256:a67525cd0a9a347b6b847034515cbcd5cc8aa7cba5cefbe7d46b96de776199c7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002429", "prompt": "Evaluate: -39 / (-6 + 38) + (-6 - 81 + (-4))", "solution_steps": ["Add: -6 + 38 = 32", "Divide: -39 / 32 = -39/32", "Subtract: -6 - 81 = -87", "Add: -87 + (-4) = -91", "Add: -39/32 + (-91) = -2951/32"], "final_answer": "-2951/32", "answer_type": "rational", "kind": "expression", "math_text": "-39 / (-6 + 38) + (-6 - 81 + (-4))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (+ n n)) (+ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": -6, \"c\": 38, \"d\": -6, \"e\": 81, \"f\": -4}", "seed": "9230860091807347599", "semantic_fingerprint": "sha256:e66199ae2bd6796ed7fab799aac306e470480536695cea2018d650cf65acc53a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002430", "prompt": "Solve the equation 3(x - 8) - 28 = 2(x - 32) for x.", "solution_steps": ["Expand: 3x - 24 - 28 = 2(x - 32)", "Expand: 3x - 24 - 28 = 2x - 64", "Combine constants: 3x - 52 = 2x - 64", "Subtract 2x from both sides: x - 52 = -64", "Add 52 to both sides: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 8) - 28 = 2(x - 32)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 28, \"d\": 2, \"e\": 32}", "seed": "17412154883319207223", "semantic_fingerprint": "sha256:4d1accf0270c48b42c0c93860ab535e45f73731f371310789a80e49e33246420", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002431", "prompt": "What is -65 * (-65 * (0 - (-17)))?", "solution_steps": ["Subtract: 0 - (-17) = 17", "Multiply: -65 * 17 = -1105", "Multiply: -65 * (-1105) = 71825"], "final_answer": "71825", "answer_type": "integer", "kind": "expression", "math_text": "-65 * (-65 * (0 - (-17)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -65, \"c\": 0, \"d\": -17}", "seed": "11155496166643442997", "semantic_fingerprint": "sha256:a92a9d6b1c37375ad4d10f266f386be8d36d62326c036091f1ba0ebe7609af2a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002432", "prompt": "Calculate: -51 - (-15) * (-60) + (-5 + (-64) - 91)", "solution_steps": ["Multiply: -15 * (-60) = 900", "Subtract: -51 - 900 = -951", "Add: -5 + (-64) = -69", "Subtract: -69 - 91 = -160", "Add: -951 + (-160) = -1111"], "final_answer": "-1111", "answer_type": "integer", "kind": "expression", "math_text": "-51 - (-15) * (-60) + (-5 + (-64) - 91)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (* n n)) (- (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -15, \"c\": -60, \"d\": -5, \"e\": -64, \"f\": 91}", "seed": "1262788705024321778", "semantic_fingerprint": "sha256:09e93d967bfd518c526b7e046ce06c529764a4ddfbbf7486293336199bda38ce", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002433", "prompt": "What is 1 * 65 * (-13) - (291 - 240)?", "solution_steps": ["Multiply: 1 * 65 = 65", "Multiply: 65 * (-13) = -845", "Subtract: 291 - 240 = 51", "Subtract: -845 - 51 = -896"], "final_answer": "-896", "answer_type": "integer", "kind": "expression", "math_text": "1 * 65 * (-13) - (291 - 240)", "variable": null, "family": "expression_4op", "shape": "(- (* (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 65, \"c\": -13, \"d\": 291, \"e\": 240}", "seed": "5453966035957504686", "semantic_fingerprint": "sha256:f6ca2805f608f9ce52290793d98b1b1d07b0ef9749af4957ec002a7bcc2f0e1e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002434", "prompt": "Calculate: 18 / 7 / (7 * 74) - 2", "solution_steps": ["Divide: 18 / 7 = 18/7", "Multiply: 7 * 74 = 518", "Divide: (18/7) / 518 = 9/1813", "Subtract: 9/1813 - 2 = -3617/1813"], "final_answer": "-3617/1813", "answer_type": "rational", "kind": "expression", "math_text": "18 / 7 / (7 * 74) - 2", "variable": null, "family": "expression_4op", "shape": "(- (/ (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 7, \"c\": 7, \"d\": 74, \"e\": 2}", "seed": "4681797848639797152", "semantic_fingerprint": "sha256:41d027e4714633a474074b582767d845232603255e4b3e439e2447b080a33bec", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002435", "prompt": "Evaluate: 0 / (-85 / (-1 * (-866)))", "solution_steps": ["Multiply: -1 * (-866) = 866", "Divide: -85 / 866 = -85/866", "Divide: 0 / (-85/866) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-85 / (-1 * (-866)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -85, \"c\": -1, \"d\": -866}", "seed": "17157930457168072490", "semantic_fingerprint": "sha256:ec20b43d8bc5a75b00fa3097c57780328a6aee32fff85853c9f90288d124ba44", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002436", "prompt": "Evaluate: 6 * (-38 * (-9)) - 64", "solution_steps": ["Multiply: -38 * (-9) = 342", "Multiply: 6 * 342 = 2052", "Subtract: 2052 - 64 = 1988"], "final_answer": "1988", "answer_type": "integer", "kind": "expression", "math_text": "6 * (-38 * (-9)) - 64", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -38, \"c\": -9, \"d\": 64}", "seed": "9402996008866360924", "semantic_fingerprint": "sha256:c2ed3f2c68e151bd8c9c7db68903410f3e69412df64860b3d252dabb29a07551", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002437", "prompt": "What is -18 + (59 * 36 - 189)?", "solution_steps": ["Multiply: 59 * 36 = 2124", "Subtract: 2124 - 189 = 1935", "Add: -18 + 1935 = 1917"], "final_answer": "1917", "answer_type": "integer", "kind": "expression", "math_text": "-18 + (59 * 36 - 189)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 59, \"c\": 36, \"d\": 189}", "seed": "3589381174563186380", "semantic_fingerprint": "sha256:c94747377a92c08df45f6ff7930e0dce3d41de74978de266333a5e846da16cc0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002438", "prompt": "Evaluate: 1 / (8 + 57) * 9 * (-989)", "solution_steps": ["Add: 8 + 57 = 65", "Divide: 1 / 65 = 1/65", "Multiply: (1/65) * 9 = 9/65", "Multiply: (9/65) * (-989) = -8901/65"], "final_answer": "-8901/65", "answer_type": "rational", "kind": "expression", "math_text": "1 / (8 + 57) * 9 * (-989)", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 8, \"c\": 57, \"d\": 9, \"e\": -989}", "seed": "8620422773718724331", "semantic_fingerprint": "sha256:e6a89fbf9332c96885632c562a367aa5c66dd6e9ab50250899ab0645f9f166a8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002439", "prompt": "Evaluate: 29 / 9 + (75 - (-81)) - (-60)", "solution_steps": ["Divide: 29 / 9 = 29/9", "Subtract: 75 - (-81) = 156", "Add: 29/9 + 156 = 1433/9", "Subtract: 1433/9 - (-60) = 1973/9"], "final_answer": "1973/9", "answer_type": "rational", "kind": "expression", "math_text": "29 / 9 + (75 - (-81)) - (-60)", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 9, \"c\": 75, \"d\": -81, \"e\": -60}", "seed": "13049276041088929047", "semantic_fingerprint": "sha256:cbdb12625d26a1168e20d0b6352a4ae72cf116c08ebf766dda2face298c0e494", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002440", "prompt": "Evaluate: 1 / (-227 / (-108 * (-4))) - (5 - 3)", "solution_steps": ["Multiply: -108 * (-4) = 432", "Divide: -227 / 432 = -227/432", "Divide: 1 / (-227/432) = -432/227", "Subtract: 5 - 3 = 2", "Subtract: -432/227 - 2 = -886/227"], "final_answer": "-886/227", "answer_type": "rational", "kind": "expression", "math_text": "1 / (-227 / (-108 * (-4))) - (5 - 3)", "variable": null, "family": "expression_5op", "shape": "(- (/ n (/ n (* n n))) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -227, \"c\": -108, \"d\": -4, \"e\": 5, \"f\": 3}", "seed": "159469058371518738", "semantic_fingerprint": "sha256:f87bd9c2b5b8b919622ea1378fdaf4337099002772dd942df12cc600be8201e6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002441", "prompt": "What is -950 * 8 / (-423 + 6)?", "solution_steps": ["Multiply: -950 * 8 = -7600", "Add: -423 + 6 = -417", "Divide: -7600 / (-417) = 7600/417"], "final_answer": "7600/417", "answer_type": "rational", "kind": "expression", "math_text": "-950 * 8 / (-423 + 6)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -950, \"b\": 8, \"c\": -423, \"d\": 6}", "seed": "331159305679435723", "semantic_fingerprint": "sha256:a5616bb862226d0e2cc16ef9a253009dfd429956348ba99b45c9268404ae6ed4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002442", "prompt": "What value of x satisfies 4(x - 6) + 49 = -10x + 305?", "solution_steps": ["Expand: 4x - 24 + 49 = -10x + 305", "Combine constants: 4x + 25 = -10x + 305", "Add 10x to both sides: 14x + 25 = 305", "Subtract 25 from both sides: 14x = 280", "Divide both sides by 14: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 6) + 49 = -10x + 305", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 49, \"d\": -10, \"f\": 305, \"x\": 20}", "seed": "4831365521438884805", "semantic_fingerprint": "sha256:6042cac7c40aa2393abfe85fa205e8c520505cc904b9242daffea7a3314f2a9c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002443", "prompt": "Calculate: 35 / (8 + (89 * 27 + 59 * (-3)))", "solution_steps": ["Multiply: 89 * 27 = 2403", "Multiply: 59 * (-3) = -177", "Add: 2403 + (-177) = 2226", "Add: 8 + 2226 = 2234", "Divide: 35 / 2234 = 35/2234"], "final_answer": "35/2234", "answer_type": "rational", "kind": "expression", "math_text": "35 / (8 + (89 * 27 + 59 * (-3)))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ n (+ (* n n) (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 8, \"c\": 89, \"d\": 27, \"e\": 59, \"f\": -3}", "seed": "12765944430351232653", "semantic_fingerprint": "sha256:14f3831314f2b7032c42e7ddbea9dd235ba3ce7d57a932e3df99d2f92d0f5771", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002444", "prompt": "Solve the equation -10(x + 86) - 531 = x - 570 for x.", "solution_steps": ["Expand: -10x - 860 - 531 = x - 570", "Combine constants: -10x - 1391 = x - 570", "Subtract x from both sides: -11x - 1391 = -570", "Add 1391 to both sides: -11x = 821", "Divide both sides by -11: x = -821/11"], "final_answer": "-821/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 86) - 531 = x - 570", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 86, \"c\": 531, \"d\": 570}", "seed": "11052235786589989990", "semantic_fingerprint": "sha256:d4bb76edc54c03883fc5f75cb83a9546fce7f6f5932043528c613106907674f0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002445", "prompt": "Solve the equation x - 13 = -8(x - 6) + 9 for x.", "solution_steps": ["Expand: x - 13 = -8x + 48 + 9", "Combine constants: x - 13 = -8x + 57", "Add 8x to both sides: 9x - 13 = 57", "Add 13 to both sides: 9x = 70", "Divide both sides by 9: x = 70/9"], "final_answer": "70/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 13 = -8(x - 6) + 9", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -8, \"c\": 6, \"d\": 9}", "seed": "10418019162654006831", "semantic_fingerprint": "sha256:da6ce2ddd62168d4e03bba906b0d8518fe7570df68e5abe1ddf7bf4bde1d8517", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002446", "prompt": "Evaluate: (-49 - (-7) + 58 * 7 + (-74)) * (-3)", "solution_steps": ["Subtract: -49 - (-7) = -42", "Multiply: 58 * 7 = 406", "Add: -42 + 406 = 364", "Add: 364 + (-74) = 290", "Multiply: 290 * (-3) = -870"], "final_answer": "-870", "answer_type": "integer", "kind": "expression", "math_text": "(-49 - (-7) + 58 * 7 + (-74)) * (-3)", "variable": null, "family": "expression_5op", "shape": "(* (+ (+ (- n n) (* n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": -7, \"c\": 58, \"d\": 7, \"e\": -74, \"f\": -3}", "seed": "3754112335772789176", "semantic_fingerprint": "sha256:25d85b11c1d23427fc3ae078df3fe4dcf0e7fbd086b16748871d1d3b9dc5df2f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002447", "prompt": "What is (1 - 0 - (36 - 435)) * 88?", "solution_steps": ["Subtract: 1 - 0 = 1", "Subtract: 36 - 435 = -399", "Subtract: 1 - (-399) = 400", "Multiply: 400 * 88 = 35200"], "final_answer": "35200", "answer_type": "integer", "kind": "expression", "math_text": "(1 - 0 - (36 - 435)) * 88", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 0, \"c\": 36, \"d\": 435, \"e\": 88}", "seed": "11670951544482263629", "semantic_fingerprint": "sha256:25b190068e0abd1fa7fab171b7a9c495a1d44e5737dab4a2f915e79d471a9387", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002448", "prompt": "Calculate: 6 + (-82 * 331 - (-854))", "solution_steps": ["Multiply: -82 * 331 = -27142", "Subtract: -27142 - (-854) = -26288", "Add: 6 + (-26288) = -26282"], "final_answer": "-26282", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-82 * 331 - (-854))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -82, \"c\": 331, \"d\": -854}", "seed": "3949706204604233368", "semantic_fingerprint": "sha256:0b1b30497c143ccf81cadfe0900d8d8e0d5962bc03b239c947395386951f901c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002449", "prompt": "Calculate: (58 - 2) / (1 - (68 + (-777))) + 79", "solution_steps": ["Subtract: 58 - 2 = 56", "Add: 68 + (-777) = -709", "Subtract: 1 - (-709) = 710", "Divide: 56 / 710 = 28/355", "Add: 28/355 + 79 = 28073/355"], "final_answer": "28073/355", "answer_type": "rational", "kind": "expression", "math_text": "(58 - 2) / (1 - (68 + (-777))) + 79", "variable": null, "family": "expression_5op", "shape": "(+ (/ (- n n) (- n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 2, \"c\": 1, \"d\": 68, \"e\": -777, \"f\": 79}", "seed": "7966390414863548139", "semantic_fingerprint": "sha256:37f0eb0ebe0a4ea7ac171cc05a9eabb0b1b52efd511b0a7fc48fde1f9e6f1db7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002450", "prompt": "Evaluate: -783 + (10 + 3) - (-304)", "solution_steps": ["Add: 10 + 3 = 13", "Add: -783 + 13 = -770", "Subtract: -770 - (-304) = -466"], "final_answer": "-466", "answer_type": "integer", "kind": "expression", "math_text": "-783 + (10 + 3) - (-304)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -783, \"b\": 10, \"c\": 3, \"d\": -304}", "seed": "1173800361588636101", "semantic_fingerprint": "sha256:f7e4b42add8d1a8cc6802e5d49b34f08d1f7ead8c9231fb4e8f992c5bfff579e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002451", "prompt": "Evaluate: -146 + (0 + 0 + 7 / 9 + (-146))", "solution_steps": ["Add: 0 + 0 = 0", "Divide: 7 / 9 = 7/9", "Add: 0 + 7/9 = 7/9", "Add: 7/9 + (-146) = -1307/9", "Add: -146 + (-1307/9) = -2621/9"], "final_answer": "-2621/9", "answer_type": "rational", "kind": "expression", "math_text": "-146 + (0 + 0 + 7 / 9 + (-146))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (+ (+ n n) (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -146, \"b\": 0, \"c\": 0, \"d\": 7, \"e\": 9, \"f\": -146}", "seed": "13954874319038660151", "semantic_fingerprint": "sha256:383c7f1902dce4a7cf9b12eaec0162ec11785e27e09147139cefbfff1dc42634", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002452", "prompt": "Solve the equation -7(x - 16) + 2 = 9(x + 61) - 739 for x.", "solution_steps": ["Expand: -7x + 112 + 2 = 9(x + 61) - 739", "Expand: -7x + 112 + 2 = 9x + 549 - 739", "Combine constants: -7x + 114 = 9x + 549 - 739", "Combine constants: -7x + 114 = 9x - 190", "Subtract 9x from both sides: -16x + 114 = -190", "Subtract 114 from both sides: -16x = -304", "Divide both sides by -16: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 16) + 2 = 9(x + 61) - 739", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 16, \"c\": 2, \"d\": 9, \"e\": 61, \"g\": -739, \"x\": 19}", "seed": "13337556083150794277", "semantic_fingerprint": "sha256:a867290444b27ba19d8f725c3b199dad91d6e643dcc1d014b4a5c2e7605f40b7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002453", "prompt": "Solve for x: 4(x - 10) = -4x - 40", "solution_steps": ["Expand: 4x - 40 = -4x - 40", "Add 4x to both sides: 8x - 40 = -40", "Add 40 to both sides: 8x = 0", "Divide both sides by 8: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 10) = -4x - 40", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 10, \"c\": -4, \"e\": -40, \"x\": 0}", "seed": "15973804204379957626", "semantic_fingerprint": "sha256:8055ced5faf58fe18bd95c6fd7908a6fe3d419c65a06297ab572b543d8a4ce5b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002454", "prompt": "What is -2 - (-1 - (-6 + 9 + 4) - (-14))?", "solution_steps": ["Add: -6 + 9 = 3", "Add: 3 + 4 = 7", "Subtract: -1 - 7 = -8", "Subtract: -8 - (-14) = 6", "Subtract: -2 - 6 = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (-1 - (-6 + 9 + 4) - (-14))", "variable": null, "family": "expression_5op", "shape": "(- n (- (- n (+ (+ n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -1, \"c\": -6, \"d\": 9, \"e\": 4, \"f\": -14}", "seed": "5115688509406137409", "semantic_fingerprint": "sha256:d7fa0fc474bb363886952672b78a678ea280894abec25e1a08e16442514371bc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002455", "prompt": "Find x: -9(x + 53) - 7 = x - 64", "solution_steps": ["Expand: -9x - 477 - 7 = x - 64", "Combine constants: -9x - 484 = x - 64", "Subtract x from both sides: -10x - 484 = -64", "Add 484 to both sides: -10x = 420", "Divide both sides by -10: x = -42"], "final_answer": "-42", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 53) - 7 = x - 64", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 53, \"c\": 7, \"d\": 64}", "seed": "12808100872737054548", "semantic_fingerprint": "sha256:e5f06c83fe761035598f16392f7ee7988681fd8ae061230b3c5de41b1f11bc8a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002456", "prompt": "Evaluate: 375 - (-924) / (55 / (-1))", "solution_steps": ["Divide: 55 / (-1) = -55", "Divide: -924 / (-55) = 84/5", "Subtract: 375 - 84/5 = 1791/5"], "final_answer": "1791/5", "answer_type": "rational", "kind": "expression", "math_text": "375 - (-924) / (55 / (-1))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 375, \"b\": -924, \"c\": 55, \"d\": -1}", "seed": "16700031059364726416", "semantic_fingerprint": "sha256:03c3595f6a8abe2aa841b2603015cdc0331b14409327e98c51771a51aefe4b5e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002457", "prompt": "Calculate: 0 / (-31) + 76 / 712", "solution_steps": ["Divide: 0 / (-31) = 0", "Divide: 76 / 712 = 19/178", "Add: 0 + 19/178 = 19/178"], "final_answer": "19/178", "answer_type": "rational", "kind": "expression", "math_text": "0 / (-31) + 76 / 712", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -31, \"c\": 76, \"d\": 712}", "seed": "8928246409156353904", "semantic_fingerprint": "sha256:c6054cbca85f5bd53a78fdc3e1a5ac71b38b12ac9d403c2625ec92b4f622a793", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002458", "prompt": "Evaluate: -88 - (39 + (-553)) + (-1)", "solution_steps": ["Add: 39 + (-553) = -514", "Subtract: -88 - (-514) = 426", "Add: 426 + (-1) = 425"], "final_answer": "425", "answer_type": "integer", "kind": "expression", "math_text": "-88 - (39 + (-553)) + (-1)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": 39, \"c\": -553, \"d\": -1}", "seed": "9398703998081196032", "semantic_fingerprint": "sha256:a6db47b76902b4e3f6cbbb2b136a881db501f096b443d514d317aae28c70f234", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002459", "prompt": "Compute: 0 + (-6 - (-425)) * (5 * (-4))", "solution_steps": ["Subtract: -6 - (-425) = 419", "Multiply: 5 * (-4) = -20", "Multiply: 419 * (-20) = -8380", "Add: 0 + (-8380) = -8380"], "final_answer": "-8380", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-6 - (-425)) * (5 * (-4))", "variable": null, "family": "expression_4op", "shape": "(+ n (* (- n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -6, \"c\": -425, \"d\": 5, \"e\": -4}", "seed": "5670282173632114468", "semantic_fingerprint": "sha256:668e73e546cedb57dcf9a76fc6c3186ef39587e69ce7b4ca5d148a2e7eadf641", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002460", "prompt": "What is -53 - 51 + (-301 / (-930) - 86)?", "solution_steps": ["Subtract: -53 - 51 = -104", "Divide: -301 / (-930) = 301/930", "Subtract: 301/930 - 86 = -79679/930", "Add: -104 + (-79679/930) = -176399/930"], "final_answer": "-176399/930", "answer_type": "rational", "kind": "expression", "math_text": "-53 - 51 + (-301 / (-930) - 86)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": 51, \"c\": -301, \"d\": -930, \"e\": 86}", "seed": "11909225651035757631", "semantic_fingerprint": "sha256:795fc33e5d1bd12112596f0f525cea5ca292f0270adf3627c07104b9801cac16", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002461", "prompt": "What is (2 + 31) * (-6 - 2 - 254)?", "solution_steps": ["Add: 2 + 31 = 33", "Subtract: -6 - 2 = -8", "Subtract: -8 - 254 = -262", "Multiply: 33 * (-262) = -8646"], "final_answer": "-8646", "answer_type": "integer", "kind": "expression", "math_text": "(2 + 31) * (-6 - 2 - 254)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 31, \"c\": -6, \"d\": 2, \"e\": 254}", "seed": "7367474126385286405", "semantic_fingerprint": "sha256:1075bbb025500fd19c505576a647c46273d013ead15a571c9b986ac4da71d1f2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002462", "prompt": "Find x: 4(x - 21) = -12x - 308", "solution_steps": ["Expand: 4x - 84 = -12x - 308", "Add 12x to both sides: 16x - 84 = -308", "Add 84 to both sides: 16x = -224", "Divide both sides by 16: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 21) = -12x - 308", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 21, \"c\": -12, \"e\": -308, \"x\": -14}", "seed": "9063413118689176014", "semantic_fingerprint": "sha256:3db1eff9683df0dac287b720f07e31feb1f5571c9225310e6570687ec69057e6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002463", "prompt": "Evaluate: 8 * (-29 * (47 * (-6 / 2)))", "solution_steps": ["Divide: -6 / 2 = -3", "Multiply: 47 * (-3) = -141", "Multiply: -29 * (-141) = 4089", "Multiply: 8 * 4089 = 32712"], "final_answer": "32712", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-29 * (47 * (-6 / 2)))", "variable": null, "family": "expression_4op", "shape": "(* n (* n (* n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -29, \"c\": 47, \"d\": -6, \"e\": 2}", "seed": "15901041390929540496", "semantic_fingerprint": "sha256:9e77fd620c24e26b5c2c4fddc50ed442b286285b6ea30b75abb8b6700c9315fe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002464", "prompt": "Evaluate: (4 - 42) / (7 * 96)", "solution_steps": ["Subtract: 4 - 42 = -38", "Multiply: 7 * 96 = 672", "Divide: -38 / 672 = -19/336"], "final_answer": "-19/336", "answer_type": "rational", "kind": "expression", "math_text": "(4 - 42) / (7 * 96)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 42, \"c\": 7, \"d\": 96}", "seed": "2873900300382185744", "semantic_fingerprint": "sha256:0f6e87ccb9cc835c43e465762d905a23960012ab2c6f75394b89499bd95aa6f0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002465", "prompt": "Solve for x: 6(x + 55) - 613 = x - 8", "solution_steps": ["Expand: 6x + 330 - 613 = x - 8", "Combine constants: 6x - 283 = x - 8", "Subtract x from both sides: 5x - 283 = -8", "Add 283 to both sides: 5x = 275", "Divide both sides by 5: x = 55"], "final_answer": "55", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 55) - 613 = x - 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 55, \"c\": 613, \"d\": 8}", "seed": "1539952284766080154", "semantic_fingerprint": "sha256:247beb820efb5b413e44d9b650ef2a6353dce7a067add11717eb56f910c3df57", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002466", "prompt": "What value of x satisfies 9(x - 46) = -2x - 227?", "solution_steps": ["Expand: 9x - 414 = -2x - 227", "Add 2x to both sides: 11x - 414 = -227", "Add 414 to both sides: 11x = 187", "Divide both sides by 11: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 46) = -2x - 227", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 46, \"c\": -2, \"e\": -227, \"x\": 17}", "seed": "11424524746575672230", "semantic_fingerprint": "sha256:1608ff45cfc4433f847a670303d16fcec46c2301cfb95675a4ca795643fb7ea6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002467", "prompt": "Compute: (-951 + (-51) * (-16)) * (11 - (-1))", "solution_steps": ["Multiply: -51 * (-16) = 816", "Add: -951 + 816 = -135", "Subtract: 11 - (-1) = 12", "Multiply: -135 * 12 = -1620"], "final_answer": "-1620", "answer_type": "integer", "kind": "expression", "math_text": "(-951 + (-51) * (-16)) * (11 - (-1))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -951, \"b\": -51, \"c\": -16, \"d\": 11, \"e\": -1}", "seed": "10898958276321045603", "semantic_fingerprint": "sha256:57b211de791efe76a0a0e0e93ef64bd1bc2d7de83327c3e0fcf0724545c69ae5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002468", "prompt": "Evaluate: 73 * (1 / 40) - 88 + 16 * 611", "solution_steps": ["Divide: 1 / 40 = 1/40", "Multiply: 73 * (1/40) = 73/40", "Subtract: 73/40 - 88 = -3447/40", "Multiply: 16 * 611 = 9776", "Add: -3447/40 + 9776 = 387593/40"], "final_answer": "387593/40", "answer_type": "rational", "kind": "expression", "math_text": "73 * (1 / 40) - 88 + 16 * 611", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n (/ n n)) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 1, \"c\": 40, \"d\": 88, \"e\": 16, \"f\": 611}", "seed": "789648910284498197", "semantic_fingerprint": "sha256:f5acf13fcff90655e890c4fde292e65eb1178ae1a4637be7645fab4ab6f8fa73", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002469", "prompt": "Solve the equation 8(x - 645) + 6 = 11x + 56 for x.", "solution_steps": ["Expand: 8x - 5160 + 6 = 11x + 56", "Combine constants: 8x - 5154 = 11x + 56", "Subtract 11x from both sides: -3x - 5154 = 56", "Add 5154 to both sides: -3x = 5210", "Divide both sides by -3: x = -5210/3"], "final_answer": "-5210/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 645) + 6 = 11x + 56", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 645, \"c\": 6, \"d\": 11, \"e\": 56}", "seed": "14846002114351694508", "semantic_fingerprint": "sha256:7057a2d971d51b809cb62088db8357b0ce79c7a430fab3fb14c3c540b88bedea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002470", "prompt": "What is -636 * (-9 - 14 + (-226))?", "solution_steps": ["Subtract: -9 - 14 = -23", "Add: -23 + (-226) = -249", "Multiply: -636 * (-249) = 158364"], "final_answer": "158364", "answer_type": "integer", "kind": "expression", "math_text": "-636 * (-9 - 14 + (-226))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -636, \"b\": -9, \"c\": 14, \"d\": -226}", "seed": "9839669158630716519", "semantic_fingerprint": "sha256:f476cb75791310cd87401ab0c7725cdd6293cffdb2c5ceb956c447df1a5a3524", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002471", "prompt": "What value of x satisfies 9(x + 46) - 647 = x - 217?", "solution_steps": ["Expand: 9x + 414 - 647 = x - 217", "Combine constants: 9x - 233 = x - 217", "Subtract x from both sides: 8x - 233 = -217", "Add 233 to both sides: 8x = 16", "Divide both sides by 8: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 46) - 647 = x - 217", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 46, \"c\": 647, \"e\": -217, \"x\": 2}", "seed": "2893855074968927998", "semantic_fingerprint": "sha256:80d3f74e2024e33d4d7cf65b7830b3d3ac3442ffb6d9def8941baa00e501b1cd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002472", "prompt": "Compute: -8 + (-8 + (-786) - (-7)) - (-31)", "solution_steps": ["Add: -8 + (-786) = -794", "Subtract: -794 - (-7) = -787", "Add: -8 + (-787) = -795", "Subtract: -795 - (-31) = -764"], "final_answer": "-764", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (-8 + (-786) - (-7)) - (-31)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (- (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -8, \"c\": -786, \"d\": -7, \"e\": -31}", "seed": "5245397456895653082", "semantic_fingerprint": "sha256:46063c41b555eff3b1e03e89437dc3518f3a01ddf4625080d440a95b8aa544c8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002473", "prompt": "Find x: 3(x - 63) + 304 = -11x + 311", "solution_steps": ["Expand: 3x - 189 + 304 = -11x + 311", "Combine constants: 3x + 115 = -11x + 311", "Add 11x to both sides: 14x + 115 = 311", "Subtract 115 from both sides: 14x = 196", "Divide both sides by 14: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 63) + 304 = -11x + 311", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 63, \"c\": 304, \"d\": -11, \"f\": 311, \"x\": 14}", "seed": "1316948621378847984", "semantic_fingerprint": "sha256:7036d3d4aca193b16250bc48659f8f432283d73228ecc0d018bdbee17ed263a0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002474", "prompt": "Find x: -7(x - 4) + 28 = 7(x + 6) - 56", "solution_steps": ["Expand: -7x + 28 + 28 = 7(x + 6) - 56", "Expand: -7x + 28 + 28 = 7x + 42 - 56", "Combine constants: -7x + 56 = 7x + 42 - 56", "Combine constants: -7x + 56 = 7x - 14", "Subtract 7x from both sides: -14x + 56 = -14", "Subtract 56 from both sides: -14x = -70", "Divide both sides by -14: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 4) + 28 = 7(x + 6) - 56", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 4, \"c\": 28, \"d\": 7, \"e\": 6, \"g\": -56, \"x\": 5}", "seed": "15544286358564920414", "semantic_fingerprint": "sha256:2b462c01f19b923a981b85e7bf785b48fbdc10cc3612bbd30a1597eaaeb29e77", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002475", "prompt": "What value of x satisfies -2(x + 19) - 4 = x - 621?", "solution_steps": ["Expand: -2x - 38 - 4 = x - 621", "Combine constants: -2x - 42 = x - 621", "Subtract x from both sides: -3x - 42 = -621", "Add 42 to both sides: -3x = -579", "Divide both sides by -3: x = 193"], "final_answer": "193", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 19) - 4 = x - 621", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 19, \"c\": 4, \"d\": 621}", "seed": "1753495775135825449", "semantic_fingerprint": "sha256:b5eb862c477bc10a300d9d238f48101f53973de136208e7569f7dc39012a5d4e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002476", "prompt": "Compute: 5 - (-7) * 438 - (-56)", "solution_steps": ["Multiply: -7 * 438 = -3066", "Subtract: 5 - (-3066) = 3071", "Subtract: 3071 - (-56) = 3127"], "final_answer": "3127", "answer_type": "integer", "kind": "expression", "math_text": "5 - (-7) * 438 - (-56)", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -7, \"c\": 438, \"d\": -56}", "seed": "9532933557516705583", "semantic_fingerprint": "sha256:9c20fb775b21a914932ab0591ae903c7a17b4798dbc48c9bfb87600208163060", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002477", "prompt": "Calculate: (5 - 72) * (-2 * 7)", "solution_steps": ["Subtract: 5 - 72 = -67", "Multiply: -2 * 7 = -14", "Multiply: -67 * (-14) = 938"], "final_answer": "938", "answer_type": "integer", "kind": "expression", "math_text": "(5 - 72) * (-2 * 7)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 72, \"c\": -2, \"d\": 7}", "seed": "15727746640313739", "semantic_fingerprint": "sha256:cb822efe592feb4b890eaa4855fbb7395c5df0cb6d8fdfdd6918b01328016742", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002478", "prompt": "What is 9 * 96 + 989 * 3 / (-7)?", "solution_steps": ["Multiply: 9 * 96 = 864", "Multiply: 989 * 3 = 2967", "Divide: 2967 / (-7) = -2967/7", "Add: 864 + (-2967/7) = 3081/7"], "final_answer": "3081/7", "answer_type": "rational", "kind": "expression", "math_text": "9 * 96 + 989 * 3 / (-7)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 96, \"c\": 989, \"d\": 3, \"e\": -7}", "seed": "2266158107018756028", "semantic_fingerprint": "sha256:070ccc6460481fc49de618f1b69839540df1cd982191c01438bfdab4bbbb477d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002479", "prompt": "Find x: 7(x - 7) = 5x - 53", "solution_steps": ["Expand: 7x - 49 = 5x - 53", "Subtract 5x from both sides: 2x - 49 = -53", "Add 49 to both sides: 2x = -4", "Divide both sides by 2: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 7) = 5x - 53", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 5, \"e\": -53, \"x\": -2}", "seed": "18113500668807245022", "semantic_fingerprint": "sha256:63ef4dc42df27b4a15556fb7fd3034105c4be71ef1ef7323ceeea8ebf77f6817", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002480", "prompt": "Solve for x: -7(x - 83) + 4 = 7x + 473", "solution_steps": ["Expand: -7x + 581 + 4 = 7x + 473", "Combine constants: -7x + 585 = 7x + 473", "Subtract 7x from both sides: -14x + 585 = 473", "Subtract 585 from both sides: -14x = -112", "Divide both sides by -14: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 83) + 4 = 7x + 473", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 83, \"c\": 4, \"d\": 7, \"f\": 473, \"x\": 8}", "seed": "5052608825386333673", "semantic_fingerprint": "sha256:02de9f23bac1060c4898c4cc783219873281bc9ce7de4c6ec8b6e026025ab8fa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002481", "prompt": "What is (-8 + 758) / (31 / 4)?", "solution_steps": ["Add: -8 + 758 = 750", "Divide: 31 / 4 = 31/4", "Divide: 750 / (31/4) = 3000/31"], "final_answer": "3000/31", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + 758) / (31 / 4)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 758, \"c\": 31, \"d\": 4}", "seed": "55970057337630882", "semantic_fingerprint": "sha256:da9c3c18ce5bac5c57280a87fd0fc60d8d2a0f287f0b73df5c3722b5c431cced", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002482", "prompt": "Calculate: 7 / 35 - (-44) * (35 - 126)", "solution_steps": ["Divide: 7 / 35 = 1/5", "Subtract: 35 - 126 = -91", "Multiply: -44 * (-91) = 4004", "Subtract: 1/5 - 4004 = -20019/5"], "final_answer": "-20019/5", "answer_type": "rational", "kind": "expression", "math_text": "7 / 35 - (-44) * (35 - 126)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 35, \"c\": -44, \"d\": 35, \"e\": 126}", "seed": "5930025349214107577", "semantic_fingerprint": "sha256:9de92c5da5023bf82d52ab70621d886503d0331f372e4d3df9867fc0d82ea027", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002483", "prompt": "Solve the equation -6(x - 94) - 94 = -9(x - 36) - 822 for x.", "solution_steps": ["Expand: -6x + 564 - 94 = -9(x - 36) - 822", "Expand: -6x + 564 - 94 = -9x + 324 - 822", "Combine constants: -6x + 470 = -9x + 324 - 822", "Combine constants: -6x + 470 = -9x - 498", "Add 9x to both sides: 3x + 470 = -498", "Subtract 470 from both sides: 3x = -968", "Divide both sides by 3: x = -968/3"], "final_answer": "-968/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 94) - 94 = -9(x - 36) - 822", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 94, \"c\": 94, \"d\": -9, \"e\": 36, \"f\": 822}", "seed": "15287185381118692191", "semantic_fingerprint": "sha256:d523595fd95960fdd851c7a758dce6ae1f6528984c630516df7e06e7a068b540", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002484", "prompt": "Compute: 75 / 76 + (27 + (-2)) * 5", "solution_steps": ["Divide: 75 / 76 = 75/76", "Add: 27 + (-2) = 25", "Multiply: 25 * 5 = 125", "Add: 75/76 + 125 = 9575/76"], "final_answer": "9575/76", "answer_type": "rational", "kind": "expression", "math_text": "75 / 76 + (27 + (-2)) * 5", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 76, \"c\": 27, \"d\": -2, \"e\": 5}", "seed": "1471716021336484527", "semantic_fingerprint": "sha256:afe4b83d258bb7345c3259f605b905f0c45b5205faff86f8a81a36ae979fa5c9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002485", "prompt": "Solve the equation 8(x + 1) + 23 = -5(x + 78) - 49 for x.", "solution_steps": ["Expand: 8x + 8 + 23 = -5(x + 78) - 49", "Expand: 8x + 8 + 23 = -5x - 390 - 49", "Combine constants: 8x + 31 = -5x - 390 - 49", "Combine constants: 8x + 31 = -5x - 439", "Add 5x to both sides: 13x + 31 = -439", "Subtract 31 from both sides: 13x = -470", "Divide both sides by 13: x = -470/13"], "final_answer": "-470/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 1) + 23 = -5(x + 78) - 49", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": 23, \"d\": -5, \"e\": 78, \"f\": 49}", "seed": "10704930941306042579", "semantic_fingerprint": "sha256:0318ba7c4d1bdc71137e57453a10aa474da86045df265d634d29c351d5f89a66", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002486", "prompt": "Solve the equation 12(x - 1) - 88 = -2(x - 94) - 120 for x.", "solution_steps": ["Expand: 12x - 12 - 88 = -2(x - 94) - 120", "Expand: 12x - 12 - 88 = -2x + 188 - 120", "Combine constants: 12x - 100 = -2x + 188 - 120", "Combine constants: 12x - 100 = -2x + 68", "Add 2x to both sides: 14x - 100 = 68", "Add 100 to both sides: 14x = 168", "Divide both sides by 14: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 1) - 88 = -2(x - 94) - 120", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 1, \"c\": 88, \"d\": -2, \"e\": 94, \"g\": -120, \"x\": 12}", "seed": "15268022212670944436", "semantic_fingerprint": "sha256:094df2d24546de3fcc15e0aa6a14307e94c4aa0705f2ff0758cd13a1cfbd953c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002487", "prompt": "Find x: -10(x - 83) + 6 = 7x + 785", "solution_steps": ["Expand: -10x + 830 + 6 = 7x + 785", "Combine constants: -10x + 836 = 7x + 785", "Subtract 7x from both sides: -17x + 836 = 785", "Subtract 836 from both sides: -17x = -51", "Divide both sides by -17: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 83) + 6 = 7x + 785", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 83, \"c\": 6, \"d\": 7, \"f\": 785, \"x\": 3}", "seed": "8176333004721211394", "semantic_fingerprint": "sha256:f9e8c33479a174c48619ea6e769ad56ed21ef91370799291dd21eca1a6fa13be", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002488", "prompt": "Calculate: 31 + 17 - (-32) + (-44)", "solution_steps": ["Add: 31 + 17 = 48", "Subtract: 48 - (-32) = 80", "Add: 80 + (-44) = 36"], "final_answer": "36", "answer_type": "integer", "kind": "expression", "math_text": "31 + 17 - (-32) + (-44)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 17, \"c\": -32, \"d\": -44}", "seed": "8969032745978259577", "semantic_fingerprint": "sha256:66961ee59257a58aff1b0db9db851f17557ac51b62b2f23c60fb26cb749e0357", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002489", "prompt": "Solve the equation 11(x - 325) = -11x - 373 for x.", "solution_steps": ["Expand: 11x - 3575 = -11x - 373", "Add 11x to both sides: 22x - 3575 = -373", "Add 3575 to both sides: 22x = 3202", "Divide both sides by 22: x = 1601/11"], "final_answer": "1601/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 325) = -11x - 373", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 325, \"c\": -11, \"d\": 373}", "seed": "4206259379572529566", "semantic_fingerprint": "sha256:3f4b13982fdc58914a91b3e6cff9ee770c49e544065901fd8819dee694ccfb3e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002490", "prompt": "Solve for x: 9(x + 44) + 6 = -5(x + 111) - 3", "solution_steps": ["Expand: 9x + 396 + 6 = -5(x + 111) - 3", "Expand: 9x + 396 + 6 = -5x - 555 - 3", "Combine constants: 9x + 402 = -5x - 555 - 3", "Combine constants: 9x + 402 = -5x - 558", "Add 5x to both sides: 14x + 402 = -558", "Subtract 402 from both sides: 14x = -960", "Divide both sides by 14: x = -480/7"], "final_answer": "-480/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 44) + 6 = -5(x + 111) - 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 44, \"c\": 6, \"d\": -5, \"e\": 111, \"f\": 3}", "seed": "10853892523414558514", "semantic_fingerprint": "sha256:b1b04f842379fd96874a9e705c0fa3d9886f4a2197833dba1587700fc08f8aab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002491", "prompt": "Calculate: 7 / (-1 - 69) / (-86) + (-85)", "solution_steps": ["Subtract: -1 - 69 = -70", "Divide: 7 / (-70) = -1/10", "Divide: (-1/10) / (-86) = 1/860", "Add: 1/860 + (-85) = -73099/860"], "final_answer": "-73099/860", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-1 - 69) / (-86) + (-85)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -1, \"c\": 69, \"d\": -86, \"e\": -85}", "seed": "18194430713603587608", "semantic_fingerprint": "sha256:ec1f822504839463ca2381e6688f3e6a0c1f2f92704c646a61d6cd0b2168a01c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002492", "prompt": "Find x: -5(x - 33) - 70 = -2(x - 95) - 50", "solution_steps": ["Expand: -5x + 165 - 70 = -2(x - 95) - 50", "Expand: -5x + 165 - 70 = -2x + 190 - 50", "Combine constants: -5x + 95 = -2x + 190 - 50", "Combine constants: -5x + 95 = -2x + 140", "Add 2x to both sides: -3x + 95 = 140", "Subtract 95 from both sides: -3x = 45", "Divide both sides by -3: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 33) - 70 = -2(x - 95) - 50", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 33, \"c\": 70, \"d\": -2, \"e\": 95, \"g\": -50, \"x\": -15}", "seed": "12280749937676860773", "semantic_fingerprint": "sha256:73d18c22c180723dea9d8e0b897aed8d5c306936c56fbca642ee310dd36425ea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002493", "prompt": "Solve the equation 11(x - 80) - 3 = 2(x - 79) - 617 for x.", "solution_steps": ["Expand: 11x - 880 - 3 = 2(x - 79) - 617", "Expand: 11x - 880 - 3 = 2x - 158 - 617", "Combine constants: 11x - 883 = 2x - 158 - 617", "Combine constants: 11x - 883 = 2x - 775", "Subtract 2x from both sides: 9x - 883 = -775", "Add 883 to both sides: 9x = 108", "Divide both sides by 9: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 80) - 3 = 2(x - 79) - 617", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 80, \"c\": 3, \"d\": 2, \"e\": 79, \"g\": -617, \"x\": 12}", "seed": "7104197430140271287", "semantic_fingerprint": "sha256:e6458c55da4ad56df7345583ecd703d911dea46522bb377795016c3e7f0f53d5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002494", "prompt": "Compute: -93 / (-3) + 403 / (-1)", "solution_steps": ["Divide: -93 / (-3) = 31", "Divide: 403 / (-1) = -403", "Add: 31 + (-403) = -372"], "final_answer": "-372", "answer_type": "integer", "kind": "expression", "math_text": "-93 / (-3) + 403 / (-1)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": -3, \"c\": 403, \"d\": -1}", "seed": "1036012153237244493", "semantic_fingerprint": "sha256:62618e0092fbbce6cb43274571377b2a80cbee4d3bd0c13ea6291c2da0b6c34e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002495", "prompt": "Calculate: (6 - (-41)) * (-74 / 47)", "solution_steps": ["Subtract: 6 - (-41) = 47", "Divide: -74 / 47 = -74/47", "Multiply: 47 * (-74/47) = -74"], "final_answer": "-74", "answer_type": "integer", "kind": "expression", "math_text": "(6 - (-41)) * (-74 / 47)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -41, \"c\": -74, \"d\": 47}", "seed": "8833475063854432657", "semantic_fingerprint": "sha256:a8898739e4263c74dc8a48ca577628e6b0399f46e028d33b9743d02fc8f4d4ee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002496", "prompt": "What is -2 / (-36) + (588 / (-35) + (-66)) * (-6)?", "solution_steps": ["Divide: -2 / (-36) = 1/18", "Divide: 588 / (-35) = -84/5", "Add: -84/5 + (-66) = -414/5", "Multiply: (-414/5) * (-6) = 2484/5", "Add: 1/18 + 2484/5 = 44717/90"], "final_answer": "44717/90", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-36) + (588 / (-35) + (-66)) * (-6)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (* (+ (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -36, \"c\": 588, \"d\": -35, \"e\": -66, \"f\": -6}", "seed": "10182628199451901730", "semantic_fingerprint": "sha256:5386c6910279307d710c640b3097ac877d5ecc516969cc2445ec1e06916dfb21", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002497", "prompt": "Solve for x: 3(x - 51) + 141 = 2(x - 8)", "solution_steps": ["Expand: 3x - 153 + 141 = 2(x - 8)", "Expand: 3x - 153 + 141 = 2x - 16", "Combine constants: 3x - 12 = 2x - 16", "Subtract 2x from both sides: x - 12 = -16", "Add 12 to both sides: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 51) + 141 = 2(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 51, \"c\": 2, \"d\": 8, \"f\": 141, \"x\": -4}", "seed": "5253868448468037062", "semantic_fingerprint": "sha256:3216860ba468280ce9485f199807118f34c247228e08aa51d13b5e9c96fe7e48", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002498", "prompt": "What is -66 + 7 - (647 + (-4))?", "solution_steps": ["Add: -66 + 7 = -59", "Add: 647 + (-4) = 643", "Subtract: -59 - 643 = -702"], "final_answer": "-702", "answer_type": "integer", "kind": "expression", "math_text": "-66 + 7 - (647 + (-4))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": 7, \"c\": 647, \"d\": -4}", "seed": "8148472178144754363", "semantic_fingerprint": "sha256:091645eec0a5fc3150d0022b3d2046f8217da06fc4175ee9865dde9f81cebf73", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002499", "prompt": "Calculate: -78 / (-827 - (-27) - 2)", "solution_steps": ["Subtract: -827 - (-27) = -800", "Subtract: -800 - 2 = -802", "Divide: -78 / (-802) = 39/401"], "final_answer": "39/401", "answer_type": "rational", "kind": "expression", "math_text": "-78 / (-827 - (-27) - 2)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -827, \"c\": -27, \"d\": 2}", "seed": "8665947444568601828", "semantic_fingerprint": "sha256:b2fe6b7bc746df235052ab674b9c00d2e1eb8b1a8a929557eccdd66e8cdfa57a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002500", "prompt": "Calculate: (783 - (-26) * (-185)) * (6 / 13)", "solution_steps": ["Multiply: -26 * (-185) = 4810", "Subtract: 783 - 4810 = -4027", "Divide: 6 / 13 = 6/13", "Multiply: -4027 * (6/13) = -24162/13"], "final_answer": "-24162/13", "answer_type": "rational", "kind": "expression", "math_text": "(783 - (-26) * (-185)) * (6 / 13)", "variable": null, "family": "expression_4op", "shape": "(* (- n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 783, \"b\": -26, \"c\": -185, \"d\": 6, \"e\": 13}", "seed": "10075445682789949186", "semantic_fingerprint": "sha256:765b1b0fb96a2ee54d90e9ad1a466eaaf43b0ef1951f953a7fd991fcedbf5c23", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002501", "prompt": "What value of x satisfies -7(x - 63) + 16 = 10x + 559?", "solution_steps": ["Expand: -7x + 441 + 16 = 10x + 559", "Combine constants: -7x + 457 = 10x + 559", "Subtract 10x from both sides: -17x + 457 = 559", "Subtract 457 from both sides: -17x = 102", "Divide both sides by -17: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 63) + 16 = 10x + 559", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 63, \"c\": 16, \"d\": 10, \"f\": 559, \"x\": -6}", "seed": "17067404012839832386", "semantic_fingerprint": "sha256:206313d61384f5bc2e1e7145b66091c8b33b57b7c70e8b7f03e121ea96e107ce", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002502", "prompt": "Evaluate: -14 / (5 * (70 + 7)) * (-6 * 8)", "solution_steps": ["Add: 70 + 7 = 77", "Multiply: 5 * 77 = 385", "Divide: -14 / 385 = -2/55", "Multiply: -6 * 8 = -48", "Multiply: (-2/55) * (-48) = 96/55"], "final_answer": "96/55", "answer_type": "rational", "kind": "expression", "math_text": "-14 / (5 * (70 + 7)) * (-6 * 8)", "variable": null, "family": "expression_5op", "shape": "(* (/ n (* n (+ n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": 5, \"c\": 70, \"d\": 7, \"e\": -6, \"f\": 8}", "seed": "11839811685264306455", "semantic_fingerprint": "sha256:887c591268dd297c556c0aee90ec0b6e98a66ff06ee9959fec3a15af5849e800", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002503", "prompt": "Evaluate: -73 + 633 * (5 / 242) + (-393)", "solution_steps": ["Divide: 5 / 242 = 5/242", "Multiply: 633 * (5/242) = 3165/242", "Add: -73 + 3165/242 = -14501/242", "Add: -14501/242 + (-393) = -109607/242"], "final_answer": "-109607/242", "answer_type": "rational", "kind": "expression", "math_text": "-73 + 633 * (5 / 242) + (-393)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (* n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": 633, \"c\": 5, \"d\": 242, \"e\": -393}", "seed": "15570065611447718255", "semantic_fingerprint": "sha256:bda35a4f54373f07b01e735311812d0fda3073b6ced45128875e1097db3b9087", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002504", "prompt": "Solve for x: -10(x - 11) + 941 = 7x + 932", "solution_steps": ["Expand: -10x + 110 + 941 = 7x + 932", "Combine constants: -10x + 1051 = 7x + 932", "Subtract 7x from both sides: -17x + 1051 = 932", "Subtract 1051 from both sides: -17x = -119", "Divide both sides by -17: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 11) + 941 = 7x + 932", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 11, \"c\": 941, \"d\": 7, \"f\": 932, \"x\": 7}", "seed": "1878493004737953074", "semantic_fingerprint": "sha256:d97af9ac553e254ec6583c7efa0ff5d932222f5cc6a5907f4cddcf619a403cce", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002505", "prompt": "Evaluate: 12 / ((-7 * (-195) - (-419)) / 75)", "solution_steps": ["Multiply: -7 * (-195) = 1365", "Subtract: 1365 - (-419) = 1784", "Divide: 1784 / 75 = 1784/75", "Divide: 12 / (1784/75) = 225/446"], "final_answer": "225/446", "answer_type": "rational", "kind": "expression", "math_text": "12 / ((-7 * (-195) - (-419)) / 75)", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (- (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -7, \"c\": -195, \"d\": -419, \"e\": 75}", "seed": "17813352564612514355", "semantic_fingerprint": "sha256:333c02854fdd086aff28ba5897f8dadb1766a845ea4214e52ffdb1eec02703d8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002506", "prompt": "Calculate: (-44 / (-69) - (-3)) / (6 - 0)", "solution_steps": ["Divide: -44 / (-69) = 44/69", "Subtract: 44/69 - (-3) = 251/69", "Subtract: 6 - 0 = 6", "Divide: (251/69) / 6 = 251/414"], "final_answer": "251/414", "answer_type": "rational", "kind": "expression", "math_text": "(-44 / (-69) - (-3)) / (6 - 0)", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -69, \"c\": -3, \"d\": 6, \"e\": 0}", "seed": "13103476670867992595", "semantic_fingerprint": "sha256:b13298915eb48fe669a84ae4e1fb7d70ded84767fe7946ee76694151f22ba34b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002507", "prompt": "What value of x satisfies 11(x - 92) + 7 = 5(x - 5)?", "solution_steps": ["Expand: 11x - 1012 + 7 = 5(x - 5)", "Expand: 11x - 1012 + 7 = 5x - 25", "Combine constants: 11x - 1005 = 5x - 25", "Subtract 5x from both sides: 6x - 1005 = -25", "Add 1005 to both sides: 6x = 980", "Divide both sides by 6: x = 490/3"], "final_answer": "490/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 92) + 7 = 5(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 92, \"c\": 7, \"d\": 5, \"e\": 5}", "seed": "6665796782906593612", "semantic_fingerprint": "sha256:84c9feac55b9b9b861e2b9d0f3d079397d9f007401866e3fe67e36a3e96e5abc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002508", "prompt": "What is -4 * (-709 * (36 - (-7)))?", "solution_steps": ["Subtract: 36 - (-7) = 43", "Multiply: -709 * 43 = -30487", "Multiply: -4 * (-30487) = 121948"], "final_answer": "121948", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (-709 * (36 - (-7)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -709, \"c\": 36, \"d\": -7}", "seed": "372522971942915799", "semantic_fingerprint": "sha256:e7927198d3de8aa87ec75e6b28e52ea70f2a528bb781603a67296afd422b6aca", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002509", "prompt": "Solve for x: -5(x - 3) - 163 = 9(x - 32)", "solution_steps": ["Expand: -5x + 15 - 163 = 9(x - 32)", "Expand: -5x + 15 - 163 = 9x - 288", "Combine constants: -5x - 148 = 9x - 288", "Subtract 9x from both sides: -14x - 148 = -288", "Add 148 to both sides: -14x = -140", "Divide both sides by -14: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 3) - 163 = 9(x - 32)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 3, \"c\": 9, \"d\": 32, \"f\": -163, \"x\": 10}", "seed": "10197208107845531213", "semantic_fingerprint": "sha256:651f70d9b27632befd8a9673a8e408b1f1250b9f2a008e608e0ada466a986b4a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002510", "prompt": "Solve for x: 2(x + 157) + 8 = -7(x + 841) - 64", "solution_steps": ["Expand: 2x + 314 + 8 = -7(x + 841) - 64", "Expand: 2x + 314 + 8 = -7x - 5887 - 64", "Combine constants: 2x + 322 = -7x - 5887 - 64", "Combine constants: 2x + 322 = -7x - 5951", "Add 7x to both sides: 9x + 322 = -5951", "Subtract 322 from both sides: 9x = -6273", "Divide both sides by 9: x = -697"], "final_answer": "-697", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 157) + 8 = -7(x + 841) - 64", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 157, \"c\": 8, \"d\": -7, \"e\": 841, \"f\": 64}", "seed": "4178945705287808118", "semantic_fingerprint": "sha256:351d54e12205c59abae22f05b4604f07bf6e559797827d5726d3e20cd025c4a3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002511", "prompt": "What value of x satisfies 5(x - 9) - 56 = 6(x - 3) - 71?", "solution_steps": ["Expand: 5x - 45 - 56 = 6(x - 3) - 71", "Expand: 5x - 45 - 56 = 6x - 18 - 71", "Combine constants: 5x - 101 = 6x - 18 - 71", "Combine constants: 5x - 101 = 6x - 89", "Subtract 6x from both sides: -x - 101 = -89", "Add 101 to both sides: -x = 12", "Divide both sides by -1: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 9) - 56 = 6(x - 3) - 71", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 56, \"d\": 6, \"e\": 3, \"g\": -71, \"x\": -12}", "seed": "6356389051388012727", "semantic_fingerprint": "sha256:ca0172a6bc54078458140b4a5be2ac552ff99cf68832b20c501efddc65ded7c2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002512", "prompt": "What value of x satisfies 10(x - 115) + 974 = 4(x - 44)?", "solution_steps": ["Expand: 10x - 1150 + 974 = 4(x - 44)", "Expand: 10x - 1150 + 974 = 4x - 176", "Combine constants: 10x - 176 = 4x - 176", "Subtract 4x from both sides: 6x - 176 = -176", "Add 176 to both sides: 6x = 0", "Divide both sides by 6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 115) + 974 = 4(x - 44)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 115, \"c\": 4, \"d\": 44, \"f\": 974, \"x\": 0}", "seed": "16285933656398548925", "semantic_fingerprint": "sha256:c5553b2eed3035028c6e5a58c96d1c12d06775e742f793facbd3689d5b2deeef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002513", "prompt": "What is -343 + (-8) - 20 / (-616) + 81?", "solution_steps": ["Add: -343 + (-8) = -351", "Divide: 20 / (-616) = -5/154", "Subtract: -351 - (-5/154) = -54049/154", "Add: -54049/154 + 81 = -41575/154"], "final_answer": "-41575/154", "answer_type": "rational", "kind": "expression", "math_text": "-343 + (-8) - 20 / (-616) + 81", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -343, \"b\": -8, \"c\": 20, \"d\": -616, \"e\": 81}", "seed": "12947522597971717945", "semantic_fingerprint": "sha256:60381942fa111092cf7f80d3b454a0f668ca991ea286cccd60f919b22c9bdcf2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002514", "prompt": "Evaluate: -979 + (-4) - (-689) + (-45) / (3 + (-8))", "solution_steps": ["Add: -979 + (-4) = -983", "Subtract: -983 - (-689) = -294", "Add: 3 + (-8) = -5", "Divide: -45 / (-5) = 9", "Add: -294 + 9 = -285"], "final_answer": "-285", "answer_type": "integer", "kind": "expression", "math_text": "-979 + (-4) - (-689) + (-45) / (3 + (-8))", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n n) n) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -979, \"b\": -4, \"c\": -689, \"d\": -45, \"e\": 3, \"f\": -8}", "seed": "2405857440257131373", "semantic_fingerprint": "sha256:f5f5da7441be397884d7b30b47b47a1a2fde93d93c94c9c5e5c36a15451d9185", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002515", "prompt": "Calculate: 2 * (6 * (-82)) - 29", "solution_steps": ["Multiply: 6 * (-82) = -492", "Multiply: 2 * (-492) = -984", "Subtract: -984 - 29 = -1013"], "final_answer": "-1013", "answer_type": "integer", "kind": "expression", "math_text": "2 * (6 * (-82)) - 29", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": -82, \"d\": 29}", "seed": "14132543934375403181", "semantic_fingerprint": "sha256:9538310eaba6759fe26809176976c64c43f2cb343fbb66f50a93150ff19053ec", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002516", "prompt": "Evaluate: -717 + (-63) - (-1 + 9)", "solution_steps": ["Add: -717 + (-63) = -780", "Add: -1 + 9 = 8", "Subtract: -780 - 8 = -788"], "final_answer": "-788", "answer_type": "integer", "kind": "expression", "math_text": "-717 + (-63) - (-1 + 9)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -717, \"b\": -63, \"c\": -1, \"d\": 9}", "seed": "7149037069979383594", "semantic_fingerprint": "sha256:61bfd694e224d72d6e014d90069e9f158443b76653c96f6b2d7a27dd0c79abc1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002517", "prompt": "Compute: (-615 - (-6)) * 3 - (-7) - 0 / (-1)", "solution_steps": ["Subtract: -615 - (-6) = -609", "Multiply: -609 * 3 = -1827", "Subtract: -1827 - (-7) = -1820", "Divide: 0 / (-1) = 0", "Subtract: -1820 - 0 = -1820"], "final_answer": "-1820", "answer_type": "integer", "kind": "expression", "math_text": "(-615 - (-6)) * 3 - (-7) - 0 / (-1)", "variable": null, "family": "expression_5op", "shape": "(- (- (* (- n n) n) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -615, \"b\": -6, \"c\": 3, \"d\": -7, \"e\": 0, \"f\": -1}", "seed": "2169876016568649622", "semantic_fingerprint": "sha256:e1f9390876ec3b4b955e83119354b4988d14f9843d4e8bb90142701d39c5804b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002518", "prompt": "Solve for x: 10x - 37 = 5(x + 2) + 18", "solution_steps": ["Expand: 10x - 37 = 5x + 10 + 18", "Combine constants: 10x - 37 = 5x + 28", "Subtract 5x from both sides: 5x - 37 = 28", "Add 37 to both sides: 5x = 65", "Divide both sides by 5: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 37 = 5(x + 2) + 18", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 37, \"c\": 5, \"d\": 2, \"f\": 18, \"x\": 13}", "seed": "4160555461182323221", "semantic_fingerprint": "sha256:4a18d54ef08437d9dc9beccc694ab665fbd0b8112b9f29afc43610a75ffe6e62", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002519", "prompt": "Compute: 62 + (-96) / 884 + 0 * (-7)", "solution_steps": ["Divide: -96 / 884 = -24/221", "Add: 62 + (-24/221) = 13678/221", "Multiply: 0 * (-7) = 0", "Add: 13678/221 + 0 = 13678/221"], "final_answer": "13678/221", "answer_type": "rational", "kind": "expression", "math_text": "62 + (-96) / 884 + 0 * (-7)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -96, \"c\": 884, \"d\": 0, \"e\": -7}", "seed": "7301796261526982730", "semantic_fingerprint": "sha256:8100a5e6603e3153efd31c54f32da285ab91a881513cae4543905a99ab234e55", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002520", "prompt": "Find x: 5(x - 49) + 340 = 12(x - 2)", "solution_steps": ["Expand: 5x - 245 + 340 = 12(x - 2)", "Expand: 5x - 245 + 340 = 12x - 24", "Combine constants: 5x + 95 = 12x - 24", "Subtract 12x from both sides: -7x + 95 = -24", "Subtract 95 from both sides: -7x = -119", "Divide both sides by -7: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 49) + 340 = 12(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 49, \"c\": 12, \"d\": 2, \"f\": 340, \"x\": 17}", "seed": "14422615001292673482", "semantic_fingerprint": "sha256:b4d799c6f882f145980035a7f9b1070eb9c3721951ac6085c1c84e8a23c544a6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002521", "prompt": "What is (-96 - (-97)) / (-59 * (-98))?", "solution_steps": ["Subtract: -96 - (-97) = 1", "Multiply: -59 * (-98) = 5782", "Divide: 1 / 5782 = 1/5782"], "final_answer": "1/5782", "answer_type": "rational", "kind": "expression", "math_text": "(-96 - (-97)) / (-59 * (-98))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": -97, \"c\": -59, \"d\": -98}", "seed": "12071293367723793610", "semantic_fingerprint": "sha256:c15b02497c937d977712d3525c8b8acf7b32ef90479cf30635dfa0d221f958f5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002522", "prompt": "Calculate: -66 + (846 * 8 - 69)", "solution_steps": ["Multiply: 846 * 8 = 6768", "Subtract: 6768 - 69 = 6699", "Add: -66 + 6699 = 6633"], "final_answer": "6633", "answer_type": "integer", "kind": "expression", "math_text": "-66 + (846 * 8 - 69)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": 846, \"c\": 8, \"d\": 69}", "seed": "6514679762073715674", "semantic_fingerprint": "sha256:ee6aa67eea10957084fab755382d82865be173eddf7a21b7789c77a5b90d3ddb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002523", "prompt": "Calculate: 21 / (-73) + (96 + (6 - 3) * 414)", "solution_steps": ["Divide: 21 / (-73) = -21/73", "Subtract: 6 - 3 = 3", "Multiply: 3 * 414 = 1242", "Add: 96 + 1242 = 1338", "Add: -21/73 + 1338 = 97653/73"], "final_answer": "97653/73", "answer_type": "rational", "kind": "expression", "math_text": "21 / (-73) + (96 + (6 - 3) * 414)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (+ n (* (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": -73, \"c\": 96, \"d\": 6, \"e\": 3, \"f\": 414}", "seed": "8562238571365613", "semantic_fingerprint": "sha256:6d8926a4f3bdb1905a706b51cbef9039a72711dc8c9e355de6b2791aba4b52fe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002524", "prompt": "Calculate: -648 / (4 - 3) / 86 - 17 / (-55)", "solution_steps": ["Subtract: 4 - 3 = 1", "Divide: -648 / 1 = -648", "Divide: -648 / 86 = -324/43", "Divide: 17 / (-55) = -17/55", "Subtract: -324/43 - (-17/55) = -17089/2365"], "final_answer": "-17089/2365", "answer_type": "rational", "kind": "expression", "math_text": "-648 / (4 - 3) / 86 - 17 / (-55)", "variable": null, "family": "expression_5op", "shape": "(- (/ (/ n (- n n)) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -648, \"b\": 4, \"c\": 3, \"d\": 86, \"e\": 17, \"f\": -55}", "seed": "7024959461847635588", "semantic_fingerprint": "sha256:c11f0f83c1f9e92c44a4d426c27e1be696928d9f525ee77c2e4bf9f6d7e56510", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002525", "prompt": "Solve for x: 5(x - 7) + 49 = 9x + 58", "solution_steps": ["Expand: 5x - 35 + 49 = 9x + 58", "Combine constants: 5x + 14 = 9x + 58", "Subtract 9x from both sides: -4x + 14 = 58", "Subtract 14 from both sides: -4x = 44", "Divide both sides by -4: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 7) + 49 = 9x + 58", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": 49, \"d\": 9, \"f\": 58, \"x\": -11}", "seed": "16991414512851553441", "semantic_fingerprint": "sha256:1edb283cf21f51ac3e17be9758d502af46e5e62da970d739de9baec43d14e454", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002526", "prompt": "Evaluate: -150 - 66 * (-45 - (-16)) + (290 + 130)", "solution_steps": ["Subtract: -45 - (-16) = -29", "Multiply: 66 * (-29) = -1914", "Subtract: -150 - (-1914) = 1764", "Add: 290 + 130 = 420", "Add: 1764 + 420 = 2184"], "final_answer": "2184", "answer_type": "integer", "kind": "expression", "math_text": "-150 - 66 * (-45 - (-16)) + (290 + 130)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (* n (- n n))) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -150, \"b\": 66, \"c\": -45, \"d\": -16, \"e\": 290, \"f\": 130}", "seed": "16831935197035997105", "semantic_fingerprint": "sha256:98a32df2b8ab55e118fca633182ec0a5a0cc2a64ed61cb85a0dc5c47c50a3905", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002527", "prompt": "Evaluate: -503 + (-26) / (-96) / 32", "solution_steps": ["Divide: -26 / (-96) = 13/48", "Divide: (13/48) / 32 = 13/1536", "Add: -503 + 13/1536 = -772595/1536"], "final_answer": "-772595/1536", "answer_type": "rational", "kind": "expression", "math_text": "-503 + (-26) / (-96) / 32", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -503, \"b\": -26, \"c\": -96, \"d\": 32}", "seed": "17362506787418941307", "semantic_fingerprint": "sha256:c41fca41c03b1d97690a1b083c97f05ca5ef1052add7a3ff31082f77ecae7894", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002528", "prompt": "What value of x satisfies 4(x - 1) = 12x - 878?", "solution_steps": ["Expand: 4x - 4 = 12x - 878", "Subtract 12x from both sides: -8x - 4 = -878", "Add 4 to both sides: -8x = -874", "Divide both sides by -8: x = 437/4"], "final_answer": "437/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 1) = 12x - 878", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 12, \"d\": 878}", "seed": "1837497974638166312", "semantic_fingerprint": "sha256:c9180b6fe954a2734694bbd997f733fe04b52c7d64f978acf49e01f29ff9fb56", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002529", "prompt": "Evaluate: -68 * (116 / 7 / 11 + 0)", "solution_steps": ["Divide: 116 / 7 = 116/7", "Divide: (116/7) / 11 = 116/77", "Add: 116/77 + 0 = 116/77", "Multiply: -68 * (116/77) = -7888/77"], "final_answer": "-7888/77", "answer_type": "rational", "kind": "expression", "math_text": "-68 * (116 / 7 / 11 + 0)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (/ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": 116, \"c\": 7, \"d\": 11, \"e\": 0}", "seed": "13682630802960041539", "semantic_fingerprint": "sha256:8f59757bf657fe16365b53e6cb9e7328f88335b6fb603c4c2c55c5ccd301c5f9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002530", "prompt": "What is 75 + (-31) - (-5) + 53?", "solution_steps": ["Add: 75 + (-31) = 44", "Subtract: 44 - (-5) = 49", "Add: 49 + 53 = 102"], "final_answer": "102", "answer_type": "integer", "kind": "expression", "math_text": "75 + (-31) - (-5) + 53", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -31, \"c\": -5, \"d\": 53}", "seed": "16196101524382303208", "semantic_fingerprint": "sha256:db6e7b30b4518cc99994af1c8258b0ff8bd201a1ff90bdcb1cad0b53ec2fd660", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002531", "prompt": "Find x: -3(x - 4) + 596 = -11(x - 8)", "solution_steps": ["Expand: -3x + 12 + 596 = -11(x - 8)", "Expand: -3x + 12 + 596 = -11x + 88", "Combine constants: -3x + 608 = -11x + 88", "Add 11x to both sides: 8x + 608 = 88", "Subtract 608 from both sides: 8x = -520", "Divide both sides by 8: x = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 4) + 596 = -11(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 4, \"c\": 596, \"d\": -11, \"e\": 8}", "seed": "13925694334864207646", "semantic_fingerprint": "sha256:113cebfd392f6b80f1a4f1f53d507ed95c9b0310fa5492e56066521c6e56d9e5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002532", "prompt": "Compute: 97 - (30 * 94 + 73) - 721 * (-21)", "solution_steps": ["Multiply: 30 * 94 = 2820", "Add: 2820 + 73 = 2893", "Subtract: 97 - 2893 = -2796", "Multiply: 721 * (-21) = -15141", "Subtract: -2796 - (-15141) = 12345"], "final_answer": "12345", "answer_type": "integer", "kind": "expression", "math_text": "97 - (30 * 94 + 73) - 721 * (-21)", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ (* n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": 30, \"c\": 94, \"d\": 73, \"e\": 721, \"f\": -21}", "seed": "12546252541363905258", "semantic_fingerprint": "sha256:d8b9cc6777daba95797897fadac3ee0507bc0cb6d68da777b67c50672a745419", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002533", "prompt": "Find x: 7(x - 1) = 8x - 23", "solution_steps": ["Expand: 7x - 7 = 8x - 23", "Subtract 8x from both sides: -x - 7 = -23", "Add 7 to both sides: -x = -16", "Divide both sides by -1: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 1) = 8x - 23", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 1, \"c\": 8, \"e\": -23, \"x\": 16}", "seed": "718721360183771904", "semantic_fingerprint": "sha256:43cc6e333427495419dc5152995eeb9d9b3194f5dc220697a7207ac20b80e742", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002534", "prompt": "Compute: -5 - (-818 * (56 - 0) - (-4))", "solution_steps": ["Subtract: 56 - 0 = 56", "Multiply: -818 * 56 = -45808", "Subtract: -45808 - (-4) = -45804", "Subtract: -5 - (-45804) = 45799"], "final_answer": "45799", "answer_type": "integer", "kind": "expression", "math_text": "-5 - (-818 * (56 - 0) - (-4))", "variable": null, "family": "expression_4op", "shape": "(- n (- (* n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -818, \"c\": 56, \"d\": 0, \"e\": -4}", "seed": "7658204123794760136", "semantic_fingerprint": "sha256:1706559708260917a31fa3267bdf93fb6f1e7c0ff285ca2afa35f4564cddb892", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002535", "prompt": "Solve for x: 5(x - 95) + 381 = 2(x - 35)", "solution_steps": ["Expand: 5x - 475 + 381 = 2(x - 35)", "Expand: 5x - 475 + 381 = 2x - 70", "Combine constants: 5x - 94 = 2x - 70", "Subtract 2x from both sides: 3x - 94 = -70", "Add 94 to both sides: 3x = 24", "Divide both sides by 3: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 95) + 381 = 2(x - 35)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 95, \"c\": 2, \"d\": 35, \"f\": 381, \"x\": 8}", "seed": "3349175827824884961", "semantic_fingerprint": "sha256:4058974d2433e8b7adba70c521139f6bbc59abbbe0b748b4efed7e4acc547cff", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002536", "prompt": "What value of x satisfies 7(x - 63) - 30 = 5(x - 5) - 474?", "solution_steps": ["Expand: 7x - 441 - 30 = 5(x - 5) - 474", "Expand: 7x - 441 - 30 = 5x - 25 - 474", "Combine constants: 7x - 471 = 5x - 25 - 474", "Combine constants: 7x - 471 = 5x - 499", "Subtract 5x from both sides: 2x - 471 = -499", "Add 471 to both sides: 2x = -28", "Divide both sides by 2: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 63) - 30 = 5(x - 5) - 474", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 63, \"c\": 30, \"d\": 5, \"e\": 5, \"g\": -474, \"x\": -14}", "seed": "3030497996482545633", "semantic_fingerprint": "sha256:f8cf2c3bdaad6523a8a96a0cac82c433fd68245475f79afdf9bb0ef56d122023", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002537", "prompt": "Solve for x: 9(x - 3) + 72 = 11(x + 37) - 338", "solution_steps": ["Expand: 9x - 27 + 72 = 11(x + 37) - 338", "Expand: 9x - 27 + 72 = 11x + 407 - 338", "Combine constants: 9x + 45 = 11x + 407 - 338", "Combine constants: 9x + 45 = 11x + 69", "Subtract 11x from both sides: -2x + 45 = 69", "Subtract 45 from both sides: -2x = 24", "Divide both sides by -2: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 3) + 72 = 11(x + 37) - 338", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 72, \"d\": 11, \"e\": 37, \"g\": -338, \"x\": -12}", "seed": "13663361923970608769", "semantic_fingerprint": "sha256:8e8edaafa4e76b523490da68a1343352bb432b12edf1a898b1d65331a2cfaf02", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002538", "prompt": "Evaluate: 25 + (1 + (-5)) + (-50) * (-85)", "solution_steps": ["Add: 1 + (-5) = -4", "Add: 25 + (-4) = 21", "Multiply: -50 * (-85) = 4250", "Add: 21 + 4250 = 4271"], "final_answer": "4271", "answer_type": "integer", "kind": "expression", "math_text": "25 + (1 + (-5)) + (-50) * (-85)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": 1, \"c\": -5, \"d\": -50, \"e\": -85}", "seed": "14190173356745659687", "semantic_fingerprint": "sha256:362ca4f50ded96c964cefe5385e32c1d5506251c7ea1ce5f21167254b33d2c88", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002539", "prompt": "What is 93 - (2 - (-4) + 76 / 7)?", "solution_steps": ["Subtract: 2 - (-4) = 6", "Divide: 76 / 7 = 76/7", "Add: 6 + 76/7 = 118/7", "Subtract: 93 - 118/7 = 533/7"], "final_answer": "533/7", "answer_type": "rational", "kind": "expression", "math_text": "93 - (2 - (-4) + 76 / 7)", "variable": null, "family": "expression_4op", "shape": "(- n (+ (- n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 2, \"c\": -4, \"d\": 76, \"e\": 7}", "seed": "12457658899281919340", "semantic_fingerprint": "sha256:2305864abf5f36e8ccb77d6166a3869a4e778ec156699f28063e6180d00a6686", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002540", "prompt": "Evaluate: 0 + (-1 + (-5)) - (-2)", "solution_steps": ["Add: -1 + (-5) = -6", "Add: 0 + (-6) = -6", "Subtract: -6 - (-2) = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-1 + (-5)) - (-2)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -1, \"c\": -5, \"d\": -2}", "seed": "5096387331417257301", "semantic_fingerprint": "sha256:7894e95a9d95b8609a761ad25108a8772feb2f90d12546d293c59bd642e3ccab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002541", "prompt": "What is -38 + (-894 + (-4)) - 7?", "solution_steps": ["Add: -894 + (-4) = -898", "Add: -38 + (-898) = -936", "Subtract: -936 - 7 = -943"], "final_answer": "-943", "answer_type": "integer", "kind": "expression", "math_text": "-38 + (-894 + (-4)) - 7", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": -894, \"c\": -4, \"d\": 7}", "seed": "16846699637889054444", "semantic_fingerprint": "sha256:1e1d5f6027167062e3934af13f9dae60ecb2a2f4fb32635e241871e04e8704fb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002542", "prompt": "Find x: 8x - 32 = -9(x + 8) + 40", "solution_steps": ["Expand: 8x - 32 = -9x - 72 + 40", "Combine constants: 8x - 32 = -9x - 32", "Add 9x to both sides: 17x - 32 = -32", "Add 32 to both sides: 17x = 0", "Divide both sides by 17: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 32 = -9(x + 8) + 40", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 32, \"c\": -9, \"d\": 8, \"f\": 40, \"x\": 0}", "seed": "3274445501841448267", "semantic_fingerprint": "sha256:ec278fb54edf54b862e340fc717d52fa82f53637c19425d04d235f7c6af60858", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002543", "prompt": "Evaluate: (287 + 51 / 4) * (-24 * (-5))", "solution_steps": ["Divide: 51 / 4 = 51/4", "Add: 287 + 51/4 = 1199/4", "Multiply: -24 * (-5) = 120", "Multiply: (1199/4) * 120 = 35970"], "final_answer": "35970", "answer_type": "integer", "kind": "expression", "math_text": "(287 + 51 / 4) * (-24 * (-5))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 287, \"b\": 51, \"c\": 4, \"d\": -24, \"e\": -5}", "seed": "8815039205437071553", "semantic_fingerprint": "sha256:a1889cd6371646ce512ec756d0c3991a5fa6928fefc1624daee3b223c3af5283", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002544", "prompt": "Solve the equation 10(x + 33) - 6 = x - 762 for x.", "solution_steps": ["Expand: 10x + 330 - 6 = x - 762", "Combine constants: 10x + 324 = x - 762", "Subtract x from both sides: 9x + 324 = -762", "Subtract 324 from both sides: 9x = -1086", "Divide both sides by 9: x = -362/3"], "final_answer": "-362/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 33) - 6 = x - 762", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 33, \"c\": 6, \"d\": 762}", "seed": "358538258141170714", "semantic_fingerprint": "sha256:6b62e180dac05ea9a9e2b2f11a37d24af06c97368c1a86958d2f7f52f7ad92a7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002545", "prompt": "Evaluate: -2 / (-725 - (-213) + (-841))", "solution_steps": ["Subtract: -725 - (-213) = -512", "Add: -512 + (-841) = -1353", "Divide: -2 / (-1353) = 2/1353"], "final_answer": "2/1353", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-725 - (-213) + (-841))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -725, \"c\": -213, \"d\": -841}", "seed": "16920861073938835623", "semantic_fingerprint": "sha256:531fee9c291941ad0e09457ce7da30945d0e184a4975945158b76689d431f41a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002546", "prompt": "Compute: -83 + 208 - (2 + (-94))", "solution_steps": ["Add: -83 + 208 = 125", "Add: 2 + (-94) = -92", "Subtract: 125 - (-92) = 217"], "final_answer": "217", "answer_type": "integer", "kind": "expression", "math_text": "-83 + 208 - (2 + (-94))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": 208, \"c\": 2, \"d\": -94}", "seed": "3841286580653402421", "semantic_fingerprint": "sha256:b77b825bd803b7dc982238b12b31c806e7782d9f30570568d731517c697c9ed3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002547", "prompt": "What is (-11 - 67) / (157 * 45)?", "solution_steps": ["Subtract: -11 - 67 = -78", "Multiply: 157 * 45 = 7065", "Divide: -78 / 7065 = -26/2355"], "final_answer": "-26/2355", "answer_type": "rational", "kind": "expression", "math_text": "(-11 - 67) / (157 * 45)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 67, \"c\": 157, \"d\": 45}", "seed": "14490345011364424052", "semantic_fingerprint": "sha256:5c0b0fb31a6050e7fb8a1c2f0d370a272329f80fa0dc2e11adfe1dc8f5f7c6d3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002548", "prompt": "Solve for x: -3(x - 35) + 51 = 5x + 284", "solution_steps": ["Expand: -3x + 105 + 51 = 5x + 284", "Combine constants: -3x + 156 = 5x + 284", "Subtract 5x from both sides: -8x + 156 = 284", "Subtract 156 from both sides: -8x = 128", "Divide both sides by -8: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 35) + 51 = 5x + 284", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 35, \"c\": 51, \"d\": 5, \"f\": 284, \"x\": -16}", "seed": "12498260084281029711", "semantic_fingerprint": "sha256:99321d52e7905a84bed49a8df111b309517703d64be899b4740046a6e5d3cb86", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002549", "prompt": "What value of x satisfies 10(x - 82) = 7x - 847?", "solution_steps": ["Expand: 10x - 820 = 7x - 847", "Subtract 7x from both sides: 3x - 820 = -847", "Add 820 to both sides: 3x = -27", "Divide both sides by 3: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 82) = 7x - 847", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 82, \"c\": 7, \"e\": -847, \"x\": -9}", "seed": "3540029745151197076", "semantic_fingerprint": "sha256:fe0fe20c9009ca80bbae3eaa947409ee331ce148eca9fd2ded94430501d67fbf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002550", "prompt": "Find x: 11(x - 66) + 497 = 4(x + 52) - 311", "solution_steps": ["Expand: 11x - 726 + 497 = 4(x + 52) - 311", "Expand: 11x - 726 + 497 = 4x + 208 - 311", "Combine constants: 11x - 229 = 4x + 208 - 311", "Combine constants: 11x - 229 = 4x - 103", "Subtract 4x from both sides: 7x - 229 = -103", "Add 229 to both sides: 7x = 126", "Divide both sides by 7: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 66) + 497 = 4(x + 52) - 311", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 66, \"c\": 497, \"d\": 4, \"e\": 52, \"g\": -311, \"x\": 18}", "seed": "15656117858299502154", "semantic_fingerprint": "sha256:251d0ce173febb90610c7b3ed7d1fe08da831e136d8705771e6e4a01cd55f855", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002551", "prompt": "What is 5 + (-7 + (-567)) / (-12 * 8)?", "solution_steps": ["Add: -7 + (-567) = -574", "Multiply: -12 * 8 = -96", "Divide: -574 / (-96) = 287/48", "Add: 5 + 287/48 = 527/48"], "final_answer": "527/48", "answer_type": "rational", "kind": "expression", "math_text": "5 + (-7 + (-567)) / (-12 * 8)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (+ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -7, \"c\": -567, \"d\": -12, \"e\": 8}", "seed": "6832502752330909921", "semantic_fingerprint": "sha256:22a12c29679702c4fd69d3d18960b48fb7e53b9522a1121e2300fc7ea0904017", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002552", "prompt": "Compute: 3 - 949 + (-506 + (-59)) + (-79 + (-514))", "solution_steps": ["Subtract: 3 - 949 = -946", "Add: -506 + (-59) = -565", "Add: -946 + (-565) = -1511", "Add: -79 + (-514) = -593", "Add: -1511 + (-593) = -2104"], "final_answer": "-2104", "answer_type": "integer", "kind": "expression", "math_text": "3 - 949 + (-506 + (-59)) + (-79 + (-514))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 949, \"c\": -506, \"d\": -59, \"e\": -79, \"f\": -514}", "seed": "16219322309185068484", "semantic_fingerprint": "sha256:ff8dff2f6850e6f54114a418a10af50c85c80985d2af9d85c54697877eb97a9e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002553", "prompt": "Find x: -8(x - 8) - 2 = 7(x - 3) - 52", "solution_steps": ["Expand: -8x + 64 - 2 = 7(x - 3) - 52", "Expand: -8x + 64 - 2 = 7x - 21 - 52", "Combine constants: -8x + 62 = 7x - 21 - 52", "Combine constants: -8x + 62 = 7x - 73", "Subtract 7x from both sides: -15x + 62 = -73", "Subtract 62 from both sides: -15x = -135", "Divide both sides by -15: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 8) - 2 = 7(x - 3) - 52", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 8, \"c\": 2, \"d\": 7, \"e\": 3, \"g\": -52, \"x\": 9}", "seed": "11163707851995740795", "semantic_fingerprint": "sha256:5016089c4a445d2db5e9824eebc7141edd12aa800aab6ce986d0768224d8a64f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002554", "prompt": "Solve for x: x - 8 = 12(x - 63) + 957", "solution_steps": ["Expand: x - 8 = 12x - 756 + 957", "Combine constants: x - 8 = 12x + 201", "Subtract 12x from both sides: -11x - 8 = 201", "Add 8 to both sides: -11x = 209", "Divide both sides by -11: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8 = 12(x - 63) + 957", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 12, \"c\": 63, \"e\": 957, \"x\": -19}", "seed": "14192477426073348174", "semantic_fingerprint": "sha256:dedb906f10567a93a5810310e06d6ecd6ae28d1e11e41dcbf3a429823d1a9871", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002555", "prompt": "Solve for x: x - 80 = 8(x - 89) + 684", "solution_steps": ["Expand: x - 80 = 8x - 712 + 684", "Combine constants: x - 80 = 8x - 28", "Subtract 8x from both sides: -7x - 80 = -28", "Add 80 to both sides: -7x = 52", "Divide both sides by -7: x = -52/7"], "final_answer": "-52/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 80 = 8(x - 89) + 684", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": 8, \"c\": 89, \"d\": 684}", "seed": "2715002596795900143", "semantic_fingerprint": "sha256:2f061e4c0c799da441b2ef43d0645109a069c02a169f22cfe5b7b5dba968342a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002556", "prompt": "Solve the equation 2(x - 9) + 116 = -9(x - 6) for x.", "solution_steps": ["Expand: 2x - 18 + 116 = -9(x - 6)", "Expand: 2x - 18 + 116 = -9x + 54", "Combine constants: 2x + 98 = -9x + 54", "Add 9x to both sides: 11x + 98 = 54", "Subtract 98 from both sides: 11x = -44", "Divide both sides by 11: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 9) + 116 = -9(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": -9, \"d\": 6, \"f\": 116, \"x\": -4}", "seed": "7524810175477246004", "semantic_fingerprint": "sha256:5bf9b4cbfcf7c185e00606f97d74c871ba0b45ae2fb5ff2facec15e84b2e9df0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002557", "prompt": "Solve for x: -2(x - 61) - 154 = -11(x - 16)", "solution_steps": ["Expand: -2x + 122 - 154 = -11(x - 16)", "Expand: -2x + 122 - 154 = -11x + 176", "Combine constants: -2x - 32 = -11x + 176", "Add 11x to both sides: 9x - 32 = 176", "Add 32 to both sides: 9x = 208", "Divide both sides by 9: x = 208/9"], "final_answer": "208/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 61) - 154 = -11(x - 16)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 61, \"c\": 154, \"d\": -11, \"e\": 16}", "seed": "297276499988427646", "semantic_fingerprint": "sha256:a19abfa88c782314366684bc5da1b93762b3eb1d086901f2f39ae5cae8a343b0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002558", "prompt": "Solve the equation 4(x - 28) = -4x - 32 for x.", "solution_steps": ["Expand: 4x - 112 = -4x - 32", "Add 4x to both sides: 8x - 112 = -32", "Add 112 to both sides: 8x = 80", "Divide both sides by 8: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 28) = -4x - 32", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 28, \"c\": -4, \"e\": -32, \"x\": 10}", "seed": "18088481761257734692", "semantic_fingerprint": "sha256:75208d05b13d285d5a65f0f665e9f4dc3fa99b41c13ff36c2d8345e59e8d2c08", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002559", "prompt": "What is (54 / 9 - 11) / (-7 - 4)?", "solution_steps": ["Divide: 54 / 9 = 6", "Subtract: 6 - 11 = -5", "Subtract: -7 - 4 = -11", "Divide: -5 / (-11) = 5/11"], "final_answer": "5/11", "answer_type": "rational", "kind": "expression", "math_text": "(54 / 9 - 11) / (-7 - 4)", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 9, \"c\": 11, \"d\": -7, \"e\": 4}", "seed": "3552289415243252565", "semantic_fingerprint": "sha256:ea2ab8b2818535b0c4262faa5a2a39cc6546e79dab4cf023331b561c117a9c33", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002560", "prompt": "Find x: 6(x - 50) = 2x - 352", "solution_steps": ["Expand: 6x - 300 = 2x - 352", "Subtract 2x from both sides: 4x - 300 = -352", "Add 300 to both sides: 4x = -52", "Divide both sides by 4: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 50) = 2x - 352", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 50, \"c\": 2, \"e\": -352, \"x\": -13}", "seed": "14276384020070823098", "semantic_fingerprint": "sha256:47c4cade9f2ca0af684ca2b86d6ae05b1802d112d305e9f6c1578163055f5fb6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002561", "prompt": "What value of x satisfies 3(x - 419) - 4 = 9(x - 330) - 88?", "solution_steps": ["Expand: 3x - 1257 - 4 = 9(x - 330) - 88", "Expand: 3x - 1257 - 4 = 9x - 2970 - 88", "Combine constants: 3x - 1261 = 9x - 2970 - 88", "Combine constants: 3x - 1261 = 9x - 3058", "Subtract 9x from both sides: -6x - 1261 = -3058", "Add 1261 to both sides: -6x = -1797", "Divide both sides by -6: x = 599/2"], "final_answer": "599/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 419) - 4 = 9(x - 330) - 88", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 419, \"c\": 4, \"d\": 9, \"e\": 330, \"f\": 88}", "seed": "16160637407512873291", "semantic_fingerprint": "sha256:89a5fdf28ac9da51491da462b764fa872afb0624f8e17097018dcf3a41eafb3c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002562", "prompt": "Compute: -6 * ((-81 - (-8) / 34) / 24)", "solution_steps": ["Divide: -8 / 34 = -4/17", "Subtract: -81 - (-4/17) = -1373/17", "Divide: (-1373/17) / 24 = -1373/408", "Multiply: -6 * (-1373/408) = 1373/68"], "final_answer": "1373/68", "answer_type": "rational", "kind": "expression", "math_text": "-6 * ((-81 - (-8) / 34) / 24)", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -81, \"c\": -8, \"d\": 34, \"e\": 24}", "seed": "5250425140118352358", "semantic_fingerprint": "sha256:7d29c923620408376b34aa4304abd9947faeb8c9b9cda8bebbd42174ea7163e4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002563", "prompt": "Evaluate: 2 - (990 + (-338 - (338 + 351))) + 9", "solution_steps": ["Add: 338 + 351 = 689", "Subtract: -338 - 689 = -1027", "Add: 990 + (-1027) = -37", "Subtract: 2 - (-37) = 39", "Add: 39 + 9 = 48"], "final_answer": "48", "answer_type": "integer", "kind": "expression", "math_text": "2 - (990 + (-338 - (338 + 351))) + 9", "variable": null, "family": "expression_5op", "shape": "(+ (- n (+ n (- n (+ n n)))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 990, \"c\": -338, \"d\": 338, \"e\": 351, \"f\": 9}", "seed": "2239291820863981851", "semantic_fingerprint": "sha256:91611ffc8f873ca574ec01d2f27d3bcb1b092b94c3e94510a40b5faa1496ab23", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002564", "prompt": "What value of x satisfies 9(x - 41) - 12 = 11(x - 27) - 5?", "solution_steps": ["Expand: 9x - 369 - 12 = 11(x - 27) - 5", "Expand: 9x - 369 - 12 = 11x - 297 - 5", "Combine constants: 9x - 381 = 11x - 297 - 5", "Combine constants: 9x - 381 = 11x - 302", "Subtract 11x from both sides: -2x - 381 = -302", "Add 381 to both sides: -2x = 79", "Divide both sides by -2: x = -79/2"], "final_answer": "-79/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 41) - 12 = 11(x - 27) - 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 41, \"c\": 12, \"d\": 11, \"e\": 27, \"f\": 5}", "seed": "494030295623481569", "semantic_fingerprint": "sha256:88a9a64ceb395a0509793cabd2db3e0ce2383d8aa6490fea1dc3bde718852e50", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002565", "prompt": "Find x: 5(x - 75) = 7x - 373", "solution_steps": ["Expand: 5x - 375 = 7x - 373", "Subtract 7x from both sides: -2x - 375 = -373", "Add 375 to both sides: -2x = 2", "Divide both sides by -2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 75) = 7x - 373", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 75, \"c\": 7, \"e\": -373, \"x\": -1}", "seed": "6518828339418137236", "semantic_fingerprint": "sha256:cfa1167b2462f5601c84c378ba5442a57f5ecfe5669f0a9756a2498ddad9fcea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002566", "prompt": "Compute: (-602 - 7) * (-4) * 9", "solution_steps": ["Subtract: -602 - 7 = -609", "Multiply: -609 * (-4) = 2436", "Multiply: 2436 * 9 = 21924"], "final_answer": "21924", "answer_type": "integer", "kind": "expression", "math_text": "(-602 - 7) * (-4) * 9", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -602, \"b\": 7, \"c\": -4, \"d\": 9}", "seed": "4942837336617992127", "semantic_fingerprint": "sha256:60d0857c5479ed18ac18bb88215b6e7f20f0ec0c0369d7fa8c2eb753f76c5697", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002567", "prompt": "Evaluate: -1 * 962 / (460 * (-2) - 871)", "solution_steps": ["Multiply: -1 * 962 = -962", "Multiply: 460 * (-2) = -920", "Subtract: -920 - 871 = -1791", "Divide: -962 / (-1791) = 962/1791"], "final_answer": "962/1791", "answer_type": "rational", "kind": "expression", "math_text": "-1 * 962 / (460 * (-2) - 871)", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (- (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 962, \"c\": 460, \"d\": -2, \"e\": 871}", "seed": "10998110316283244583", "semantic_fingerprint": "sha256:820a2d31898995c8893e86d92720039e7f97c2396495e6ef615ac020102df5d1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002568", "prompt": "What value of x satisfies x - 53 = 9(x - 5) + 48?", "solution_steps": ["Expand: x - 53 = 9x - 45 + 48", "Combine constants: x - 53 = 9x + 3", "Subtract 9x from both sides: -8x - 53 = 3", "Add 53 to both sides: -8x = 56", "Divide both sides by -8: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 53 = 9(x - 5) + 48", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": 9, \"c\": 5, \"e\": 48, \"x\": -7}", "seed": "16460817719080355351", "semantic_fingerprint": "sha256:6e391a7d35371223708eec6a8a8f7025ce840612269f04a01f3919a0c7addfd7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002569", "prompt": "Compute: (-56 - (-97)) * (-48) * 9", "solution_steps": ["Subtract: -56 - (-97) = 41", "Multiply: 41 * (-48) = -1968", "Multiply: -1968 * 9 = -17712"], "final_answer": "-17712", "answer_type": "integer", "kind": "expression", "math_text": "(-56 - (-97)) * (-48) * 9", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": -97, \"c\": -48, \"d\": 9}", "seed": "13359118624829716738", "semantic_fingerprint": "sha256:eeadde3f5b5ea066f6095882f018236d7b0d759400d2122fb020605cff37c48e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002570", "prompt": "Evaluate: 9 / (-4) + (-98 - 2 - 30)", "solution_steps": ["Divide: 9 / (-4) = -9/4", "Subtract: -98 - 2 = -100", "Subtract: -100 - 30 = -130", "Add: -9/4 + (-130) = -529/4"], "final_answer": "-529/4", "answer_type": "rational", "kind": "expression", "math_text": "9 / (-4) + (-98 - 2 - 30)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -4, \"c\": -98, \"d\": 2, \"e\": 30}", "seed": "9379099233739760356", "semantic_fingerprint": "sha256:b029f8f7adb11f599648db5f6e63fbec3d0243c2cca1e44f654819c5c8742ef2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002571", "prompt": "Calculate: -6 - (-798) / (40 / (-806))", "solution_steps": ["Divide: 40 / (-806) = -20/403", "Divide: -798 / (-20/403) = 160797/10", "Subtract: -6 - 160797/10 = -160857/10"], "final_answer": "-160857/10", "answer_type": "rational", "kind": "expression", "math_text": "-6 - (-798) / (40 / (-806))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -798, \"c\": 40, \"d\": -806}", "seed": "15395780856972980577", "semantic_fingerprint": "sha256:97dff575492b745e201c333454d0a7512da9e7d1adb038e8f23f9a26bb31036e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002572", "prompt": "What value of x satisfies -4(x - 199) + 205 = -5(x - 204)?", "solution_steps": ["Expand: -4x + 796 + 205 = -5(x - 204)", "Expand: -4x + 796 + 205 = -5x + 1020", "Combine constants: -4x + 1001 = -5x + 1020", "Add 5x to both sides: x + 1001 = 1020", "Subtract 1001 from both sides: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 199) + 205 = -5(x - 204)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 199, \"c\": -5, \"d\": 204, \"f\": 205, \"x\": 19}", "seed": "16781459462292157651", "semantic_fingerprint": "sha256:f12759821e4052ac364319ae336f077a4562a19e959902f99ca3a2a024498a51", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002573", "prompt": "Evaluate: 84 - (92 * (-541) + (-407))", "solution_steps": ["Multiply: 92 * (-541) = -49772", "Add: -49772 + (-407) = -50179", "Subtract: 84 - (-50179) = 50263"], "final_answer": "50263", "answer_type": "integer", "kind": "expression", "math_text": "84 - (92 * (-541) + (-407))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": 92, \"c\": -541, \"d\": -407}", "seed": "11543653913512870675", "semantic_fingerprint": "sha256:989eac1bf30d91fb866cd1ed5416548b2ab681173d33291829777737c7471003", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002574", "prompt": "Evaluate: -564 / (9 * (45 + (-1)) * (-18 + (-63)))", "solution_steps": ["Add: 45 + (-1) = 44", "Multiply: 9 * 44 = 396", "Add: -18 + (-63) = -81", "Multiply: 396 * (-81) = -32076", "Divide: -564 / (-32076) = 47/2673"], "final_answer": "47/2673", "answer_type": "rational", "kind": "expression", "math_text": "-564 / (9 * (45 + (-1)) * (-18 + (-63)))", "variable": null, "family": "expression_5op", "shape": "(/ n (* (* n (+ n n)) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -564, \"b\": 9, \"c\": 45, \"d\": -1, \"e\": -18, \"f\": -63}", "seed": "8554161996680783094", "semantic_fingerprint": "sha256:da7ffee6e9bff7d7d3530f81b50ca830c1b18f060b983fb0ff4e51717affc571", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002575", "prompt": "Solve for x: -7(x - 61) + 66 = 2(x - 4)", "solution_steps": ["Expand: -7x + 427 + 66 = 2(x - 4)", "Expand: -7x + 427 + 66 = 2x - 8", "Combine constants: -7x + 493 = 2x - 8", "Subtract 2x from both sides: -9x + 493 = -8", "Subtract 493 from both sides: -9x = -501", "Divide both sides by -9: x = 167/3"], "final_answer": "167/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x - 61) + 66 = 2(x - 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 61, \"c\": 66, \"d\": 2, \"e\": 4}", "seed": "5116325749227504172", "semantic_fingerprint": "sha256:096d132ecde8ff15a1f687e90005ff30d5290473c47f8f13bf1f6019e458f40f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002576", "prompt": "Calculate: 9 + (8 * 51 - 75) + 82 + 3", "solution_steps": ["Multiply: 8 * 51 = 408", "Subtract: 408 - 75 = 333", "Add: 9 + 333 = 342", "Add: 342 + 82 = 424", "Add: 424 + 3 = 427"], "final_answer": "427", "answer_type": "integer", "kind": "expression", "math_text": "9 + (8 * 51 - 75) + 82 + 3", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ n (- (* n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 51, \"d\": 75, \"e\": 82, \"f\": 3}", "seed": "17547748259917155367", "semantic_fingerprint": "sha256:5c98d54a3d8dc1975a9d5b2aff981bb4096863d9a78d40209567b7cf9241660d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002577", "prompt": "Compute: -5 * (-67) / 61 / (-4)", "solution_steps": ["Multiply: -5 * (-67) = 335", "Divide: 335 / 61 = 335/61", "Divide: (335/61) / (-4) = -335/244"], "final_answer": "-335/244", "answer_type": "rational", "kind": "expression", "math_text": "-5 * (-67) / 61 / (-4)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -67, \"c\": 61, \"d\": -4}", "seed": "7878120427057820789", "semantic_fingerprint": "sha256:f51f9ca935659c8f9de042c97cfc5a808c4592134773c487eb166cccfb488a80", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002578", "prompt": "Calculate: 63 / (-9 + 96) / (90 / 9)", "solution_steps": ["Add: -9 + 96 = 87", "Divide: 63 / 87 = 21/29", "Divide: 90 / 9 = 10", "Divide: (21/29) / 10 = 21/290"], "final_answer": "21/290", "answer_type": "rational", "kind": "expression", "math_text": "63 / (-9 + 96) / (90 / 9)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -9, \"c\": 96, \"d\": 90, \"e\": 9}", "seed": "2005751965118113032", "semantic_fingerprint": "sha256:3c8877c14d6feef9f1e480651854884e294ef4aa6127e211a2a66ae441ed809d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002579", "prompt": "Find x: x - 61 = 9(x - 15) + 170", "solution_steps": ["Expand: x - 61 = 9x - 135 + 170", "Combine constants: x - 61 = 9x + 35", "Subtract 9x from both sides: -8x - 61 = 35", "Add 61 to both sides: -8x = 96", "Divide both sides by -8: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 61 = 9(x - 15) + 170", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": 9, \"c\": 15, \"e\": 170, \"x\": -12}", "seed": "9587381087118389756", "semantic_fingerprint": "sha256:585d81fef905de7945c68d22d6041e7587386f1f40f046436e4e6f91ed1858f4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002580", "prompt": "Calculate: (-17 / (-151) - 441 - 88) / (-9)", "solution_steps": ["Divide: -17 / (-151) = 17/151", "Subtract: 17/151 - 441 = -66574/151", "Subtract: -66574/151 - 88 = -79862/151", "Divide: (-79862/151) / (-9) = 79862/1359"], "final_answer": "79862/1359", "answer_type": "rational", "kind": "expression", "math_text": "(-17 / (-151) - 441 - 88) / (-9)", "variable": null, "family": "expression_4op", "shape": "(/ (- (- (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": -151, \"c\": 441, \"d\": 88, \"e\": -9}", "seed": "8747881237080471580", "semantic_fingerprint": "sha256:86b3c76c1947ab3cab390b7eae785f8761d63f5c37c9a3a589a073b8a7faa04c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002581", "prompt": "Calculate: 92 - (-19 + (-69)) * (-274) * (-8 - 5)", "solution_steps": ["Add: -19 + (-69) = -88", "Multiply: -88 * (-274) = 24112", "Subtract: -8 - 5 = -13", "Multiply: 24112 * (-13) = -313456", "Subtract: 92 - (-313456) = 313548"], "final_answer": "313548", "answer_type": "integer", "kind": "expression", "math_text": "92 - (-19 + (-69)) * (-274) * (-8 - 5)", "variable": null, "family": "expression_5op", "shape": "(- n (* (* (+ n n) n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": -19, \"c\": -69, \"d\": -274, \"e\": -8, \"f\": 5}", "seed": "16380653837035111134", "semantic_fingerprint": "sha256:1289e0afcfe124784506edc5e362e64c197bc0ebb7741a045f2cc3411fb391b0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002582", "prompt": "Find x: -8(x - 9) - 29 = 2(x - 959)", "solution_steps": ["Expand: -8x + 72 - 29 = 2(x - 959)", "Expand: -8x + 72 - 29 = 2x - 1918", "Combine constants: -8x + 43 = 2x - 1918", "Subtract 2x from both sides: -10x + 43 = -1918", "Subtract 43 from both sides: -10x = -1961", "Divide both sides by -10: x = 1961/10"], "final_answer": "1961/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 9) - 29 = 2(x - 959)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 9, \"c\": 29, \"d\": 2, \"e\": 959}", "seed": "3368827729575496442", "semantic_fingerprint": "sha256:38f911af142e8aa792e7f73fed750779a85f5d69b6fd21625de407f5f9b47a88", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002583", "prompt": "Evaluate: 3 * (-867 - (-1) + (-15))", "solution_steps": ["Subtract: -867 - (-1) = -866", "Add: -866 + (-15) = -881", "Multiply: 3 * (-881) = -2643"], "final_answer": "-2643", "answer_type": "integer", "kind": "expression", "math_text": "3 * (-867 - (-1) + (-15))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -867, \"c\": -1, \"d\": -15}", "seed": "6694423691949387590", "semantic_fingerprint": "sha256:fb5479623ba76c01e27281bbd379f19fe1112b97830240e8a494370085e02361", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002584", "prompt": "What is -4 - (3 + 71 + (-5 + 3))?", "solution_steps": ["Add: 3 + 71 = 74", "Add: -5 + 3 = -2", "Add: 74 + (-2) = 72", "Subtract: -4 - 72 = -76"], "final_answer": "-76", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (3 + 71 + (-5 + 3))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": 71, \"d\": -5, \"e\": 3}", "seed": "10576270539793322689", "semantic_fingerprint": "sha256:cc187578ef26e072b30ef471cb983bcc626fd18d3e1ce24f48c9b1d53f87c202", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002585", "prompt": "Compute: 83 * (2 / (-3)) / (-16 - 2 / (-9))", "solution_steps": ["Divide: 2 / (-3) = -2/3", "Multiply: 83 * (-2/3) = -166/3", "Divide: 2 / (-9) = -2/9", "Subtract: -16 - (-2/9) = -142/9", "Divide: (-166/3) / (-142/9) = 249/71"], "final_answer": "249/71", "answer_type": "rational", "kind": "expression", "math_text": "83 * (2 / (-3)) / (-16 - 2 / (-9))", "variable": null, "family": "expression_5op", "shape": "(/ (* n (/ n n)) (- n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 2, \"c\": -3, \"d\": -16, \"e\": 2, \"f\": -9}", "seed": "4347540514631685522", "semantic_fingerprint": "sha256:e89da73c4c6275344ee5236f705dd5c2168c0588a4d5bf852fb345e9411eff6d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002586", "prompt": "What is -848 + (74 * 208 - 57)?", "solution_steps": ["Multiply: 74 * 208 = 15392", "Subtract: 15392 - 57 = 15335", "Add: -848 + 15335 = 14487"], "final_answer": "14487", "answer_type": "integer", "kind": "expression", "math_text": "-848 + (74 * 208 - 57)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -848, \"b\": 74, \"c\": 208, \"d\": 57}", "seed": "851011664737748932", "semantic_fingerprint": "sha256:fcbd772954f38a643d153c2fa11a0d1bd798820aea7165314101cbd6516db4d9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002587", "prompt": "Calculate: -574 / (56 / (87 * (-9)))", "solution_steps": ["Multiply: 87 * (-9) = -783", "Divide: 56 / (-783) = -56/783", "Divide: -574 / (-56/783) = 32103/4"], "final_answer": "32103/4", "answer_type": "rational", "kind": "expression", "math_text": "-574 / (56 / (87 * (-9)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -574, \"b\": 56, \"c\": 87, \"d\": -9}", "seed": "6911042760681068436", "semantic_fingerprint": "sha256:d0d97d75ebb3c5d6523af5af6621fa7332e5df24a62fd9755474f204d57b486c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002588", "prompt": "Evaluate: 3 * ((-5 - 726) / (-6 / 87))", "solution_steps": ["Subtract: -5 - 726 = -731", "Divide: -6 / 87 = -2/29", "Divide: -731 / (-2/29) = 21199/2", "Multiply: 3 * (21199/2) = 63597/2"], "final_answer": "63597/2", "answer_type": "rational", "kind": "expression", "math_text": "3 * ((-5 - 726) / (-6 / 87))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -5, \"c\": 726, \"d\": -6, \"e\": 87}", "seed": "18243373496771783846", "semantic_fingerprint": "sha256:5713b3274357bd31973a9b19b18fec1d53f56b0d49a2ef7e897f8f348ffc404b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002589", "prompt": "Calculate: 20 + 49 - (-4) + (-523)", "solution_steps": ["Add: 20 + 49 = 69", "Subtract: 69 - (-4) = 73", "Add: 73 + (-523) = -450"], "final_answer": "-450", "answer_type": "integer", "kind": "expression", "math_text": "20 + 49 - (-4) + (-523)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": 49, \"c\": -4, \"d\": -523}", "seed": "8859647124339063904", "semantic_fingerprint": "sha256:34f6865ae622cf782ec7897184c2d358f3777f85e3dd9c3ec6b0e4bc76742d2d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002590", "prompt": "Compute: 1 * 706 / (1 + (-4))", "solution_steps": ["Multiply: 1 * 706 = 706", "Add: 1 + (-4) = -3", "Divide: 706 / (-3) = -706/3"], "final_answer": "-706/3", "answer_type": "rational", "kind": "expression", "math_text": "1 * 706 / (1 + (-4))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 706, \"c\": 1, \"d\": -4}", "seed": "8153345365776916338", "semantic_fingerprint": "sha256:9c5828c4e943656148768e72b10b74427f97c9fe5ed3629c35c3333f5d6e5afd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002591", "prompt": "What is (35 * 38 + (-3)) * (-8)?", "solution_steps": ["Multiply: 35 * 38 = 1330", "Add: 1330 + (-3) = 1327", "Multiply: 1327 * (-8) = -10616"], "final_answer": "-10616", "answer_type": "integer", "kind": "expression", "math_text": "(35 * 38 + (-3)) * (-8)", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 38, \"c\": -3, \"d\": -8}", "seed": "6193421754986774514", "semantic_fingerprint": "sha256:70cc236a8f13bf741f69ca9cee1149b8ec4d2f62d0260f7fec2cc4d4ac498dba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002592", "prompt": "What value of x satisfies 12(x - 2) + 2 = 2(x - 605)?", "solution_steps": ["Expand: 12x - 24 + 2 = 2(x - 605)", "Expand: 12x - 24 + 2 = 2x - 1210", "Combine constants: 12x - 22 = 2x - 1210", "Subtract 2x from both sides: 10x - 22 = -1210", "Add 22 to both sides: 10x = -1188", "Divide both sides by 10: x = -594/5"], "final_answer": "-594/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 2) + 2 = 2(x - 605)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 2, \"d\": 2, \"e\": 605}", "seed": "18220377753215106401", "semantic_fingerprint": "sha256:e2dc02b81fe96bced6dac627b935844b1dbce653cc4476fe814779d048df795d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002593", "prompt": "Compute: (-67 - (-1) - (-82 + (-312))) / (-5 * 93)", "solution_steps": ["Subtract: -67 - (-1) = -66", "Add: -82 + (-312) = -394", "Subtract: -66 - (-394) = 328", "Multiply: -5 * 93 = -465", "Divide: 328 / (-465) = -328/465"], "final_answer": "-328/465", "answer_type": "rational", "kind": "expression", "math_text": "(-67 - (-1) - (-82 + (-312))) / (-5 * 93)", "variable": null, "family": "expression_5op", "shape": "(/ (- (- n n) (+ n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": -1, \"c\": -82, \"d\": -312, \"e\": -5, \"f\": 93}", "seed": "17515704840361456280", "semantic_fingerprint": "sha256:73e938d113f8eb9e2b30f7033527c5af4fe626ab8c21dbddb237c260aea83bb7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002594", "prompt": "What is (-5 + 3) / (8 * (-78)) - 74?", "solution_steps": ["Add: -5 + 3 = -2", "Multiply: 8 * (-78) = -624", "Divide: -2 / (-624) = 1/312", "Subtract: 1/312 - 74 = -23087/312"], "final_answer": "-23087/312", "answer_type": "rational", "kind": "expression", "math_text": "(-5 + 3) / (8 * (-78)) - 74", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 3, \"c\": 8, \"d\": -78, \"e\": 74}", "seed": "13466419118092163834", "semantic_fingerprint": "sha256:c6e16ebe8edc9576bdf053879dd005658775a86925e671f033007fc44b313f54", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002595", "prompt": "What is (5 + (779 + (-137)) - 85) / (-6)?", "solution_steps": ["Add: 779 + (-137) = 642", "Add: 5 + 642 = 647", "Subtract: 647 - 85 = 562", "Divide: 562 / (-6) = -281/3"], "final_answer": "-281/3", "answer_type": "rational", "kind": "expression", "math_text": "(5 + (779 + (-137)) - 85) / (-6)", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 779, \"c\": -137, \"d\": 85, \"e\": -6}", "seed": "12062159506560421515", "semantic_fingerprint": "sha256:c52b1e2345fc373dfae8cc7f358ddb24940f64210b76f7af8a241713e8662188", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002596", "prompt": "Evaluate: (-4 - (-6)) / ((-49 + (-565) + (-1)) / (-631))", "solution_steps": ["Subtract: -4 - (-6) = 2", "Add: -49 + (-565) = -614", "Add: -614 + (-1) = -615", "Divide: -615 / (-631) = 615/631", "Divide: 2 / (615/631) = 1262/615"], "final_answer": "1262/615", "answer_type": "rational", "kind": "expression", "math_text": "(-4 - (-6)) / ((-49 + (-565) + (-1)) / (-631))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (/ (+ (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -6, \"c\": -49, \"d\": -565, \"e\": -1, \"f\": -631}", "seed": "13271036992830795940", "semantic_fingerprint": "sha256:4e30dcf0ca52a0d251c602a49c47c95bc5722715d9512c7f7704f34ed0bf3d85", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002597", "prompt": "Evaluate: -3 * (9 + 15 / 341) - 9", "solution_steps": ["Divide: 15 / 341 = 15/341", "Add: 9 + 15/341 = 3084/341", "Multiply: -3 * (3084/341) = -9252/341", "Subtract: -9252/341 - 9 = -12321/341"], "final_answer": "-12321/341", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (9 + 15 / 341) - 9", "variable": null, "family": "expression_4op", "shape": "(- (* n (+ n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 9, \"c\": 15, \"d\": 341, \"e\": 9}", "seed": "3871555082729234841", "semantic_fingerprint": "sha256:e0444a3a03f670374d7e1b2912645f3128569f1a41fc171acac808798f9ef78e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002598", "prompt": "Solve the equation 7(x - 15) = 4x - 123 for x.", "solution_steps": ["Expand: 7x - 105 = 4x - 123", "Subtract 4x from both sides: 3x - 105 = -123", "Add 105 to both sides: 3x = -18", "Divide both sides by 3: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 15) = 4x - 123", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 15, \"c\": 4, \"e\": -123, \"x\": -6}", "seed": "15579943678513185766", "semantic_fingerprint": "sha256:7ab5794ea7bc70ec86e09fe419ac4dbcbe67f899e3a59ed4a50d64db46964536", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002599", "prompt": "Compute: -515 + 97 / (-75 - 0)", "solution_steps": ["Subtract: -75 - 0 = -75", "Divide: 97 / (-75) = -97/75", "Add: -515 + (-97/75) = -38722/75"], "final_answer": "-38722/75", "answer_type": "rational", "kind": "expression", "math_text": "-515 + 97 / (-75 - 0)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -515, \"b\": 97, \"c\": -75, \"d\": 0}", "seed": "10629266223146265175", "semantic_fingerprint": "sha256:7d1e99ea1f4e01d2ec2501a6ce646c55c8a18f4a0aa707c0f41b111a85c3a09a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002600", "prompt": "Solve for x: -12(x - 63) + 21 = 9x + 819", "solution_steps": ["Expand: -12x + 756 + 21 = 9x + 819", "Combine constants: -12x + 777 = 9x + 819", "Subtract 9x from both sides: -21x + 777 = 819", "Subtract 777 from both sides: -21x = 42", "Divide both sides by -21: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 63) + 21 = 9x + 819", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 63, \"c\": 21, \"d\": 9, \"f\": 819, \"x\": -2}", "seed": "5598646001997084628", "semantic_fingerprint": "sha256:a2d40f77a11f75217fe95d0f6c3cf7cc7b3ff2f1351c5c228bb1d83b4e559dbf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002601", "prompt": "What value of x satisfies 6(x - 75) = 7x - 467?", "solution_steps": ["Expand: 6x - 450 = 7x - 467", "Subtract 7x from both sides: -x - 450 = -467", "Add 450 to both sides: -x = -17", "Divide both sides by -1: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 75) = 7x - 467", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 75, \"c\": 7, \"e\": -467, \"x\": 17}", "seed": "6186329232183556050", "semantic_fingerprint": "sha256:ff0d68243b9488071b8569059bc3749d483f17138f83eddcdcba4d30e582332c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002602", "prompt": "Solve the equation -11x - 3 = -8(x + 6) + 69 for x.", "solution_steps": ["Expand: -11x - 3 = -8x - 48 + 69", "Combine constants: -11x - 3 = -8x + 21", "Add 8x to both sides: -3x - 3 = 21", "Add 3 to both sides: -3x = 24", "Divide both sides by -3: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 3 = -8(x + 6) + 69", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 3, \"c\": -8, \"d\": 6, \"f\": 69, \"x\": -8}", "seed": "18191091833220945291", "semantic_fingerprint": "sha256:969fa17dad035450eb78a71855bfc0b50acabc22ec893a698b885c7257c94b6e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002603", "prompt": "Find x: x - 43 = 3(x - 52) + 107", "solution_steps": ["Expand: x - 43 = 3x - 156 + 107", "Combine constants: x - 43 = 3x - 49", "Subtract 3x from both sides: -2x - 43 = -49", "Add 43 to both sides: -2x = -6", "Divide both sides by -2: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 43 = 3(x - 52) + 107", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": 3, \"c\": 52, \"e\": 107, \"x\": 3}", "seed": "12983884700220482846", "semantic_fingerprint": "sha256:7cdac6d00e7db48946354c6316e49527f00395af312f40d79bfe313094361d3a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002604", "prompt": "Find x: -2(x + 27) - 41 = x - 41", "solution_steps": ["Expand: -2x - 54 - 41 = x - 41", "Combine constants: -2x - 95 = x - 41", "Subtract x from both sides: -3x - 95 = -41", "Add 95 to both sides: -3x = 54", "Divide both sides by -3: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 27) - 41 = x - 41", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 27, \"c\": 41, \"e\": -41, \"x\": -18}", "seed": "12503257685574968829", "semantic_fingerprint": "sha256:8c5578dbab9dee54bb62bb8b03f6d92e7aa9a0760f141d9a01273aecc6dd3080", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002605", "prompt": "Find x: -4(x - 23) + 551 = 8x + 595", "solution_steps": ["Expand: -4x + 92 + 551 = 8x + 595", "Combine constants: -4x + 643 = 8x + 595", "Subtract 8x from both sides: -12x + 643 = 595", "Subtract 643 from both sides: -12x = -48", "Divide both sides by -12: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 23) + 551 = 8x + 595", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 23, \"c\": 551, \"d\": 8, \"f\": 595, \"x\": 4}", "seed": "16625357830389365117", "semantic_fingerprint": "sha256:16c6d74a71e3ff77144bf791a32936060bb22cfa746705f4971d311e5088c13a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002606", "prompt": "Solve the equation -11(x + 8) - 65 = x - 57 for x.", "solution_steps": ["Expand: -11x - 88 - 65 = x - 57", "Combine constants: -11x - 153 = x - 57", "Subtract x from both sides: -12x - 153 = -57", "Add 153 to both sides: -12x = 96", "Divide both sides by -12: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 8) - 65 = x - 57", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 8, \"c\": 65, \"e\": -57, \"x\": -8}", "seed": "5505725147409294128", "semantic_fingerprint": "sha256:3d432b81fb2fccc32f691ea43985bf18ba08dfe42c9c75ea131a26524a5cde6a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002607", "prompt": "What value of x satisfies 2(x - 42) - 99 = -6(x - 72) - 87?", "solution_steps": ["Expand: 2x - 84 - 99 = -6(x - 72) - 87", "Expand: 2x - 84 - 99 = -6x + 432 - 87", "Combine constants: 2x - 183 = -6x + 432 - 87", "Combine constants: 2x - 183 = -6x + 345", "Add 6x to both sides: 8x - 183 = 345", "Add 183 to both sides: 8x = 528", "Divide both sides by 8: x = 66"], "final_answer": "66", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 42) - 99 = -6(x - 72) - 87", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 42, \"c\": 99, \"d\": -6, \"e\": 72, \"f\": 87}", "seed": "12392271320066084090", "semantic_fingerprint": "sha256:a2b32363d8f7ee5b8f29bb27683c7a81228980624eb831876f3491c83c147a13", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002608", "prompt": "Evaluate: (73 - (-1) + (-676)) * (-7)", "solution_steps": ["Subtract: 73 - (-1) = 74", "Add: 74 + (-676) = -602", "Multiply: -602 * (-7) = 4214"], "final_answer": "4214", "answer_type": "integer", "kind": "expression", "math_text": "(73 - (-1) + (-676)) * (-7)", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -1, \"c\": -676, \"d\": -7}", "seed": "15240283374292328298", "semantic_fingerprint": "sha256:4d5515524066eabf19d6619350056875b6cf346473bbbc83dcbd3e2ef0933066", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002609", "prompt": "Evaluate: -5 * (-8) * (-2) + (-46) / (-2)", "solution_steps": ["Multiply: -5 * (-8) = 40", "Multiply: 40 * (-2) = -80", "Divide: -46 / (-2) = 23", "Add: -80 + 23 = -57"], "final_answer": "-57", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-8) * (-2) + (-46) / (-2)", "variable": null, "family": "expression_4op", "shape": "(+ (* (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -8, \"c\": -2, \"d\": -46, \"e\": -2}", "seed": "17298445160321542127", "semantic_fingerprint": "sha256:dbc4ff8c62d174aa8162f24c05bd177e46477ad7e48d253ea2b08d7b0a87e68f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002610", "prompt": "Calculate: (-250 - (-13)) / (-9 * 8)", "solution_steps": ["Subtract: -250 - (-13) = -237", "Multiply: -9 * 8 = -72", "Divide: -237 / (-72) = 79/24"], "final_answer": "79/24", "answer_type": "rational", "kind": "expression", "math_text": "(-250 - (-13)) / (-9 * 8)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -250, \"b\": -13, \"c\": -9, \"d\": 8}", "seed": "18147019429430278533", "semantic_fingerprint": "sha256:a077d1d60a3917a3c0f4f67be90087f18508da49afcea9aa80e3c3a956cee46c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002611", "prompt": "Evaluate: (-55 + 3 + (-49)) * 21", "solution_steps": ["Add: -55 + 3 = -52", "Add: -52 + (-49) = -101", "Multiply: -101 * 21 = -2121"], "final_answer": "-2121", "answer_type": "integer", "kind": "expression", "math_text": "(-55 + 3 + (-49)) * 21", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 3, \"c\": -49, \"d\": 21}", "seed": "285982058009750327", "semantic_fingerprint": "sha256:609e62018467f47d0003143e461de600053ac7d05d0f9323407978f16a879eed", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002612", "prompt": "Solve for x: 10(x - 35) - 446 = 7(x - 7) - 765", "solution_steps": ["Expand: 10x - 350 - 446 = 7(x - 7) - 765", "Expand: 10x - 350 - 446 = 7x - 49 - 765", "Combine constants: 10x - 796 = 7x - 49 - 765", "Combine constants: 10x - 796 = 7x - 814", "Subtract 7x from both sides: 3x - 796 = -814", "Add 796 to both sides: 3x = -18", "Divide both sides by 3: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 35) - 446 = 7(x - 7) - 765", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 35, \"c\": 446, \"d\": 7, \"e\": 7, \"g\": -765, \"x\": -6}", "seed": "9402410870897356834", "semantic_fingerprint": "sha256:a05a42ac6e7ee93572507c7dc86ddd372fbc5237cd1df849ddbe8948d95707ee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002613", "prompt": "What value of x satisfies 6(x - 38) - 70 = 7(x - 261) - 7?", "solution_steps": ["Expand: 6x - 228 - 70 = 7(x - 261) - 7", "Expand: 6x - 228 - 70 = 7x - 1827 - 7", "Combine constants: 6x - 298 = 7x - 1827 - 7", "Combine constants: 6x - 298 = 7x - 1834", "Subtract 7x from both sides: -x - 298 = -1834", "Add 298 to both sides: -x = -1536", "Divide both sides by -1: x = 1536"], "final_answer": "1536", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 38) - 70 = 7(x - 261) - 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 38, \"c\": 70, \"d\": 7, \"e\": 261, \"f\": 7}", "seed": "3896748608651372239", "semantic_fingerprint": "sha256:31717ed02da20736a971225be39fb430ec696c7818b1c558026280fc264ba07d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002614", "prompt": "Solve the equation 6(x - 84) - 34 = -7(x - 1) - 558 for x.", "solution_steps": ["Expand: 6x - 504 - 34 = -7(x - 1) - 558", "Expand: 6x - 504 - 34 = -7x + 7 - 558", "Combine constants: 6x - 538 = -7x + 7 - 558", "Combine constants: 6x - 538 = -7x - 551", "Add 7x to both sides: 13x - 538 = -551", "Add 538 to both sides: 13x = -13", "Divide both sides by 13: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 84) - 34 = -7(x - 1) - 558", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 84, \"c\": 34, \"d\": -7, \"e\": 1, \"g\": -558, \"x\": -1}", "seed": "17675648172990781208", "semantic_fingerprint": "sha256:b594a8c563962c1d7e05b693aceafb35ade19594a2e5e575c66e91ca5be314a2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002615", "prompt": "What is (29 / 8 - (-70)) / (103 - (-1))?", "solution_steps": ["Divide: 29 / 8 = 29/8", "Subtract: 29/8 - (-70) = 589/8", "Subtract: 103 - (-1) = 104", "Divide: (589/8) / 104 = 589/832"], "final_answer": "589/832", "answer_type": "rational", "kind": "expression", "math_text": "(29 / 8 - (-70)) / (103 - (-1))", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 8, \"c\": -70, \"d\": 103, \"e\": -1}", "seed": "7698583678297140751", "semantic_fingerprint": "sha256:5ceedd608819638a82c910381ac8135278c103c49c1cc5efe19271c7b4315b39", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002616", "prompt": "What is -2 * 5 / (79 / (6 - 5))?", "solution_steps": ["Multiply: -2 * 5 = -10", "Subtract: 6 - 5 = 1", "Divide: 79 / 1 = 79", "Divide: -10 / 79 = -10/79"], "final_answer": "-10/79", "answer_type": "rational", "kind": "expression", "math_text": "-2 * 5 / (79 / (6 - 5))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 5, \"c\": 79, \"d\": 6, \"e\": 5}", "seed": "11852350799014531367", "semantic_fingerprint": "sha256:b28477bef86d2cff6b0bd3645e475bab2d7dd719150b97bbf71b27e56312245d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002617", "prompt": "Calculate: 1 + (-76 + 6) - 9", "solution_steps": ["Add: -76 + 6 = -70", "Add: 1 + (-70) = -69", "Subtract: -69 - 9 = -78"], "final_answer": "-78", "answer_type": "integer", "kind": "expression", "math_text": "1 + (-76 + 6) - 9", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -76, \"c\": 6, \"d\": 9}", "seed": "13957142160005094349", "semantic_fingerprint": "sha256:97abc6850384aed2d4fb6edc3349e6cec236a09372e88828259ca1ef91fcf712", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002618", "prompt": "What value of x satisfies 7(x - 12) + 601 = 6x + 525?", "solution_steps": ["Expand: 7x - 84 + 601 = 6x + 525", "Combine constants: 7x + 517 = 6x + 525", "Subtract 6x from both sides: x + 517 = 525", "Subtract 517 from both sides: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 12) + 601 = 6x + 525", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 12, \"c\": 601, \"d\": 6, \"f\": 525, \"x\": 8}", "seed": "5057787480216284316", "semantic_fingerprint": "sha256:cc719338319587bd53b4266cf9ea58484dddbbcd0956419e71cc41737d70048c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002619", "prompt": "What value of x satisfies 10(x - 49) - 31 = 6(x - 4)?", "solution_steps": ["Expand: 10x - 490 - 31 = 6(x - 4)", "Expand: 10x - 490 - 31 = 6x - 24", "Combine constants: 10x - 521 = 6x - 24", "Subtract 6x from both sides: 4x - 521 = -24", "Add 521 to both sides: 4x = 497", "Divide both sides by 4: x = 497/4"], "final_answer": "497/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 49) - 31 = 6(x - 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 49, \"c\": 31, \"d\": 6, \"e\": 4}", "seed": "4563905990441595066", "semantic_fingerprint": "sha256:d0127ea899a5342f49ac83d190e1da8825106cf837fb29b7e4e8d8d88009eb08", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002620", "prompt": "Solve the equation 9(x - 16) = 11x - 178 for x.", "solution_steps": ["Expand: 9x - 144 = 11x - 178", "Subtract 11x from both sides: -2x - 144 = -178", "Add 144 to both sides: -2x = -34", "Divide both sides by -2: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 16) = 11x - 178", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 16, \"c\": 11, \"e\": -178, \"x\": 17}", "seed": "11550893132832866260", "semantic_fingerprint": "sha256:336e3b546ea3629a7f02d0176f58a16632bc5a18c73310e6ac1812614431ffb3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002621", "prompt": "What is (46 - (-1)) * 59 - (-52) * 3?", "solution_steps": ["Subtract: 46 - (-1) = 47", "Multiply: 47 * 59 = 2773", "Multiply: -52 * 3 = -156", "Subtract: 2773 - (-156) = 2929"], "final_answer": "2929", "answer_type": "integer", "kind": "expression", "math_text": "(46 - (-1)) * 59 - (-52) * 3", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -1, \"c\": 59, \"d\": -52, \"e\": 3}", "seed": "13593813447848593896", "semantic_fingerprint": "sha256:d441eb5ddae275d0b3c2644d89d55802c478d2c0033d05fd77b09b20eed817b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002622", "prompt": "Calculate: -75 + (-901 + 0 / 456 - (-60) / (-65))", "solution_steps": ["Divide: 0 / 456 = 0", "Add: -901 + 0 = -901", "Divide: -60 / (-65) = 12/13", "Subtract: -901 - 12/13 = -11725/13", "Add: -75 + (-11725/13) = -12700/13"], "final_answer": "-12700/13", "answer_type": "rational", "kind": "expression", "math_text": "-75 + (-901 + 0 / 456 - (-60) / (-65))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (+ n (/ n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -901, \"c\": 0, \"d\": 456, \"e\": -60, \"f\": -65}", "seed": "5459748877365156644", "semantic_fingerprint": "sha256:eed4aa5d867257ee688cffc6f0a2604de09020b1817c779fb1d3c852d5ca2627", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002623", "prompt": "Calculate: 32 * ((-67 + (-860) + 913) / (-66 + 87))", "solution_steps": ["Add: -67 + (-860) = -927", "Add: -927 + 913 = -14", "Add: -66 + 87 = 21", "Divide: -14 / 21 = -2/3", "Multiply: 32 * (-2/3) = -64/3"], "final_answer": "-64/3", "answer_type": "rational", "kind": "expression", "math_text": "32 * ((-67 + (-860) + 913) / (-66 + 87))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (+ (+ n n) n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -67, \"c\": -860, \"d\": 913, \"e\": -66, \"f\": 87}", "seed": "13615147499495363253", "semantic_fingerprint": "sha256:e0d667bb7c8d43dc9063d0686b221bc8dfb442f101a599285f75a95fd713852e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002624", "prompt": "What value of x satisfies 9(x - 42) - 13 = -4(x - 7) - 341?", "solution_steps": ["Expand: 9x - 378 - 13 = -4(x - 7) - 341", "Expand: 9x - 378 - 13 = -4x + 28 - 341", "Combine constants: 9x - 391 = -4x + 28 - 341", "Combine constants: 9x - 391 = -4x - 313", "Add 4x to both sides: 13x - 391 = -313", "Add 391 to both sides: 13x = 78", "Divide both sides by 13: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 42) - 13 = -4(x - 7) - 341", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 42, \"c\": 13, \"d\": -4, \"e\": 7, \"g\": -341, \"x\": 6}", "seed": "3859825123659195710", "semantic_fingerprint": "sha256:a5848f7bf3d6e18cee7597b66cae4a149197ba59e4b30eb81c69ef6a07cca9a2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002625", "prompt": "What is 1 / (-2) - (8 + (-77)) / (-4 - 719)?", "solution_steps": ["Divide: 1 / (-2) = -1/2", "Add: 8 + (-77) = -69", "Subtract: -4 - 719 = -723", "Divide: -69 / (-723) = 23/241", "Subtract: -1/2 - 23/241 = -287/482"], "final_answer": "-287/482", "answer_type": "rational", "kind": "expression", "math_text": "1 / (-2) - (8 + (-77)) / (-4 - 719)", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (/ (+ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -2, \"c\": 8, \"d\": -77, \"e\": -4, \"f\": 719}", "seed": "3832642282065116489", "semantic_fingerprint": "sha256:b52e2ce1365df3acf471d4ae79e20d70e44d18bec40becce9e755bbc22a19a4b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002626", "prompt": "Evaluate: (362 - 976 + 565) * 58", "solution_steps": ["Subtract: 362 - 976 = -614", "Add: -614 + 565 = -49", "Multiply: -49 * 58 = -2842"], "final_answer": "-2842", "answer_type": "integer", "kind": "expression", "math_text": "(362 - 976 + 565) * 58", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 362, \"b\": 976, \"c\": 565, \"d\": 58}", "seed": "2908401993784526256", "semantic_fingerprint": "sha256:49c56d86c3da2651a5287919a0701bae306c56acda11002b20ee960d0c9a10cd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002627", "prompt": "What value of x satisfies -8(x + 54) - 85 = x - 427?", "solution_steps": ["Expand: -8x - 432 - 85 = x - 427", "Combine constants: -8x - 517 = x - 427", "Subtract x from both sides: -9x - 517 = -427", "Add 517 to both sides: -9x = 90", "Divide both sides by -9: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 54) - 85 = x - 427", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 54, \"c\": 85, \"e\": -427, \"x\": -10}", "seed": "95003673632229681", "semantic_fingerprint": "sha256:cb6ddb297e9fb4c8ea3ed985522f3b3c319f1d5776ddbb3340b093a4e0df4b55", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002628", "prompt": "What is (3 - (-88)) / (-201 * (-1))?", "solution_steps": ["Subtract: 3 - (-88) = 91", "Multiply: -201 * (-1) = 201", "Divide: 91 / 201 = 91/201"], "final_answer": "91/201", "answer_type": "rational", "kind": "expression", "math_text": "(3 - (-88)) / (-201 * (-1))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -88, \"c\": -201, \"d\": -1}", "seed": "14788562270426979158", "semantic_fingerprint": "sha256:5a2a560a1c883bb12289878e7a63266c65434320e050853ed5804cc95c9666a2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002629", "prompt": "Solve the equation 10(x - 4) - 996 = 12(x - 77) - 92 for x.", "solution_steps": ["Expand: 10x - 40 - 996 = 12(x - 77) - 92", "Expand: 10x - 40 - 996 = 12x - 924 - 92", "Combine constants: 10x - 1036 = 12x - 924 - 92", "Combine constants: 10x - 1036 = 12x - 1016", "Subtract 12x from both sides: -2x - 1036 = -1016", "Add 1036 to both sides: -2x = 20", "Divide both sides by -2: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 4) - 996 = 12(x - 77) - 92", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 996, \"d\": 12, \"e\": 77, \"g\": -92, \"x\": -10}", "seed": "16338525942935761617", "semantic_fingerprint": "sha256:7319679e6a4c70c1b226136b722170ea53c91323fd5d0401124190897836de17", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002630", "prompt": "What value of x satisfies 7(x - 39) = 4x - 237?", "solution_steps": ["Expand: 7x - 273 = 4x - 237", "Subtract 4x from both sides: 3x - 273 = -237", "Add 273 to both sides: 3x = 36", "Divide both sides by 3: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 39) = 4x - 237", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 39, \"c\": 4, \"e\": -237, \"x\": 12}", "seed": "16097009688865027122", "semantic_fingerprint": "sha256:c3d35fd7fdd0877765b16c5c8941fd19fc8470b74b5a71cc88970961747390c2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002631", "prompt": "Calculate: (0 - (-2)) * (557 * (-2))", "solution_steps": ["Subtract: 0 - (-2) = 2", "Multiply: 557 * (-2) = -1114", "Multiply: 2 * (-1114) = -2228"], "final_answer": "-2228", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-2)) * (557 * (-2))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -2, \"c\": 557, \"d\": -2}", "seed": "13322035070761968539", "semantic_fingerprint": "sha256:b2680f33f86d913219f2185c0293a3c19c56c0ce019a1f031dac69cfb7c1c17d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002632", "prompt": "Solve the equation 6(x + 99) + 31 = 12(x + 61) - 161 for x.", "solution_steps": ["Expand: 6x + 594 + 31 = 12(x + 61) - 161", "Expand: 6x + 594 + 31 = 12x + 732 - 161", "Combine constants: 6x + 625 = 12x + 732 - 161", "Combine constants: 6x + 625 = 12x + 571", "Subtract 12x from both sides: -6x + 625 = 571", "Subtract 625 from both sides: -6x = -54", "Divide both sides by -6: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 99) + 31 = 12(x + 61) - 161", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 99, \"c\": 31, \"d\": 12, \"e\": 61, \"g\": -161, \"x\": 9}", "seed": "7686871892512529045", "semantic_fingerprint": "sha256:79d596da41c2e1b3575138befa265b638987ac7c84bc0ba733275ee4be9d16db", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002633", "prompt": "What value of x satisfies -2(x - 8) + 86 = 10(x + 2) - 763?", "solution_steps": ["Expand: -2x + 16 + 86 = 10(x + 2) - 763", "Expand: -2x + 16 + 86 = 10x + 20 - 763", "Combine constants: -2x + 102 = 10x + 20 - 763", "Combine constants: -2x + 102 = 10x - 743", "Subtract 10x from both sides: -12x + 102 = -743", "Subtract 102 from both sides: -12x = -845", "Divide both sides by -12: x = 845/12"], "final_answer": "845/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 8) + 86 = 10(x + 2) - 763", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 8, \"c\": 86, \"d\": 10, \"e\": 2, \"f\": 763}", "seed": "9363511562817253702", "semantic_fingerprint": "sha256:c637eb39fb972a3cea2b8444b94ea0b1f4230bb198738c47e9a4c899f4654bef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002634", "prompt": "What is 1 / 33 + 2 / (-22)?", "solution_steps": ["Divide: 1 / 33 = 1/33", "Divide: 2 / (-22) = -1/11", "Add: 1/33 + (-1/11) = -2/33"], "final_answer": "-2/33", "answer_type": "rational", "kind": "expression", "math_text": "1 / 33 + 2 / (-22)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 33, \"c\": 2, \"d\": -22}", "seed": "13895758349820104765", "semantic_fingerprint": "sha256:059457f2c766132558fc9fbb6f17270bc421624773fcd5ca212c00f9e44261ba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002635", "prompt": "What is (-86 / (-9) + 2) * (-11)?", "solution_steps": ["Divide: -86 / (-9) = 86/9", "Add: 86/9 + 2 = 104/9", "Multiply: (104/9) * (-11) = -1144/9"], "final_answer": "-1144/9", "answer_type": "rational", "kind": "expression", "math_text": "(-86 / (-9) + 2) * (-11)", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -9, \"c\": 2, \"d\": -11}", "seed": "2786463183561303404", "semantic_fingerprint": "sha256:88547358504a6718fe8d7bc406374c5f0c412c86056cd274662b17445631caeb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002636", "prompt": "Solve the equation 4(x - 25) - 90 = 3(x - 59) for x.", "solution_steps": ["Expand: 4x - 100 - 90 = 3(x - 59)", "Expand: 4x - 100 - 90 = 3x - 177", "Combine constants: 4x - 190 = 3x - 177", "Subtract 3x from both sides: x - 190 = -177", "Add 190 to both sides: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 25) - 90 = 3(x - 59)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 25, \"c\": 3, \"d\": 59, \"f\": -90, \"x\": 13}", "seed": "12451762459089832411", "semantic_fingerprint": "sha256:3e0bb3154a8bb472c6af94532c1b220d082b164a45753ead4b2e15c6ec8f93e3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002637", "prompt": "Find x: -4(x - 10) - 36 = 7(x - 7)", "solution_steps": ["Expand: -4x + 40 - 36 = 7(x - 7)", "Expand: -4x + 40 - 36 = 7x - 49", "Combine constants: -4x + 4 = 7x - 49", "Subtract 7x from both sides: -11x + 4 = -49", "Subtract 4 from both sides: -11x = -53", "Divide both sides by -11: x = 53/11"], "final_answer": "53/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 10) - 36 = 7(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 10, \"c\": 36, \"d\": 7, \"e\": 7}", "seed": "8399999557311709019", "semantic_fingerprint": "sha256:7c222b3b2fc661dee6644ddee6bbfa46a670b7fd3bcd17dbf7aef288b8941d9f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002638", "prompt": "What is 62 - (-78) - (2 - (-60)) + 9?", "solution_steps": ["Subtract: 62 - (-78) = 140", "Subtract: 2 - (-60) = 62", "Subtract: 140 - 62 = 78", "Add: 78 + 9 = 87"], "final_answer": "87", "answer_type": "integer", "kind": "expression", "math_text": "62 - (-78) - (2 - (-60)) + 9", "variable": null, "family": "expression_4op", "shape": "(+ (- (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -78, \"c\": 2, \"d\": -60, \"e\": 9}", "seed": "2391685348305517828", "semantic_fingerprint": "sha256:9e02987573b4c23c0503fdf410e8a594ef00b992dd3b96e45298eedccd75a371", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002639", "prompt": "Evaluate: -96 / (-203 / (9 * (-7)))", "solution_steps": ["Multiply: 9 * (-7) = -63", "Divide: -203 / (-63) = 29/9", "Divide: -96 / (29/9) = -864/29"], "final_answer": "-864/29", "answer_type": "rational", "kind": "expression", "math_text": "-96 / (-203 / (9 * (-7)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": -203, \"c\": 9, \"d\": -7}", "seed": "2283892763701194551", "semantic_fingerprint": "sha256:a8f3f74dbf84557e6329806d31ed1daa78f9a11b1837e1b35061e416ecd85b31", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002640", "prompt": "Calculate: (-582 - (-70)) * 0 * 7", "solution_steps": ["Subtract: -582 - (-70) = -512", "Multiply: -512 * 0 = 0", "Multiply: 0 * 7 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-582 - (-70)) * 0 * 7", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -582, \"b\": -70, \"c\": 0, \"d\": 7}", "seed": "2723055972819429309", "semantic_fingerprint": "sha256:f4ed457750c99665b38fc8364ed094f640ab98206d08e525c000bbdf40ad719c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002641", "prompt": "Compute: (19 - 1) * (-89 * 424)", "solution_steps": ["Subtract: 19 - 1 = 18", "Multiply: -89 * 424 = -37736", "Multiply: 18 * (-37736) = -679248"], "final_answer": "-679248", "answer_type": "integer", "kind": "expression", "math_text": "(19 - 1) * (-89 * 424)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": 1, \"c\": -89, \"d\": 424}", "seed": "1589642302145231919", "semantic_fingerprint": "sha256:7f331fcc1180cf345ba9702f42a5f0d07bcc8546ee1eda83fd3d39570774f19e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002642", "prompt": "Calculate: -44 * 540 * (10 - 8) + 7", "solution_steps": ["Multiply: -44 * 540 = -23760", "Subtract: 10 - 8 = 2", "Multiply: -23760 * 2 = -47520", "Add: -47520 + 7 = -47513"], "final_answer": "-47513", "answer_type": "integer", "kind": "expression", "math_text": "-44 * 540 * (10 - 8) + 7", "variable": null, "family": "expression_4op", "shape": "(+ (* (* n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": 540, \"c\": 10, \"d\": 8, \"e\": 7}", "seed": "16091857671358715142", "semantic_fingerprint": "sha256:422847a172eb484ccd71086b0edc35092ca63f9add023a4e6c96c4c34b1f13fb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002643", "prompt": "Find x: -3(x - 8) + 48 = 9x + 60", "solution_steps": ["Expand: -3x + 24 + 48 = 9x + 60", "Combine constants: -3x + 72 = 9x + 60", "Subtract 9x from both sides: -12x + 72 = 60", "Subtract 72 from both sides: -12x = -12", "Divide both sides by -12: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 8) + 48 = 9x + 60", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 8, \"c\": 48, \"d\": 9, \"f\": 60, \"x\": 1}", "seed": "5647394682481236500", "semantic_fingerprint": "sha256:4e176a5991637c17652a843ad171aff3aef9d0988bb217ab03f6a7242d4becfe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002644", "prompt": "What is 3 / 9 + 5 / (-561)?", "solution_steps": ["Divide: 3 / 9 = 1/3", "Divide: 5 / (-561) = -5/561", "Add: 1/3 + (-5/561) = 182/561"], "final_answer": "182/561", "answer_type": "rational", "kind": "expression", "math_text": "3 / 9 + 5 / (-561)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 5, \"d\": -561}", "seed": "4839207137209498126", "semantic_fingerprint": "sha256:a11a0e0452043c09f8a2c364d66fbef41788658e4e5e95c1b7b60fcbb1fdf271", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002645", "prompt": "Calculate: -8 + 88 / (19 - (-246))", "solution_steps": ["Subtract: 19 - (-246) = 265", "Divide: 88 / 265 = 88/265", "Add: -8 + 88/265 = -2032/265"], "final_answer": "-2032/265", "answer_type": "rational", "kind": "expression", "math_text": "-8 + 88 / (19 - (-246))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 88, \"c\": 19, \"d\": -246}", "seed": "16418896994491268456", "semantic_fingerprint": "sha256:7bc9286750e7eafe25dc202a28fdc521712d116127744417a2cc65d63335396d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002646", "prompt": "Solve the equation 11(x - 64) - 45 = 7(x - 46) - 411 for x.", "solution_steps": ["Expand: 11x - 704 - 45 = 7(x - 46) - 411", "Expand: 11x - 704 - 45 = 7x - 322 - 411", "Combine constants: 11x - 749 = 7x - 322 - 411", "Combine constants: 11x - 749 = 7x - 733", "Subtract 7x from both sides: 4x - 749 = -733", "Add 749 to both sides: 4x = 16", "Divide both sides by 4: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 64) - 45 = 7(x - 46) - 411", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 64, \"c\": 45, \"d\": 7, \"e\": 46, \"g\": -411, \"x\": 4}", "seed": "5558191893636194403", "semantic_fingerprint": "sha256:0254cdefd65bdb466eb78ea68bdcb13614e6851884ca10e0fa8f527ff1e4ac71", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002647", "prompt": "What is -5 / ((-3 - 57) / (-79 - (-26)))?", "solution_steps": ["Subtract: -3 - 57 = -60", "Subtract: -79 - (-26) = -53", "Divide: -60 / (-53) = 60/53", "Divide: -5 / (60/53) = -53/12"], "final_answer": "-53/12", "answer_type": "rational", "kind": "expression", "math_text": "-5 / ((-3 - 57) / (-79 - (-26)))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (- n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -3, \"c\": 57, \"d\": -79, \"e\": -26}", "seed": "16040684800174590256", "semantic_fingerprint": "sha256:06e888d82cf5afa0cbf3fe98d0c8f60fa72822b931c5a4af7c993af9a7d9bf70", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002648", "prompt": "Find x: -7(x - 130) + 25 = 12(x + 88) - 83", "solution_steps": ["Expand: -7x + 910 + 25 = 12(x + 88) - 83", "Expand: -7x + 910 + 25 = 12x + 1056 - 83", "Combine constants: -7x + 935 = 12x + 1056 - 83", "Combine constants: -7x + 935 = 12x + 973", "Subtract 12x from both sides: -19x + 935 = 973", "Subtract 935 from both sides: -19x = 38", "Divide both sides by -19: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 130) + 25 = 12(x + 88) - 83", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 130, \"c\": 25, \"d\": 12, \"e\": 88, \"g\": -83, \"x\": -2}", "seed": "3386370883934374218", "semantic_fingerprint": "sha256:0805c5e6a7087344558dd6b82260510c00bfbb1e34e37380346ed9127e3f6736", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002649", "prompt": "What is -54 - (215 + 4) + 25?", "solution_steps": ["Add: 215 + 4 = 219", "Subtract: -54 - 219 = -273", "Add: -273 + 25 = -248"], "final_answer": "-248", "answer_type": "integer", "kind": "expression", "math_text": "-54 - (215 + 4) + 25", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": 215, \"c\": 4, \"d\": 25}", "seed": "12861977931441978787", "semantic_fingerprint": "sha256:6dbd8256395170c816de5a0cc1abddc29b153e4b940f2548a56607228ea62d32", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002650", "prompt": "Calculate: 52 / (9 * 608) + (520 + 0)", "solution_steps": ["Multiply: 9 * 608 = 5472", "Divide: 52 / 5472 = 13/1368", "Add: 520 + 0 = 520", "Add: 13/1368 + 520 = 711373/1368"], "final_answer": "711373/1368", "answer_type": "rational", "kind": "expression", "math_text": "52 / (9 * 608) + (520 + 0)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": 9, \"c\": 608, \"d\": 520, \"e\": 0}", "seed": "17873596052214087624", "semantic_fingerprint": "sha256:cffd22873a5101900fdf392f9ff3fb65caefc9d78d8bfa1e3ced3037d0a5520d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002651", "prompt": "Compute: 97 * 116 / (-6 + 67)", "solution_steps": ["Multiply: 97 * 116 = 11252", "Add: -6 + 67 = 61", "Divide: 11252 / 61 = 11252/61"], "final_answer": "11252/61", "answer_type": "rational", "kind": "expression", "math_text": "97 * 116 / (-6 + 67)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": 116, \"c\": -6, \"d\": 67}", "seed": "9277467103025272816", "semantic_fingerprint": "sha256:886539abb2294c7bae01a3108786619615c8fb72cea5c11dfe145967145033c6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002652", "prompt": "Compute: (34 + 37) / (-37 / 81)", "solution_steps": ["Add: 34 + 37 = 71", "Divide: -37 / 81 = -37/81", "Divide: 71 / (-37/81) = -5751/37"], "final_answer": "-5751/37", "answer_type": "rational", "kind": "expression", "math_text": "(34 + 37) / (-37 / 81)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": 37, \"c\": -37, \"d\": 81}", "seed": "14876680331355390529", "semantic_fingerprint": "sha256:504b2dfc824ac72483ed66cd28c6e3dbbd07480bb866b001a19b9f9fc6346b1b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002653", "prompt": "Calculate: (89 * (-1 - 4) - (98 + (-21))) * 46", "solution_steps": ["Subtract: -1 - 4 = -5", "Multiply: 89 * (-5) = -445", "Add: 98 + (-21) = 77", "Subtract: -445 - 77 = -522", "Multiply: -522 * 46 = -24012"], "final_answer": "-24012", "answer_type": "integer", "kind": "expression", "math_text": "(89 * (-1 - 4) - (98 + (-21))) * 46", "variable": null, "family": "expression_5op", "shape": "(* (- (* n (- n n)) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": -1, \"c\": 4, \"d\": 98, \"e\": -21, \"f\": 46}", "seed": "17835519731501068592", "semantic_fingerprint": "sha256:8427a8410a3ba870f4685eb164a24a644e1062ee1fed032103afc276b0307940", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002654", "prompt": "Find x: 6(x - 3) - 762 = 10(x - 82)", "solution_steps": ["Expand: 6x - 18 - 762 = 10(x - 82)", "Expand: 6x - 18 - 762 = 10x - 820", "Combine constants: 6x - 780 = 10x - 820", "Subtract 10x from both sides: -4x - 780 = -820", "Add 780 to both sides: -4x = -40", "Divide both sides by -4: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 3) - 762 = 10(x - 82)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 10, \"d\": 82, \"f\": -762, \"x\": 10}", "seed": "9946300323567316722", "semantic_fingerprint": "sha256:658c0675de5ca7c60f889231f48289014cb37cfbff0097c2382b5a542662c15f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002655", "prompt": "What value of x satisfies -4x - 4 = 12(x + 8) + 12?", "solution_steps": ["Expand: -4x - 4 = 12x + 96 + 12", "Combine constants: -4x - 4 = 12x + 108", "Subtract 12x from both sides: -16x - 4 = 108", "Add 4 to both sides: -16x = 112", "Divide both sides by -16: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x - 4 = 12(x + 8) + 12", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 4, \"c\": 12, \"d\": 8, \"f\": 12, \"x\": -7}", "seed": "17527425086589777793", "semantic_fingerprint": "sha256:afb3009abf9472986c83ad704ccc5e551c7003411a9cccf0a28bbcde74cdb8de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002656", "prompt": "Calculate: (-4 - 42) / (589 * 4)", "solution_steps": ["Subtract: -4 - 42 = -46", "Multiply: 589 * 4 = 2356", "Divide: -46 / 2356 = -23/1178"], "final_answer": "-23/1178", "answer_type": "rational", "kind": "expression", "math_text": "(-4 - 42) / (589 * 4)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 42, \"c\": 589, \"d\": 4}", "seed": "3297800472660395467", "semantic_fingerprint": "sha256:257d344d1a7cd4b90e21a301a1c01b791c0c022f10c180a5f3e2c359bc5921c4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002657", "prompt": "Solve for x: -12(x - 2) - 391 = 4(x - 9) - 68", "solution_steps": ["Expand: -12x + 24 - 391 = 4(x - 9) - 68", "Expand: -12x + 24 - 391 = 4x - 36 - 68", "Combine constants: -12x - 367 = 4x - 36 - 68", "Combine constants: -12x - 367 = 4x - 104", "Subtract 4x from both sides: -16x - 367 = -104", "Add 367 to both sides: -16x = 263", "Divide both sides by -16: x = -263/16"], "final_answer": "-263/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 2) - 391 = 4(x - 9) - 68", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 2, \"c\": 391, \"d\": 4, \"e\": 9, \"f\": 68}", "seed": "17345940811747458804", "semantic_fingerprint": "sha256:10e9d160c1b7eebf56110daaef8d7655d9fb61cfa55235668ac5a187e593a569", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002658", "prompt": "Find x: -8(x + 2) - 8 = x - 495", "solution_steps": ["Expand: -8x - 16 - 8 = x - 495", "Combine constants: -8x - 24 = x - 495", "Subtract x from both sides: -9x - 24 = -495", "Add 24 to both sides: -9x = -471", "Divide both sides by -9: x = 157/3"], "final_answer": "157/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 2) - 8 = x - 495", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 2, \"c\": 8, \"d\": 495}", "seed": "12335851169144404857", "semantic_fingerprint": "sha256:ced082435b3517b382586719b8da3e8b1e4460720c613f75b6759102f6d9135b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002659", "prompt": "Solve the equation 8(x - 49) - 452 = 9(x - 96) for x.", "solution_steps": ["Expand: 8x - 392 - 452 = 9(x - 96)", "Expand: 8x - 392 - 452 = 9x - 864", "Combine constants: 8x - 844 = 9x - 864", "Subtract 9x from both sides: -x - 844 = -864", "Add 844 to both sides: -x = -20", "Divide both sides by -1: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 49) - 452 = 9(x - 96)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 49, \"c\": 9, \"d\": 96, \"f\": -452, \"x\": 20}", "seed": "2698726068026562872", "semantic_fingerprint": "sha256:28a74cf220be1afb9baa9549a0122f760b1d6a99a1b12f8e3bc8f968ca13bc2f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002660", "prompt": "Compute: 9 * (81 - (2 - (-1 - 6)))", "solution_steps": ["Subtract: -1 - 6 = -7", "Subtract: 2 - (-7) = 9", "Subtract: 81 - 9 = 72", "Multiply: 9 * 72 = 648"], "final_answer": "648", "answer_type": "integer", "kind": "expression", "math_text": "9 * (81 - (2 - (-1 - 6)))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (- n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 81, \"c\": 2, \"d\": -1, \"e\": 6}", "seed": "11414141348497519221", "semantic_fingerprint": "sha256:ddb1738554c9993ca527f82b53071e2e97ff456c9524d7ce80728204aee7d0dc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002661", "prompt": "Evaluate: -43 * 45 + (-93) * (-8) / (-43)", "solution_steps": ["Multiply: -43 * 45 = -1935", "Multiply: -93 * (-8) = 744", "Divide: 744 / (-43) = -744/43", "Add: -1935 + (-744/43) = -83949/43"], "final_answer": "-83949/43", "answer_type": "rational", "kind": "expression", "math_text": "-43 * 45 + (-93) * (-8) / (-43)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 45, \"c\": -93, \"d\": -8, \"e\": -43}", "seed": "6012762664660969673", "semantic_fingerprint": "sha256:9bfc92bab08e320dcabacdcf1ab688320033a250d59f4622e9e1c7bce764b94f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002662", "prompt": "Solve for x: -2(x - 31) - 32 = 8(x - 28)", "solution_steps": ["Expand: -2x + 62 - 32 = 8(x - 28)", "Expand: -2x + 62 - 32 = 8x - 224", "Combine constants: -2x + 30 = 8x - 224", "Subtract 8x from both sides: -10x + 30 = -224", "Subtract 30 from both sides: -10x = -254", "Divide both sides by -10: x = 127/5"], "final_answer": "127/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 31) - 32 = 8(x - 28)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 31, \"c\": 32, \"d\": 8, \"e\": 28}", "seed": "2962580137617735497", "semantic_fingerprint": "sha256:3b6b5578408758234f3653763169a3124a844e00316976e3d1b08791bd131515", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002663", "prompt": "Solve for x: -3(x - 39) + 833 = 3(x + 835) - 78", "solution_steps": ["Expand: -3x + 117 + 833 = 3(x + 835) - 78", "Expand: -3x + 117 + 833 = 3x + 2505 - 78", "Combine constants: -3x + 950 = 3x + 2505 - 78", "Combine constants: -3x + 950 = 3x + 2427", "Subtract 3x from both sides: -6x + 950 = 2427", "Subtract 950 from both sides: -6x = 1477", "Divide both sides by -6: x = -1477/6"], "final_answer": "-1477/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 39) + 833 = 3(x + 835) - 78", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 39, \"c\": 833, \"d\": 3, \"e\": 835, \"f\": 78}", "seed": "11021066864936668654", "semantic_fingerprint": "sha256:261b1eed0480b01da8ac7fe678f547b1c08454103af4f7fb07cc6c5c855cbb19", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002664", "prompt": "Find x: -7x - 74 = 5(x + 10) + 95", "solution_steps": ["Expand: -7x - 74 = 5x + 50 + 95", "Combine constants: -7x - 74 = 5x + 145", "Subtract 5x from both sides: -12x - 74 = 145", "Add 74 to both sides: -12x = 219", "Divide both sides by -12: x = -73/4"], "final_answer": "-73/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7x - 74 = 5(x + 10) + 95", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 74, \"c\": 5, \"d\": 10, \"e\": 95}", "seed": "624382123559133920", "semantic_fingerprint": "sha256:770ef767730d01199a21db4ec8bbcf70975acdf88bbf2e1b637cb8aab9437673", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002665", "prompt": "Compute: 0 / 1 + (407 - 18 - (-30))", "solution_steps": ["Divide: 0 / 1 = 0", "Subtract: 407 - 18 = 389", "Subtract: 389 - (-30) = 419", "Add: 0 + 419 = 419"], "final_answer": "419", "answer_type": "integer", "kind": "expression", "math_text": "0 / 1 + (407 - 18 - (-30))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 1, \"c\": 407, \"d\": 18, \"e\": -30}", "seed": "1575014970726312761", "semantic_fingerprint": "sha256:0c7a11e2fc2d843936df8fa030c59140b0d0956b69a35d5786fcf3a5903b9eb8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002666", "prompt": "What is -54 / (-3) + (-373) / (-40)?", "solution_steps": ["Divide: -54 / (-3) = 18", "Divide: -373 / (-40) = 373/40", "Add: 18 + 373/40 = 1093/40"], "final_answer": "1093/40", "answer_type": "rational", "kind": "expression", "math_text": "-54 / (-3) + (-373) / (-40)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": -3, \"c\": -373, \"d\": -40}", "seed": "5447077907103869244", "semantic_fingerprint": "sha256:b7c998efa58f65df830b2cb1316903bd8173659cce4f2937db8cb6c7606551c7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002667", "prompt": "What value of x satisfies 4(x - 67) - 32 = -10(x - 6) - 56?", "solution_steps": ["Expand: 4x - 268 - 32 = -10(x - 6) - 56", "Expand: 4x - 268 - 32 = -10x + 60 - 56", "Combine constants: 4x - 300 = -10x + 60 - 56", "Combine constants: 4x - 300 = -10x + 4", "Add 10x to both sides: 14x - 300 = 4", "Add 300 to both sides: 14x = 304", "Divide both sides by 14: x = 152/7"], "final_answer": "152/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 67) - 32 = -10(x - 6) - 56", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 67, \"c\": 32, \"d\": -10, \"e\": 6, \"f\": 56}", "seed": "1183554303143767706", "semantic_fingerprint": "sha256:5c0edd0d60888117ccaee8b3841fe3de5db882db7ced8326f47fe52a4b725bdb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002668", "prompt": "What is -4 / (-30 * 8 / 82)?", "solution_steps": ["Multiply: -30 * 8 = -240", "Divide: -240 / 82 = -120/41", "Divide: -4 / (-120/41) = 41/30"], "final_answer": "41/30", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-30 * 8 / 82)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -30, \"c\": 8, \"d\": 82}", "seed": "10764142492075896664", "semantic_fingerprint": "sha256:54225252b9c28a7d41457aac09f65a52fa2baf32394664b0d1831ac2361222cc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002669", "prompt": "Find x: x - 1 = 3(x - 226) + 677", "solution_steps": ["Expand: x - 1 = 3x - 678 + 677", "Combine constants: x - 1 = 3x - 1", "Subtract 3x from both sides: -2x - 1 = -1", "Add 1 to both sides: -2x = 0", "Divide both sides by -2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1 = 3(x - 226) + 677", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 3, \"c\": 226, \"e\": 677, \"x\": 0}", "seed": "2656740654151436083", "semantic_fingerprint": "sha256:99d4c68b2bf1963a8afefd403afdb19e8cbbed32b0b7403c092a9d7ae95c0497", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002670", "prompt": "Solve for x: -8(x + 4) - 534 = x - 422", "solution_steps": ["Expand: -8x - 32 - 534 = x - 422", "Combine constants: -8x - 566 = x - 422", "Subtract x from both sides: -9x - 566 = -422", "Add 566 to both sides: -9x = 144", "Divide both sides by -9: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 4) - 534 = x - 422", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 4, \"c\": 534, \"e\": -422, \"x\": -16}", "seed": "17170482343476327896", "semantic_fingerprint": "sha256:75991266b55b44ebd8f0a37fdede00a8cb33a000e4e5ac2ff3e5d6fffc78dfeb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002671", "prompt": "Solve the equation 8(x + 61) + 9 = -2(x + 438) - 949 for x.", "solution_steps": ["Expand: 8x + 488 + 9 = -2(x + 438) - 949", "Expand: 8x + 488 + 9 = -2x - 876 - 949", "Combine constants: 8x + 497 = -2x - 876 - 949", "Combine constants: 8x + 497 = -2x - 1825", "Add 2x to both sides: 10x + 497 = -1825", "Subtract 497 from both sides: 10x = -2322", "Divide both sides by 10: x = -1161/5"], "final_answer": "-1161/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 61) + 9 = -2(x + 438) - 949", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 61, \"c\": 9, \"d\": -2, \"e\": 438, \"f\": 949}", "seed": "9351046677400749695", "semantic_fingerprint": "sha256:e8a18ecd78e54dd783dbcfa96dad7eb530369e33243efab254b0b563262949c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002672", "prompt": "What value of x satisfies 6(x - 478) + 7 = 7x + 4?", "solution_steps": ["Expand: 6x - 2868 + 7 = 7x + 4", "Combine constants: 6x - 2861 = 7x + 4", "Subtract 7x from both sides: -x - 2861 = 4", "Add 2861 to both sides: -x = 2865", "Divide both sides by -1: x = -2865"], "final_answer": "-2865", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 478) + 7 = 7x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 478, \"c\": 7, \"d\": 7, \"e\": 4}", "seed": "13491724398920966078", "semantic_fingerprint": "sha256:0c73f7bf8dfa46e0f4afd9bac1d33c9f1360aa8db2cca4fa194aecd474afaeec", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002673", "prompt": "Solve for x: x - 71 = -12(x - 19) + 7", "solution_steps": ["Expand: x - 71 = -12x + 228 + 7", "Combine constants: x - 71 = -12x + 235", "Add 12x to both sides: 13x - 71 = 235", "Add 71 to both sides: 13x = 306", "Divide both sides by 13: x = 306/13"], "final_answer": "306/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 71 = -12(x - 19) + 7", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": -12, \"c\": 19, \"d\": 7}", "seed": "10761364187658928960", "semantic_fingerprint": "sha256:a5d3759b44430c55e238866f462df5148800c6f6971153a702f7fd40fe976335", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002674", "prompt": "Find x: 9(x - 3) + 82 = 4(x + 236) - 899", "solution_steps": ["Expand: 9x - 27 + 82 = 4(x + 236) - 899", "Expand: 9x - 27 + 82 = 4x + 944 - 899", "Combine constants: 9x + 55 = 4x + 944 - 899", "Combine constants: 9x + 55 = 4x + 45", "Subtract 4x from both sides: 5x + 55 = 45", "Subtract 55 from both sides: 5x = -10", "Divide both sides by 5: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 3) + 82 = 4(x + 236) - 899", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 82, \"d\": 4, \"e\": 236, \"g\": -899, \"x\": -2}", "seed": "12627298655882156906", "semantic_fingerprint": "sha256:38db7c5971cd94f2bd481e9e3d34588299124cc840740fe032b2be2b944b3921", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002675", "prompt": "Compute: (83 + 17) / (70 / 767)", "solution_steps": ["Add: 83 + 17 = 100", "Divide: 70 / 767 = 70/767", "Divide: 100 / (70/767) = 7670/7"], "final_answer": "7670/7", "answer_type": "rational", "kind": "expression", "math_text": "(83 + 17) / (70 / 767)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 17, \"c\": 70, \"d\": 767}", "seed": "7511453737185126932", "semantic_fingerprint": "sha256:fe0835e88c312da9a4605d97c8cd55213ef5e9beb5c573315186aff8f0d987ed", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002676", "prompt": "Evaluate: -4 * (3 * 65) - (-123)", "solution_steps": ["Multiply: 3 * 65 = 195", "Multiply: -4 * 195 = -780", "Subtract: -780 - (-123) = -657"], "final_answer": "-657", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (3 * 65) - (-123)", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": 65, \"d\": -123}", "seed": "491582495900631829", "semantic_fingerprint": "sha256:7e24e445ca7fb364e921709e54f6a24952abbb1f4b80acba3cf95c2c4ab7634e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002677", "prompt": "What is -8 - (535 + 8) - (-55) - (-85 + 29)?", "solution_steps": ["Add: 535 + 8 = 543", "Subtract: -8 - 543 = -551", "Subtract: -551 - (-55) = -496", "Add: -85 + 29 = -56", "Subtract: -496 - (-56) = -440"], "final_answer": "-440", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (535 + 8) - (-55) - (-85 + 29)", "variable": null, "family": "expression_5op", "shape": "(- (- (- n (+ n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 535, \"c\": 8, \"d\": -55, \"e\": -85, \"f\": 29}", "seed": "13065027968986643625", "semantic_fingerprint": "sha256:66feaed8c55a1578bad4a18240acd4bf249c9614627413675ba5f0f427256ff8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002678", "prompt": "Solve the equation 7(x - 3) = 9x - 17 for x.", "solution_steps": ["Expand: 7x - 21 = 9x - 17", "Subtract 9x from both sides: -2x - 21 = -17", "Add 21 to both sides: -2x = 4", "Divide both sides by -2: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 3) = 9x - 17", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"c\": 9, \"e\": -17, \"x\": -2}", "seed": "17477509258192812879", "semantic_fingerprint": "sha256:93a60ac7d167481495c7eaf35e5ae2520d739d45504e503c43dbf7a37692db58", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002679", "prompt": "Solve for x: 11(x - 96) + 545 = -7(x + 88) - 111", "solution_steps": ["Expand: 11x - 1056 + 545 = -7(x + 88) - 111", "Expand: 11x - 1056 + 545 = -7x - 616 - 111", "Combine constants: 11x - 511 = -7x - 616 - 111", "Combine constants: 11x - 511 = -7x - 727", "Add 7x to both sides: 18x - 511 = -727", "Add 511 to both sides: 18x = -216", "Divide both sides by 18: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 96) + 545 = -7(x + 88) - 111", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 96, \"c\": 545, \"d\": -7, \"e\": 88, \"g\": -111, \"x\": -12}", "seed": "13107602945965028274", "semantic_fingerprint": "sha256:e1955e333cb931ca7b1b360f3ed04ed5c533298a2d50ae7c0fff9411ddb2d065", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002680", "prompt": "Compute: 15 * (-7) / 40 / 404", "solution_steps": ["Multiply: 15 * (-7) = -105", "Divide: -105 / 40 = -21/8", "Divide: (-21/8) / 404 = -21/3232"], "final_answer": "-21/3232", "answer_type": "rational", "kind": "expression", "math_text": "15 * (-7) / 40 / 404", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": -7, \"c\": 40, \"d\": 404}", "seed": "18032152568324394975", "semantic_fingerprint": "sha256:944a4c7c04ba50e3c3e7135a56f15ef5c067dadeb78e324334197d5958fc320b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002681", "prompt": "What value of x satisfies 7(x - 77) + 652 = -3(x - 1)?", "solution_steps": ["Expand: 7x - 539 + 652 = -3(x - 1)", "Expand: 7x - 539 + 652 = -3x + 3", "Combine constants: 7x + 113 = -3x + 3", "Add 3x to both sides: 10x + 113 = 3", "Subtract 113 from both sides: 10x = -110", "Divide both sides by 10: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 77) + 652 = -3(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 77, \"c\": -3, \"d\": 1, \"f\": 652, \"x\": -11}", "seed": "644308885272607538", "semantic_fingerprint": "sha256:80662e2f941afb40caff403bc68ee1f7e62287bd05f6ff55e856c9c366fd8899", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002682", "prompt": "Find x: -12(x - 22) + 762 = 9x + 418", "solution_steps": ["Expand: -12x + 264 + 762 = 9x + 418", "Combine constants: -12x + 1026 = 9x + 418", "Subtract 9x from both sides: -21x + 1026 = 418", "Subtract 1026 from both sides: -21x = -608", "Divide both sides by -21: x = 608/21"], "final_answer": "608/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 22) + 762 = 9x + 418", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 22, \"c\": 762, \"d\": 9, \"e\": 418}", "seed": "3546163288500232237", "semantic_fingerprint": "sha256:470c57e339200556e1751a2e6845d559941398da90d9806ad8b414b3d49f15d2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002683", "prompt": "What is 644 + (6 * 89 - 28)?", "solution_steps": ["Multiply: 6 * 89 = 534", "Subtract: 534 - 28 = 506", "Add: 644 + 506 = 1150"], "final_answer": "1150", "answer_type": "integer", "kind": "expression", "math_text": "644 + (6 * 89 - 28)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 644, \"b\": 6, \"c\": 89, \"d\": 28}", "seed": "6639149097467132782", "semantic_fingerprint": "sha256:eb34ec2f55bdd5d1e46c3f1dc866ea134215a76e8af556256eb930f641a9f66f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002684", "prompt": "What is -25 * (-11 - (-12) * (-239) / 1)?", "solution_steps": ["Multiply: -12 * (-239) = 2868", "Divide: 2868 / 1 = 2868", "Subtract: -11 - 2868 = -2879", "Multiply: -25 * (-2879) = 71975"], "final_answer": "71975", "answer_type": "integer", "kind": "expression", "math_text": "-25 * (-11 - (-12) * (-239) / 1)", "variable": null, "family": "expression_4op", "shape": "(* n (- n (/ (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -11, \"c\": -12, \"d\": -239, \"e\": 1}", "seed": "3070339978112219645", "semantic_fingerprint": "sha256:6c716a55e0c08b7a79dc246e4a1e75f6511af3cb43787b6c93fa68550f93324f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002685", "prompt": "Solve the equation 2(x - 73) + 165 = -3(x - 8) for x.", "solution_steps": ["Expand: 2x - 146 + 165 = -3(x - 8)", "Expand: 2x - 146 + 165 = -3x + 24", "Combine constants: 2x + 19 = -3x + 24", "Add 3x to both sides: 5x + 19 = 24", "Subtract 19 from both sides: 5x = 5", "Divide both sides by 5: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 73) + 165 = -3(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 73, \"c\": -3, \"d\": 8, \"f\": 165, \"x\": 1}", "seed": "12189028243970808347", "semantic_fingerprint": "sha256:c013d9321e6c28afa94bfb4019882fad06664fce4dff56763cc8d6bea3031679", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002686", "prompt": "Evaluate: -29 * (-108 * (-4)) - 0", "solution_steps": ["Multiply: -108 * (-4) = 432", "Multiply: -29 * 432 = -12528", "Subtract: -12528 - 0 = -12528"], "final_answer": "-12528", "answer_type": "integer", "kind": "expression", "math_text": "-29 * (-108 * (-4)) - 0", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": -108, \"c\": -4, \"d\": 0}", "seed": "11577046976705553581", "semantic_fingerprint": "sha256:874f5c5bdd389636478e1208cfe571d84da885350b07ec74abc57368a642ee0a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002687", "prompt": "Calculate: -88 / (-4) + (-33 - (-88) * (-32) - (-12))", "solution_steps": ["Divide: -88 / (-4) = 22", "Multiply: -88 * (-32) = 2816", "Subtract: -33 - 2816 = -2849", "Subtract: -2849 - (-12) = -2837", "Add: 22 + (-2837) = -2815"], "final_answer": "-2815", "answer_type": "integer", "kind": "expression", "math_text": "-88 / (-4) + (-33 - (-88) * (-32) - (-12))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (- (- n (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": -4, \"c\": -33, \"d\": -88, \"e\": -32, \"f\": -12}", "seed": "16972832191793327038", "semantic_fingerprint": "sha256:baf0af3d85c702495f0e0b994cb074c348cd59c78fba5aaca7cfe1a837366ac0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002688", "prompt": "Solve for x: 11(x - 65) + 68 = 8(x + 4) - 670", "solution_steps": ["Expand: 11x - 715 + 68 = 8(x + 4) - 670", "Expand: 11x - 715 + 68 = 8x + 32 - 670", "Combine constants: 11x - 647 = 8x + 32 - 670", "Combine constants: 11x - 647 = 8x - 638", "Subtract 8x from both sides: 3x - 647 = -638", "Add 647 to both sides: 3x = 9", "Divide both sides by 3: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 65) + 68 = 8(x + 4) - 670", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 65, \"c\": 68, \"d\": 8, \"e\": 4, \"g\": -670, \"x\": 3}", "seed": "7585183147201331452", "semantic_fingerprint": "sha256:f522b76cd65d2cc7f03020021cda6ef671397d2c585a6deb79ee2fa86ab504bb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002689", "prompt": "Find x: 9(x - 24) + 198 = 11(x - 2)", "solution_steps": ["Expand: 9x - 216 + 198 = 11(x - 2)", "Expand: 9x - 216 + 198 = 11x - 22", "Combine constants: 9x - 18 = 11x - 22", "Subtract 11x from both sides: -2x - 18 = -22", "Add 18 to both sides: -2x = -4", "Divide both sides by -2: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 24) + 198 = 11(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 24, \"c\": 11, \"d\": 2, \"f\": 198, \"x\": 2}", "seed": "11450265869633651975", "semantic_fingerprint": "sha256:580e1bc5242c9636e4f91dd626def15784b1ef0e2f2d36ec92293e51821a8456", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002690", "prompt": "Solve the equation -7(x - 10) + 8 = 11x + 438 for x.", "solution_steps": ["Expand: -7x + 70 + 8 = 11x + 438", "Combine constants: -7x + 78 = 11x + 438", "Subtract 11x from both sides: -18x + 78 = 438", "Subtract 78 from both sides: -18x = 360", "Divide both sides by -18: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 10) + 8 = 11x + 438", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 10, \"c\": 8, \"d\": 11, \"f\": 438, \"x\": -20}", "seed": "14588474229515537013", "semantic_fingerprint": "sha256:e29c8658755ab46db755842871c3b6a2f8fbff1c2057eafaedfb5330788c7d0c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002691", "prompt": "Solve for x: 6(x - 51) + 895 = 10(x - 19)", "solution_steps": ["Expand: 6x - 306 + 895 = 10(x - 19)", "Expand: 6x - 306 + 895 = 10x - 190", "Combine constants: 6x + 589 = 10x - 190", "Subtract 10x from both sides: -4x + 589 = -190", "Subtract 589 from both sides: -4x = -779", "Divide both sides by -4: x = 779/4"], "final_answer": "779/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 51) + 895 = 10(x - 19)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 51, \"c\": 895, \"d\": 10, \"e\": 19}", "seed": "16551123688611093162", "semantic_fingerprint": "sha256:d0b1c37fb1b3241b7c2533379ea366648d8e00417d05fa544723226fa41835d7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002692", "prompt": "Solve for x: 5(x - 8) - 27 = 6(x - 474) - 2", "solution_steps": ["Expand: 5x - 40 - 27 = 6(x - 474) - 2", "Expand: 5x - 40 - 27 = 6x - 2844 - 2", "Combine constants: 5x - 67 = 6x - 2844 - 2", "Combine constants: 5x - 67 = 6x - 2846", "Subtract 6x from both sides: -x - 67 = -2846", "Add 67 to both sides: -x = -2779", "Divide both sides by -1: x = 2779"], "final_answer": "2779", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 8) - 27 = 6(x - 474) - 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 27, \"d\": 6, \"e\": 474, \"f\": 2}", "seed": "13132957250486685744", "semantic_fingerprint": "sha256:d41e49599f5585b77998af6021c2f6b005bedc7436942990fcce695afbde7e40", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002693", "prompt": "Compute: 450 / (-8) - 1 - (-484)", "solution_steps": ["Divide: 450 / (-8) = -225/4", "Subtract: -225/4 - 1 = -229/4", "Subtract: -229/4 - (-484) = 1707/4"], "final_answer": "1707/4", "answer_type": "rational", "kind": "expression", "math_text": "450 / (-8) - 1 - (-484)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 450, \"b\": -8, \"c\": 1, \"d\": -484}", "seed": "13457623197083398957", "semantic_fingerprint": "sha256:abd21ec8fe26c6867d17f733d00f3a435c370366e6729e4d831487aa3ddb9dd7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002694", "prompt": "Find x: 2(x - 47) - 1 = 6(x - 2) - 164", "solution_steps": ["Expand: 2x - 94 - 1 = 6(x - 2) - 164", "Expand: 2x - 94 - 1 = 6x - 12 - 164", "Combine constants: 2x - 95 = 6x - 12 - 164", "Combine constants: 2x - 95 = 6x - 176", "Subtract 6x from both sides: -4x - 95 = -176", "Add 95 to both sides: -4x = -81", "Divide both sides by -4: x = 81/4"], "final_answer": "81/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 47) - 1 = 6(x - 2) - 164", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 47, \"c\": 1, \"d\": 6, \"e\": 2, \"f\": 164}", "seed": "8902577929346260680", "semantic_fingerprint": "sha256:b8f61a39d9559248f711733d668c27c6bf2412338c3ce413a82dee429a015bf4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002695", "prompt": "What is (2 + 86 - (-1)) * 22 - (-545) * 46?", "solution_steps": ["Add: 2 + 86 = 88", "Subtract: 88 - (-1) = 89", "Multiply: 89 * 22 = 1958", "Multiply: -545 * 46 = -25070", "Subtract: 1958 - (-25070) = 27028"], "final_answer": "27028", "answer_type": "integer", "kind": "expression", "math_text": "(2 + 86 - (-1)) * 22 - (-545) * 46", "variable": null, "family": "expression_5op", "shape": "(- (* (- (+ n n) n) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 86, \"c\": -1, \"d\": 22, \"e\": -545, \"f\": 46}", "seed": "12819617373640006656", "semantic_fingerprint": "sha256:f17fd03b3e3e7f5c83687cf1fbf8498fe79aec27115b51e801a3bbcd90cf7026", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002696", "prompt": "Find x: -5x - 7 = 5(x + 370) + 9", "solution_steps": ["Expand: -5x - 7 = 5x + 1850 + 9", "Combine constants: -5x - 7 = 5x + 1859", "Subtract 5x from both sides: -10x - 7 = 1859", "Add 7 to both sides: -10x = 1866", "Divide both sides by -10: x = -933/5"], "final_answer": "-933/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x - 7 = 5(x + 370) + 9", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 7, \"c\": 5, \"d\": 370, \"e\": 9}", "seed": "13048446455116503089", "semantic_fingerprint": "sha256:565fcd105693d367954da591b59c79c9b7523c086d81dcf92dc06c1150535f52", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002697", "prompt": "Compute: (-1 - (-50)) * (751 / (-749) * (-5) - 1)", "solution_steps": ["Subtract: -1 - (-50) = 49", "Divide: 751 / (-749) = -751/749", "Multiply: (-751/749) * (-5) = 3755/749", "Subtract: 3755/749 - 1 = 3006/749", "Multiply: 49 * (3006/749) = 21042/107"], "final_answer": "21042/107", "answer_type": "rational", "kind": "expression", "math_text": "(-1 - (-50)) * (751 / (-749) * (-5) - 1)", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (- (* (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -50, \"c\": 751, \"d\": -749, \"e\": -5, \"f\": 1}", "seed": "9428703574447975571", "semantic_fingerprint": "sha256:3578de4fa5ca59ee391341e97082f28c4f5ed9d5c6a195be6e6bca108477dbb2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002698", "prompt": "Solve for x: 7(x - 871) = 3x - 4", "solution_steps": ["Expand: 7x - 6097 = 3x - 4", "Subtract 3x from both sides: 4x - 6097 = -4", "Add 6097 to both sides: 4x = 6093", "Divide both sides by 4: x = 6093/4"], "final_answer": "6093/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 871) = 3x - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 871, \"c\": 3, \"d\": 4}", "seed": "514433601460220731", "semantic_fingerprint": "sha256:72866921d829776d72762d9c61455f2a7280a7e1761c7451aee130d39b5ffac9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002699", "prompt": "Calculate: (0 - 4 + 9) * 7", "solution_steps": ["Subtract: 0 - 4 = -4", "Add: -4 + 9 = 5", "Multiply: 5 * 7 = 35"], "final_answer": "35", "answer_type": "integer", "kind": "expression", "math_text": "(0 - 4 + 9) * 7", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 4, \"c\": 9, \"d\": 7}", "seed": "13156042540723315803", "semantic_fingerprint": "sha256:92e66d37273b1dfde822659abe44f8464ef9895b8bd73fe9f1bc19bc6d0a9a82", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002700", "prompt": "What value of x satisfies 12(x - 4) - 22 = 7(x - 72) - 3?", "solution_steps": ["Expand: 12x - 48 - 22 = 7(x - 72) - 3", "Expand: 12x - 48 - 22 = 7x - 504 - 3", "Combine constants: 12x - 70 = 7x - 504 - 3", "Combine constants: 12x - 70 = 7x - 507", "Subtract 7x from both sides: 5x - 70 = -507", "Add 70 to both sides: 5x = -437", "Divide both sides by 5: x = -437/5"], "final_answer": "-437/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 4) - 22 = 7(x - 72) - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": 22, \"d\": 7, \"e\": 72, \"f\": 3}", "seed": "2355226075807892494", "semantic_fingerprint": "sha256:6c739ade19a83d9dd8a7962e351cd4a6ce02118148a4925868707cf992ece51d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002701", "prompt": "Evaluate: -5 * 51 - 42 - 98 * 466", "solution_steps": ["Multiply: -5 * 51 = -255", "Subtract: -255 - 42 = -297", "Multiply: 98 * 466 = 45668", "Subtract: -297 - 45668 = -45965"], "final_answer": "-45965", "answer_type": "integer", "kind": "expression", "math_text": "-5 * 51 - 42 - 98 * 466", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 51, \"c\": 42, \"d\": 98, \"e\": 466}", "seed": "16310280911185501754", "semantic_fingerprint": "sha256:27b3aa073c407dd03567b33c18e293001c03e9996a35f3950edb20d80087a4c3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002702", "prompt": "Solve the equation 3(x + 6) + 2 = 10(x + 49) - 505 for x.", "solution_steps": ["Expand: 3x + 18 + 2 = 10(x + 49) - 505", "Expand: 3x + 18 + 2 = 10x + 490 - 505", "Combine constants: 3x + 20 = 10x + 490 - 505", "Combine constants: 3x + 20 = 10x - 15", "Subtract 10x from both sides: -7x + 20 = -15", "Subtract 20 from both sides: -7x = -35", "Divide both sides by -7: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 6) + 2 = 10(x + 49) - 505", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 2, \"d\": 10, \"e\": 49, \"g\": -505, \"x\": 5}", "seed": "17396522858628978241", "semantic_fingerprint": "sha256:48c67561baae723fb788c26a319b93a3ab16b4b4e8c08026b8cb25a15e862782", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002703", "prompt": "Compute: (56 / (-3) + (-39)) * 7", "solution_steps": ["Divide: 56 / (-3) = -56/3", "Add: -56/3 + (-39) = -173/3", "Multiply: (-173/3) * 7 = -1211/3"], "final_answer": "-1211/3", "answer_type": "rational", "kind": "expression", "math_text": "(56 / (-3) + (-39)) * 7", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": -3, \"c\": -39, \"d\": 7}", "seed": "9346480175697946216", "semantic_fingerprint": "sha256:0ad299e02937e08066b899c09584a2bd175907113c1229a7e62a162d3ddda03a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002704", "prompt": "Find x: -9(x - 67) + 9 = 11x + 62", "solution_steps": ["Expand: -9x + 603 + 9 = 11x + 62", "Combine constants: -9x + 612 = 11x + 62", "Subtract 11x from both sides: -20x + 612 = 62", "Subtract 612 from both sides: -20x = -550", "Divide both sides by -20: x = 55/2"], "final_answer": "55/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 67) + 9 = 11x + 62", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 67, \"c\": 9, \"d\": 11, \"e\": 62}", "seed": "10541937478595376638", "semantic_fingerprint": "sha256:663c9f91bd9cc8bd467de8f166e31af2cb0fe8bde3b13149e28bee86044aa913", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002705", "prompt": "Evaluate: -519 - (-352) * 26 + (-897) + 76", "solution_steps": ["Multiply: -352 * 26 = -9152", "Subtract: -519 - (-9152) = 8633", "Add: 8633 + (-897) = 7736", "Add: 7736 + 76 = 7812"], "final_answer": "7812", "answer_type": "integer", "kind": "expression", "math_text": "-519 - (-352) * 26 + (-897) + 76", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -519, \"b\": -352, \"c\": 26, \"d\": -897, \"e\": 76}", "seed": "12052953590320876485", "semantic_fingerprint": "sha256:d5d0e089b27aadf8b0f15a4d7e6cfeb5bc0f2939d55027897b3a781c3b237c00", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002706", "prompt": "What is -17 + 348 - (-4 + 9)?", "solution_steps": ["Add: -17 + 348 = 331", "Add: -4 + 9 = 5", "Subtract: 331 - 5 = 326"], "final_answer": "326", "answer_type": "integer", "kind": "expression", "math_text": "-17 + 348 - (-4 + 9)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": 348, \"c\": -4, \"d\": 9}", "seed": "8063514639593866149", "semantic_fingerprint": "sha256:743e95c4b5a5943db8c626e7fa3761a5c72b16f0088b7439864947aa3a9daa0c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002707", "prompt": "Compute: -55 / (479 / (2 - (-2)) * (-1) + (-92))", "solution_steps": ["Subtract: 2 - (-2) = 4", "Divide: 479 / 4 = 479/4", "Multiply: (479/4) * (-1) = -479/4", "Add: -479/4 + (-92) = -847/4", "Divide: -55 / (-847/4) = 20/77"], "final_answer": "20/77", "answer_type": "rational", "kind": "expression", "math_text": "-55 / (479 / (2 - (-2)) * (-1) + (-92))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (* (/ n (- n n)) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 479, \"c\": 2, \"d\": -2, \"e\": -1, \"f\": -92}", "seed": "3496250870299017846", "semantic_fingerprint": "sha256:d7d8cfbef08ea000d6c1cad85e77981d7957c8556e085b6c3681a5b703f001ac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002708", "prompt": "What is -4 + (26 - (-18)) + (-82) / (21 + 86)?", "solution_steps": ["Subtract: 26 - (-18) = 44", "Add: -4 + 44 = 40", "Add: 21 + 86 = 107", "Divide: -82 / 107 = -82/107", "Add: 40 + (-82/107) = 4198/107"], "final_answer": "4198/107", "answer_type": "rational", "kind": "expression", "math_text": "-4 + (26 - (-18)) + (-82) / (21 + 86)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (- n n)) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 26, \"c\": -18, \"d\": -82, \"e\": 21, \"f\": 86}", "seed": "14009333455671620477", "semantic_fingerprint": "sha256:85988cb1fe5a5ee66fa99c6a72aad37958c37b987681f997d91c22a56d3f8184", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002709", "prompt": "What is (39 + 916) / (22 / 1)?", "solution_steps": ["Add: 39 + 916 = 955", "Divide: 22 / 1 = 22", "Divide: 955 / 22 = 955/22"], "final_answer": "955/22", "answer_type": "rational", "kind": "expression", "math_text": "(39 + 916) / (22 / 1)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 916, \"c\": 22, \"d\": 1}", "seed": "16026520983881413817", "semantic_fingerprint": "sha256:a37df521a857c0d033311a0aea487ffce8c8b03de6ef4643e7d79164799f508d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002710", "prompt": "Calculate: -188 + (94 / (-27 - (-9)) + (-12))", "solution_steps": ["Subtract: -27 - (-9) = -18", "Divide: 94 / (-18) = -47/9", "Add: -47/9 + (-12) = -155/9", "Add: -188 + (-155/9) = -1847/9"], "final_answer": "-1847/9", "answer_type": "rational", "kind": "expression", "math_text": "-188 + (94 / (-27 - (-9)) + (-12))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (/ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -188, \"b\": 94, \"c\": -27, \"d\": -9, \"e\": -12}", "seed": "2468830958626608795", "semantic_fingerprint": "sha256:d29a6f91879c4f5d40bec96b71b5f3a5ef36859c82d207a6e3241350843519df", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002711", "prompt": "What is (28 / 8 + 93) * (-90)?", "solution_steps": ["Divide: 28 / 8 = 7/2", "Add: 7/2 + 93 = 193/2", "Multiply: (193/2) * (-90) = -8685"], "final_answer": "-8685", "answer_type": "integer", "kind": "expression", "math_text": "(28 / 8 + 93) * (-90)", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 8, \"c\": 93, \"d\": -90}", "seed": "9780422388791253241", "semantic_fingerprint": "sha256:6ca8bb2ab928718e6275766fb3d74fdf30f61fd6ca60008d7ee2b25bb2e670f4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002712", "prompt": "Solve for x: x - 8 = 12(x - 38) + 602", "solution_steps": ["Expand: x - 8 = 12x - 456 + 602", "Combine constants: x - 8 = 12x + 146", "Subtract 12x from both sides: -11x - 8 = 146", "Add 8 to both sides: -11x = 154", "Divide both sides by -11: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8 = 12(x - 38) + 602", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 12, \"c\": 38, \"e\": 602, \"x\": -14}", "seed": "5475860267397620870", "semantic_fingerprint": "sha256:3a74b746f13fb45bb3f60989259d5b9a192ac1c576c7385613a30972a3ffa038", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002713", "prompt": "What value of x satisfies 7(x - 83) - 828 = 9(x - 90) - 587?", "solution_steps": ["Expand: 7x - 581 - 828 = 9(x - 90) - 587", "Expand: 7x - 581 - 828 = 9x - 810 - 587", "Combine constants: 7x - 1409 = 9x - 810 - 587", "Combine constants: 7x - 1409 = 9x - 1397", "Subtract 9x from both sides: -2x - 1409 = -1397", "Add 1409 to both sides: -2x = 12", "Divide both sides by -2: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 83) - 828 = 9(x - 90) - 587", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 83, \"c\": 828, \"d\": 9, \"e\": 90, \"g\": -587, \"x\": -6}", "seed": "13075246821691793276", "semantic_fingerprint": "sha256:82e2beb86e364499ce591184d7dbfe25585ec690e9cd604ec48bfc2d7ce0a946", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002714", "prompt": "Find x: 11(x - 55) + 1 = 6(x + 76) - 7", "solution_steps": ["Expand: 11x - 605 + 1 = 6(x + 76) - 7", "Expand: 11x - 605 + 1 = 6x + 456 - 7", "Combine constants: 11x - 604 = 6x + 456 - 7", "Combine constants: 11x - 604 = 6x + 449", "Subtract 6x from both sides: 5x - 604 = 449", "Add 604 to both sides: 5x = 1053", "Divide both sides by 5: x = 1053/5"], "final_answer": "1053/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 55) + 1 = 6(x + 76) - 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 55, \"c\": 1, \"d\": 6, \"e\": 76, \"f\": 7}", "seed": "13116479710184126920", "semantic_fingerprint": "sha256:1f8aa3dc4bc247c2c98b4d19185f0584d2ae5739ae29a14f5409df87b7a96041", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002715", "prompt": "Calculate: (-324 + 854 * (-97)) * (-24 - (-12))", "solution_steps": ["Multiply: 854 * (-97) = -82838", "Add: -324 + (-82838) = -83162", "Subtract: -24 - (-12) = -12", "Multiply: -83162 * (-12) = 997944"], "final_answer": "997944", "answer_type": "integer", "kind": "expression", "math_text": "(-324 + 854 * (-97)) * (-24 - (-12))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -324, \"b\": 854, \"c\": -97, \"d\": -24, \"e\": -12}", "seed": "12994197199054384479", "semantic_fingerprint": "sha256:89b4517ed6d1592ef478e3cc4a5b64136ee2e89833ebe2bf116de94886a03b1e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002716", "prompt": "Find x: -10(x - 93) + 5 = 10(x + 6) - 48", "solution_steps": ["Expand: -10x + 930 + 5 = 10(x + 6) - 48", "Expand: -10x + 930 + 5 = 10x + 60 - 48", "Combine constants: -10x + 935 = 10x + 60 - 48", "Combine constants: -10x + 935 = 10x + 12", "Subtract 10x from both sides: -20x + 935 = 12", "Subtract 935 from both sides: -20x = -923", "Divide both sides by -20: x = 923/20"], "final_answer": "923/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 93) + 5 = 10(x + 6) - 48", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 93, \"c\": 5, \"d\": 10, \"e\": 6, \"f\": 48}", "seed": "1526639593127679939", "semantic_fingerprint": "sha256:2f8a45a9302737554b97cc9ea8d7ae2436d61dba89b85bf7d108bd97a490aa90", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002717", "prompt": "Compute: (8 - (-416 - 492)) / (-18 + 93)", "solution_steps": ["Subtract: -416 - 492 = -908", "Subtract: 8 - (-908) = 916", "Add: -18 + 93 = 75", "Divide: 916 / 75 = 916/75"], "final_answer": "916/75", "answer_type": "rational", "kind": "expression", "math_text": "(8 - (-416 - 492)) / (-18 + 93)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -416, \"c\": 492, \"d\": -18, \"e\": 93}", "seed": "1722119529997794283", "semantic_fingerprint": "sha256:5538e738ed4a8adb9f9ef0d026a60ef9edb790519785cbfa75d148eee8f33310", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002718", "prompt": "Compute: (7 - (-8)) / (-54 * 139)", "solution_steps": ["Subtract: 7 - (-8) = 15", "Multiply: -54 * 139 = -7506", "Divide: 15 / (-7506) = -5/2502"], "final_answer": "-5/2502", "answer_type": "rational", "kind": "expression", "math_text": "(7 - (-8)) / (-54 * 139)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -8, \"c\": -54, \"d\": 139}", "seed": "13153165778515234797", "semantic_fingerprint": "sha256:9f581aad777e73ff293b906093c8e6bbae0f36a216c51d14736f0294e4396860", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002719", "prompt": "What is (-51 - (-40)) * (-5 * (-5))?", "solution_steps": ["Subtract: -51 - (-40) = -11", "Multiply: -5 * (-5) = 25", "Multiply: -11 * 25 = -275"], "final_answer": "-275", "answer_type": "integer", "kind": "expression", "math_text": "(-51 - (-40)) * (-5 * (-5))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -40, \"c\": -5, \"d\": -5}", "seed": "17335098488714885116", "semantic_fingerprint": "sha256:1bc8068d819143056493f0cd511c1507eaff8a7f256ce49f6a1a82961e26fba1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002720", "prompt": "What value of x satisfies 4(x - 89) = -7x - 411?", "solution_steps": ["Expand: 4x - 356 = -7x - 411", "Add 7x to both sides: 11x - 356 = -411", "Add 356 to both sides: 11x = -55", "Divide both sides by 11: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 89) = -7x - 411", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 89, \"c\": -7, \"e\": -411, \"x\": -5}", "seed": "18298189587294326494", "semantic_fingerprint": "sha256:6d8cad690c5bf8996d4cd510176a9a3065378d74de413eea078b3870d9f3d07a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002721", "prompt": "Solve the equation -12(x + 50) + 788 = 2(x + 781) - 590 for x.", "solution_steps": ["Expand: -12x - 600 + 788 = 2(x + 781) - 590", "Expand: -12x - 600 + 788 = 2x + 1562 - 590", "Combine constants: -12x + 188 = 2x + 1562 - 590", "Combine constants: -12x + 188 = 2x + 972", "Subtract 2x from both sides: -14x + 188 = 972", "Subtract 188 from both sides: -14x = 784", "Divide both sides by -14: x = -56"], "final_answer": "-56", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 50) + 788 = 2(x + 781) - 590", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 50, \"c\": 788, \"d\": 2, \"e\": 781, \"f\": 590}", "seed": "16878428680011826694", "semantic_fingerprint": "sha256:2565dcf5b75813d3dead0d10f2624d13a4429c688a98cb5377bf0130e0ae1822", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002722", "prompt": "Calculate: -55 * (-61) / (-8) / 8", "solution_steps": ["Multiply: -55 * (-61) = 3355", "Divide: 3355 / (-8) = -3355/8", "Divide: (-3355/8) / 8 = -3355/64"], "final_answer": "-3355/64", "answer_type": "rational", "kind": "expression", "math_text": "-55 * (-61) / (-8) / 8", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": -61, \"c\": -8, \"d\": 8}", "seed": "928076936880983008", "semantic_fingerprint": "sha256:44425409203f312fa8cdd1f425a115ef993f350ee0bbcf9a649fdd8518d2f653", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002723", "prompt": "What value of x satisfies 7(x + 7) - 868 = x - 867?", "solution_steps": ["Expand: 7x + 49 - 868 = x - 867", "Combine constants: 7x - 819 = x - 867", "Subtract x from both sides: 6x - 819 = -867", "Add 819 to both sides: 6x = -48", "Divide both sides by 6: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 7) - 868 = x - 867", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 868, \"e\": -867, \"x\": -8}", "seed": "9362422244622932546", "semantic_fingerprint": "sha256:1ba03ccacc7c544925a3e6051a9ff19ca35c8b8b07777429e9a1b5bf05558210", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002724", "prompt": "Compute: -8 + 57 - 366 + (-7)", "solution_steps": ["Add: -8 + 57 = 49", "Subtract: 49 - 366 = -317", "Add: -317 + (-7) = -324"], "final_answer": "-324", "answer_type": "integer", "kind": "expression", "math_text": "-8 + 57 - 366 + (-7)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 57, \"c\": 366, \"d\": -7}", "seed": "9337032109786739264", "semantic_fingerprint": "sha256:9f21fc923e8d8a13ecdf71c6305d4d8b6e9cd98d63ed84fd82b59790bef55158", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002725", "prompt": "Solve for x: 4(x + 2) - 93 = x - 58", "solution_steps": ["Expand: 4x + 8 - 93 = x - 58", "Combine constants: 4x - 85 = x - 58", "Subtract x from both sides: 3x - 85 = -58", "Add 85 to both sides: 3x = 27", "Divide both sides by 3: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 2) - 93 = x - 58", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": 93, \"e\": -58, \"x\": 9}", "seed": "16453625669806917334", "semantic_fingerprint": "sha256:031ab2a9b4830ada1e23defdfef322a8b4abc503e746fae334c562d6756e953e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002726", "prompt": "Evaluate: (-2 / (-8) + 6) * 43", "solution_steps": ["Divide: -2 / (-8) = 1/4", "Add: 1/4 + 6 = 25/4", "Multiply: (25/4) * 43 = 1075/4"], "final_answer": "1075/4", "answer_type": "rational", "kind": "expression", "math_text": "(-2 / (-8) + 6) * 43", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -8, \"c\": 6, \"d\": 43}", "seed": "9165594280384377292", "semantic_fingerprint": "sha256:afd1cea3456e03c01c68feb40392af3f32883b86509c17343e3112f09b2a938f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002727", "prompt": "Compute: -87 + 81 / (2 - (-797))", "solution_steps": ["Subtract: 2 - (-797) = 799", "Divide: 81 / 799 = 81/799", "Add: -87 + 81/799 = -69432/799"], "final_answer": "-69432/799", "answer_type": "rational", "kind": "expression", "math_text": "-87 + 81 / (2 - (-797))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": 81, \"c\": 2, \"d\": -797}", "seed": "2475627239700143188", "semantic_fingerprint": "sha256:0e63de457b80739b0c7eab3d6fbe7655b4d008986546664dfe3afdf89bc9c961", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002728", "prompt": "Evaluate: (905 - 566) * (-608 / (-5) - 9 + (-1))", "solution_steps": ["Subtract: 905 - 566 = 339", "Divide: -608 / (-5) = 608/5", "Subtract: 608/5 - 9 = 563/5", "Add: 563/5 + (-1) = 558/5", "Multiply: 339 * (558/5) = 189162/5"], "final_answer": "189162/5", "answer_type": "rational", "kind": "expression", "math_text": "(905 - 566) * (-608 / (-5) - 9 + (-1))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (+ (- (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 905, \"b\": 566, \"c\": -608, \"d\": -5, \"e\": 9, \"f\": -1}", "seed": "12149370720747562769", "semantic_fingerprint": "sha256:29cca1c4cb527642098464b6812c8c877e3f0642aea00db2376371d03a2acf43", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002729", "prompt": "Compute: -738 / 285 + (-4) / (17 + (7 + (-13)))", "solution_steps": ["Divide: -738 / 285 = -246/95", "Add: 7 + (-13) = -6", "Add: 17 + (-6) = 11", "Divide: -4 / 11 = -4/11", "Add: -246/95 + (-4/11) = -3086/1045"], "final_answer": "-3086/1045", "answer_type": "rational", "kind": "expression", "math_text": "-738 / 285 + (-4) / (17 + (7 + (-13)))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (/ n (+ n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -738, \"b\": 285, \"c\": -4, \"d\": 17, \"e\": 7, \"f\": -13}", "seed": "2849000501374838551", "semantic_fingerprint": "sha256:f5f37008d84e2ee03ee5b76ee8e3b72741fa00e63792916ca72499634f9d4d35", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002730", "prompt": "Find x: 5(x - 58) + 153 = 11(x + 2) - 213", "solution_steps": ["Expand: 5x - 290 + 153 = 11(x + 2) - 213", "Expand: 5x - 290 + 153 = 11x + 22 - 213", "Combine constants: 5x - 137 = 11x + 22 - 213", "Combine constants: 5x - 137 = 11x - 191", "Subtract 11x from both sides: -6x - 137 = -191", "Add 137 to both sides: -6x = -54", "Divide both sides by -6: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 58) + 153 = 11(x + 2) - 213", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 58, \"c\": 153, \"d\": 11, \"e\": 2, \"g\": -213, \"x\": 9}", "seed": "13469629746177323113", "semantic_fingerprint": "sha256:322ad0881937b844915693c37edef78ffcace5e6608b5c3fffbd3b117a4fdf39", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002731", "prompt": "What is -83 * ((5 * 50 + (-48)) * (-39))?", "solution_steps": ["Multiply: 5 * 50 = 250", "Add: 250 + (-48) = 202", "Multiply: 202 * (-39) = -7878", "Multiply: -83 * (-7878) = 653874"], "final_answer": "653874", "answer_type": "integer", "kind": "expression", "math_text": "-83 * ((5 * 50 + (-48)) * (-39))", "variable": null, "family": "expression_4op", "shape": "(* n (* (+ (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": 5, \"c\": 50, \"d\": -48, \"e\": -39}", "seed": "1272378163901706105", "semantic_fingerprint": "sha256:5f8d8ecf6cfb7d513052aa131bca61bf7e17a0d7a32b17d4818a57b698c75dfd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002732", "prompt": "What is (73 / 4 + (5 + 0)) / (8 * 3)?", "solution_steps": ["Divide: 73 / 4 = 73/4", "Add: 5 + 0 = 5", "Add: 73/4 + 5 = 93/4", "Multiply: 8 * 3 = 24", "Divide: (93/4) / 24 = 31/32"], "final_answer": "31/32", "answer_type": "rational", "kind": "expression", "math_text": "(73 / 4 + (5 + 0)) / (8 * 3)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (/ n n) (+ n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 4, \"c\": 5, \"d\": 0, \"e\": 8, \"f\": 3}", "seed": "2608083972967147587", "semantic_fingerprint": "sha256:c1325d17df61b07b25c9efb7cacd7f96fef4025f04acc29fe223a6dc51056ae3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002733", "prompt": "Calculate: 9 + (48 * 7 + (-962) * (-41))", "solution_steps": ["Multiply: 48 * 7 = 336", "Multiply: -962 * (-41) = 39442", "Add: 336 + 39442 = 39778", "Add: 9 + 39778 = 39787"], "final_answer": "39787", "answer_type": "integer", "kind": "expression", "math_text": "9 + (48 * 7 + (-962) * (-41))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 48, \"c\": 7, \"d\": -962, \"e\": -41}", "seed": "17793002687946132437", "semantic_fingerprint": "sha256:20ced7cab7ea1bfb72aabb88a24f9ad076fa44074e5c7e9a5b395727f65c0876", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002734", "prompt": "Compute: -5 * (319 - (-461 - 30) * 34)", "solution_steps": ["Subtract: -461 - 30 = -491", "Multiply: -491 * 34 = -16694", "Subtract: 319 - (-16694) = 17013", "Multiply: -5 * 17013 = -85065"], "final_answer": "-85065", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (319 - (-461 - 30) * 34)", "variable": null, "family": "expression_4op", "shape": "(* n (- n (* (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 319, \"c\": -461, \"d\": 30, \"e\": 34}", "seed": "18002778943759577462", "semantic_fingerprint": "sha256:cc7d870114110a9dcfdde647f368464504617d596418cdab8c53bf0e24be7ea8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002735", "prompt": "What is -25 + (-21 / (-42) - 9) - 1 + 355?", "solution_steps": ["Divide: -21 / (-42) = 1/2", "Subtract: 1/2 - 9 = -17/2", "Add: -25 + (-17/2) = -67/2", "Subtract: -67/2 - 1 = -69/2", "Add: -69/2 + 355 = 641/2"], "final_answer": "641/2", "answer_type": "rational", "kind": "expression", "math_text": "-25 + (-21 / (-42) - 9) - 1 + 355", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n (- (/ n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -21, \"c\": -42, \"d\": 9, \"e\": 1, \"f\": 355}", "seed": "16063440260010279607", "semantic_fingerprint": "sha256:3a434360ca44a53b078aae250e71d8b114c68787f23abb36a7099ddc1911585d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002736", "prompt": "Solve for x: 11x - 5 = -8(x + 7) + 8", "solution_steps": ["Expand: 11x - 5 = -8x - 56 + 8", "Combine constants: 11x - 5 = -8x - 48", "Add 8x to both sides: 19x - 5 = -48", "Add 5 to both sides: 19x = -43", "Divide both sides by 19: x = -43/19"], "final_answer": "-43/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 5 = -8(x + 7) + 8", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": -8, \"d\": 7, \"e\": 8}", "seed": "4431084244650215219", "semantic_fingerprint": "sha256:210b9f430714136bb071c9ca8cc8d647b32e299e25d7c4425eafb236724d1fa1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002737", "prompt": "What is 18 + (-372 - 31) + (43 + (-31)) * 22?", "solution_steps": ["Subtract: -372 - 31 = -403", "Add: 18 + (-403) = -385", "Add: 43 + (-31) = 12", "Multiply: 12 * 22 = 264", "Add: -385 + 264 = -121"], "final_answer": "-121", "answer_type": "integer", "kind": "expression", "math_text": "18 + (-372 - 31) + (43 + (-31)) * 22", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (- n n)) (* (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": -372, \"c\": 31, \"d\": 43, \"e\": -31, \"f\": 22}", "seed": "3677756345360785547", "semantic_fingerprint": "sha256:9e871d295721b5048a28474d61092cbdf5af90b204e5f1d6bc96310baef94fff", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002738", "prompt": "Calculate: 7 / ((-26 - (-12)) / 6) * (-382)", "solution_steps": ["Subtract: -26 - (-12) = -14", "Divide: -14 / 6 = -7/3", "Divide: 7 / (-7/3) = -3", "Multiply: -3 * (-382) = 1146"], "final_answer": "1146", "answer_type": "integer", "kind": "expression", "math_text": "7 / ((-26 - (-12)) / 6) * (-382)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (/ (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -26, \"c\": -12, \"d\": 6, \"e\": -382}", "seed": "7911960727548705152", "semantic_fingerprint": "sha256:85c4f5ee8549846efaaf4ff029960b0678c2ce899b3321528a8cf4bc68dd78db", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002739", "prompt": "Compute: 6 / (213 - (-4) - (-12))", "solution_steps": ["Subtract: 213 - (-4) = 217", "Subtract: 217 - (-12) = 229", "Divide: 6 / 229 = 6/229"], "final_answer": "6/229", "answer_type": "rational", "kind": "expression", "math_text": "6 / (213 - (-4) - (-12))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 213, \"c\": -4, \"d\": -12}", "seed": "8641183002885138271", "semantic_fingerprint": "sha256:6fc6244f8695d953fa368baa4a357c25b0c32b16c425671d72d03f770587e8d3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002740", "prompt": "Solve for x: 2(x + 3) + 9 = 5(x + 88) - 458", "solution_steps": ["Expand: 2x + 6 + 9 = 5(x + 88) - 458", "Expand: 2x + 6 + 9 = 5x + 440 - 458", "Combine constants: 2x + 15 = 5x + 440 - 458", "Combine constants: 2x + 15 = 5x - 18", "Subtract 5x from both sides: -3x + 15 = -18", "Subtract 15 from both sides: -3x = -33", "Divide both sides by -3: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 3) + 9 = 5(x + 88) - 458", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 9, \"d\": 5, \"e\": 88, \"g\": -458, \"x\": 11}", "seed": "3814766178019272009", "semantic_fingerprint": "sha256:1fa8519aa5e9b021b49f62ded181293e58c3ce9596e1dbbfdd81580e65946b5b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002741", "prompt": "Calculate: (77 + (-868)) * ((-40 + 9) / (-6 / 2))", "solution_steps": ["Add: 77 + (-868) = -791", "Add: -40 + 9 = -31", "Divide: -6 / 2 = -3", "Divide: -31 / (-3) = 31/3", "Multiply: -791 * (31/3) = -24521/3"], "final_answer": "-24521/3", "answer_type": "rational", "kind": "expression", "math_text": "(77 + (-868)) * ((-40 + 9) / (-6 / 2))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (/ (+ n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -868, \"c\": -40, \"d\": 9, \"e\": -6, \"f\": 2}", "seed": "4350053915626162084", "semantic_fingerprint": "sha256:714875fdc9dbe0bb85674a747b27356a4f797a18096b8f85017b91b1364aa99e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002742", "prompt": "Find x: 6(x + 70) + 834 = 12(x + 18) - 24", "solution_steps": ["Expand: 6x + 420 + 834 = 12(x + 18) - 24", "Expand: 6x + 420 + 834 = 12x + 216 - 24", "Combine constants: 6x + 1254 = 12x + 216 - 24", "Combine constants: 6x + 1254 = 12x + 192", "Subtract 12x from both sides: -6x + 1254 = 192", "Subtract 1254 from both sides: -6x = -1062", "Divide both sides by -6: x = 177"], "final_answer": "177", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 70) + 834 = 12(x + 18) - 24", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 70, \"c\": 834, \"d\": 12, \"e\": 18, \"f\": 24}", "seed": "5652006502259430610", "semantic_fingerprint": "sha256:e31186b9e79ddc32fbd4ed8c41d6af3c13de0138f14cd3db1ae5036f719616db", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002743", "prompt": "What is (-182 + 493) * (-51) * (34 + (-8))?", "solution_steps": ["Add: -182 + 493 = 311", "Multiply: 311 * (-51) = -15861", "Add: 34 + (-8) = 26", "Multiply: -15861 * 26 = -412386"], "final_answer": "-412386", "answer_type": "integer", "kind": "expression", "math_text": "(-182 + 493) * (-51) * (34 + (-8))", "variable": null, "family": "expression_4op", "shape": "(* (* (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -182, \"b\": 493, \"c\": -51, \"d\": 34, \"e\": -8}", "seed": "10105956845580364772", "semantic_fingerprint": "sha256:5e601a7e3f8b547351242a5bc82ba650172bddf82fcf819eb150e254d49228a8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002744", "prompt": "Evaluate: (-554 + 78) / (-912 / 7)", "solution_steps": ["Add: -554 + 78 = -476", "Divide: -912 / 7 = -912/7", "Divide: -476 / (-912/7) = 833/228"], "final_answer": "833/228", "answer_type": "rational", "kind": "expression", "math_text": "(-554 + 78) / (-912 / 7)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -554, \"b\": 78, \"c\": -912, \"d\": 7}", "seed": "2260712907546911757", "semantic_fingerprint": "sha256:018ace829964b5618baf10379f2cddabdab672f7b58661341baa374e23aa8892", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002745", "prompt": "Solve for x: 5(x - 40) - 7 = -7(x - 8) - 359", "solution_steps": ["Expand: 5x - 200 - 7 = -7(x - 8) - 359", "Expand: 5x - 200 - 7 = -7x + 56 - 359", "Combine constants: 5x - 207 = -7x + 56 - 359", "Combine constants: 5x - 207 = -7x - 303", "Add 7x to both sides: 12x - 207 = -303", "Add 207 to both sides: 12x = -96", "Divide both sides by 12: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 40) - 7 = -7(x - 8) - 359", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 40, \"c\": 7, \"d\": -7, \"e\": 8, \"g\": -359, \"x\": -8}", "seed": "16036670082976237444", "semantic_fingerprint": "sha256:b77f064b6f6aacb74779fb8e5a66daba45a8e801a4c1e96686f679aa273d833f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002746", "prompt": "What value of x satisfies x - 12 = 5(x - 7) + 27?", "solution_steps": ["Expand: x - 12 = 5x - 35 + 27", "Combine constants: x - 12 = 5x - 8", "Subtract 5x from both sides: -4x - 12 = -8", "Add 12 to both sides: -4x = 4", "Divide both sides by -4: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 12 = 5(x - 7) + 27", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 7, \"e\": 27, \"x\": -1}", "seed": "2124165214414979322", "semantic_fingerprint": "sha256:79bb73ea08576941df5d6b44451c06cac5d1aa078f1c374f28631ebca0b51762", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002747", "prompt": "What is -749 - (97 - 40) + (5 + 64)?", "solution_steps": ["Subtract: 97 - 40 = 57", "Subtract: -749 - 57 = -806", "Add: 5 + 64 = 69", "Add: -806 + 69 = -737"], "final_answer": "-737", "answer_type": "integer", "kind": "expression", "math_text": "-749 - (97 - 40) + (5 + 64)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -749, \"b\": 97, \"c\": 40, \"d\": 5, \"e\": 64}", "seed": "3266589209861182087", "semantic_fingerprint": "sha256:c22a701fb3636a99e829c3930bcf4d7843e7d273872fd38a3b32d6e1cea1f9e3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002748", "prompt": "Solve for x: 8(x + 4) - 5 = x - 6", "solution_steps": ["Expand: 8x + 32 - 5 = x - 6", "Combine constants: 8x + 27 = x - 6", "Subtract x from both sides: 7x + 27 = -6", "Subtract 27 from both sides: 7x = -33", "Divide both sides by 7: x = -33/7"], "final_answer": "-33/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 4) - 5 = x - 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 5, \"d\": 6}", "seed": "17301146941198145301", "semantic_fingerprint": "sha256:a3611ca41313ed33cc9277b803c234ecd7a619878fecf2d14044f94e6d2f0ec1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002749", "prompt": "Calculate: -423 - (-28) * (-84) - 49", "solution_steps": ["Multiply: -28 * (-84) = 2352", "Subtract: -423 - 2352 = -2775", "Subtract: -2775 - 49 = -2824"], "final_answer": "-2824", "answer_type": "integer", "kind": "expression", "math_text": "-423 - (-28) * (-84) - 49", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -423, \"b\": -28, \"c\": -84, \"d\": 49}", "seed": "10094030274038844705", "semantic_fingerprint": "sha256:08d97b4159da90743a2a3c7c2664da2c9088b80439e33902d57dfb46f82dd458", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002750", "prompt": "Find x: 4(x - 23) + 460 = -8x + 608", "solution_steps": ["Expand: 4x - 92 + 460 = -8x + 608", "Combine constants: 4x + 368 = -8x + 608", "Add 8x to both sides: 12x + 368 = 608", "Subtract 368 from both sides: 12x = 240", "Divide both sides by 12: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 23) + 460 = -8x + 608", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 23, \"c\": 460, \"d\": -8, \"f\": 608, \"x\": 20}", "seed": "778084657086829610", "semantic_fingerprint": "sha256:b9ad84725c945e9cd945c28a8c3d569255b04e4b224f467b6a7c1d70a8830c41", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002751", "prompt": "Find x: 7(x - 8) = 10x - 83", "solution_steps": ["Expand: 7x - 56 = 10x - 83", "Subtract 10x from both sides: -3x - 56 = -83", "Add 56 to both sides: -3x = -27", "Divide both sides by -3: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 8) = 10x - 83", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 10, \"e\": -83, \"x\": 9}", "seed": "10661023458225023840", "semantic_fingerprint": "sha256:a8347e43e15be499696d9e08206617636aad4836c56c79afd74ff6c8a3a55f89", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002752", "prompt": "Calculate: 909 + (1 + 54) - 0", "solution_steps": ["Add: 1 + 54 = 55", "Add: 909 + 55 = 964", "Subtract: 964 - 0 = 964"], "final_answer": "964", "answer_type": "integer", "kind": "expression", "math_text": "909 + (1 + 54) - 0", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 909, \"b\": 1, \"c\": 54, \"d\": 0}", "seed": "12498931442199309120", "semantic_fingerprint": "sha256:fea7a08d74c6bf878c81380c88ac0f61287a8d0b12c065c880f1034b744f2bbe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002753", "prompt": "Find x: 6(x - 102) + 98 = 4(x - 128)", "solution_steps": ["Expand: 6x - 612 + 98 = 4(x - 128)", "Expand: 6x - 612 + 98 = 4x - 512", "Combine constants: 6x - 514 = 4x - 512", "Subtract 4x from both sides: 2x - 514 = -512", "Add 514 to both sides: 2x = 2", "Divide both sides by 2: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 102) + 98 = 4(x - 128)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 102, \"c\": 4, \"d\": 128, \"f\": 98, \"x\": 1}", "seed": "651233478088224715", "semantic_fingerprint": "sha256:785f8920c2ddfe4b7f4d0faff7bfd18d9c4eed29b2d38aa8a59a0c2f78f29aa2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002754", "prompt": "Calculate: -70 + (-815) - (-11) + 60", "solution_steps": ["Add: -70 + (-815) = -885", "Subtract: -885 - (-11) = -874", "Add: -874 + 60 = -814"], "final_answer": "-814", "answer_type": "integer", "kind": "expression", "math_text": "-70 + (-815) - (-11) + 60", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": -815, \"c\": -11, \"d\": 60}", "seed": "9691131837258792391", "semantic_fingerprint": "sha256:910478ad77d6059747980a096273c0ee8f8fa4d4b81c45650d7c6d1a9fdbff4c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002755", "prompt": "Find x: x - 9 = 5(x - 9) + 40", "solution_steps": ["Expand: x - 9 = 5x - 45 + 40", "Combine constants: x - 9 = 5x - 5", "Subtract 5x from both sides: -4x - 9 = -5", "Add 9 to both sides: -4x = 4", "Divide both sides by -4: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9 = 5(x - 9) + 40", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 9, \"e\": 40, \"x\": -1}", "seed": "3447265298550977987", "semantic_fingerprint": "sha256:610a94cec986c858eac90c9f11d8d377e0a9532d5aa1b519d5ba11264f13a5d9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002756", "prompt": "What is (-17 - (-5)) / 26 - (309 - 839)?", "solution_steps": ["Subtract: -17 - (-5) = -12", "Divide: -12 / 26 = -6/13", "Subtract: 309 - 839 = -530", "Subtract: -6/13 - (-530) = 6884/13"], "final_answer": "6884/13", "answer_type": "rational", "kind": "expression", "math_text": "(-17 - (-5)) / 26 - (309 - 839)", "variable": null, "family": "expression_4op", "shape": "(- (/ (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": -5, \"c\": 26, \"d\": 309, \"e\": 839}", "seed": "17464031222459625309", "semantic_fingerprint": "sha256:aac431020614064e3e3caea2662d445c3fd7f220f95e613d0fe7a14b9cc33b34", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002757", "prompt": "Compute: 31 * (-11) + (-92 + (-5) / (-7))", "solution_steps": ["Multiply: 31 * (-11) = -341", "Divide: -5 / (-7) = 5/7", "Add: -92 + 5/7 = -639/7", "Add: -341 + (-639/7) = -3026/7"], "final_answer": "-3026/7", "answer_type": "rational", "kind": "expression", "math_text": "31 * (-11) + (-92 + (-5) / (-7))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": -11, \"c\": -92, \"d\": -5, \"e\": -7}", "seed": "6723401263057842630", "semantic_fingerprint": "sha256:ca7f923fa5f915d23e3f2e4769503bd396e15b1f2ec44aa6df6495df70e5cde4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002758", "prompt": "What is -1 - (-58 + (-947 - 672))?", "solution_steps": ["Subtract: -947 - 672 = -1619", "Add: -58 + (-1619) = -1677", "Subtract: -1 - (-1677) = 1676"], "final_answer": "1676", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (-58 + (-947 - 672))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -58, \"c\": -947, \"d\": 672}", "seed": "5946813593129254051", "semantic_fingerprint": "sha256:459a9b08468a61294d19b0406275c3b3517dcf36c76305bdcdbca19b6341e810", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002759", "prompt": "Calculate: -86 * (96 + 0 + (-634)) + 36 / 5", "solution_steps": ["Add: 96 + 0 = 96", "Add: 96 + (-634) = -538", "Multiply: -86 * (-538) = 46268", "Divide: 36 / 5 = 36/5", "Add: 46268 + 36/5 = 231376/5"], "final_answer": "231376/5", "answer_type": "rational", "kind": "expression", "math_text": "-86 * (96 + 0 + (-634)) + 36 / 5", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ (+ n n) n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": 96, \"c\": 0, \"d\": -634, \"e\": 36, \"f\": 5}", "seed": "16886332819306215173", "semantic_fingerprint": "sha256:16a0eccfb7a92d4a790a9775a7bea65c48e351f050453f420171b8684b7ce255", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002760", "prompt": "Solve the equation 11(x + 549) + 20 = -12(x + 811) - 885 for x.", "solution_steps": ["Expand: 11x + 6039 + 20 = -12(x + 811) - 885", "Expand: 11x + 6039 + 20 = -12x - 9732 - 885", "Combine constants: 11x + 6059 = -12x - 9732 - 885", "Combine constants: 11x + 6059 = -12x - 10617", "Add 12x to both sides: 23x + 6059 = -10617", "Subtract 6059 from both sides: 23x = -16676", "Divide both sides by 23: x = -16676/23"], "final_answer": "-16676/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 549) + 20 = -12(x + 811) - 885", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 549, \"c\": 20, \"d\": -12, \"e\": 811, \"f\": 885}", "seed": "4946317639204700831", "semantic_fingerprint": "sha256:ebc32d9f18144b263b381d41981ffe46f03865ed410062b770ba6dd3a17d61c6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002761", "prompt": "Compute: (-59 - 44) * (4 * (-64))", "solution_steps": ["Subtract: -59 - 44 = -103", "Multiply: 4 * (-64) = -256", "Multiply: -103 * (-256) = 26368"], "final_answer": "26368", "answer_type": "integer", "kind": "expression", "math_text": "(-59 - 44) * (4 * (-64))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": 44, \"c\": 4, \"d\": -64}", "seed": "16687033542692428642", "semantic_fingerprint": "sha256:d724ca805aa6966a12f90e4f93fbec39b1b53da0ba568bd08dc88b607de6784d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002762", "prompt": "Solve for x: 11(x + 91) + 82 = 10(x + 7) - 2", "solution_steps": ["Expand: 11x + 1001 + 82 = 10(x + 7) - 2", "Expand: 11x + 1001 + 82 = 10x + 70 - 2", "Combine constants: 11x + 1083 = 10x + 70 - 2", "Combine constants: 11x + 1083 = 10x + 68", "Subtract 10x from both sides: x + 1083 = 68", "Subtract 1083 from both sides: x = -1015"], "final_answer": "-1015", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 91) + 82 = 10(x + 7) - 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 91, \"c\": 82, \"d\": 10, \"e\": 7, \"f\": 2}", "seed": "10881338140012674318", "semantic_fingerprint": "sha256:cf58d6c21b7f4948574cc213cc3f1bb2345ceb84c8761fa5f621654aba702e0c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002763", "prompt": "Calculate: -4 * (-3) + (-338) * (-2) / (-89)", "solution_steps": ["Multiply: -4 * (-3) = 12", "Multiply: -338 * (-2) = 676", "Divide: 676 / (-89) = -676/89", "Add: 12 + (-676/89) = 392/89"], "final_answer": "392/89", "answer_type": "rational", "kind": "expression", "math_text": "-4 * (-3) + (-338) * (-2) / (-89)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -3, \"c\": -338, \"d\": -2, \"e\": -89}", "seed": "2188030016175868307", "semantic_fingerprint": "sha256:5dc3dfb2f8b1c2d0d1a96422439889c89bd7767050ec838c9159b5615faad455", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002764", "prompt": "What is (77 - 6) / (7 * 6)?", "solution_steps": ["Subtract: 77 - 6 = 71", "Multiply: 7 * 6 = 42", "Divide: 71 / 42 = 71/42"], "final_answer": "71/42", "answer_type": "rational", "kind": "expression", "math_text": "(77 - 6) / (7 * 6)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 6, \"c\": 7, \"d\": 6}", "seed": "1119383511286371259", "semantic_fingerprint": "sha256:b85e429d0c10afbaba0e9847c90345627f6cf18f6cfabdfd0b978352b39cb872", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002765", "prompt": "What is -3 / (-20 * 3) - (-7)?", "solution_steps": ["Multiply: -20 * 3 = -60", "Divide: -3 / (-60) = 1/20", "Subtract: 1/20 - (-7) = 141/20"], "final_answer": "141/20", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-20 * 3) - (-7)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -20, \"c\": 3, \"d\": -7}", "seed": "15819665263803442501", "semantic_fingerprint": "sha256:bad04547d1886591ec89d15a1765238fb3c6420400f7ed72e5123c8a5357cb92", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002766", "prompt": "Compute: -4 * (-33) / (102 + (-9 + (-88)) / 79)", "solution_steps": ["Multiply: -4 * (-33) = 132", "Add: -9 + (-88) = -97", "Divide: -97 / 79 = -97/79", "Add: 102 + (-97/79) = 7961/79", "Divide: 132 / (7961/79) = 10428/7961"], "final_answer": "10428/7961", "answer_type": "rational", "kind": "expression", "math_text": "-4 * (-33) / (102 + (-9 + (-88)) / 79)", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (+ n (/ (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -33, \"c\": 102, \"d\": -9, \"e\": -88, \"f\": 79}", "seed": "9077642861381881750", "semantic_fingerprint": "sha256:d5dc8746c988318f06d9dde37d48c59dca95864348fea549b7c12f543d33b69d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002767", "prompt": "Solve the equation 5(x - 37) + 8 = 3(x - 76) for x.", "solution_steps": ["Expand: 5x - 185 + 8 = 3(x - 76)", "Expand: 5x - 185 + 8 = 3x - 228", "Combine constants: 5x - 177 = 3x - 228", "Subtract 3x from both sides: 2x - 177 = -228", "Add 177 to both sides: 2x = -51", "Divide both sides by 2: x = -51/2"], "final_answer": "-51/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 37) + 8 = 3(x - 76)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 37, \"c\": 8, \"d\": 3, \"e\": 76}", "seed": "9548870738209869750", "semantic_fingerprint": "sha256:ab8b4b5630334a331db9ff95d1d6717fb713a91d50704add4133e222d0906b33", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002768", "prompt": "Find x: 8(x - 66) - 5 = 6(x - 4) - 497", "solution_steps": ["Expand: 8x - 528 - 5 = 6(x - 4) - 497", "Expand: 8x - 528 - 5 = 6x - 24 - 497", "Combine constants: 8x - 533 = 6x - 24 - 497", "Combine constants: 8x - 533 = 6x - 521", "Subtract 6x from both sides: 2x - 533 = -521", "Add 533 to both sides: 2x = 12", "Divide both sides by 2: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 66) - 5 = 6(x - 4) - 497", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 66, \"c\": 5, \"d\": 6, \"e\": 4, \"g\": -497, \"x\": 6}", "seed": "12645362337258264554", "semantic_fingerprint": "sha256:32fdd7cc8566094660da633dda324594a98343cd6ff114e54058b6274a9f051e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002769", "prompt": "What value of x satisfies -9(x + 611) + 2 = -10(x + 763) - 49?", "solution_steps": ["Expand: -9x - 5499 + 2 = -10(x + 763) - 49", "Expand: -9x - 5499 + 2 = -10x - 7630 - 49", "Combine constants: -9x - 5497 = -10x - 7630 - 49", "Combine constants: -9x - 5497 = -10x - 7679", "Add 10x to both sides: x - 5497 = -7679", "Add 5497 to both sides: x = -2182"], "final_answer": "-2182", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 611) + 2 = -10(x + 763) - 49", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 611, \"c\": 2, \"d\": -10, \"e\": 763, \"f\": 49}", "seed": "10626113979181770888", "semantic_fingerprint": "sha256:07539a13623a173ddb409c8b824ff60e4d56c9791c75b94be41e7dcf18a60c5d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002770", "prompt": "Compute: (65 - 1 + 175) * 26", "solution_steps": ["Subtract: 65 - 1 = 64", "Add: 64 + 175 = 239", "Multiply: 239 * 26 = 6214"], "final_answer": "6214", "answer_type": "integer", "kind": "expression", "math_text": "(65 - 1 + 175) * 26", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 1, \"c\": 175, \"d\": 26}", "seed": "5086621379830768435", "semantic_fingerprint": "sha256:64927e20ed9760b14714888ea90f9d82ad414886d1346f9f95c20dc8929ce685", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002771", "prompt": "Evaluate: -366 / 59 / (-16 - 3 + (-6))", "solution_steps": ["Divide: -366 / 59 = -366/59", "Subtract: -16 - 3 = -19", "Add: -19 + (-6) = -25", "Divide: (-366/59) / (-25) = 366/1475"], "final_answer": "366/1475", "answer_type": "rational", "kind": "expression", "math_text": "-366 / 59 / (-16 - 3 + (-6))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -366, \"b\": 59, \"c\": -16, \"d\": 3, \"e\": -6}", "seed": "8271741599605730162", "semantic_fingerprint": "sha256:47ded8706d5442abe2d75942b8a2458d51bbde9b2a1a547a0259c3c155320725", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002772", "prompt": "What value of x satisfies 3(x - 16) + 23 = 2x + 631?", "solution_steps": ["Expand: 3x - 48 + 23 = 2x + 631", "Combine constants: 3x - 25 = 2x + 631", "Subtract 2x from both sides: x - 25 = 631", "Add 25 to both sides: x = 656"], "final_answer": "656", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 16) + 23 = 2x + 631", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 16, \"c\": 23, \"d\": 2, \"e\": 631}", "seed": "2772633920947151806", "semantic_fingerprint": "sha256:1e9a7f20c415b164ca2caf3fe6d2b273053f3f54ff05ca5f5a2562e15498389d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002773", "prompt": "Evaluate: -56 * (-83) / (56 + 96)", "solution_steps": ["Multiply: -56 * (-83) = 4648", "Add: 56 + 96 = 152", "Divide: 4648 / 152 = 581/19"], "final_answer": "581/19", "answer_type": "rational", "kind": "expression", "math_text": "-56 * (-83) / (56 + 96)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": -83, \"c\": 56, \"d\": 96}", "seed": "12177014503409531930", "semantic_fingerprint": "sha256:d680f554e05404c8f045bea2cb03085a1af95dab52657d035d319c8b2a9746ed", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002774", "prompt": "Calculate: (-12 + (-30) - (-99) / 9) / (-85)", "solution_steps": ["Add: -12 + (-30) = -42", "Divide: -99 / 9 = -11", "Subtract: -42 - (-11) = -31", "Divide: -31 / (-85) = 31/85"], "final_answer": "31/85", "answer_type": "rational", "kind": "expression", "math_text": "(-12 + (-30) - (-99) / 9) / (-85)", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -30, \"c\": -99, \"d\": 9, \"e\": -85}", "seed": "5128038002583078050", "semantic_fingerprint": "sha256:08f27d9b0ee720460aa6e5a55e57042e99188cc6051ce21bf69dfc7493496a5f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002775", "prompt": "What is -99 - (68 - (-572 - 347))?", "solution_steps": ["Subtract: -572 - 347 = -919", "Subtract: 68 - (-919) = 987", "Subtract: -99 - 987 = -1086"], "final_answer": "-1086", "answer_type": "integer", "kind": "expression", "math_text": "-99 - (68 - (-572 - 347))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": 68, \"c\": -572, \"d\": 347}", "seed": "16066063151793115354", "semantic_fingerprint": "sha256:92439f0d6da1e7517d858a13c862491cc855e59c68a5510e3bc70b57234b7d15", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002776", "prompt": "Evaluate: -96 / (58 * 810) - 45", "solution_steps": ["Multiply: 58 * 810 = 46980", "Divide: -96 / 46980 = -8/3915", "Subtract: -8/3915 - 45 = -176183/3915"], "final_answer": "-176183/3915", "answer_type": "rational", "kind": "expression", "math_text": "-96 / (58 * 810) - 45", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": 58, \"c\": 810, \"d\": 45}", "seed": "2821287894830471246", "semantic_fingerprint": "sha256:174f1fdd2895a6ce3af67e89137820cc0ba17aaf9a23bfcf3dae0e23030d03f4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002777", "prompt": "Evaluate: 1 + (-7) - 38 + 9", "solution_steps": ["Add: 1 + (-7) = -6", "Subtract: -6 - 38 = -44", "Add: -44 + 9 = -35"], "final_answer": "-35", "answer_type": "integer", "kind": "expression", "math_text": "1 + (-7) - 38 + 9", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -7, \"c\": 38, \"d\": 9}", "seed": "16964706920717516865", "semantic_fingerprint": "sha256:67f752c8df2427898ecf266821d7c57620d4808b5a2065137ce817df8516511c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002778", "prompt": "Find x: -6(x + 45) + 53 = 8(x + 6) - 447", "solution_steps": ["Expand: -6x - 270 + 53 = 8(x + 6) - 447", "Expand: -6x - 270 + 53 = 8x + 48 - 447", "Combine constants: -6x - 217 = 8x + 48 - 447", "Combine constants: -6x - 217 = 8x - 399", "Subtract 8x from both sides: -14x - 217 = -399", "Add 217 to both sides: -14x = -182", "Divide both sides by -14: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 45) + 53 = 8(x + 6) - 447", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 45, \"c\": 53, \"d\": 8, \"e\": 6, \"g\": -447, \"x\": 13}", "seed": "11789927694598503637", "semantic_fingerprint": "sha256:16358cbb4c0b4032061c01d020ba204375358e539c879c09f50f3f3650a900cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002779", "prompt": "Calculate: (-572 + 505 + (-5)) * 933", "solution_steps": ["Add: -572 + 505 = -67", "Add: -67 + (-5) = -72", "Multiply: -72 * 933 = -67176"], "final_answer": "-67176", "answer_type": "integer", "kind": "expression", "math_text": "(-572 + 505 + (-5)) * 933", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -572, \"b\": 505, \"c\": -5, \"d\": 933}", "seed": "700222935573760082", "semantic_fingerprint": "sha256:4c1b1d8a2acd46e8bde11a93e43280d4554a1c3a928cc6603e19f9401132be68", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002780", "prompt": "Solve the equation 12(x - 34) + 368 = 4(x - 4) for x.", "solution_steps": ["Expand: 12x - 408 + 368 = 4(x - 4)", "Expand: 12x - 408 + 368 = 4x - 16", "Combine constants: 12x - 40 = 4x - 16", "Subtract 4x from both sides: 8x - 40 = -16", "Add 40 to both sides: 8x = 24", "Divide both sides by 8: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 34) + 368 = 4(x - 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 34, \"c\": 4, \"d\": 4, \"f\": 368, \"x\": 3}", "seed": "17162066333953750897", "semantic_fingerprint": "sha256:c61c1c9e67cb71d1733cce593d6426c9d247d07684512d814e9f3b41ba5c2e74", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002781", "prompt": "Calculate: 4 - (-58) * (-8) - (-13)", "solution_steps": ["Multiply: -58 * (-8) = 464", "Subtract: 4 - 464 = -460", "Subtract: -460 - (-13) = -447"], "final_answer": "-447", "answer_type": "integer", "kind": "expression", "math_text": "4 - (-58) * (-8) - (-13)", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -58, \"c\": -8, \"d\": -13}", "seed": "10652542412299868806", "semantic_fingerprint": "sha256:ca0e557f06fede0ba8e34f8241766b5b20fc42ff91508fae58e3bcb34c7380a7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002782", "prompt": "Find x: x - 5 = -3(x - 7) + 4", "solution_steps": ["Expand: x - 5 = -3x + 21 + 4", "Combine constants: x - 5 = -3x + 25", "Add 3x to both sides: 4x - 5 = 25", "Add 5 to both sides: 4x = 30", "Divide both sides by 4: x = 15/2"], "final_answer": "15/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5 = -3(x - 7) + 4", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -3, \"c\": 7, \"d\": 4}", "seed": "17681049468204381064", "semantic_fingerprint": "sha256:53f1574a15af7853c2b0e3ff9df38171543ba5d6efde794e0e8844fd45e584bd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002783", "prompt": "Evaluate: 6 - (-32) + (-7) + (-565) * 19", "solution_steps": ["Subtract: 6 - (-32) = 38", "Add: 38 + (-7) = 31", "Multiply: -565 * 19 = -10735", "Add: 31 + (-10735) = -10704"], "final_answer": "-10704", "answer_type": "integer", "kind": "expression", "math_text": "6 - (-32) + (-7) + (-565) * 19", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -32, \"c\": -7, \"d\": -565, \"e\": 19}", "seed": "11674080678812862626", "semantic_fingerprint": "sha256:71ea869bf4ca4c375bf1ba5bacb2d4c6371d33bc52134b2f4dc0999e81389e50", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002784", "prompt": "What is -684 * (66 - 1 * 1 + (-169))?", "solution_steps": ["Multiply: 1 * 1 = 1", "Subtract: 66 - 1 = 65", "Add: 65 + (-169) = -104", "Multiply: -684 * (-104) = 71136"], "final_answer": "71136", "answer_type": "integer", "kind": "expression", "math_text": "-684 * (66 - 1 * 1 + (-169))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (- n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -684, \"b\": 66, \"c\": 1, \"d\": 1, \"e\": -169}", "seed": "2566471616976402892", "semantic_fingerprint": "sha256:32f7353863091f99c90cd974fa6f8e9b1d40c0c79577598d16f881c20e9985d4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002785", "prompt": "Calculate: -137 / (-46 / (6 * (-112)))", "solution_steps": ["Multiply: 6 * (-112) = -672", "Divide: -46 / (-672) = 23/336", "Divide: -137 / (23/336) = -46032/23"], "final_answer": "-46032/23", "answer_type": "rational", "kind": "expression", "math_text": "-137 / (-46 / (6 * (-112)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -137, \"b\": -46, \"c\": 6, \"d\": -112}", "seed": "10453321550575292132", "semantic_fingerprint": "sha256:f004709798a93d73057eab4cbb3beef95d2b67b1f6f04f356f3ee891cbe76602", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002786", "prompt": "What value of x satisfies 2(x - 73) + 72 = -6(x + 4) - 32?", "solution_steps": ["Expand: 2x - 146 + 72 = -6(x + 4) - 32", "Expand: 2x - 146 + 72 = -6x - 24 - 32", "Combine constants: 2x - 74 = -6x - 24 - 32", "Combine constants: 2x - 74 = -6x - 56", "Add 6x to both sides: 8x - 74 = -56", "Add 74 to both sides: 8x = 18", "Divide both sides by 8: x = 9/4"], "final_answer": "9/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 73) + 72 = -6(x + 4) - 32", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 73, \"c\": 72, \"d\": -6, \"e\": 4, \"f\": 32}", "seed": "262799012630753588", "semantic_fingerprint": "sha256:131f9bf644785fb087944383fdee1216c7cd1d6a06be009dc59abdaabfcaac41", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002787", "prompt": "What is 51 - 34 + 9 * (-2 + 915)?", "solution_steps": ["Subtract: 51 - 34 = 17", "Add: -2 + 915 = 913", "Multiply: 9 * 913 = 8217", "Add: 17 + 8217 = 8234"], "final_answer": "8234", "answer_type": "integer", "kind": "expression", "math_text": "51 - 34 + 9 * (-2 + 915)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 34, \"c\": 9, \"d\": -2, \"e\": 915}", "seed": "14175990602670136330", "semantic_fingerprint": "sha256:9bfffd7843f749405760b4bc7dae0a722f824de412f160105fcae145d667a148", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002788", "prompt": "Solve for x: 11(x - 9) + 3 = -6x + 108", "solution_steps": ["Expand: 11x - 99 + 3 = -6x + 108", "Combine constants: 11x - 96 = -6x + 108", "Add 6x to both sides: 17x - 96 = 108", "Add 96 to both sides: 17x = 204", "Divide both sides by 17: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 9) + 3 = -6x + 108", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9, \"c\": 3, \"d\": -6, \"f\": 108, \"x\": 12}", "seed": "7004800222834555476", "semantic_fingerprint": "sha256:e861fb27650c8bb04d136dcbf5f42a043a63b4098b6d0cc1e78dc984b23b98fc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002789", "prompt": "Solve for x: -11x - 70 = -7(x + 13) + 21", "solution_steps": ["Expand: -11x - 70 = -7x - 91 + 21", "Combine constants: -11x - 70 = -7x - 70", "Add 7x to both sides: -4x - 70 = -70", "Add 70 to both sides: -4x = 0", "Divide both sides by -4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 70 = -7(x + 13) + 21", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 70, \"c\": -7, \"d\": 13, \"f\": 21, \"x\": 0}", "seed": "5947886182112552824", "semantic_fingerprint": "sha256:aa646a24ab8d2bc411481f2848b0fde60f6f02b82db46d7171904b3160ef8466", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002790", "prompt": "Find x: 9(x - 51) + 66 = -8(x + 4) - 8", "solution_steps": ["Expand: 9x - 459 + 66 = -8(x + 4) - 8", "Expand: 9x - 459 + 66 = -8x - 32 - 8", "Combine constants: 9x - 393 = -8x - 32 - 8", "Combine constants: 9x - 393 = -8x - 40", "Add 8x to both sides: 17x - 393 = -40", "Add 393 to both sides: 17x = 353", "Divide both sides by 17: x = 353/17"], "final_answer": "353/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 51) + 66 = -8(x + 4) - 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 51, \"c\": 66, \"d\": -8, \"e\": 4, \"f\": 8}", "seed": "8440028968807895193", "semantic_fingerprint": "sha256:c47ace33e48defc0e72fe57f0ca8ad0b9803d8971ee15f35d6c2fb346184317f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002791", "prompt": "What value of x satisfies 10(x - 56) + 88 = -3(x + 843) - 3?", "solution_steps": ["Expand: 10x - 560 + 88 = -3(x + 843) - 3", "Expand: 10x - 560 + 88 = -3x - 2529 - 3", "Combine constants: 10x - 472 = -3x - 2529 - 3", "Combine constants: 10x - 472 = -3x - 2532", "Add 3x to both sides: 13x - 472 = -2532", "Add 472 to both sides: 13x = -2060", "Divide both sides by 13: x = -2060/13"], "final_answer": "-2060/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 56) + 88 = -3(x + 843) - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 56, \"c\": 88, \"d\": -3, \"e\": 843, \"f\": 3}", "seed": "13892242230232084918", "semantic_fingerprint": "sha256:75f4cb38af17eb2453c17dd7963abe8493ba99fa25f90a8871d9ee9450b550c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002792", "prompt": "What is 2 + 1 / (-87) + (-443) * (-3)?", "solution_steps": ["Divide: 1 / (-87) = -1/87", "Add: 2 + (-1/87) = 173/87", "Multiply: -443 * (-3) = 1329", "Add: 173/87 + 1329 = 115796/87"], "final_answer": "115796/87", "answer_type": "rational", "kind": "expression", "math_text": "2 + 1 / (-87) + (-443) * (-3)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 1, \"c\": -87, \"d\": -443, \"e\": -3}", "seed": "12994445145251657399", "semantic_fingerprint": "sha256:0dbfa0ce7297bb413389586eeb298abdd0f25f107719361b2140d0cd92d508cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002793", "prompt": "What value of x satisfies x - 9 = 10(x - 6) + 9?", "solution_steps": ["Expand: x - 9 = 10x - 60 + 9", "Combine constants: x - 9 = 10x - 51", "Subtract 10x from both sides: -9x - 9 = -51", "Add 9 to both sides: -9x = -42", "Divide both sides by -9: x = 14/3"], "final_answer": "14/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 9 = 10(x - 6) + 9", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 10, \"c\": 6, \"d\": 9}", "seed": "4084973355489656459", "semantic_fingerprint": "sha256:9ab9185099737101b875bc36fcb3474c4782f70399d0f8e99253e07644dcca39", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002794", "prompt": "What is (647 + (-323) + 64) * (-5)?", "solution_steps": ["Add: 647 + (-323) = 324", "Add: 324 + 64 = 388", "Multiply: 388 * (-5) = -1940"], "final_answer": "-1940", "answer_type": "integer", "kind": "expression", "math_text": "(647 + (-323) + 64) * (-5)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 647, \"b\": -323, \"c\": 64, \"d\": -5}", "seed": "6769910548577013379", "semantic_fingerprint": "sha256:ea1b1372e2837e95ffdcd481aab598fc48574c52bace3acd6d5a7d012af8cba5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002795", "prompt": "Evaluate: (-6 - 46) / (-93) - (852 - 0)", "solution_steps": ["Subtract: -6 - 46 = -52", "Divide: -52 / (-93) = 52/93", "Subtract: 852 - 0 = 852", "Subtract: 52/93 - 852 = -79184/93"], "final_answer": "-79184/93", "answer_type": "rational", "kind": "expression", "math_text": "(-6 - 46) / (-93) - (852 - 0)", "variable": null, "family": "expression_4op", "shape": "(- (/ (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 46, \"c\": -93, \"d\": 852, \"e\": 0}", "seed": "10553799351193192257", "semantic_fingerprint": "sha256:518708d3bb6f83f26a2eb7986845090b3c689de0eeb78633b52e4e2e822593a7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002796", "prompt": "Solve for x: -12(x - 6) + 556 = -4(x - 145)", "solution_steps": ["Expand: -12x + 72 + 556 = -4(x - 145)", "Expand: -12x + 72 + 556 = -4x + 580", "Combine constants: -12x + 628 = -4x + 580", "Add 4x to both sides: -8x + 628 = 580", "Subtract 628 from both sides: -8x = -48", "Divide both sides by -8: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 6) + 556 = -4(x - 145)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 6, \"c\": -4, \"d\": 145, \"f\": 556, \"x\": 6}", "seed": "13900001459210581873", "semantic_fingerprint": "sha256:61d586db1eda9c6235a30f16bfa0e6e4f45fa2a985db20f74dcaefcd087b5a5d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002797", "prompt": "Compute: 60 / (8 * 1) - (-9)", "solution_steps": ["Multiply: 8 * 1 = 8", "Divide: 60 / 8 = 15/2", "Subtract: 15/2 - (-9) = 33/2"], "final_answer": "33/2", "answer_type": "rational", "kind": "expression", "math_text": "60 / (8 * 1) - (-9)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 8, \"c\": 1, \"d\": -9}", "seed": "1593704546726783914", "semantic_fingerprint": "sha256:8db29091ee6791274bee4f61c42846c3d45bcc0677a97cac1a52b953a761e447", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002798", "prompt": "What value of x satisfies 4(x - 9) = 5x - 16?", "solution_steps": ["Expand: 4x - 36 = 5x - 16", "Subtract 5x from both sides: -x - 36 = -16", "Add 36 to both sides: -x = 20", "Divide both sides by -1: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 9) = 5x - 16", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 5, \"e\": -16, \"x\": -20}", "seed": "13338869246103666621", "semantic_fingerprint": "sha256:1b7fc843c8ca8979c77646a7291cd758864263bd25a1192409218e360c7cd2fe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002799", "prompt": "Solve the equation 12(x - 90) = -2x - 66 for x.", "solution_steps": ["Expand: 12x - 1080 = -2x - 66", "Add 2x to both sides: 14x - 1080 = -66", "Add 1080 to both sides: 14x = 1014", "Divide both sides by 14: x = 507/7"], "final_answer": "507/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 90) = -2x - 66", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 90, \"c\": -2, \"d\": 66}", "seed": "2835363279631434487", "semantic_fingerprint": "sha256:df674811f5e84ac3eae060b58156940888fba9a3bb5a1ec867ffb660e22f8d3c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002800", "prompt": "Compute: 57 + ((76 + (-156)) * (-875) + (-69))", "solution_steps": ["Add: 76 + (-156) = -80", "Multiply: -80 * (-875) = 70000", "Add: 70000 + (-69) = 69931", "Add: 57 + 69931 = 69988"], "final_answer": "69988", "answer_type": "integer", "kind": "expression", "math_text": "57 + ((76 + (-156)) * (-875) + (-69))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": 76, \"c\": -156, \"d\": -875, \"e\": -69}", "seed": "8469222902623232199", "semantic_fingerprint": "sha256:d5f417951239c2211ea2bb70a303b92de9d7f1a4bb0bbac59f95568fc696d4bb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002801", "prompt": "Compute: -8 - (-74) / (7 * 69)", "solution_steps": ["Multiply: 7 * 69 = 483", "Divide: -74 / 483 = -74/483", "Subtract: -8 - (-74/483) = -3790/483"], "final_answer": "-3790/483", "answer_type": "rational", "kind": "expression", "math_text": "-8 - (-74) / (7 * 69)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -74, \"c\": 7, \"d\": 69}", "seed": "1193061298187734289", "semantic_fingerprint": "sha256:92e63ed2a396902e0d83d608d9979eb795f5a52e1909464d6a7ddfb0ddaf5b55", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002802", "prompt": "Calculate: 70 + (-5 * (-24) - 516)", "solution_steps": ["Multiply: -5 * (-24) = 120", "Subtract: 120 - 516 = -396", "Add: 70 + (-396) = -326"], "final_answer": "-326", "answer_type": "integer", "kind": "expression", "math_text": "70 + (-5 * (-24) - 516)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -5, \"c\": -24, \"d\": 516}", "seed": "14393283449353949403", "semantic_fingerprint": "sha256:3512353ec4d266d55b6837ca41bf9fd8b5b7ba23112c936e09a3eb6d0877873a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002803", "prompt": "What is (-226 + 51 - 16) * (-2 + 6)?", "solution_steps": ["Add: -226 + 51 = -175", "Subtract: -175 - 16 = -191", "Add: -2 + 6 = 4", "Multiply: -191 * 4 = -764"], "final_answer": "-764", "answer_type": "integer", "kind": "expression", "math_text": "(-226 + 51 - 16) * (-2 + 6)", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -226, \"b\": 51, \"c\": 16, \"d\": -2, \"e\": 6}", "seed": "18199047337737764225", "semantic_fingerprint": "sha256:2a32f1a3d515f6818b15fa3178d7c7506990d08b75c578c07486d58c310363aa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002804", "prompt": "Compute: -55 + (-7) - 5 + 9", "solution_steps": ["Add: -55 + (-7) = -62", "Subtract: -62 - 5 = -67", "Add: -67 + 9 = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "expression", "math_text": "-55 + (-7) - 5 + 9", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": -7, \"c\": 5, \"d\": 9}", "seed": "12730438067643787369", "semantic_fingerprint": "sha256:ecb9223240eec4654df7dd1209e63e7a897fbdadcda07e475ca8199db17db6b7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002805", "prompt": "Evaluate: -5 - (46 - (39 - 6))", "solution_steps": ["Subtract: 39 - 6 = 33", "Subtract: 46 - 33 = 13", "Subtract: -5 - 13 = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "expression", "math_text": "-5 - (46 - (39 - 6))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 46, \"c\": 39, \"d\": 6}", "seed": "13016305082298973105", "semantic_fingerprint": "sha256:8fd1d95ef5e46c6f7f1de2e593232a29768e8b992dd0096d8a9209504c6a9425", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002806", "prompt": "What is (-113 - (-53)) / (-11 * (-58))?", "solution_steps": ["Subtract: -113 - (-53) = -60", "Multiply: -11 * (-58) = 638", "Divide: -60 / 638 = -30/319"], "final_answer": "-30/319", "answer_type": "rational", "kind": "expression", "math_text": "(-113 - (-53)) / (-11 * (-58))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -113, \"b\": -53, \"c\": -11, \"d\": -58}", "seed": "14112540206400371006", "semantic_fingerprint": "sha256:0dd3083239349cc4d1740a51b06e983d7d841115ad8385050a67892f44b1290f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002807", "prompt": "Evaluate: (43 + 44) / (-861 / 5)", "solution_steps": ["Add: 43 + 44 = 87", "Divide: -861 / 5 = -861/5", "Divide: 87 / (-861/5) = -145/287"], "final_answer": "-145/287", "answer_type": "rational", "kind": "expression", "math_text": "(43 + 44) / (-861 / 5)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": 44, \"c\": -861, \"d\": 5}", "seed": "14255433092296723693", "semantic_fingerprint": "sha256:d78f2ecd5d1c0abc9d3c79f175ae31bca116ec5a636b13c69255a8e80197f105", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002808", "prompt": "Compute: -99 + (-4 - 5 * 666 + (-12) / (-8))", "solution_steps": ["Multiply: 5 * 666 = 3330", "Subtract: -4 - 3330 = -3334", "Divide: -12 / (-8) = 3/2", "Add: -3334 + 3/2 = -6665/2", "Add: -99 + (-6665/2) = -6863/2"], "final_answer": "-6863/2", "answer_type": "rational", "kind": "expression", "math_text": "-99 + (-4 - 5 * 666 + (-12) / (-8))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (- n (* n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -4, \"c\": 5, \"d\": 666, \"e\": -12, \"f\": -8}", "seed": "15699535871232650705", "semantic_fingerprint": "sha256:a6f0f9485380e7e43eca7758d4e5e1f7af30181367d9cae5da8742d895eadd8b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002809", "prompt": "Calculate: -171 * (-49) / (-74) / (-3)", "solution_steps": ["Multiply: -171 * (-49) = 8379", "Divide: 8379 / (-74) = -8379/74", "Divide: (-8379/74) / (-3) = 2793/74"], "final_answer": "2793/74", "answer_type": "rational", "kind": "expression", "math_text": "-171 * (-49) / (-74) / (-3)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -171, \"b\": -49, \"c\": -74, \"d\": -3}", "seed": "12968830519568499737", "semantic_fingerprint": "sha256:ebe07edb48ff5944e3a861eeaed04af6f81d9ff6b688fac28138b8bb17cc3c2f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002810", "prompt": "Find x: 5(x - 2) = 2x - 1", "solution_steps": ["Expand: 5x - 10 = 2x - 1", "Subtract 2x from both sides: 3x - 10 = -1", "Add 10 to both sides: 3x = 9", "Divide both sides by 3: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 2) = 2x - 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 2, \"d\": 1}", "seed": "17662172743873857303", "semantic_fingerprint": "sha256:291fcadaf827ebe6b580ca5f16691507e55e58161bf06a9db1507b6b639addbd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002811", "prompt": "Compute: -4 - (4 * (-32) + 1)", "solution_steps": ["Multiply: 4 * (-32) = -128", "Add: -128 + 1 = -127", "Subtract: -4 - (-127) = 123"], "final_answer": "123", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (4 * (-32) + 1)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 4, \"c\": -32, \"d\": 1}", "seed": "5849387274979240448", "semantic_fingerprint": "sha256:7a0b9c928fe938fcbd1107060682f7a3577c25c00493b372c037394b68ae97b8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002812", "prompt": "What is 9 + (-26) / (-43) / (-37)?", "solution_steps": ["Divide: -26 / (-43) = 26/43", "Divide: (26/43) / (-37) = -26/1591", "Add: 9 + (-26/1591) = 14293/1591"], "final_answer": "14293/1591", "answer_type": "rational", "kind": "expression", "math_text": "9 + (-26) / (-43) / (-37)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -26, \"c\": -43, \"d\": -37}", "seed": "5226994041919838617", "semantic_fingerprint": "sha256:61c62fcf66af28233da7516452d0856936a5c6c5a70b1cec45524da5f35cce90", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002813", "prompt": "Compute: (2 + (-9) * (-77)) / (-3 * 89)", "solution_steps": ["Multiply: -9 * (-77) = 693", "Add: 2 + 693 = 695", "Multiply: -3 * 89 = -267", "Divide: 695 / (-267) = -695/267"], "final_answer": "-695/267", "answer_type": "rational", "kind": "expression", "math_text": "(2 + (-9) * (-77)) / (-3 * 89)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -9, \"c\": -77, \"d\": -3, \"e\": 89}", "seed": "16283427483821488845", "semantic_fingerprint": "sha256:752c506472e3f349c9f34a40d957b16a9529cf0ceeabaa6e55c9c5fd2f62dc0f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002814", "prompt": "Evaluate: 99 + 5 - (0 + (-64))", "solution_steps": ["Add: 99 + 5 = 104", "Add: 0 + (-64) = -64", "Subtract: 104 - (-64) = 168"], "final_answer": "168", "answer_type": "integer", "kind": "expression", "math_text": "99 + 5 - (0 + (-64))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": 5, \"c\": 0, \"d\": -64}", "seed": "13578325363489163720", "semantic_fingerprint": "sha256:0ef2f70b59ab611639bd8e5b4f82714e4b9a62ac58855c11f5ecf0555151b54f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002815", "prompt": "Evaluate: -81 - (19 * (-8) - (-807)) + 6 + (-520)", "solution_steps": ["Multiply: 19 * (-8) = -152", "Subtract: -152 - (-807) = 655", "Subtract: -81 - 655 = -736", "Add: -736 + 6 = -730", "Add: -730 + (-520) = -1250"], "final_answer": "-1250", "answer_type": "integer", "kind": "expression", "math_text": "-81 - (19 * (-8) - (-807)) + 6 + (-520)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n (- (* n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 19, \"c\": -8, \"d\": -807, \"e\": 6, \"f\": -520}", "seed": "11092957866983889252", "semantic_fingerprint": "sha256:b7199c2ebbc1e4b053cfd8813e2799463d4a8319809ee596f4d2feeeb2f1a778", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002816", "prompt": "What value of x satisfies 6(x - 3) = 12x - 102?", "solution_steps": ["Expand: 6x - 18 = 12x - 102", "Subtract 12x from both sides: -6x - 18 = -102", "Add 18 to both sides: -6x = -84", "Divide both sides by -6: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 3) = 12x - 102", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 12, \"e\": -102, \"x\": 14}", "seed": "11162461162889579755", "semantic_fingerprint": "sha256:8d916efc21419afd1bb09306d604240a9ba001d869767093e1d4540662ff4669", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002817", "prompt": "Find x: 4(x + 1) - 94 = x - 90", "solution_steps": ["Expand: 4x + 4 - 94 = x - 90", "Combine constants: 4x - 90 = x - 90", "Subtract x from both sides: 3x - 90 = -90", "Add 90 to both sides: 3x = 0", "Divide both sides by 3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 1) - 94 = x - 90", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 94, \"e\": -90, \"x\": 0}", "seed": "16930745374452456392", "semantic_fingerprint": "sha256:ddc078074bf078216219308ee6a8f61ff92d1186bfc215549523639d5cdca6c1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002818", "prompt": "Solve the equation 2(x - 3) - 50 = 4(x - 531) - 6 for x.", "solution_steps": ["Expand: 2x - 6 - 50 = 4(x - 531) - 6", "Expand: 2x - 6 - 50 = 4x - 2124 - 6", "Combine constants: 2x - 56 = 4x - 2124 - 6", "Combine constants: 2x - 56 = 4x - 2130", "Subtract 4x from both sides: -2x - 56 = -2130", "Add 56 to both sides: -2x = -2074", "Divide both sides by -2: x = 1037"], "final_answer": "1037", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 3) - 50 = 4(x - 531) - 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 50, \"d\": 4, \"e\": 531, \"f\": 6}", "seed": "11065763337804524626", "semantic_fingerprint": "sha256:c0954a1313a5ebb7d3bd14f1ab1e9bcaf4c488abde0fcef4b36edeab62cfa1ef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002819", "prompt": "Calculate: (83 + (-8)) / (-8 / 181)", "solution_steps": ["Add: 83 + (-8) = 75", "Divide: -8 / 181 = -8/181", "Divide: 75 / (-8/181) = -13575/8"], "final_answer": "-13575/8", "answer_type": "rational", "kind": "expression", "math_text": "(83 + (-8)) / (-8 / 181)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": -8, \"c\": -8, \"d\": 181}", "seed": "9742575234788148552", "semantic_fingerprint": "sha256:c36f610b8caec60021405e681ad34491a74247e864390f19a244f7611ed5323e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002820", "prompt": "Compute: (16 + (-441)) / (9 * (3 / 5)) * (-3)", "solution_steps": ["Add: 16 + (-441) = -425", "Divide: 3 / 5 = 3/5", "Multiply: 9 * (3/5) = 27/5", "Divide: -425 / (27/5) = -2125/27", "Multiply: (-2125/27) * (-3) = 2125/9"], "final_answer": "2125/9", "answer_type": "rational", "kind": "expression", "math_text": "(16 + (-441)) / (9 * (3 / 5)) * (-3)", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ n n) (* n (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": -441, \"c\": 9, \"d\": 3, \"e\": 5, \"f\": -3}", "seed": "16405442699394109287", "semantic_fingerprint": "sha256:7c13e51a4b34eae6c695b040f4157f1cba10910148aaf209e974ee90707c0495", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002821", "prompt": "Compute: -3 + (-4) + (-5) - 0 / 262", "solution_steps": ["Add: -3 + (-4) = -7", "Add: -7 + (-5) = -12", "Divide: 0 / 262 = 0", "Subtract: -12 - 0 = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (-4) + (-5) - 0 / 262", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -4, \"c\": -5, \"d\": 0, \"e\": 262}", "seed": "18245313379231562352", "semantic_fingerprint": "sha256:dc82f6497fd09dea3f5992ed9fb7e9d6832ccb1454fac87da89c9a6cad2e9ebb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002822", "prompt": "Calculate: 72 / (-862) + (-573) / 7", "solution_steps": ["Divide: 72 / (-862) = -36/431", "Divide: -573 / 7 = -573/7", "Add: -36/431 + (-573/7) = -247215/3017"], "final_answer": "-247215/3017", "answer_type": "rational", "kind": "expression", "math_text": "72 / (-862) + (-573) / 7", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": -862, \"c\": -573, \"d\": 7}", "seed": "13357563573333721825", "semantic_fingerprint": "sha256:dce237bb164ad670f2155a2158d70892984e913d4ecb5dae0fa3b56ec4e361f2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002823", "prompt": "Calculate: -34 + 23 - (-875) / (-36 - (-87))", "solution_steps": ["Add: -34 + 23 = -11", "Subtract: -36 - (-87) = 51", "Divide: -875 / 51 = -875/51", "Subtract: -11 - (-875/51) = 314/51"], "final_answer": "314/51", "answer_type": "rational", "kind": "expression", "math_text": "-34 + 23 - (-875) / (-36 - (-87))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": 23, \"c\": -875, \"d\": -36, \"e\": -87}", "seed": "14688699410925327265", "semantic_fingerprint": "sha256:74e321c8c53c14666efa58e02f82587d5450a4713597323f201b15f4969cb422", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002824", "prompt": "Find x: -4(x - 60) + 4 = 11x + 124", "solution_steps": ["Expand: -4x + 240 + 4 = 11x + 124", "Combine constants: -4x + 244 = 11x + 124", "Subtract 11x from both sides: -15x + 244 = 124", "Subtract 244 from both sides: -15x = -120", "Divide both sides by -15: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 60) + 4 = 11x + 124", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 60, \"c\": 4, \"d\": 11, \"f\": 124, \"x\": 8}", "seed": "6565587312620081755", "semantic_fingerprint": "sha256:d84a536514d0bfa71ad80df591af6c0575eb14f9bca2807d15318b45c488e998", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002825", "prompt": "What value of x satisfies 2(x - 8) + 28 = 11(x + 51) - 684?", "solution_steps": ["Expand: 2x - 16 + 28 = 11(x + 51) - 684", "Expand: 2x - 16 + 28 = 11x + 561 - 684", "Combine constants: 2x + 12 = 11x + 561 - 684", "Combine constants: 2x + 12 = 11x - 123", "Subtract 11x from both sides: -9x + 12 = -123", "Subtract 12 from both sides: -9x = -135", "Divide both sides by -9: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 8) + 28 = 11(x + 51) - 684", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 28, \"d\": 11, \"e\": 51, \"g\": -684, \"x\": 15}", "seed": "12232165580428137354", "semantic_fingerprint": "sha256:f14221bf3d8445bdfa2bddeeccc75562c52857cce3a1da7b7439655bd59d1f4e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002826", "prompt": "What is -65 * (-392 * (-7 * (-96 / 637)))?", "solution_steps": ["Divide: -96 / 637 = -96/637", "Multiply: -7 * (-96/637) = 96/91", "Multiply: -392 * (96/91) = -5376/13", "Multiply: -65 * (-5376/13) = 26880"], "final_answer": "26880", "answer_type": "integer", "kind": "expression", "math_text": "-65 * (-392 * (-7 * (-96 / 637)))", "variable": null, "family": "expression_4op", "shape": "(* n (* n (* n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -392, \"c\": -7, \"d\": -96, \"e\": 637}", "seed": "10935122648727226814", "semantic_fingerprint": "sha256:ea65f03c3e1e6950dc7d751ad3691d2003cb7e59ab85a237c818abdd7f7713e7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002827", "prompt": "Solve the equation -4(x - 40) + 17 = -3x + 161 for x.", "solution_steps": ["Expand: -4x + 160 + 17 = -3x + 161", "Combine constants: -4x + 177 = -3x + 161", "Add 3x to both sides: -x + 177 = 161", "Subtract 177 from both sides: -x = -16", "Divide both sides by -1: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 40) + 17 = -3x + 161", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 40, \"c\": 17, \"d\": -3, \"f\": 161, \"x\": 16}", "seed": "16235141622934789404", "semantic_fingerprint": "sha256:abab71b3e73cb3913f84ed806397f3eae29b36c30a43f2df0b5860bbbff06a3c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002828", "prompt": "Evaluate: -58 * ((-4 - (-6)) * (-6)) + 444", "solution_steps": ["Subtract: -4 - (-6) = 2", "Multiply: 2 * (-6) = -12", "Multiply: -58 * (-12) = 696", "Add: 696 + 444 = 1140"], "final_answer": "1140", "answer_type": "integer", "kind": "expression", "math_text": "-58 * ((-4 - (-6)) * (-6)) + 444", "variable": null, "family": "expression_4op", "shape": "(+ (* n (* (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": -4, \"c\": -6, \"d\": -6, \"e\": 444}", "seed": "11911676126344886734", "semantic_fingerprint": "sha256:20d0cec9da182cb1ce11c7a494d24ed2d07521c6175f7ff0b1221de42fa123c1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002829", "prompt": "What is (-6 + 4 * 1) * (-17 - 0)?", "solution_steps": ["Multiply: 4 * 1 = 4", "Add: -6 + 4 = -2", "Subtract: -17 - 0 = -17", "Multiply: -2 * (-17) = 34"], "final_answer": "34", "answer_type": "integer", "kind": "expression", "math_text": "(-6 + 4 * 1) * (-17 - 0)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4, \"c\": 1, \"d\": -17, \"e\": 0}", "seed": "8616358999733110905", "semantic_fingerprint": "sha256:bc16047765e86caf17a16c2411ff6817420761f10b134f6e895f7a7d9c7516eb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002830", "prompt": "Evaluate: 57 - (6 * (-499 - 6) + (-854))", "solution_steps": ["Subtract: -499 - 6 = -505", "Multiply: 6 * (-505) = -3030", "Add: -3030 + (-854) = -3884", "Subtract: 57 - (-3884) = 3941"], "final_answer": "3941", "answer_type": "integer", "kind": "expression", "math_text": "57 - (6 * (-499 - 6) + (-854))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (* n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": 6, \"c\": -499, \"d\": 6, \"e\": -854}", "seed": "10420011780925593564", "semantic_fingerprint": "sha256:884e5a29fc9578dc7705f1d1a74cf33644c188d2c72f4a3fafd75e8b5dcb783f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002831", "prompt": "Calculate: 71 + 3 / (75 - 9)", "solution_steps": ["Subtract: 75 - 9 = 66", "Divide: 3 / 66 = 1/22", "Add: 71 + 1/22 = 1563/22"], "final_answer": "1563/22", "answer_type": "rational", "kind": "expression", "math_text": "71 + 3 / (75 - 9)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 3, \"c\": 75, \"d\": 9}", "seed": "16488771299199679900", "semantic_fingerprint": "sha256:9912915b7fcd62f82f65106023764bd198a30741725d3f325c0e8a194144f078", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002832", "prompt": "What is (88 + (-28) * (-46)) * (17 - (-36))?", "solution_steps": ["Multiply: -28 * (-46) = 1288", "Add: 88 + 1288 = 1376", "Subtract: 17 - (-36) = 53", "Multiply: 1376 * 53 = 72928"], "final_answer": "72928", "answer_type": "integer", "kind": "expression", "math_text": "(88 + (-28) * (-46)) * (17 - (-36))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": -28, \"c\": -46, \"d\": 17, \"e\": -36}", "seed": "16399383657902734463", "semantic_fingerprint": "sha256:8ebe2455629c8e66ac1e332070692e0b45d2bac4b6aa174314cf9aac02f7bfd6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002833", "prompt": "Evaluate: 114 * (-97) / (-2 + 955)", "solution_steps": ["Multiply: 114 * (-97) = -11058", "Add: -2 + 955 = 953", "Divide: -11058 / 953 = -11058/953"], "final_answer": "-11058/953", "answer_type": "rational", "kind": "expression", "math_text": "114 * (-97) / (-2 + 955)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 114, \"b\": -97, \"c\": -2, \"d\": 955}", "seed": "18356063991677594451", "semantic_fingerprint": "sha256:8d34a2b164e1648583ba2622c56547c69dbb7bdea99ea0911cec75f66e44e9fa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002834", "prompt": "Calculate: (-47 - (-14)) * (2 / (-11))", "solution_steps": ["Subtract: -47 - (-14) = -33", "Divide: 2 / (-11) = -2/11", "Multiply: -33 * (-2/11) = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "(-47 - (-14)) * (2 / (-11))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": -14, \"c\": 2, \"d\": -11}", "seed": "9398708040008271034", "semantic_fingerprint": "sha256:1b7c49374b7346270cce4a525ede7f42735f0a6952f3d4d48c35ca057e461b94", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002835", "prompt": "What is 337 * (76 / (-9) / 6)?", "solution_steps": ["Divide: 76 / (-9) = -76/9", "Divide: (-76/9) / 6 = -38/27", "Multiply: 337 * (-38/27) = -12806/27"], "final_answer": "-12806/27", "answer_type": "rational", "kind": "expression", "math_text": "337 * (76 / (-9) / 6)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 337, \"b\": 76, \"c\": -9, \"d\": 6}", "seed": "5020514484589191387", "semantic_fingerprint": "sha256:1c481e3b1497d22ca5b883bd67b46d3c9eec05c7568637fa81a11c182cddd7ad", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002836", "prompt": "Find x: 4(x - 29) - 4 = -12(x - 56) - 856", "solution_steps": ["Expand: 4x - 116 - 4 = -12(x - 56) - 856", "Expand: 4x - 116 - 4 = -12x + 672 - 856", "Combine constants: 4x - 120 = -12x + 672 - 856", "Combine constants: 4x - 120 = -12x - 184", "Add 12x to both sides: 16x - 120 = -184", "Add 120 to both sides: 16x = -64", "Divide both sides by 16: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 29) - 4 = -12(x - 56) - 856", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 29, \"c\": 4, \"d\": -12, \"e\": 56, \"g\": -856, \"x\": -4}", "seed": "7256934581889915401", "semantic_fingerprint": "sha256:db57efd0deea13d87a9ec1e171fe7361c4d199e096d8468dbef712bbd09a1079", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002837", "prompt": "Calculate: (-9 + 142) * (-77) - 239 / 80", "solution_steps": ["Add: -9 + 142 = 133", "Multiply: 133 * (-77) = -10241", "Divide: 239 / 80 = 239/80", "Subtract: -10241 - 239/80 = -819519/80"], "final_answer": "-819519/80", "answer_type": "rational", "kind": "expression", "math_text": "(-9 + 142) * (-77) - 239 / 80", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 142, \"c\": -77, \"d\": 239, \"e\": 80}", "seed": "9372825057885794445", "semantic_fingerprint": "sha256:958a12a1c940c68ec0fb9a81bf741e5c899a46b99e790bec8febe3aa664b5540", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002838", "prompt": "Compute: (-47 + 5) * (-577) * (5 / (-9))", "solution_steps": ["Add: -47 + 5 = -42", "Multiply: -42 * (-577) = 24234", "Divide: 5 / (-9) = -5/9", "Multiply: 24234 * (-5/9) = -40390/3"], "final_answer": "-40390/3", "answer_type": "rational", "kind": "expression", "math_text": "(-47 + 5) * (-577) * (5 / (-9))", "variable": null, "family": "expression_4op", "shape": "(* (* (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 5, \"c\": -577, \"d\": 5, \"e\": -9}", "seed": "7282911799479642751", "semantic_fingerprint": "sha256:09c3e379f431b3e7c39e10a5af155a2ae78bd7019fe8a51c08cc30d1de0eec23", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002839", "prompt": "Solve for x: 5(x - 34) = 12x - 282", "solution_steps": ["Expand: 5x - 170 = 12x - 282", "Subtract 12x from both sides: -7x - 170 = -282", "Add 170 to both sides: -7x = -112", "Divide both sides by -7: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 34) = 12x - 282", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 34, \"c\": 12, \"e\": -282, \"x\": 16}", "seed": "14089738346654679865", "semantic_fingerprint": "sha256:9ec3dca3b790c12bd9a076f2b750d86255a09f9bdf5f43a10488637e09d141b4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002840", "prompt": "What value of x satisfies 6(x - 8) - 137 = 7(x - 25)?", "solution_steps": ["Expand: 6x - 48 - 137 = 7(x - 25)", "Expand: 6x - 48 - 137 = 7x - 175", "Combine constants: 6x - 185 = 7x - 175", "Subtract 7x from both sides: -x - 185 = -175", "Add 185 to both sides: -x = 10", "Divide both sides by -1: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 8) - 137 = 7(x - 25)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 7, \"d\": 25, \"f\": -137, \"x\": -10}", "seed": "2717449709128546802", "semantic_fingerprint": "sha256:6a4785928198643cbfcaece4760876ba78615efc36815ad102d3a80a84ec00bb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002841", "prompt": "Calculate: 13 / (-39) + 6 / (-6)", "solution_steps": ["Divide: 13 / (-39) = -1/3", "Divide: 6 / (-6) = -1", "Add: -1/3 + (-1) = -4/3"], "final_answer": "-4/3", "answer_type": "rational", "kind": "expression", "math_text": "13 / (-39) + 6 / (-6)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -39, \"c\": 6, \"d\": -6}", "seed": "15812263814812846372", "semantic_fingerprint": "sha256:9b6299082e635ab406a3c5deac52e695faf4b6666d1281811c4c4cc41bc0be69", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002842", "prompt": "Compute: -3 / 45 + (-902) / 2", "solution_steps": ["Divide: -3 / 45 = -1/15", "Divide: -902 / 2 = -451", "Add: -1/15 + (-451) = -6766/15"], "final_answer": "-6766/15", "answer_type": "rational", "kind": "expression", "math_text": "-3 / 45 + (-902) / 2", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 45, \"c\": -902, \"d\": 2}", "seed": "3106126271672430475", "semantic_fingerprint": "sha256:66cb319287678cb65d2c2ecdb84861e8bcc953fe6ceba174e961482fbc907ab7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002843", "prompt": "Find x: 11(x - 5) = -12x - 469", "solution_steps": ["Expand: 11x - 55 = -12x - 469", "Add 12x to both sides: 23x - 55 = -469", "Add 55 to both sides: 23x = -414", "Divide both sides by 23: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 5) = -12x - 469", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": -12, \"e\": -469, \"x\": -18}", "seed": "7093918586165413223", "semantic_fingerprint": "sha256:cd03737c54d63ec21ec2a922d17ebda39dc6d07176604ac46883933ecf1f3ee7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002844", "prompt": "What is 7 * 7 / (-578) / (-13)?", "solution_steps": ["Multiply: 7 * 7 = 49", "Divide: 49 / (-578) = -49/578", "Divide: (-49/578) / (-13) = 49/7514"], "final_answer": "49/7514", "answer_type": "rational", "kind": "expression", "math_text": "7 * 7 / (-578) / (-13)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": -578, \"d\": -13}", "seed": "8081451507888307445", "semantic_fingerprint": "sha256:0db8aef1a4b96bfe351f79fe0e2dac05e85a8fd3153600b799647ed328bd7d93", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002845", "prompt": "Evaluate: -9 / (-43 / (-2 - (-6) - (-86)))", "solution_steps": ["Subtract: -2 - (-6) = 4", "Subtract: 4 - (-86) = 90", "Divide: -43 / 90 = -43/90", "Divide: -9 / (-43/90) = 810/43"], "final_answer": "810/43", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-43 / (-2 - (-6) - (-86)))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ n (- (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -43, \"c\": -2, \"d\": -6, \"e\": -86}", "seed": "18097870012017855904", "semantic_fingerprint": "sha256:822942f113fcef548b95138cd5a6030b91d9fc4f240fb642646ab72232ce3ee3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002846", "prompt": "Compute: (-840 - (-29)) * (-6 / (-9))", "solution_steps": ["Subtract: -840 - (-29) = -811", "Divide: -6 / (-9) = 2/3", "Multiply: -811 * (2/3) = -1622/3"], "final_answer": "-1622/3", "answer_type": "rational", "kind": "expression", "math_text": "(-840 - (-29)) * (-6 / (-9))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -840, \"b\": -29, \"c\": -6, \"d\": -9}", "seed": "1082947694117335648", "semantic_fingerprint": "sha256:2afad2cbbbedcfbc738bae00b9f790cb182df801ceb15a9f0b8072edf603378b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002847", "prompt": "What value of x satisfies -8(x - 79) - 736 = 4(x - 14)?", "solution_steps": ["Expand: -8x + 632 - 736 = 4(x - 14)", "Expand: -8x + 632 - 736 = 4x - 56", "Combine constants: -8x - 104 = 4x - 56", "Subtract 4x from both sides: -12x - 104 = -56", "Add 104 to both sides: -12x = 48", "Divide both sides by -12: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 79) - 736 = 4(x - 14)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 79, \"c\": 4, \"d\": 14, \"f\": -736, \"x\": -4}", "seed": "12716741404350792336", "semantic_fingerprint": "sha256:9fa51fffce1e9002a24c89e382e301c688729113997a1fbf8a110d950ff0272d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002848", "prompt": "Compute: (-53 - 0) * (-70 / (-111))", "solution_steps": ["Subtract: -53 - 0 = -53", "Divide: -70 / (-111) = 70/111", "Multiply: -53 * (70/111) = -3710/111"], "final_answer": "-3710/111", "answer_type": "rational", "kind": "expression", "math_text": "(-53 - 0) * (-70 / (-111))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": 0, \"c\": -70, \"d\": -111}", "seed": "9619170100034698016", "semantic_fingerprint": "sha256:ba71d955fd777389f90e03f3339330dd9076e5a36b6f0ea735ae90c864c724ab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002849", "prompt": "Compute: 7 / 38 + 1 / 1", "solution_steps": ["Divide: 7 / 38 = 7/38", "Divide: 1 / 1 = 1", "Add: 7/38 + 1 = 45/38"], "final_answer": "45/38", "answer_type": "rational", "kind": "expression", "math_text": "7 / 38 + 1 / 1", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 38, \"c\": 1, \"d\": 1}", "seed": "12643763214895949318", "semantic_fingerprint": "sha256:d0d52eec2563c70978087ae2f4e9aec4fe30184feee3f75074adf76ddabd898e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002850", "prompt": "What value of x satisfies 12(x + 8) - 1 = x - 114?", "solution_steps": ["Expand: 12x + 96 - 1 = x - 114", "Combine constants: 12x + 95 = x - 114", "Subtract x from both sides: 11x + 95 = -114", "Subtract 95 from both sides: 11x = -209", "Divide both sides by 11: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 8) - 1 = x - 114", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"c\": 1, \"e\": -114, \"x\": -19}", "seed": "12824545035554271236", "semantic_fingerprint": "sha256:89d26fa2891886d90243a6c977f02ae1234fb656d235469925928fcde32515b7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002851", "prompt": "Solve the equation x - 2 = 7(x - 77) + 489 for x.", "solution_steps": ["Expand: x - 2 = 7x - 539 + 489", "Combine constants: x - 2 = 7x - 50", "Subtract 7x from both sides: -6x - 2 = -50", "Add 2 to both sides: -6x = -48", "Divide both sides by -6: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2 = 7(x - 77) + 489", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": 77, \"e\": 489, \"x\": 8}", "seed": "853015985870428396", "semantic_fingerprint": "sha256:395f226b4b28785d60ce6b4935bb3e58dce5f380c5c4dee74041f7e24e768df0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002852", "prompt": "What is -918 / (59 - 25 + (-774))?", "solution_steps": ["Subtract: 59 - 25 = 34", "Add: 34 + (-774) = -740", "Divide: -918 / (-740) = 459/370"], "final_answer": "459/370", "answer_type": "rational", "kind": "expression", "math_text": "-918 / (59 - 25 + (-774))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -918, \"b\": 59, \"c\": 25, \"d\": -774}", "seed": "2240895949489605512", "semantic_fingerprint": "sha256:b54d271d214e29f4a64152c6a147fef52e811b028c619cdd358a55da4721226f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002853", "prompt": "What value of x satisfies x - 202 = 12(x - 59) + 572?", "solution_steps": ["Expand: x - 202 = 12x - 708 + 572", "Combine constants: x - 202 = 12x - 136", "Subtract 12x from both sides: -11x - 202 = -136", "Add 202 to both sides: -11x = 66", "Divide both sides by -11: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 202 = 12(x - 59) + 572", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 202, \"b\": 12, \"c\": 59, \"e\": 572, \"x\": -6}", "seed": "10624869504224012312", "semantic_fingerprint": "sha256:87749b534baa515dff96b22dc2c3aab4f1c9cb038be8130d350c3c56e177456d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002854", "prompt": "Compute: -87 - (-2 * (-14) + 8)", "solution_steps": ["Multiply: -2 * (-14) = 28", "Add: 28 + 8 = 36", "Subtract: -87 - 36 = -123"], "final_answer": "-123", "answer_type": "integer", "kind": "expression", "math_text": "-87 - (-2 * (-14) + 8)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": -2, \"c\": -14, \"d\": 8}", "seed": "13361203864333237166", "semantic_fingerprint": "sha256:d7ef86a6ea51f4c0977eccee4340f36570457aa475b707d298ba4e9cbb8ca398", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002855", "prompt": "Calculate: (11 - (-575)) * (-209 / (-8))", "solution_steps": ["Subtract: 11 - (-575) = 586", "Divide: -209 / (-8) = 209/8", "Multiply: 586 * (209/8) = 61237/4"], "final_answer": "61237/4", "answer_type": "rational", "kind": "expression", "math_text": "(11 - (-575)) * (-209 / (-8))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -575, \"c\": -209, \"d\": -8}", "seed": "962102673659161850", "semantic_fingerprint": "sha256:32d015d612753ff350305f502fa41ca5cd10e65c941618c8c9990b1e95fd5bcf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002856", "prompt": "Evaluate: -3 + 2 - (-1 + 75)", "solution_steps": ["Add: -3 + 2 = -1", "Add: -1 + 75 = 74", "Subtract: -1 - 74 = -75"], "final_answer": "-75", "answer_type": "integer", "kind": "expression", "math_text": "-3 + 2 - (-1 + 75)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 2, \"c\": -1, \"d\": 75}", "seed": "9658073269177011695", "semantic_fingerprint": "sha256:9b1734d44edd1811d3ecc1ebac2c9454e69bb3647542f7de593cb7c96032189a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002857", "prompt": "Find x: 7(x + 279) + 6 = 11(x + 27) - 55", "solution_steps": ["Expand: 7x + 1953 + 6 = 11(x + 27) - 55", "Expand: 7x + 1953 + 6 = 11x + 297 - 55", "Combine constants: 7x + 1959 = 11x + 297 - 55", "Combine constants: 7x + 1959 = 11x + 242", "Subtract 11x from both sides: -4x + 1959 = 242", "Subtract 1959 from both sides: -4x = -1717", "Divide both sides by -4: x = 1717/4"], "final_answer": "1717/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 279) + 6 = 11(x + 27) - 55", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 279, \"c\": 6, \"d\": 11, \"e\": 27, \"f\": 55}", "seed": "13331456464950926491", "semantic_fingerprint": "sha256:8f4bb191cba01eff7d90d80016f3a946e9b2d34097854d0113b40f9149f13816", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002858", "prompt": "Evaluate: -2 * (51 * 4) - 0", "solution_steps": ["Multiply: 51 * 4 = 204", "Multiply: -2 * 204 = -408", "Subtract: -408 - 0 = -408"], "final_answer": "-408", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (51 * 4) - 0", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 51, \"c\": 4, \"d\": 0}", "seed": "443482810982929329", "semantic_fingerprint": "sha256:1ce26e5366d100895ebe133b976e67c8ce0fd189c7eedb5e85ec47cbe5d72ab4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002859", "prompt": "Calculate: -35 / (-56 * (-58 / (-22 - 32) / 1))", "solution_steps": ["Subtract: -22 - 32 = -54", "Divide: -58 / (-54) = 29/27", "Divide: (29/27) / 1 = 29/27", "Multiply: -56 * (29/27) = -1624/27", "Divide: -35 / (-1624/27) = 135/232"], "final_answer": "135/232", "answer_type": "rational", "kind": "expression", "math_text": "-35 / (-56 * (-58 / (-22 - 32) / 1))", "variable": null, "family": "expression_5op", "shape": "(/ n (* n (/ (/ n (- n n)) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": -56, \"c\": -58, \"d\": -22, \"e\": 32, \"f\": 1}", "seed": "18165178314088565239", "semantic_fingerprint": "sha256:e150e972acc614e5b1543c9b26de5d3657037e9d1ae31218712acc6c55290668", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002860", "prompt": "Find x: 2(x - 443) - 4 = 7(x - 60) - 370", "solution_steps": ["Expand: 2x - 886 - 4 = 7(x - 60) - 370", "Expand: 2x - 886 - 4 = 7x - 420 - 370", "Combine constants: 2x - 890 = 7x - 420 - 370", "Combine constants: 2x - 890 = 7x - 790", "Subtract 7x from both sides: -5x - 890 = -790", "Add 890 to both sides: -5x = 100", "Divide both sides by -5: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 443) - 4 = 7(x - 60) - 370", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 443, \"c\": 4, \"d\": 7, \"e\": 60, \"g\": -370, \"x\": -20}", "seed": "14277814937741327092", "semantic_fingerprint": "sha256:3105c705008bc18d07f14d5ad024affb09901c0fe32bf5ba2d292be533d9993c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002861", "prompt": "What is (2 + (-68) + (256 + (-66))) / 4?", "solution_steps": ["Add: 2 + (-68) = -66", "Add: 256 + (-66) = 190", "Add: -66 + 190 = 124", "Divide: 124 / 4 = 31"], "final_answer": "31", "answer_type": "integer", "kind": "expression", "math_text": "(2 + (-68) + (256 + (-66))) / 4", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -68, \"c\": 256, \"d\": -66, \"e\": 4}", "seed": "6812655464906356865", "semantic_fingerprint": "sha256:ccb29a663fec09e0f4d086e15926ee883733a385b02b0891a80ac7dc7722adb2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002862", "prompt": "What is 0 / ((-99 + (-83) - (-57)) / 243)?", "solution_steps": ["Add: -99 + (-83) = -182", "Subtract: -182 - (-57) = -125", "Divide: -125 / 243 = -125/243", "Divide: 0 / (-125/243) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / ((-99 + (-83) - (-57)) / 243)", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (- (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -99, \"c\": -83, \"d\": -57, \"e\": 243}", "seed": "2377577622616780053", "semantic_fingerprint": "sha256:16bf4c465703a86a2bf512391fc0c188e9ed401168b4382832474050eb1156ce", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002863", "prompt": "Compute: 68 / (71 / (-93 * (-9)))", "solution_steps": ["Multiply: -93 * (-9) = 837", "Divide: 71 / 837 = 71/837", "Divide: 68 / (71/837) = 56916/71"], "final_answer": "56916/71", "answer_type": "rational", "kind": "expression", "math_text": "68 / (71 / (-93 * (-9)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 71, \"c\": -93, \"d\": -9}", "seed": "6235710322232355442", "semantic_fingerprint": "sha256:90e3cbe7925f4ff97e28b7e21d5729722c92becc627ff4e30bb68ccc92552057", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002864", "prompt": "Calculate: -38 - (-151 * (14 - (-4)) + (-16))", "solution_steps": ["Subtract: 14 - (-4) = 18", "Multiply: -151 * 18 = -2718", "Add: -2718 + (-16) = -2734", "Subtract: -38 - (-2734) = 2696"], "final_answer": "2696", "answer_type": "integer", "kind": "expression", "math_text": "-38 - (-151 * (14 - (-4)) + (-16))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (* n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": -151, \"c\": 14, \"d\": -4, \"e\": -16}", "seed": "15132307928116139719", "semantic_fingerprint": "sha256:e62b3167e6e74f4a47a4eb9e911767c5ecf73430b342ac60d435ad4875c2abbd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002865", "prompt": "What is (-2 - 5) / (-3 + 6) * (-560 + 2)?", "solution_steps": ["Subtract: -2 - 5 = -7", "Add: -3 + 6 = 3", "Divide: -7 / 3 = -7/3", "Add: -560 + 2 = -558", "Multiply: (-7/3) * (-558) = 1302"], "final_answer": "1302", "answer_type": "integer", "kind": "expression", "math_text": "(-2 - 5) / (-3 + 6) * (-560 + 2)", "variable": null, "family": "expression_5op", "shape": "(* (/ (- n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 5, \"c\": -3, \"d\": 6, \"e\": -560, \"f\": 2}", "seed": "14578625928171880947", "semantic_fingerprint": "sha256:2025ff4422358dc6f6beac11a509f85e65c0c3f7cc34e77c82c92452a8a8698a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002866", "prompt": "Solve for x: -11(x - 4) = 3x - 166", "solution_steps": ["Expand: -11x + 44 = 3x - 166", "Subtract 3x from both sides: -14x + 44 = -166", "Subtract 44 from both sides: -14x = -210", "Divide both sides by -14: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 4) = 3x - 166", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 4, \"c\": 3, \"e\": -166, \"x\": 15}", "seed": "7348714516934478843", "semantic_fingerprint": "sha256:cc527e7c6aa39ce184be5014d8d50fb1fbcc27fd57e276b0ecdb78137e187144", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002867", "prompt": "Evaluate: (586 / 9 + 247) * 804", "solution_steps": ["Divide: 586 / 9 = 586/9", "Add: 586/9 + 247 = 2809/9", "Multiply: (2809/9) * 804 = 752812/3"], "final_answer": "752812/3", "answer_type": "rational", "kind": "expression", "math_text": "(586 / 9 + 247) * 804", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 586, \"b\": 9, \"c\": 247, \"d\": 804}", "seed": "9980591391408456831", "semantic_fingerprint": "sha256:6ff724c8e58a335aca64d7a2f1d15b225c25131379327087e9d6365e4a18c841", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002868", "prompt": "Compute: (412 - (524 + 856)) / ((-17 - (-14)) * 8)", "solution_steps": ["Add: 524 + 856 = 1380", "Subtract: 412 - 1380 = -968", "Subtract: -17 - (-14) = -3", "Multiply: -3 * 8 = -24", "Divide: -968 / (-24) = 121/3"], "final_answer": "121/3", "answer_type": "rational", "kind": "expression", "math_text": "(412 - (524 + 856)) / ((-17 - (-14)) * 8)", "variable": null, "family": "expression_5op", "shape": "(/ (- n (+ n n)) (* (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 412, \"b\": 524, \"c\": 856, \"d\": -17, \"e\": -14, \"f\": 8}", "seed": "7435245537018093533", "semantic_fingerprint": "sha256:37bef768f4c38273a00e9ae82d3ea7569dac12011d187d2f233898326abf50f4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002869", "prompt": "Evaluate: (43 - 6 / (-1)) / 2", "solution_steps": ["Divide: 6 / (-1) = -6", "Subtract: 43 - (-6) = 49", "Divide: 49 / 2 = 49/2"], "final_answer": "49/2", "answer_type": "rational", "kind": "expression", "math_text": "(43 - 6 / (-1)) / 2", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": 6, \"c\": -1, \"d\": 2}", "seed": "12256851318511529280", "semantic_fingerprint": "sha256:5eac5fe1d7299e0862514478a1b63f94da8ea3c82f8ad7644ffa29cbba03f6d6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002870", "prompt": "Solve the equation 11(x - 595) - 71 = -2(x - 5) for x.", "solution_steps": ["Expand: 11x - 6545 - 71 = -2(x - 5)", "Expand: 11x - 6545 - 71 = -2x + 10", "Combine constants: 11x - 6616 = -2x + 10", "Add 2x to both sides: 13x - 6616 = 10", "Add 6616 to both sides: 13x = 6626", "Divide both sides by 13: x = 6626/13"], "final_answer": "6626/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 595) - 71 = -2(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 595, \"c\": 71, \"d\": -2, \"e\": 5}", "seed": "13182530372991010808", "semantic_fingerprint": "sha256:e9ec6287982d07b7b2b987a1a302f2b41df5748d5b39ac4b1a077c9b68a0737c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002871", "prompt": "What value of x satisfies 2(x - 331) - 77 = 7(x - 19) - 516?", "solution_steps": ["Expand: 2x - 662 - 77 = 7(x - 19) - 516", "Expand: 2x - 662 - 77 = 7x - 133 - 516", "Combine constants: 2x - 739 = 7x - 133 - 516", "Combine constants: 2x - 739 = 7x - 649", "Subtract 7x from both sides: -5x - 739 = -649", "Add 739 to both sides: -5x = 90", "Divide both sides by -5: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 331) - 77 = 7(x - 19) - 516", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 331, \"c\": 77, \"d\": 7, \"e\": 19, \"g\": -516, \"x\": -18}", "seed": "16044085715767647059", "semantic_fingerprint": "sha256:0940a94fea0f7e4422fa1841d8efb079973066761a69842891997dd0a123e58f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002872", "prompt": "Evaluate: 24 / (-9 * (-15)) - (-56)", "solution_steps": ["Multiply: -9 * (-15) = 135", "Divide: 24 / 135 = 8/45", "Subtract: 8/45 - (-56) = 2528/45"], "final_answer": "2528/45", "answer_type": "rational", "kind": "expression", "math_text": "24 / (-9 * (-15)) - (-56)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -9, \"c\": -15, \"d\": -56}", "seed": "4113539256038794076", "semantic_fingerprint": "sha256:1b837d4acd1f624d61b3580a06a6c6ac8e1e16da405c2bc18b36326fab4cfc82", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002873", "prompt": "What is 212 + (657 * (-4) - 1)?", "solution_steps": ["Multiply: 657 * (-4) = -2628", "Subtract: -2628 - 1 = -2629", "Add: 212 + (-2629) = -2417"], "final_answer": "-2417", "answer_type": "integer", "kind": "expression", "math_text": "212 + (657 * (-4) - 1)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 212, \"b\": 657, \"c\": -4, \"d\": 1}", "seed": "14843183894500080747", "semantic_fingerprint": "sha256:d4a3e8cd0290c0b5498d88c911963e2789156c0c24e751c5b124539b13a08c0a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002874", "prompt": "Calculate: (99 - (-750)) * ((62 + 88) / (69 - 2))", "solution_steps": ["Subtract: 99 - (-750) = 849", "Add: 62 + 88 = 150", "Subtract: 69 - 2 = 67", "Divide: 150 / 67 = 150/67", "Multiply: 849 * (150/67) = 127350/67"], "final_answer": "127350/67", "answer_type": "rational", "kind": "expression", "math_text": "(99 - (-750)) * ((62 + 88) / (69 - 2))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (/ (+ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -750, \"c\": 62, \"d\": 88, \"e\": 69, \"f\": 2}", "seed": "12357711692898162903", "semantic_fingerprint": "sha256:d768146550bd3d4c64f0e9b29b9eabcf0153a4b189f9133c7e65546ffe05e318", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002875", "prompt": "What value of x satisfies 3(x + 61) + 955 = 8(x + 4) - 197?", "solution_steps": ["Expand: 3x + 183 + 955 = 8(x + 4) - 197", "Expand: 3x + 183 + 955 = 8x + 32 - 197", "Combine constants: 3x + 1138 = 8x + 32 - 197", "Combine constants: 3x + 1138 = 8x - 165", "Subtract 8x from both sides: -5x + 1138 = -165", "Subtract 1138 from both sides: -5x = -1303", "Divide both sides by -5: x = 1303/5"], "final_answer": "1303/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 61) + 955 = 8(x + 4) - 197", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 61, \"c\": 955, \"d\": 8, \"e\": 4, \"f\": 197}", "seed": "7108252477702538836", "semantic_fingerprint": "sha256:f84fb0b9f5596adc1e39c9e7748875aa613b6456b35980961b7833f8dfa174d3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002876", "prompt": "What is -35 * (-283 * (-86)) - (-4)?", "solution_steps": ["Multiply: -283 * (-86) = 24338", "Multiply: -35 * 24338 = -851830", "Subtract: -851830 - (-4) = -851826"], "final_answer": "-851826", "answer_type": "integer", "kind": "expression", "math_text": "-35 * (-283 * (-86)) - (-4)", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": -283, \"c\": -86, \"d\": -4}", "seed": "11084078478991775620", "semantic_fingerprint": "sha256:1fab74f20303708d07e7889272e164baf583feccbf3d43a57972a59c1f094ce0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002877", "prompt": "Find x: -10(x + 24) - 7 = x - 302", "solution_steps": ["Expand: -10x - 240 - 7 = x - 302", "Combine constants: -10x - 247 = x - 302", "Subtract x from both sides: -11x - 247 = -302", "Add 247 to both sides: -11x = -55", "Divide both sides by -11: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 24) - 7 = x - 302", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 24, \"c\": 7, \"e\": -302, \"x\": 5}", "seed": "18106228193464113941", "semantic_fingerprint": "sha256:6eaf82789b4585a7517e84420b109f076b7411848786b6d66e333c57e942433e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002878", "prompt": "What is (-64 * (-93) + 84 / (-5)) / (-30)?", "solution_steps": ["Multiply: -64 * (-93) = 5952", "Divide: 84 / (-5) = -84/5", "Add: 5952 + (-84/5) = 29676/5", "Divide: (29676/5) / (-30) = -4946/25"], "final_answer": "-4946/25", "answer_type": "rational", "kind": "expression", "math_text": "(-64 * (-93) + 84 / (-5)) / (-30)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": -93, \"c\": 84, \"d\": -5, \"e\": -30}", "seed": "12542526581329898992", "semantic_fingerprint": "sha256:d5b50943e9b39d7481527c7b1ddb89c8c50d5d11e16a4af5bec50213d5bb16e3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002879", "prompt": "Evaluate: (-6 - 361) * (-5 / 1)", "solution_steps": ["Subtract: -6 - 361 = -367", "Divide: -5 / 1 = -5", "Multiply: -367 * (-5) = 1835"], "final_answer": "1835", "answer_type": "integer", "kind": "expression", "math_text": "(-6 - 361) * (-5 / 1)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 361, \"c\": -5, \"d\": 1}", "seed": "16962767961997180590", "semantic_fingerprint": "sha256:c8633858092cd12946ca2104d10581c5954153810131f2f9d77d52d684ea33cf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002880", "prompt": "Solve for x: 10(x - 7) - 548 = 7(x - 62) - 157", "solution_steps": ["Expand: 10x - 70 - 548 = 7(x - 62) - 157", "Expand: 10x - 70 - 548 = 7x - 434 - 157", "Combine constants: 10x - 618 = 7x - 434 - 157", "Combine constants: 10x - 618 = 7x - 591", "Subtract 7x from both sides: 3x - 618 = -591", "Add 618 to both sides: 3x = 27", "Divide both sides by 3: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 7) - 548 = 7(x - 62) - 157", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7, \"c\": 548, \"d\": 7, \"e\": 62, \"g\": -157, \"x\": 9}", "seed": "4026739094189784162", "semantic_fingerprint": "sha256:c7b82312ca5d99dd6730b79265376e0cb58ea8cd190bada3b72a402289f21c28", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002881", "prompt": "Compute: -5 / (-434 - 5 - 94)", "solution_steps": ["Subtract: -434 - 5 = -439", "Subtract: -439 - 94 = -533", "Divide: -5 / (-533) = 5/533"], "final_answer": "5/533", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-434 - 5 - 94)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -434, \"c\": 5, \"d\": 94}", "seed": "879435725611448640", "semantic_fingerprint": "sha256:7ea38679965b1735c2e1832deb17b91d370eba8543b370414280d68a26a81322", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002882", "prompt": "What value of x satisfies x - 649 = 11(x - 4) + 679?", "solution_steps": ["Expand: x - 649 = 11x - 44 + 679", "Combine constants: x - 649 = 11x + 635", "Subtract 11x from both sides: -10x - 649 = 635", "Add 649 to both sides: -10x = 1284", "Divide both sides by -10: x = -642/5"], "final_answer": "-642/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 649 = 11(x - 4) + 679", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 649, \"b\": 11, \"c\": 4, \"d\": 679}", "seed": "11510155281146053683", "semantic_fingerprint": "sha256:2dbc535af3e28750dd73e88ca9352c8b38dabdf0cb58f4d07bfafeaf16d52a8d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002883", "prompt": "Evaluate: -662 * (-142) / (-3 + 984)", "solution_steps": ["Multiply: -662 * (-142) = 94004", "Add: -3 + 984 = 981", "Divide: 94004 / 981 = 94004/981"], "final_answer": "94004/981", "answer_type": "rational", "kind": "expression", "math_text": "-662 * (-142) / (-3 + 984)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -662, \"b\": -142, \"c\": -3, \"d\": 984}", "seed": "18001495137006130774", "semantic_fingerprint": "sha256:c4f57fe522bd042aae1970b2d328da34e8803af9a9349d81ab452c475f0de69e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002884", "prompt": "Solve the equation 7(x - 7) + 41 = 6(x - 4) for x.", "solution_steps": ["Expand: 7x - 49 + 41 = 6(x - 4)", "Expand: 7x - 49 + 41 = 6x - 24", "Combine constants: 7x - 8 = 6x - 24", "Subtract 6x from both sides: x - 8 = -24", "Add 8 to both sides: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 7) + 41 = 6(x - 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 6, \"d\": 4, \"f\": 41, \"x\": -16}", "seed": "3825212779252792090", "semantic_fingerprint": "sha256:55b664cbd4788b829343c2dc6d54aec460acd2ca101011df1381cfc25a2d0ddf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002885", "prompt": "What is -44 - 44 / (-1 / (-2))?", "solution_steps": ["Divide: -1 / (-2) = 1/2", "Divide: 44 / (1/2) = 88", "Subtract: -44 - 88 = -132"], "final_answer": "-132", "answer_type": "integer", "kind": "expression", "math_text": "-44 - 44 / (-1 / (-2))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": 44, \"c\": -1, \"d\": -2}", "seed": "1669246035488034375", "semantic_fingerprint": "sha256:263c65234d66c3e0ad228028aeaa426d940b780c8ccb0dde0262601f8b7a28f5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002886", "prompt": "Calculate: 3 + (-7) - 33 * 609 / 2", "solution_steps": ["Add: 3 + (-7) = -4", "Multiply: 33 * 609 = 20097", "Divide: 20097 / 2 = 20097/2", "Subtract: -4 - 20097/2 = -20105/2"], "final_answer": "-20105/2", "answer_type": "rational", "kind": "expression", "math_text": "3 + (-7) - 33 * 609 / 2", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -7, \"c\": 33, \"d\": 609, \"e\": 2}", "seed": "4853818301436363585", "semantic_fingerprint": "sha256:1168603eff9e024e87819012e03e551a9ba324389abb2e2cc66eef6f785fbd96", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002887", "prompt": "Calculate: 77 + (-34) - (3 + 1) - (2 - (-290))", "solution_steps": ["Add: 77 + (-34) = 43", "Add: 3 + 1 = 4", "Subtract: 43 - 4 = 39", "Subtract: 2 - (-290) = 292", "Subtract: 39 - 292 = -253"], "final_answer": "-253", "answer_type": "integer", "kind": "expression", "math_text": "77 + (-34) - (3 + 1) - (2 - (-290))", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n n) (+ n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -34, \"c\": 3, \"d\": 1, \"e\": 2, \"f\": -290}", "seed": "8143030410985139601", "semantic_fingerprint": "sha256:627458bac39da11c6bcb8b372b4256800534fefe8e087684db40598157f1810f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002888", "prompt": "Calculate: -81 / ((-4 - (-2)) / (-534) * 4) / (-324)", "solution_steps": ["Subtract: -4 - (-2) = -2", "Divide: -2 / (-534) = 1/267", "Multiply: (1/267) * 4 = 4/267", "Divide: -81 / (4/267) = -21627/4", "Divide: (-21627/4) / (-324) = 267/16"], "final_answer": "267/16", "answer_type": "rational", "kind": "expression", "math_text": "-81 / ((-4 - (-2)) / (-534) * 4) / (-324)", "variable": null, "family": "expression_5op", "shape": "(/ (/ n (* (/ (- n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": -4, \"c\": -2, \"d\": -534, \"e\": 4, \"f\": -324}", "seed": "1904049316961729308", "semantic_fingerprint": "sha256:248b22cb9e1ebf93e3b7113a739df771b41bbcc17ca549a3bab8b3d187249b70", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002889", "prompt": "Find x: 3(x + 448) - 9 = x - 6", "solution_steps": ["Expand: 3x + 1344 - 9 = x - 6", "Combine constants: 3x + 1335 = x - 6", "Subtract x from both sides: 2x + 1335 = -6", "Subtract 1335 from both sides: 2x = -1341", "Divide both sides by 2: x = -1341/2"], "final_answer": "-1341/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 448) - 9 = x - 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 448, \"c\": 9, \"d\": 6}", "seed": "12115169746112805855", "semantic_fingerprint": "sha256:f77d14fe99b64f281b291fda4bbfc33974fb4ffedfddc2201f5ff2e77e582fcf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002890", "prompt": "Compute: -48 - 46 - 6 * (-15 * 921 - (-860))", "solution_steps": ["Subtract: -48 - 46 = -94", "Multiply: -15 * 921 = -13815", "Subtract: -13815 - (-860) = -12955", "Multiply: 6 * (-12955) = -77730", "Subtract: -94 - (-77730) = 77636"], "final_answer": "77636", "answer_type": "integer", "kind": "expression", "math_text": "-48 - 46 - 6 * (-15 * 921 - (-860))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (* n (- (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": 46, \"c\": 6, \"d\": -15, \"e\": 921, \"f\": -860}", "seed": "8591222792635605418", "semantic_fingerprint": "sha256:babd2d498b43ba1b87950f7e842b639d47551d46a19c3298281cff6824d48c35", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002891", "prompt": "Evaluate: (-291 - 69 / 1) / (-62)", "solution_steps": ["Divide: 69 / 1 = 69", "Subtract: -291 - 69 = -360", "Divide: -360 / (-62) = 180/31"], "final_answer": "180/31", "answer_type": "rational", "kind": "expression", "math_text": "(-291 - 69 / 1) / (-62)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -291, \"b\": 69, \"c\": 1, \"d\": -62}", "seed": "13166980404049899023", "semantic_fingerprint": "sha256:86cb78cb86fa3144cd5042c4e2c433baa6480d6dd50f68229c122f908bc373b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002892", "prompt": "Evaluate: -22 + (-6) - 8 - (-29) + 63", "solution_steps": ["Add: -22 + (-6) = -28", "Subtract: -28 - 8 = -36", "Subtract: -36 - (-29) = -7", "Add: -7 + 63 = 56"], "final_answer": "56", "answer_type": "integer", "kind": "expression", "math_text": "-22 + (-6) - 8 - (-29) + 63", "variable": null, "family": "expression_4op", "shape": "(+ (- (- (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": -6, \"c\": 8, \"d\": -29, \"e\": 63}", "seed": "11012075377548683286", "semantic_fingerprint": "sha256:7b72cf4b6e87d03c7661956a78e2f2c2790756f95d9d4db05d89a4ad43a86c04", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002893", "prompt": "Compute: 8 - 7 * (-1) - (-91)", "solution_steps": ["Multiply: 7 * (-1) = -7", "Subtract: 8 - (-7) = 15", "Subtract: 15 - (-91) = 106"], "final_answer": "106", "answer_type": "integer", "kind": "expression", "math_text": "8 - 7 * (-1) - (-91)", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": -1, \"d\": -91}", "seed": "3643995427470176878", "semantic_fingerprint": "sha256:25c6541157c778a03759bafa6193728464704c5d8cf3632bb1587c546c87f372", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002894", "prompt": "Solve for x: 5(x - 74) = -5x - 230", "solution_steps": ["Expand: 5x - 370 = -5x - 230", "Add 5x to both sides: 10x - 370 = -230", "Add 370 to both sides: 10x = 140", "Divide both sides by 10: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 74) = -5x - 230", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 74, \"c\": -5, \"e\": -230, \"x\": 14}", "seed": "12027723329403569145", "semantic_fingerprint": "sha256:e9c64f158fd6ee5e6a7cef5d1310a94667523ad531c4555029aabbbe705b220f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002895", "prompt": "Find x: 6(x - 72) - 93 = -3(x - 12) - 399", "solution_steps": ["Expand: 6x - 432 - 93 = -3(x - 12) - 399", "Expand: 6x - 432 - 93 = -3x + 36 - 399", "Combine constants: 6x - 525 = -3x + 36 - 399", "Combine constants: 6x - 525 = -3x - 363", "Add 3x to both sides: 9x - 525 = -363", "Add 525 to both sides: 9x = 162", "Divide both sides by 9: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 72) - 93 = -3(x - 12) - 399", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 72, \"c\": 93, \"d\": -3, \"e\": 12, \"g\": -399, \"x\": 18}", "seed": "17968884905024144222", "semantic_fingerprint": "sha256:c77a23b87e8b8f0bbab0683183a0c6a3e2b8dc9e6d110e7228229879173dbae5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002896", "prompt": "Solve for x: -9(x + 14) - 11 = x - 27", "solution_steps": ["Expand: -9x - 126 - 11 = x - 27", "Combine constants: -9x - 137 = x - 27", "Subtract x from both sides: -10x - 137 = -27", "Add 137 to both sides: -10x = 110", "Divide both sides by -10: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 14) - 11 = x - 27", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 14, \"c\": 11, \"e\": -27, \"x\": -11}", "seed": "13763397414792446831", "semantic_fingerprint": "sha256:ffbcd3b63a8237990347b54dbf443ce17443894fd79af03f1a94103f2b71c4d6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002897", "prompt": "Evaluate: 3 + 34 / 8 * (-62 + 8 - 0)", "solution_steps": ["Divide: 34 / 8 = 17/4", "Add: -62 + 8 = -54", "Subtract: -54 - 0 = -54", "Multiply: (17/4) * (-54) = -459/2", "Add: 3 + (-459/2) = -453/2"], "final_answer": "-453/2", "answer_type": "rational", "kind": "expression", "math_text": "3 + 34 / 8 * (-62 + 8 - 0)", "variable": null, "family": "expression_5op", "shape": "(+ n (* (/ n n) (- (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 34, \"c\": 8, \"d\": -62, \"e\": 8, \"f\": 0}", "seed": "6686468678861543689", "semantic_fingerprint": "sha256:6ad224673f4eb4cad3ca806be8bed2f36890a1a7393488f4edc44686a485e49c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002898", "prompt": "Evaluate: 9 - (-98 + 2) / (-641 * (-24))", "solution_steps": ["Add: -98 + 2 = -96", "Multiply: -641 * (-24) = 15384", "Divide: -96 / 15384 = -4/641", "Subtract: 9 - (-4/641) = 5773/641"], "final_answer": "5773/641", "answer_type": "rational", "kind": "expression", "math_text": "9 - (-98 + 2) / (-641 * (-24))", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -98, \"c\": 2, \"d\": -641, \"e\": -24}", "seed": "16164271702101740120", "semantic_fingerprint": "sha256:620e5a4a5165d373f1f655970f126f4375939ae49b4125ddab2a674ed0e5ebb6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002899", "prompt": "What value of x satisfies 6(x + 4) - 2 = x - 23?", "solution_steps": ["Expand: 6x + 24 - 2 = x - 23", "Combine constants: 6x + 22 = x - 23", "Subtract x from both sides: 5x + 22 = -23", "Subtract 22 from both sides: 5x = -45", "Divide both sides by 5: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 4) - 2 = x - 23", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 4, \"c\": 2, \"e\": -23, \"x\": -9}", "seed": "7051458999076161549", "semantic_fingerprint": "sha256:8b01bbf675b427b0ecae09a84636b6979645eac980e60ddf9d4ee5c20d15633c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002900", "prompt": "Evaluate: (-4 - (-5)) * 668 * 2", "solution_steps": ["Subtract: -4 - (-5) = 1", "Multiply: 1 * 668 = 668", "Multiply: 668 * 2 = 1336"], "final_answer": "1336", "answer_type": "integer", "kind": "expression", "math_text": "(-4 - (-5)) * 668 * 2", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -5, \"c\": 668, \"d\": 2}", "seed": "11931611571851886744", "semantic_fingerprint": "sha256:69069347e5bdc26496529fc8c67c56af50f16335f8f811ab62a8802f9539f4f3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002901", "prompt": "Find x: 3x - 290 = -5(x + 247) + 857", "solution_steps": ["Expand: 3x - 290 = -5x - 1235 + 857", "Combine constants: 3x - 290 = -5x - 378", "Add 5x to both sides: 8x - 290 = -378", "Add 290 to both sides: 8x = -88", "Divide both sides by 8: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 290 = -5(x + 247) + 857", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 290, \"c\": -5, \"d\": 247, \"f\": 857, \"x\": -11}", "seed": "17477908289160917327", "semantic_fingerprint": "sha256:5e891054cbbdb8d478ba6b1b7e17735d02ed7668ce7e3eccbaae9aa4601bce69", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002902", "prompt": "Solve the equation 7(x - 6) = 5x - 14 for x.", "solution_steps": ["Expand: 7x - 42 = 5x - 14", "Subtract 5x from both sides: 2x - 42 = -14", "Add 42 to both sides: 2x = 28", "Divide both sides by 2: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 6) = 5x - 14", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 5, \"e\": -14, \"x\": 14}", "seed": "3818169956249985441", "semantic_fingerprint": "sha256:91f0c5313304aab3348aa949d52e38911aa8b283a567a116cf269a89754665d2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002903", "prompt": "What is (-90 - 741 + 1) * 28?", "solution_steps": ["Subtract: -90 - 741 = -831", "Add: -831 + 1 = -830", "Multiply: -830 * 28 = -23240"], "final_answer": "-23240", "answer_type": "integer", "kind": "expression", "math_text": "(-90 - 741 + 1) * 28", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": 741, \"c\": 1, \"d\": 28}", "seed": "2251420811810039755", "semantic_fingerprint": "sha256:190c4a5c5c3c10c77c5561055511cb1f4a91bbbca244c8d559692dae45315dfe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002904", "prompt": "Calculate: -32 - 46 + (-99) - 62 + 5", "solution_steps": ["Subtract: -32 - 46 = -78", "Add: -78 + (-99) = -177", "Subtract: -177 - 62 = -239", "Add: -239 + 5 = -234"], "final_answer": "-234", "answer_type": "integer", "kind": "expression", "math_text": "-32 - 46 + (-99) - 62 + 5", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": 46, \"c\": -99, \"d\": 62, \"e\": 5}", "seed": "7821078733962437272", "semantic_fingerprint": "sha256:cf4907eca6b60f50076fd077b597fc0d64a581a8b91b9b5f74fb8bc8d2b689f5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002905", "prompt": "Solve the equation 7(x - 6) + 17 = 5(x - 890) for x.", "solution_steps": ["Expand: 7x - 42 + 17 = 5(x - 890)", "Expand: 7x - 42 + 17 = 5x - 4450", "Combine constants: 7x - 25 = 5x - 4450", "Subtract 5x from both sides: 2x - 25 = -4450", "Add 25 to both sides: 2x = -4425", "Divide both sides by 2: x = -4425/2"], "final_answer": "-4425/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 6) + 17 = 5(x - 890)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 17, \"d\": 5, \"e\": 890}", "seed": "5272339837711563753", "semantic_fingerprint": "sha256:b4310ee8c03787f1ae97cdc1038008f712599f9abc358528328073d6c90c807d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002906", "prompt": "Calculate: 332 * (-73 * (-37 - (-48)))", "solution_steps": ["Subtract: -37 - (-48) = 11", "Multiply: -73 * 11 = -803", "Multiply: 332 * (-803) = -266596"], "final_answer": "-266596", "answer_type": "integer", "kind": "expression", "math_text": "332 * (-73 * (-37 - (-48)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 332, \"b\": -73, \"c\": -37, \"d\": -48}", "seed": "5148088310246318531", "semantic_fingerprint": "sha256:410c374d631b8e3031164bbbffa792661d1adb07804872756386e9459e473dcb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002907", "prompt": "What value of x satisfies 2(x + 62) + 56 = 8(x + 33) - 150?", "solution_steps": ["Expand: 2x + 124 + 56 = 8(x + 33) - 150", "Expand: 2x + 124 + 56 = 8x + 264 - 150", "Combine constants: 2x + 180 = 8x + 264 - 150", "Combine constants: 2x + 180 = 8x + 114", "Subtract 8x from both sides: -6x + 180 = 114", "Subtract 180 from both sides: -6x = -66", "Divide both sides by -6: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 62) + 56 = 8(x + 33) - 150", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 62, \"c\": 56, \"d\": 8, \"e\": 33, \"g\": -150, \"x\": 11}", "seed": "15139745982487979177", "semantic_fingerprint": "sha256:144dad5aa2e2964ee685e3f87cfa568317507a186ecc4566c4d8d9397abfea15", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002908", "prompt": "Calculate: -8 / 7 * 82 - (30 - (-52)) * 696", "solution_steps": ["Divide: -8 / 7 = -8/7", "Multiply: (-8/7) * 82 = -656/7", "Subtract: 30 - (-52) = 82", "Multiply: 82 * 696 = 57072", "Subtract: -656/7 - 57072 = -400160/7"], "final_answer": "-400160/7", "answer_type": "rational", "kind": "expression", "math_text": "-8 / 7 * 82 - (30 - (-52)) * 696", "variable": null, "family": "expression_5op", "shape": "(- (* (/ n n) n) (* (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 7, \"c\": 82, \"d\": 30, \"e\": -52, \"f\": 696}", "seed": "14591796757700967559", "semantic_fingerprint": "sha256:cb5d2f3fe8c7fd4295a47e5fe6f232d64714688d3d90985691a2d9e7d7f67caf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002909", "prompt": "What is -19 + (-8) + (-720 - 198) * 4?", "solution_steps": ["Add: -19 + (-8) = -27", "Subtract: -720 - 198 = -918", "Multiply: -918 * 4 = -3672", "Add: -27 + (-3672) = -3699"], "final_answer": "-3699", "answer_type": "integer", "kind": "expression", "math_text": "-19 + (-8) + (-720 - 198) * 4", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": -8, \"c\": -720, \"d\": 198, \"e\": 4}", "seed": "12360473812669543514", "semantic_fingerprint": "sha256:f45ca63542826075132bf6f856a681ab2b584aa6988589e5c210cda5711a43fd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002910", "prompt": "Solve the equation 7(x - 8) - 4 = 10(x - 6) - 3 for x.", "solution_steps": ["Expand: 7x - 56 - 4 = 10(x - 6) - 3", "Expand: 7x - 56 - 4 = 10x - 60 - 3", "Combine constants: 7x - 60 = 10x - 60 - 3", "Combine constants: 7x - 60 = 10x - 63", "Subtract 10x from both sides: -3x - 60 = -63", "Add 60 to both sides: -3x = -3", "Divide both sides by -3: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 8) - 4 = 10(x - 6) - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 4, \"d\": 10, \"e\": 6, \"g\": -3, \"x\": 1}", "seed": "17813428718412327445", "semantic_fingerprint": "sha256:05928b1bd9dc7da9fe386cbf73b404912d8613f28b5a849408eef987dacadf97", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002911", "prompt": "What is -75 - (-47 * 38 + 79)?", "solution_steps": ["Multiply: -47 * 38 = -1786", "Add: -1786 + 79 = -1707", "Subtract: -75 - (-1707) = 1632"], "final_answer": "1632", "answer_type": "integer", "kind": "expression", "math_text": "-75 - (-47 * 38 + 79)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -47, \"c\": 38, \"d\": 79}", "seed": "1398074887216050585", "semantic_fingerprint": "sha256:c58126514f841611313bb5e1b5506156e307321fa7a0f6674d3be5549d6fb46e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002912", "prompt": "Calculate: -278 + (91 * (3 + (-932)) - (-74) / (-2))", "solution_steps": ["Add: 3 + (-932) = -929", "Multiply: 91 * (-929) = -84539", "Divide: -74 / (-2) = 37", "Subtract: -84539 - 37 = -84576", "Add: -278 + (-84576) = -84854"], "final_answer": "-84854", "answer_type": "integer", "kind": "expression", "math_text": "-278 + (91 * (3 + (-932)) - (-74) / (-2))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (* n (+ n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -278, \"b\": 91, \"c\": 3, \"d\": -932, \"e\": -74, \"f\": -2}", "seed": "8824540574485265730", "semantic_fingerprint": "sha256:17870b184b3e98e6ae11040da56ed899682b85a852a5e5234bfda079604b0323", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002913", "prompt": "Compute: (-6 + 5) * (-445) - 44 / (-11)", "solution_steps": ["Add: -6 + 5 = -1", "Multiply: -1 * (-445) = 445", "Divide: 44 / (-11) = -4", "Subtract: 445 - (-4) = 449"], "final_answer": "449", "answer_type": "integer", "kind": "expression", "math_text": "(-6 + 5) * (-445) - 44 / (-11)", "variable": null, "family": "expression_4op", "shape": "(- (* (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 5, \"c\": -445, \"d\": 44, \"e\": -11}", "seed": "7983377025091026002", "semantic_fingerprint": "sha256:396237c5b6ce81c13c12eaed64921caea47b4d29c25c19040c78824a79060596", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002914", "prompt": "Solve for x: x - 766 = -10(x - 4) + 33", "solution_steps": ["Expand: x - 766 = -10x + 40 + 33", "Combine constants: x - 766 = -10x + 73", "Add 10x to both sides: 11x - 766 = 73", "Add 766 to both sides: 11x = 839", "Divide both sides by 11: x = 839/11"], "final_answer": "839/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 766 = -10(x - 4) + 33", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 766, \"b\": -10, \"c\": 4, \"d\": 33}", "seed": "9698631972320569377", "semantic_fingerprint": "sha256:7ed5b49867cbe107da899abdce21f1ca9727b43e4a77f52986df031fd7ce7da7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002915", "prompt": "Compute: -589 - 658 - (-124) * (1 * (-789))", "solution_steps": ["Subtract: -589 - 658 = -1247", "Multiply: 1 * (-789) = -789", "Multiply: -124 * (-789) = 97836", "Subtract: -1247 - 97836 = -99083"], "final_answer": "-99083", "answer_type": "integer", "kind": "expression", "math_text": "-589 - 658 - (-124) * (1 * (-789))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -589, \"b\": 658, \"c\": -124, \"d\": 1, \"e\": -789}", "seed": "12303181171861442010", "semantic_fingerprint": "sha256:b16b1ab2b8ae91ade4a6decd71febbfb96e7a91bea266ea70f2d4a03b3328e12", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002916", "prompt": "What value of x satisfies -11(x + 4) + 4 = 7(x + 9) - 865?", "solution_steps": ["Expand: -11x - 44 + 4 = 7(x + 9) - 865", "Expand: -11x - 44 + 4 = 7x + 63 - 865", "Combine constants: -11x - 40 = 7x + 63 - 865", "Combine constants: -11x - 40 = 7x - 802", "Subtract 7x from both sides: -18x - 40 = -802", "Add 40 to both sides: -18x = -762", "Divide both sides by -18: x = 127/3"], "final_answer": "127/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 4) + 4 = 7(x + 9) - 865", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 4, \"c\": 4, \"d\": 7, \"e\": 9, \"f\": 865}", "seed": "8126516578539803905", "semantic_fingerprint": "sha256:560d2eaacbe8d8e9174ee2b6ec56ccd52cbf7f6cfc7edaf837a784f571eba6a2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002917", "prompt": "Calculate: -81 + (80 * 36 + (-70 - (76 - (-2))))", "solution_steps": ["Multiply: 80 * 36 = 2880", "Subtract: 76 - (-2) = 78", "Subtract: -70 - 78 = -148", "Add: 2880 + (-148) = 2732", "Add: -81 + 2732 = 2651"], "final_answer": "2651", "answer_type": "integer", "kind": "expression", "math_text": "-81 + (80 * 36 + (-70 - (76 - (-2))))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (* n n) (- n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 80, \"c\": 36, \"d\": -70, \"e\": 76, \"f\": -2}", "seed": "7007657506893328254", "semantic_fingerprint": "sha256:847b374e696cf9c358003d936d5c61858f624052a34998c3d1a252852ab4a725", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002918", "prompt": "What is -2 / (7 * (83 * (-14) / (-629)))?", "solution_steps": ["Multiply: 83 * (-14) = -1162", "Divide: -1162 / (-629) = 1162/629", "Multiply: 7 * (1162/629) = 8134/629", "Divide: -2 / (8134/629) = -629/4067"], "final_answer": "-629/4067", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (7 * (83 * (-14) / (-629)))", "variable": null, "family": "expression_4op", "shape": "(/ n (* n (/ (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 7, \"c\": 83, \"d\": -14, \"e\": -629}", "seed": "3372674374152579371", "semantic_fingerprint": "sha256:cfdbfb8b81e96a8127bbaa0621aeda021f6eaf4a12b19d7b5afdbf4c057b1c12", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002919", "prompt": "Calculate: -84 * (-574 / 78 / (-1))", "solution_steps": ["Divide: -574 / 78 = -287/39", "Divide: (-287/39) / (-1) = 287/39", "Multiply: -84 * (287/39) = -8036/13"], "final_answer": "-8036/13", "answer_type": "rational", "kind": "expression", "math_text": "-84 * (-574 / 78 / (-1))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": -574, \"c\": 78, \"d\": -1}", "seed": "11913593264430170048", "semantic_fingerprint": "sha256:24391ae517b92ae5c55d0c6b4a920da76e4700345233f6fe28f85e9a98f8682b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002920", "prompt": "Compute: -51 * (-4 - 73 / (-22) - 2)", "solution_steps": ["Divide: 73 / (-22) = -73/22", "Subtract: -4 - (-73/22) = -15/22", "Subtract: -15/22 - 2 = -59/22", "Multiply: -51 * (-59/22) = 3009/22"], "final_answer": "3009/22", "answer_type": "rational", "kind": "expression", "math_text": "-51 * (-4 - 73 / (-22) - 2)", "variable": null, "family": "expression_4op", "shape": "(* n (- (- n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -4, \"c\": 73, \"d\": -22, \"e\": 2}", "seed": "14515082476095571893", "semantic_fingerprint": "sha256:e518563526a4bd80fc9f16114cf9adf918597546a46cfc7bc1eeb8cb57073634", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002921", "prompt": "Compute: (29 + (-611) + 56) * (-32)", "solution_steps": ["Add: 29 + (-611) = -582", "Add: -582 + 56 = -526", "Multiply: -526 * (-32) = 16832"], "final_answer": "16832", "answer_type": "integer", "kind": "expression", "math_text": "(29 + (-611) + 56) * (-32)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": -611, \"c\": 56, \"d\": -32}", "seed": "7750488608774872513", "semantic_fingerprint": "sha256:9bcf6ba70aa3e9196e03145a7e7e4724decf153d167e99b210761a8774073613", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002922", "prompt": "Solve for x: 8(x - 50) = 12x - 380", "solution_steps": ["Expand: 8x - 400 = 12x - 380", "Subtract 12x from both sides: -4x - 400 = -380", "Add 400 to both sides: -4x = 20", "Divide both sides by -4: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 50) = 12x - 380", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 50, \"c\": 12, \"e\": -380, \"x\": -5}", "seed": "8537268738077733503", "semantic_fingerprint": "sha256:3aee49c319c8df6479addfcec0f0570ab6920d24186d67938ad24de11dcddd6b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002923", "prompt": "Compute: -63 + 55 / 13 / (-77)", "solution_steps": ["Divide: 55 / 13 = 55/13", "Divide: (55/13) / (-77) = -5/91", "Add: -63 + (-5/91) = -5738/91"], "final_answer": "-5738/91", "answer_type": "rational", "kind": "expression", "math_text": "-63 + 55 / 13 / (-77)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 55, \"c\": 13, \"d\": -77}", "seed": "9485079537870910350", "semantic_fingerprint": "sha256:42229ea855cb1403969f0e35ba3ed0811fde2653d603740d212ce85beb39ee0e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002924", "prompt": "Compute: (880 + 8) / (62 / (-70))", "solution_steps": ["Add: 880 + 8 = 888", "Divide: 62 / (-70) = -31/35", "Divide: 888 / (-31/35) = -31080/31"], "final_answer": "-31080/31", "answer_type": "rational", "kind": "expression", "math_text": "(880 + 8) / (62 / (-70))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 880, \"b\": 8, \"c\": 62, \"d\": -70}", "seed": "11039484892424393359", "semantic_fingerprint": "sha256:f40fe76dff4c241df7ad9ff12dc35e3785aa3c727f13bb3f404a68a1a0829a3b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002925", "prompt": "Calculate: (711 + 4 + 573) * 36", "solution_steps": ["Add: 711 + 4 = 715", "Add: 715 + 573 = 1288", "Multiply: 1288 * 36 = 46368"], "final_answer": "46368", "answer_type": "integer", "kind": "expression", "math_text": "(711 + 4 + 573) * 36", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 711, \"b\": 4, \"c\": 573, \"d\": 36}", "seed": "6863480718731049523", "semantic_fingerprint": "sha256:c75804a1b55e22a1c5fd4fff391a2a77126f0443168641bf4c6e5e195e988c37", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002926", "prompt": "Calculate: 10 / (-33 / ((-708 + 8) * (-1)))", "solution_steps": ["Add: -708 + 8 = -700", "Multiply: -700 * (-1) = 700", "Divide: -33 / 700 = -33/700", "Divide: 10 / (-33/700) = -7000/33"], "final_answer": "-7000/33", "answer_type": "rational", "kind": "expression", "math_text": "10 / (-33 / ((-708 + 8) * (-1)))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ n (* (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -33, \"c\": -708, \"d\": 8, \"e\": -1}", "seed": "16160702477393071068", "semantic_fingerprint": "sha256:27594ba056e378efd6457b009597e3fb580e2c477b7731987e4da84511b90349", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002927", "prompt": "Calculate: (-75 + (-4)) * 6 * (-4 + 979)", "solution_steps": ["Add: -75 + (-4) = -79", "Multiply: -79 * 6 = -474", "Add: -4 + 979 = 975", "Multiply: -474 * 975 = -462150"], "final_answer": "-462150", "answer_type": "integer", "kind": "expression", "math_text": "(-75 + (-4)) * 6 * (-4 + 979)", "variable": null, "family": "expression_4op", "shape": "(* (* (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -4, \"c\": 6, \"d\": -4, \"e\": 979}", "seed": "779399418912806602", "semantic_fingerprint": "sha256:d7e8bfaf9e2836ad7372556121e83dc04539b49dab0a0c87004d49ae84658ed9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002928", "prompt": "What is (-3 + (-43) - 482) / (4 - (2 - (-71)))?", "solution_steps": ["Add: -3 + (-43) = -46", "Subtract: -46 - 482 = -528", "Subtract: 2 - (-71) = 73", "Subtract: 4 - 73 = -69", "Divide: -528 / (-69) = 176/23"], "final_answer": "176/23", "answer_type": "rational", "kind": "expression", "math_text": "(-3 + (-43) - 482) / (4 - (2 - (-71)))", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -43, \"c\": 482, \"d\": 4, \"e\": 2, \"f\": -71}", "seed": "8238076143892668090", "semantic_fingerprint": "sha256:4cdbbaa61a87787b3aed7f0595343f5b08d99f5f6d9d9eddbf6f6551a607eb6d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002929", "prompt": "Compute: -866 / 49 + 267 / 7", "solution_steps": ["Divide: -866 / 49 = -866/49", "Divide: 267 / 7 = 267/7", "Add: -866/49 + 267/7 = 1003/49"], "final_answer": "1003/49", "answer_type": "rational", "kind": "expression", "math_text": "-866 / 49 + 267 / 7", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -866, \"b\": 49, \"c\": 267, \"d\": 7}", "seed": "5914299814049337290", "semantic_fingerprint": "sha256:65f0b853dea09198ac71cf0e5dd3504d689ca95d099f634c0905a45880834b9d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002930", "prompt": "Calculate: (487 - 10) / (574 / (-87 + 829))", "solution_steps": ["Subtract: 487 - 10 = 477", "Add: -87 + 829 = 742", "Divide: 574 / 742 = 41/53", "Divide: 477 / (41/53) = 25281/41"], "final_answer": "25281/41", "answer_type": "rational", "kind": "expression", "math_text": "(487 - 10) / (574 / (-87 + 829))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 487, \"b\": 10, \"c\": 574, \"d\": -87, \"e\": 829}", "seed": "10823383520224312694", "semantic_fingerprint": "sha256:0d7264dd7e7856d262c2d90c5479fd41809aefd9335748cd7024b21ae3a839f6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002931", "prompt": "What is 407 / (-120 - (-90) + 824)?", "solution_steps": ["Subtract: -120 - (-90) = -30", "Add: -30 + 824 = 794", "Divide: 407 / 794 = 407/794"], "final_answer": "407/794", "answer_type": "rational", "kind": "expression", "math_text": "407 / (-120 - (-90) + 824)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 407, \"b\": -120, \"c\": -90, \"d\": 824}", "seed": "10039805783545949664", "semantic_fingerprint": "sha256:e497ad7ac08a8402f7e5bcb329766bc6767fe38c5224983eb490d14bc5bd9a1f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002932", "prompt": "What is 847 / (64 + (-9) + (-422 - 56))?", "solution_steps": ["Add: 64 + (-9) = 55", "Subtract: -422 - 56 = -478", "Add: 55 + (-478) = -423", "Divide: 847 / (-423) = -847/423"], "final_answer": "-847/423", "answer_type": "rational", "kind": "expression", "math_text": "847 / (64 + (-9) + (-422 - 56))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (+ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 847, \"b\": 64, \"c\": -9, \"d\": -422, \"e\": 56}", "seed": "139111509507675246", "semantic_fingerprint": "sha256:b12db710a6421834d1e5d60d080d801f77b2355399762354c7de7a242c3875ef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002933", "prompt": "Evaluate: 46 + 719 / 99 / 25", "solution_steps": ["Divide: 719 / 99 = 719/99", "Divide: (719/99) / 25 = 719/2475", "Add: 46 + 719/2475 = 114569/2475"], "final_answer": "114569/2475", "answer_type": "rational", "kind": "expression", "math_text": "46 + 719 / 99 / 25", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": 719, \"c\": 99, \"d\": 25}", "seed": "3301214701586900879", "semantic_fingerprint": "sha256:0f2fc6d24888d3af871f1fd3c29a6572a5e17b3800d1f9e439422c2c4bf34d0f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002934", "prompt": "Compute: (95 * (-8) + (-7)) * (-88)", "solution_steps": ["Multiply: 95 * (-8) = -760", "Add: -760 + (-7) = -767", "Multiply: -767 * (-88) = 67496"], "final_answer": "67496", "answer_type": "integer", "kind": "expression", "math_text": "(95 * (-8) + (-7)) * (-88)", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -8, \"c\": -7, \"d\": -88}", "seed": "4845794360686218712", "semantic_fingerprint": "sha256:7ae4829d0a29e60476bdba2dc348af52799069c9175ea9fda4b4bc80cdb298cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002935", "prompt": "Calculate: (55 * 1 + 73) * 48", "solution_steps": ["Multiply: 55 * 1 = 55", "Add: 55 + 73 = 128", "Multiply: 128 * 48 = 6144"], "final_answer": "6144", "answer_type": "integer", "kind": "expression", "math_text": "(55 * 1 + 73) * 48", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 1, \"c\": 73, \"d\": 48}", "seed": "16212438970585326040", "semantic_fingerprint": "sha256:7e0eff45c09757bb41c98b3d73ce9b08331fa9e5865183949ab29d95f3bcc469", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002936", "prompt": "Find x: 2(x - 156) = 8x - 378", "solution_steps": ["Expand: 2x - 312 = 8x - 378", "Subtract 8x from both sides: -6x - 312 = -378", "Add 312 to both sides: -6x = -66", "Divide both sides by -6: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 156) = 8x - 378", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 156, \"c\": 8, \"e\": -378, \"x\": 11}", "seed": "12406397211437643637", "semantic_fingerprint": "sha256:2a21f0e1e7fd4145231b86ea53c3dc2064dd7079418480c400e87cf690debf13", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002937", "prompt": "Solve the equation 9(x + 92) + 68 = 12(x + 137) - 733 for x.", "solution_steps": ["Expand: 9x + 828 + 68 = 12(x + 137) - 733", "Expand: 9x + 828 + 68 = 12x + 1644 - 733", "Combine constants: 9x + 896 = 12x + 1644 - 733", "Combine constants: 9x + 896 = 12x + 911", "Subtract 12x from both sides: -3x + 896 = 911", "Subtract 896 from both sides: -3x = 15", "Divide both sides by -3: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 92) + 68 = 12(x + 137) - 733", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 92, \"c\": 68, \"d\": 12, \"e\": 137, \"g\": -733, \"x\": -5}", "seed": "6702034990527202348", "semantic_fingerprint": "sha256:545febd2f12e54abb35abce90aef2b6782b18816b202272a36d2f0e9d554a305", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002938", "prompt": "Solve for x: 6(x - 53) + 8 = -3x + 7", "solution_steps": ["Expand: 6x - 318 + 8 = -3x + 7", "Combine constants: 6x - 310 = -3x + 7", "Add 3x to both sides: 9x - 310 = 7", "Add 310 to both sides: 9x = 317", "Divide both sides by 9: x = 317/9"], "final_answer": "317/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 53) + 8 = -3x + 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 53, \"c\": 8, \"d\": -3, \"e\": 7}", "seed": "12874844184762931835", "semantic_fingerprint": "sha256:5ffceee587bccd7faa722150928bfb00b6cc7ab423c82e0b784064333c897966", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002939", "prompt": "Find x: -11(x - 8) - 35 = -2(x - 13) - 9", "solution_steps": ["Expand: -11x + 88 - 35 = -2(x - 13) - 9", "Expand: -11x + 88 - 35 = -2x + 26 - 9", "Combine constants: -11x + 53 = -2x + 26 - 9", "Combine constants: -11x + 53 = -2x + 17", "Add 2x to both sides: -9x + 53 = 17", "Subtract 53 from both sides: -9x = -36", "Divide both sides by -9: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 8) - 35 = -2(x - 13) - 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 8, \"c\": 35, \"d\": -2, \"e\": 13, \"g\": -9, \"x\": 4}", "seed": "5212212225673480104", "semantic_fingerprint": "sha256:67dfe58f0b4f94054a9fcdbc420692673741e7628be0f450d2cddaf72730981a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002940", "prompt": "Solve the equation -2(x - 12) - 7 = 5(x - 564) for x.", "solution_steps": ["Expand: -2x + 24 - 7 = 5(x - 564)", "Expand: -2x + 24 - 7 = 5x - 2820", "Combine constants: -2x + 17 = 5x - 2820", "Subtract 5x from both sides: -7x + 17 = -2820", "Subtract 17 from both sides: -7x = -2837", "Divide both sides by -7: x = 2837/7"], "final_answer": "2837/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 12) - 7 = 5(x - 564)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 12, \"c\": 7, \"d\": 5, \"e\": 564}", "seed": "13912559700991730466", "semantic_fingerprint": "sha256:548835405e855042c1f03d828f7b3ec75e8ea9a195cbe387b9f6383eadce0fad", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002941", "prompt": "What value of x satisfies -2(x - 91) - 416 = -3(x - 853) - 98?", "solution_steps": ["Expand: -2x + 182 - 416 = -3(x - 853) - 98", "Expand: -2x + 182 - 416 = -3x + 2559 - 98", "Combine constants: -2x - 234 = -3x + 2559 - 98", "Combine constants: -2x - 234 = -3x + 2461", "Add 3x to both sides: x - 234 = 2461", "Add 234 to both sides: x = 2695"], "final_answer": "2695", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 91) - 416 = -3(x - 853) - 98", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 91, \"c\": 416, \"d\": -3, \"e\": 853, \"f\": 98}", "seed": "12784658106071317846", "semantic_fingerprint": "sha256:72bb56fef8830f925b5a97db871165fd218f3cc74e293fa6d2357ffd3281a269", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002942", "prompt": "Compute: (54 - 34) / (-388 * (-7))", "solution_steps": ["Subtract: 54 - 34 = 20", "Multiply: -388 * (-7) = 2716", "Divide: 20 / 2716 = 5/679"], "final_answer": "5/679", "answer_type": "rational", "kind": "expression", "math_text": "(54 - 34) / (-388 * (-7))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 34, \"c\": -388, \"d\": -7}", "seed": "3615195628351167046", "semantic_fingerprint": "sha256:b13ad1d375a1ebb0d10cb14b991bee410e3e26df2a258ac30224702aa099ec68", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002943", "prompt": "Solve the equation 8(x - 8) + 63 = 2(x + 13) - 196 for x.", "solution_steps": ["Expand: 8x - 64 + 63 = 2(x + 13) - 196", "Expand: 8x - 64 + 63 = 2x + 26 - 196", "Combine constants: 8x - 1 = 2x + 26 - 196", "Combine constants: 8x - 1 = 2x - 170", "Subtract 2x from both sides: 6x - 1 = -170", "Add 1 to both sides: 6x = -169", "Divide both sides by 6: x = -169/6"], "final_answer": "-169/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 8) + 63 = 2(x + 13) - 196", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": 63, \"d\": 2, \"e\": 13, \"f\": 196}", "seed": "15114635586643503440", "semantic_fingerprint": "sha256:1531fd77351094110e95ddba9b3c78801ae04f789ee115cf846611b096308946", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002944", "prompt": "Compute: 16 + (-156) / 51 / 5", "solution_steps": ["Divide: -156 / 51 = -52/17", "Divide: (-52/17) / 5 = -52/85", "Add: 16 + (-52/85) = 1308/85"], "final_answer": "1308/85", "answer_type": "rational", "kind": "expression", "math_text": "16 + (-156) / 51 / 5", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": -156, \"c\": 51, \"d\": 5}", "seed": "2704205047009909308", "semantic_fingerprint": "sha256:59c09f39c983b6a88cace9def4f984269992ece3b27a35dd3f7636da6908c807", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002945", "prompt": "Evaluate: 0 / (8 - 82 + (-706))", "solution_steps": ["Subtract: 8 - 82 = -74", "Add: -74 + (-706) = -780", "Divide: 0 / (-780) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (8 - 82 + (-706))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 8, \"c\": 82, \"d\": -706}", "seed": "14299510896085850210", "semantic_fingerprint": "sha256:2bc89ed76c753dd5797206161b073da45c232eb7bcc21852722b3d5e9174cf2f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002946", "prompt": "What is 0 / (-2 - 8 + 471)?", "solution_steps": ["Subtract: -2 - 8 = -10", "Add: -10 + 471 = 461", "Divide: 0 / 461 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-2 - 8 + 471)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -2, \"c\": 8, \"d\": 471}", "seed": "17168953418721457830", "semantic_fingerprint": "sha256:88008e427a9b8df3b592364cfa1bec767decdfbd075312780ddc9b6ab913f8ee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002947", "prompt": "What value of x satisfies 6x - 77 = 3(x + 39) + 36?", "solution_steps": ["Expand: 6x - 77 = 3x + 117 + 36", "Combine constants: 6x - 77 = 3x + 153", "Subtract 3x from both sides: 3x - 77 = 153", "Add 77 to both sides: 3x = 230", "Divide both sides by 3: x = 230/3"], "final_answer": "230/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x - 77 = 3(x + 39) + 36", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 77, \"c\": 3, \"d\": 39, \"e\": 36}", "seed": "6009308310794009846", "semantic_fingerprint": "sha256:3a8664011cb3432134fe54d23a9ac9364c221bda0ced3f92e28096755bb38965", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002948", "prompt": "Solve for x: 7(x - 89) = 10x - 602", "solution_steps": ["Expand: 7x - 623 = 10x - 602", "Subtract 10x from both sides: -3x - 623 = -602", "Add 623 to both sides: -3x = 21", "Divide both sides by -3: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 89) = 10x - 602", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 89, \"c\": 10, \"e\": -602, \"x\": -7}", "seed": "3515874544741250305", "semantic_fingerprint": "sha256:d04f82c79ad0c5b547b951b4be780a43d5bc1860eb871f1497644dcd2b283cfd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002949", "prompt": "Evaluate: (-9 + 608) * (-97 - (-5)) / 799", "solution_steps": ["Add: -9 + 608 = 599", "Subtract: -97 - (-5) = -92", "Multiply: 599 * (-92) = -55108", "Divide: -55108 / 799 = -55108/799"], "final_answer": "-55108/799", "answer_type": "rational", "kind": "expression", "math_text": "(-9 + 608) * (-97 - (-5)) / 799", "variable": null, "family": "expression_4op", "shape": "(/ (* (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 608, \"c\": -97, \"d\": -5, \"e\": 799}", "seed": "18195518637722461110", "semantic_fingerprint": "sha256:d94717ad6782a138b9a97e4f3c1e5406d6ff448ad69c5c6b0958cadacb686d26", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002950", "prompt": "Compute: -8 * (-222 - 459 + 68)", "solution_steps": ["Subtract: -222 - 459 = -681", "Add: -681 + 68 = -613", "Multiply: -8 * (-613) = 4904"], "final_answer": "4904", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (-222 - 459 + 68)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -222, \"c\": 459, \"d\": 68}", "seed": "11047811729512531861", "semantic_fingerprint": "sha256:c0b9adb0bebdd5d511d0aa2f7c15190c88b8bb03ba45b2ff96780b0349ab9d18", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002951", "prompt": "What is (9 + (-3) * 94) * (-5 - (-93))?", "solution_steps": ["Multiply: -3 * 94 = -282", "Add: 9 + (-282) = -273", "Subtract: -5 - (-93) = 88", "Multiply: -273 * 88 = -24024"], "final_answer": "-24024", "answer_type": "integer", "kind": "expression", "math_text": "(9 + (-3) * 94) * (-5 - (-93))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -3, \"c\": 94, \"d\": -5, \"e\": -93}", "seed": "15914885976231055915", "semantic_fingerprint": "sha256:bc1da93b16a1eb5bd8b557a6ac27d05ae872b8400353e5db9a1971210d36725c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002952", "prompt": "What is (133 + 1) / (928 / (-637 + 8 * 5))?", "solution_steps": ["Add: 133 + 1 = 134", "Multiply: 8 * 5 = 40", "Add: -637 + 40 = -597", "Divide: 928 / (-597) = -928/597", "Divide: 134 / (-928/597) = -39999/464"], "final_answer": "-39999/464", "answer_type": "rational", "kind": "expression", "math_text": "(133 + 1) / (928 / (-637 + 8 * 5))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (/ n (+ n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 133, \"b\": 1, \"c\": 928, \"d\": -637, \"e\": 8, \"f\": 5}", "seed": "18212415622501873137", "semantic_fingerprint": "sha256:60ff4c8c02d8de23947478b4d1d6ab253c3c3668ac8168ae8da05b98ef4a8773", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002953", "prompt": "Calculate: 2 + (-6) / (850 - 73)", "solution_steps": ["Subtract: 850 - 73 = 777", "Divide: -6 / 777 = -2/259", "Add: 2 + (-2/259) = 516/259"], "final_answer": "516/259", "answer_type": "rational", "kind": "expression", "math_text": "2 + (-6) / (850 - 73)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -6, \"c\": 850, \"d\": 73}", "seed": "11137902869095123647", "semantic_fingerprint": "sha256:ed5af9a1b9bb945fe3ec02925f00c50bf4a991286326c07ae211d4a0d57addee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002954", "prompt": "Solve the equation -9(x - 43) = 7x - 1 for x.", "solution_steps": ["Expand: -9x + 387 = 7x - 1", "Subtract 7x from both sides: -16x + 387 = -1", "Subtract 387 from both sides: -16x = -388", "Divide both sides by -16: x = 97/4"], "final_answer": "97/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 43) = 7x - 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 43, \"c\": 7, \"d\": 1}", "seed": "1092519602652864445", "semantic_fingerprint": "sha256:5470f9f00c0dc83b443189855a5b2b4f2b30983f41914bcde0466b0cbdba20d0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002955", "prompt": "What is (-300 / (-5) + (-5)) * (-470)?", "solution_steps": ["Divide: -300 / (-5) = 60", "Add: 60 + (-5) = 55", "Multiply: 55 * (-470) = -25850"], "final_answer": "-25850", "answer_type": "integer", "kind": "expression", "math_text": "(-300 / (-5) + (-5)) * (-470)", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -300, \"b\": -5, \"c\": -5, \"d\": -470}", "seed": "14426549733242045149", "semantic_fingerprint": "sha256:d338b891e3e33dd16b20e502b24311882bbe4481b879f3b888302e0692ad25d1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002956", "prompt": "Calculate: (-4 + (-84)) / (456 * (89 / (-55) / 8))", "solution_steps": ["Add: -4 + (-84) = -88", "Divide: 89 / (-55) = -89/55", "Divide: (-89/55) / 8 = -89/440", "Multiply: 456 * (-89/440) = -5073/55", "Divide: -88 / (-5073/55) = 4840/5073"], "final_answer": "4840/5073", "answer_type": "rational", "kind": "expression", "math_text": "(-4 + (-84)) / (456 * (89 / (-55) / 8))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (* n (/ (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -84, \"c\": 456, \"d\": 89, \"e\": -55, \"f\": 8}", "seed": "15543721433550211262", "semantic_fingerprint": "sha256:adcd00a4f1ea8e762d5e5c9576d7d61645a58af475b12592415786d340a855d3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002957", "prompt": "Evaluate: 5 + (-2) / (46 - (-4))", "solution_steps": ["Subtract: 46 - (-4) = 50", "Divide: -2 / 50 = -1/25", "Add: 5 + (-1/25) = 124/25"], "final_answer": "124/25", "answer_type": "rational", "kind": "expression", "math_text": "5 + (-2) / (46 - (-4))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -2, \"c\": 46, \"d\": -4}", "seed": "1188116039306098773", "semantic_fingerprint": "sha256:e33865c166b018326d7be9f3776424959807478691119f5433bf1e52cb36caab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002958", "prompt": "What is (-339 / 3 - (-32)) / (5 - (-784))?", "solution_steps": ["Divide: -339 / 3 = -113", "Subtract: -113 - (-32) = -81", "Subtract: 5 - (-784) = 789", "Divide: -81 / 789 = -27/263"], "final_answer": "-27/263", "answer_type": "rational", "kind": "expression", "math_text": "(-339 / 3 - (-32)) / (5 - (-784))", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -339, \"b\": 3, \"c\": -32, \"d\": 5, \"e\": -784}", "seed": "15757072984828988433", "semantic_fingerprint": "sha256:526d6a057fc8bf548707303e39f90f900451e9b168b00af391b71adef32fde9a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002959", "prompt": "What value of x satisfies -2(x - 406) + 56 = -10x + 780?", "solution_steps": ["Expand: -2x + 812 + 56 = -10x + 780", "Combine constants: -2x + 868 = -10x + 780", "Add 10x to both sides: 8x + 868 = 780", "Subtract 868 from both sides: 8x = -88", "Divide both sides by 8: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 406) + 56 = -10x + 780", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 406, \"c\": 56, \"d\": -10, \"f\": 780, \"x\": -11}", "seed": "8714880499205972130", "semantic_fingerprint": "sha256:927775342a4e842d2840347c9c304e0b8551f21d632a7b9dc8cdf37590a8ba0b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002960", "prompt": "Solve for x: x - 13 = 12(x - 19) + 94", "solution_steps": ["Expand: x - 13 = 12x - 228 + 94", "Combine constants: x - 13 = 12x - 134", "Subtract 12x from both sides: -11x - 13 = -134", "Add 13 to both sides: -11x = -121", "Divide both sides by -11: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 13 = 12(x - 19) + 94", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": 12, \"c\": 19, \"e\": 94, \"x\": 11}", "seed": "15662056341183362092", "semantic_fingerprint": "sha256:f423bdf67daa74bfff16b99cb980e34706fb91c78e467bb99f8e221ac4b24259", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002961", "prompt": "Solve for x: 2(x + 16) - 666 = x - 623", "solution_steps": ["Expand: 2x + 32 - 666 = x - 623", "Combine constants: 2x - 634 = x - 623", "Subtract x from both sides: x - 634 = -623", "Add 634 to both sides: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 16) - 666 = x - 623", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 16, \"c\": 666, \"e\": -623, \"x\": 11}", "seed": "13180283534361259448", "semantic_fingerprint": "sha256:5328152d320a5549aad40655f7ce048f94536fccb780ca2e8a4ac8ca2158622d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002962", "prompt": "Solve for x: 2(x - 90) - 59 = 9(x - 360)", "solution_steps": ["Expand: 2x - 180 - 59 = 9(x - 360)", "Expand: 2x - 180 - 59 = 9x - 3240", "Combine constants: 2x - 239 = 9x - 3240", "Subtract 9x from both sides: -7x - 239 = -3240", "Add 239 to both sides: -7x = -3001", "Divide both sides by -7: x = 3001/7"], "final_answer": "3001/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 90) - 59 = 9(x - 360)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 90, \"c\": 59, \"d\": 9, \"e\": 360}", "seed": "5199552673969577103", "semantic_fingerprint": "sha256:7ab96b2651304183299f14db3fdd7ed3782e9001f472172fbe4bed90763bce9c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002963", "prompt": "Calculate: -3 + (-840) - (406 + 71)", "solution_steps": ["Add: -3 + (-840) = -843", "Add: 406 + 71 = 477", "Subtract: -843 - 477 = -1320"], "final_answer": "-1320", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (-840) - (406 + 71)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -840, \"c\": 406, \"d\": 71}", "seed": "8608364581953352200", "semantic_fingerprint": "sha256:d14565e1f77cad34c4d46bef417ff6fd8aa3ba2d8048545bcb07c44dc89274da", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002964", "prompt": "Compute: 9 + 488 - (-1 - 0) * (474 * (-3))", "solution_steps": ["Add: 9 + 488 = 497", "Subtract: -1 - 0 = -1", "Multiply: 474 * (-3) = -1422", "Multiply: -1 * (-1422) = 1422", "Subtract: 497 - 1422 = -925"], "final_answer": "-925", "answer_type": "integer", "kind": "expression", "math_text": "9 + 488 - (-1 - 0) * (474 * (-3))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (* (- n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 488, \"c\": -1, \"d\": 0, \"e\": 474, \"f\": -3}", "seed": "7315787328310880239", "semantic_fingerprint": "sha256:11198076a79f283d79f2db61f5c424300d0967a3a4f0390a05bd71ebe55ea799", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002965", "prompt": "What is -29 * (5 - 2) - (25 + (212 - 0))?", "solution_steps": ["Subtract: 5 - 2 = 3", "Multiply: -29 * 3 = -87", "Subtract: 212 - 0 = 212", "Add: 25 + 212 = 237", "Subtract: -87 - 237 = -324"], "final_answer": "-324", "answer_type": "integer", "kind": "expression", "math_text": "-29 * (5 - 2) - (25 + (212 - 0))", "variable": null, "family": "expression_5op", "shape": "(- (* n (- n n)) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": 5, \"c\": 2, \"d\": 25, \"e\": 212, \"f\": 0}", "seed": "9222923234323507620", "semantic_fingerprint": "sha256:04a374dc93766fbb4de32b2a9f9d18b811d45aa1c012642024b50c0fdfb958fe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002966", "prompt": "What value of x satisfies 10(x - 53) = 12x - 530?", "solution_steps": ["Expand: 10x - 530 = 12x - 530", "Subtract 12x from both sides: -2x - 530 = -530", "Add 530 to both sides: -2x = 0", "Divide both sides by -2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 53) = 12x - 530", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 53, \"c\": 12, \"e\": -530, \"x\": 0}", "seed": "3132095160053208030", "semantic_fingerprint": "sha256:f30ec6692fa3c922ebcbcc2aba9c8aec6f4336138cb47bde3967b4ce5587d98f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002967", "prompt": "Evaluate: -2 * 8 + (144 / 7 - 5)", "solution_steps": ["Multiply: -2 * 8 = -16", "Divide: 144 / 7 = 144/7", "Subtract: 144/7 - 5 = 109/7", "Add: -16 + 109/7 = -3/7"], "final_answer": "-3/7", "answer_type": "rational", "kind": "expression", "math_text": "-2 * 8 + (144 / 7 - 5)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 8, \"c\": 144, \"d\": 7, \"e\": 5}", "seed": "6049304498565450491", "semantic_fingerprint": "sha256:b2cede18d33a84705793f5ddeaf797ba96b7d5e9dc858603e608ada5fec7f317", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002968", "prompt": "What is 6 * (-440) - (68 - (22 + (-96)))?", "solution_steps": ["Multiply: 6 * (-440) = -2640", "Add: 22 + (-96) = -74", "Subtract: 68 - (-74) = 142", "Subtract: -2640 - 142 = -2782"], "final_answer": "-2782", "answer_type": "integer", "kind": "expression", "math_text": "6 * (-440) - (68 - (22 + (-96)))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -440, \"c\": 68, \"d\": 22, \"e\": -96}", "seed": "989902236311945404", "semantic_fingerprint": "sha256:4eca3419f80e8f2845e5d9a3275834f81706190a9465b0e99c7c61ac6784d3bb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002969", "prompt": "Find x: x - 43 = 7(x - 7) + 12", "solution_steps": ["Expand: x - 43 = 7x - 49 + 12", "Combine constants: x - 43 = 7x - 37", "Subtract 7x from both sides: -6x - 43 = -37", "Add 43 to both sides: -6x = 6", "Divide both sides by -6: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 43 = 7(x - 7) + 12", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": 7, \"c\": 7, \"e\": 12, \"x\": -1}", "seed": "4697778015470769440", "semantic_fingerprint": "sha256:d82822c0af38d694c160c0182f78bd7997b29cbe759fa2c8fcbc3b5b93d29e4f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002970", "prompt": "What is -7 + (-23) - (-77 + 38)?", "solution_steps": ["Add: -7 + (-23) = -30", "Add: -77 + 38 = -39", "Subtract: -30 - (-39) = 9"], "final_answer": "9", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (-23) - (-77 + 38)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -23, \"c\": -77, \"d\": 38}", "seed": "13246960509480637956", "semantic_fingerprint": "sha256:892ae0aafb14b75fc54f9e994996b6351aaaebfd05e6bf478d78d853e87f6533", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002971", "prompt": "Solve for x: 5(x - 9) - 34 = 8(x - 508) - 7", "solution_steps": ["Expand: 5x - 45 - 34 = 8(x - 508) - 7", "Expand: 5x - 45 - 34 = 8x - 4064 - 7", "Combine constants: 5x - 79 = 8x - 4064 - 7", "Combine constants: 5x - 79 = 8x - 4071", "Subtract 8x from both sides: -3x - 79 = -4071", "Add 79 to both sides: -3x = -3992", "Divide both sides by -3: x = 3992/3"], "final_answer": "3992/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 9) - 34 = 8(x - 508) - 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 34, \"d\": 8, \"e\": 508, \"f\": 7}", "seed": "4366599498689084336", "semantic_fingerprint": "sha256:03ead877ef2f2ff078f593e117a6f8fa7cfb521d4c8100e8b5ceaf3a6b8581d2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002972", "prompt": "What value of x satisfies -10x - 67 = -11(x + 9) + 26?", "solution_steps": ["Expand: -10x - 67 = -11x - 99 + 26", "Combine constants: -10x - 67 = -11x - 73", "Add 11x to both sides: x - 67 = -73", "Add 67 to both sides: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x - 67 = -11(x + 9) + 26", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 67, \"c\": -11, \"d\": 9, \"f\": 26, \"x\": -6}", "seed": "12909904230067509492", "semantic_fingerprint": "sha256:80dfc19ec648b88c6650737e28463d582f4c5c7fd35890ca94be94deba33f911", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002973", "prompt": "Evaluate: -4 + 5 / (54 - (-58))", "solution_steps": ["Subtract: 54 - (-58) = 112", "Divide: 5 / 112 = 5/112", "Add: -4 + 5/112 = -443/112"], "final_answer": "-443/112", "answer_type": "rational", "kind": "expression", "math_text": "-4 + 5 / (54 - (-58))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 5, \"c\": 54, \"d\": -58}", "seed": "15900008189113180005", "semantic_fingerprint": "sha256:a5d522d0d5d389cf2063a1bf9151aeb84031d2123bb9452d1fcbe63c09f35602", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002974", "prompt": "What value of x satisfies 2(x - 111) = -6x - 262?", "solution_steps": ["Expand: 2x - 222 = -6x - 262", "Add 6x to both sides: 8x - 222 = -262", "Add 222 to both sides: 8x = -40", "Divide both sides by 8: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 111) = -6x - 262", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 111, \"c\": -6, \"e\": -262, \"x\": -5}", "seed": "14519508242097137543", "semantic_fingerprint": "sha256:f365677b8e330c60f709e6c9f2eb5a8dd7dd6f559d0428244eb882dc599ae661", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002975", "prompt": "What is (-141 / (-2) + 2) * (-33)?", "solution_steps": ["Divide: -141 / (-2) = 141/2", "Add: 141/2 + 2 = 145/2", "Multiply: (145/2) * (-33) = -4785/2"], "final_answer": "-4785/2", "answer_type": "rational", "kind": "expression", "math_text": "(-141 / (-2) + 2) * (-33)", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -141, \"b\": -2, \"c\": 2, \"d\": -33}", "seed": "11819936189947914630", "semantic_fingerprint": "sha256:9ee0c92550a5a3214b73f975038b90b3c0147e972eb785cfc489e589622eff8d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002976", "prompt": "Evaluate: (-142 + 3) / (-74 / (-72)) * 23", "solution_steps": ["Add: -142 + 3 = -139", "Divide: -74 / (-72) = 37/36", "Divide: -139 / (37/36) = -5004/37", "Multiply: (-5004/37) * 23 = -115092/37"], "final_answer": "-115092/37", "answer_type": "rational", "kind": "expression", "math_text": "(-142 + 3) / (-74 / (-72)) * 23", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -142, \"b\": 3, \"c\": -74, \"d\": -72, \"e\": 23}", "seed": "8623720288658728031", "semantic_fingerprint": "sha256:1eb0f33665ff92e4200c8e6cc1a8feddbe4301dc0243fac99b85e3615981280a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002977", "prompt": "Evaluate: 8 / (-126) * (-39 / (1 + 72))", "solution_steps": ["Divide: 8 / (-126) = -4/63", "Add: 1 + 72 = 73", "Divide: -39 / 73 = -39/73", "Multiply: (-4/63) * (-39/73) = 52/1533"], "final_answer": "52/1533", "answer_type": "rational", "kind": "expression", "math_text": "8 / (-126) * (-39 / (1 + 72))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -126, \"c\": -39, \"d\": 1, \"e\": 72}", "seed": "9289469971038283655", "semantic_fingerprint": "sha256:e635237b619d3d9a24b06b4f8dda771bece050131f47d72eb6da73b698ea84d0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002978", "prompt": "What is (-823 + (31 / 37 + (-38))) / (-7)?", "solution_steps": ["Divide: 31 / 37 = 31/37", "Add: 31/37 + (-38) = -1375/37", "Add: -823 + (-1375/37) = -31826/37", "Divide: (-31826/37) / (-7) = 31826/259"], "final_answer": "31826/259", "answer_type": "rational", "kind": "expression", "math_text": "(-823 + (31 / 37 + (-38))) / (-7)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (+ (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -823, \"b\": 31, \"c\": 37, \"d\": -38, \"e\": -7}", "seed": "9523555846381647699", "semantic_fingerprint": "sha256:f7fd2f3284516a878b4c1865b01f20f035e92356bd782d7419730d74ce0fe6fa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002979", "prompt": "Solve for x: 8(x - 571) + 637 = -5(x + 69) - 19", "solution_steps": ["Expand: 8x - 4568 + 637 = -5(x + 69) - 19", "Expand: 8x - 4568 + 637 = -5x - 345 - 19", "Combine constants: 8x - 3931 = -5x - 345 - 19", "Combine constants: 8x - 3931 = -5x - 364", "Add 5x to both sides: 13x - 3931 = -364", "Add 3931 to both sides: 13x = 3567", "Divide both sides by 13: x = 3567/13"], "final_answer": "3567/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 571) + 637 = -5(x + 69) - 19", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 571, \"c\": 637, \"d\": -5, \"e\": 69, \"f\": 19}", "seed": "7294945788311495810", "semantic_fingerprint": "sha256:ae36acfcfc400a139befe54b5315a0b6be45924e6052fd2c6e362c26caf98c83", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002980", "prompt": "Calculate: 62 / 1 - (-430 * 34 + (-76))", "solution_steps": ["Divide: 62 / 1 = 62", "Multiply: -430 * 34 = -14620", "Add: -14620 + (-76) = -14696", "Subtract: 62 - (-14696) = 14758"], "final_answer": "14758", "answer_type": "integer", "kind": "expression", "math_text": "62 / 1 - (-430 * 34 + (-76))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": 1, \"c\": -430, \"d\": 34, \"e\": -76}", "seed": "12029162676007619971", "semantic_fingerprint": "sha256:129287ea74763743ba3609fcbef6f320cad713e85da2f82aa48447a68cdbb240", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002981", "prompt": "Compute: -14 * (-42) / (-684) - (-47 + (-23))", "solution_steps": ["Multiply: -14 * (-42) = 588", "Divide: 588 / (-684) = -49/57", "Add: -47 + (-23) = -70", "Subtract: -49/57 - (-70) = 3941/57"], "final_answer": "3941/57", "answer_type": "rational", "kind": "expression", "math_text": "-14 * (-42) / (-684) - (-47 + (-23))", "variable": null, "family": "expression_4op", "shape": "(- (/ (* n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": -42, \"c\": -684, \"d\": -47, \"e\": -23}", "seed": "17230752008049881078", "semantic_fingerprint": "sha256:2f52b17cfbef110ba24cc59d6ead62bf9141e681e2d6d675516e9ced5633ba49", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002982", "prompt": "Calculate: -158 / (-3) - (-435) * (-11 - (-5))", "solution_steps": ["Divide: -158 / (-3) = 158/3", "Subtract: -11 - (-5) = -6", "Multiply: -435 * (-6) = 2610", "Subtract: 158/3 - 2610 = -7672/3"], "final_answer": "-7672/3", "answer_type": "rational", "kind": "expression", "math_text": "-158 / (-3) - (-435) * (-11 - (-5))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -158, \"b\": -3, \"c\": -435, \"d\": -11, \"e\": -5}", "seed": "1145870256671513866", "semantic_fingerprint": "sha256:2c6345a1c2856266bc6e4603c086a14f904f8e027acdc1fa847fd7ab354fb3d7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002983", "prompt": "Calculate: (5 * 126 + 5) * (-82)", "solution_steps": ["Multiply: 5 * 126 = 630", "Add: 630 + 5 = 635", "Multiply: 635 * (-82) = -52070"], "final_answer": "-52070", "answer_type": "integer", "kind": "expression", "math_text": "(5 * 126 + 5) * (-82)", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 126, \"c\": 5, \"d\": -82}", "seed": "144301430873061207", "semantic_fingerprint": "sha256:6ecf57f4c0e73015b5a89c16b52ee7eb2d6ce34676ecd1129afa243aca6f8bbe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002984", "prompt": "Calculate: 1 * (4 / 5) + (0 - 83)", "solution_steps": ["Divide: 4 / 5 = 4/5", "Multiply: 1 * (4/5) = 4/5", "Subtract: 0 - 83 = -83", "Add: 4/5 + (-83) = -411/5"], "final_answer": "-411/5", "answer_type": "rational", "kind": "expression", "math_text": "1 * (4 / 5) + (0 - 83)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 4, \"c\": 5, \"d\": 0, \"e\": 83}", "seed": "759271021973104199", "semantic_fingerprint": "sha256:fee58a7db632abb18563fd2db6f7082092a7a8181828b243ff510e010fe132de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002985", "prompt": "Evaluate: 5 * (-49 * 270) - 10", "solution_steps": ["Multiply: -49 * 270 = -13230", "Multiply: 5 * (-13230) = -66150", "Subtract: -66150 - 10 = -66160"], "final_answer": "-66160", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-49 * 270) - 10", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -49, \"c\": 270, \"d\": 10}", "seed": "3042319949388509057", "semantic_fingerprint": "sha256:f8fbf19671020ba7ada5958327566f194132b5cb6351714380f7e18a5f54409d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002986", "prompt": "Evaluate: -9 / (-60) / (-97 * (-72 / 88))", "solution_steps": ["Divide: -9 / (-60) = 3/20", "Divide: -72 / 88 = -9/11", "Multiply: -97 * (-9/11) = 873/11", "Divide: (3/20) / (873/11) = 11/5820"], "final_answer": "11/5820", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-60) / (-97 * (-72 / 88))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (* n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -60, \"c\": -97, \"d\": -72, \"e\": 88}", "seed": "5035138548297980469", "semantic_fingerprint": "sha256:76d5ae79a0a775ab7c1e01ca3695962b56f57f866a8623551030c0a2d0e78dae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002987", "prompt": "Compute: -19 - (-5) * 20 + 1 - (-666) / (-6)", "solution_steps": ["Multiply: -5 * 20 = -100", "Subtract: -19 - (-100) = 81", "Add: 81 + 1 = 82", "Divide: -666 / (-6) = 111", "Subtract: 82 - 111 = -29"], "final_answer": "-29", "answer_type": "integer", "kind": "expression", "math_text": "-19 - (-5) * 20 + 1 - (-666) / (-6)", "variable": null, "family": "expression_5op", "shape": "(- (+ (- n (* n n)) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": -5, \"c\": 20, \"d\": 1, \"e\": -666, \"f\": -6}", "seed": "12801357025228748737", "semantic_fingerprint": "sha256:283168440da00d280b2acbdefa1c1c2720d0f50270db6da32d41147991c5733b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002988", "prompt": "Solve for x: 3x - 60 = -11(x + 41) + 279", "solution_steps": ["Expand: 3x - 60 = -11x - 451 + 279", "Combine constants: 3x - 60 = -11x - 172", "Add 11x to both sides: 14x - 60 = -172", "Add 60 to both sides: 14x = -112", "Divide both sides by 14: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 60 = -11(x + 41) + 279", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 60, \"c\": -11, \"d\": 41, \"f\": 279, \"x\": -8}", "seed": "12742042096635906352", "semantic_fingerprint": "sha256:d1fd6af39040fb45ca941324596b1dc4a83005208b55551454a09aed00f0cbea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002989", "prompt": "What value of x satisfies -10x - 8 = -6(x + 53) + 46?", "solution_steps": ["Expand: -10x - 8 = -6x - 318 + 46", "Combine constants: -10x - 8 = -6x - 272", "Add 6x to both sides: -4x - 8 = -272", "Add 8 to both sides: -4x = -264", "Divide both sides by -4: x = 66"], "final_answer": "66", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x - 8 = -6(x + 53) + 46", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 8, \"c\": -6, \"d\": 53, \"e\": 46}", "seed": "6411523913263237757", "semantic_fingerprint": "sha256:10741002bd2ff91f9f5cac036db496c5eb9a351386806ad1f98af6b98836afbb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002990", "prompt": "What is -7 - (-59 + 67 + (-769)) + (-7)?", "solution_steps": ["Add: -59 + 67 = 8", "Add: 8 + (-769) = -761", "Subtract: -7 - (-761) = 754", "Add: 754 + (-7) = 747"], "final_answer": "747", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (-59 + 67 + (-769)) + (-7)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -59, \"c\": 67, \"d\": -769, \"e\": -7}", "seed": "17957123200767815576", "semantic_fingerprint": "sha256:1394e03c78119469a4eaaddc84c9df3ffaddd18c9396c0b164dd48321ca0376f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002991", "prompt": "Find x: 2(x - 3) - 4 = -4(x - 55) - 332", "solution_steps": ["Expand: 2x - 6 - 4 = -4(x - 55) - 332", "Expand: 2x - 6 - 4 = -4x + 220 - 332", "Combine constants: 2x - 10 = -4x + 220 - 332", "Combine constants: 2x - 10 = -4x - 112", "Add 4x to both sides: 6x - 10 = -112", "Add 10 to both sides: 6x = -102", "Divide both sides by 6: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 3) - 4 = -4(x - 55) - 332", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 4, \"d\": -4, \"e\": 55, \"g\": -332, \"x\": -17}", "seed": "4049602249155132802", "semantic_fingerprint": "sha256:091bb3bf843ab3c1703d2cfd766f9a983016db62f2dfc7470d19f3b4caa1b870", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002992", "prompt": "Calculate: 224 * ((0 - (-87) * 8) / (-210 + 21))", "solution_steps": ["Multiply: -87 * 8 = -696", "Subtract: 0 - (-696) = 696", "Add: -210 + 21 = -189", "Divide: 696 / (-189) = -232/63", "Multiply: 224 * (-232/63) = -7424/9"], "final_answer": "-7424/9", "answer_type": "rational", "kind": "expression", "math_text": "224 * ((0 - (-87) * 8) / (-210 + 21))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (- n (* n n)) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 224, \"b\": 0, \"c\": -87, \"d\": 8, \"e\": -210, \"f\": 21}", "seed": "6234520775882195514", "semantic_fingerprint": "sha256:f2e24a89eb033fe852d24db937af15950998beed90a72a1dba4bf51016936df6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002993", "prompt": "Calculate: (9 + 7) / (4 - (-33) - 78)", "solution_steps": ["Add: 9 + 7 = 16", "Subtract: 4 - (-33) = 37", "Subtract: 37 - 78 = -41", "Divide: 16 / (-41) = -16/41"], "final_answer": "-16/41", "answer_type": "rational", "kind": "expression", "math_text": "(9 + 7) / (4 - (-33) - 78)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 4, \"d\": -33, \"e\": 78}", "seed": "15437191117836309846", "semantic_fingerprint": "sha256:ae4ee952dfab3b57edb0148adbc6fb860e2500241bba5977085a32a896dd9714", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002994", "prompt": "Calculate: ((-88 - (-147 - 64)) * 54 + (-92)) * (-8)", "solution_steps": ["Subtract: -147 - 64 = -211", "Subtract: -88 - (-211) = 123", "Multiply: 123 * 54 = 6642", "Add: 6642 + (-92) = 6550", "Multiply: 6550 * (-8) = -52400"], "final_answer": "-52400", "answer_type": "integer", "kind": "expression", "math_text": "((-88 - (-147 - 64)) * 54 + (-92)) * (-8)", "variable": null, "family": "expression_5op", "shape": "(* (+ (* (- n (- n n)) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": -147, \"c\": 64, \"d\": 54, \"e\": -92, \"f\": -8}", "seed": "14767981665048591858", "semantic_fingerprint": "sha256:82d22cbd9df13cec73b0bd09da4d3dcaed3cc29a49f9d585966201fabe4124ab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002995", "prompt": "Solve the equation 6(x - 131) - 96 = 10(x - 71) for x.", "solution_steps": ["Expand: 6x - 786 - 96 = 10(x - 71)", "Expand: 6x - 786 - 96 = 10x - 710", "Combine constants: 6x - 882 = 10x - 710", "Subtract 10x from both sides: -4x - 882 = -710", "Add 882 to both sides: -4x = 172", "Divide both sides by -4: x = -43"], "final_answer": "-43", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 131) - 96 = 10(x - 71)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 131, \"c\": 96, \"d\": 10, \"e\": 71}", "seed": "13770383504218161514", "semantic_fingerprint": "sha256:5b2f1b76956af21fda9622192a4a2778973b8dc65f66714ac7ac100df75f439b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002996", "prompt": "Calculate: (7 - (-902)) * (23 * (-8))", "solution_steps": ["Subtract: 7 - (-902) = 909", "Multiply: 23 * (-8) = -184", "Multiply: 909 * (-184) = -167256"], "final_answer": "-167256", "answer_type": "integer", "kind": "expression", "math_text": "(7 - (-902)) * (23 * (-8))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -902, \"c\": 23, \"d\": -8}", "seed": "2675372923469603548", "semantic_fingerprint": "sha256:15b756b1c68e97f614cd193fa4feef9807f1e611f46214e8963a99fa2f1d056f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002997", "prompt": "Evaluate: -8 / 81 + (-9) * (0 - (-50) - (-79))", "solution_steps": ["Divide: -8 / 81 = -8/81", "Subtract: 0 - (-50) = 50", "Subtract: 50 - (-79) = 129", "Multiply: -9 * 129 = -1161", "Add: -8/81 + (-1161) = -94049/81"], "final_answer": "-94049/81", "answer_type": "rational", "kind": "expression", "math_text": "-8 / 81 + (-9) * (0 - (-50) - (-79))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (* n (- (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 81, \"c\": -9, \"d\": 0, \"e\": -50, \"f\": -79}", "seed": "4415421560710657850", "semantic_fingerprint": "sha256:b3eb309c4ac3db005337dc25cfdc204d441715d1d14fb0d2aad2d916e46f5e60", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002998", "prompt": "Solve the equation 6(x - 8) = 7x - 28 for x.", "solution_steps": ["Expand: 6x - 48 = 7x - 28", "Subtract 7x from both sides: -x - 48 = -28", "Add 48 to both sides: -x = 20", "Divide both sides by -1: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 8) = 7x - 28", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 7, \"e\": -28, \"x\": -20}", "seed": "15498947378014608697", "semantic_fingerprint": "sha256:5eecf4ec1a1877a80a8f5c4b174bbdcb05fd51696e0c98c535265ff6e5d22658", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00002999", "prompt": "What value of x satisfies x - 5 = 5(x - 45) + 6?", "solution_steps": ["Expand: x - 5 = 5x - 225 + 6", "Combine constants: x - 5 = 5x - 219", "Subtract 5x from both sides: -4x - 5 = -219", "Add 5 to both sides: -4x = -214", "Divide both sides by -4: x = 107/2"], "final_answer": "107/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5 = 5(x - 45) + 6", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 5, \"c\": 45, \"d\": 6}", "seed": "5824968774285117332", "semantic_fingerprint": "sha256:deb221815a5336bdd2bfaad50b4b59563433755a8afb738731c42f30d6e9166a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003000", "prompt": "Calculate: (61 - (-307)) * (4 * (-9))", "solution_steps": ["Subtract: 61 - (-307) = 368", "Multiply: 4 * (-9) = -36", "Multiply: 368 * (-36) = -13248"], "final_answer": "-13248", "answer_type": "integer", "kind": "expression", "math_text": "(61 - (-307)) * (4 * (-9))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": -307, \"c\": 4, \"d\": -9}", "seed": "13698405353949743397", "semantic_fingerprint": "sha256:db448a3ec48465994b166c33069ec0535285bedbc7a9f578fd55ba615a83f3b8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003001", "prompt": "What is 3 / 47 + (-312) / (-304)?", "solution_steps": ["Divide: 3 / 47 = 3/47", "Divide: -312 / (-304) = 39/38", "Add: 3/47 + 39/38 = 1947/1786"], "final_answer": "1947/1786", "answer_type": "rational", "kind": "expression", "math_text": "3 / 47 + (-312) / (-304)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 47, \"c\": -312, \"d\": -304}", "seed": "3943511903423682839", "semantic_fingerprint": "sha256:d674592f9803312fd71eda86ab9270e56a7aa588a0b2acf3fe48c210581676dd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003002", "prompt": "What value of x satisfies 2(x - 44) + 46 = 6(x - 7)?", "solution_steps": ["Expand: 2x - 88 + 46 = 6(x - 7)", "Expand: 2x - 88 + 46 = 6x - 42", "Combine constants: 2x - 42 = 6x - 42", "Subtract 6x from both sides: -4x - 42 = -42", "Add 42 to both sides: -4x = 0", "Divide both sides by -4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 44) + 46 = 6(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 44, \"c\": 6, \"d\": 7, \"f\": 46, \"x\": 0}", "seed": "1641538416618928610", "semantic_fingerprint": "sha256:632d8173584b901333bb3919b62ad93eeb0536ee29491a31c9c4bad54f97ba90", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003003", "prompt": "Evaluate: (90 - (223 - 353) / 816) / 2", "solution_steps": ["Subtract: 223 - 353 = -130", "Divide: -130 / 816 = -65/408", "Subtract: 90 - (-65/408) = 36785/408", "Divide: (36785/408) / 2 = 36785/816"], "final_answer": "36785/816", "answer_type": "rational", "kind": "expression", "math_text": "(90 - (223 - 353) / 816) / 2", "variable": null, "family": "expression_4op", "shape": "(/ (- n (/ (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": 223, \"c\": 353, \"d\": 816, \"e\": 2}", "seed": "12390650268985368990", "semantic_fingerprint": "sha256:53522f102f0548e02269dea358c7b5ed29cab8280c0c0dc08be204845d2579ef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003004", "prompt": "What value of x satisfies 3(x - 9) = -2x - 528?", "solution_steps": ["Expand: 3x - 27 = -2x - 528", "Add 2x to both sides: 5x - 27 = -528", "Add 27 to both sides: 5x = -501", "Divide both sides by 5: x = -501/5"], "final_answer": "-501/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 9) = -2x - 528", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": -2, \"d\": 528}", "seed": "9265318755591257686", "semantic_fingerprint": "sha256:1209f1229060eecc7103afeb6a85a2b2224fb294959233c7c057c109204364b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003005", "prompt": "Solve the equation 6(x - 9) = 5x - 36 for x.", "solution_steps": ["Expand: 6x - 54 = 5x - 36", "Subtract 5x from both sides: x - 54 = -36", "Add 54 to both sides: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 9) = 5x - 36", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 5, \"e\": -36, \"x\": 18}", "seed": "17351719600897648097", "semantic_fingerprint": "sha256:f1d09a4adc7d023289c4bee82f11fe4bc22345aae6c0e3ea7d1be244d6246272", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003006", "prompt": "Calculate: 2 - (18 + (-1 - 28))", "solution_steps": ["Subtract: -1 - 28 = -29", "Add: 18 + (-29) = -11", "Subtract: 2 - (-11) = 13"], "final_answer": "13", "answer_type": "integer", "kind": "expression", "math_text": "2 - (18 + (-1 - 28))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 18, \"c\": -1, \"d\": 28}", "seed": "17989533810982659835", "semantic_fingerprint": "sha256:6f9cd3f34d9ba8c518e36534aed5e50443836a5476f33e956f5c25e63ee17c8a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003007", "prompt": "Compute: 10 + 4 - (-220 + 13)", "solution_steps": ["Add: 10 + 4 = 14", "Add: -220 + 13 = -207", "Subtract: 14 - (-207) = 221"], "final_answer": "221", "answer_type": "integer", "kind": "expression", "math_text": "10 + 4 - (-220 + 13)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": -220, \"d\": 13}", "seed": "9834403469995748969", "semantic_fingerprint": "sha256:33bf08943465161d54a5724ddfebcae24a0a53c432c95850674c482a4474f76a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003008", "prompt": "What is -6 * 0 / (-63 / (-5)) / (-8 * 92)?", "solution_steps": ["Multiply: -6 * 0 = 0", "Divide: -63 / (-5) = 63/5", "Divide: 0 / (63/5) = 0", "Multiply: -8 * 92 = -736", "Divide: 0 / (-736) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-6 * 0 / (-63 / (-5)) / (-8 * 92)", "variable": null, "family": "expression_5op", "shape": "(/ (/ (* n n) (/ n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 0, \"c\": -63, \"d\": -5, \"e\": -8, \"f\": 92}", "seed": "2598598011628657388", "semantic_fingerprint": "sha256:fc83d9ea0fa3dce021016f22400ca41e828132c5c680a3923cc3de131e9abaf1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003009", "prompt": "Calculate: (-9 - 5) / 6 / (81 / (-5)) - (-4)", "solution_steps": ["Subtract: -9 - 5 = -14", "Divide: -14 / 6 = -7/3", "Divide: 81 / (-5) = -81/5", "Divide: (-7/3) / (-81/5) = 35/243", "Subtract: 35/243 - (-4) = 1007/243"], "final_answer": "1007/243", "answer_type": "rational", "kind": "expression", "math_text": "(-9 - 5) / 6 / (81 / (-5)) - (-4)", "variable": null, "family": "expression_5op", "shape": "(- (/ (/ (- n n) n) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"c\": 6, \"d\": 81, \"e\": -5, \"f\": -4}", "seed": "9280905512704727882", "semantic_fingerprint": "sha256:ca8fdde13e20374afc4d180c440cc488b5c5e7e4a066fec28ab541c90d4b74ec", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003010", "prompt": "Compute: 48 * (-8 * (-19) / (-3)) - 682 / 57", "solution_steps": ["Multiply: -8 * (-19) = 152", "Divide: 152 / (-3) = -152/3", "Multiply: 48 * (-152/3) = -2432", "Divide: 682 / 57 = 682/57", "Subtract: -2432 - 682/57 = -139306/57"], "final_answer": "-139306/57", "answer_type": "rational", "kind": "expression", "math_text": "48 * (-8 * (-19) / (-3)) - 682 / 57", "variable": null, "family": "expression_5op", "shape": "(- (* n (/ (* n n) n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": -8, \"c\": -19, \"d\": -3, \"e\": 682, \"f\": 57}", "seed": "8973369858799513528", "semantic_fingerprint": "sha256:353f3e8753c69b5bf60eedd1a1b34519ac8f653dc85ccdb3e751fb338111f086", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003011", "prompt": "Compute: -5 + (-9 + 28 * (779 + (-297)))", "solution_steps": ["Add: 779 + (-297) = 482", "Multiply: 28 * 482 = 13496", "Add: -9 + 13496 = 13487", "Add: -5 + 13487 = 13482"], "final_answer": "13482", "answer_type": "integer", "kind": "expression", "math_text": "-5 + (-9 + 28 * (779 + (-297)))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (* n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -9, \"c\": 28, \"d\": 779, \"e\": -297}", "seed": "6400825008748700246", "semantic_fingerprint": "sha256:5c4fd97681573bcf3b4a00073f5026965d8344460b0eeb2acb92661d5f95b883", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003012", "prompt": "Compute: (0 + 2 / (-12 / (22 * (-27)))) * 4", "solution_steps": ["Multiply: 22 * (-27) = -594", "Divide: -12 / (-594) = 2/99", "Divide: 2 / (2/99) = 99", "Add: 0 + 99 = 99", "Multiply: 99 * 4 = 396"], "final_answer": "396", "answer_type": "integer", "kind": "expression", "math_text": "(0 + 2 / (-12 / (22 * (-27)))) * 4", "variable": null, "family": "expression_5op", "shape": "(* (+ n (/ n (/ n (* n n)))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 2, \"c\": -12, \"d\": 22, \"e\": -27, \"f\": 4}", "seed": "14690463040580155051", "semantic_fingerprint": "sha256:b2fbe1b7cc5d5ac6b68dc401fa27bc350dc1d9177d189b9d5900cf9eaaaf92b3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003013", "prompt": "Find x: 7(x - 74) = 6x - 500", "solution_steps": ["Expand: 7x - 518 = 6x - 500", "Subtract 6x from both sides: x - 518 = -500", "Add 518 to both sides: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 74) = 6x - 500", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 74, \"c\": 6, \"e\": -500, \"x\": 18}", "seed": "7152909744515681125", "semantic_fingerprint": "sha256:7b412e69bbde447198e9c40223da1a5a429e29c786a7cfd88594190aba0eaaeb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003014", "prompt": "Find x: 6(x - 3) - 975 = 11(x - 98)", "solution_steps": ["Expand: 6x - 18 - 975 = 11(x - 98)", "Expand: 6x - 18 - 975 = 11x - 1078", "Combine constants: 6x - 993 = 11x - 1078", "Subtract 11x from both sides: -5x - 993 = -1078", "Add 993 to both sides: -5x = -85", "Divide both sides by -5: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 3) - 975 = 11(x - 98)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 11, \"d\": 98, \"f\": -975, \"x\": 17}", "seed": "13521278112818973807", "semantic_fingerprint": "sha256:e65eea9b19be8e754ce7a871be41dbb8b7691197c60c14c3876ee371d084d07b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003015", "prompt": "Compute: 6 + (-39 * 16 - 57)", "solution_steps": ["Multiply: -39 * 16 = -624", "Subtract: -624 - 57 = -681", "Add: 6 + (-681) = -675"], "final_answer": "-675", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-39 * 16 - 57)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -39, \"c\": 16, \"d\": 57}", "seed": "11559267409026402369", "semantic_fingerprint": "sha256:1f5124a10d46bdbd4c02a2a3f2b1ff2f03081ce7433dc99e4a1c468198e199ef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003016", "prompt": "Find x: 6(x + 985) + 534 = -11(x + 4) - 738", "solution_steps": ["Expand: 6x + 5910 + 534 = -11(x + 4) - 738", "Expand: 6x + 5910 + 534 = -11x - 44 - 738", "Combine constants: 6x + 6444 = -11x - 44 - 738", "Combine constants: 6x + 6444 = -11x - 782", "Add 11x to both sides: 17x + 6444 = -782", "Subtract 6444 from both sides: 17x = -7226", "Divide both sides by 17: x = -7226/17"], "final_answer": "-7226/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 985) + 534 = -11(x + 4) - 738", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 985, \"c\": 534, \"d\": -11, \"e\": 4, \"f\": 738}", "seed": "18243531029800919044", "semantic_fingerprint": "sha256:22268cf576b17c08c61eb37ae2c3e678b7392f99ee0f6654bf40d16032e62f7f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003017", "prompt": "Evaluate: -425 / (-6 - 90 + (-554))", "solution_steps": ["Subtract: -6 - 90 = -96", "Add: -96 + (-554) = -650", "Divide: -425 / (-650) = 17/26"], "final_answer": "17/26", "answer_type": "rational", "kind": "expression", "math_text": "-425 / (-6 - 90 + (-554))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -425, \"b\": -6, \"c\": 90, \"d\": -554}", "seed": "12845079310362247366", "semantic_fingerprint": "sha256:5f55a44f78ce3907f6319a9d73bf025251e228f672933a2cfa4fbe3e4b48feb9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003018", "prompt": "Compute: 8 * (-93) - (-571 + (-8) + 9) / (-83)", "solution_steps": ["Multiply: 8 * (-93) = -744", "Add: -571 + (-8) = -579", "Add: -579 + 9 = -570", "Divide: -570 / (-83) = 570/83", "Subtract: -744 - 570/83 = -62322/83"], "final_answer": "-62322/83", "answer_type": "rational", "kind": "expression", "math_text": "8 * (-93) - (-571 + (-8) + 9) / (-83)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (/ (+ (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -93, \"c\": -571, \"d\": -8, \"e\": 9, \"f\": -83}", "seed": "11298836726091107211", "semantic_fingerprint": "sha256:c436a876b6523151c098ee31c3d83bb53b13ee5738797f009577a112e0f0f5f7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003019", "prompt": "Calculate: -218 - (-17 * 5 + (-197))", "solution_steps": ["Multiply: -17 * 5 = -85", "Add: -85 + (-197) = -282", "Subtract: -218 - (-282) = 64"], "final_answer": "64", "answer_type": "integer", "kind": "expression", "math_text": "-218 - (-17 * 5 + (-197))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -218, \"b\": -17, \"c\": 5, \"d\": -197}", "seed": "12229401064094991296", "semantic_fingerprint": "sha256:546b1cb0c314bf7f55cb69d349ee7f55f875f6a2b5fa5f1af7c56106f7228ea2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003020", "prompt": "What value of x satisfies -12(x + 3) - 6 = x - 120?", "solution_steps": ["Expand: -12x - 36 - 6 = x - 120", "Combine constants: -12x - 42 = x - 120", "Subtract x from both sides: -13x - 42 = -120", "Add 42 to both sides: -13x = -78", "Divide both sides by -13: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 3) - 6 = x - 120", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 3, \"c\": 6, \"e\": -120, \"x\": 6}", "seed": "9038018383195429171", "semantic_fingerprint": "sha256:a102561dc838d823cd490e21265c4d08bd6dd3d3e69215bc875b3e6c8f6021af", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003021", "prompt": "Find x: 8(x + 69) - 140 = x - 42", "solution_steps": ["Expand: 8x + 552 - 140 = x - 42", "Combine constants: 8x + 412 = x - 42", "Subtract x from both sides: 7x + 412 = -42", "Subtract 412 from both sides: 7x = -454", "Divide both sides by 7: x = -454/7"], "final_answer": "-454/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 69) - 140 = x - 42", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 69, \"c\": 140, \"d\": 42}", "seed": "12691101923392504101", "semantic_fingerprint": "sha256:1378bc5019f8f8387aa65c25dcb57c8f49a08a44637184cfde66eb532c88ca2b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003022", "prompt": "Solve the equation 2(x - 860) + 3 = -6(x - 8) for x.", "solution_steps": ["Expand: 2x - 1720 + 3 = -6(x - 8)", "Expand: 2x - 1720 + 3 = -6x + 48", "Combine constants: 2x - 1717 = -6x + 48", "Add 6x to both sides: 8x - 1717 = 48", "Add 1717 to both sides: 8x = 1765", "Divide both sides by 8: x = 1765/8"], "final_answer": "1765/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 860) + 3 = -6(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 860, \"c\": 3, \"d\": -6, \"e\": 8}", "seed": "6645649984393456009", "semantic_fingerprint": "sha256:8a92fd7709819eaede8a1c771adc5750df1767d0b4f2994d92e7471446f420b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003023", "prompt": "What value of x satisfies 11(x - 4) - 27 = 9(x - 5)?", "solution_steps": ["Expand: 11x - 44 - 27 = 9(x - 5)", "Expand: 11x - 44 - 27 = 9x - 45", "Combine constants: 11x - 71 = 9x - 45", "Subtract 9x from both sides: 2x - 71 = -45", "Add 71 to both sides: 2x = 26", "Divide both sides by 2: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 4) - 27 = 9(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 9, \"d\": 5, \"f\": -27, \"x\": 13}", "seed": "6807813193303488238", "semantic_fingerprint": "sha256:0afbd83113cf71dd9995f9db476f214e3511808d29b787c42d5b47300f29c22c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003024", "prompt": "Solve the equation 3(x - 20) + 120 = 2(x + 4) - 1 for x.", "solution_steps": ["Expand: 3x - 60 + 120 = 2(x + 4) - 1", "Expand: 3x - 60 + 120 = 2x + 8 - 1", "Combine constants: 3x + 60 = 2x + 8 - 1", "Combine constants: 3x + 60 = 2x + 7", "Subtract 2x from both sides: x + 60 = 7", "Subtract 60 from both sides: x = -53"], "final_answer": "-53", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 20) + 120 = 2(x + 4) - 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 20, \"c\": 120, \"d\": 2, \"e\": 4, \"f\": 1}", "seed": "7621989074952249307", "semantic_fingerprint": "sha256:bd712f0955e5bea6e14ec75c20cb7bb6cc701757a664dd31d17651906e400d64", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003025", "prompt": "Solve the equation -7(x - 32) + 4 = 3x + 358 for x.", "solution_steps": ["Expand: -7x + 224 + 4 = 3x + 358", "Combine constants: -7x + 228 = 3x + 358", "Subtract 3x from both sides: -10x + 228 = 358", "Subtract 228 from both sides: -10x = 130", "Divide both sides by -10: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 32) + 4 = 3x + 358", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 32, \"c\": 4, \"d\": 3, \"f\": 358, \"x\": -13}", "seed": "14467532663889487891", "semantic_fingerprint": "sha256:6e62be2a9fbc59ed3749dc9c95e2526077c6af8f6bbccfcee1163276c751c3fa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003026", "prompt": "Solve the equation -4(x - 73) - 9 = -12(x - 78) - 725 for x.", "solution_steps": ["Expand: -4x + 292 - 9 = -12(x - 78) - 725", "Expand: -4x + 292 - 9 = -12x + 936 - 725", "Combine constants: -4x + 283 = -12x + 936 - 725", "Combine constants: -4x + 283 = -12x + 211", "Add 12x to both sides: 8x + 283 = 211", "Subtract 283 from both sides: 8x = -72", "Divide both sides by 8: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 73) - 9 = -12(x - 78) - 725", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 73, \"c\": 9, \"d\": -12, \"e\": 78, \"g\": -725, \"x\": -9}", "seed": "14979489343521677139", "semantic_fingerprint": "sha256:0f79843f7e77212b0d6754363a2dbd91dc92c9b098dce0c1f689edc3b5a42dbf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003027", "prompt": "Calculate: -659 * 11 / (-8 + (-981))", "solution_steps": ["Multiply: -659 * 11 = -7249", "Add: -8 + (-981) = -989", "Divide: -7249 / (-989) = 7249/989"], "final_answer": "7249/989", "answer_type": "rational", "kind": "expression", "math_text": "-659 * 11 / (-8 + (-981))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -659, \"b\": 11, \"c\": -8, \"d\": -981}", "seed": "16929909298291480400", "semantic_fingerprint": "sha256:6c339efe8dd982e33d5aa503580d64c52af78437b544774c2353253b8f9cb538", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003028", "prompt": "What is -8 * (735 - (-5) + (-4))?", "solution_steps": ["Subtract: 735 - (-5) = 740", "Add: 740 + (-4) = 736", "Multiply: -8 * 736 = -5888"], "final_answer": "-5888", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (735 - (-5) + (-4))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 735, \"c\": -5, \"d\": -4}", "seed": "7402774618169861758", "semantic_fingerprint": "sha256:b63fb04fc86431b7a73a2b03f7c196c7f33dd1bf9792c30b7d7c3647d36263b5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003029", "prompt": "Evaluate: 42 * 514 * (-12) / (55 - 334)", "solution_steps": ["Multiply: 42 * 514 = 21588", "Multiply: 21588 * (-12) = -259056", "Subtract: 55 - 334 = -279", "Divide: -259056 / (-279) = 28784/31"], "final_answer": "28784/31", "answer_type": "rational", "kind": "expression", "math_text": "42 * 514 * (-12) / (55 - 334)", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 514, \"c\": -12, \"d\": 55, \"e\": 334}", "seed": "4220270953495610051", "semantic_fingerprint": "sha256:f9ab95ef2ed161c6a0a817bcce8c6a52d9f0552fc28c1b535830dce0e0936c89", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003030", "prompt": "What is (-56 - (-20) + (-33)) * 462?", "solution_steps": ["Subtract: -56 - (-20) = -36", "Add: -36 + (-33) = -69", "Multiply: -69 * 462 = -31878"], "final_answer": "-31878", "answer_type": "integer", "kind": "expression", "math_text": "(-56 - (-20) + (-33)) * 462", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": -20, \"c\": -33, \"d\": 462}", "seed": "9730843157924815482", "semantic_fingerprint": "sha256:e77a5a486cdbbf5860dd556fc89c78708f6afa93aabc869984dd1bea97163ef1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003031", "prompt": "What value of x satisfies 7(x - 82) - 165 = 8(x - 93)?", "solution_steps": ["Expand: 7x - 574 - 165 = 8(x - 93)", "Expand: 7x - 574 - 165 = 8x - 744", "Combine constants: 7x - 739 = 8x - 744", "Subtract 8x from both sides: -x - 739 = -744", "Add 739 to both sides: -x = -5", "Divide both sides by -1: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 82) - 165 = 8(x - 93)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 82, \"c\": 8, \"d\": 93, \"f\": -165, \"x\": 5}", "seed": "4852800449002689019", "semantic_fingerprint": "sha256:ca2bcd067155ea4c9d548f9ddfe2f3a62baf018649d1c908c5f66cc26066d0b8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003032", "prompt": "Calculate: -72 - (-94) * (13 * (36 - (-17 + 798)))", "solution_steps": ["Add: -17 + 798 = 781", "Subtract: 36 - 781 = -745", "Multiply: 13 * (-745) = -9685", "Multiply: -94 * (-9685) = 910390", "Subtract: -72 - 910390 = -910462"], "final_answer": "-910462", "answer_type": "integer", "kind": "expression", "math_text": "-72 - (-94) * (13 * (36 - (-17 + 798)))", "variable": null, "family": "expression_5op", "shape": "(- n (* n (* n (- n (+ n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -94, \"c\": 13, \"d\": 36, \"e\": -17, \"f\": 798}", "seed": "5626341786102320189", "semantic_fingerprint": "sha256:353b2f1cbab0ef0d8ae8af1eb1b453cd9fa2e02792a25ac877614653286a75d0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003033", "prompt": "What is -927 * ((-5 + (-47)) / (-21)) - 2?", "solution_steps": ["Add: -5 + (-47) = -52", "Divide: -52 / (-21) = 52/21", "Multiply: -927 * (52/21) = -16068/7", "Subtract: -16068/7 - 2 = -16082/7"], "final_answer": "-16082/7", "answer_type": "rational", "kind": "expression", "math_text": "-927 * ((-5 + (-47)) / (-21)) - 2", "variable": null, "family": "expression_4op", "shape": "(- (* n (/ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -927, \"b\": -5, \"c\": -47, \"d\": -21, \"e\": 2}", "seed": "16255321659335340116", "semantic_fingerprint": "sha256:65db1c5a5e108f9ba7a54bb03439c1e13c9f0e1b61ef3eb9760ca7db579a7e9b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003034", "prompt": "What is -9 * 35 + (-7) * (-5) / (-672)?", "solution_steps": ["Multiply: -9 * 35 = -315", "Multiply: -7 * (-5) = 35", "Divide: 35 / (-672) = -5/96", "Add: -315 + (-5/96) = -30245/96"], "final_answer": "-30245/96", "answer_type": "rational", "kind": "expression", "math_text": "-9 * 35 + (-7) * (-5) / (-672)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 35, \"c\": -7, \"d\": -5, \"e\": -672}", "seed": "10853183981701056488", "semantic_fingerprint": "sha256:f8868203b18863a1dc96fa2b174ee8cffc3d798f5f0713af80d7ff1132a34d26", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003035", "prompt": "Calculate: -11 - (-98) / (-7 * 435)", "solution_steps": ["Multiply: -7 * 435 = -3045", "Divide: -98 / (-3045) = 14/435", "Subtract: -11 - 14/435 = -4799/435"], "final_answer": "-4799/435", "answer_type": "rational", "kind": "expression", "math_text": "-11 - (-98) / (-7 * 435)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -98, \"c\": -7, \"d\": 435}", "seed": "11720991873357090937", "semantic_fingerprint": "sha256:f00f0cfa9ee050c605a9b8f878505f3f5302808229c04b32df947a36d930ff8c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003036", "prompt": "Find x: 4(x - 4) - 49 = 7(x - 2)", "solution_steps": ["Expand: 4x - 16 - 49 = 7(x - 2)", "Expand: 4x - 16 - 49 = 7x - 14", "Combine constants: 4x - 65 = 7x - 14", "Subtract 7x from both sides: -3x - 65 = -14", "Add 65 to both sides: -3x = 51", "Divide both sides by -3: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 4) - 49 = 7(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 4, \"c\": 7, \"d\": 2, \"f\": -49, \"x\": -17}", "seed": "2200965559738295789", "semantic_fingerprint": "sha256:60d97dc703f229c9d8f31c13c50805a156481faeed773c9e744a58b1676ec75e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003037", "prompt": "Solve the equation 7(x - 6) + 7 = 10(x + 31) - 79 for x.", "solution_steps": ["Expand: 7x - 42 + 7 = 10(x + 31) - 79", "Expand: 7x - 42 + 7 = 10x + 310 - 79", "Combine constants: 7x - 35 = 10x + 310 - 79", "Combine constants: 7x - 35 = 10x + 231", "Subtract 10x from both sides: -3x - 35 = 231", "Add 35 to both sides: -3x = 266", "Divide both sides by -3: x = -266/3"], "final_answer": "-266/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 6) + 7 = 10(x + 31) - 79", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 7, \"d\": 10, \"e\": 31, \"f\": 79}", "seed": "8353457079257799680", "semantic_fingerprint": "sha256:18b513fc119279c0105ad88f4d916112b648dd02177b98bfb37ce0508442661a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003038", "prompt": "What value of x satisfies 11(x - 234) + 37 = 4(x + 7) - 8?", "solution_steps": ["Expand: 11x - 2574 + 37 = 4(x + 7) - 8", "Expand: 11x - 2574 + 37 = 4x + 28 - 8", "Combine constants: 11x - 2537 = 4x + 28 - 8", "Combine constants: 11x - 2537 = 4x + 20", "Subtract 4x from both sides: 7x - 2537 = 20", "Add 2537 to both sides: 7x = 2557", "Divide both sides by 7: x = 2557/7"], "final_answer": "2557/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 234) + 37 = 4(x + 7) - 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 234, \"c\": 37, \"d\": 4, \"e\": 7, \"f\": 8}", "seed": "2838313425881085046", "semantic_fingerprint": "sha256:f7cf7d6d30c44c2622966eb0b6690a559156c617b8dad51d805d9f7ec567385b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003039", "prompt": "Compute: (-954 + 23 + (-3)) * 4", "solution_steps": ["Add: -954 + 23 = -931", "Add: -931 + (-3) = -934", "Multiply: -934 * 4 = -3736"], "final_answer": "-3736", "answer_type": "integer", "kind": "expression", "math_text": "(-954 + 23 + (-3)) * 4", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -954, \"b\": 23, \"c\": -3, \"d\": 4}", "seed": "5415122137357357671", "semantic_fingerprint": "sha256:fba335b9e64ef806f379588e00ea0a6d414c4143952e95e7a4821bf5333e9638", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003040", "prompt": "What is 18 / 93 + (-762) / 1?", "solution_steps": ["Divide: 18 / 93 = 6/31", "Divide: -762 / 1 = -762", "Add: 6/31 + (-762) = -23616/31"], "final_answer": "-23616/31", "answer_type": "rational", "kind": "expression", "math_text": "18 / 93 + (-762) / 1", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 93, \"c\": -762, \"d\": 1}", "seed": "14507616454497549199", "semantic_fingerprint": "sha256:be2877e55be2ed1efc35a680376aa0c6ae7026ae3d9e3c7b50e13f075ac29c0a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003041", "prompt": "Compute: -10 * (-94 * (-80 * 0)) - (-7)", "solution_steps": ["Multiply: -80 * 0 = 0", "Multiply: -94 * 0 = 0", "Multiply: -10 * 0 = 0", "Subtract: 0 - (-7) = 7"], "final_answer": "7", "answer_type": "integer", "kind": "expression", "math_text": "-10 * (-94 * (-80 * 0)) - (-7)", "variable": null, "family": "expression_4op", "shape": "(- (* n (* n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -94, \"c\": -80, \"d\": 0, \"e\": -7}", "seed": "2092776895649632271", "semantic_fingerprint": "sha256:d65d0a755986e330d373757903c9f946d3fde3b7fdf2a54c0d26e3dcc9520556", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003042", "prompt": "Solve for x: 7(x - 389) + 7 = -6(x - 7)", "solution_steps": ["Expand: 7x - 2723 + 7 = -6(x - 7)", "Expand: 7x - 2723 + 7 = -6x + 42", "Combine constants: 7x - 2716 = -6x + 42", "Add 6x to both sides: 13x - 2716 = 42", "Add 2716 to both sides: 13x = 2758", "Divide both sides by 13: x = 2758/13"], "final_answer": "2758/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 389) + 7 = -6(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 389, \"c\": 7, \"d\": -6, \"e\": 7}", "seed": "11671120998490570644", "semantic_fingerprint": "sha256:158d1259ad1e24a8b5fd93d97300aebe4a21a1bb228b86f69354384228b2cdb5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003043", "prompt": "Solve for x: 8(x - 40) = 9x - 338", "solution_steps": ["Expand: 8x - 320 = 9x - 338", "Subtract 9x from both sides: -x - 320 = -338", "Add 320 to both sides: -x = -18", "Divide both sides by -1: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 40) = 9x - 338", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 40, \"c\": 9, \"e\": -338, \"x\": 18}", "seed": "10001713626382424595", "semantic_fingerprint": "sha256:2515c5b6f9ac3e62463376627dd8225c22b688e2f1b8c11d4dda1d8252cb6d60", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003044", "prompt": "Solve for x: 5(x - 9) - 476 = 9(x - 4) - 565", "solution_steps": ["Expand: 5x - 45 - 476 = 9(x - 4) - 565", "Expand: 5x - 45 - 476 = 9x - 36 - 565", "Combine constants: 5x - 521 = 9x - 36 - 565", "Combine constants: 5x - 521 = 9x - 601", "Subtract 9x from both sides: -4x - 521 = -601", "Add 521 to both sides: -4x = -80", "Divide both sides by -4: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 9) - 476 = 9(x - 4) - 565", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 476, \"d\": 9, \"e\": 4, \"g\": -565, \"x\": 20}", "seed": "8670708276437514414", "semantic_fingerprint": "sha256:8cfab4059286a7b1cc584384ddb3502193869a3a2f91bc2070e278d562a3ed30", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003045", "prompt": "Solve for x: 4(x - 91) - 624 = 7(x - 60) - 589", "solution_steps": ["Expand: 4x - 364 - 624 = 7(x - 60) - 589", "Expand: 4x - 364 - 624 = 7x - 420 - 589", "Combine constants: 4x - 988 = 7x - 420 - 589", "Combine constants: 4x - 988 = 7x - 1009", "Subtract 7x from both sides: -3x - 988 = -1009", "Add 988 to both sides: -3x = -21", "Divide both sides by -3: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 91) - 624 = 7(x - 60) - 589", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 91, \"c\": 624, \"d\": 7, \"e\": 60, \"g\": -589, \"x\": 7}", "seed": "12881204283298525072", "semantic_fingerprint": "sha256:a0b36f335b6697464414afbb8e410dda147e78acbc36919f1e74292f2233003a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003046", "prompt": "Find x: x - 59 = 12(x - 35) + 152", "solution_steps": ["Expand: x - 59 = 12x - 420 + 152", "Combine constants: x - 59 = 12x - 268", "Subtract 12x from both sides: -11x - 59 = -268", "Add 59 to both sides: -11x = -209", "Divide both sides by -11: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 59 = 12(x - 35) + 152", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": 12, \"c\": 35, \"e\": 152, \"x\": 19}", "seed": "2634232063413696655", "semantic_fingerprint": "sha256:a7a846726bd83c13b8ded3e16352ad3615eb9c4cf60f5dc1bebac38b8f822427", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003047", "prompt": "Solve for x: 3(x + 8) + 442 = -10(x + 510) - 2", "solution_steps": ["Expand: 3x + 24 + 442 = -10(x + 510) - 2", "Expand: 3x + 24 + 442 = -10x - 5100 - 2", "Combine constants: 3x + 466 = -10x - 5100 - 2", "Combine constants: 3x + 466 = -10x - 5102", "Add 10x to both sides: 13x + 466 = -5102", "Subtract 466 from both sides: 13x = -5568", "Divide both sides by 13: x = -5568/13"], "final_answer": "-5568/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 8) + 442 = -10(x + 510) - 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 442, \"d\": -10, \"e\": 510, \"f\": 2}", "seed": "12874543876681310776", "semantic_fingerprint": "sha256:ab5ad22963d5bc50d828ab1df1d9d5d69b34c1e56dcc443a6d8b0674d1ed3397", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003048", "prompt": "What is (15 + 40 / 9) / (47 * 9 / (-674))?", "solution_steps": ["Divide: 40 / 9 = 40/9", "Add: 15 + 40/9 = 175/9", "Multiply: 47 * 9 = 423", "Divide: 423 / (-674) = -423/674", "Divide: (175/9) / (-423/674) = -117950/3807"], "final_answer": "-117950/3807", "answer_type": "rational", "kind": "expression", "math_text": "(15 + 40 / 9) / (47 * 9 / (-674))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (/ n n)) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": 40, \"c\": 9, \"d\": 47, \"e\": 9, \"f\": -674}", "seed": "3186379831725031618", "semantic_fingerprint": "sha256:967e6cfe89966c5c138e3789807ec561f908c21939d9937867c9c4b2a0bdfea5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003049", "prompt": "Calculate: (-3 - 70) * 2 * (-8)", "solution_steps": ["Subtract: -3 - 70 = -73", "Multiply: -73 * 2 = -146", "Multiply: -146 * (-8) = 1168"], "final_answer": "1168", "answer_type": "integer", "kind": "expression", "math_text": "(-3 - 70) * 2 * (-8)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 70, \"c\": 2, \"d\": -8}", "seed": "7078510890492386535", "semantic_fingerprint": "sha256:48f786abe49fb540107ac3caaac7680381efff97f514f358ebdf5a52ff0b7cca", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003050", "prompt": "What value of x satisfies x - 1 = -11(x - 6) + 173?", "solution_steps": ["Expand: x - 1 = -11x + 66 + 173", "Combine constants: x - 1 = -11x + 239", "Add 11x to both sides: 12x - 1 = 239", "Add 1 to both sides: 12x = 240", "Divide both sides by 12: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1 = -11(x - 6) + 173", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -11, \"c\": 6, \"e\": 173, \"x\": 20}", "seed": "16166840072277644915", "semantic_fingerprint": "sha256:41408d83a6c0e716a9c7ac0f48f6f538c044b8eac410a49ff47a8e69be4058a8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003051", "prompt": "Compute: (4 + (-25)) / (-81 / (-8))", "solution_steps": ["Add: 4 + (-25) = -21", "Divide: -81 / (-8) = 81/8", "Divide: -21 / (81/8) = -56/27"], "final_answer": "-56/27", "answer_type": "rational", "kind": "expression", "math_text": "(4 + (-25)) / (-81 / (-8))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -25, \"c\": -81, \"d\": -8}", "seed": "15046694187317547159", "semantic_fingerprint": "sha256:29042b1116237ca66207208dbf4ae49817c167bc218fb73bd7c3861a4b2908eb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003052", "prompt": "Solve the equation 2(x + 417) + 36 = 5(x + 1) - 654 for x.", "solution_steps": ["Expand: 2x + 834 + 36 = 5(x + 1) - 654", "Expand: 2x + 834 + 36 = 5x + 5 - 654", "Combine constants: 2x + 870 = 5x + 5 - 654", "Combine constants: 2x + 870 = 5x - 649", "Subtract 5x from both sides: -3x + 870 = -649", "Subtract 870 from both sides: -3x = -1519", "Divide both sides by -3: x = 1519/3"], "final_answer": "1519/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 417) + 36 = 5(x + 1) - 654", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 417, \"c\": 36, \"d\": 5, \"e\": 1, \"f\": 654}", "seed": "6236982106127119939", "semantic_fingerprint": "sha256:20075e5097b89d6e37f1902b61d895ad552fb355d5c3c9c991bc357c4103820c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003053", "prompt": "Calculate: -28 + (-89) / (-583 - 87)", "solution_steps": ["Subtract: -583 - 87 = -670", "Divide: -89 / (-670) = 89/670", "Add: -28 + 89/670 = -18671/670"], "final_answer": "-18671/670", "answer_type": "rational", "kind": "expression", "math_text": "-28 + (-89) / (-583 - 87)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": -89, \"c\": -583, \"d\": 87}", "seed": "10970803931543559089", "semantic_fingerprint": "sha256:1282b6c246d3856d353cbf0e46af8bbd2359a42035653ab23044b962f7c1fafa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003054", "prompt": "Find x: 3(x - 46) + 1 = 12(x + 6) - 308", "solution_steps": ["Expand: 3x - 138 + 1 = 12(x + 6) - 308", "Expand: 3x - 138 + 1 = 12x + 72 - 308", "Combine constants: 3x - 137 = 12x + 72 - 308", "Combine constants: 3x - 137 = 12x - 236", "Subtract 12x from both sides: -9x - 137 = -236", "Add 137 to both sides: -9x = -99", "Divide both sides by -9: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 46) + 1 = 12(x + 6) - 308", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 46, \"c\": 1, \"d\": 12, \"e\": 6, \"g\": -308, \"x\": 11}", "seed": "4757691824513407043", "semantic_fingerprint": "sha256:5e713d605ed69cbd7ae5fde42723ce4ffef394c5d556109c32c1d12c10332361", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003055", "prompt": "Compute: (-5 + (-6 + (-5))) / (91 + (-29 + 70))", "solution_steps": ["Add: -6 + (-5) = -11", "Add: -5 + (-11) = -16", "Add: -29 + 70 = 41", "Add: 91 + 41 = 132", "Divide: -16 / 132 = -4/33"], "final_answer": "-4/33", "answer_type": "rational", "kind": "expression", "math_text": "(-5 + (-6 + (-5))) / (91 + (-29 + 70))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (+ n n)) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -6, \"c\": -5, \"d\": 91, \"e\": -29, \"f\": 70}", "seed": "3049240559185176443", "semantic_fingerprint": "sha256:6fdf2752861e0659849761341f273a8bc8598d49a3b2841e6dd6b7214d0c66d6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003056", "prompt": "Evaluate: 756 * (-38 * (-29)) - (-51)", "solution_steps": ["Multiply: -38 * (-29) = 1102", "Multiply: 756 * 1102 = 833112", "Subtract: 833112 - (-51) = 833163"], "final_answer": "833163", "answer_type": "integer", "kind": "expression", "math_text": "756 * (-38 * (-29)) - (-51)", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 756, \"b\": -38, \"c\": -29, \"d\": -51}", "seed": "13953627652032635641", "semantic_fingerprint": "sha256:fabacae174cf3e7ea925c030bd2bbeaef198a2e990704c634316c0ccf154693e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003057", "prompt": "What value of x satisfies 12(x - 12) - 3 = 8(x - 37) - 29?", "solution_steps": ["Expand: 12x - 144 - 3 = 8(x - 37) - 29", "Expand: 12x - 144 - 3 = 8x - 296 - 29", "Combine constants: 12x - 147 = 8x - 296 - 29", "Combine constants: 12x - 147 = 8x - 325", "Subtract 8x from both sides: 4x - 147 = -325", "Add 147 to both sides: 4x = -178", "Divide both sides by 4: x = -89/2"], "final_answer": "-89/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 12) - 3 = 8(x - 37) - 29", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 12, \"c\": 3, \"d\": 8, \"e\": 37, \"f\": 29}", "seed": "17976253407687467754", "semantic_fingerprint": "sha256:ea1f545e06a9fcd7fdc54132078528735111dff07e529708517494d2f262ba16", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003058", "prompt": "Compute: 0 / (187 - 91 + (-36))", "solution_steps": ["Subtract: 187 - 91 = 96", "Add: 96 + (-36) = 60", "Divide: 0 / 60 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (187 - 91 + (-36))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 187, \"c\": 91, \"d\": -36}", "seed": "3795676942852480752", "semantic_fingerprint": "sha256:87b77d977f888a12375e4348605325aed0d4ac764568d58a26091cc675063e72", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003059", "prompt": "Solve for x: 4(x - 7) = 6x - 58", "solution_steps": ["Expand: 4x - 28 = 6x - 58", "Subtract 6x from both sides: -2x - 28 = -58", "Add 28 to both sides: -2x = -30", "Divide both sides by -2: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 7) = 6x - 58", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 6, \"e\": -58, \"x\": 15}", "seed": "11073978273452653581", "semantic_fingerprint": "sha256:aeef1e0f1b2a10a8debe8fa406ca16b8d664c333ca93c89a30c831f895da363f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003060", "prompt": "Evaluate: (-278 - 0) * (-98) * (-27)", "solution_steps": ["Subtract: -278 - 0 = -278", "Multiply: -278 * (-98) = 27244", "Multiply: 27244 * (-27) = -735588"], "final_answer": "-735588", "answer_type": "integer", "kind": "expression", "math_text": "(-278 - 0) * (-98) * (-27)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -278, \"b\": 0, \"c\": -98, \"d\": -27}", "seed": "11142109915879785426", "semantic_fingerprint": "sha256:13a28ba706137394702930ebe54f1158a3085361250dc91826a3e1a777f5f578", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003061", "prompt": "Evaluate: 68 + (3 + (-25)) - 123", "solution_steps": ["Add: 3 + (-25) = -22", "Add: 68 + (-22) = 46", "Subtract: 46 - 123 = -77"], "final_answer": "-77", "answer_type": "integer", "kind": "expression", "math_text": "68 + (3 + (-25)) - 123", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 3, \"c\": -25, \"d\": 123}", "seed": "8247046566465386050", "semantic_fingerprint": "sha256:2b028aa44548269f0708c21304f4b5d0d02f98c04dd6f4fc8f569b75c45ddd72", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003062", "prompt": "What is 5 + 5 / 86 / (-50)?", "solution_steps": ["Divide: 5 / 86 = 5/86", "Divide: (5/86) / (-50) = -1/860", "Add: 5 + (-1/860) = 4299/860"], "final_answer": "4299/860", "answer_type": "rational", "kind": "expression", "math_text": "5 + 5 / 86 / (-50)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 5, \"c\": 86, \"d\": -50}", "seed": "13239968734199386695", "semantic_fingerprint": "sha256:978afa226041fb5775ff3e1bb06c9f8faa98da1539fdc4c3e86c4e48eeb69634", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003063", "prompt": "What value of x satisfies x - 36 = -12(x - 41) + 8?", "solution_steps": ["Expand: x - 36 = -12x + 492 + 8", "Combine constants: x - 36 = -12x + 500", "Add 12x to both sides: 13x - 36 = 500", "Add 36 to both sides: 13x = 536", "Divide both sides by 13: x = 536/13"], "final_answer": "536/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 36 = -12(x - 41) + 8", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": -12, \"c\": 41, \"d\": 8}", "seed": "8465131280140153714", "semantic_fingerprint": "sha256:24a788bbf5a1e04dd6d50e52e2784f8d9da4955139127cfeca91c48667352a0f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003064", "prompt": "What value of x satisfies 12(x - 52) + 96 = 6(x - 85)?", "solution_steps": ["Expand: 12x - 624 + 96 = 6(x - 85)", "Expand: 12x - 624 + 96 = 6x - 510", "Combine constants: 12x - 528 = 6x - 510", "Subtract 6x from both sides: 6x - 528 = -510", "Add 528 to both sides: 6x = 18", "Divide both sides by 6: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 52) + 96 = 6(x - 85)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 52, \"c\": 6, \"d\": 85, \"f\": 96, \"x\": 3}", "seed": "18395039418333729590", "semantic_fingerprint": "sha256:c6b1e262ccc7c9abcf9dba6532acac27a499cb30dbc9759016d26fe26e760eea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003065", "prompt": "Calculate: 7 + (388 + (-858)) - 2", "solution_steps": ["Add: 388 + (-858) = -470", "Add: 7 + (-470) = -463", "Subtract: -463 - 2 = -465"], "final_answer": "-465", "answer_type": "integer", "kind": "expression", "math_text": "7 + (388 + (-858)) - 2", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 388, \"c\": -858, \"d\": 2}", "seed": "13700318661775156823", "semantic_fingerprint": "sha256:e7ad23fcc6c4c3f0e27355c4aec2ec3b2365c242b0ce8dc539fedce3761145c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003066", "prompt": "Solve for x: -10(x - 91) + 89 = 12x + 39", "solution_steps": ["Expand: -10x + 910 + 89 = 12x + 39", "Combine constants: -10x + 999 = 12x + 39", "Subtract 12x from both sides: -22x + 999 = 39", "Subtract 999 from both sides: -22x = -960", "Divide both sides by -22: x = 480/11"], "final_answer": "480/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 91) + 89 = 12x + 39", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 91, \"c\": 89, \"d\": 12, \"e\": 39}", "seed": "6855996986363861947", "semantic_fingerprint": "sha256:336a94985f011a024b355d17749cc5ca51e9f27af2607160c4ac967fa26bb037", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003067", "prompt": "Calculate: (4 - 2) * (-40 * (-25))", "solution_steps": ["Subtract: 4 - 2 = 2", "Multiply: -40 * (-25) = 1000", "Multiply: 2 * 1000 = 2000"], "final_answer": "2000", "answer_type": "integer", "kind": "expression", "math_text": "(4 - 2) * (-40 * (-25))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": -40, \"d\": -25}", "seed": "4806193963596889446", "semantic_fingerprint": "sha256:55ec0c206eaa76fef8300e006e89afe7ff0fa7beac4ca452778325262f5867f9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003068", "prompt": "Calculate: -7 + 0 / 51 / 60", "solution_steps": ["Divide: 0 / 51 = 0", "Divide: 0 / 60 = 0", "Add: -7 + 0 = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "expression", "math_text": "-7 + 0 / 51 / 60", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 0, \"c\": 51, \"d\": 60}", "seed": "5492017958319023917", "semantic_fingerprint": "sha256:2e0acb4b0ae5258f5a2b4d6052787cd02e231813251bbe83cd402785fc605305", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003069", "prompt": "Evaluate: (579 * 0 + 1) * (-93)", "solution_steps": ["Multiply: 579 * 0 = 0", "Add: 0 + 1 = 1", "Multiply: 1 * (-93) = -93"], "final_answer": "-93", "answer_type": "integer", "kind": "expression", "math_text": "(579 * 0 + 1) * (-93)", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 579, \"b\": 0, \"c\": 1, \"d\": -93}", "seed": "2294546083193751583", "semantic_fingerprint": "sha256:bd0b95daf3597ae4f43df4e60c84dc600ff23f89cd17d8385a1c3ebeeebbcd7b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003070", "prompt": "Solve for x: x - 5 = -11(x - 41) + 61", "solution_steps": ["Expand: x - 5 = -11x + 451 + 61", "Combine constants: x - 5 = -11x + 512", "Add 11x to both sides: 12x - 5 = 512", "Add 5 to both sides: 12x = 517", "Divide both sides by 12: x = 517/12"], "final_answer": "517/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5 = -11(x - 41) + 61", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -11, \"c\": 41, \"d\": 61}", "seed": "7704241455778270498", "semantic_fingerprint": "sha256:ec4965a38305ac886b440d82e0290bad9f8164ab94e104b98bbca3bf18bb4a3e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003071", "prompt": "Find x: x - 9 = 11(x - 23) + 304", "solution_steps": ["Expand: x - 9 = 11x - 253 + 304", "Combine constants: x - 9 = 11x + 51", "Subtract 11x from both sides: -10x - 9 = 51", "Add 9 to both sides: -10x = 60", "Divide both sides by -10: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9 = 11(x - 23) + 304", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 11, \"c\": 23, \"e\": 304, \"x\": -6}", "seed": "16394953784389840423", "semantic_fingerprint": "sha256:379e52b8df1e4af33e86fa21346dc0620e254d02d1e8ec38b725598f2d79b22d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003072", "prompt": "Solve the equation x - 40 = 6(x - 96) + 441 for x.", "solution_steps": ["Expand: x - 40 = 6x - 576 + 441", "Combine constants: x - 40 = 6x - 135", "Subtract 6x from both sides: -5x - 40 = -135", "Add 40 to both sides: -5x = -95", "Divide both sides by -5: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 40 = 6(x - 96) + 441", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": 6, \"c\": 96, \"e\": 441, \"x\": 19}", "seed": "4117056023213487888", "semantic_fingerprint": "sha256:009fce4accac206643fc18cf6bb8aee9eaea08edecd40a7bf1e826509aa588cf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003073", "prompt": "Calculate: 392 - (-3) - (-42) * (33 * 7)", "solution_steps": ["Subtract: 392 - (-3) = 395", "Multiply: 33 * 7 = 231", "Multiply: -42 * 231 = -9702", "Subtract: 395 - (-9702) = 10097"], "final_answer": "10097", "answer_type": "integer", "kind": "expression", "math_text": "392 - (-3) - (-42) * (33 * 7)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 392, \"b\": -3, \"c\": -42, \"d\": 33, \"e\": 7}", "seed": "6326106790094498203", "semantic_fingerprint": "sha256:b5d2ed8f86e42b4cdcade70430242e0383e0c42a8834d9271f44408144e2e52c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003074", "prompt": "Find x: 11(x - 8) = 10x - 80", "solution_steps": ["Expand: 11x - 88 = 10x - 80", "Subtract 10x from both sides: x - 88 = -80", "Add 88 to both sides: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 8) = 10x - 80", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"c\": 10, \"e\": -80, \"x\": 8}", "seed": "9092080542534826614", "semantic_fingerprint": "sha256:59065dbc305c5e320a011276b75f7a31e0a9b1dccfa1f5d621fa048226082d45", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003075", "prompt": "Calculate: -6 * (-325) + (6 + (-830) / (-26))", "solution_steps": ["Multiply: -6 * (-325) = 1950", "Divide: -830 / (-26) = 415/13", "Add: 6 + 415/13 = 493/13", "Add: 1950 + 493/13 = 25843/13"], "final_answer": "25843/13", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (-325) + (6 + (-830) / (-26))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -325, \"c\": 6, \"d\": -830, \"e\": -26}", "seed": "1170297282721164015", "semantic_fingerprint": "sha256:59338b82a6b10dfcd5c87fb9e8cf1fd0b66fc0d88770877ba7a6428f1e759d09", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003076", "prompt": "Solve the equation 8(x + 15) - 648 = x - 486 for x.", "solution_steps": ["Expand: 8x + 120 - 648 = x - 486", "Combine constants: 8x - 528 = x - 486", "Subtract x from both sides: 7x - 528 = -486", "Add 528 to both sides: 7x = 42", "Divide both sides by 7: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 15) - 648 = x - 486", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 15, \"c\": 648, \"e\": -486, \"x\": 6}", "seed": "12193857699099130360", "semantic_fingerprint": "sha256:906cfbdf17ec021e7623c6383ef6d78a803c34324e0ff65218b324643509ab41", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003077", "prompt": "What is 9 / (76 * 6 / 9)?", "solution_steps": ["Multiply: 76 * 6 = 456", "Divide: 456 / 9 = 152/3", "Divide: 9 / (152/3) = 27/152"], "final_answer": "27/152", "answer_type": "rational", "kind": "expression", "math_text": "9 / (76 * 6 / 9)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 76, \"c\": 6, \"d\": 9}", "seed": "10212080349484001414", "semantic_fingerprint": "sha256:c33e47f1c3cf24ee54ca351e5bee67d444a73f05c455e5567a081cdeea6d84f5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003078", "prompt": "Calculate: -31 + (-39) - 829 + (-5)", "solution_steps": ["Add: -31 + (-39) = -70", "Subtract: -70 - 829 = -899", "Add: -899 + (-5) = -904"], "final_answer": "-904", "answer_type": "integer", "kind": "expression", "math_text": "-31 + (-39) - 829 + (-5)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -31, \"b\": -39, \"c\": 829, \"d\": -5}", "seed": "11506840514234283339", "semantic_fingerprint": "sha256:be71feb93f8af3f2badf944a31abf6e78656042a0d7bf6ae37226f8ca68eb225", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003079", "prompt": "What is (-73 + (-7)) / (49 / (-64))?", "solution_steps": ["Add: -73 + (-7) = -80", "Divide: 49 / (-64) = -49/64", "Divide: -80 / (-49/64) = 5120/49"], "final_answer": "5120/49", "answer_type": "rational", "kind": "expression", "math_text": "(-73 + (-7)) / (49 / (-64))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": -7, \"c\": 49, \"d\": -64}", "seed": "16511118957423158908", "semantic_fingerprint": "sha256:ee80bc1c12a8572008b9d5db43ec45aa1814a93cc69bca36ebef14b20f01dd91", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003080", "prompt": "Compute: -74 - (9 * (-130) + (-87))", "solution_steps": ["Multiply: 9 * (-130) = -1170", "Add: -1170 + (-87) = -1257", "Subtract: -74 - (-1257) = 1183"], "final_answer": "1183", "answer_type": "integer", "kind": "expression", "math_text": "-74 - (9 * (-130) + (-87))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": 9, \"c\": -130, \"d\": -87}", "seed": "17483547422778046460", "semantic_fingerprint": "sha256:1a4a96c207393706c5afc21f306765ef13e7c196a5a1ff5b69cf792cb52be255", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003081", "prompt": "Evaluate: -7 * (-1) * (-96) / (-80 / 2)", "solution_steps": ["Multiply: -7 * (-1) = 7", "Multiply: 7 * (-96) = -672", "Divide: -80 / 2 = -40", "Divide: -672 / (-40) = 84/5"], "final_answer": "84/5", "answer_type": "rational", "kind": "expression", "math_text": "-7 * (-1) * (-96) / (-80 / 2)", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -1, \"c\": -96, \"d\": -80, \"e\": 2}", "seed": "6667016431864066163", "semantic_fingerprint": "sha256:5c0515ee0077b4782d335e31a835995f82236eb945156fd762917f206b8428ab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003082", "prompt": "Evaluate: 3 - (-5) - 31 * (-3) - (-8)", "solution_steps": ["Subtract: 3 - (-5) = 8", "Multiply: 31 * (-3) = -93", "Subtract: 8 - (-93) = 101", "Subtract: 101 - (-8) = 109"], "final_answer": "109", "answer_type": "integer", "kind": "expression", "math_text": "3 - (-5) - 31 * (-3) - (-8)", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -5, \"c\": 31, \"d\": -3, \"e\": -8}", "seed": "1872219958410737865", "semantic_fingerprint": "sha256:23bf6c82c1b81cf42637358750bbb39e0fbb582ae1f544ad30519a131a31b835", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003083", "prompt": "Solve the equation x - 808 = 11(x - 94) + 36 for x.", "solution_steps": ["Expand: x - 808 = 11x - 1034 + 36", "Combine constants: x - 808 = 11x - 998", "Subtract 11x from both sides: -10x - 808 = -998", "Add 808 to both sides: -10x = -190", "Divide both sides by -10: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 808 = 11(x - 94) + 36", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 808, \"b\": 11, \"c\": 94, \"e\": 36, \"x\": 19}", "seed": "11953728758836939515", "semantic_fingerprint": "sha256:e89a9ccc890ae5aff50f6788dd4429564b1b0e198e277550c77c493ec08a1cfa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003084", "prompt": "Calculate: 827 * (347 - (-64) + (-70))", "solution_steps": ["Subtract: 347 - (-64) = 411", "Add: 411 + (-70) = 341", "Multiply: 827 * 341 = 282007"], "final_answer": "282007", "answer_type": "integer", "kind": "expression", "math_text": "827 * (347 - (-64) + (-70))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 827, \"b\": 347, \"c\": -64, \"d\": -70}", "seed": "4149511764114261672", "semantic_fingerprint": "sha256:efef2ff3f9135d733c41d9bc336c7fa5cf752e76e0e8df49b42cef58ce769a87", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003085", "prompt": "Calculate: -99 / 4 * (-3 / (-106 + 441))", "solution_steps": ["Divide: -99 / 4 = -99/4", "Add: -106 + 441 = 335", "Divide: -3 / 335 = -3/335", "Multiply: (-99/4) * (-3/335) = 297/1340"], "final_answer": "297/1340", "answer_type": "rational", "kind": "expression", "math_text": "-99 / 4 * (-3 / (-106 + 441))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": 4, \"c\": -3, \"d\": -106, \"e\": 441}", "seed": "4294717636773838727", "semantic_fingerprint": "sha256:7ee76524e9110a37e0d97962f4e5a0b8a481486a7f23c6c16b08106a0b68f14e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003086", "prompt": "What is -86 * (50 * (-96)) - (-1)?", "solution_steps": ["Multiply: 50 * (-96) = -4800", "Multiply: -86 * (-4800) = 412800", "Subtract: 412800 - (-1) = 412801"], "final_answer": "412801", "answer_type": "integer", "kind": "expression", "math_text": "-86 * (50 * (-96)) - (-1)", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": 50, \"c\": -96, \"d\": -1}", "seed": "3070555324595815417", "semantic_fingerprint": "sha256:ca63ada7bfaf12f29c0f2607fb952b57f250c86ba08b0685aa6c3976633d94ff", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003087", "prompt": "What value of x satisfies -3(x - 1) = 9x - 37?", "solution_steps": ["Expand: -3x + 3 = 9x - 37", "Subtract 9x from both sides: -12x + 3 = -37", "Subtract 3 from both sides: -12x = -40", "Divide both sides by -12: x = 10/3"], "final_answer": "10/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 1) = 9x - 37", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 1, \"c\": 9, \"d\": 37}", "seed": "14481602793074306565", "semantic_fingerprint": "sha256:e7016751fb3ac4a0ff7b6c123577f6390d82fbc48a7f4245c233b29f84c569dd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003088", "prompt": "Solve for x: 10(x - 5) + 491 = 4x + 489", "solution_steps": ["Expand: 10x - 50 + 491 = 4x + 489", "Combine constants: 10x + 441 = 4x + 489", "Subtract 4x from both sides: 6x + 441 = 489", "Subtract 441 from both sides: 6x = 48", "Divide both sides by 6: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 5) + 491 = 4x + 489", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"c\": 491, \"d\": 4, \"f\": 489, \"x\": 8}", "seed": "8564076101053069317", "semantic_fingerprint": "sha256:e9d5d9ce10ad964ace2858bfb5283daece322fd7e472742067834acbc88457c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003089", "prompt": "Evaluate: 8 / ((350 + 511 - 7) / 32)", "solution_steps": ["Add: 350 + 511 = 861", "Subtract: 861 - 7 = 854", "Divide: 854 / 32 = 427/16", "Divide: 8 / (427/16) = 128/427"], "final_answer": "128/427", "answer_type": "rational", "kind": "expression", "math_text": "8 / ((350 + 511 - 7) / 32)", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (- (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 350, \"c\": 511, \"d\": 7, \"e\": 32}", "seed": "17975580792566738389", "semantic_fingerprint": "sha256:aa36ba964fd93dcc1fd0fa3755ad2ffb10698328d20d496f17332c6ac9eb5303", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003090", "prompt": "Solve for x: 10x - 8 = -6(x + 8) + 40", "solution_steps": ["Expand: 10x - 8 = -6x - 48 + 40", "Combine constants: 10x - 8 = -6x - 8", "Add 6x to both sides: 16x - 8 = -8", "Add 8 to both sides: 16x = 0", "Divide both sides by 16: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 8 = -6(x + 8) + 40", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"c\": -6, \"d\": 8, \"f\": 40, \"x\": 0}", "seed": "3280330312488990975", "semantic_fingerprint": "sha256:cd9e13ba3224891f872b129b93ae301668b78843ad26108d00c3ce68adb6a5e3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003091", "prompt": "Calculate: -9 + (-68) / (9 - 74)", "solution_steps": ["Subtract: 9 - 74 = -65", "Divide: -68 / (-65) = 68/65", "Add: -9 + 68/65 = -517/65"], "final_answer": "-517/65", "answer_type": "rational", "kind": "expression", "math_text": "-9 + (-68) / (9 - 74)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -68, \"c\": 9, \"d\": 74}", "seed": "14298231488984387593", "semantic_fingerprint": "sha256:92694b0474fe71c1f21c911d755707514d750cadd6cdb80e88915322fcc7e68a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003092", "prompt": "Calculate: 6 + 0 / (-2 - 92)", "solution_steps": ["Subtract: -2 - 92 = -94", "Divide: 0 / (-94) = 0", "Add: 6 + 0 = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "6 + 0 / (-2 - 92)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 0, \"c\": -2, \"d\": 92}", "seed": "140297308675269190", "semantic_fingerprint": "sha256:8b6f5d75134f0875c12a88d081f30a694db784594c36c3c6116db2008c4fe245", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003093", "prompt": "Evaluate: 7 * (-804) - (2 - (-470) - (-93)) / (-6)", "solution_steps": ["Multiply: 7 * (-804) = -5628", "Subtract: 2 - (-470) = 472", "Subtract: 472 - (-93) = 565", "Divide: 565 / (-6) = -565/6", "Subtract: -5628 - (-565/6) = -33203/6"], "final_answer": "-33203/6", "answer_type": "rational", "kind": "expression", "math_text": "7 * (-804) - (2 - (-470) - (-93)) / (-6)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (/ (- (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -804, \"c\": 2, \"d\": -470, \"e\": -93, \"f\": -6}", "seed": "2550546886507551186", "semantic_fingerprint": "sha256:44837ff493be2fcc793a26b872672f14c945e602479d3f7c5b304ac2594b8766", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003094", "prompt": "Compute: (750 - 699 + (-7)) * (-24)", "solution_steps": ["Subtract: 750 - 699 = 51", "Add: 51 + (-7) = 44", "Multiply: 44 * (-24) = -1056"], "final_answer": "-1056", "answer_type": "integer", "kind": "expression", "math_text": "(750 - 699 + (-7)) * (-24)", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 750, \"b\": 699, \"c\": -7, \"d\": -24}", "seed": "13652448807126452019", "semantic_fingerprint": "sha256:9671eb5ae1df773a1b5c8670af4f66c6324eb443422366f1a752b80e94c6ebfa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003095", "prompt": "Solve for x: 2(x + 2) + 65 = -11(x + 9) - 27", "solution_steps": ["Expand: 2x + 4 + 65 = -11(x + 9) - 27", "Expand: 2x + 4 + 65 = -11x - 99 - 27", "Combine constants: 2x + 69 = -11x - 99 - 27", "Combine constants: 2x + 69 = -11x - 126", "Add 11x to both sides: 13x + 69 = -126", "Subtract 69 from both sides: 13x = -195", "Divide both sides by 13: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 2) + 65 = -11(x + 9) - 27", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 65, \"d\": -11, \"e\": 9, \"g\": -27, \"x\": -15}", "seed": "6716011607870679859", "semantic_fingerprint": "sha256:965f167ec1abac17075f7cf1048042941804f08e6ce1f4bd4b8feabf80449858", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003096", "prompt": "What is (-119 / (-41) - (-51)) * ((4 + 75) / (-59))?", "solution_steps": ["Divide: -119 / (-41) = 119/41", "Subtract: 119/41 - (-51) = 2210/41", "Add: 4 + 75 = 79", "Divide: 79 / (-59) = -79/59", "Multiply: (2210/41) * (-79/59) = -174590/2419"], "final_answer": "-174590/2419", "answer_type": "rational", "kind": "expression", "math_text": "(-119 / (-41) - (-51)) * ((4 + 75) / (-59))", "variable": null, "family": "expression_5op", "shape": "(* (- (/ n n) n) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -119, \"b\": -41, \"c\": -51, \"d\": 4, \"e\": 75, \"f\": -59}", "seed": "9930181236094404326", "semantic_fingerprint": "sha256:166ff8054603a3e651fd08ca5afcfd471d2f2974af77d2770d6946fca3d66b91", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003097", "prompt": "Compute: -970 + 20 - (-7 + 1)", "solution_steps": ["Add: -970 + 20 = -950", "Add: -7 + 1 = -6", "Subtract: -950 - (-6) = -944"], "final_answer": "-944", "answer_type": "integer", "kind": "expression", "math_text": "-970 + 20 - (-7 + 1)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -970, \"b\": 20, \"c\": -7, \"d\": 1}", "seed": "16798026057275675329", "semantic_fingerprint": "sha256:acec792df75b23a16649188ca7c88589b75ef475fe3bb5380e85ac99695ea96d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003098", "prompt": "Compute: (418 + 0) / (99 / (-38))", "solution_steps": ["Add: 418 + 0 = 418", "Divide: 99 / (-38) = -99/38", "Divide: 418 / (-99/38) = -1444/9"], "final_answer": "-1444/9", "answer_type": "rational", "kind": "expression", "math_text": "(418 + 0) / (99 / (-38))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 418, \"b\": 0, \"c\": 99, \"d\": -38}", "seed": "3343958596000663848", "semantic_fingerprint": "sha256:54c01cb1dc833a7f17f4777703be092781aa9ef63d9c5ac736aa7de443ceaa63", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003099", "prompt": "Evaluate: (-7 + (971 + (-72 + 25) + (-1))) / (-92)", "solution_steps": ["Add: -72 + 25 = -47", "Add: 971 + (-47) = 924", "Add: 924 + (-1) = 923", "Add: -7 + 923 = 916", "Divide: 916 / (-92) = -229/23"], "final_answer": "-229/23", "answer_type": "rational", "kind": "expression", "math_text": "(-7 + (971 + (-72 + 25) + (-1))) / (-92)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (+ (+ n (+ n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 971, \"c\": -72, \"d\": 25, \"e\": -1, \"f\": -92}", "seed": "12150959508099179717", "semantic_fingerprint": "sha256:4f7771084c74b6dc62cdd72ee3da337c86e71c554a1884372bee4011c18da03d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003100", "prompt": "What is 1 / (23 - (-4) + (-3))?", "solution_steps": ["Subtract: 23 - (-4) = 27", "Add: 27 + (-3) = 24", "Divide: 1 / 24 = 1/24"], "final_answer": "1/24", "answer_type": "rational", "kind": "expression", "math_text": "1 / (23 - (-4) + (-3))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 23, \"c\": -4, \"d\": -3}", "seed": "18104501667713722827", "semantic_fingerprint": "sha256:d8a7b08fc1626a540e4fb59e8c78c973c820f3961289c51aaef275db74427889", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003101", "prompt": "What is -16 * 5 - 42 - 2 * (-31)?", "solution_steps": ["Multiply: -16 * 5 = -80", "Subtract: -80 - 42 = -122", "Multiply: 2 * (-31) = -62", "Subtract: -122 - (-62) = -60"], "final_answer": "-60", "answer_type": "integer", "kind": "expression", "math_text": "-16 * 5 - 42 - 2 * (-31)", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": 5, \"c\": 42, \"d\": 2, \"e\": -31}", "seed": "475798823655167508", "semantic_fingerprint": "sha256:8bf960ebc31eafd71b12fa88794bfa5cfed2c3f3794a18e232e8d9cdae77f2af", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003102", "prompt": "Calculate: -4 - 0 - 262 * (8 * (-56) / (-1))", "solution_steps": ["Subtract: -4 - 0 = -4", "Multiply: 8 * (-56) = -448", "Divide: -448 / (-1) = 448", "Multiply: 262 * 448 = 117376", "Subtract: -4 - 117376 = -117380"], "final_answer": "-117380", "answer_type": "integer", "kind": "expression", "math_text": "-4 - 0 - 262 * (8 * (-56) / (-1))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (* n (/ (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 0, \"c\": 262, \"d\": 8, \"e\": -56, \"f\": -1}", "seed": "10781136773684848522", "semantic_fingerprint": "sha256:15c4b1c7792e405ed7321d61da219a71e79a600b3188d24a2ad69d61071f3c1a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003103", "prompt": "Compute: -30 / (-2) + 36 / 7", "solution_steps": ["Divide: -30 / (-2) = 15", "Divide: 36 / 7 = 36/7", "Add: 15 + 36/7 = 141/7"], "final_answer": "141/7", "answer_type": "rational", "kind": "expression", "math_text": "-30 / (-2) + 36 / 7", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": -2, \"c\": 36, \"d\": 7}", "seed": "3689107331662060631", "semantic_fingerprint": "sha256:e37b1f536a3cbdac44cd92214edab475ebe3e86a46fc6a892e140c0d02e40b4c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003104", "prompt": "Solve for x: 12(x - 4) + 3 = 9(x + 3) - 698", "solution_steps": ["Expand: 12x - 48 + 3 = 9(x + 3) - 698", "Expand: 12x - 48 + 3 = 9x + 27 - 698", "Combine constants: 12x - 45 = 9x + 27 - 698", "Combine constants: 12x - 45 = 9x - 671", "Subtract 9x from both sides: 3x - 45 = -671", "Add 45 to both sides: 3x = -626", "Divide both sides by 3: x = -626/3"], "final_answer": "-626/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 4) + 3 = 9(x + 3) - 698", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": 3, \"d\": 9, \"e\": 3, \"f\": 698}", "seed": "8404999998438453802", "semantic_fingerprint": "sha256:1335c5a4a3982810648dfd08d3e88b0a49eedc86a93df9e2aaafae7378b813be", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003105", "prompt": "What is -719 / (-46) / 5 * (-42 * 86 / (-3))?", "solution_steps": ["Divide: -719 / (-46) = 719/46", "Divide: (719/46) / 5 = 719/230", "Multiply: -42 * 86 = -3612", "Divide: -3612 / (-3) = 1204", "Multiply: (719/230) * 1204 = 432838/115"], "final_answer": "432838/115", "answer_type": "rational", "kind": "expression", "math_text": "-719 / (-46) / 5 * (-42 * 86 / (-3))", "variable": null, "family": "expression_5op", "shape": "(* (/ (/ n n) n) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -719, \"b\": -46, \"c\": 5, \"d\": -42, \"e\": 86, \"f\": -3}", "seed": "2814749367062978749", "semantic_fingerprint": "sha256:2852297eb3d3d13eff9298f1be6384e33459b91d5456f7af3ebcc034fc0d758a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003106", "prompt": "Compute: (-641 - 187) * (95 / 983)", "solution_steps": ["Subtract: -641 - 187 = -828", "Divide: 95 / 983 = 95/983", "Multiply: -828 * (95/983) = -78660/983"], "final_answer": "-78660/983", "answer_type": "rational", "kind": "expression", "math_text": "(-641 - 187) * (95 / 983)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -641, \"b\": 187, \"c\": 95, \"d\": 983}", "seed": "2451768806487400379", "semantic_fingerprint": "sha256:7148ccba1c4bda692d77277550f09c4f63b0f9844bd9dd1e0789a68b86091d1e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003107", "prompt": "Solve the equation 9(x - 9) + 4 = 8(x + 13) - 200 for x.", "solution_steps": ["Expand: 9x - 81 + 4 = 8(x + 13) - 200", "Expand: 9x - 81 + 4 = 8x + 104 - 200", "Combine constants: 9x - 77 = 8x + 104 - 200", "Combine constants: 9x - 77 = 8x - 96", "Subtract 8x from both sides: x - 77 = -96", "Add 77 to both sides: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 9) + 4 = 8(x + 13) - 200", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 4, \"d\": 8, \"e\": 13, \"g\": -200, \"x\": -19}", "seed": "3338893453831604749", "semantic_fingerprint": "sha256:c331f4b8667dd40668d911856209b73ce03256b8b2cc9318b8eb91ab0e0d1585", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003108", "prompt": "What value of x satisfies 5(x - 34) - 47 = 11(x - 9) - 34?", "solution_steps": ["Expand: 5x - 170 - 47 = 11(x - 9) - 34", "Expand: 5x - 170 - 47 = 11x - 99 - 34", "Combine constants: 5x - 217 = 11x - 99 - 34", "Combine constants: 5x - 217 = 11x - 133", "Subtract 11x from both sides: -6x - 217 = -133", "Add 217 to both sides: -6x = 84", "Divide both sides by -6: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 34) - 47 = 11(x - 9) - 34", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 34, \"c\": 47, \"d\": 11, \"e\": 9, \"g\": -34, \"x\": -14}", "seed": "7054706903345687926", "semantic_fingerprint": "sha256:ed31a346064fb944739d2b5b401d7edadad1c286dce801561d21d07d8e0b4de1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003109", "prompt": "Calculate: 32 + (-43) - (557 + (-974))", "solution_steps": ["Add: 32 + (-43) = -11", "Add: 557 + (-974) = -417", "Subtract: -11 - (-417) = 406"], "final_answer": "406", "answer_type": "integer", "kind": "expression", "math_text": "32 + (-43) - (557 + (-974))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -43, \"c\": 557, \"d\": -974}", "seed": "18176733334508372342", "semantic_fingerprint": "sha256:12b02bc5fbf2e5a206eba716dc9fcbb94d5da21b69ff185ea929e9611e977658", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003110", "prompt": "Solve the equation 5x - 3 = -8(x + 8) + 282 for x.", "solution_steps": ["Expand: 5x - 3 = -8x - 64 + 282", "Combine constants: 5x - 3 = -8x + 218", "Add 8x to both sides: 13x - 3 = 218", "Add 3 to both sides: 13x = 221", "Divide both sides by 13: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 3 = -8(x + 8) + 282", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": -8, \"d\": 8, \"f\": 282, \"x\": 17}", "seed": "6196394564098700564", "semantic_fingerprint": "sha256:9fc90a42ee37b5a271183e68cb86a1b5227b6930a6e61bde1f84337cd9916895", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003111", "prompt": "Evaluate: 125 / 23 + (-9) / (-71)", "solution_steps": ["Divide: 125 / 23 = 125/23", "Divide: -9 / (-71) = 9/71", "Add: 125/23 + 9/71 = 9082/1633"], "final_answer": "9082/1633", "answer_type": "rational", "kind": "expression", "math_text": "125 / 23 + (-9) / (-71)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 125, \"b\": 23, \"c\": -9, \"d\": -71}", "seed": "8214879542941313046", "semantic_fingerprint": "sha256:bfce0219a5846db6656222ddcedb3c4683a207ff889a35a087a0f7ebd9dbdb5e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003112", "prompt": "Calculate: 0 / 74 + (366 - 501) / (32 - (-45))", "solution_steps": ["Divide: 0 / 74 = 0", "Subtract: 366 - 501 = -135", "Subtract: 32 - (-45) = 77", "Divide: -135 / 77 = -135/77", "Add: 0 + (-135/77) = -135/77"], "final_answer": "-135/77", "answer_type": "rational", "kind": "expression", "math_text": "0 / 74 + (366 - 501) / (32 - (-45))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (/ (- n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 74, \"c\": 366, \"d\": 501, \"e\": 32, \"f\": -45}", "seed": "10432839296782247110", "semantic_fingerprint": "sha256:d6f497a845eb130815fe65cd9fa68b17dea90ce44316f834da3b782721982fdd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003113", "prompt": "Solve the equation 11(x - 5) + 240 = -5(x - 37) for x.", "solution_steps": ["Expand: 11x - 55 + 240 = -5(x - 37)", "Expand: 11x - 55 + 240 = -5x + 185", "Combine constants: 11x + 185 = -5x + 185", "Add 5x to both sides: 16x + 185 = 185", "Subtract 185 from both sides: 16x = 0", "Divide both sides by 16: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 5) + 240 = -5(x - 37)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": -5, \"d\": 37, \"f\": 240, \"x\": 0}", "seed": "17743005947273871109", "semantic_fingerprint": "sha256:f0bf36273e683332e14d6f6a77ca3490b01d920fe3afe093d3366e86a428918f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003114", "prompt": "Solve the equation -6(x - 20) - 14 = 12(x - 22) - 894 for x.", "solution_steps": ["Expand: -6x + 120 - 14 = 12(x - 22) - 894", "Expand: -6x + 120 - 14 = 12x - 264 - 894", "Combine constants: -6x + 106 = 12x - 264 - 894", "Combine constants: -6x + 106 = 12x - 1158", "Subtract 12x from both sides: -18x + 106 = -1158", "Subtract 106 from both sides: -18x = -1264", "Divide both sides by -18: x = 632/9"], "final_answer": "632/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 20) - 14 = 12(x - 22) - 894", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 20, \"c\": 14, \"d\": 12, \"e\": 22, \"f\": 894}", "seed": "16667591506269825407", "semantic_fingerprint": "sha256:d5c20ed88b26f83c3b36b74a776a967b06326ae1b474ccd479b5e121a48d5313", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003115", "prompt": "Solve for x: -10(x - 163) = 4x - 11", "solution_steps": ["Expand: -10x + 1630 = 4x - 11", "Subtract 4x from both sides: -14x + 1630 = -11", "Subtract 1630 from both sides: -14x = -1641", "Divide both sides by -14: x = 1641/14"], "final_answer": "1641/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 163) = 4x - 11", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 163, \"c\": 4, \"d\": 11}", "seed": "9126722234641874742", "semantic_fingerprint": "sha256:7dbe821002972230f0071cb19c79b48b3f1d55056fee766de2100c0eb6293147", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003116", "prompt": "Solve the equation 12(x + 23) + 1 = 6(x + 81) - 245 for x.", "solution_steps": ["Expand: 12x + 276 + 1 = 6(x + 81) - 245", "Expand: 12x + 276 + 1 = 6x + 486 - 245", "Combine constants: 12x + 277 = 6x + 486 - 245", "Combine constants: 12x + 277 = 6x + 241", "Subtract 6x from both sides: 6x + 277 = 241", "Subtract 277 from both sides: 6x = -36", "Divide both sides by 6: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 23) + 1 = 6(x + 81) - 245", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 23, \"c\": 1, \"d\": 6, \"e\": 81, \"g\": -245, \"x\": -6}", "seed": "5140077357677676437", "semantic_fingerprint": "sha256:ac03be32cb2edc9cd7a2f2efe9a3798611d2710534e62916213c8ef9a50933c7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003117", "prompt": "Compute: 990 + (-6 * (-9) - 42)", "solution_steps": ["Multiply: -6 * (-9) = 54", "Subtract: 54 - 42 = 12", "Add: 990 + 12 = 1002"], "final_answer": "1002", "answer_type": "integer", "kind": "expression", "math_text": "990 + (-6 * (-9) - 42)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 990, \"b\": -6, \"c\": -9, \"d\": 42}", "seed": "1746820635729435994", "semantic_fingerprint": "sha256:33c678c92722fd4c496529dce922dd734c699e5aa46b6b18c0076db76f924bd6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003118", "prompt": "What value of x satisfies 7(x - 236) - 59 = 2(x - 965) - 898?", "solution_steps": ["Expand: 7x - 1652 - 59 = 2(x - 965) - 898", "Expand: 7x - 1652 - 59 = 2x - 1930 - 898", "Combine constants: 7x - 1711 = 2x - 1930 - 898", "Combine constants: 7x - 1711 = 2x - 2828", "Subtract 2x from both sides: 5x - 1711 = -2828", "Add 1711 to both sides: 5x = -1117", "Divide both sides by 5: x = -1117/5"], "final_answer": "-1117/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 236) - 59 = 2(x - 965) - 898", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 236, \"c\": 59, \"d\": 2, \"e\": 965, \"f\": 898}", "seed": "2589523180796615704", "semantic_fingerprint": "sha256:87ac1145b2bbe323ecb7e96d060e7b00213d526d1fe32a227fafba1e8f54a3df", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003119", "prompt": "Solve for x: 6(x - 79) + 43 = -2(x + 9) - 269", "solution_steps": ["Expand: 6x - 474 + 43 = -2(x + 9) - 269", "Expand: 6x - 474 + 43 = -2x - 18 - 269", "Combine constants: 6x - 431 = -2x - 18 - 269", "Combine constants: 6x - 431 = -2x - 287", "Add 2x to both sides: 8x - 431 = -287", "Add 431 to both sides: 8x = 144", "Divide both sides by 8: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 79) + 43 = -2(x + 9) - 269", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 79, \"c\": 43, \"d\": -2, \"e\": 9, \"g\": -269, \"x\": 18}", "seed": "1659637548113500287", "semantic_fingerprint": "sha256:2f0baf8e71b548b1a5fbc32fba0d7a3f6e592e4bf1ea802685e47fdf91d745b9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003120", "prompt": "Solve the equation -10(x + 19) + 86 = 7(x + 84) - 896 for x.", "solution_steps": ["Expand: -10x - 190 + 86 = 7(x + 84) - 896", "Expand: -10x - 190 + 86 = 7x + 588 - 896", "Combine constants: -10x - 104 = 7x + 588 - 896", "Combine constants: -10x - 104 = 7x - 308", "Subtract 7x from both sides: -17x - 104 = -308", "Add 104 to both sides: -17x = -204", "Divide both sides by -17: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 19) + 86 = 7(x + 84) - 896", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 19, \"c\": 86, \"d\": 7, \"e\": 84, \"g\": -896, \"x\": 12}", "seed": "11281798477377095498", "semantic_fingerprint": "sha256:c87cf41f9aa685280bdf1607107441a575e2d684932c3152e7a4a76ede9f9104", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003121", "prompt": "What value of x satisfies x - 3 = 3(x - 8) + 17?", "solution_steps": ["Expand: x - 3 = 3x - 24 + 17", "Combine constants: x - 3 = 3x - 7", "Subtract 3x from both sides: -2x - 3 = -7", "Add 3 to both sides: -2x = -4", "Divide both sides by -2: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3 = 3(x - 8) + 17", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 8, \"e\": 17, \"x\": 2}", "seed": "16685424405096018662", "semantic_fingerprint": "sha256:c139f91c776d8d66b800b53bcb94f61bf025f0a26d3364988937d463f0d3dc9b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003122", "prompt": "Calculate: 7 + (-5 / (-667) + (-750 + (-6)))", "solution_steps": ["Divide: -5 / (-667) = 5/667", "Add: -750 + (-6) = -756", "Add: 5/667 + (-756) = -504247/667", "Add: 7 + (-504247/667) = -499578/667"], "final_answer": "-499578/667", "answer_type": "rational", "kind": "expression", "math_text": "7 + (-5 / (-667) + (-750 + (-6)))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -5, \"c\": -667, \"d\": -750, \"e\": -6}", "seed": "5696413691353856881", "semantic_fingerprint": "sha256:dac5f8ede71a533f452ac794d4f9f28315149659350c124f52c4c3178428379f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003123", "prompt": "What value of x satisfies 4x - 12 = -4(x + 35) + 24?", "solution_steps": ["Expand: 4x - 12 = -4x - 140 + 24", "Combine constants: 4x - 12 = -4x - 116", "Add 4x to both sides: 8x - 12 = -116", "Add 12 to both sides: 8x = -104", "Divide both sides by 8: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 12 = -4(x + 35) + 24", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 12, \"c\": -4, \"d\": 35, \"f\": 24, \"x\": -13}", "seed": "11835637101817172824", "semantic_fingerprint": "sha256:3a3ca3231c8e5ed5640e7207678d1047780ea73155a820d5e7fb06ccddd32044", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003124", "prompt": "Solve for x: 6(x - 63) + 761 = 5x + 375", "solution_steps": ["Expand: 6x - 378 + 761 = 5x + 375", "Combine constants: 6x + 383 = 5x + 375", "Subtract 5x from both sides: x + 383 = 375", "Subtract 383 from both sides: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 63) + 761 = 5x + 375", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 63, \"c\": 761, \"d\": 5, \"f\": 375, \"x\": -8}", "seed": "7314454787919676597", "semantic_fingerprint": "sha256:7315907003b658f6bd7bab66b750031dad2313b3cf32c525cb518f0b6bb49e07", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003125", "prompt": "Solve for x: 2(x - 471) - 68 = 11(x - 51) - 341", "solution_steps": ["Expand: 2x - 942 - 68 = 11(x - 51) - 341", "Expand: 2x - 942 - 68 = 11x - 561 - 341", "Combine constants: 2x - 1010 = 11x - 561 - 341", "Combine constants: 2x - 1010 = 11x - 902", "Subtract 11x from both sides: -9x - 1010 = -902", "Add 1010 to both sides: -9x = 108", "Divide both sides by -9: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 471) - 68 = 11(x - 51) - 341", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 471, \"c\": 68, \"d\": 11, \"e\": 51, \"g\": -341, \"x\": -12}", "seed": "2880536293435390012", "semantic_fingerprint": "sha256:5b4add17a7ed6519e21e30c5ec63760f100e72f299125fcbd912dd8caadb9616", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003126", "prompt": "Compute: (34 + 9) / (-42 / (-3))", "solution_steps": ["Add: 34 + 9 = 43", "Divide: -42 / (-3) = 14", "Divide: 43 / 14 = 43/14"], "final_answer": "43/14", "answer_type": "rational", "kind": "expression", "math_text": "(34 + 9) / (-42 / (-3))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": 9, \"c\": -42, \"d\": -3}", "seed": "6575667132992568727", "semantic_fingerprint": "sha256:6c01e0ead3b907cfbe8f6670d9818b2dc2d5645881b70bac9eca021cd2a62a27", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003127", "prompt": "Evaluate: 63 / (-24 * (-117)) - (-94)", "solution_steps": ["Multiply: -24 * (-117) = 2808", "Divide: 63 / 2808 = 7/312", "Subtract: 7/312 - (-94) = 29335/312"], "final_answer": "29335/312", "answer_type": "rational", "kind": "expression", "math_text": "63 / (-24 * (-117)) - (-94)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -24, \"c\": -117, \"d\": -94}", "seed": "158400238164536286", "semantic_fingerprint": "sha256:bd49b3e1176e5525db7d0268f92a7a0de8ae445d0030bb65e127f7dbd93ab645", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003128", "prompt": "Solve the equation 6(x - 8) + 3 = 7x + 693 for x.", "solution_steps": ["Expand: 6x - 48 + 3 = 7x + 693", "Combine constants: 6x - 45 = 7x + 693", "Subtract 7x from both sides: -x - 45 = 693", "Add 45 to both sides: -x = 738", "Divide both sides by -1: x = -738"], "final_answer": "-738", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 8) + 3 = 7x + 693", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 3, \"d\": 7, \"e\": 693}", "seed": "17331701074436321107", "semantic_fingerprint": "sha256:342f0c5758c70551613aa273f4262cbbb7353813daf3d29fe49eb6f714a9b7db", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003129", "prompt": "What value of x satisfies x - 2 = 2(x - 47) + 85?", "solution_steps": ["Expand: x - 2 = 2x - 94 + 85", "Combine constants: x - 2 = 2x - 9", "Subtract 2x from both sides: -x - 2 = -9", "Add 2 to both sides: -x = -7", "Divide both sides by -1: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2 = 2(x - 47) + 85", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 47, \"e\": 85, \"x\": 7}", "seed": "5138657746154843768", "semantic_fingerprint": "sha256:b96239af26d065af8b05c0bc21daf161fd17224d117c67888440dcfc7dcfa8f9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003130", "prompt": "Solve the equation x - 67 = 12(x - 7) + 3 for x.", "solution_steps": ["Expand: x - 67 = 12x - 84 + 3", "Combine constants: x - 67 = 12x - 81", "Subtract 12x from both sides: -11x - 67 = -81", "Add 67 to both sides: -11x = -14", "Divide both sides by -11: x = 14/11"], "final_answer": "14/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 67 = 12(x - 7) + 3", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 12, \"c\": 7, \"d\": 3}", "seed": "4619666948915999049", "semantic_fingerprint": "sha256:d0d19f83d87ede57c961d7ca87c225c56dabb20bf6f24800be99db18d2c87384", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003131", "prompt": "Calculate: (-92 + 3) * (-5 - 433) / (-6)", "solution_steps": ["Add: -92 + 3 = -89", "Subtract: -5 - 433 = -438", "Multiply: -89 * (-438) = 38982", "Divide: 38982 / (-6) = -6497"], "final_answer": "-6497", "answer_type": "integer", "kind": "expression", "math_text": "(-92 + 3) * (-5 - 433) / (-6)", "variable": null, "family": "expression_4op", "shape": "(/ (* (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 3, \"c\": -5, \"d\": 433, \"e\": -6}", "seed": "4339580116272093452", "semantic_fingerprint": "sha256:630540428d9dd0795544985a58864eb5d79f4a907fb6cf0dc4bdf3ee6375961a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003132", "prompt": "What is 18 / (-10) + 191 / (-9)?", "solution_steps": ["Divide: 18 / (-10) = -9/5", "Divide: 191 / (-9) = -191/9", "Add: -9/5 + (-191/9) = -1036/45"], "final_answer": "-1036/45", "answer_type": "rational", "kind": "expression", "math_text": "18 / (-10) + 191 / (-9)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": -10, \"c\": 191, \"d\": -9}", "seed": "17033557790914389268", "semantic_fingerprint": "sha256:6c0d2348ffbf2b36b7bfc77ee0fc1def03df7eae7b0e23e771418b0d2959a500", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003133", "prompt": "Solve for x: 11(x + 2) + 36 = 8(x + 18) - 140", "solution_steps": ["Expand: 11x + 22 + 36 = 8(x + 18) - 140", "Expand: 11x + 22 + 36 = 8x + 144 - 140", "Combine constants: 11x + 58 = 8x + 144 - 140", "Combine constants: 11x + 58 = 8x + 4", "Subtract 8x from both sides: 3x + 58 = 4", "Subtract 58 from both sides: 3x = -54", "Divide both sides by 3: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 2) + 36 = 8(x + 18) - 140", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 36, \"d\": 8, \"e\": 18, \"g\": -140, \"x\": -18}", "seed": "11581859476538087794", "semantic_fingerprint": "sha256:a3774813b7fbbc6567294a21a71d1a20080fc11ce1f77ca12c0a36972a5d8414", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003134", "prompt": "Evaluate: 65 / (-77) + 9 / (-1)", "solution_steps": ["Divide: 65 / (-77) = -65/77", "Divide: 9 / (-1) = -9", "Add: -65/77 + (-9) = -758/77"], "final_answer": "-758/77", "answer_type": "rational", "kind": "expression", "math_text": "65 / (-77) + 9 / (-1)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -77, \"c\": 9, \"d\": -1}", "seed": "7701222556582107049", "semantic_fingerprint": "sha256:36cbcead836bba09cff7807b65b24efb750022af2f607005bfd098c71d434566", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003135", "prompt": "What is -699 - 9 / (-70 / 227)?", "solution_steps": ["Divide: -70 / 227 = -70/227", "Divide: 9 / (-70/227) = -2043/70", "Subtract: -699 - (-2043/70) = -46887/70"], "final_answer": "-46887/70", "answer_type": "rational", "kind": "expression", "math_text": "-699 - 9 / (-70 / 227)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -699, \"b\": 9, \"c\": -70, \"d\": 227}", "seed": "594252079897953035", "semantic_fingerprint": "sha256:5dececa3766f576a1e1d69679e3ca8018e546622487be72b8230f2d614d4aa1d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003136", "prompt": "Find x: -3(x + 9) - 99 = x - 186", "solution_steps": ["Expand: -3x - 27 - 99 = x - 186", "Combine constants: -3x - 126 = x - 186", "Subtract x from both sides: -4x - 126 = -186", "Add 126 to both sides: -4x = -60", "Divide both sides by -4: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 9) - 99 = x - 186", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 9, \"c\": 99, \"e\": -186, \"x\": 15}", "seed": "10068217409067090706", "semantic_fingerprint": "sha256:fc71a893f9ff370e1120f35fc203b8e433e2562834190abfd99ac7ca2a215b5e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003137", "prompt": "Evaluate: (3 / (-799) + 9) * 58", "solution_steps": ["Divide: 3 / (-799) = -3/799", "Add: -3/799 + 9 = 7188/799", "Multiply: (7188/799) * 58 = 416904/799"], "final_answer": "416904/799", "answer_type": "rational", "kind": "expression", "math_text": "(3 / (-799) + 9) * 58", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -799, \"c\": 9, \"d\": 58}", "seed": "9379298459055236868", "semantic_fingerprint": "sha256:d60b9d908ae6559814e82464c479b024d8a90a0dde7eb325070dae33f12fff85", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003138", "prompt": "Solve for x: x - 7 = 2(x - 745) + 551", "solution_steps": ["Expand: x - 7 = 2x - 1490 + 551", "Combine constants: x - 7 = 2x - 939", "Subtract 2x from both sides: -x - 7 = -939", "Add 7 to both sides: -x = -932", "Divide both sides by -1: x = 932"], "final_answer": "932", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7 = 2(x - 745) + 551", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": 745, \"d\": 551}", "seed": "11282235327869918808", "semantic_fingerprint": "sha256:acbda906413aa9c1cc92a84e4cf949e3256e97852f3b74f75814b378593ec203", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003139", "prompt": "Evaluate: -6 - (0 * 942 + 9)", "solution_steps": ["Multiply: 0 * 942 = 0", "Add: 0 + 9 = 9", "Subtract: -6 - 9 = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (0 * 942 + 9)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 0, \"c\": 942, \"d\": 9}", "seed": "17468183693907970400", "semantic_fingerprint": "sha256:7922e71503491906cf3c4f56e745c922e477ce1040f4c8100d50617c96d490fc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003140", "prompt": "Solve the equation 3x - 8 = -2(x + 59) + 105 for x.", "solution_steps": ["Expand: 3x - 8 = -2x - 118 + 105", "Combine constants: 3x - 8 = -2x - 13", "Add 2x to both sides: 5x - 8 = -13", "Add 8 to both sides: 5x = -5", "Divide both sides by 5: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 8 = -2(x + 59) + 105", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": -2, \"d\": 59, \"f\": 105, \"x\": -1}", "seed": "756797448545200977", "semantic_fingerprint": "sha256:faf5b5d46eb2e68131f619bc2cebc601aa0a62afb1300e56e9f1447a42b04cc3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003141", "prompt": "Compute: 665 + 568 - (-271 + 722)", "solution_steps": ["Add: 665 + 568 = 1233", "Add: -271 + 722 = 451", "Subtract: 1233 - 451 = 782"], "final_answer": "782", "answer_type": "integer", "kind": "expression", "math_text": "665 + 568 - (-271 + 722)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 665, \"b\": 568, \"c\": -271, \"d\": 722}", "seed": "18025772816279939836", "semantic_fingerprint": "sha256:a033426b48a07259cc11610f3628daf266ac3cc56401f8d392b6f249590603af", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003142", "prompt": "Solve the equation 9(x + 12) - 7 = x - 51 for x.", "solution_steps": ["Expand: 9x + 108 - 7 = x - 51", "Combine constants: 9x + 101 = x - 51", "Subtract x from both sides: 8x + 101 = -51", "Subtract 101 from both sides: 8x = -152", "Divide both sides by 8: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 12) - 7 = x - 51", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 12, \"c\": 7, \"e\": -51, \"x\": -19}", "seed": "5152014206799073434", "semantic_fingerprint": "sha256:24d9d824d07ff591f2eb0accdcc45c277b125470638e5fca8ffa955bf39c0c10", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003143", "prompt": "Solve the equation 2(x - 4) - 78 = 8(x - 7) for x.", "solution_steps": ["Expand: 2x - 8 - 78 = 8(x - 7)", "Expand: 2x - 8 - 78 = 8x - 56", "Combine constants: 2x - 86 = 8x - 56", "Subtract 8x from both sides: -6x - 86 = -56", "Add 86 to both sides: -6x = 30", "Divide both sides by -6: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 4) - 78 = 8(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": 8, \"d\": 7, \"f\": -78, \"x\": -5}", "seed": "12941149817166794939", "semantic_fingerprint": "sha256:2a1506a3080f7d71feeb7cf1b274f178af559d367302656ab9b60e119a1f025e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003144", "prompt": "Evaluate: 83 / 5 * (-999 / (-639) * (67 / 1))", "solution_steps": ["Divide: 83 / 5 = 83/5", "Divide: -999 / (-639) = 111/71", "Divide: 67 / 1 = 67", "Multiply: (111/71) * 67 = 7437/71", "Multiply: (83/5) * (7437/71) = 617271/355"], "final_answer": "617271/355", "answer_type": "rational", "kind": "expression", "math_text": "83 / 5 * (-999 / (-639) * (67 / 1))", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (* (/ n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 5, \"c\": -999, \"d\": -639, \"e\": 67, \"f\": 1}", "seed": "1078744760705391983", "semantic_fingerprint": "sha256:6090af8742ba8016d4cad6b2fa88f044decec91225a71986a3bb6a81e3adf356", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003145", "prompt": "Evaluate: 25 * 52 / 42 / (-62)", "solution_steps": ["Multiply: 25 * 52 = 1300", "Divide: 1300 / 42 = 650/21", "Divide: (650/21) / (-62) = -325/651"], "final_answer": "-325/651", "answer_type": "rational", "kind": "expression", "math_text": "25 * 52 / 42 / (-62)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": 52, \"c\": 42, \"d\": -62}", "seed": "15478084880416755323", "semantic_fingerprint": "sha256:684042e53531a23fb3b2d8b72add7ff9a60434364a1094cfe9e977e289407a90", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003146", "prompt": "Solve for x: 8(x - 3) + 910 = -3(x - 255)", "solution_steps": ["Expand: 8x - 24 + 910 = -3(x - 255)", "Expand: 8x - 24 + 910 = -3x + 765", "Combine constants: 8x + 886 = -3x + 765", "Add 3x to both sides: 11x + 886 = 765", "Subtract 886 from both sides: 11x = -121", "Divide both sides by 11: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 3) + 910 = -3(x - 255)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": -3, \"d\": 255, \"f\": 910, \"x\": -11}", "seed": "4533542608241012331", "semantic_fingerprint": "sha256:079c208d05b576d14edc353bc752880b3619afe574d95038d8014b50b52e2686", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003147", "prompt": "What value of x satisfies 2(x - 4) + 957 = 11x + 805?", "solution_steps": ["Expand: 2x - 8 + 957 = 11x + 805", "Combine constants: 2x + 949 = 11x + 805", "Subtract 11x from both sides: -9x + 949 = 805", "Subtract 949 from both sides: -9x = -144", "Divide both sides by -9: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 4) + 957 = 11x + 805", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": 957, \"d\": 11, \"f\": 805, \"x\": 16}", "seed": "16224159952818863910", "semantic_fingerprint": "sha256:3e50321a2781757657499bfcee89821c1eaa0a12d370de78fbfca71a93585f85", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003148", "prompt": "Solve the equation 3(x - 240) = 12x - 648 for x.", "solution_steps": ["Expand: 3x - 720 = 12x - 648", "Subtract 12x from both sides: -9x - 720 = -648", "Add 720 to both sides: -9x = 72", "Divide both sides by -9: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 240) = 12x - 648", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 240, \"c\": 12, \"e\": -648, \"x\": -8}", "seed": "1453652631034855251", "semantic_fingerprint": "sha256:e2875bbe5f4e5a225c04ff1496833b150c81516353c32441ea7154732d1980e0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003149", "prompt": "Compute: (83 / 78 - (-7)) * (0 * (-78))", "solution_steps": ["Divide: 83 / 78 = 83/78", "Subtract: 83/78 - (-7) = 629/78", "Multiply: 0 * (-78) = 0", "Multiply: (629/78) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(83 / 78 - (-7)) * (0 * (-78))", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 78, \"c\": -7, \"d\": 0, \"e\": -78}", "seed": "2385858224817739778", "semantic_fingerprint": "sha256:60499b1b734fbbc1e2ab008e952cc1c9e02b96c4e666f2cf4ece6699d143abdb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003150", "prompt": "Evaluate: 95 - (998 + (-46)) - (-60 + (52 + (-13)))", "solution_steps": ["Add: 998 + (-46) = 952", "Subtract: 95 - 952 = -857", "Add: 52 + (-13) = 39", "Add: -60 + 39 = -21", "Subtract: -857 - (-21) = -836"], "final_answer": "-836", "answer_type": "integer", "kind": "expression", "math_text": "95 - (998 + (-46)) - (-60 + (52 + (-13)))", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ n n)) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": 998, \"c\": -46, \"d\": -60, \"e\": 52, \"f\": -13}", "seed": "14867936890072669595", "semantic_fingerprint": "sha256:6cfc5311cc51a3b13a209390790b26120502ccc0ebbe79cf61d2501468633b94", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003151", "prompt": "What is 87 + 385 - 679 / 3 + 6?", "solution_steps": ["Add: 87 + 385 = 472", "Divide: 679 / 3 = 679/3", "Subtract: 472 - 679/3 = 737/3", "Add: 737/3 + 6 = 755/3"], "final_answer": "755/3", "answer_type": "rational", "kind": "expression", "math_text": "87 + 385 - 679 / 3 + 6", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": 385, \"c\": 679, \"d\": 3, \"e\": 6}", "seed": "893716678402380501", "semantic_fingerprint": "sha256:2fff35c81c9f516b9ec58ef99b46775f104966ec26940d51e04977e34db46641", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003152", "prompt": "What is -62 - 482 - (35 / 80 + (-779))?", "solution_steps": ["Subtract: -62 - 482 = -544", "Divide: 35 / 80 = 7/16", "Add: 7/16 + (-779) = -12457/16", "Subtract: -544 - (-12457/16) = 3753/16"], "final_answer": "3753/16", "answer_type": "rational", "kind": "expression", "math_text": "-62 - 482 - (35 / 80 + (-779))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": 482, \"c\": 35, \"d\": 80, \"e\": -779}", "seed": "10639794987413904605", "semantic_fingerprint": "sha256:03c0f71137987d60c87475e947c8002b75c91300df27e991218ad42fe89cf558", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003153", "prompt": "Find x: 11(x + 86) - 4 = x - 10", "solution_steps": ["Expand: 11x + 946 - 4 = x - 10", "Combine constants: 11x + 942 = x - 10", "Subtract x from both sides: 10x + 942 = -10", "Subtract 942 from both sides: 10x = -952", "Divide both sides by 10: x = -476/5"], "final_answer": "-476/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 86) - 4 = x - 10", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 86, \"c\": 4, \"d\": 10}", "seed": "2063048820911121992", "semantic_fingerprint": "sha256:62b289f223c1379a9064094f5a0348658ed7f7d60ef960239a8eb3f5c4c2b4c4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003154", "prompt": "Calculate: -813 + (4 * 81 - 464)", "solution_steps": ["Multiply: 4 * 81 = 324", "Subtract: 324 - 464 = -140", "Add: -813 + (-140) = -953"], "final_answer": "-953", "answer_type": "integer", "kind": "expression", "math_text": "-813 + (4 * 81 - 464)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -813, \"b\": 4, \"c\": 81, \"d\": 464}", "seed": "5923888225699205665", "semantic_fingerprint": "sha256:c6700bfe8e945853ee1edfad1f41746f8e028b4cba3441161ac67d1a46e588c4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003155", "prompt": "Evaluate: 4 * 0 + (-8 / (-5) - (-10))", "solution_steps": ["Multiply: 4 * 0 = 0", "Divide: -8 / (-5) = 8/5", "Subtract: 8/5 - (-10) = 58/5", "Add: 0 + 58/5 = 58/5"], "final_answer": "58/5", "answer_type": "rational", "kind": "expression", "math_text": "4 * 0 + (-8 / (-5) - (-10))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 0, \"c\": -8, \"d\": -5, \"e\": -10}", "seed": "4419190020101684329", "semantic_fingerprint": "sha256:75fc7e31d25b2953147ae0bc857d1d9e7864faefff517263c361aa31b6454517", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003156", "prompt": "What is 0 / (-2) - (-9) + 16 + (-620) * (-2)?", "solution_steps": ["Divide: 0 / (-2) = 0", "Subtract: 0 - (-9) = 9", "Add: 9 + 16 = 25", "Multiply: -620 * (-2) = 1240", "Add: 25 + 1240 = 1265"], "final_answer": "1265", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-2) - (-9) + 16 + (-620) * (-2)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- (/ n n) n) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -2, \"c\": -9, \"d\": 16, \"e\": -620, \"f\": -2}", "seed": "13358175178889226923", "semantic_fingerprint": "sha256:37c52b026a89a8ffa96af75bb211ddad117f400c35f1d9ae64a0a6503d439c07", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003157", "prompt": "What value of x satisfies 10(x + 67) + 24 = -4(x + 5) - 459?", "solution_steps": ["Expand: 10x + 670 + 24 = -4(x + 5) - 459", "Expand: 10x + 670 + 24 = -4x - 20 - 459", "Combine constants: 10x + 694 = -4x - 20 - 459", "Combine constants: 10x + 694 = -4x - 479", "Add 4x to both sides: 14x + 694 = -479", "Subtract 694 from both sides: 14x = -1173", "Divide both sides by 14: x = -1173/14"], "final_answer": "-1173/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 67) + 24 = -4(x + 5) - 459", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 67, \"c\": 24, \"d\": -4, \"e\": 5, \"f\": 459}", "seed": "2959669618478082337", "semantic_fingerprint": "sha256:4ebc21244019ae2e75dd2bc6cd2ed24fc9485f9e6fe96f1b52a1e86eca6839cf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003158", "prompt": "Find x: 5(x - 37) + 41 = -9x + 52", "solution_steps": ["Expand: 5x - 185 + 41 = -9x + 52", "Combine constants: 5x - 144 = -9x + 52", "Add 9x to both sides: 14x - 144 = 52", "Add 144 to both sides: 14x = 196", "Divide both sides by 14: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 37) + 41 = -9x + 52", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 37, \"c\": 41, \"d\": -9, \"f\": 52, \"x\": 14}", "seed": "11264849040998045810", "semantic_fingerprint": "sha256:91558c27f221c74e47b2738cc650d059a0044fbfa1c53064c2392f129fe3a414", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003159", "prompt": "What value of x satisfies 10(x - 14) + 350 = -12(x - 1)?", "solution_steps": ["Expand: 10x - 140 + 350 = -12(x - 1)", "Expand: 10x - 140 + 350 = -12x + 12", "Combine constants: 10x + 210 = -12x + 12", "Add 12x to both sides: 22x + 210 = 12", "Subtract 210 from both sides: 22x = -198", "Divide both sides by 22: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 14) + 350 = -12(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 14, \"c\": -12, \"d\": 1, \"f\": 350, \"x\": -9}", "seed": "7356502573686791745", "semantic_fingerprint": "sha256:e3a1c211ae4f59d82dbcbdc943639effc824c605e310bd5094b5a23ba32dbb0b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003160", "prompt": "Solve the equation 5(x - 54) + 2 = 12x + 5 for x.", "solution_steps": ["Expand: 5x - 270 + 2 = 12x + 5", "Combine constants: 5x - 268 = 12x + 5", "Subtract 12x from both sides: -7x - 268 = 5", "Add 268 to both sides: -7x = 273", "Divide both sides by -7: x = -39"], "final_answer": "-39", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 54) + 2 = 12x + 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 54, \"c\": 2, \"d\": 12, \"e\": 5}", "seed": "17714539021824939991", "semantic_fingerprint": "sha256:fc5204a552d84c8b155101babea7b19fee6d3a276c6b0c859e339d6c60abe5d5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003161", "prompt": "What value of x satisfies -6(x + 3) + 65 = 12(x + 32) - 319?", "solution_steps": ["Expand: -6x - 18 + 65 = 12(x + 32) - 319", "Expand: -6x - 18 + 65 = 12x + 384 - 319", "Combine constants: -6x + 47 = 12x + 384 - 319", "Combine constants: -6x + 47 = 12x + 65", "Subtract 12x from both sides: -18x + 47 = 65", "Subtract 47 from both sides: -18x = 18", "Divide both sides by -18: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 3) + 65 = 12(x + 32) - 319", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 3, \"c\": 65, \"d\": 12, \"e\": 32, \"g\": -319, \"x\": -1}", "seed": "15106947805197251611", "semantic_fingerprint": "sha256:f37187f13f601c33166d7980613849dce8309c5536d3f2d86f7f9c7a404b34bc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003162", "prompt": "Evaluate: (29 + (-6) + 37) * (-25)", "solution_steps": ["Add: 29 + (-6) = 23", "Add: 23 + 37 = 60", "Multiply: 60 * (-25) = -1500"], "final_answer": "-1500", "answer_type": "integer", "kind": "expression", "math_text": "(29 + (-6) + 37) * (-25)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": -6, \"c\": 37, \"d\": -25}", "seed": "2716036600243562650", "semantic_fingerprint": "sha256:855a603160daee488743ad60257f03fa8fb4327ed0ba1b4f5c58f13963c80c1e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003163", "prompt": "Evaluate: 0 + (-50) - (-84 + 2)", "solution_steps": ["Add: 0 + (-50) = -50", "Add: -84 + 2 = -82", "Subtract: -50 - (-82) = 32"], "final_answer": "32", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-50) - (-84 + 2)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -50, \"c\": -84, \"d\": 2}", "seed": "10311989881707874179", "semantic_fingerprint": "sha256:3e59fddb972768fb15cc773de078fdc5bb6f2307559acfa6ef7054607a7a248f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003164", "prompt": "Evaluate: 535 / (757 + (-597) - 81 / (-2))", "solution_steps": ["Add: 757 + (-597) = 160", "Divide: 81 / (-2) = -81/2", "Subtract: 160 - (-81/2) = 401/2", "Divide: 535 / (401/2) = 1070/401"], "final_answer": "1070/401", "answer_type": "rational", "kind": "expression", "math_text": "535 / (757 + (-597) - 81 / (-2))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (+ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 535, \"b\": 757, \"c\": -597, \"d\": 81, \"e\": -2}", "seed": "10656398231630722356", "semantic_fingerprint": "sha256:f7a7bcbee2d8c1940e85fdf6401deaf75fd37feae0a89dff9610659ac983479d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003165", "prompt": "What is -63 + (-94) - (49 - 6) + (-7) / (-557)?", "solution_steps": ["Add: -63 + (-94) = -157", "Subtract: 49 - 6 = 43", "Subtract: -157 - 43 = -200", "Divide: -7 / (-557) = 7/557", "Add: -200 + 7/557 = -111393/557"], "final_answer": "-111393/557", "answer_type": "rational", "kind": "expression", "math_text": "-63 + (-94) - (49 - 6) + (-7) / (-557)", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n n) (- n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": -94, \"c\": 49, \"d\": 6, \"e\": -7, \"f\": -557}", "seed": "8313373771712523950", "semantic_fingerprint": "sha256:971e2bf435c0ba8155aee3b37c59f2d60db76cbfd9afc3e4cdc7b0f8ebb42611", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003166", "prompt": "What value of x satisfies 12(x - 8) - 944 = 3(x - 77) - 3?", "solution_steps": ["Expand: 12x - 96 - 944 = 3(x - 77) - 3", "Expand: 12x - 96 - 944 = 3x - 231 - 3", "Combine constants: 12x - 1040 = 3x - 231 - 3", "Combine constants: 12x - 1040 = 3x - 234", "Subtract 3x from both sides: 9x - 1040 = -234", "Add 1040 to both sides: 9x = 806", "Divide both sides by 9: x = 806/9"], "final_answer": "806/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 8) - 944 = 3(x - 77) - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"c\": 944, \"d\": 3, \"e\": 77, \"f\": 3}", "seed": "11330229050480403355", "semantic_fingerprint": "sha256:edcec4338beb93c7fa7dcd69c74a1a25fbdf1c2ed108d40b2661cc88b1610686", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003167", "prompt": "What is (-586 - 6 + 46) * 62?", "solution_steps": ["Subtract: -586 - 6 = -592", "Add: -592 + 46 = -546", "Multiply: -546 * 62 = -33852"], "final_answer": "-33852", "answer_type": "integer", "kind": "expression", "math_text": "(-586 - 6 + 46) * 62", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -586, \"b\": 6, \"c\": 46, \"d\": 62}", "seed": "14646723405736853060", "semantic_fingerprint": "sha256:688d31da5536d3dc223d5f039cd3a4cc5aeb2d38f4e39d7f86e1b84a20838b3e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003168", "prompt": "What is -95 / (-2) - 3 - (-8)?", "solution_steps": ["Divide: -95 / (-2) = 95/2", "Subtract: 95/2 - 3 = 89/2", "Subtract: 89/2 - (-8) = 105/2"], "final_answer": "105/2", "answer_type": "rational", "kind": "expression", "math_text": "-95 / (-2) - 3 - (-8)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": -2, \"c\": 3, \"d\": -8}", "seed": "4395390142111509556", "semantic_fingerprint": "sha256:26c59fff0bb997fa44696eba4e0d763054ed326efa4d6da5c8004b7433952780", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003169", "prompt": "Find x: 3x - 90 = 2(x + 588) + 839", "solution_steps": ["Expand: 3x - 90 = 2x + 1176 + 839", "Combine constants: 3x - 90 = 2x + 2015", "Subtract 2x from both sides: x - 90 = 2015", "Add 90 to both sides: x = 2105"], "final_answer": "2105", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 90 = 2(x + 588) + 839", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 90, \"c\": 2, \"d\": 588, \"e\": 839}", "seed": "2556458284349552739", "semantic_fingerprint": "sha256:06ddfd3e7674fd6c7942cb4963b63119bd8d8d98566dd40ae9cf7a20fa173d35", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003170", "prompt": "What is -7 * 50 / (-4 + (-70))?", "solution_steps": ["Multiply: -7 * 50 = -350", "Add: -4 + (-70) = -74", "Divide: -350 / (-74) = 175/37"], "final_answer": "175/37", "answer_type": "rational", "kind": "expression", "math_text": "-7 * 50 / (-4 + (-70))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 50, \"c\": -4, \"d\": -70}", "seed": "2643461595623735100", "semantic_fingerprint": "sha256:a785901c79c0205dfd1ce5751d0f4517ca6209249e02eb89d9b1ffac2c8ff456", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003171", "prompt": "Compute: -49 * (-123 * (-94 - (-182)))", "solution_steps": ["Subtract: -94 - (-182) = 88", "Multiply: -123 * 88 = -10824", "Multiply: -49 * (-10824) = 530376"], "final_answer": "530376", "answer_type": "integer", "kind": "expression", "math_text": "-49 * (-123 * (-94 - (-182)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": -123, \"c\": -94, \"d\": -182}", "seed": "11091873101154919180", "semantic_fingerprint": "sha256:b101d8be7163cd3da5ecfefd606b7e3f8ed7c32c5c3dbd9480a0572dfe5313c9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003172", "prompt": "Solve the equation 11(x - 66) + 668 = 2(x - 2) for x.", "solution_steps": ["Expand: 11x - 726 + 668 = 2(x - 2)", "Expand: 11x - 726 + 668 = 2x - 4", "Combine constants: 11x - 58 = 2x - 4", "Subtract 2x from both sides: 9x - 58 = -4", "Add 58 to both sides: 9x = 54", "Divide both sides by 9: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 66) + 668 = 2(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 66, \"c\": 2, \"d\": 2, \"f\": 668, \"x\": 6}", "seed": "1962623345222177407", "semantic_fingerprint": "sha256:175f976ad4484ac573f73259313bd12cc3ad6508414fd601069b51414e2091ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003173", "prompt": "Compute: (-4 - (-94)) * (-67 / (-33))", "solution_steps": ["Subtract: -4 - (-94) = 90", "Divide: -67 / (-33) = 67/33", "Multiply: 90 * (67/33) = 2010/11"], "final_answer": "2010/11", "answer_type": "rational", "kind": "expression", "math_text": "(-4 - (-94)) * (-67 / (-33))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -94, \"c\": -67, \"d\": -33}", "seed": "13779913444126951090", "semantic_fingerprint": "sha256:cbd8ca1df83e0dfaf3829568141ffea44ad5aab63bc062094fa82a6c2f4141fb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003174", "prompt": "Calculate: (-735 + 8 - (-21)) * (82 - 887) + (-47)", "solution_steps": ["Add: -735 + 8 = -727", "Subtract: -727 - (-21) = -706", "Subtract: 82 - 887 = -805", "Multiply: -706 * (-805) = 568330", "Add: 568330 + (-47) = 568283"], "final_answer": "568283", "answer_type": "integer", "kind": "expression", "math_text": "(-735 + 8 - (-21)) * (82 - 887) + (-47)", "variable": null, "family": "expression_5op", "shape": "(+ (* (- (+ n n) n) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -735, \"b\": 8, \"c\": -21, \"d\": 82, \"e\": 887, \"f\": -47}", "seed": "4073458169393735924", "semantic_fingerprint": "sha256:adeabcb6e316537882224ca8cc92f9356cd0e2774af04755b8fbd8154c56e753", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003175", "prompt": "What value of x satisfies -7(x - 2) + 8 = -10x + 76?", "solution_steps": ["Expand: -7x + 14 + 8 = -10x + 76", "Combine constants: -7x + 22 = -10x + 76", "Add 10x to both sides: 3x + 22 = 76", "Subtract 22 from both sides: 3x = 54", "Divide both sides by 3: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 2) + 8 = -10x + 76", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 2, \"c\": 8, \"d\": -10, \"f\": 76, \"x\": 18}", "seed": "11496051161835271680", "semantic_fingerprint": "sha256:f0bd3aa19075e6a4e065a02319d1133925148c2642f848d005c1836f04cbb80b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003176", "prompt": "Solve the equation 7x - 188 = -11(x + 5) + 7 for x.", "solution_steps": ["Expand: 7x - 188 = -11x - 55 + 7", "Combine constants: 7x - 188 = -11x - 48", "Add 11x to both sides: 18x - 188 = -48", "Add 188 to both sides: 18x = 140", "Divide both sides by 18: x = 70/9"], "final_answer": "70/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x - 188 = -11(x + 5) + 7", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 188, \"c\": -11, \"d\": 5, \"e\": 7}", "seed": "5641732820940222187", "semantic_fingerprint": "sha256:194276b085b92d9744949eb56ffe50f2ac434552067b2161b425c7514698008f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003177", "prompt": "Calculate: 94 + (-40 - (58 - (-2)) * (-24))", "solution_steps": ["Subtract: 58 - (-2) = 60", "Multiply: 60 * (-24) = -1440", "Subtract: -40 - (-1440) = 1400", "Add: 94 + 1400 = 1494"], "final_answer": "1494", "answer_type": "integer", "kind": "expression", "math_text": "94 + (-40 - (58 - (-2)) * (-24))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (* (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": -40, \"c\": 58, \"d\": -2, \"e\": -24}", "seed": "10034201797998680959", "semantic_fingerprint": "sha256:db82fa5c2044ea47549dab1153c3dcf98f8439e6f327c6f4b9ede9d0341354bd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003178", "prompt": "What is -2 + (-83) - 9 + (-276)?", "solution_steps": ["Add: -2 + (-83) = -85", "Subtract: -85 - 9 = -94", "Add: -94 + (-276) = -370"], "final_answer": "-370", "answer_type": "integer", "kind": "expression", "math_text": "-2 + (-83) - 9 + (-276)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -83, \"c\": 9, \"d\": -276}", "seed": "15229285518670178900", "semantic_fingerprint": "sha256:c6ee422e8742d591d36171d10b1e510afce63f4c6218d6b351a8d1654773d2f6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003179", "prompt": "Solve for x: 4(x + 9) + 3 = 11(x + 7) - 108", "solution_steps": ["Expand: 4x + 36 + 3 = 11(x + 7) - 108", "Expand: 4x + 36 + 3 = 11x + 77 - 108", "Combine constants: 4x + 39 = 11x + 77 - 108", "Combine constants: 4x + 39 = 11x - 31", "Subtract 11x from both sides: -7x + 39 = -31", "Subtract 39 from both sides: -7x = -70", "Divide both sides by -7: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 9) + 3 = 11(x + 7) - 108", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 3, \"d\": 11, \"e\": 7, \"g\": -108, \"x\": 10}", "seed": "7268365577424538463", "semantic_fingerprint": "sha256:d7271521487129ec700c6c6ab1260b387714b9fb8262bb183b0c90e81737816a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003180", "prompt": "Solve the equation 6(x - 1) - 95 = 7(x - 21) - 408 for x.", "solution_steps": ["Expand: 6x - 6 - 95 = 7(x - 21) - 408", "Expand: 6x - 6 - 95 = 7x - 147 - 408", "Combine constants: 6x - 101 = 7x - 147 - 408", "Combine constants: 6x - 101 = 7x - 555", "Subtract 7x from both sides: -x - 101 = -555", "Add 101 to both sides: -x = -454", "Divide both sides by -1: x = 454"], "final_answer": "454", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 1) - 95 = 7(x - 21) - 408", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"c\": 95, \"d\": 7, \"e\": 21, \"f\": 408}", "seed": "9080204421808414288", "semantic_fingerprint": "sha256:829c51ab5db6049d1995ffa36551a5295006a93f290e91acc9b0d762c67de016", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003181", "prompt": "Calculate: -152 / 273 * (-14) + (20 + 0)", "solution_steps": ["Divide: -152 / 273 = -152/273", "Multiply: (-152/273) * (-14) = 304/39", "Add: 20 + 0 = 20", "Add: 304/39 + 20 = 1084/39"], "final_answer": "1084/39", "answer_type": "rational", "kind": "expression", "math_text": "-152 / 273 * (-14) + (20 + 0)", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -152, \"b\": 273, \"c\": -14, \"d\": 20, \"e\": 0}", "seed": "13257472688658664176", "semantic_fingerprint": "sha256:89e39e77beda39ada17e5b23d69942c9075743ee40321a0867212a257595ea14", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003182", "prompt": "Calculate: 6 + (8 + (-509)) - (-8)", "solution_steps": ["Add: 8 + (-509) = -501", "Add: 6 + (-501) = -495", "Subtract: -495 - (-8) = -487"], "final_answer": "-487", "answer_type": "integer", "kind": "expression", "math_text": "6 + (8 + (-509)) - (-8)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": -509, \"d\": -8}", "seed": "5871814245287904328", "semantic_fingerprint": "sha256:cf36f7fdaf7ec8ee8101ccbf64cc623d0ef812fca5327a6d416081a1012df8a6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003183", "prompt": "Evaluate: -154 - (-336 + (-92) - (793 + 633 - (-4)))", "solution_steps": ["Add: -336 + (-92) = -428", "Add: 793 + 633 = 1426", "Subtract: 1426 - (-4) = 1430", "Subtract: -428 - 1430 = -1858", "Subtract: -154 - (-1858) = 1704"], "final_answer": "1704", "answer_type": "integer", "kind": "expression", "math_text": "-154 - (-336 + (-92) - (793 + 633 - (-4)))", "variable": null, "family": "expression_5op", "shape": "(- n (- (+ n n) (- (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -154, \"b\": -336, \"c\": -92, \"d\": 793, \"e\": 633, \"f\": -4}", "seed": "6099195253075800105", "semantic_fingerprint": "sha256:58cfc4f4456cc204e162e06412de6b52118d5163f19bf3e09261189c25f32c66", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003184", "prompt": "Solve the equation x - 5 = 9(x - 22) + 105 for x.", "solution_steps": ["Expand: x - 5 = 9x - 198 + 105", "Combine constants: x - 5 = 9x - 93", "Subtract 9x from both sides: -8x - 5 = -93", "Add 5 to both sides: -8x = -88", "Divide both sides by -8: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5 = 9(x - 22) + 105", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 22, \"e\": 105, \"x\": 11}", "seed": "9228199530043709947", "semantic_fingerprint": "sha256:f69773cb056259112cae64500c8bd20d0ba82b1691a1a69b3110851a1b0ed961", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003185", "prompt": "Compute: 569 * (-67 - 700 + 88)", "solution_steps": ["Subtract: -67 - 700 = -767", "Add: -767 + 88 = -679", "Multiply: 569 * (-679) = -386351"], "final_answer": "-386351", "answer_type": "integer", "kind": "expression", "math_text": "569 * (-67 - 700 + 88)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 569, \"b\": -67, \"c\": 700, \"d\": 88}", "seed": "169889001153359097", "semantic_fingerprint": "sha256:3b9b7f7aab8439a2ea8199b69aaffef7386d502311fbd8d5ebaa18f3816c5524", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003186", "prompt": "Solve the equation 3(x - 3) + 626 = -8(x - 95) for x.", "solution_steps": ["Expand: 3x - 9 + 626 = -8(x - 95)", "Expand: 3x - 9 + 626 = -8x + 760", "Combine constants: 3x + 617 = -8x + 760", "Add 8x to both sides: 11x + 617 = 760", "Subtract 617 from both sides: 11x = 143", "Divide both sides by 11: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 3) + 626 = -8(x - 95)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": -8, \"d\": 95, \"f\": 626, \"x\": 13}", "seed": "1833020863188076699", "semantic_fingerprint": "sha256:5457a5ade3164670ae2f918519bd8b697b2fcf022e1918cb926292df01580332", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003187", "prompt": "Compute: 5 + (61 * 9 + (-99)) - (-6) / (-60)", "solution_steps": ["Multiply: 61 * 9 = 549", "Add: 549 + (-99) = 450", "Add: 5 + 450 = 455", "Divide: -6 / (-60) = 1/10", "Subtract: 455 - 1/10 = 4549/10"], "final_answer": "4549/10", "answer_type": "rational", "kind": "expression", "math_text": "5 + (61 * 9 + (-99)) - (-6) / (-60)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (+ (* n n) n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 61, \"c\": 9, \"d\": -99, \"e\": -6, \"f\": -60}", "seed": "7181963788748404182", "semantic_fingerprint": "sha256:b00f09f0a83149a39245788828fcce401919acf98424d19d100b0519d9b291af", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003188", "prompt": "Calculate: (41 + (-6)) / (29 * 54) - 10", "solution_steps": ["Add: 41 + (-6) = 35", "Multiply: 29 * 54 = 1566", "Divide: 35 / 1566 = 35/1566", "Subtract: 35/1566 - 10 = -15625/1566"], "final_answer": "-15625/1566", "answer_type": "rational", "kind": "expression", "math_text": "(41 + (-6)) / (29 * 54) - 10", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": -6, \"c\": 29, \"d\": 54, \"e\": 10}", "seed": "2478015860067606908", "semantic_fingerprint": "sha256:939251055b0e4f7e3f5618960dcb426c17d856129441a66c5e1dc28eac0ce8cf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003189", "prompt": "Compute: -1 * (68 / (-833)) + (34 * (-39) + 9)", "solution_steps": ["Divide: 68 / (-833) = -4/49", "Multiply: -1 * (-4/49) = 4/49", "Multiply: 34 * (-39) = -1326", "Add: -1326 + 9 = -1317", "Add: 4/49 + (-1317) = -64529/49"], "final_answer": "-64529/49", "answer_type": "rational", "kind": "expression", "math_text": "-1 * (68 / (-833)) + (34 * (-39) + 9)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (/ n n)) (+ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 68, \"c\": -833, \"d\": 34, \"e\": -39, \"f\": 9}", "seed": "8222302959716671314", "semantic_fingerprint": "sha256:1f15a34bcf60c5c38d2fad7aa4d1e7f97da713551e0b73f3fe11e63413466912", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003190", "prompt": "Compute: -635 / (-43 - 17 + 50)", "solution_steps": ["Subtract: -43 - 17 = -60", "Add: -60 + 50 = -10", "Divide: -635 / (-10) = 127/2"], "final_answer": "127/2", "answer_type": "rational", "kind": "expression", "math_text": "-635 / (-43 - 17 + 50)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -635, \"b\": -43, \"c\": 17, \"d\": 50}", "seed": "6366907621462661385", "semantic_fingerprint": "sha256:10a221291fb7514bddb8c09d87c5e72f92b5da34b8220764bc10a67160d8f644", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003191", "prompt": "Find x: 7(x - 9) + 737 = -5x + 590", "solution_steps": ["Expand: 7x - 63 + 737 = -5x + 590", "Combine constants: 7x + 674 = -5x + 590", "Add 5x to both sides: 12x + 674 = 590", "Subtract 674 from both sides: 12x = -84", "Divide both sides by 12: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 9) + 737 = -5x + 590", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 737, \"d\": -5, \"f\": 590, \"x\": -7}", "seed": "6867694327802864857", "semantic_fingerprint": "sha256:8b048133ea93f32c04d2638b6b89cb12bb456645499c21e5b4f3dab8e828724b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003192", "prompt": "What value of x satisfies 10(x - 7) + 6 = 7(x + 2) - 138?", "solution_steps": ["Expand: 10x - 70 + 6 = 7(x + 2) - 138", "Expand: 10x - 70 + 6 = 7x + 14 - 138", "Combine constants: 10x - 64 = 7x + 14 - 138", "Combine constants: 10x - 64 = 7x - 124", "Subtract 7x from both sides: 3x - 64 = -124", "Add 64 to both sides: 3x = -60", "Divide both sides by 3: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 7) + 6 = 7(x + 2) - 138", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7, \"c\": 6, \"d\": 7, \"e\": 2, \"g\": -138, \"x\": -20}", "seed": "13790140899458689141", "semantic_fingerprint": "sha256:e7da303412aa2cf8ad26fa71033be06caabf9cd2c11603be7967b61b4b31f0c3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003193", "prompt": "Solve the equation 9(x + 6) - 93 = x - 3 for x.", "solution_steps": ["Expand: 9x + 54 - 93 = x - 3", "Combine constants: 9x - 39 = x - 3", "Subtract x from both sides: 8x - 39 = -3", "Add 39 to both sides: 8x = 36", "Divide both sides by 8: x = 9/2"], "final_answer": "9/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 6) - 93 = x - 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": 93, \"d\": 3}", "seed": "4685728235355804961", "semantic_fingerprint": "sha256:c6dc4ffd207b0480417eb495467cba70b5fd9cc337dc01dce3671d94a8d7fc45", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003194", "prompt": "Calculate: (40 - 59 - (82 - 6)) / 17", "solution_steps": ["Subtract: 40 - 59 = -19", "Subtract: 82 - 6 = 76", "Subtract: -19 - 76 = -95", "Divide: -95 / 17 = -95/17"], "final_answer": "-95/17", "answer_type": "rational", "kind": "expression", "math_text": "(40 - 59 - (82 - 6)) / 17", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": 59, \"c\": 82, \"d\": 6, \"e\": 17}", "seed": "4006262861750126103", "semantic_fingerprint": "sha256:5ab8592a59373667a8dc2244e9e2313216c0d7c7f54faaf5fa55b637ac5e58d1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003195", "prompt": "What value of x satisfies 10(x + 27) + 2 = 9(x + 8) - 5?", "solution_steps": ["Expand: 10x + 270 + 2 = 9(x + 8) - 5", "Expand: 10x + 270 + 2 = 9x + 72 - 5", "Combine constants: 10x + 272 = 9x + 72 - 5", "Combine constants: 10x + 272 = 9x + 67", "Subtract 9x from both sides: x + 272 = 67", "Subtract 272 from both sides: x = -205"], "final_answer": "-205", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 27) + 2 = 9(x + 8) - 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 27, \"c\": 2, \"d\": 9, \"e\": 8, \"f\": 5}", "seed": "6178598486139971074", "semantic_fingerprint": "sha256:4678534f713d14b23cbfc55149f0189168ff035aae8b2f9764868b8448793930", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003196", "prompt": "What value of x satisfies -8(x + 58) - 69 = x - 470?", "solution_steps": ["Expand: -8x - 464 - 69 = x - 470", "Combine constants: -8x - 533 = x - 470", "Subtract x from both sides: -9x - 533 = -470", "Add 533 to both sides: -9x = 63", "Divide both sides by -9: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 58) - 69 = x - 470", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 58, \"c\": 69, \"e\": -470, \"x\": -7}", "seed": "6652869731632249896", "semantic_fingerprint": "sha256:808e175990851e7852ff8c9af8a3f9a0b1cf76ab52dd32b15789f2bedecbc506", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003197", "prompt": "Compute: -2 * 748 * (0 / (-5) - 399 + 162)", "solution_steps": ["Multiply: -2 * 748 = -1496", "Divide: 0 / (-5) = 0", "Subtract: 0 - 399 = -399", "Add: -399 + 162 = -237", "Multiply: -1496 * (-237) = 354552"], "final_answer": "354552", "answer_type": "integer", "kind": "expression", "math_text": "-2 * 748 * (0 / (-5) - 399 + 162)", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (+ (- (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 748, \"c\": 0, \"d\": -5, \"e\": 399, \"f\": 162}", "seed": "5270709029433262977", "semantic_fingerprint": "sha256:3142e70dba41b0bf3fab0c0b6e60eecb6f627ad326d897eab3d7872ce9795ad2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003198", "prompt": "Calculate: (6 + 768 + (-535)) * 36", "solution_steps": ["Add: 6 + 768 = 774", "Add: 774 + (-535) = 239", "Multiply: 239 * 36 = 8604"], "final_answer": "8604", "answer_type": "integer", "kind": "expression", "math_text": "(6 + 768 + (-535)) * 36", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 768, \"c\": -535, \"d\": 36}", "seed": "6249535515341147194", "semantic_fingerprint": "sha256:66154ed8a771e56b1235d45653e3379b54a71aecaf60b44af90b3c418c5cf218", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003199", "prompt": "What value of x satisfies 4(x + 5) - 8 = x - 1?", "solution_steps": ["Expand: 4x + 20 - 8 = x - 1", "Combine constants: 4x + 12 = x - 1", "Subtract x from both sides: 3x + 12 = -1", "Subtract 12 from both sides: 3x = -13", "Divide both sides by 3: x = -13/3"], "final_answer": "-13/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 5) - 8 = x - 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 8, \"d\": 1}", "seed": "836727185309821710", "semantic_fingerprint": "sha256:915a8030c255f553b52475002d950f1342a29719d0bcb6122d81ca0023258ca0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003200", "prompt": "Find x: 2(x + 9) + 4 = -3(x + 1) - 75", "solution_steps": ["Expand: 2x + 18 + 4 = -3(x + 1) - 75", "Expand: 2x + 18 + 4 = -3x - 3 - 75", "Combine constants: 2x + 22 = -3x - 3 - 75", "Combine constants: 2x + 22 = -3x - 78", "Add 3x to both sides: 5x + 22 = -78", "Subtract 22 from both sides: 5x = -100", "Divide both sides by 5: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 9) + 4 = -3(x + 1) - 75", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 4, \"d\": -3, \"e\": 1, \"g\": -75, \"x\": -20}", "seed": "756400910309830617", "semantic_fingerprint": "sha256:2b1f988d57ee83db5069c0f30fef07169dcd4744a519317eccb2b2b52d5b12f5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003201", "prompt": "What value of x satisfies 3(x - 2) - 7 = 9(x - 5) - 8?", "solution_steps": ["Expand: 3x - 6 - 7 = 9(x - 5) - 8", "Expand: 3x - 6 - 7 = 9x - 45 - 8", "Combine constants: 3x - 13 = 9x - 45 - 8", "Combine constants: 3x - 13 = 9x - 53", "Subtract 9x from both sides: -6x - 13 = -53", "Add 13 to both sides: -6x = -40", "Divide both sides by -6: x = 20/3"], "final_answer": "20/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 2) - 7 = 9(x - 5) - 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 7, \"d\": 9, \"e\": 5, \"f\": 8}", "seed": "16059202082732431495", "semantic_fingerprint": "sha256:427b9df6b1324494b074d47cb0c47d60918f4f642cb6735b79ad816a6acc87a0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003202", "prompt": "Evaluate: -420 + (43 + 238) - 9", "solution_steps": ["Add: 43 + 238 = 281", "Add: -420 + 281 = -139", "Subtract: -139 - 9 = -148"], "final_answer": "-148", "answer_type": "integer", "kind": "expression", "math_text": "-420 + (43 + 238) - 9", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -420, \"b\": 43, \"c\": 238, \"d\": 9}", "seed": "5824840189156169150", "semantic_fingerprint": "sha256:9760028f2f776b16e10b748c7e5f0281d38fbb3c9e3a0eff39c1306751b56cfe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003203", "prompt": "Compute: -85 / 260 - (-933) - (-931)", "solution_steps": ["Divide: -85 / 260 = -17/52", "Subtract: -17/52 - (-933) = 48499/52", "Subtract: 48499/52 - (-931) = 96911/52"], "final_answer": "96911/52", "answer_type": "rational", "kind": "expression", "math_text": "-85 / 260 - (-933) - (-931)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": 260, \"c\": -933, \"d\": -931}", "seed": "2157383735668817710", "semantic_fingerprint": "sha256:b4b9cdff92fa5b3848ef892f0d9b205f6c0032b2fd842c15c7a2b28a43a669ab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003204", "prompt": "Compute: (-639 - (-57) * 6) * (49 / (-15))", "solution_steps": ["Multiply: -57 * 6 = -342", "Subtract: -639 - (-342) = -297", "Divide: 49 / (-15) = -49/15", "Multiply: -297 * (-49/15) = 4851/5"], "final_answer": "4851/5", "answer_type": "rational", "kind": "expression", "math_text": "(-639 - (-57) * 6) * (49 / (-15))", "variable": null, "family": "expression_4op", "shape": "(* (- n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -639, \"b\": -57, \"c\": 6, \"d\": 49, \"e\": -15}", "seed": "8718421807605881212", "semantic_fingerprint": "sha256:989ce0878e2bc29f1f0145e0199aa20262fadd8953f2753de1237c7d7a9d16ce", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003205", "prompt": "What is -969 / (-596 + (-5 + 59 - 5)) + 12?", "solution_steps": ["Add: -5 + 59 = 54", "Subtract: 54 - 5 = 49", "Add: -596 + 49 = -547", "Divide: -969 / (-547) = 969/547", "Add: 969/547 + 12 = 7533/547"], "final_answer": "7533/547", "answer_type": "rational", "kind": "expression", "math_text": "-969 / (-596 + (-5 + 59 - 5)) + 12", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (+ n (- (+ n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -969, \"b\": -596, \"c\": -5, \"d\": 59, \"e\": 5, \"f\": 12}", "seed": "4576717781346890284", "semantic_fingerprint": "sha256:b34c3aea8e2aefa638d63f947ebb7bf48f10c280f1929d34bd013f96c8550129", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003206", "prompt": "What is (-417 - 5) / (-10 * (-978))?", "solution_steps": ["Subtract: -417 - 5 = -422", "Multiply: -10 * (-978) = 9780", "Divide: -422 / 9780 = -211/4890"], "final_answer": "-211/4890", "answer_type": "rational", "kind": "expression", "math_text": "(-417 - 5) / (-10 * (-978))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -417, \"b\": 5, \"c\": -10, \"d\": -978}", "seed": "17188097189417747065", "semantic_fingerprint": "sha256:065e00e4ef2b4a65c528503c917b38678ae89ac4b7b95cdce9d8c4521f05e2b0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003207", "prompt": "Calculate: 7 + 0 / 241 / (-91)", "solution_steps": ["Divide: 0 / 241 = 0", "Divide: 0 / (-91) = 0", "Add: 7 + 0 = 7"], "final_answer": "7", "answer_type": "integer", "kind": "expression", "math_text": "7 + 0 / 241 / (-91)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 0, \"c\": 241, \"d\": -91}", "seed": "15772838804330883390", "semantic_fingerprint": "sha256:1d0e671766363d47cbb1e74aecf887cb4f3656e923005e5d8147cf07e9ba2be0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003208", "prompt": "Solve for x: -9(x + 30) + 81 = -12(x + 6) - 141", "solution_steps": ["Expand: -9x - 270 + 81 = -12(x + 6) - 141", "Expand: -9x - 270 + 81 = -12x - 72 - 141", "Combine constants: -9x - 189 = -12x - 72 - 141", "Combine constants: -9x - 189 = -12x - 213", "Add 12x to both sides: 3x - 189 = -213", "Add 189 to both sides: 3x = -24", "Divide both sides by 3: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 30) + 81 = -12(x + 6) - 141", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 30, \"c\": 81, \"d\": -12, \"e\": 6, \"g\": -141, \"x\": -8}", "seed": "2831013409598828858", "semantic_fingerprint": "sha256:7338ca199d551d5c2cda7f11a29eed9fc78b2c28ae8605cbd7aa91fd258e41c7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003209", "prompt": "What value of x satisfies -10(x - 57) + 79 = 2x + 529?", "solution_steps": ["Expand: -10x + 570 + 79 = 2x + 529", "Combine constants: -10x + 649 = 2x + 529", "Subtract 2x from both sides: -12x + 649 = 529", "Subtract 649 from both sides: -12x = -120", "Divide both sides by -12: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 57) + 79 = 2x + 529", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 57, \"c\": 79, \"d\": 2, \"f\": 529, \"x\": 10}", "seed": "4543942859568340761", "semantic_fingerprint": "sha256:4ce5e002636828e0d57b4aaf545149b52b7a75d4db9edc7b9ac9fe1ec1e45354", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003210", "prompt": "Evaluate: 1 - (53 + (-7 - (-62)))", "solution_steps": ["Subtract: -7 - (-62) = 55", "Add: 53 + 55 = 108", "Subtract: 1 - 108 = -107"], "final_answer": "-107", "answer_type": "integer", "kind": "expression", "math_text": "1 - (53 + (-7 - (-62)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 53, \"c\": -7, \"d\": -62}", "seed": "7824853325280808747", "semantic_fingerprint": "sha256:d99de796e7d14ac7290d7412113b9bc4050b289a35dcc3349c11abf636332d2c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003211", "prompt": "Solve the equation 9(x - 4) + 335 = -11(x - 9) for x.", "solution_steps": ["Expand: 9x - 36 + 335 = -11(x - 9)", "Expand: 9x - 36 + 335 = -11x + 99", "Combine constants: 9x + 299 = -11x + 99", "Add 11x to both sides: 20x + 299 = 99", "Subtract 299 from both sides: 20x = -200", "Divide both sides by 20: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 4) + 335 = -11(x - 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": -11, \"d\": 9, \"f\": 335, \"x\": -10}", "seed": "13212965217607276869", "semantic_fingerprint": "sha256:33723312140815ef542b74c945bdafa6c62a5f1b062d94f109a5d10a8c0d7acb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003212", "prompt": "What value of x satisfies 8x - 2 = -5(x + 65) + 271?", "solution_steps": ["Expand: 8x - 2 = -5x - 325 + 271", "Combine constants: 8x - 2 = -5x - 54", "Add 5x to both sides: 13x - 2 = -54", "Add 2 to both sides: 13x = -52", "Divide both sides by 13: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 2 = -5(x + 65) + 271", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": -5, \"d\": 65, \"f\": 271, \"x\": -4}", "seed": "3696323707867129342", "semantic_fingerprint": "sha256:85a6901271290d59b9a3d242e176aca0e62d2632686cd7a63d8f15998c60cd0f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003213", "prompt": "What value of x satisfies 2(x + 99) + 7 = -6(x + 129) - 2?", "solution_steps": ["Expand: 2x + 198 + 7 = -6(x + 129) - 2", "Expand: 2x + 198 + 7 = -6x - 774 - 2", "Combine constants: 2x + 205 = -6x - 774 - 2", "Combine constants: 2x + 205 = -6x - 776", "Add 6x to both sides: 8x + 205 = -776", "Subtract 205 from both sides: 8x = -981", "Divide both sides by 8: x = -981/8"], "final_answer": "-981/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 99) + 7 = -6(x + 129) - 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 99, \"c\": 7, \"d\": -6, \"e\": 129, \"f\": 2}", "seed": "18406961859290935079", "semantic_fingerprint": "sha256:0dcc271758f80a463aa166f7b522d138ef57980a8f2dc53040342fc93147023c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003214", "prompt": "Compute: 84 * (-78 + 19 + (-4)) / (4 / (-385))", "solution_steps": ["Add: -78 + 19 = -59", "Add: -59 + (-4) = -63", "Multiply: 84 * (-63) = -5292", "Divide: 4 / (-385) = -4/385", "Divide: -5292 / (-4/385) = 509355"], "final_answer": "509355", "answer_type": "integer", "kind": "expression", "math_text": "84 * (-78 + 19 + (-4)) / (4 / (-385))", "variable": null, "family": "expression_5op", "shape": "(/ (* n (+ (+ n n) n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": -78, \"c\": 19, \"d\": -4, \"e\": 4, \"f\": -385}", "seed": "3926803319077746167", "semantic_fingerprint": "sha256:a17145a9e768a510b556df78d5aab109a7b2eca2d39c421a2a09431230da57ea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003215", "prompt": "Solve the equation 10(x - 3) + 234 = -11(x - 9) for x.", "solution_steps": ["Expand: 10x - 30 + 234 = -11(x - 9)", "Expand: 10x - 30 + 234 = -11x + 99", "Combine constants: 10x + 204 = -11x + 99", "Add 11x to both sides: 21x + 204 = 99", "Subtract 204 from both sides: 21x = -105", "Divide both sides by 21: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 3) + 234 = -11(x - 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"c\": -11, \"d\": 9, \"f\": 234, \"x\": -5}", "seed": "6765684263266886865", "semantic_fingerprint": "sha256:e948faa616550b783125789d9ec743e48c7ae29fe38981ba5a5250c293abc9b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003216", "prompt": "What value of x satisfies x - 2 = 3(x - 264) + 812?", "solution_steps": ["Expand: x - 2 = 3x - 792 + 812", "Combine constants: x - 2 = 3x + 20", "Subtract 3x from both sides: -2x - 2 = 20", "Add 2 to both sides: -2x = 22", "Divide both sides by -2: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2 = 3(x - 264) + 812", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 264, \"e\": 812, \"x\": -11}", "seed": "18309939473647965370", "semantic_fingerprint": "sha256:04463c67dbe99161d83acc788cf2230c998bc7de53f4b5ec804b22dd1fdfa7fd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003217", "prompt": "Compute: -312 + (-35 / 943 + (-9) * (-9) - 5)", "solution_steps": ["Divide: -35 / 943 = -35/943", "Multiply: -9 * (-9) = 81", "Add: -35/943 + 81 = 76348/943", "Subtract: 76348/943 - 5 = 71633/943", "Add: -312 + 71633/943 = -222583/943"], "final_answer": "-222583/943", "answer_type": "rational", "kind": "expression", "math_text": "-312 + (-35 / 943 + (-9) * (-9) - 5)", "variable": null, "family": "expression_5op", "shape": "(+ n (- (+ (/ n n) (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -312, \"b\": -35, \"c\": 943, \"d\": -9, \"e\": -9, \"f\": 5}", "seed": "17402305457882068013", "semantic_fingerprint": "sha256:f98a37be21f594b2454b33b0c485120ef06b1694f24c0a4909e068920dd52335", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003218", "prompt": "What is -55 / (-73) - 0 * (-682 - 0)?", "solution_steps": ["Divide: -55 / (-73) = 55/73", "Subtract: -682 - 0 = -682", "Multiply: 0 * (-682) = 0", "Subtract: 55/73 - 0 = 55/73"], "final_answer": "55/73", "answer_type": "rational", "kind": "expression", "math_text": "-55 / (-73) - 0 * (-682 - 0)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": -73, \"c\": 0, \"d\": -682, \"e\": 0}", "seed": "6715188175384313348", "semantic_fingerprint": "sha256:7b66d678202e796bbea1bbdf22137cff9974e476cf4a4d398290f38074321dcf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003219", "prompt": "What is 136 * 6 + 41 - 0 / 64?", "solution_steps": ["Multiply: 136 * 6 = 816", "Add: 816 + 41 = 857", "Divide: 0 / 64 = 0", "Subtract: 857 - 0 = 857"], "final_answer": "857", "answer_type": "integer", "kind": "expression", "math_text": "136 * 6 + 41 - 0 / 64", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 136, \"b\": 6, \"c\": 41, \"d\": 0, \"e\": 64}", "seed": "8776344850893517767", "semantic_fingerprint": "sha256:8e1fc47e4eabe4967c4b6ebd12b2387343743392695c603619205128d42c39d0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003220", "prompt": "Calculate: 904 + 8 - (-2 + 93)", "solution_steps": ["Add: 904 + 8 = 912", "Add: -2 + 93 = 91", "Subtract: 912 - 91 = 821"], "final_answer": "821", "answer_type": "integer", "kind": "expression", "math_text": "904 + 8 - (-2 + 93)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 904, \"b\": 8, \"c\": -2, \"d\": 93}", "seed": "8856365253618768073", "semantic_fingerprint": "sha256:529373bd519efb2889c0c5efe2b1974567334013c5f10626c0ac79910ffab62c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003221", "prompt": "Evaluate: -899 + (-327) * 76 / (-11) - (-9) * (-3)", "solution_steps": ["Multiply: -327 * 76 = -24852", "Divide: -24852 / (-11) = 24852/11", "Add: -899 + 24852/11 = 14963/11", "Multiply: -9 * (-3) = 27", "Subtract: 14963/11 - 27 = 14666/11"], "final_answer": "14666/11", "answer_type": "rational", "kind": "expression", "math_text": "-899 + (-327) * 76 / (-11) - (-9) * (-3)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (/ (* n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -899, \"b\": -327, \"c\": 76, \"d\": -11, \"e\": -9, \"f\": -3}", "seed": "11965646520484974969", "semantic_fingerprint": "sha256:62350b8a0f03b2466736c0c67f767173950f17221796ee5a16b5663171348150", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003222", "prompt": "Solve the equation 9(x - 43) + 3 = -2(x + 64) - 289 for x.", "solution_steps": ["Expand: 9x - 387 + 3 = -2(x + 64) - 289", "Expand: 9x - 387 + 3 = -2x - 128 - 289", "Combine constants: 9x - 384 = -2x - 128 - 289", "Combine constants: 9x - 384 = -2x - 417", "Add 2x to both sides: 11x - 384 = -417", "Add 384 to both sides: 11x = -33", "Divide both sides by 11: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 43) + 3 = -2(x + 64) - 289", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 43, \"c\": 3, \"d\": -2, \"e\": 64, \"g\": -289, \"x\": -3}", "seed": "7584877553543312197", "semantic_fingerprint": "sha256:910c31aef1bd201d923023d74666645dc2f25156e792d8f128bda034ce4185a1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003223", "prompt": "Calculate: (-854 - (-56)) * (7 / (-1))", "solution_steps": ["Subtract: -854 - (-56) = -798", "Divide: 7 / (-1) = -7", "Multiply: -798 * (-7) = 5586"], "final_answer": "5586", "answer_type": "integer", "kind": "expression", "math_text": "(-854 - (-56)) * (7 / (-1))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -854, \"b\": -56, \"c\": 7, \"d\": -1}", "seed": "4712718066080884193", "semantic_fingerprint": "sha256:f5b4115c25b4bb7f654da76c73f275fd8fcfef4e96706e40ea078c7131b3f215", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003224", "prompt": "Compute: (856 - (-431)) / (-4 * 951)", "solution_steps": ["Subtract: 856 - (-431) = 1287", "Multiply: -4 * 951 = -3804", "Divide: 1287 / (-3804) = -429/1268"], "final_answer": "-429/1268", "answer_type": "rational", "kind": "expression", "math_text": "(856 - (-431)) / (-4 * 951)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 856, \"b\": -431, \"c\": -4, \"d\": 951}", "seed": "5316662120403957819", "semantic_fingerprint": "sha256:472afb9bb3e1faf4b5efe3165a3597e3f169691108dc926d22cf54d085d03a52", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003225", "prompt": "Compute: (0 * 1 - (-23) / (-14)) * (-520)", "solution_steps": ["Multiply: 0 * 1 = 0", "Divide: -23 / (-14) = 23/14", "Subtract: 0 - 23/14 = -23/14", "Multiply: (-23/14) * (-520) = 5980/7"], "final_answer": "5980/7", "answer_type": "rational", "kind": "expression", "math_text": "(0 * 1 - (-23) / (-14)) * (-520)", "variable": null, "family": "expression_4op", "shape": "(* (- (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 1, \"c\": -23, \"d\": -14, \"e\": -520}", "seed": "17399877615874673186", "semantic_fingerprint": "sha256:fa6a10718326604108160e59b5a3cb2c32280a029d5d985f2722011037c25569", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003226", "prompt": "Find x: 11(x - 16) - 99 = 6(x - 2) - 313", "solution_steps": ["Expand: 11x - 176 - 99 = 6(x - 2) - 313", "Expand: 11x - 176 - 99 = 6x - 12 - 313", "Combine constants: 11x - 275 = 6x - 12 - 313", "Combine constants: 11x - 275 = 6x - 325", "Subtract 6x from both sides: 5x - 275 = -325", "Add 275 to both sides: 5x = -50", "Divide both sides by 5: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 16) - 99 = 6(x - 2) - 313", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 16, \"c\": 99, \"d\": 6, \"e\": 2, \"g\": -313, \"x\": -10}", "seed": "6171162383045310984", "semantic_fingerprint": "sha256:198b042d4f3b1357fa5add0e2e9e3ad9baca72dfc74b79f8a2deceef63f573ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003227", "prompt": "Find x: 4(x - 6) - 20 = 8(x - 205)", "solution_steps": ["Expand: 4x - 24 - 20 = 8(x - 205)", "Expand: 4x - 24 - 20 = 8x - 1640", "Combine constants: 4x - 44 = 8x - 1640", "Subtract 8x from both sides: -4x - 44 = -1640", "Add 44 to both sides: -4x = -1596", "Divide both sides by -4: x = 399"], "final_answer": "399", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 6) - 20 = 8(x - 205)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 20, \"d\": 8, \"e\": 205}", "seed": "6314123070120259775", "semantic_fingerprint": "sha256:a2c8a76fcce39786edfd5bf280b7b5d108c56ed97cfc7611a08582c2fefe6212", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003228", "prompt": "Solve for x: 7(x - 2) - 63 = 11(x - 11)", "solution_steps": ["Expand: 7x - 14 - 63 = 11(x - 11)", "Expand: 7x - 14 - 63 = 11x - 121", "Combine constants: 7x - 77 = 11x - 121", "Subtract 11x from both sides: -4x - 77 = -121", "Add 77 to both sides: -4x = -44", "Divide both sides by -4: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 2) - 63 = 11(x - 11)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": 11, \"d\": 11, \"f\": -63, \"x\": 11}", "seed": "16325038525559548382", "semantic_fingerprint": "sha256:e8490c3ff01f8b2707453251a0e03c0eaa6ebd27bc9f68a03eb99359dd984045", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003229", "prompt": "Find x: 5(x - 53) - 881 = 2(x - 567)", "solution_steps": ["Expand: 5x - 265 - 881 = 2(x - 567)", "Expand: 5x - 265 - 881 = 2x - 1134", "Combine constants: 5x - 1146 = 2x - 1134", "Subtract 2x from both sides: 3x - 1146 = -1134", "Add 1146 to both sides: 3x = 12", "Divide both sides by 3: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 53) - 881 = 2(x - 567)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 53, \"c\": 2, \"d\": 567, \"f\": -881, \"x\": 4}", "seed": "2809229278695002983", "semantic_fingerprint": "sha256:0bff6cfdbc8b5711c9bb08485aa45144d13e21f3674e060c89653b1dd000343c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003230", "prompt": "Evaluate: 81 + (61 - (-952) - (-89)) / (-62)", "solution_steps": ["Subtract: 61 - (-952) = 1013", "Subtract: 1013 - (-89) = 1102", "Divide: 1102 / (-62) = -551/31", "Add: 81 + (-551/31) = 1960/31"], "final_answer": "1960/31", "answer_type": "rational", "kind": "expression", "math_text": "81 + (61 - (-952) - (-89)) / (-62)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (- (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 61, \"c\": -952, \"d\": -89, \"e\": -62}", "seed": "2405467144919077802", "semantic_fingerprint": "sha256:e332eb3929f5b8d74fc6377eb0540cf99c0dfbb3e921d92e38bc83a42a111c8d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003231", "prompt": "Solve the equation 4(x - 38) + 5 = 12(x - 2) for x.", "solution_steps": ["Expand: 4x - 152 + 5 = 12(x - 2)", "Expand: 4x - 152 + 5 = 12x - 24", "Combine constants: 4x - 147 = 12x - 24", "Subtract 12x from both sides: -8x - 147 = -24", "Add 147 to both sides: -8x = 123", "Divide both sides by -8: x = -123/8"], "final_answer": "-123/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 38) + 5 = 12(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 38, \"c\": 5, \"d\": 12, \"e\": 2}", "seed": "1060311217529277095", "semantic_fingerprint": "sha256:16ede69810c1f028b97ec88221bf18f01ceaa466d1834598891b397ad4cbb4f6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003232", "prompt": "Find x: -7(x - 9) + 11 = 12x + 359", "solution_steps": ["Expand: -7x + 63 + 11 = 12x + 359", "Combine constants: -7x + 74 = 12x + 359", "Subtract 12x from both sides: -19x + 74 = 359", "Subtract 74 from both sides: -19x = 285", "Divide both sides by -19: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 9) + 11 = 12x + 359", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 9, \"c\": 11, \"d\": 12, \"f\": 359, \"x\": -15}", "seed": "15552777567519284801", "semantic_fingerprint": "sha256:d2072bb972edf72e03e562730563f6f508e8f2fad50d08871948ec1dfbf3f760", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003233", "prompt": "Find x: -4(x - 211) - 975 = 9(x - 3)", "solution_steps": ["Expand: -4x + 844 - 975 = 9(x - 3)", "Expand: -4x + 844 - 975 = 9x - 27", "Combine constants: -4x - 131 = 9x - 27", "Subtract 9x from both sides: -13x - 131 = -27", "Add 131 to both sides: -13x = 104", "Divide both sides by -13: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 211) - 975 = 9(x - 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 211, \"c\": 9, \"d\": 3, \"f\": -975, \"x\": -8}", "seed": "5332109848324361330", "semantic_fingerprint": "sha256:b58f6021850ae3888799d80ec162b09aa8db2f406bf39b00e19065f6c3311b2d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003234", "prompt": "Solve the equation 6(x + 2) + 94 = 9(x + 29) - 155 for x.", "solution_steps": ["Expand: 6x + 12 + 94 = 9(x + 29) - 155", "Expand: 6x + 12 + 94 = 9x + 261 - 155", "Combine constants: 6x + 106 = 9x + 261 - 155", "Combine constants: 6x + 106 = 9x + 106", "Subtract 9x from both sides: -3x + 106 = 106", "Subtract 106 from both sides: -3x = 0", "Divide both sides by -3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 2) + 94 = 9(x + 29) - 155", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 94, \"d\": 9, \"e\": 29, \"g\": -155, \"x\": 0}", "seed": "17059017844906665912", "semantic_fingerprint": "sha256:56764d9237cc15820b04583f58a0cbb0436d103b6daa0f4fd337e30f722d2b3b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003235", "prompt": "Calculate: 23 * (-14) + (-68) - 14 / (-4)", "solution_steps": ["Multiply: 23 * (-14) = -322", "Add: -322 + (-68) = -390", "Divide: 14 / (-4) = -7/2", "Subtract: -390 - (-7/2) = -773/2"], "final_answer": "-773/2", "answer_type": "rational", "kind": "expression", "math_text": "23 * (-14) + (-68) - 14 / (-4)", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -14, \"c\": -68, \"d\": 14, \"e\": -4}", "seed": "10262991804670136964", "semantic_fingerprint": "sha256:162fe0ed46086adc0d06c0d2f7f4f8139546c28088f5599d0d84047373f9fcef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003236", "prompt": "Evaluate: 0 * 15 + (-670 + 4 / 8)", "solution_steps": ["Multiply: 0 * 15 = 0", "Divide: 4 / 8 = 1/2", "Add: -670 + 1/2 = -1339/2", "Add: 0 + (-1339/2) = -1339/2"], "final_answer": "-1339/2", "answer_type": "rational", "kind": "expression", "math_text": "0 * 15 + (-670 + 4 / 8)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 15, \"c\": -670, \"d\": 4, \"e\": 8}", "seed": "5581809441922640995", "semantic_fingerprint": "sha256:9ab1d786dc67274fb01e654d5bab32d59052d9f0cf428b5ec3f37b2cd001be39", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003237", "prompt": "What value of x satisfies 6(x - 6) - 41 = -7(x - 30) - 157?", "solution_steps": ["Expand: 6x - 36 - 41 = -7(x - 30) - 157", "Expand: 6x - 36 - 41 = -7x + 210 - 157", "Combine constants: 6x - 77 = -7x + 210 - 157", "Combine constants: 6x - 77 = -7x + 53", "Add 7x to both sides: 13x - 77 = 53", "Add 77 to both sides: 13x = 130", "Divide both sides by 13: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 6) - 41 = -7(x - 30) - 157", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 41, \"d\": -7, \"e\": 30, \"g\": -157, \"x\": 10}", "seed": "3756808410757438308", "semantic_fingerprint": "sha256:f44b59a86cd4018b968a823b1b5a91a326289e48fcbba75c01f171039fb344ac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003238", "prompt": "Compute: -67 - (868 * (-22 - 3) - (-42))", "solution_steps": ["Subtract: -22 - 3 = -25", "Multiply: 868 * (-25) = -21700", "Subtract: -21700 - (-42) = -21658", "Subtract: -67 - (-21658) = 21591"], "final_answer": "21591", "answer_type": "integer", "kind": "expression", "math_text": "-67 - (868 * (-22 - 3) - (-42))", "variable": null, "family": "expression_4op", "shape": "(- n (- (* n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": 868, \"c\": -22, \"d\": 3, \"e\": -42}", "seed": "3635270481631431350", "semantic_fingerprint": "sha256:8379d98fbc855bc4d21f5b5f0d956e4ffebe735b23d98c68b3a0aea13c5a1305", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003239", "prompt": "Calculate: 93 / 3 + (-5) / 70", "solution_steps": ["Divide: 93 / 3 = 31", "Divide: -5 / 70 = -1/14", "Add: 31 + (-1/14) = 433/14"], "final_answer": "433/14", "answer_type": "rational", "kind": "expression", "math_text": "93 / 3 + (-5) / 70", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 3, \"c\": -5, \"d\": 70}", "seed": "10134352716865953636", "semantic_fingerprint": "sha256:723a091a375917c689f199c5d476e0e607ae413ee113e7b4ce28ce139a4366d2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003240", "prompt": "What value of x satisfies 2(x + 9) - 434 = x - 421?", "solution_steps": ["Expand: 2x + 18 - 434 = x - 421", "Combine constants: 2x - 416 = x - 421", "Subtract x from both sides: x - 416 = -421", "Add 416 to both sides: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 9) - 434 = x - 421", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 434, \"e\": -421, \"x\": -5}", "seed": "6282336904197204131", "semantic_fingerprint": "sha256:706013098631e2236e5958fa05bc31215955611781d858643fc4a645a9e48882", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003241", "prompt": "Calculate: -915 / (322 - (-3) + 40)", "solution_steps": ["Subtract: 322 - (-3) = 325", "Add: 325 + 40 = 365", "Divide: -915 / 365 = -183/73"], "final_answer": "-183/73", "answer_type": "rational", "kind": "expression", "math_text": "-915 / (322 - (-3) + 40)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -915, \"b\": 322, \"c\": -3, \"d\": 40}", "seed": "11471073772228333208", "semantic_fingerprint": "sha256:bbde7f0219a773bccb60469822d2914284d607527232c4ece40f86e41da87f65", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003242", "prompt": "Compute: -230 + 8 - (-48 + (-1))", "solution_steps": ["Add: -230 + 8 = -222", "Add: -48 + (-1) = -49", "Subtract: -222 - (-49) = -173"], "final_answer": "-173", "answer_type": "integer", "kind": "expression", "math_text": "-230 + 8 - (-48 + (-1))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -230, \"b\": 8, \"c\": -48, \"d\": -1}", "seed": "7723949764519256553", "semantic_fingerprint": "sha256:d94486f24be59bcfce95585f25da3479ff2aa9f9049c23f93bffb3cadfad8240", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003243", "prompt": "What is -45 / (6 / ((-9 - (-493 - (-80))) / (-639)))?", "solution_steps": ["Subtract: -493 - (-80) = -413", "Subtract: -9 - (-413) = 404", "Divide: 404 / (-639) = -404/639", "Divide: 6 / (-404/639) = -1917/202", "Divide: -45 / (-1917/202) = 1010/213"], "final_answer": "1010/213", "answer_type": "rational", "kind": "expression", "math_text": "-45 / (6 / ((-9 - (-493 - (-80))) / (-639)))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ n (/ (- n (- n n)) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": 6, \"c\": -9, \"d\": -493, \"e\": -80, \"f\": -639}", "seed": "12626322463453849311", "semantic_fingerprint": "sha256:0c05ce6315d06d4e0011f3add00ef7c3efba9134a293576c51d8944d78b58a52", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003244", "prompt": "Evaluate: -9 / (-864) * (-218) / 67 - (1 - (-80))", "solution_steps": ["Divide: -9 / (-864) = 1/96", "Multiply: (1/96) * (-218) = -109/48", "Divide: (-109/48) / 67 = -109/3216", "Subtract: 1 - (-80) = 81", "Subtract: -109/3216 - 81 = -260605/3216"], "final_answer": "-260605/3216", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-864) * (-218) / 67 - (1 - (-80))", "variable": null, "family": "expression_5op", "shape": "(- (/ (* (/ n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -864, \"c\": -218, \"d\": 67, \"e\": 1, \"f\": -80}", "seed": "11447177428098062814", "semantic_fingerprint": "sha256:77c39a22022bb2e7cdbb05f2ed96b6cc9bf7e63a0ece636c64e2e64ef061c162", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003245", "prompt": "Evaluate: (-275 + (-852) + 809) * 8", "solution_steps": ["Add: -275 + (-852) = -1127", "Add: -1127 + 809 = -318", "Multiply: -318 * 8 = -2544"], "final_answer": "-2544", "answer_type": "integer", "kind": "expression", "math_text": "(-275 + (-852) + 809) * 8", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -275, \"b\": -852, \"c\": 809, \"d\": 8}", "seed": "4799647125005882358", "semantic_fingerprint": "sha256:6675b5a210c670ae892a064615c7114398c6d3b72764762472c182c5520e25bf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003246", "prompt": "Calculate: -8 + (-5) - (-9 + (-74))", "solution_steps": ["Add: -8 + (-5) = -13", "Add: -9 + (-74) = -83", "Subtract: -13 - (-83) = 70"], "final_answer": "70", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (-5) - (-9 + (-74))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -5, \"c\": -9, \"d\": -74}", "seed": "2986495122218954374", "semantic_fingerprint": "sha256:52da340f5893a22d5c3ee4a9d7ebd53f8f38e3e0652e0933a96d65974f0054fd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003247", "prompt": "Evaluate: (409 * 0 - (-34) - 6) / (308 * 8)", "solution_steps": ["Multiply: 409 * 0 = 0", "Subtract: 0 - (-34) = 34", "Subtract: 34 - 6 = 28", "Multiply: 308 * 8 = 2464", "Divide: 28 / 2464 = 1/88"], "final_answer": "1/88", "answer_type": "rational", "kind": "expression", "math_text": "(409 * 0 - (-34) - 6) / (308 * 8)", "variable": null, "family": "expression_5op", "shape": "(/ (- (- (* n n) n) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 409, \"b\": 0, \"c\": -34, \"d\": 6, \"e\": 308, \"f\": 8}", "seed": "13356334686302704297", "semantic_fingerprint": "sha256:a1e41b1fefa6512d6f1cc92bfaa98755b4a0efd32c77ef921c8d06a59bee083e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003248", "prompt": "Calculate: -324 - (-76 * (-8) + (-83))", "solution_steps": ["Multiply: -76 * (-8) = 608", "Add: 608 + (-83) = 525", "Subtract: -324 - 525 = -849"], "final_answer": "-849", "answer_type": "integer", "kind": "expression", "math_text": "-324 - (-76 * (-8) + (-83))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -324, \"b\": -76, \"c\": -8, \"d\": -83}", "seed": "10539435013242204495", "semantic_fingerprint": "sha256:9c48bf491c649b57f2787ff406d6293d71c47e28762df772516a7c9bfb224b40", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003249", "prompt": "Evaluate: (9 / 10 - (-5)) * (-903 * 22)", "solution_steps": ["Divide: 9 / 10 = 9/10", "Subtract: 9/10 - (-5) = 59/10", "Multiply: -903 * 22 = -19866", "Multiply: (59/10) * (-19866) = -586047/5"], "final_answer": "-586047/5", "answer_type": "rational", "kind": "expression", "math_text": "(9 / 10 - (-5)) * (-903 * 22)", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 10, \"c\": -5, \"d\": -903, \"e\": 22}", "seed": "16112715953909526893", "semantic_fingerprint": "sha256:725fa7e62946477fdc87c13949cbb17b5290f006e3544aff4cdd2ec52af5d49c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003250", "prompt": "Compute: 33 / (-52 * (-84) / (-59))", "solution_steps": ["Multiply: -52 * (-84) = 4368", "Divide: 4368 / (-59) = -4368/59", "Divide: 33 / (-4368/59) = -649/1456"], "final_answer": "-649/1456", "answer_type": "rational", "kind": "expression", "math_text": "33 / (-52 * (-84) / (-59))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": -52, \"c\": -84, \"d\": -59}", "seed": "318628173118029267", "semantic_fingerprint": "sha256:f982998872f57ffa328b48e2a2a57febe2a664fd2c69ff973e7be7fe106e8a0e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003251", "prompt": "What is 19 - (-6 + 82) * (-8) * 4?", "solution_steps": ["Add: -6 + 82 = 76", "Multiply: 76 * (-8) = -608", "Multiply: -608 * 4 = -2432", "Subtract: 19 - (-2432) = 2451"], "final_answer": "2451", "answer_type": "integer", "kind": "expression", "math_text": "19 - (-6 + 82) * (-8) * 4", "variable": null, "family": "expression_4op", "shape": "(- n (* (* (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": -6, \"c\": 82, \"d\": -8, \"e\": 4}", "seed": "874350070073272317", "semantic_fingerprint": "sha256:e62c782e67897593d4655f0cf964707d9835b0941194b3f6a0016ec75a7ddeb5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003252", "prompt": "What is 50 - (-397 + 35) + (-4)?", "solution_steps": ["Add: -397 + 35 = -362", "Subtract: 50 - (-362) = 412", "Add: 412 + (-4) = 408"], "final_answer": "408", "answer_type": "integer", "kind": "expression", "math_text": "50 - (-397 + 35) + (-4)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -397, \"c\": 35, \"d\": -4}", "seed": "12114107963889913057", "semantic_fingerprint": "sha256:1ec194af8dd0ec39c75ceab012c55d353dc62f87f0262c4185e345c71f067c8f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003253", "prompt": "Evaluate: (93 - (-3)) * (-6) * (-98)", "solution_steps": ["Subtract: 93 - (-3) = 96", "Multiply: 96 * (-6) = -576", "Multiply: -576 * (-98) = 56448"], "final_answer": "56448", "answer_type": "integer", "kind": "expression", "math_text": "(93 - (-3)) * (-6) * (-98)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": -3, \"c\": -6, \"d\": -98}", "seed": "5235539514344304618", "semantic_fingerprint": "sha256:c08200953364c7028ba69b8932f0395734cb52c2feb6d3670491a0c1d76ad366", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003254", "prompt": "What is -68 / (1 * (-8) * (-558)) * 11 - 0?", "solution_steps": ["Multiply: 1 * (-8) = -8", "Multiply: -8 * (-558) = 4464", "Divide: -68 / 4464 = -17/1116", "Multiply: (-17/1116) * 11 = -187/1116", "Subtract: -187/1116 - 0 = -187/1116"], "final_answer": "-187/1116", "answer_type": "rational", "kind": "expression", "math_text": "-68 / (1 * (-8) * (-558)) * 11 - 0", "variable": null, "family": "expression_5op", "shape": "(- (* (/ n (* (* n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": 1, \"c\": -8, \"d\": -558, \"e\": 11, \"f\": 0}", "seed": "7920277955871451254", "semantic_fingerprint": "sha256:f991ae4c75e2ac7ca8221ab54782d237c3a8eb7f4bcf3ddd3e0aa76f251186de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003255", "prompt": "Solve the equation 5(x - 80) - 48 = 3(x - 6) - 460 for x.", "solution_steps": ["Expand: 5x - 400 - 48 = 3(x - 6) - 460", "Expand: 5x - 400 - 48 = 3x - 18 - 460", "Combine constants: 5x - 448 = 3x - 18 - 460", "Combine constants: 5x - 448 = 3x - 478", "Subtract 3x from both sides: 2x - 448 = -478", "Add 448 to both sides: 2x = -30", "Divide both sides by 2: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 80) - 48 = 3(x - 6) - 460", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 80, \"c\": 48, \"d\": 3, \"e\": 6, \"g\": -460, \"x\": -15}", "seed": "4372530768563976712", "semantic_fingerprint": "sha256:8089b1a31a7e75cfd8d7250f4d16764a5ac7750ffe454e36334f40251d57d7d7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003256", "prompt": "Solve the equation 2(x - 43) + 570 = -9x + 275 for x.", "solution_steps": ["Expand: 2x - 86 + 570 = -9x + 275", "Combine constants: 2x + 484 = -9x + 275", "Add 9x to both sides: 11x + 484 = 275", "Subtract 484 from both sides: 11x = -209", "Divide both sides by 11: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 43) + 570 = -9x + 275", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 43, \"c\": 570, \"d\": -9, \"f\": 275, \"x\": -19}", "seed": "15652611031072396920", "semantic_fingerprint": "sha256:05275860129ef77d115b240fd50483f548520e1bbf81d29d815109840433bf9c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003257", "prompt": "Calculate: 0 * (-68) + (9 + (-8) + (-8)) * (-149)", "solution_steps": ["Multiply: 0 * (-68) = 0", "Add: 9 + (-8) = 1", "Add: 1 + (-8) = -7", "Multiply: -7 * (-149) = 1043", "Add: 0 + 1043 = 1043"], "final_answer": "1043", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-68) + (9 + (-8) + (-8)) * (-149)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (* (+ (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -68, \"c\": 9, \"d\": -8, \"e\": -8, \"f\": -149}", "seed": "13478567950570097201", "semantic_fingerprint": "sha256:feb8f92b41d2460e7d8ef3add9088095ec3af70139af3de5ca7e1d37b405bbb1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003258", "prompt": "Solve the equation 11(x + 59) - 9 = x - 42 for x.", "solution_steps": ["Expand: 11x + 649 - 9 = x - 42", "Combine constants: 11x + 640 = x - 42", "Subtract x from both sides: 10x + 640 = -42", "Subtract 640 from both sides: 10x = -682", "Divide both sides by 10: x = -341/5"], "final_answer": "-341/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 59) - 9 = x - 42", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 59, \"c\": 9, \"d\": 42}", "seed": "5003371628327329107", "semantic_fingerprint": "sha256:bf3405cb4c2a9626b01d0298c454fe31c49a70d5ac9eb510f4b37b92d0bfb83f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003259", "prompt": "Evaluate: 965 * (26 - 3 * (5 / (-6)))", "solution_steps": ["Divide: 5 / (-6) = -5/6", "Multiply: 3 * (-5/6) = -5/2", "Subtract: 26 - (-5/2) = 57/2", "Multiply: 965 * (57/2) = 55005/2"], "final_answer": "55005/2", "answer_type": "rational", "kind": "expression", "math_text": "965 * (26 - 3 * (5 / (-6)))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (* n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 965, \"b\": 26, \"c\": 3, \"d\": 5, \"e\": -6}", "seed": "5031801603757388927", "semantic_fingerprint": "sha256:f0e9bf18010e8858f5c3f0bbcd2f519f155458a65fd178eaa2ef2df6bd3f1817", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003260", "prompt": "Solve the equation -12(x - 4) + 116 = 2(x - 30) for x.", "solution_steps": ["Expand: -12x + 48 + 116 = 2(x - 30)", "Expand: -12x + 48 + 116 = 2x - 60", "Combine constants: -12x + 164 = 2x - 60", "Subtract 2x from both sides: -14x + 164 = -60", "Subtract 164 from both sides: -14x = -224", "Divide both sides by -14: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 4) + 116 = 2(x - 30)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 4, \"c\": 2, \"d\": 30, \"f\": 116, \"x\": 16}", "seed": "474592868233424279", "semantic_fingerprint": "sha256:2875aaca8b9d868737ee54ec9e9ebfcfa1fb7b91729e280504404a2d4acf66b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003261", "prompt": "Calculate: (-25 - (-58)) * 63 - (-33) - 47", "solution_steps": ["Subtract: -25 - (-58) = 33", "Multiply: 33 * 63 = 2079", "Subtract: 2079 - (-33) = 2112", "Subtract: 2112 - 47 = 2065"], "final_answer": "2065", "answer_type": "integer", "kind": "expression", "math_text": "(-25 - (-58)) * 63 - (-33) - 47", "variable": null, "family": "expression_4op", "shape": "(- (- (* (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -58, \"c\": 63, \"d\": -33, \"e\": 47}", "seed": "12652638491957572310", "semantic_fingerprint": "sha256:0517cc00ee48ec7be7b3a78b70f45ed7d3787b2f0d3ecf08bbd8cef3c10394d3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003262", "prompt": "What is 578 / (52 * 27 / 7)?", "solution_steps": ["Multiply: 52 * 27 = 1404", "Divide: 1404 / 7 = 1404/7", "Divide: 578 / (1404/7) = 2023/702"], "final_answer": "2023/702", "answer_type": "rational", "kind": "expression", "math_text": "578 / (52 * 27 / 7)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 578, \"b\": 52, \"c\": 27, \"d\": 7}", "seed": "3118614902991573724", "semantic_fingerprint": "sha256:5c75a6e5fd2e2c841204a570602d2c5a582dcb4e5f4e228d82bcc7a83a36e5df", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003263", "prompt": "What is (-92 * 2 + 58) * 0?", "solution_steps": ["Multiply: -92 * 2 = -184", "Add: -184 + 58 = -126", "Multiply: -126 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-92 * 2 + 58) * 0", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 2, \"c\": 58, \"d\": 0}", "seed": "6776889349517648087", "semantic_fingerprint": "sha256:8c6265add41f522f6ea0935c8a47c03d36101d7ab71961e1df6616e1aa6fbebf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003264", "prompt": "What is (-72 - (-1)) * 7 * 81?", "solution_steps": ["Subtract: -72 - (-1) = -71", "Multiply: -71 * 7 = -497", "Multiply: -497 * 81 = -40257"], "final_answer": "-40257", "answer_type": "integer", "kind": "expression", "math_text": "(-72 - (-1)) * 7 * 81", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -1, \"c\": 7, \"d\": 81}", "seed": "6327326163156543821", "semantic_fingerprint": "sha256:d7e5ed1772ee069c010ce57da8da8c5c27c2c1f70ecd0c8feff70804c95e59c1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003265", "prompt": "What is -295 + 0 * 83 * (-69 * (-58))?", "solution_steps": ["Multiply: 0 * 83 = 0", "Multiply: -69 * (-58) = 4002", "Multiply: 0 * 4002 = 0", "Add: -295 + 0 = -295"], "final_answer": "-295", "answer_type": "integer", "kind": "expression", "math_text": "-295 + 0 * 83 * (-69 * (-58))", "variable": null, "family": "expression_4op", "shape": "(+ n (* (* n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -295, \"b\": 0, \"c\": 83, \"d\": -69, \"e\": -58}", "seed": "546090397096776087", "semantic_fingerprint": "sha256:f0d62dcc699eeeb63c00273b3bb147146fc22ce3e80d05ac41a7a12a26c98d4c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003266", "prompt": "What is -9 * (-125) + (-486 - 3 / 78)?", "solution_steps": ["Multiply: -9 * (-125) = 1125", "Divide: 3 / 78 = 1/26", "Subtract: -486 - 1/26 = -12637/26", "Add: 1125 + (-12637/26) = 16613/26"], "final_answer": "16613/26", "answer_type": "rational", "kind": "expression", "math_text": "-9 * (-125) + (-486 - 3 / 78)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -125, \"c\": -486, \"d\": 3, \"e\": 78}", "seed": "1100611842725345812", "semantic_fingerprint": "sha256:32d62e65ccfeb3e7e6c8be2a1751d0cea88373c71346f4856dcd73ef39e4ff89", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003267", "prompt": "Evaluate: 37 - (-824 - (-476 - 63))", "solution_steps": ["Subtract: -476 - 63 = -539", "Subtract: -824 - (-539) = -285", "Subtract: 37 - (-285) = 322"], "final_answer": "322", "answer_type": "integer", "kind": "expression", "math_text": "37 - (-824 - (-476 - 63))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": -824, \"c\": -476, \"d\": 63}", "seed": "6834001468111420364", "semantic_fingerprint": "sha256:2aef31401ebc31e8cc1513ffe46f7688657477b449814c21312cda7fdabfc19c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003268", "prompt": "What is -732 - (-39) + 92 * (22 * (-47) - 71)?", "solution_steps": ["Subtract: -732 - (-39) = -693", "Multiply: 22 * (-47) = -1034", "Subtract: -1034 - 71 = -1105", "Multiply: 92 * (-1105) = -101660", "Add: -693 + (-101660) = -102353"], "final_answer": "-102353", "answer_type": "integer", "kind": "expression", "math_text": "-732 - (-39) + 92 * (22 * (-47) - 71)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (* n (- (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -732, \"b\": -39, \"c\": 92, \"d\": 22, \"e\": -47, \"f\": 71}", "seed": "2543305704597063405", "semantic_fingerprint": "sha256:5da1d3b3af2913ea22ea2972ddb50b3129671c77942b576a6d8ad17899f6a4e1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003269", "prompt": "What value of x satisfies 4(x - 6) + 4 = 2(x + 84) - 150?", "solution_steps": ["Expand: 4x - 24 + 4 = 2(x + 84) - 150", "Expand: 4x - 24 + 4 = 2x + 168 - 150", "Combine constants: 4x - 20 = 2x + 168 - 150", "Combine constants: 4x - 20 = 2x + 18", "Subtract 2x from both sides: 2x - 20 = 18", "Add 20 to both sides: 2x = 38", "Divide both sides by 2: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 6) + 4 = 2(x + 84) - 150", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 4, \"d\": 2, \"e\": 84, \"g\": -150, \"x\": 19}", "seed": "2670561786253565767", "semantic_fingerprint": "sha256:218b3064c58d0b9ecc29f5b5c818051b87723964f8927348b687e3b5d8b51850", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003270", "prompt": "What is 3 * (-1 * (7 * (-379))) + (-36)?", "solution_steps": ["Multiply: 7 * (-379) = -2653", "Multiply: -1 * (-2653) = 2653", "Multiply: 3 * 2653 = 7959", "Add: 7959 + (-36) = 7923"], "final_answer": "7923", "answer_type": "integer", "kind": "expression", "math_text": "3 * (-1 * (7 * (-379))) + (-36)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (* n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -1, \"c\": 7, \"d\": -379, \"e\": -36}", "seed": "2650231356817534039", "semantic_fingerprint": "sha256:fbb55336eca13562261d0f23becfdbe5fb2c91d662914df6504c2d81fd954976", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003271", "prompt": "Compute: -55 - 52 * (-1) / ((-284 + (-371)) / (-53))", "solution_steps": ["Multiply: 52 * (-1) = -52", "Add: -284 + (-371) = -655", "Divide: -655 / (-53) = 655/53", "Divide: -52 / (655/53) = -2756/655", "Subtract: -55 - (-2756/655) = -33269/655"], "final_answer": "-33269/655", "answer_type": "rational", "kind": "expression", "math_text": "-55 - 52 * (-1) / ((-284 + (-371)) / (-53))", "variable": null, "family": "expression_5op", "shape": "(- n (/ (* n n) (/ (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 52, \"c\": -1, \"d\": -284, \"e\": -371, \"f\": -53}", "seed": "12809836681133930513", "semantic_fingerprint": "sha256:ff7da066547f2a35fda8c021e8f6764be9c5fac7e89da88ba55af9c8f07e4b33", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003272", "prompt": "Calculate: (-13 - 9) * 36 * (-1)", "solution_steps": ["Subtract: -13 - 9 = -22", "Multiply: -22 * 36 = -792", "Multiply: -792 * (-1) = 792"], "final_answer": "792", "answer_type": "integer", "kind": "expression", "math_text": "(-13 - 9) * 36 * (-1)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 9, \"c\": 36, \"d\": -1}", "seed": "10290574428909750135", "semantic_fingerprint": "sha256:df8c10f6cc0faffbaad5e08707844364e15dd733f42444c18b4021c5ce67f7e5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003273", "prompt": "Compute: 335 / (8 / (5 * 7))", "solution_steps": ["Multiply: 5 * 7 = 35", "Divide: 8 / 35 = 8/35", "Divide: 335 / (8/35) = 11725/8"], "final_answer": "11725/8", "answer_type": "rational", "kind": "expression", "math_text": "335 / (8 / (5 * 7))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 335, \"b\": 8, \"c\": 5, \"d\": 7}", "seed": "15327107033275260901", "semantic_fingerprint": "sha256:5c4efd108ff41f112840240595b7dfa7788c83c06b95f45ab74c60e90889872c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003274", "prompt": "Evaluate: -222 / 3 - (-19) * (-4 - 605)", "solution_steps": ["Divide: -222 / 3 = -74", "Subtract: -4 - 605 = -609", "Multiply: -19 * (-609) = 11571", "Subtract: -74 - 11571 = -11645"], "final_answer": "-11645", "answer_type": "integer", "kind": "expression", "math_text": "-222 / 3 - (-19) * (-4 - 605)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -222, \"b\": 3, \"c\": -19, \"d\": -4, \"e\": 605}", "seed": "2418969522671158024", "semantic_fingerprint": "sha256:1230418d5ffb3c62d58c1a4db7ff9ae4dda814aea5830de88439f37a4534b952", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003275", "prompt": "Calculate: (-5 - 95) * (-82 / 5)", "solution_steps": ["Subtract: -5 - 95 = -100", "Divide: -82 / 5 = -82/5", "Multiply: -100 * (-82/5) = 1640"], "final_answer": "1640", "answer_type": "integer", "kind": "expression", "math_text": "(-5 - 95) * (-82 / 5)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 95, \"c\": -82, \"d\": 5}", "seed": "13067440449389683314", "semantic_fingerprint": "sha256:a9f380259848cbf13dfc477e0ef8e98deff09df23a00d58f677b690b4927cb2e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003276", "prompt": "Solve the equation -6(x + 4) + 22 = 7(x + 41) - 7 for x.", "solution_steps": ["Expand: -6x - 24 + 22 = 7(x + 41) - 7", "Expand: -6x - 24 + 22 = 7x + 287 - 7", "Combine constants: -6x - 2 = 7x + 287 - 7", "Combine constants: -6x - 2 = 7x + 280", "Subtract 7x from both sides: -13x - 2 = 280", "Add 2 to both sides: -13x = 282", "Divide both sides by -13: x = -282/13"], "final_answer": "-282/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x + 4) + 22 = 7(x + 41) - 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4, \"c\": 22, \"d\": 7, \"e\": 41, \"f\": 7}", "seed": "12984665229856451820", "semantic_fingerprint": "sha256:99f2738ff08867cad0bd635dc3be333deb2367f4e80d8895daabc55cce029b4a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003277", "prompt": "Evaluate: (7 + 75 * (-47)) * (-1 - 9)", "solution_steps": ["Multiply: 75 * (-47) = -3525", "Add: 7 + (-3525) = -3518", "Subtract: -1 - 9 = -10", "Multiply: -3518 * (-10) = 35180"], "final_answer": "35180", "answer_type": "integer", "kind": "expression", "math_text": "(7 + 75 * (-47)) * (-1 - 9)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 75, \"c\": -47, \"d\": -1, \"e\": 9}", "seed": "6512608820036874870", "semantic_fingerprint": "sha256:d2ec57ed9d88bab18d71c9d194b0c34035001fd480891f994fd28aecd6ce52f0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003278", "prompt": "Calculate: 8 / (509 + (-1) - 43 / (-8)) - (-78)", "solution_steps": ["Add: 509 + (-1) = 508", "Divide: 43 / (-8) = -43/8", "Subtract: 508 - (-43/8) = 4107/8", "Divide: 8 / (4107/8) = 64/4107", "Subtract: 64/4107 - (-78) = 320410/4107"], "final_answer": "320410/4107", "answer_type": "rational", "kind": "expression", "math_text": "8 / (509 + (-1) - 43 / (-8)) - (-78)", "variable": null, "family": "expression_5op", "shape": "(- (/ n (- (+ n n) (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 509, \"c\": -1, \"d\": 43, \"e\": -8, \"f\": -78}", "seed": "1247758253412513110", "semantic_fingerprint": "sha256:7872b77c1cda7255d2d3c97cfea2608752b7e81e63ccd0e06f53c0edf28cf859", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003279", "prompt": "Evaluate: 405 * 8 / (56 * ((40 - (-64)) * 40))", "solution_steps": ["Multiply: 405 * 8 = 3240", "Subtract: 40 - (-64) = 104", "Multiply: 104 * 40 = 4160", "Multiply: 56 * 4160 = 232960", "Divide: 3240 / 232960 = 81/5824"], "final_answer": "81/5824", "answer_type": "rational", "kind": "expression", "math_text": "405 * 8 / (56 * ((40 - (-64)) * 40))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (* n (* (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 405, \"b\": 8, \"c\": 56, \"d\": 40, \"e\": -64, \"f\": 40}", "seed": "3783006313061779530", "semantic_fingerprint": "sha256:54e37ce4c76dca25cdace489c3e805c9c8d134ce6e473cb3ebac3a003076ae29", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003280", "prompt": "What value of x satisfies -10(x - 3) + 6 = 5x + 988?", "solution_steps": ["Expand: -10x + 30 + 6 = 5x + 988", "Combine constants: -10x + 36 = 5x + 988", "Subtract 5x from both sides: -15x + 36 = 988", "Subtract 36 from both sides: -15x = 952", "Divide both sides by -15: x = -952/15"], "final_answer": "-952/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 3) + 6 = 5x + 988", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 3, \"c\": 6, \"d\": 5, \"e\": 988}", "seed": "16798479230893360174", "semantic_fingerprint": "sha256:cd259c64c12ec170fc4b3369706fc7e402c372d458d58fd3ed1d9b149374d8e0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003281", "prompt": "Evaluate: -88 * (87 + 904) + (9 - 35) - 24", "solution_steps": ["Add: 87 + 904 = 991", "Multiply: -88 * 991 = -87208", "Subtract: 9 - 35 = -26", "Add: -87208 + (-26) = -87234", "Subtract: -87234 - 24 = -87258"], "final_answer": "-87258", "answer_type": "integer", "kind": "expression", "math_text": "-88 * (87 + 904) + (9 - 35) - 24", "variable": null, "family": "expression_5op", "shape": "(- (+ (* n (+ n n)) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": 87, \"c\": 904, \"d\": 9, \"e\": 35, \"f\": 24}", "seed": "3741663477098393534", "semantic_fingerprint": "sha256:0b4126a3cb31d9f61f8e8d3936520c91c2d6c99b6a80553b73165abb70a5d62b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003282", "prompt": "Compute: 145 - (-6 * (-29) + 362)", "solution_steps": ["Multiply: -6 * (-29) = 174", "Add: 174 + 362 = 536", "Subtract: 145 - 536 = -391"], "final_answer": "-391", "answer_type": "integer", "kind": "expression", "math_text": "145 - (-6 * (-29) + 362)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 145, \"b\": -6, \"c\": -29, \"d\": 362}", "seed": "13962932211382165790", "semantic_fingerprint": "sha256:4342e4b198bd5c667285600d8417f1b55b9db8efa08ca5b57d2c1b720c7d492f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003283", "prompt": "Compute: 26 + (-79) + (4 * 46 / (-2) - (-2))", "solution_steps": ["Add: 26 + (-79) = -53", "Multiply: 4 * 46 = 184", "Divide: 184 / (-2) = -92", "Subtract: -92 - (-2) = -90", "Add: -53 + (-90) = -143"], "final_answer": "-143", "answer_type": "integer", "kind": "expression", "math_text": "26 + (-79) + (4 * 46 / (-2) - (-2))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- (/ (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": -79, \"c\": 4, \"d\": 46, \"e\": -2, \"f\": -2}", "seed": "6339633258088738527", "semantic_fingerprint": "sha256:11997518fa422c1c68e0930c05bb2c6702323a5bb90919dda535170bbebd8933", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003284", "prompt": "Find x: 7(x + 7) - 44 = x - 829", "solution_steps": ["Expand: 7x + 49 - 44 = x - 829", "Combine constants: 7x + 5 = x - 829", "Subtract x from both sides: 6x + 5 = -829", "Subtract 5 from both sides: 6x = -834", "Divide both sides by 6: x = -139"], "final_answer": "-139", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 7) - 44 = x - 829", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 44, \"d\": 829}", "seed": "4645446120572171413", "semantic_fingerprint": "sha256:0a38eb3690f164a1810d11f92bea19cbe964162455b721b64d73542df788f130", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003285", "prompt": "Calculate: (-9 - 9) * (1 / (-8))", "solution_steps": ["Subtract: -9 - 9 = -18", "Divide: 1 / (-8) = -1/8", "Multiply: -18 * (-1/8) = 9/4"], "final_answer": "9/4", "answer_type": "rational", "kind": "expression", "math_text": "(-9 - 9) * (1 / (-8))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 9, \"c\": 1, \"d\": -8}", "seed": "9198714517093898100", "semantic_fingerprint": "sha256:35a800ce1d174bc4c355823c4bf68be7dfd5406f295db5d80a93990cbab35d3d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003286", "prompt": "Solve for x: 7(x - 2) - 57 = 10(x - 2)", "solution_steps": ["Expand: 7x - 14 - 57 = 10(x - 2)", "Expand: 7x - 14 - 57 = 10x - 20", "Combine constants: 7x - 71 = 10x - 20", "Subtract 10x from both sides: -3x - 71 = -20", "Add 71 to both sides: -3x = 51", "Divide both sides by -3: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 2) - 57 = 10(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": 10, \"d\": 2, \"f\": -57, \"x\": -17}", "seed": "17747737427814673744", "semantic_fingerprint": "sha256:abd1895394b1072cb9392662673d18066039460217c012998cb7ea7da1ee9e5c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003287", "prompt": "Calculate: -772 + 799 - (392 + (-59))", "solution_steps": ["Add: -772 + 799 = 27", "Add: 392 + (-59) = 333", "Subtract: 27 - 333 = -306"], "final_answer": "-306", "answer_type": "integer", "kind": "expression", "math_text": "-772 + 799 - (392 + (-59))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -772, \"b\": 799, \"c\": 392, \"d\": -59}", "seed": "7095650330360085805", "semantic_fingerprint": "sha256:b0e01ee775129582a7a2a2906e228c4d346e0c51b16dd141e1f58bf30125b47a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003288", "prompt": "What is (-67 - 23) * (-90 * 3)?", "solution_steps": ["Subtract: -67 - 23 = -90", "Multiply: -90 * 3 = -270", "Multiply: -90 * (-270) = 24300"], "final_answer": "24300", "answer_type": "integer", "kind": "expression", "math_text": "(-67 - 23) * (-90 * 3)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": 23, \"c\": -90, \"d\": 3}", "seed": "1604493813306003850", "semantic_fingerprint": "sha256:0aab1315f141ccf01ca486ab200118cb918c2977b4a26f7a56ce656db1801915", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003289", "prompt": "What value of x satisfies 12(x + 4) - 5 = x - 1?", "solution_steps": ["Expand: 12x + 48 - 5 = x - 1", "Combine constants: 12x + 43 = x - 1", "Subtract x from both sides: 11x + 43 = -1", "Subtract 43 from both sides: 11x = -44", "Divide both sides by 11: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 4) - 5 = x - 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": 5, \"e\": -1, \"x\": -4}", "seed": "13108645253584932691", "semantic_fingerprint": "sha256:5f714f017b2a8f356f314e1081de0b50a1d085acc953fcb44bbb027a4310717b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003290", "prompt": "What is -92 / 786 + (-913) / (-2)?", "solution_steps": ["Divide: -92 / 786 = -46/393", "Divide: -913 / (-2) = 913/2", "Add: -46/393 + 913/2 = 358717/786"], "final_answer": "358717/786", "answer_type": "rational", "kind": "expression", "math_text": "-92 / 786 + (-913) / (-2)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 786, \"c\": -913, \"d\": -2}", "seed": "7812776692118170250", "semantic_fingerprint": "sha256:6d65e32d3e3f80cb339f000e595b8773410bcb7ad8e96840415dd45b9db1c2a9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003291", "prompt": "Evaluate: -3 / (-3) + 45 / (-357)", "solution_steps": ["Divide: -3 / (-3) = 1", "Divide: 45 / (-357) = -15/119", "Add: 1 + (-15/119) = 104/119"], "final_answer": "104/119", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-3) + 45 / (-357)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -3, \"c\": 45, \"d\": -357}", "seed": "14434517114348905908", "semantic_fingerprint": "sha256:f837527ef7ff4199e91c6ff3c27a52481edf6fcb988498425b41a9c29c5c435f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003292", "prompt": "Evaluate: (-7 + (-69 - (93 - (-837)))) * (-51)", "solution_steps": ["Subtract: 93 - (-837) = 930", "Subtract: -69 - 930 = -999", "Add: -7 + (-999) = -1006", "Multiply: -1006 * (-51) = 51306"], "final_answer": "51306", "answer_type": "integer", "kind": "expression", "math_text": "(-7 + (-69 - (93 - (-837)))) * (-51)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (- n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -69, \"c\": 93, \"d\": -837, \"e\": -51}", "seed": "6003145489009643462", "semantic_fingerprint": "sha256:39cd3cc01343798f0af9fa5f3318e4f279fe0fccc76af1b682a355d414c7ea00", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003293", "prompt": "What is -62 + (6 + (-1)) * (-55 + (-929) / 444)?", "solution_steps": ["Add: 6 + (-1) = 5", "Divide: -929 / 444 = -929/444", "Add: -55 + (-929/444) = -25349/444", "Multiply: 5 * (-25349/444) = -126745/444", "Add: -62 + (-126745/444) = -154273/444"], "final_answer": "-154273/444", "answer_type": "rational", "kind": "expression", "math_text": "-62 + (6 + (-1)) * (-55 + (-929) / 444)", "variable": null, "family": "expression_5op", "shape": "(+ n (* (+ n n) (+ n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": 6, \"c\": -1, \"d\": -55, \"e\": -929, \"f\": 444}", "seed": "4697597769504958506", "semantic_fingerprint": "sha256:51886998d164696bd1c683198838e7087ef02cd7aa4fb34c38da01a6d4d62508", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003294", "prompt": "Evaluate: (-1 + (0 / (-215) + 24)) / 2", "solution_steps": ["Divide: 0 / (-215) = 0", "Add: 0 + 24 = 24", "Add: -1 + 24 = 23", "Divide: 23 / 2 = 23/2"], "final_answer": "23/2", "answer_type": "rational", "kind": "expression", "math_text": "(-1 + (0 / (-215) + 24)) / 2", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (+ (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 0, \"c\": -215, \"d\": 24, \"e\": 2}", "seed": "16178501258198197636", "semantic_fingerprint": "sha256:e52f43f600287bfb9210ccbfede0f825e973abe507bb1dc820b23b26c5a9cea1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003295", "prompt": "Compute: 0 + 2 / (-72) / (-3)", "solution_steps": ["Divide: 2 / (-72) = -1/36", "Divide: (-1/36) / (-3) = 1/108", "Add: 0 + 1/108 = 1/108"], "final_answer": "1/108", "answer_type": "rational", "kind": "expression", "math_text": "0 + 2 / (-72) / (-3)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 2, \"c\": -72, \"d\": -3}", "seed": "13888193433591924060", "semantic_fingerprint": "sha256:0886a4723f4a8308ae51f342959d1647f70d72134a4d2e3ebd8874cce22f4fdf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003296", "prompt": "What is -65 * (24 / (-43 + (-78))) + (7 - 1)?", "solution_steps": ["Add: -43 + (-78) = -121", "Divide: 24 / (-121) = -24/121", "Multiply: -65 * (-24/121) = 1560/121", "Subtract: 7 - 1 = 6", "Add: 1560/121 + 6 = 2286/121"], "final_answer": "2286/121", "answer_type": "rational", "kind": "expression", "math_text": "-65 * (24 / (-43 + (-78))) + (7 - 1)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (/ n (+ n n))) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": 24, \"c\": -43, \"d\": -78, \"e\": 7, \"f\": 1}", "seed": "14345105086992429022", "semantic_fingerprint": "sha256:9642ceba655937831103b9a5680c7411536bcd4739068d1328e30f44b1a607da", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003297", "prompt": "Calculate: (4 + (-370) - 347) / (1 / 48)", "solution_steps": ["Add: 4 + (-370) = -366", "Subtract: -366 - 347 = -713", "Divide: 1 / 48 = 1/48", "Divide: -713 / (1/48) = -34224"], "final_answer": "-34224", "answer_type": "integer", "kind": "expression", "math_text": "(4 + (-370) - 347) / (1 / 48)", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -370, \"c\": 347, \"d\": 1, \"e\": 48}", "seed": "15035043109848227719", "semantic_fingerprint": "sha256:ddb499af1bacbc63d4cea134961fe93d71646aa545763d1914423335fb6a0976", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003298", "prompt": "What is (719 - (-3)) * (-40 * (-5))?", "solution_steps": ["Subtract: 719 - (-3) = 722", "Multiply: -40 * (-5) = 200", "Multiply: 722 * 200 = 144400"], "final_answer": "144400", "answer_type": "integer", "kind": "expression", "math_text": "(719 - (-3)) * (-40 * (-5))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 719, \"b\": -3, \"c\": -40, \"d\": -5}", "seed": "3409290433762092138", "semantic_fingerprint": "sha256:5d4bd7fb0b8dc1f071668cc48d29dd5548b2681ec593e21c3c14d4138249b2d8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003299", "prompt": "Solve the equation 10(x + 716) - 7 = x - 8 for x.", "solution_steps": ["Expand: 10x + 7160 - 7 = x - 8", "Combine constants: 10x + 7153 = x - 8", "Subtract x from both sides: 9x + 7153 = -8", "Subtract 7153 from both sides: 9x = -7161", "Divide both sides by 9: x = -2387/3"], "final_answer": "-2387/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 716) - 7 = x - 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 716, \"c\": 7, \"d\": 8}", "seed": "13648996731029682855", "semantic_fingerprint": "sha256:610615b64a3e64a2fd2829387bccccabaf7d6cef36e2d49718b2ff1ca8d31d12", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003300", "prompt": "Compute: 8 / (-6) + 9 / 28", "solution_steps": ["Divide: 8 / (-6) = -4/3", "Divide: 9 / 28 = 9/28", "Add: -4/3 + 9/28 = -85/84"], "final_answer": "-85/84", "answer_type": "rational", "kind": "expression", "math_text": "8 / (-6) + 9 / 28", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -6, \"c\": 9, \"d\": 28}", "seed": "5296897274309072581", "semantic_fingerprint": "sha256:c65adb94b5089162536dcc6910561552d4e408b3d2436b893f4f10efc18042f2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003301", "prompt": "Calculate: (940 / (-375) - 69 * 0) * (-89)", "solution_steps": ["Divide: 940 / (-375) = -188/75", "Multiply: 69 * 0 = 0", "Subtract: -188/75 - 0 = -188/75", "Multiply: (-188/75) * (-89) = 16732/75"], "final_answer": "16732/75", "answer_type": "rational", "kind": "expression", "math_text": "(940 / (-375) - 69 * 0) * (-89)", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 940, \"b\": -375, \"c\": 69, \"d\": 0, \"e\": -89}", "seed": "13389731683298804458", "semantic_fingerprint": "sha256:3da7b57eeae4b2941b5fae2c239c4b93a63775a99b1f9a4d376e8f207e1d7d70", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003302", "prompt": "What is (41 - (-4)) / (57 * 46)?", "solution_steps": ["Subtract: 41 - (-4) = 45", "Multiply: 57 * 46 = 2622", "Divide: 45 / 2622 = 15/874"], "final_answer": "15/874", "answer_type": "rational", "kind": "expression", "math_text": "(41 - (-4)) / (57 * 46)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": -4, \"c\": 57, \"d\": 46}", "seed": "2795899102424847533", "semantic_fingerprint": "sha256:974d2f674d309614516ad5221781baabf458623031d5ed3f34696ae92e2eea54", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003303", "prompt": "Solve for x: -6(x + 53) - 68 = x - 316", "solution_steps": ["Expand: -6x - 318 - 68 = x - 316", "Combine constants: -6x - 386 = x - 316", "Subtract x from both sides: -7x - 386 = -316", "Add 386 to both sides: -7x = 70", "Divide both sides by -7: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 53) - 68 = x - 316", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 53, \"c\": 68, \"e\": -316, \"x\": -10}", "seed": "15588793547670583047", "semantic_fingerprint": "sha256:ac3a64733dd8b206617f4088313f2a47b1a8e555044204cd5aecf0327abb97d8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003304", "prompt": "Compute: -92 - (24 + (-8)) / 2 * (-421)", "solution_steps": ["Add: 24 + (-8) = 16", "Divide: 16 / 2 = 8", "Multiply: 8 * (-421) = -3368", "Subtract: -92 - (-3368) = 3276"], "final_answer": "3276", "answer_type": "integer", "kind": "expression", "math_text": "-92 - (24 + (-8)) / 2 * (-421)", "variable": null, "family": "expression_4op", "shape": "(- n (* (/ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 24, \"c\": -8, \"d\": 2, \"e\": -421}", "seed": "712632762728050782", "semantic_fingerprint": "sha256:b61fb905ccc0635ec890a950478d7ce7ff03d5e88175f4747e6ecbba24d0caee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003305", "prompt": "What value of x satisfies 8(x + 623) + 4 = 3(x + 81) - 6?", "solution_steps": ["Expand: 8x + 4984 + 4 = 3(x + 81) - 6", "Expand: 8x + 4984 + 4 = 3x + 243 - 6", "Combine constants: 8x + 4988 = 3x + 243 - 6", "Combine constants: 8x + 4988 = 3x + 237", "Subtract 3x from both sides: 5x + 4988 = 237", "Subtract 4988 from both sides: 5x = -4751", "Divide both sides by 5: x = -4751/5"], "final_answer": "-4751/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 623) + 4 = 3(x + 81) - 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 623, \"c\": 4, \"d\": 3, \"e\": 81, \"f\": 6}", "seed": "9826109140407390390", "semantic_fingerprint": "sha256:d98698a7f6d010b7d59a02d39adb34ba4950837d8a064a790a65b25e479368df", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003306", "prompt": "What value of x satisfies x - 4 = 3(x - 45) + 119?", "solution_steps": ["Expand: x - 4 = 3x - 135 + 119", "Combine constants: x - 4 = 3x - 16", "Subtract 3x from both sides: -2x - 4 = -16", "Add 4 to both sides: -2x = -12", "Divide both sides by -2: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4 = 3(x - 45) + 119", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 3, \"c\": 45, \"e\": 119, \"x\": 6}", "seed": "15866226535183787209", "semantic_fingerprint": "sha256:4f610ef0c089b9042560fcc0f3e16c40de8b31bc3e24b12b872038db58339121", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003307", "prompt": "Calculate: 600 * (28 / (-5 + (-83)) / (-26))", "solution_steps": ["Add: -5 + (-83) = -88", "Divide: 28 / (-88) = -7/22", "Divide: (-7/22) / (-26) = 7/572", "Multiply: 600 * (7/572) = 1050/143"], "final_answer": "1050/143", "answer_type": "rational", "kind": "expression", "math_text": "600 * (28 / (-5 + (-83)) / (-26))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (/ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 600, \"b\": 28, \"c\": -5, \"d\": -83, \"e\": -26}", "seed": "4355358887805372980", "semantic_fingerprint": "sha256:c20b19302f152e3c11afdae2ec0f5fa4d5a093965988ae9c9186ef8a5c774703", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003308", "prompt": "What is (29 + 51) / (4 * 11) - (-23)?", "solution_steps": ["Add: 29 + 51 = 80", "Multiply: 4 * 11 = 44", "Divide: 80 / 44 = 20/11", "Subtract: 20/11 - (-23) = 273/11"], "final_answer": "273/11", "answer_type": "rational", "kind": "expression", "math_text": "(29 + 51) / (4 * 11) - (-23)", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 51, \"c\": 4, \"d\": 11, \"e\": -23}", "seed": "10838455631690076299", "semantic_fingerprint": "sha256:58402ba1d7e4c444029f82cf72a5ce7078826505faa3681b10f4d01f9d7c8b8e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003309", "prompt": "Calculate: (25 + (-9)) * (-15 - (-4)) / (-583)", "solution_steps": ["Add: 25 + (-9) = 16", "Subtract: -15 - (-4) = -11", "Multiply: 16 * (-11) = -176", "Divide: -176 / (-583) = 16/53"], "final_answer": "16/53", "answer_type": "rational", "kind": "expression", "math_text": "(25 + (-9)) * (-15 - (-4)) / (-583)", "variable": null, "family": "expression_4op", "shape": "(/ (* (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": -9, \"c\": -15, \"d\": -4, \"e\": -583}", "seed": "14544287999310934757", "semantic_fingerprint": "sha256:8b2a78c02a0d94b935e07a5a9b2276104d3478215d9eafb64df664946d1e9575", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003310", "prompt": "Evaluate: (-883 - (-983)) * (621 * 8)", "solution_steps": ["Subtract: -883 - (-983) = 100", "Multiply: 621 * 8 = 4968", "Multiply: 100 * 4968 = 496800"], "final_answer": "496800", "answer_type": "integer", "kind": "expression", "math_text": "(-883 - (-983)) * (621 * 8)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -883, \"b\": -983, \"c\": 621, \"d\": 8}", "seed": "8706268182515630087", "semantic_fingerprint": "sha256:5696d1a1de28bdad655da3039ea248531fa2cad0ea73c057efffa4e46d60e204", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003311", "prompt": "Evaluate: 74 * ((937 + 3 * (-41)) / (-36))", "solution_steps": ["Multiply: 3 * (-41) = -123", "Add: 937 + (-123) = 814", "Divide: 814 / (-36) = -407/18", "Multiply: 74 * (-407/18) = -15059/9"], "final_answer": "-15059/9", "answer_type": "rational", "kind": "expression", "math_text": "74 * ((937 + 3 * (-41)) / (-36))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (+ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": 937, \"c\": 3, \"d\": -41, \"e\": -36}", "seed": "8050947545824505688", "semantic_fingerprint": "sha256:0ae95d563358ee0d0f7c5589a3cff4dca70fae83a1c0826836bb1b33cc34f138", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003312", "prompt": "Evaluate: -9 / (-6) + (-9) / (-9)", "solution_steps": ["Divide: -9 / (-6) = 3/2", "Divide: -9 / (-9) = 1", "Add: 3/2 + 1 = 5/2"], "final_answer": "5/2", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-6) + (-9) / (-9)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -6, \"c\": -9, \"d\": -9}", "seed": "12674986309565093820", "semantic_fingerprint": "sha256:175fc6049833b16912d25f542f2197e21d34d9eac6b56c0522115276c48aba4b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003313", "prompt": "Solve the equation 2(x - 52) = 7x - 9 for x.", "solution_steps": ["Expand: 2x - 104 = 7x - 9", "Subtract 7x from both sides: -5x - 104 = -9", "Add 104 to both sides: -5x = 95", "Divide both sides by -5: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 52) = 7x - 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 52, \"c\": 7, \"e\": -9, \"x\": -19}", "seed": "5967713631567383374", "semantic_fingerprint": "sha256:60593cc41c85be18a0c3d3749241a129fccfcaa7b0c450cc7cb62af075e7a9f2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003314", "prompt": "Solve for x: 12x - 13 = -11(x + 7) + 71", "solution_steps": ["Expand: 12x - 13 = -11x - 77 + 71", "Combine constants: 12x - 13 = -11x - 6", "Add 11x to both sides: 23x - 13 = -6", "Add 13 to both sides: 23x = 7", "Divide both sides by 23: x = 7/23"], "final_answer": "7/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 13 = -11(x + 7) + 71", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 13, \"c\": -11, \"d\": 7, \"e\": 71}", "seed": "8098126049003725423", "semantic_fingerprint": "sha256:d924f2ce4475c56d8e4dba242e3fda058c0500d1dba0850614b88e0becd446a6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003315", "prompt": "Compute: (-469 - (-191)) / (41 * (-60))", "solution_steps": ["Subtract: -469 - (-191) = -278", "Multiply: 41 * (-60) = -2460", "Divide: -278 / (-2460) = 139/1230"], "final_answer": "139/1230", "answer_type": "rational", "kind": "expression", "math_text": "(-469 - (-191)) / (41 * (-60))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -469, \"b\": -191, \"c\": 41, \"d\": -60}", "seed": "1695454080697542859", "semantic_fingerprint": "sha256:23b5e549b0b367f09b00bbe7bb53408b9263ceddac76b9fa94baf43514eae521", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003316", "prompt": "Calculate: -4 - (79 - (-607 - 97))", "solution_steps": ["Subtract: -607 - 97 = -704", "Subtract: 79 - (-704) = 783", "Subtract: -4 - 783 = -787"], "final_answer": "-787", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (79 - (-607 - 97))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 79, \"c\": -607, \"d\": 97}", "seed": "11365189138777825935", "semantic_fingerprint": "sha256:0ee6c91c3848101027e787b84323512db78ddb55b1ee567e7536b2dc01fecbc2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003317", "prompt": "Evaluate: -20 / (9 - (-7) + 995)", "solution_steps": ["Subtract: 9 - (-7) = 16", "Add: 16 + 995 = 1011", "Divide: -20 / 1011 = -20/1011"], "final_answer": "-20/1011", "answer_type": "rational", "kind": "expression", "math_text": "-20 / (9 - (-7) + 995)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 9, \"c\": -7, \"d\": 995}", "seed": "6656466008495068884", "semantic_fingerprint": "sha256:8013314f9dc37731d823b3dc2586891d14f8b18a8e84e62588f143bf5dfff1e2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003318", "prompt": "Evaluate: (-79 - 117) * (855 / (-41))", "solution_steps": ["Subtract: -79 - 117 = -196", "Divide: 855 / (-41) = -855/41", "Multiply: -196 * (-855/41) = 167580/41"], "final_answer": "167580/41", "answer_type": "rational", "kind": "expression", "math_text": "(-79 - 117) * (855 / (-41))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": 117, \"c\": 855, \"d\": -41}", "seed": "11507342060557611906", "semantic_fingerprint": "sha256:f0b8cd46eea3cf21b23588bcffe9424c3054bf820a7dd0ace47a8a201533b86b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003319", "prompt": "Find x: -4(x - 4) - 3 = 5(x - 19)", "solution_steps": ["Expand: -4x + 16 - 3 = 5(x - 19)", "Expand: -4x + 16 - 3 = 5x - 95", "Combine constants: -4x + 13 = 5x - 95", "Subtract 5x from both sides: -9x + 13 = -95", "Subtract 13 from both sides: -9x = -108", "Divide both sides by -9: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 4) - 3 = 5(x - 19)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 4, \"c\": 5, \"d\": 19, \"f\": -3, \"x\": 12}", "seed": "11890643228981398550", "semantic_fingerprint": "sha256:c9e2526cf8381cc299f3396bffd51f4e7fa928ac66dc1d1dd94127ebe797a748", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003320", "prompt": "Compute: 11 + (-17) * 2 * 1 - (-26 - 488)", "solution_steps": ["Multiply: -17 * 2 = -34", "Multiply: -34 * 1 = -34", "Add: 11 + (-34) = -23", "Subtract: -26 - 488 = -514", "Subtract: -23 - (-514) = 491"], "final_answer": "491", "answer_type": "integer", "kind": "expression", "math_text": "11 + (-17) * 2 * 1 - (-26 - 488)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (* (* n n) n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -17, \"c\": 2, \"d\": 1, \"e\": -26, \"f\": 488}", "seed": "10490690187154645032", "semantic_fingerprint": "sha256:f72cd1b6d017e93513137edcf1eebb34b0869480cbcb486ce884a8075895ed13", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003321", "prompt": "Find x: 6(x - 16) + 53 = -4(x + 167) - 40", "solution_steps": ["Expand: 6x - 96 + 53 = -4(x + 167) - 40", "Expand: 6x - 96 + 53 = -4x - 668 - 40", "Combine constants: 6x - 43 = -4x - 668 - 40", "Combine constants: 6x - 43 = -4x - 708", "Add 4x to both sides: 10x - 43 = -708", "Add 43 to both sides: 10x = -665", "Divide both sides by 10: x = -133/2"], "final_answer": "-133/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 16) + 53 = -4(x + 167) - 40", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 16, \"c\": 53, \"d\": -4, \"e\": 167, \"f\": 40}", "seed": "2619648963739155162", "semantic_fingerprint": "sha256:e228f15afa9d9f72a90cc2a2b18a98a753232131a7a69e7e91942d026a9c0f13", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003322", "prompt": "Evaluate: (38 - (-45)) / (-1 + (-6) * 26)", "solution_steps": ["Subtract: 38 - (-45) = 83", "Multiply: -6 * 26 = -156", "Add: -1 + (-156) = -157", "Divide: 83 / (-157) = -83/157"], "final_answer": "-83/157", "answer_type": "rational", "kind": "expression", "math_text": "(38 - (-45)) / (-1 + (-6) * 26)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": -45, \"c\": -1, \"d\": -6, \"e\": 26}", "seed": "12335761214378415667", "semantic_fingerprint": "sha256:823d202076cd6fcb7038e2ff47379dade8241846883c609592689326bbfc1ba2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003323", "prompt": "Evaluate: (-55 - (-72 - 54)) / (-81 + (-32))", "solution_steps": ["Subtract: -72 - 54 = -126", "Subtract: -55 - (-126) = 71", "Add: -81 + (-32) = -113", "Divide: 71 / (-113) = -71/113"], "final_answer": "-71/113", "answer_type": "rational", "kind": "expression", "math_text": "(-55 - (-72 - 54)) / (-81 + (-32))", "variable": null, "family": "expression_4op", "shape": "(/ (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": -72, \"c\": 54, \"d\": -81, \"e\": -32}", "seed": "3937503122676836288", "semantic_fingerprint": "sha256:ca356701918ada301749e84355d2cb2c11d65d3f72c30df0467b964d61e19fb7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003324", "prompt": "Evaluate: 0 / 921 + (-499 * (-3) / (-1) + (-823))", "solution_steps": ["Divide: 0 / 921 = 0", "Multiply: -499 * (-3) = 1497", "Divide: 1497 / (-1) = -1497", "Add: -1497 + (-823) = -2320", "Add: 0 + (-2320) = -2320"], "final_answer": "-2320", "answer_type": "integer", "kind": "expression", "math_text": "0 / 921 + (-499 * (-3) / (-1) + (-823))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (+ (/ (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 921, \"c\": -499, \"d\": -3, \"e\": -1, \"f\": -823}", "seed": "7301389619275958142", "semantic_fingerprint": "sha256:fddde3192432e8cbd63c5376cefa34b5c0c2db881944063146f9b9553aecdea2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003325", "prompt": "Solve the equation 4(x - 5) + 30 = -11(x - 5) for x.", "solution_steps": ["Expand: 4x - 20 + 30 = -11(x - 5)", "Expand: 4x - 20 + 30 = -11x + 55", "Combine constants: 4x + 10 = -11x + 55", "Add 11x to both sides: 15x + 10 = 55", "Subtract 10 from both sides: 15x = 45", "Divide both sides by 15: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 5) + 30 = -11(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": -11, \"d\": 5, \"f\": 30, \"x\": 3}", "seed": "16091725415498097750", "semantic_fingerprint": "sha256:ad410f7c0f242cc177778abd77e748ccc8e82cc5aee186e6410472bc587b0a79", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003326", "prompt": "Solve for x: 2(x - 592) - 76 = 10(x - 9)", "solution_steps": ["Expand: 2x - 1184 - 76 = 10(x - 9)", "Expand: 2x - 1184 - 76 = 10x - 90", "Combine constants: 2x - 1260 = 10x - 90", "Subtract 10x from both sides: -8x - 1260 = -90", "Add 1260 to both sides: -8x = 1170", "Divide both sides by -8: x = -585/4"], "final_answer": "-585/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 592) - 76 = 10(x - 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 592, \"c\": 76, \"d\": 10, \"e\": 9}", "seed": "4342302712539835872", "semantic_fingerprint": "sha256:065911163bb0b187e0299796332ebf4c8db3c5c657fd0c4edcfb22e9d62d6c9d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003327", "prompt": "Evaluate: 6 / (124 / (-12 * (-189)))", "solution_steps": ["Multiply: -12 * (-189) = 2268", "Divide: 124 / 2268 = 31/567", "Divide: 6 / (31/567) = 3402/31"], "final_answer": "3402/31", "answer_type": "rational", "kind": "expression", "math_text": "6 / (124 / (-12 * (-189)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 124, \"c\": -12, \"d\": -189}", "seed": "10987338407076959620", "semantic_fingerprint": "sha256:f1ada91510fb87a3604f9a8360036b8a90e312ee7d691d9d7b5747cea7bb2d38", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003328", "prompt": "What is (18 - 30) * 7 * (-7)?", "solution_steps": ["Subtract: 18 - 30 = -12", "Multiply: -12 * 7 = -84", "Multiply: -84 * (-7) = 588"], "final_answer": "588", "answer_type": "integer", "kind": "expression", "math_text": "(18 - 30) * 7 * (-7)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 30, \"c\": 7, \"d\": -7}", "seed": "5025092045227531195", "semantic_fingerprint": "sha256:81e8d23f6c22463931bfce045376909472b4a1fc681155765d6ef5659cd59ec0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003329", "prompt": "Compute: -1 + 26 - (-8 + 2)", "solution_steps": ["Add: -1 + 26 = 25", "Add: -8 + 2 = -6", "Subtract: 25 - (-6) = 31"], "final_answer": "31", "answer_type": "integer", "kind": "expression", "math_text": "-1 + 26 - (-8 + 2)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 26, \"c\": -8, \"d\": 2}", "seed": "753887743585852560", "semantic_fingerprint": "sha256:14c9e20a0df85cb6fd3a0ea2fbc4e231d6c6577f5e3f4aec86c98b52ca021236", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003330", "prompt": "Calculate: -73 / (-4) + (-11) * 1 * (76 + (-6))", "solution_steps": ["Divide: -73 / (-4) = 73/4", "Multiply: -11 * 1 = -11", "Add: 76 + (-6) = 70", "Multiply: -11 * 70 = -770", "Add: 73/4 + (-770) = -3007/4"], "final_answer": "-3007/4", "answer_type": "rational", "kind": "expression", "math_text": "-73 / (-4) + (-11) * 1 * (76 + (-6))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (* (* n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": -4, \"c\": -11, \"d\": 1, \"e\": 76, \"f\": -6}", "seed": "5341447300687809878", "semantic_fingerprint": "sha256:611a5069281e9862072d73c8914e3441007a583087fe5307027b685d6cf36ec6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003331", "prompt": "Evaluate: -6 * 198 * 6 / (98 + 8)", "solution_steps": ["Multiply: -6 * 198 = -1188", "Multiply: -1188 * 6 = -7128", "Add: 98 + 8 = 106", "Divide: -7128 / 106 = -3564/53"], "final_answer": "-3564/53", "answer_type": "rational", "kind": "expression", "math_text": "-6 * 198 * 6 / (98 + 8)", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 198, \"c\": 6, \"d\": 98, \"e\": 8}", "seed": "423659734711087801", "semantic_fingerprint": "sha256:1fb00b3a485db0d8f3110f1976c03ee5155989e3d0bd6df4282ceece25d77f3a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003332", "prompt": "Solve the equation x - 42 = 5(x - 32) + 86 for x.", "solution_steps": ["Expand: x - 42 = 5x - 160 + 86", "Combine constants: x - 42 = 5x - 74", "Subtract 5x from both sides: -4x - 42 = -74", "Add 42 to both sides: -4x = -32", "Divide both sides by -4: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 42 = 5(x - 32) + 86", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 5, \"c\": 32, \"e\": 86, \"x\": 8}", "seed": "2960576426758646507", "semantic_fingerprint": "sha256:755b0dde2f7ad29f3d57b37b29c1c1f841e668e2e81e7fe8a44cdbda913162bb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003333", "prompt": "What is (58 + 4 * 36) / (-783 / 57)?", "solution_steps": ["Multiply: 4 * 36 = 144", "Add: 58 + 144 = 202", "Divide: -783 / 57 = -261/19", "Divide: 202 / (-261/19) = -3838/261"], "final_answer": "-3838/261", "answer_type": "rational", "kind": "expression", "math_text": "(58 + 4 * 36) / (-783 / 57)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 4, \"c\": 36, \"d\": -783, \"e\": 57}", "seed": "16887311868384367462", "semantic_fingerprint": "sha256:339af5033fc5978df545549c0e5cbcd477067f1e03311b4947434189c90e0be3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003334", "prompt": "What value of x satisfies x - 91 = -10(x - 335) + 297?", "solution_steps": ["Expand: x - 91 = -10x + 3350 + 297", "Combine constants: x - 91 = -10x + 3647", "Add 10x to both sides: 11x - 91 = 3647", "Add 91 to both sides: 11x = 3738", "Divide both sides by 11: x = 3738/11"], "final_answer": "3738/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 91 = -10(x - 335) + 297", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -10, \"c\": 335, \"d\": 297}", "seed": "12736729743657195471", "semantic_fingerprint": "sha256:28b32e468b2e77e0cc0e9bfabb8adf7a2a20d0c8c245a5ff6c2acfd56df5e495", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003335", "prompt": "Compute: -113 - (-8 * (-700) + (-458))", "solution_steps": ["Multiply: -8 * (-700) = 5600", "Add: 5600 + (-458) = 5142", "Subtract: -113 - 5142 = -5255"], "final_answer": "-5255", "answer_type": "integer", "kind": "expression", "math_text": "-113 - (-8 * (-700) + (-458))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -113, \"b\": -8, \"c\": -700, \"d\": -458}", "seed": "17712854492219987767", "semantic_fingerprint": "sha256:8b8e3a0fe53fcd59c83805d857541c33e023fef8f3cf7fc7d27d4e3eb0cafd22", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003336", "prompt": "Compute: 224 / (-1) - (6 * 3 + (-2))", "solution_steps": ["Divide: 224 / (-1) = -224", "Multiply: 6 * 3 = 18", "Add: 18 + (-2) = 16", "Subtract: -224 - 16 = -240"], "final_answer": "-240", "answer_type": "integer", "kind": "expression", "math_text": "224 / (-1) - (6 * 3 + (-2))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 224, \"b\": -1, \"c\": 6, \"d\": 3, \"e\": -2}", "seed": "853879308772685091", "semantic_fingerprint": "sha256:d2affa63b715dc797d11849b445aad055d33f5dab2e34a60f637a75950691501", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003337", "prompt": "Compute: (-717 - 0) * (29 * 0)", "solution_steps": ["Subtract: -717 - 0 = -717", "Multiply: 29 * 0 = 0", "Multiply: -717 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-717 - 0) * (29 * 0)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -717, \"b\": 0, \"c\": 29, \"d\": 0}", "seed": "15333754992490458938", "semantic_fingerprint": "sha256:0122fca5a22dd58202aa495372a46d0f61b77c5714b5748247d05afb289026a0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003338", "prompt": "What value of x satisfies 2(x - 5) - 842 = 11(x - 93)?", "solution_steps": ["Expand: 2x - 10 - 842 = 11(x - 93)", "Expand: 2x - 10 - 842 = 11x - 1023", "Combine constants: 2x - 852 = 11x - 1023", "Subtract 11x from both sides: -9x - 852 = -1023", "Add 852 to both sides: -9x = -171", "Divide both sides by -9: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 5) - 842 = 11(x - 93)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": 11, \"d\": 93, \"f\": -842, \"x\": 19}", "seed": "1684495850618672260", "semantic_fingerprint": "sha256:7e7b6823806424249f37bd76d65e84ca3daa1774398c145f38ab9d033107093a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003339", "prompt": "What is 7 * (2 / (-6) / (-779))?", "solution_steps": ["Divide: 2 / (-6) = -1/3", "Divide: (-1/3) / (-779) = 1/2337", "Multiply: 7 * (1/2337) = 7/2337"], "final_answer": "7/2337", "answer_type": "rational", "kind": "expression", "math_text": "7 * (2 / (-6) / (-779))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": -6, \"d\": -779}", "seed": "1412708747976701223", "semantic_fingerprint": "sha256:e741d1adc3ac771ca9cb3d3c85f89bb8229406db9db58f44870227a22c55c531", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003340", "prompt": "Calculate: 0 * (-4 * 67) / (-9 - (4 + 7))", "solution_steps": ["Multiply: -4 * 67 = -268", "Multiply: 0 * (-268) = 0", "Add: 4 + 7 = 11", "Subtract: -9 - 11 = -20", "Divide: 0 / (-20) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-4 * 67) / (-9 - (4 + 7))", "variable": null, "family": "expression_5op", "shape": "(/ (* n (* n n)) (- n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -4, \"c\": 67, \"d\": -9, \"e\": 4, \"f\": 7}", "seed": "894047184788547610", "semantic_fingerprint": "sha256:3bcc24c8159e51f20c8e5fdf306ea6aebac0c004537378db07b3536ed3f0501a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003341", "prompt": "What value of x satisfies 12(x - 9) + 25 = 5(x + 3) - 238?", "solution_steps": ["Expand: 12x - 108 + 25 = 5(x + 3) - 238", "Expand: 12x - 108 + 25 = 5x + 15 - 238", "Combine constants: 12x - 83 = 5x + 15 - 238", "Combine constants: 12x - 83 = 5x - 223", "Subtract 5x from both sides: 7x - 83 = -223", "Add 83 to both sides: 7x = -140", "Divide both sides by 7: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 9) + 25 = 5(x + 3) - 238", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"c\": 25, \"d\": 5, \"e\": 3, \"g\": -238, \"x\": -20}", "seed": "3251786702274146661", "semantic_fingerprint": "sha256:3150c0f6cb7580289daa62ea302b4f38001e185fc2666ec86016fb8250837b34", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003342", "prompt": "Calculate: (-63 + (-12)) / (328 + 749) + (-1) * (-5)", "solution_steps": ["Add: -63 + (-12) = -75", "Add: 328 + 749 = 1077", "Divide: -75 / 1077 = -25/359", "Multiply: -1 * (-5) = 5", "Add: -25/359 + 5 = 1770/359"], "final_answer": "1770/359", "answer_type": "rational", "kind": "expression", "math_text": "(-63 + (-12)) / (328 + 749) + (-1) * (-5)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ n n) (+ n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": -12, \"c\": 328, \"d\": 749, \"e\": -1, \"f\": -5}", "seed": "14582169915496604388", "semantic_fingerprint": "sha256:a5c7f91ff319d480a4286d81c626e91b77090652fd5b92d9392969a95e7f2184", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003343", "prompt": "Compute: -328 * 17 - (-9 + (-9) * 82 - (-807))", "solution_steps": ["Multiply: -328 * 17 = -5576", "Multiply: -9 * 82 = -738", "Add: -9 + (-738) = -747", "Subtract: -747 - (-807) = 60", "Subtract: -5576 - 60 = -5636"], "final_answer": "-5636", "answer_type": "integer", "kind": "expression", "math_text": "-328 * 17 - (-9 + (-9) * 82 - (-807))", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (- (+ n (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -328, \"b\": 17, \"c\": -9, \"d\": -9, \"e\": 82, \"f\": -807}", "seed": "7046171311407436536", "semantic_fingerprint": "sha256:9d4df8d792b141e8a1b5966587dba47ca90bb3b6d468582e7b10bbc143e580fb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003344", "prompt": "Find x: 6(x - 3) + 7 = -10(x + 2) - 55", "solution_steps": ["Expand: 6x - 18 + 7 = -10(x + 2) - 55", "Expand: 6x - 18 + 7 = -10x - 20 - 55", "Combine constants: 6x - 11 = -10x - 20 - 55", "Combine constants: 6x - 11 = -10x - 75", "Add 10x to both sides: 16x - 11 = -75", "Add 11 to both sides: 16x = -64", "Divide both sides by 16: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 3) + 7 = -10(x + 2) - 55", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 7, \"d\": -10, \"e\": 2, \"g\": -55, \"x\": -4}", "seed": "5120418083807092365", "semantic_fingerprint": "sha256:12c07f2acc75e9e8dd18a09559a92f8f20d3fad66c76995f7213ed820a7e8e8a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003345", "prompt": "Solve for x: 6(x - 871) + 401 = -2(x + 3) - 3", "solution_steps": ["Expand: 6x - 5226 + 401 = -2(x + 3) - 3", "Expand: 6x - 5226 + 401 = -2x - 6 - 3", "Combine constants: 6x - 4825 = -2x - 6 - 3", "Combine constants: 6x - 4825 = -2x - 9", "Add 2x to both sides: 8x - 4825 = -9", "Add 4825 to both sides: 8x = 4816", "Divide both sides by 8: x = 602"], "final_answer": "602", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 871) + 401 = -2(x + 3) - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 871, \"c\": 401, \"d\": -2, \"e\": 3, \"f\": 3}", "seed": "4272600759106486080", "semantic_fingerprint": "sha256:f228e6bce9eb044b71ac169a17ec3e5acad69a38d1b3586dbfc8ca87aee9d79e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003346", "prompt": "Compute: 94 + (-7 * (-3) - 42 + (-6))", "solution_steps": ["Multiply: -7 * (-3) = 21", "Subtract: 21 - 42 = -21", "Add: -21 + (-6) = -27", "Add: 94 + (-27) = 67"], "final_answer": "67", "answer_type": "integer", "kind": "expression", "math_text": "94 + (-7 * (-3) - 42 + (-6))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (- (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": -7, \"c\": -3, \"d\": 42, \"e\": -6}", "seed": "4686405966333611724", "semantic_fingerprint": "sha256:af592eafdfe386b13c76080c4f475ae344a6c31a6f046b52c6b785e9424f3d55", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003347", "prompt": "Evaluate: 29 * 21 / (4 + (-3)) / 8", "solution_steps": ["Multiply: 29 * 21 = 609", "Add: 4 + (-3) = 1", "Divide: 609 / 1 = 609", "Divide: 609 / 8 = 609/8"], "final_answer": "609/8", "answer_type": "rational", "kind": "expression", "math_text": "29 * 21 / (4 + (-3)) / 8", "variable": null, "family": "expression_4op", "shape": "(/ (/ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 21, \"c\": 4, \"d\": -3, \"e\": 8}", "seed": "16216955087316506296", "semantic_fingerprint": "sha256:bf2a98d24b4f18be014f7e555ed6e25b020a281930e0b67a3fff5fbe4125023a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003348", "prompt": "Compute: 11 / (186 - 945 - 60)", "solution_steps": ["Subtract: 186 - 945 = -759", "Subtract: -759 - 60 = -819", "Divide: 11 / (-819) = -11/819"], "final_answer": "-11/819", "answer_type": "rational", "kind": "expression", "math_text": "11 / (186 - 945 - 60)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 186, \"c\": 945, \"d\": 60}", "seed": "5478971223132801782", "semantic_fingerprint": "sha256:81818c3afb8ad20dcfecee8de321504fee563fd57f0ec490bbaa0666d57754e2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003349", "prompt": "What is -47 / 8 + 5 / (-4)?", "solution_steps": ["Divide: -47 / 8 = -47/8", "Divide: 5 / (-4) = -5/4", "Add: -47/8 + (-5/4) = -57/8"], "final_answer": "-57/8", "answer_type": "rational", "kind": "expression", "math_text": "-47 / 8 + 5 / (-4)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 8, \"c\": 5, \"d\": -4}", "seed": "6355235301104855143", "semantic_fingerprint": "sha256:e09fd252161eeb6ee2fa63f906ea065f3469caddbe09c8714155383a91d6681c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003350", "prompt": "Compute: (-35 - (-383) / (-4)) / (-4)", "solution_steps": ["Divide: -383 / (-4) = 383/4", "Subtract: -35 - 383/4 = -523/4", "Divide: (-523/4) / (-4) = 523/16"], "final_answer": "523/16", "answer_type": "rational", "kind": "expression", "math_text": "(-35 - (-383) / (-4)) / (-4)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": -383, \"c\": -4, \"d\": -4}", "seed": "7077007419752222441", "semantic_fingerprint": "sha256:cc1958654c7afd667a5b24c4367707faca22bdcdf4180ec857dc4182fd838dba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003351", "prompt": "Evaluate: -10 + (-7 / (8 - (7 + 4)) + (-40))", "solution_steps": ["Add: 7 + 4 = 11", "Subtract: 8 - 11 = -3", "Divide: -7 / (-3) = 7/3", "Add: 7/3 + (-40) = -113/3", "Add: -10 + (-113/3) = -143/3"], "final_answer": "-143/3", "answer_type": "rational", "kind": "expression", "math_text": "-10 + (-7 / (8 - (7 + 4)) + (-40))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (/ n (- n (+ n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -7, \"c\": 8, \"d\": 7, \"e\": 4, \"f\": -40}", "seed": "1299206242983983593", "semantic_fingerprint": "sha256:eb0c3e5e67c9151a83cb95f911f0c81a2daa694303dd9db859b262159ceabe9a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003352", "prompt": "What value of x satisfies -7x - 1 = 2(x + 6) + 95?", "solution_steps": ["Expand: -7x - 1 = 2x + 12 + 95", "Combine constants: -7x - 1 = 2x + 107", "Subtract 2x from both sides: -9x - 1 = 107", "Add 1 to both sides: -9x = 108", "Divide both sides by -9: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 1 = 2(x + 6) + 95", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 1, \"c\": 2, \"d\": 6, \"f\": 95, \"x\": -12}", "seed": "9392914107355267525", "semantic_fingerprint": "sha256:6bfdb9f8b544ee204c0514b28b99bbbe360af7e6ef473ede5a23c8b0b484a173", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003353", "prompt": "Find x: -12(x - 14) + 6 = 8x + 14", "solution_steps": ["Expand: -12x + 168 + 6 = 8x + 14", "Combine constants: -12x + 174 = 8x + 14", "Subtract 8x from both sides: -20x + 174 = 14", "Subtract 174 from both sides: -20x = -160", "Divide both sides by -20: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 14) + 6 = 8x + 14", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 14, \"c\": 6, \"d\": 8, \"f\": 14, \"x\": 8}", "seed": "3427768293272540735", "semantic_fingerprint": "sha256:5c3d7d2ce8ea0c48828ce56b158ad104a7860a523885fa3ca527211faaac9770", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003354", "prompt": "What is -69 * (53 - (-42) * (-49)) / (3 * (-1))?", "solution_steps": ["Multiply: -42 * (-49) = 2058", "Subtract: 53 - 2058 = -2005", "Multiply: -69 * (-2005) = 138345", "Multiply: 3 * (-1) = -3", "Divide: 138345 / (-3) = -46115"], "final_answer": "-46115", "answer_type": "integer", "kind": "expression", "math_text": "-69 * (53 - (-42) * (-49)) / (3 * (-1))", "variable": null, "family": "expression_5op", "shape": "(/ (* n (- n (* n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": 53, \"c\": -42, \"d\": -49, \"e\": 3, \"f\": -1}", "seed": "13205489526749044222", "semantic_fingerprint": "sha256:5b46772521e38f438e2ef349d66349138ecbba9b2fc126cc4d639046c6b24449", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003355", "prompt": "Compute: (789 / 77 + (-732)) * 33", "solution_steps": ["Divide: 789 / 77 = 789/77", "Add: 789/77 + (-732) = -55575/77", "Multiply: (-55575/77) * 33 = -166725/7"], "final_answer": "-166725/7", "answer_type": "rational", "kind": "expression", "math_text": "(789 / 77 + (-732)) * 33", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 789, \"b\": 77, \"c\": -732, \"d\": 33}", "seed": "11744400435990235890", "semantic_fingerprint": "sha256:75880c7fc1babdf6a4acb64594f4e2fa1a4e5fadf538fb3352842046c4ed38bc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003356", "prompt": "Compute: 700 - (-37) * 9 - 64", "solution_steps": ["Multiply: -37 * 9 = -333", "Subtract: 700 - (-333) = 1033", "Subtract: 1033 - 64 = 969"], "final_answer": "969", "answer_type": "integer", "kind": "expression", "math_text": "700 - (-37) * 9 - 64", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 700, \"b\": -37, \"c\": 9, \"d\": 64}", "seed": "8317719634339772585", "semantic_fingerprint": "sha256:a29ae1a08dfb57e561595409629c007a14b9338b117a1c5f392297f4f5565bef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003357", "prompt": "What is -77 * 15 * (-81) / 239 + 43?", "solution_steps": ["Multiply: -77 * 15 = -1155", "Multiply: -1155 * (-81) = 93555", "Divide: 93555 / 239 = 93555/239", "Add: 93555/239 + 43 = 103832/239"], "final_answer": "103832/239", "answer_type": "rational", "kind": "expression", "math_text": "-77 * 15 * (-81) / 239 + 43", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": 15, \"c\": -81, \"d\": 239, \"e\": 43}", "seed": "9435371491946085222", "semantic_fingerprint": "sha256:ebd8b719fa4018debf442f9bc31c8ddaa6711e212c06f564cd729ffbab0aaec3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003358", "prompt": "Solve for x: 12x - 56 = 5(x + 125) + 728", "solution_steps": ["Expand: 12x - 56 = 5x + 625 + 728", "Combine constants: 12x - 56 = 5x + 1353", "Subtract 5x from both sides: 7x - 56 = 1353", "Add 56 to both sides: 7x = 1409", "Divide both sides by 7: x = 1409/7"], "final_answer": "1409/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 56 = 5(x + 125) + 728", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 56, \"c\": 5, \"d\": 125, \"e\": 728}", "seed": "7051997069540287735", "semantic_fingerprint": "sha256:e925d38118bd5efae233eef0f61bde7de24fac2cca55da5017fd21325866f42a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003359", "prompt": "Calculate: 87 * 782 / (-429 + 39)", "solution_steps": ["Multiply: 87 * 782 = 68034", "Add: -429 + 39 = -390", "Divide: 68034 / (-390) = -11339/65"], "final_answer": "-11339/65", "answer_type": "rational", "kind": "expression", "math_text": "87 * 782 / (-429 + 39)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": 782, \"c\": -429, \"d\": 39}", "seed": "3816586500139723209", "semantic_fingerprint": "sha256:7babdac3f2fac34002764da52792e2677f504455f3fd5300200ed807db5fce38", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003360", "prompt": "What value of x satisfies 11(x - 10) - 50 = 6(x - 25)?", "solution_steps": ["Expand: 11x - 110 - 50 = 6(x - 25)", "Expand: 11x - 110 - 50 = 6x - 150", "Combine constants: 11x - 160 = 6x - 150", "Subtract 6x from both sides: 5x - 160 = -150", "Add 160 to both sides: 5x = 10", "Divide both sides by 5: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 10) - 50 = 6(x - 25)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 10, \"c\": 50, \"d\": 6, \"e\": 25}", "seed": "5750019591625885397", "semantic_fingerprint": "sha256:7e37c4518c9250cf3d9f13daa478422d01aed1493d8a286d96b373c2976e2db8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003361", "prompt": "Solve the equation -4(x - 1) + 995 = 7(x + 5) - 4 for x.", "solution_steps": ["Expand: -4x + 4 + 995 = 7(x + 5) - 4", "Expand: -4x + 4 + 995 = 7x + 35 - 4", "Combine constants: -4x + 999 = 7x + 35 - 4", "Combine constants: -4x + 999 = 7x + 31", "Subtract 7x from both sides: -11x + 999 = 31", "Subtract 999 from both sides: -11x = -968", "Divide both sides by -11: x = 88"], "final_answer": "88", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 1) + 995 = 7(x + 5) - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 1, \"c\": 995, \"d\": 7, \"e\": 5, \"f\": 4}", "seed": "7709099126002601971", "semantic_fingerprint": "sha256:fa0bdd1b27dfd627eb31f8001822cdc68a2e82df1043b516988a394610774737", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003362", "prompt": "Solve for x: 6(x - 29) = -11x - 92", "solution_steps": ["Expand: 6x - 174 = -11x - 92", "Add 11x to both sides: 17x - 174 = -92", "Add 174 to both sides: 17x = 82", "Divide both sides by 17: x = 82/17"], "final_answer": "82/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 29) = -11x - 92", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 29, \"c\": -11, \"d\": 92}", "seed": "15946405325622394961", "semantic_fingerprint": "sha256:de3300f37aeca6b08a26069a7926defcaad8728404fe5fd1ab74767f75629968", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003363", "prompt": "Solve the equation 12(x - 61) + 53 = 6(x + 17) - 4 for x.", "solution_steps": ["Expand: 12x - 732 + 53 = 6(x + 17) - 4", "Expand: 12x - 732 + 53 = 6x + 102 - 4", "Combine constants: 12x - 679 = 6x + 102 - 4", "Combine constants: 12x - 679 = 6x + 98", "Subtract 6x from both sides: 6x - 679 = 98", "Add 679 to both sides: 6x = 777", "Divide both sides by 6: x = 259/2"], "final_answer": "259/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 61) + 53 = 6(x + 17) - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 61, \"c\": 53, \"d\": 6, \"e\": 17, \"f\": 4}", "seed": "8802469569426819502", "semantic_fingerprint": "sha256:91a0a869fa36a1988975d1d4ba0b50e0b86c68c623ea5e1971a5d9830547215a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003364", "prompt": "Evaluate: -4 * (13 - 326) * (36 / 632)", "solution_steps": ["Subtract: 13 - 326 = -313", "Multiply: -4 * (-313) = 1252", "Divide: 36 / 632 = 9/158", "Multiply: 1252 * (9/158) = 5634/79"], "final_answer": "5634/79", "answer_type": "rational", "kind": "expression", "math_text": "-4 * (13 - 326) * (36 / 632)", "variable": null, "family": "expression_4op", "shape": "(* (* n (- n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 13, \"c\": 326, \"d\": 36, \"e\": 632}", "seed": "2739427080850537642", "semantic_fingerprint": "sha256:01aa57b1e85e6e638658d2e6821ca2c8b247219e01a215ca58db9ebed1b92b10", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003365", "prompt": "Compute: 620 / 10 + (-5) / 334", "solution_steps": ["Divide: 620 / 10 = 62", "Divide: -5 / 334 = -5/334", "Add: 62 + (-5/334) = 20703/334"], "final_answer": "20703/334", "answer_type": "rational", "kind": "expression", "math_text": "620 / 10 + (-5) / 334", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 620, \"b\": 10, \"c\": -5, \"d\": 334}", "seed": "4613732448164688392", "semantic_fingerprint": "sha256:bf798b07c4a6db755c24cb9c69c95e950a9fa8ff848e74fa8da3a4cd86b0ab10", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003366", "prompt": "What is 437 / 31 - (-10) / (-16) * (-65 / (-5))?", "solution_steps": ["Divide: 437 / 31 = 437/31", "Divide: -10 / (-16) = 5/8", "Divide: -65 / (-5) = 13", "Multiply: (5/8) * 13 = 65/8", "Subtract: 437/31 - 65/8 = 1481/248"], "final_answer": "1481/248", "answer_type": "rational", "kind": "expression", "math_text": "437 / 31 - (-10) / (-16) * (-65 / (-5))", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (* (/ n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 437, \"b\": 31, \"c\": -10, \"d\": -16, \"e\": -65, \"f\": -5}", "seed": "17076916666207380078", "semantic_fingerprint": "sha256:2e33a7fa7288e3f8110bbc96180715e05e1f0befc40066344cc42bc939b251f6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003367", "prompt": "Solve the equation -4(x - 47) - 565 = 8(x - 8) - 229 for x.", "solution_steps": ["Expand: -4x + 188 - 565 = 8(x - 8) - 229", "Expand: -4x + 188 - 565 = 8x - 64 - 229", "Combine constants: -4x - 377 = 8x - 64 - 229", "Combine constants: -4x - 377 = 8x - 293", "Subtract 8x from both sides: -12x - 377 = -293", "Add 377 to both sides: -12x = 84", "Divide both sides by -12: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 47) - 565 = 8(x - 8) - 229", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 47, \"c\": 565, \"d\": 8, \"e\": 8, \"g\": -229, \"x\": -7}", "seed": "2088124431391687881", "semantic_fingerprint": "sha256:c2d1a8fbd0a27f56c4081b4b072f27f9d21ee4d557da7e416e2b571aca007e8a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003368", "prompt": "Evaluate: -517 - (-77) * 318 + 989 + (-8)", "solution_steps": ["Multiply: -77 * 318 = -24486", "Subtract: -517 - (-24486) = 23969", "Add: 23969 + 989 = 24958", "Add: 24958 + (-8) = 24950"], "final_answer": "24950", "answer_type": "integer", "kind": "expression", "math_text": "-517 - (-77) * 318 + 989 + (-8)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -517, \"b\": -77, \"c\": 318, \"d\": 989, \"e\": -8}", "seed": "15108315396922243404", "semantic_fingerprint": "sha256:be29cead8d80caf715be689120a4fbc432686e77bb338e8d19dc20fece37a1d5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003369", "prompt": "Solve for x: -10(x - 6) - 46 = -9(x - 8) - 46", "solution_steps": ["Expand: -10x + 60 - 46 = -9(x - 8) - 46", "Expand: -10x + 60 - 46 = -9x + 72 - 46", "Combine constants: -10x + 14 = -9x + 72 - 46", "Combine constants: -10x + 14 = -9x + 26", "Add 9x to both sides: -x + 14 = 26", "Subtract 14 from both sides: -x = 12", "Divide both sides by -1: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 6) - 46 = -9(x - 8) - 46", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 6, \"c\": 46, \"d\": -9, \"e\": 8, \"g\": -46, \"x\": -12}", "seed": "585777819325550391", "semantic_fingerprint": "sha256:ea2f192b4c693eae6e199a44bfa0b341484daf9e2e9d83b9236612f5939dab34", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003370", "prompt": "Find x: 5(x - 8) - 688 = 8(x - 88)", "solution_steps": ["Expand: 5x - 40 - 688 = 8(x - 88)", "Expand: 5x - 40 - 688 = 8x - 704", "Combine constants: 5x - 728 = 8x - 704", "Subtract 8x from both sides: -3x - 728 = -704", "Add 728 to both sides: -3x = 24", "Divide both sides by -3: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 8) - 688 = 8(x - 88)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 8, \"d\": 88, \"f\": -688, \"x\": -8}", "seed": "9301759100226314536", "semantic_fingerprint": "sha256:c2408813b774f6aa435c6dc73d662c9bc693974a2a30e959f1067e103c4ab202", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003371", "prompt": "Find x: x - 2 = 3(x - 68) + 196", "solution_steps": ["Expand: x - 2 = 3x - 204 + 196", "Combine constants: x - 2 = 3x - 8", "Subtract 3x from both sides: -2x - 2 = -8", "Add 2 to both sides: -2x = -6", "Divide both sides by -2: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2 = 3(x - 68) + 196", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 68, \"e\": 196, \"x\": 3}", "seed": "12722613353664478382", "semantic_fingerprint": "sha256:f01de202fc7cfe79fc01713e298db2a305fde75aae90d4250dee4549bf9be065", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003372", "prompt": "Find x: 10(x + 36) - 986 = x - 13", "solution_steps": ["Expand: 10x + 360 - 986 = x - 13", "Combine constants: 10x - 626 = x - 13", "Subtract x from both sides: 9x - 626 = -13", "Add 626 to both sides: 9x = 613", "Divide both sides by 9: x = 613/9"], "final_answer": "613/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 36) - 986 = x - 13", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 36, \"c\": 986, \"d\": 13}", "seed": "4506417189576620127", "semantic_fingerprint": "sha256:2fe094cd1e43049b98243aba6e9894a918440894684c32c647f3db0dbb5e829d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003373", "prompt": "Evaluate: (46 + (-287)) / (2 - (96 - (-26)))", "solution_steps": ["Add: 46 + (-287) = -241", "Subtract: 96 - (-26) = 122", "Subtract: 2 - 122 = -120", "Divide: -241 / (-120) = 241/120"], "final_answer": "241/120", "answer_type": "rational", "kind": "expression", "math_text": "(46 + (-287)) / (2 - (96 - (-26)))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -287, \"c\": 2, \"d\": 96, \"e\": -26}", "seed": "242593630912066178", "semantic_fingerprint": "sha256:e8fce7f0c346688a783678767ea4b7a59e66305e9853b7decd6fefac9dc5b61d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003374", "prompt": "Evaluate: (7 + (-55) - (83 / 80 + 742)) * (-6)", "solution_steps": ["Add: 7 + (-55) = -48", "Divide: 83 / 80 = 83/80", "Add: 83/80 + 742 = 59443/80", "Subtract: -48 - 59443/80 = -63283/80", "Multiply: (-63283/80) * (-6) = 189849/40"], "final_answer": "189849/40", "answer_type": "rational", "kind": "expression", "math_text": "(7 + (-55) - (83 / 80 + 742)) * (-6)", "variable": null, "family": "expression_5op", "shape": "(* (- (+ n n) (+ (/ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -55, \"c\": 83, \"d\": 80, \"e\": 742, \"f\": -6}", "seed": "1417751483630828675", "semantic_fingerprint": "sha256:cdc07aa86f3e08f569a177077ef38a7b3d64f43554388d8928a87ecdf98ff035", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003375", "prompt": "What value of x satisfies 6(x + 646) - 362 = x - 99?", "solution_steps": ["Expand: 6x + 3876 - 362 = x - 99", "Combine constants: 6x + 3514 = x - 99", "Subtract x from both sides: 5x + 3514 = -99", "Subtract 3514 from both sides: 5x = -3613", "Divide both sides by 5: x = -3613/5"], "final_answer": "-3613/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 646) - 362 = x - 99", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 646, \"c\": 362, \"d\": 99}", "seed": "15788333012167728720", "semantic_fingerprint": "sha256:fac71d2e5a1ed32b6dec5d89b7727e8b58419c7f5ee4a3407956ff3caebb54f2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003376", "prompt": "What is -5 * 6 / (5 + 0) * (-82)?", "solution_steps": ["Multiply: -5 * 6 = -30", "Add: 5 + 0 = 5", "Divide: -30 / 5 = -6", "Multiply: -6 * (-82) = 492"], "final_answer": "492", "answer_type": "integer", "kind": "expression", "math_text": "-5 * 6 / (5 + 0) * (-82)", "variable": null, "family": "expression_4op", "shape": "(* (/ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 6, \"c\": 5, \"d\": 0, \"e\": -82}", "seed": "7726416722746834278", "semantic_fingerprint": "sha256:67227ab1131205fb812651778ed2dc6530a2aecf7b5c18633456659601359284", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003377", "prompt": "Calculate: 42 * (-6 / (-22 - (-7 - 7 - (-370))))", "solution_steps": ["Subtract: -7 - 7 = -14", "Subtract: -14 - (-370) = 356", "Subtract: -22 - 356 = -378", "Divide: -6 / (-378) = 1/63", "Multiply: 42 * (1/63) = 2/3"], "final_answer": "2/3", "answer_type": "rational", "kind": "expression", "math_text": "42 * (-6 / (-22 - (-7 - 7 - (-370))))", "variable": null, "family": "expression_5op", "shape": "(* n (/ n (- n (- (- n n) n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -6, \"c\": -22, \"d\": -7, \"e\": 7, \"f\": -370}", "seed": "17364866918388258360", "semantic_fingerprint": "sha256:88f971bf560632b649c32ed63e539488205680ef16e68e27910f0e09cea0ec7d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003378", "prompt": "Calculate: 0 / 6 / 4 - 9 / (76 - (-35))", "solution_steps": ["Divide: 0 / 6 = 0", "Divide: 0 / 4 = 0", "Subtract: 76 - (-35) = 111", "Divide: 9 / 111 = 3/37", "Subtract: 0 - 3/37 = -3/37"], "final_answer": "-3/37", "answer_type": "rational", "kind": "expression", "math_text": "0 / 6 / 4 - 9 / (76 - (-35))", "variable": null, "family": "expression_5op", "shape": "(- (/ (/ n n) n) (/ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 6, \"c\": 4, \"d\": 9, \"e\": 76, \"f\": -35}", "seed": "5552405252851998180", "semantic_fingerprint": "sha256:18b98e773481c3864a71c19c3e295057b03536cebef6cab745266970ac8388a2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003379", "prompt": "What value of x satisfies -5x - 3 = 8(x + 58) + 72?", "solution_steps": ["Expand: -5x - 3 = 8x + 464 + 72", "Combine constants: -5x - 3 = 8x + 536", "Subtract 8x from both sides: -13x - 3 = 536", "Add 3 to both sides: -13x = 539", "Divide both sides by -13: x = -539/13"], "final_answer": "-539/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x - 3 = 8(x + 58) + 72", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 3, \"c\": 8, \"d\": 58, \"e\": 72}", "seed": "16444347822256149951", "semantic_fingerprint": "sha256:735e9998a1bf8ff0633660760f3f3c5f021e02130d2f29be8a2ff1b2644b9bd2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003380", "prompt": "Calculate: (-45 - (-692) / (-2) - (-52)) / 98 / (-43)", "solution_steps": ["Divide: -692 / (-2) = 346", "Subtract: -45 - 346 = -391", "Subtract: -391 - (-52) = -339", "Divide: -339 / 98 = -339/98", "Divide: (-339/98) / (-43) = 339/4214"], "final_answer": "339/4214", "answer_type": "rational", "kind": "expression", "math_text": "(-45 - (-692) / (-2) - (-52)) / 98 / (-43)", "variable": null, "family": "expression_5op", "shape": "(/ (/ (- (- n (/ n n)) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": -692, \"c\": -2, \"d\": -52, \"e\": 98, \"f\": -43}", "seed": "2774224251710160354", "semantic_fingerprint": "sha256:d303b9f12ace627c19ece7558cf5fe859106ad67f5ac75a9b0f4704694fcedb1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003381", "prompt": "Solve the equation -10(x - 2) - 533 = 7(x - 83) for x.", "solution_steps": ["Expand: -10x + 20 - 533 = 7(x - 83)", "Expand: -10x + 20 - 533 = 7x - 581", "Combine constants: -10x - 513 = 7x - 581", "Subtract 7x from both sides: -17x - 513 = -581", "Add 513 to both sides: -17x = -68", "Divide both sides by -17: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 2) - 533 = 7(x - 83)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 2, \"c\": 7, \"d\": 83, \"f\": -533, \"x\": 4}", "seed": "10562013737062874733", "semantic_fingerprint": "sha256:ee4d1aab641133b3559f358f10953f7882ab53c0eb393031f0808ec6554c9769", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003382", "prompt": "What is (58 + 62 + (-251 + 73)) / 857?", "solution_steps": ["Add: 58 + 62 = 120", "Add: -251 + 73 = -178", "Add: 120 + (-178) = -58", "Divide: -58 / 857 = -58/857"], "final_answer": "-58/857", "answer_type": "rational", "kind": "expression", "math_text": "(58 + 62 + (-251 + 73)) / 857", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 62, \"c\": -251, \"d\": 73, \"e\": 857}", "seed": "3135779137438389715", "semantic_fingerprint": "sha256:1e011083c75a5af0ed2f93d6e1942c5617c1565c5633d660a79aa4bfc7291231", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003383", "prompt": "Solve for x: -6(x + 6) + 19 = -12(x + 63) - 1", "solution_steps": ["Expand: -6x - 36 + 19 = -12(x + 63) - 1", "Expand: -6x - 36 + 19 = -12x - 756 - 1", "Combine constants: -6x - 17 = -12x - 756 - 1", "Combine constants: -6x - 17 = -12x - 757", "Add 12x to both sides: 6x - 17 = -757", "Add 17 to both sides: 6x = -740", "Divide both sides by 6: x = -370/3"], "final_answer": "-370/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x + 6) + 19 = -12(x + 63) - 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 6, \"c\": 19, \"d\": -12, \"e\": 63, \"f\": 1}", "seed": "4506483834721315361", "semantic_fingerprint": "sha256:4e3c2e522cdf921c544b7e36788872c2fc7822870c7dbb8eb881baa7175df839", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003384", "prompt": "Evaluate: (54 - 786) * (96 / (-83))", "solution_steps": ["Subtract: 54 - 786 = -732", "Divide: 96 / (-83) = -96/83", "Multiply: -732 * (-96/83) = 70272/83"], "final_answer": "70272/83", "answer_type": "rational", "kind": "expression", "math_text": "(54 - 786) * (96 / (-83))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 786, \"c\": 96, \"d\": -83}", "seed": "1983714045491993957", "semantic_fingerprint": "sha256:241cdc3f5ab86c6598644c09c6e5264aaf4937015309bbeedc5e62d3fcea8f95", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003385", "prompt": "Solve the equation x - 798 = -7(x - 769) + 97 for x.", "solution_steps": ["Expand: x - 798 = -7x + 5383 + 97", "Combine constants: x - 798 = -7x + 5480", "Add 7x to both sides: 8x - 798 = 5480", "Add 798 to both sides: 8x = 6278", "Divide both sides by 8: x = 3139/4"], "final_answer": "3139/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 798 = -7(x - 769) + 97", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 798, \"b\": -7, \"c\": 769, \"d\": 97}", "seed": "13330022167869811286", "semantic_fingerprint": "sha256:a766c5ff9a36c36a23badcc9906f20cf482166ce0be0bf065bd19b47564041b7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003386", "prompt": "Calculate: (-4 - (-92)) * (4 / (-830))", "solution_steps": ["Subtract: -4 - (-92) = 88", "Divide: 4 / (-830) = -2/415", "Multiply: 88 * (-2/415) = -176/415"], "final_answer": "-176/415", "answer_type": "rational", "kind": "expression", "math_text": "(-4 - (-92)) * (4 / (-830))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -92, \"c\": 4, \"d\": -830}", "seed": "9207310647926602360", "semantic_fingerprint": "sha256:419ef24ac440e41349a37a17cde6cafec2a3bf1693e68168035874f79d3c1966", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003387", "prompt": "Compute: 10 + (-2 + (-72)) + (-54) * (-1)", "solution_steps": ["Add: -2 + (-72) = -74", "Add: 10 + (-74) = -64", "Multiply: -54 * (-1) = 54", "Add: -64 + 54 = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "expression", "math_text": "10 + (-2 + (-72)) + (-54) * (-1)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -2, \"c\": -72, \"d\": -54, \"e\": -1}", "seed": "7838917418429353795", "semantic_fingerprint": "sha256:47d696ddf0c16e10ce74958809aec5f8797e3d8e54024ce0a9bfd643bceb2ddf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003388", "prompt": "Calculate: -33 / 65 - (-82) - 9", "solution_steps": ["Divide: -33 / 65 = -33/65", "Subtract: -33/65 - (-82) = 5297/65", "Subtract: 5297/65 - 9 = 4712/65"], "final_answer": "4712/65", "answer_type": "rational", "kind": "expression", "math_text": "-33 / 65 - (-82) - 9", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": 65, \"c\": -82, \"d\": 9}", "seed": "6969114496030131778", "semantic_fingerprint": "sha256:20f1380422d5f73e83d2469c11bd62f2ae46c5443dbb6e0cb278a98ab4a393ed", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003389", "prompt": "What is -927 * (-6 / (-37 - 0)) / 888?", "solution_steps": ["Subtract: -37 - 0 = -37", "Divide: -6 / (-37) = 6/37", "Multiply: -927 * (6/37) = -5562/37", "Divide: (-5562/37) / 888 = -927/5476"], "final_answer": "-927/5476", "answer_type": "rational", "kind": "expression", "math_text": "-927 * (-6 / (-37 - 0)) / 888", "variable": null, "family": "expression_4op", "shape": "(/ (* n (/ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -927, \"b\": -6, \"c\": -37, \"d\": 0, \"e\": 888}", "seed": "5764589355024641045", "semantic_fingerprint": "sha256:54719612b8e8d327f611fe7fdf435f22dbf3310d158e93e6055ada6d6c29b204", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003390", "prompt": "Solve for x: -12(x + 9) + 626 = 11(x + 43) - 369", "solution_steps": ["Expand: -12x - 108 + 626 = 11(x + 43) - 369", "Expand: -12x - 108 + 626 = 11x + 473 - 369", "Combine constants: -12x + 518 = 11x + 473 - 369", "Combine constants: -12x + 518 = 11x + 104", "Subtract 11x from both sides: -23x + 518 = 104", "Subtract 518 from both sides: -23x = -414", "Divide both sides by -23: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 9) + 626 = 11(x + 43) - 369", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 9, \"c\": 626, \"d\": 11, \"e\": 43, \"g\": -369, \"x\": 18}", "seed": "1375004396762352952", "semantic_fingerprint": "sha256:8c041408bd2491893725e069959e6427bce82b013d547d15e1f2fe25ac0d854f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003391", "prompt": "Evaluate: (72 - 642) * (-20 / (-332))", "solution_steps": ["Subtract: 72 - 642 = -570", "Divide: -20 / (-332) = 5/83", "Multiply: -570 * (5/83) = -2850/83"], "final_answer": "-2850/83", "answer_type": "rational", "kind": "expression", "math_text": "(72 - 642) * (-20 / (-332))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": 642, \"c\": -20, \"d\": -332}", "seed": "12276243797892867738", "semantic_fingerprint": "sha256:300398ca3f615e6fbfb8e69901b6c93a819eb5931415016eeaf961fc0f050e0e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003392", "prompt": "What value of x satisfies 8(x + 1) + 60 = 11(x + 3) - 421?", "solution_steps": ["Expand: 8x + 8 + 60 = 11(x + 3) - 421", "Expand: 8x + 8 + 60 = 11x + 33 - 421", "Combine constants: 8x + 68 = 11x + 33 - 421", "Combine constants: 8x + 68 = 11x - 388", "Subtract 11x from both sides: -3x + 68 = -388", "Subtract 68 from both sides: -3x = -456", "Divide both sides by -3: x = 152"], "final_answer": "152", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 1) + 60 = 11(x + 3) - 421", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": 60, \"d\": 11, \"e\": 3, \"f\": 421}", "seed": "10543598040202508507", "semantic_fingerprint": "sha256:59261408ddd33c1cf795656b256e16fbdc04e1e7493f92a0775bb7d848f58abe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003393", "prompt": "Compute: 0 / (-3 + (89 + (-91 + 801)))", "solution_steps": ["Add: -91 + 801 = 710", "Add: 89 + 710 = 799", "Add: -3 + 799 = 796", "Divide: 0 / 796 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-3 + (89 + (-91 + 801)))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ n (+ n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -3, \"c\": 89, \"d\": -91, \"e\": 801}", "seed": "1572268718886108588", "semantic_fingerprint": "sha256:222e53c874e5da2f7742c3a3175e6e5253048946d775fcdb721a8963d1409525", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003394", "prompt": "Calculate: (-15 + 53 - 9) * (-8 + 28)", "solution_steps": ["Add: -15 + 53 = 38", "Subtract: 38 - 9 = 29", "Add: -8 + 28 = 20", "Multiply: 29 * 20 = 580"], "final_answer": "580", "answer_type": "integer", "kind": "expression", "math_text": "(-15 + 53 - 9) * (-8 + 28)", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": 53, \"c\": 9, \"d\": -8, \"e\": 28}", "seed": "17737512655999493292", "semantic_fingerprint": "sha256:d213b0f597fc3fc2477f902db2d506a048bbac4f39f72e3a0b35824645348e0a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003395", "prompt": "Evaluate: (-67 + (-6 + (376 - 8))) * 2", "solution_steps": ["Subtract: 376 - 8 = 368", "Add: -6 + 368 = 362", "Add: -67 + 362 = 295", "Multiply: 295 * 2 = 590"], "final_answer": "590", "answer_type": "integer", "kind": "expression", "math_text": "(-67 + (-6 + (376 - 8))) * 2", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": -6, \"c\": 376, \"d\": 8, \"e\": 2}", "seed": "12684057770431387942", "semantic_fingerprint": "sha256:9e5e350fd0033de98ebf82b66db759713e2892083e821a7e7c6c718770704c9d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003396", "prompt": "What is 3 / (50 / (3 - (-6) - (-1)))?", "solution_steps": ["Subtract: 3 - (-6) = 9", "Subtract: 9 - (-1) = 10", "Divide: 50 / 10 = 5", "Divide: 3 / 5 = 3/5"], "final_answer": "3/5", "answer_type": "rational", "kind": "expression", "math_text": "3 / (50 / (3 - (-6) - (-1)))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ n (- (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 50, \"c\": 3, \"d\": -6, \"e\": -1}", "seed": "2808521997013594832", "semantic_fingerprint": "sha256:af8e5f7785b6777a6208776b2f960cfbc657bd6505935d81d43a18087ca01687", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003397", "prompt": "What value of x satisfies 9(x + 9) + 8 = 3(x + 390) - 61?", "solution_steps": ["Expand: 9x + 81 + 8 = 3(x + 390) - 61", "Expand: 9x + 81 + 8 = 3x + 1170 - 61", "Combine constants: 9x + 89 = 3x + 1170 - 61", "Combine constants: 9x + 89 = 3x + 1109", "Subtract 3x from both sides: 6x + 89 = 1109", "Subtract 89 from both sides: 6x = 1020", "Divide both sides by 6: x = 170"], "final_answer": "170", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 9) + 8 = 3(x + 390) - 61", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 8, \"d\": 3, \"e\": 390, \"f\": 61}", "seed": "17450291167696155888", "semantic_fingerprint": "sha256:d6081eeb24f66bed5d71b8990a7f367b90e6e78c79dfceeeb88bf4eae62e9ee5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003398", "prompt": "Solve for x: 3(x - 1) = 7x - 39", "solution_steps": ["Expand: 3x - 3 = 7x - 39", "Subtract 7x from both sides: -4x - 3 = -39", "Add 3 to both sides: -4x = -36", "Divide both sides by -4: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 1) = 7x - 39", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 1, \"c\": 7, \"e\": -39, \"x\": 9}", "seed": "12986994712837997502", "semantic_fingerprint": "sha256:0c93e5aed5bec6446a1708bde2de28bc48c4e68a04494171d4f23ee7c3925268", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003399", "prompt": "Compute: (-735 + (-7) + 275 / (-7)) / (-15)", "solution_steps": ["Add: -735 + (-7) = -742", "Divide: 275 / (-7) = -275/7", "Add: -742 + (-275/7) = -5469/7", "Divide: (-5469/7) / (-15) = 1823/35"], "final_answer": "1823/35", "answer_type": "rational", "kind": "expression", "math_text": "(-735 + (-7) + 275 / (-7)) / (-15)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -735, \"b\": -7, \"c\": 275, \"d\": -7, \"e\": -15}", "seed": "6434809548386573770", "semantic_fingerprint": "sha256:c0267b28da92947046857abba19e456f6db52e07a93c1a6a1382dc3a61a194f5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003400", "prompt": "Solve for x: x - 93 = 2(x - 591) + 996", "solution_steps": ["Expand: x - 93 = 2x - 1182 + 996", "Combine constants: x - 93 = 2x - 186", "Subtract 2x from both sides: -x - 93 = -186", "Add 93 to both sides: -x = -93", "Divide both sides by -1: x = 93"], "final_answer": "93", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 93 = 2(x - 591) + 996", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 2, \"c\": 591, \"d\": 996}", "seed": "11329568778328745519", "semantic_fingerprint": "sha256:6babd069b1ea2c7c8b43bd92817667a232fa761a93e60239b690205616550ed1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003401", "prompt": "What value of x satisfies 11(x - 30) + 32 = -12(x + 6) - 157?", "solution_steps": ["Expand: 11x - 330 + 32 = -12(x + 6) - 157", "Expand: 11x - 330 + 32 = -12x - 72 - 157", "Combine constants: 11x - 298 = -12x - 72 - 157", "Combine constants: 11x - 298 = -12x - 229", "Add 12x to both sides: 23x - 298 = -229", "Add 298 to both sides: 23x = 69", "Divide both sides by 23: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 30) + 32 = -12(x + 6) - 157", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 30, \"c\": 32, \"d\": -12, \"e\": 6, \"g\": -157, \"x\": 3}", "seed": "6023996801036573319", "semantic_fingerprint": "sha256:4b22549e93907048b8be57321eae2e77a1a8ab6746318d5f0bbc96097bc728c5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003402", "prompt": "Find x: 4x - 36 = -4(x + 74) + 204", "solution_steps": ["Expand: 4x - 36 = -4x - 296 + 204", "Combine constants: 4x - 36 = -4x - 92", "Add 4x to both sides: 8x - 36 = -92", "Add 36 to both sides: 8x = -56", "Divide both sides by 8: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 36 = -4(x + 74) + 204", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 36, \"c\": -4, \"d\": 74, \"f\": 204, \"x\": -7}", "seed": "5058451169792674099", "semantic_fingerprint": "sha256:ff7a1add81930c2694309cb5bc6e1f14177384616c5bbf634c99ef8b4965ac74", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003403", "prompt": "What is -12 / (-55 / (-599 - 7 - 0))?", "solution_steps": ["Subtract: -599 - 7 = -606", "Subtract: -606 - 0 = -606", "Divide: -55 / (-606) = 55/606", "Divide: -12 / (55/606) = -7272/55"], "final_answer": "-7272/55", "answer_type": "rational", "kind": "expression", "math_text": "-12 / (-55 / (-599 - 7 - 0))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ n (- (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -55, \"c\": -599, \"d\": 7, \"e\": 0}", "seed": "14806504571073480285", "semantic_fingerprint": "sha256:b57592b65184cdecbbfdd0b51691fbb805cc44661f9f57ea464c39ba257bccef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003404", "prompt": "Solve for x: -6(x - 86) = -2x - 49", "solution_steps": ["Expand: -6x + 516 = -2x - 49", "Add 2x to both sides: -4x + 516 = -49", "Subtract 516 from both sides: -4x = -565", "Divide both sides by -4: x = 565/4"], "final_answer": "565/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 86) = -2x - 49", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 86, \"c\": -2, \"d\": 49}", "seed": "17170460895699502613", "semantic_fingerprint": "sha256:3ab87985f5f8eb38848d80a5d9d74c222d2b891231d654c4fcb01bdf25ae2b76", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003405", "prompt": "Solve the equation -7(x + 30) + 33 = 7(x + 73) - 744 for x.", "solution_steps": ["Expand: -7x - 210 + 33 = 7(x + 73) - 744", "Expand: -7x - 210 + 33 = 7x + 511 - 744", "Combine constants: -7x - 177 = 7x + 511 - 744", "Combine constants: -7x - 177 = 7x - 233", "Subtract 7x from both sides: -14x - 177 = -233", "Add 177 to both sides: -14x = -56", "Divide both sides by -14: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 30) + 33 = 7(x + 73) - 744", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 30, \"c\": 33, \"d\": 7, \"e\": 73, \"g\": -744, \"x\": 4}", "seed": "10068014830186509949", "semantic_fingerprint": "sha256:5f35087a51f2566a7da8abf0c382f58d266e39c14d81cfedc5c77ea3b27b8d94", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003406", "prompt": "Compute: 806 / (-415) * 0 * (-94) * (-739 - 4)", "solution_steps": ["Divide: 806 / (-415) = -806/415", "Multiply: (-806/415) * 0 = 0", "Multiply: 0 * (-94) = 0", "Subtract: -739 - 4 = -743", "Multiply: 0 * (-743) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "806 / (-415) * 0 * (-94) * (-739 - 4)", "variable": null, "family": "expression_5op", "shape": "(* (* (* (/ n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 806, \"b\": -415, \"c\": 0, \"d\": -94, \"e\": -739, \"f\": 4}", "seed": "10716409757344287093", "semantic_fingerprint": "sha256:6b507656ca66657c24016b17523cfa7913a1de8ea22acc1e4b085b69a374da06", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003407", "prompt": "What value of x satisfies 10(x - 29) = -4x - 458?", "solution_steps": ["Expand: 10x - 290 = -4x - 458", "Add 4x to both sides: 14x - 290 = -458", "Add 290 to both sides: 14x = -168", "Divide both sides by 14: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 29) = -4x - 458", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 29, \"c\": -4, \"e\": -458, \"x\": -12}", "seed": "15975027883240965217", "semantic_fingerprint": "sha256:c7e7ee412631035c477f24a32a35f9e7a974d00cd024bb062d89022ec19f456b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003408", "prompt": "Solve the equation 3(x - 2) - 72 = 4(x - 5) for x.", "solution_steps": ["Expand: 3x - 6 - 72 = 4(x - 5)", "Expand: 3x - 6 - 72 = 4x - 20", "Combine constants: 3x - 78 = 4x - 20", "Subtract 4x from both sides: -x - 78 = -20", "Add 78 to both sides: -x = 58", "Divide both sides by -1: x = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 2) - 72 = 4(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 72, \"d\": 4, \"e\": 5}", "seed": "13294111348771805438", "semantic_fingerprint": "sha256:482817dd092ed7b5b21565fd40c016c724371c534c9f143388ab4ecfcda6533a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003409", "prompt": "Find x: -2(x - 693) + 564 = -11(x + 8) - 85", "solution_steps": ["Expand: -2x + 1386 + 564 = -11(x + 8) - 85", "Expand: -2x + 1386 + 564 = -11x - 88 - 85", "Combine constants: -2x + 1950 = -11x - 88 - 85", "Combine constants: -2x + 1950 = -11x - 173", "Add 11x to both sides: 9x + 1950 = -173", "Subtract 1950 from both sides: 9x = -2123", "Divide both sides by 9: x = -2123/9"], "final_answer": "-2123/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 693) + 564 = -11(x + 8) - 85", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 693, \"c\": 564, \"d\": -11, \"e\": 8, \"f\": 85}", "seed": "12483536067427316103", "semantic_fingerprint": "sha256:7e0ae1646d3f74b39844b043c1a58da377181abaef49523a6b075345405849fe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003410", "prompt": "Find x: 4(x - 897) - 237 = 9(x - 28) - 420", "solution_steps": ["Expand: 4x - 3588 - 237 = 9(x - 28) - 420", "Expand: 4x - 3588 - 237 = 9x - 252 - 420", "Combine constants: 4x - 3825 = 9x - 252 - 420", "Combine constants: 4x - 3825 = 9x - 672", "Subtract 9x from both sides: -5x - 3825 = -672", "Add 3825 to both sides: -5x = 3153", "Divide both sides by -5: x = -3153/5"], "final_answer": "-3153/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 897) - 237 = 9(x - 28) - 420", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 897, \"c\": 237, \"d\": 9, \"e\": 28, \"f\": 420}", "seed": "7179052494068823508", "semantic_fingerprint": "sha256:a8548a1f3919c8540acd21846eb84bf5ceb7979ee15fe93e305ec281f1b60b0d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003411", "prompt": "Compute: -66 * (-80) - (-3) * (84 + (-2))", "solution_steps": ["Multiply: -66 * (-80) = 5280", "Add: 84 + (-2) = 82", "Multiply: -3 * 82 = -246", "Subtract: 5280 - (-246) = 5526"], "final_answer": "5526", "answer_type": "integer", "kind": "expression", "math_text": "-66 * (-80) - (-3) * (84 + (-2))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": -80, \"c\": -3, \"d\": 84, \"e\": -2}", "seed": "2405039083759781207", "semantic_fingerprint": "sha256:8b20f1e11d722477bf84556409fe11d7ed230dc48c28e598cefbdd2cc9d0e08c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003412", "prompt": "Solve the equation 5(x - 134) = 11x - 676 for x.", "solution_steps": ["Expand: 5x - 670 = 11x - 676", "Subtract 11x from both sides: -6x - 670 = -676", "Add 670 to both sides: -6x = -6", "Divide both sides by -6: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 134) = 11x - 676", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 134, \"c\": 11, \"e\": -676, \"x\": 1}", "seed": "8561014673263526145", "semantic_fingerprint": "sha256:6a8b23ffcaed8f7342dbe16991029049ef7931406bd1cb7187eec0b658ec7fcb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003413", "prompt": "Evaluate: (-9 - 0) * (-2) - 20 + 55 + (-476)", "solution_steps": ["Subtract: -9 - 0 = -9", "Multiply: -9 * (-2) = 18", "Subtract: 18 - 20 = -2", "Add: -2 + 55 = 53", "Add: 53 + (-476) = -423"], "final_answer": "-423", "answer_type": "integer", "kind": "expression", "math_text": "(-9 - 0) * (-2) - 20 + 55 + (-476)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- (* (- n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 0, \"c\": -2, \"d\": 20, \"e\": 55, \"f\": -476}", "seed": "14396396349813063927", "semantic_fingerprint": "sha256:612b675d94c49f138e5b0dd57da03f17858527bf4962b5a1ac64b1e292dca4cf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003414", "prompt": "Calculate: -38 * 28 * (69 * (-5)) + (-6)", "solution_steps": ["Multiply: -38 * 28 = -1064", "Multiply: 69 * (-5) = -345", "Multiply: -1064 * (-345) = 367080", "Add: 367080 + (-6) = 367074"], "final_answer": "367074", "answer_type": "integer", "kind": "expression", "math_text": "-38 * 28 * (69 * (-5)) + (-6)", "variable": null, "family": "expression_4op", "shape": "(+ (* (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": 28, \"c\": 69, \"d\": -5, \"e\": -6}", "seed": "15184320930898370464", "semantic_fingerprint": "sha256:01a7dbc8aaf6e1012eef3382e530db2c994d0ebc124bce4734fea1ac56334461", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003415", "prompt": "Evaluate: -80 + (-1) - 177 - (-89 + (-664)) + (-8)", "solution_steps": ["Add: -80 + (-1) = -81", "Subtract: -81 - 177 = -258", "Add: -89 + (-664) = -753", "Subtract: -258 - (-753) = 495", "Add: 495 + (-8) = 487"], "final_answer": "487", "answer_type": "integer", "kind": "expression", "math_text": "-80 + (-1) - 177 - (-89 + (-664)) + (-8)", "variable": null, "family": "expression_5op", "shape": "(+ (- (- (+ n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": -1, \"c\": 177, \"d\": -89, \"e\": -664, \"f\": -8}", "seed": "1670454091666324089", "semantic_fingerprint": "sha256:f97578c255ce056e5c558dfab668f152722f4aba70079be6edaca269066fb3b9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003416", "prompt": "Calculate: -52 / (1 - (-4) + 0)", "solution_steps": ["Subtract: 1 - (-4) = 5", "Add: 5 + 0 = 5", "Divide: -52 / 5 = -52/5"], "final_answer": "-52/5", "answer_type": "rational", "kind": "expression", "math_text": "-52 / (1 - (-4) + 0)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": 1, \"c\": -4, \"d\": 0}", "seed": "5572981773278871374", "semantic_fingerprint": "sha256:1f955aca44bcc6f6d05351f9041b3396589bfbf4649ff3155f77311e6b3c0e76", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003417", "prompt": "Calculate: (5 - 2) * (-48) * 60", "solution_steps": ["Subtract: 5 - 2 = 3", "Multiply: 3 * (-48) = -144", "Multiply: -144 * 60 = -8640"], "final_answer": "-8640", "answer_type": "integer", "kind": "expression", "math_text": "(5 - 2) * (-48) * 60", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": -48, \"d\": 60}", "seed": "10465942618930769752", "semantic_fingerprint": "sha256:7496ee1d468bda0bcdbad2b1582ab09cffba7fb707efe4c1db4d7e7a40481c59", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003418", "prompt": "Evaluate: 28 - 33 / (548 * 39)", "solution_steps": ["Multiply: 548 * 39 = 21372", "Divide: 33 / 21372 = 11/7124", "Subtract: 28 - 11/7124 = 199461/7124"], "final_answer": "199461/7124", "answer_type": "rational", "kind": "expression", "math_text": "28 - 33 / (548 * 39)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 33, \"c\": 548, \"d\": 39}", "seed": "8083671401281477780", "semantic_fingerprint": "sha256:bcbce4601d541c9ce03791229a36aa8a2bc9f325aeeeb09022ad04e7eb8e6aa2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003419", "prompt": "What value of x satisfies -8x - 759 = -3(x + 7) + 4?", "solution_steps": ["Expand: -8x - 759 = -3x - 21 + 4", "Combine constants: -8x - 759 = -3x - 17", "Add 3x to both sides: -5x - 759 = -17", "Add 759 to both sides: -5x = 742", "Divide both sides by -5: x = -742/5"], "final_answer": "-742/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x - 759 = -3(x + 7) + 4", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 759, \"c\": -3, \"d\": 7, \"e\": 4}", "seed": "11784137115629872666", "semantic_fingerprint": "sha256:f12b04a0e580c4052ba20a6da427e8f2b4725e2ee8f4f032525675849efa3c94", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003420", "prompt": "Evaluate: (-6 + (-5) * 6) * (5 * 197)", "solution_steps": ["Multiply: -5 * 6 = -30", "Add: -6 + (-30) = -36", "Multiply: 5 * 197 = 985", "Multiply: -36 * 985 = -35460"], "final_answer": "-35460", "answer_type": "integer", "kind": "expression", "math_text": "(-6 + (-5) * 6) * (5 * 197)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -5, \"c\": 6, \"d\": 5, \"e\": 197}", "seed": "15411133184445450048", "semantic_fingerprint": "sha256:8918ff548db2b50b23882b5e0e90222b10c799d41b586d1eee5e90d3615e1041", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003421", "prompt": "Evaluate: -98 * (32 * (39 - (-3)))", "solution_steps": ["Subtract: 39 - (-3) = 42", "Multiply: 32 * 42 = 1344", "Multiply: -98 * 1344 = -131712"], "final_answer": "-131712", "answer_type": "integer", "kind": "expression", "math_text": "-98 * (32 * (39 - (-3)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": 32, \"c\": 39, \"d\": -3}", "seed": "17393379281141438833", "semantic_fingerprint": "sha256:b9b5a8ce8f17977523598a7b1eee36385b7965ac35d4e0e7a4b61acaaec24d56", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003422", "prompt": "What is (9 - 757) / (-2 * (-4))?", "solution_steps": ["Subtract: 9 - 757 = -748", "Multiply: -2 * (-4) = 8", "Divide: -748 / 8 = -187/2"], "final_answer": "-187/2", "answer_type": "rational", "kind": "expression", "math_text": "(9 - 757) / (-2 * (-4))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 757, \"c\": -2, \"d\": -4}", "seed": "18184610624632248212", "semantic_fingerprint": "sha256:57167e574c704d952346c3be177f98dedfb1458b0dcb16d42d2dc224a2d1434b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003423", "prompt": "Find x: -4(x + 738) - 693 = x - 8", "solution_steps": ["Expand: -4x - 2952 - 693 = x - 8", "Combine constants: -4x - 3645 = x - 8", "Subtract x from both sides: -5x - 3645 = -8", "Add 3645 to both sides: -5x = 3637", "Divide both sides by -5: x = -3637/5"], "final_answer": "-3637/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 738) - 693 = x - 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 738, \"c\": 693, \"d\": 8}", "seed": "9060180857209476489", "semantic_fingerprint": "sha256:8553790f1e317af561b286244a7786fa3bac5e5db6597016e62b6b1673a7a1b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003424", "prompt": "Calculate: 874 + (-4) - (-6 + 809 * (-94))", "solution_steps": ["Add: 874 + (-4) = 870", "Multiply: 809 * (-94) = -76046", "Add: -6 + (-76046) = -76052", "Subtract: 870 - (-76052) = 76922"], "final_answer": "76922", "answer_type": "integer", "kind": "expression", "math_text": "874 + (-4) - (-6 + 809 * (-94))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 874, \"b\": -4, \"c\": -6, \"d\": 809, \"e\": -94}", "seed": "10976098043827310497", "semantic_fingerprint": "sha256:e4283722a6641d00604ad3cdcd3bf7a5cefacefd8f33de18519be6702654b2a3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003425", "prompt": "Solve the equation 8x - 95 = 7(x + 1) + 85 for x.", "solution_steps": ["Expand: 8x - 95 = 7x + 7 + 85", "Combine constants: 8x - 95 = 7x + 92", "Subtract 7x from both sides: x - 95 = 92", "Add 95 to both sides: x = 187"], "final_answer": "187", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 95 = 7(x + 1) + 85", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 95, \"c\": 7, \"d\": 1, \"e\": 85}", "seed": "876203806687489337", "semantic_fingerprint": "sha256:ceeb4e938a4ff5a06a7adc2bb6d9c117b4ca0697b51178a4334beaf0df3cf108", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003426", "prompt": "Solve the equation 2(x - 650) + 604 = 12(x - 43) for x.", "solution_steps": ["Expand: 2x - 1300 + 604 = 12(x - 43)", "Expand: 2x - 1300 + 604 = 12x - 516", "Combine constants: 2x - 696 = 12x - 516", "Subtract 12x from both sides: -10x - 696 = -516", "Add 696 to both sides: -10x = 180", "Divide both sides by -10: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 650) + 604 = 12(x - 43)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 650, \"c\": 12, \"d\": 43, \"f\": 604, \"x\": -18}", "seed": "14861476784782950200", "semantic_fingerprint": "sha256:9e4a3a665f5c73ffcd23a1e08eb4ab2f4df42152b397175689bb02d3bfd1f530", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003427", "prompt": "What value of x satisfies 10(x - 86) + 13 = 9x + 87?", "solution_steps": ["Expand: 10x - 860 + 13 = 9x + 87", "Combine constants: 10x - 847 = 9x + 87", "Subtract 9x from both sides: x - 847 = 87", "Add 847 to both sides: x = 934"], "final_answer": "934", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 86) + 13 = 9x + 87", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 86, \"c\": 13, \"d\": 9, \"e\": 87}", "seed": "8502123339063599972", "semantic_fingerprint": "sha256:2d39a3ac961190bee8dcbeb96595a5557624e0bb702da1ab47ce2ebaf0848b5f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003428", "prompt": "Calculate: (2 - 60) * (66 / 95)", "solution_steps": ["Subtract: 2 - 60 = -58", "Divide: 66 / 95 = 66/95", "Multiply: -58 * (66/95) = -3828/95"], "final_answer": "-3828/95", "answer_type": "rational", "kind": "expression", "math_text": "(2 - 60) * (66 / 95)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 60, \"c\": 66, \"d\": 95}", "seed": "17695698469634650423", "semantic_fingerprint": "sha256:6f9c52e5f356639fe039d3b08eea5ad273f13dd6d644f525eb35fa2292a456c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003429", "prompt": "What is 46 + 65 * (-77) + (-322 + (-8) / 3)?", "solution_steps": ["Multiply: 65 * (-77) = -5005", "Add: 46 + (-5005) = -4959", "Divide: -8 / 3 = -8/3", "Add: -322 + (-8/3) = -974/3", "Add: -4959 + (-974/3) = -15851/3"], "final_answer": "-15851/3", "answer_type": "rational", "kind": "expression", "math_text": "46 + 65 * (-77) + (-322 + (-8) / 3)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (* n n)) (+ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": 65, \"c\": -77, \"d\": -322, \"e\": -8, \"f\": 3}", "seed": "11137045853469573654", "semantic_fingerprint": "sha256:72ed9bfef956d2a2b65b0da7e002d2f36968cc1483021221a25dcc7cf951b12f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003430", "prompt": "What is 28 - (60 - 115) / ((-6 - (-174)) / (-883))?", "solution_steps": ["Subtract: 60 - 115 = -55", "Subtract: -6 - (-174) = 168", "Divide: 168 / (-883) = -168/883", "Divide: -55 / (-168/883) = 48565/168", "Subtract: 28 - 48565/168 = -43861/168"], "final_answer": "-43861/168", "answer_type": "rational", "kind": "expression", "math_text": "28 - (60 - 115) / ((-6 - (-174)) / (-883))", "variable": null, "family": "expression_5op", "shape": "(- n (/ (- n n) (/ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 60, \"c\": 115, \"d\": -6, \"e\": -174, \"f\": -883}", "seed": "6509702003001316019", "semantic_fingerprint": "sha256:8234e54125de425a7b862d3348772b6e89fc07e2eb0399d5fbb51391aa787db4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003431", "prompt": "Calculate: (687 + (-3) + (-5)) * 81", "solution_steps": ["Add: 687 + (-3) = 684", "Add: 684 + (-5) = 679", "Multiply: 679 * 81 = 54999"], "final_answer": "54999", "answer_type": "integer", "kind": "expression", "math_text": "(687 + (-3) + (-5)) * 81", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 687, \"b\": -3, \"c\": -5, \"d\": 81}", "seed": "14264804005888584240", "semantic_fingerprint": "sha256:9d0f8f9372c3f8cd174e200efcf249d0b1e788ebb84d67a020ad10e9fba1c3cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003432", "prompt": "Find x: 9(x - 71) = 3x - 633", "solution_steps": ["Expand: 9x - 639 = 3x - 633", "Subtract 3x from both sides: 6x - 639 = -633", "Add 639 to both sides: 6x = 6", "Divide both sides by 6: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 71) = 3x - 633", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 71, \"c\": 3, \"e\": -633, \"x\": 1}", "seed": "8010140973250683562", "semantic_fingerprint": "sha256:3be141ff10866b375b2ac9533e34f10e6cd0e2ad2c12a230bd5fb179c794a011", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003433", "prompt": "Calculate: 0 + (3 + (-62 + (-67) - 91) - (-9))", "solution_steps": ["Add: -62 + (-67) = -129", "Subtract: -129 - 91 = -220", "Add: 3 + (-220) = -217", "Subtract: -217 - (-9) = -208", "Add: 0 + (-208) = -208"], "final_answer": "-208", "answer_type": "integer", "kind": "expression", "math_text": "0 + (3 + (-62 + (-67) - 91) - (-9))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (+ n (- (+ n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 3, \"c\": -62, \"d\": -67, \"e\": 91, \"f\": -9}", "seed": "3838001921228659379", "semantic_fingerprint": "sha256:5fbd0200dcd96148c5e6b1fe636cf9c79cff0065feb397c30a2927b116798ba2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003434", "prompt": "Solve the equation -2(x + 714) - 16 = x - 85 for x.", "solution_steps": ["Expand: -2x - 1428 - 16 = x - 85", "Combine constants: -2x - 1444 = x - 85", "Subtract x from both sides: -3x - 1444 = -85", "Add 1444 to both sides: -3x = 1359", "Divide both sides by -3: x = -453"], "final_answer": "-453", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 714) - 16 = x - 85", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 714, \"c\": 16, \"d\": 85}", "seed": "1340483602900611163", "semantic_fingerprint": "sha256:f07d0ab7ce894d17e711f5162258355c9eb43453f6acd79e496d6b47b3b7cad6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003435", "prompt": "Evaluate: (-48 * 62 + 13) * (-281)", "solution_steps": ["Multiply: -48 * 62 = -2976", "Add: -2976 + 13 = -2963", "Multiply: -2963 * (-281) = 832603"], "final_answer": "832603", "answer_type": "integer", "kind": "expression", "math_text": "(-48 * 62 + 13) * (-281)", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": 62, \"c\": 13, \"d\": -281}", "seed": "9851623303387141732", "semantic_fingerprint": "sha256:2891abc84836cc442a7a10839e62e7b4d4c03ed189c85fcfc2139fdece138978", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003436", "prompt": "What value of x satisfies x - 709 = 12(x - 990) + 1?", "solution_steps": ["Expand: x - 709 = 12x - 11880 + 1", "Combine constants: x - 709 = 12x - 11879", "Subtract 12x from both sides: -11x - 709 = -11879", "Add 709 to both sides: -11x = -11170", "Divide both sides by -11: x = 11170/11"], "final_answer": "11170/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 709 = 12(x - 990) + 1", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 709, \"b\": 12, \"c\": 990, \"d\": 1}", "seed": "5129752317790190155", "semantic_fingerprint": "sha256:db7cadd9630e10d40d3d154fa492631036304d40e1d6baa22ef0bed7bb8c4245", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003437", "prompt": "Compute: -4 + (-4 / (-60) + (-31)) / (-3)", "solution_steps": ["Divide: -4 / (-60) = 1/15", "Add: 1/15 + (-31) = -464/15", "Divide: (-464/15) / (-3) = 464/45", "Add: -4 + 464/45 = 284/45"], "final_answer": "284/45", "answer_type": "rational", "kind": "expression", "math_text": "-4 + (-4 / (-60) + (-31)) / (-3)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (+ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -4, \"c\": -60, \"d\": -31, \"e\": -3}", "seed": "13793582244547515502", "semantic_fingerprint": "sha256:0d2bab3f8f3275ac9fd7be81e6b656e9987b5c2c1977474e61b30253c8d5fe53", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003438", "prompt": "Calculate: 4 * (450 * (-6 - 93))", "solution_steps": ["Subtract: -6 - 93 = -99", "Multiply: 450 * (-99) = -44550", "Multiply: 4 * (-44550) = -178200"], "final_answer": "-178200", "answer_type": "integer", "kind": "expression", "math_text": "4 * (450 * (-6 - 93))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 450, \"c\": -6, \"d\": 93}", "seed": "17682424327365076487", "semantic_fingerprint": "sha256:db4af27905c34a468533b29ef2a31f86d1d6a46cfb02fcf9df5ff7c2e5b8bada", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003439", "prompt": "Solve for x: 5(x - 9) - 6 = 8(x - 3)", "solution_steps": ["Expand: 5x - 45 - 6 = 8(x - 3)", "Expand: 5x - 45 - 6 = 8x - 24", "Combine constants: 5x - 51 = 8x - 24", "Subtract 8x from both sides: -3x - 51 = -24", "Add 51 to both sides: -3x = 27", "Divide both sides by -3: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 9) - 6 = 8(x - 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 6, \"d\": 8, \"e\": 3}", "seed": "909583599969801291", "semantic_fingerprint": "sha256:67eb62a61d0d757da0228f01076340c663ddd804fb3cab9876f7eb265b757691", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003440", "prompt": "Calculate: (947 + (-51) + 89) * 97", "solution_steps": ["Add: 947 + (-51) = 896", "Add: 896 + 89 = 985", "Multiply: 985 * 97 = 95545"], "final_answer": "95545", "answer_type": "integer", "kind": "expression", "math_text": "(947 + (-51) + 89) * 97", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 947, \"b\": -51, \"c\": 89, \"d\": 97}", "seed": "17765851019799041361", "semantic_fingerprint": "sha256:82612ff5708349455e5cf7d9a2f786d809e2e1f340e49ad40de26c22b8e6b1b7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003441", "prompt": "Solve the equation 9(x + 6) + 23 = 2(x + 174) - 208 for x.", "solution_steps": ["Expand: 9x + 54 + 23 = 2(x + 174) - 208", "Expand: 9x + 54 + 23 = 2x + 348 - 208", "Combine constants: 9x + 77 = 2x + 348 - 208", "Combine constants: 9x + 77 = 2x + 140", "Subtract 2x from both sides: 7x + 77 = 140", "Subtract 77 from both sides: 7x = 63", "Divide both sides by 7: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 6) + 23 = 2(x + 174) - 208", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": 23, \"d\": 2, \"e\": 174, \"g\": -208, \"x\": 9}", "seed": "1571472032226576494", "semantic_fingerprint": "sha256:66d90aa2e64f29c3103ebf71dec07b79ba159016409bc3ae35689098501b4e1a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003442", "prompt": "Solve for x: 5(x - 111) + 470 = 11(x - 17)", "solution_steps": ["Expand: 5x - 555 + 470 = 11(x - 17)", "Expand: 5x - 555 + 470 = 11x - 187", "Combine constants: 5x - 85 = 11x - 187", "Subtract 11x from both sides: -6x - 85 = -187", "Add 85 to both sides: -6x = -102", "Divide both sides by -6: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 111) + 470 = 11(x - 17)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 111, \"c\": 11, \"d\": 17, \"f\": 470, \"x\": 17}", "seed": "8150160136751862889", "semantic_fingerprint": "sha256:c0409ea1ba72ea5685bdad65205adb87c4258bdceb60cb580d66fc985c148ce6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003443", "prompt": "Evaluate: 26 + (101 + 49 - 6) - 0", "solution_steps": ["Add: 101 + 49 = 150", "Subtract: 150 - 6 = 144", "Add: 26 + 144 = 170", "Subtract: 170 - 0 = 170"], "final_answer": "170", "answer_type": "integer", "kind": "expression", "math_text": "26 + (101 + 49 - 6) - 0", "variable": null, "family": "expression_4op", "shape": "(- (+ n (- (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": 101, \"c\": 49, \"d\": 6, \"e\": 0}", "seed": "15712040045977951724", "semantic_fingerprint": "sha256:4eff88e66f4f65cc2b1fa1f89cdb87e7b7a9c03bc6b64786db0f25b40311af50", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003444", "prompt": "Evaluate: (5 - (-41)) * (-173 * 79)", "solution_steps": ["Subtract: 5 - (-41) = 46", "Multiply: -173 * 79 = -13667", "Multiply: 46 * (-13667) = -628682"], "final_answer": "-628682", "answer_type": "integer", "kind": "expression", "math_text": "(5 - (-41)) * (-173 * 79)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -41, \"c\": -173, \"d\": 79}", "seed": "8031620948478966378", "semantic_fingerprint": "sha256:1016b285ec0aa9f782ea6b7ca919496da3fe3178947e415c8f8dbae457a7818e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003445", "prompt": "Calculate: 0 + (-76) / (-28) / (-4)", "solution_steps": ["Divide: -76 / (-28) = 19/7", "Divide: (19/7) / (-4) = -19/28", "Add: 0 + (-19/28) = -19/28"], "final_answer": "-19/28", "answer_type": "rational", "kind": "expression", "math_text": "0 + (-76) / (-28) / (-4)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -76, \"c\": -28, \"d\": -4}", "seed": "6682811313343397610", "semantic_fingerprint": "sha256:a1d3d11856abedc0765b0d6127a82f537cffddf82f386e1d58985d344e971b08", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003446", "prompt": "What value of x satisfies x - 4 = 6(x - 49) + 190?", "solution_steps": ["Expand: x - 4 = 6x - 294 + 190", "Combine constants: x - 4 = 6x - 104", "Subtract 6x from both sides: -5x - 4 = -104", "Add 4 to both sides: -5x = -100", "Divide both sides by -5: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4 = 6(x - 49) + 190", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 49, \"e\": 190, \"x\": 20}", "seed": "13444561773958565949", "semantic_fingerprint": "sha256:a86954e14605139fffad63cc9c0369de1417ef99fa193888d15a6e6b3320c274", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003447", "prompt": "Calculate: -25 * (97 * (-18)) - (-40)", "solution_steps": ["Multiply: 97 * (-18) = -1746", "Multiply: -25 * (-1746) = 43650", "Subtract: 43650 - (-40) = 43690"], "final_answer": "43690", "answer_type": "integer", "kind": "expression", "math_text": "-25 * (97 * (-18)) - (-40)", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 97, \"c\": -18, \"d\": -40}", "seed": "2227561292401539466", "semantic_fingerprint": "sha256:4c3fb63d7799df7c507fafb04f76374ea8cea3cff7633fdab867996e0267ede0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003448", "prompt": "Calculate: 79 / (-68 - 551 - (-61))", "solution_steps": ["Subtract: -68 - 551 = -619", "Subtract: -619 - (-61) = -558", "Divide: 79 / (-558) = -79/558"], "final_answer": "-79/558", "answer_type": "rational", "kind": "expression", "math_text": "79 / (-68 - 551 - (-61))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": -68, \"c\": 551, \"d\": -61}", "seed": "9738580563140582949", "semantic_fingerprint": "sha256:dc7f83149b73b1f0158f8014662bb31deba90090dbb244250bd4499828cbdda1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003449", "prompt": "Solve the equation 7(x - 1) - 43 = 4(x - 5) for x.", "solution_steps": ["Expand: 7x - 7 - 43 = 4(x - 5)", "Expand: 7x - 7 - 43 = 4x - 20", "Combine constants: 7x - 50 = 4x - 20", "Subtract 4x from both sides: 3x - 50 = -20", "Add 50 to both sides: 3x = 30", "Divide both sides by 3: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 1) - 43 = 4(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 1, \"c\": 4, \"d\": 5, \"f\": -43, \"x\": 10}", "seed": "4727739390278900991", "semantic_fingerprint": "sha256:e6b46b7772e8fcf23bcc33f4053b1330765a3e88828b6c47fb9207bd3f90956a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003450", "prompt": "Solve the equation 12(x - 865) + 561 = 2x + 16 for x.", "solution_steps": ["Expand: 12x - 10380 + 561 = 2x + 16", "Combine constants: 12x - 9819 = 2x + 16", "Subtract 2x from both sides: 10x - 9819 = 16", "Add 9819 to both sides: 10x = 9835", "Divide both sides by 10: x = 1967/2"], "final_answer": "1967/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 865) + 561 = 2x + 16", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 865, \"c\": 561, \"d\": 2, \"e\": 16}", "seed": "7268583845837354008", "semantic_fingerprint": "sha256:0bc6de3b7bb0fa1eb44cb2daf87737a63ddf53fb3e5c3a960e3e00a9727d57d6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003451", "prompt": "What value of x satisfies x - 5 = 8(x - 130) + 569?", "solution_steps": ["Expand: x - 5 = 8x - 1040 + 569", "Combine constants: x - 5 = 8x - 471", "Subtract 8x from both sides: -7x - 5 = -471", "Add 5 to both sides: -7x = -466", "Divide both sides by -7: x = 466/7"], "final_answer": "466/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5 = 8(x - 130) + 569", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 130, \"d\": 569}", "seed": "5584004567124820237", "semantic_fingerprint": "sha256:6afe79fd3b567773f7671028eb448c9f856937172689a10bd8e8622f12cf4490", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003452", "prompt": "Calculate: -56 / (-95) + 65 / 6", "solution_steps": ["Divide: -56 / (-95) = 56/95", "Divide: 65 / 6 = 65/6", "Add: 56/95 + 65/6 = 6511/570"], "final_answer": "6511/570", "answer_type": "rational", "kind": "expression", "math_text": "-56 / (-95) + 65 / 6", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": -95, \"c\": 65, \"d\": 6}", "seed": "3219655159837393337", "semantic_fingerprint": "sha256:5fb87c45df6b4b429a2cf9f536f7c4bd6bbc64e8fc7012cebc4e0b3deb34867b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003453", "prompt": "Find x: 12(x - 2) - 28 = 10(x - 5)", "solution_steps": ["Expand: 12x - 24 - 28 = 10(x - 5)", "Expand: 12x - 24 - 28 = 10x - 50", "Combine constants: 12x - 52 = 10x - 50", "Subtract 10x from both sides: 2x - 52 = -50", "Add 52 to both sides: 2x = 2", "Divide both sides by 2: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 2) - 28 = 10(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 10, \"d\": 5, \"f\": -28, \"x\": 1}", "seed": "17152235576171293690", "semantic_fingerprint": "sha256:5abed8186eb180a0caa1811639c8f1b88df4133ca4e4d23d1ce56a650058f428", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003454", "prompt": "What is 9 + (-5) - (-4 + 534)?", "solution_steps": ["Add: 9 + (-5) = 4", "Add: -4 + 534 = 530", "Subtract: 4 - 530 = -526"], "final_answer": "-526", "answer_type": "integer", "kind": "expression", "math_text": "9 + (-5) - (-4 + 534)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -5, \"c\": -4, \"d\": 534}", "seed": "677115751993672089", "semantic_fingerprint": "sha256:51ad418517a0ea35f6f2329d895af441c2c0fbc61b6d688d1f6e326e986f0de0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003455", "prompt": "Compute: (78 - 404) * (-503 / 959)", "solution_steps": ["Subtract: 78 - 404 = -326", "Divide: -503 / 959 = -503/959", "Multiply: -326 * (-503/959) = 163978/959"], "final_answer": "163978/959", "answer_type": "rational", "kind": "expression", "math_text": "(78 - 404) * (-503 / 959)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": 404, \"c\": -503, \"d\": 959}", "seed": "6994256431602933145", "semantic_fingerprint": "sha256:7615800cce6f0362d0a565ecfe9cea79f918b6febaccc129def03aefb01c62f3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003456", "prompt": "Evaluate: 75 * (3 - (-17) + 90)", "solution_steps": ["Subtract: 3 - (-17) = 20", "Add: 20 + 90 = 110", "Multiply: 75 * 110 = 8250"], "final_answer": "8250", "answer_type": "integer", "kind": "expression", "math_text": "75 * (3 - (-17) + 90)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 3, \"c\": -17, \"d\": 90}", "seed": "14635714930800880434", "semantic_fingerprint": "sha256:de6430bdc2930a97776838280b6eabdada7b459cf38a9986d0255ea16abba42a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003457", "prompt": "Compute: 0 + 3 - (30 - 8) + 0", "solution_steps": ["Add: 0 + 3 = 3", "Subtract: 30 - 8 = 22", "Subtract: 3 - 22 = -19", "Add: -19 + 0 = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "expression", "math_text": "0 + 3 - (30 - 8) + 0", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 3, \"c\": 30, \"d\": 8, \"e\": 0}", "seed": "10511603370178071544", "semantic_fingerprint": "sha256:f379068191f225976e28934022a02a006fbf09a6a8790bd3a5841164c134b9b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003458", "prompt": "Evaluate: 89 / (315 / (243 * (-53)))", "solution_steps": ["Multiply: 243 * (-53) = -12879", "Divide: 315 / (-12879) = -35/1431", "Divide: 89 / (-35/1431) = -127359/35"], "final_answer": "-127359/35", "answer_type": "rational", "kind": "expression", "math_text": "89 / (315 / (243 * (-53)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": 315, \"c\": 243, \"d\": -53}", "seed": "4546402006035742444", "semantic_fingerprint": "sha256:095abc695428daa8387cf72a156290e97c4ba19fbcdc5520d15bada20ca4fc3c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003459", "prompt": "Solve the equation x - 37 = 5(x - 81) + 7 for x.", "solution_steps": ["Expand: x - 37 = 5x - 405 + 7", "Combine constants: x - 37 = 5x - 398", "Subtract 5x from both sides: -4x - 37 = -398", "Add 37 to both sides: -4x = -361", "Divide both sides by -4: x = 361/4"], "final_answer": "361/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 37 = 5(x - 81) + 7", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": 5, \"c\": 81, \"d\": 7}", "seed": "9614180214989759509", "semantic_fingerprint": "sha256:0807a9a1abd99ca6234262fef4ebd825fbe2b9e71bcfd328191eae3b06d79652", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003460", "prompt": "Find x: 12(x - 81) - 98 = 6(x - 2) - 3", "solution_steps": ["Expand: 12x - 972 - 98 = 6(x - 2) - 3", "Expand: 12x - 972 - 98 = 6x - 12 - 3", "Combine constants: 12x - 1070 = 6x - 12 - 3", "Combine constants: 12x - 1070 = 6x - 15", "Subtract 6x from both sides: 6x - 1070 = -15", "Add 1070 to both sides: 6x = 1055", "Divide both sides by 6: x = 1055/6"], "final_answer": "1055/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 81) - 98 = 6(x - 2) - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 81, \"c\": 98, \"d\": 6, \"e\": 2, \"f\": 3}", "seed": "1013305581941074330", "semantic_fingerprint": "sha256:e6a4c5771ec43a230b683cc47676144b9642c2a86a2431c9186e02e962b943c9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003461", "prompt": "What value of x satisfies -2(x - 3) - 7 = 7(x - 6) - 76?", "solution_steps": ["Expand: -2x + 6 - 7 = 7(x - 6) - 76", "Expand: -2x + 6 - 7 = 7x - 42 - 76", "Combine constants: -2x - 1 = 7x - 42 - 76", "Combine constants: -2x - 1 = 7x - 118", "Subtract 7x from both sides: -9x - 1 = -118", "Add 1 to both sides: -9x = -117", "Divide both sides by -9: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 3) - 7 = 7(x - 6) - 76", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 3, \"c\": 7, \"d\": 7, \"e\": 6, \"g\": -76, \"x\": 13}", "seed": "3305696337206425400", "semantic_fingerprint": "sha256:8afe6e918532bfa2bc0f81b8ebf3f66b3ee7e9d1d014dc8e0ae5b872341f89db", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003462", "prompt": "Compute: 80 / 395 - (25 * 57 + (-19))", "solution_steps": ["Divide: 80 / 395 = 16/79", "Multiply: 25 * 57 = 1425", "Add: 1425 + (-19) = 1406", "Subtract: 16/79 - 1406 = -111058/79"], "final_answer": "-111058/79", "answer_type": "rational", "kind": "expression", "math_text": "80 / 395 - (25 * 57 + (-19))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": 395, \"c\": 25, \"d\": 57, \"e\": -19}", "seed": "749945848235235549", "semantic_fingerprint": "sha256:6e7fdaea150dc3fa20d506f5688bf18081790d01ca4fabf3d1489e0e00a83fe0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003463", "prompt": "Evaluate: 830 - (-708 + (-75) - 117 + 872 / 77)", "solution_steps": ["Add: -708 + (-75) = -783", "Subtract: -783 - 117 = -900", "Divide: 872 / 77 = 872/77", "Add: -900 + 872/77 = -68428/77", "Subtract: 830 - (-68428/77) = 132338/77"], "final_answer": "132338/77", "answer_type": "rational", "kind": "expression", "math_text": "830 - (-708 + (-75) - 117 + 872 / 77)", "variable": null, "family": "expression_5op", "shape": "(- n (+ (- (+ n n) n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 830, \"b\": -708, \"c\": -75, \"d\": 117, \"e\": 872, \"f\": 77}", "seed": "8424018034522590272", "semantic_fingerprint": "sha256:7b9faacb44647df2e64d92fff261bdc9b74c3213eb1d66c382b4b74732531cf5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003464", "prompt": "What value of x satisfies 2(x + 216) + 363 = 10(x + 97) - 231?", "solution_steps": ["Expand: 2x + 432 + 363 = 10(x + 97) - 231", "Expand: 2x + 432 + 363 = 10x + 970 - 231", "Combine constants: 2x + 795 = 10x + 970 - 231", "Combine constants: 2x + 795 = 10x + 739", "Subtract 10x from both sides: -8x + 795 = 739", "Subtract 795 from both sides: -8x = -56", "Divide both sides by -8: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 216) + 363 = 10(x + 97) - 231", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 216, \"c\": 363, \"d\": 10, \"e\": 97, \"g\": -231, \"x\": 7}", "seed": "16866926617274500705", "semantic_fingerprint": "sha256:29966697725b0d3a2102676ebe0afcd924bcb919e245bfb93ec000343df81e5d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003465", "prompt": "Solve the equation 9(x - 82) = 5x - 694 for x.", "solution_steps": ["Expand: 9x - 738 = 5x - 694", "Subtract 5x from both sides: 4x - 738 = -694", "Add 738 to both sides: 4x = 44", "Divide both sides by 4: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 82) = 5x - 694", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 82, \"c\": 5, \"e\": -694, \"x\": 11}", "seed": "10956937802761188202", "semantic_fingerprint": "sha256:84972e1fb82132e0f075193771795f99e8181f1f812d7173ac64b7fd244f0077", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003466", "prompt": "Evaluate: 1 * 5 / 71 / (-53)", "solution_steps": ["Multiply: 1 * 5 = 5", "Divide: 5 / 71 = 5/71", "Divide: (5/71) / (-53) = -5/3763"], "final_answer": "-5/3763", "answer_type": "rational", "kind": "expression", "math_text": "1 * 5 / 71 / (-53)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 5, \"c\": 71, \"d\": -53}", "seed": "8391953470670351668", "semantic_fingerprint": "sha256:28efb62d08f6f36fdc1b8fc8032e9dac32162404c92760e76e8f741012a2f157", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003467", "prompt": "Compute: 5 * 2 + (-563) * (-5) / 44", "solution_steps": ["Multiply: 5 * 2 = 10", "Multiply: -563 * (-5) = 2815", "Divide: 2815 / 44 = 2815/44", "Add: 10 + 2815/44 = 3255/44"], "final_answer": "3255/44", "answer_type": "rational", "kind": "expression", "math_text": "5 * 2 + (-563) * (-5) / 44", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": -563, \"d\": -5, \"e\": 44}", "seed": "11751952981654894917", "semantic_fingerprint": "sha256:5b31717f437606b6f2e2ede6f1aabd4ef27248e2382b52f82ea02e4e58a90d12", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003468", "prompt": "What value of x satisfies 10x - 61 = 11(x + 2) + 57?", "solution_steps": ["Expand: 10x - 61 = 11x + 22 + 57", "Combine constants: 10x - 61 = 11x + 79", "Subtract 11x from both sides: -x - 61 = 79", "Add 61 to both sides: -x = 140", "Divide both sides by -1: x = -140"], "final_answer": "-140", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 61 = 11(x + 2) + 57", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 61, \"c\": 11, \"d\": 2, \"e\": 57}", "seed": "4912574505817601177", "semantic_fingerprint": "sha256:daae2ae9ec37c2890055a3224a0744ceaeaa877778dc2dbd85bc7b32bd7cdfc9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003469", "prompt": "Solve for x: 3(x - 5) - 91 = -10(x - 57) - 559", "solution_steps": ["Expand: 3x - 15 - 91 = -10(x - 57) - 559", "Expand: 3x - 15 - 91 = -10x + 570 - 559", "Combine constants: 3x - 106 = -10x + 570 - 559", "Combine constants: 3x - 106 = -10x + 11", "Add 10x to both sides: 13x - 106 = 11", "Add 106 to both sides: 13x = 117", "Divide both sides by 13: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 5) - 91 = -10(x - 57) - 559", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": 91, \"d\": -10, \"e\": 57, \"g\": -559, \"x\": 9}", "seed": "15423850143622632843", "semantic_fingerprint": "sha256:9b8f158460b5c38f2f20237ead7f9f95c624f38e55d36d5851cccf4b49c1f3fb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003470", "prompt": "Evaluate: (9 + (-400) + 506) * (-8)", "solution_steps": ["Add: 9 + (-400) = -391", "Add: -391 + 506 = 115", "Multiply: 115 * (-8) = -920"], "final_answer": "-920", "answer_type": "integer", "kind": "expression", "math_text": "(9 + (-400) + 506) * (-8)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -400, \"c\": 506, \"d\": -8}", "seed": "3293686665958278442", "semantic_fingerprint": "sha256:a68b44a9967591ad26704de6f18ba08408a1bad1ac7ab2b7f8016a518b53c482", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003471", "prompt": "Evaluate: -46 * 321 / (-809 + (-65))", "solution_steps": ["Multiply: -46 * 321 = -14766", "Add: -809 + (-65) = -874", "Divide: -14766 / (-874) = 321/19"], "final_answer": "321/19", "answer_type": "rational", "kind": "expression", "math_text": "-46 * 321 / (-809 + (-65))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": 321, \"c\": -809, \"d\": -65}", "seed": "695070043502149621", "semantic_fingerprint": "sha256:fa3eccc95195fec48215e9a2601c087a5060ef8953a1c781e9b471d085f77f48", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003472", "prompt": "Solve for x: 3(x + 39) + 37 = 9(x + 10) - 5", "solution_steps": ["Expand: 3x + 117 + 37 = 9(x + 10) - 5", "Expand: 3x + 117 + 37 = 9x + 90 - 5", "Combine constants: 3x + 154 = 9x + 90 - 5", "Combine constants: 3x + 154 = 9x + 85", "Subtract 9x from both sides: -6x + 154 = 85", "Subtract 154 from both sides: -6x = -69", "Divide both sides by -6: x = 23/2"], "final_answer": "23/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 39) + 37 = 9(x + 10) - 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 39, \"c\": 37, \"d\": 9, \"e\": 10, \"f\": 5}", "seed": "4666380685832720240", "semantic_fingerprint": "sha256:e5809162734120aa00f842a9088ba5844f1ed5875d73dbbbf20c41abe1bc584c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003473", "prompt": "Compute: 663 * (437 - (-5) + 9)", "solution_steps": ["Subtract: 437 - (-5) = 442", "Add: 442 + 9 = 451", "Multiply: 663 * 451 = 299013"], "final_answer": "299013", "answer_type": "integer", "kind": "expression", "math_text": "663 * (437 - (-5) + 9)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 663, \"b\": 437, \"c\": -5, \"d\": 9}", "seed": "5479841479871175778", "semantic_fingerprint": "sha256:7b4c32a8f7748cf56655f885019a1c10d5c61343e661a87b821fc1f51eb71623", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003474", "prompt": "Solve for x: 11(x - 7) + 613 = -8(x - 67)", "solution_steps": ["Expand: 11x - 77 + 613 = -8(x - 67)", "Expand: 11x - 77 + 613 = -8x + 536", "Combine constants: 11x + 536 = -8x + 536", "Add 8x to both sides: 19x + 536 = 536", "Subtract 536 from both sides: 19x = 0", "Divide both sides by 19: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 7) + 613 = -8(x - 67)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": -8, \"d\": 67, \"f\": 613, \"x\": 0}", "seed": "1859248461908122411", "semantic_fingerprint": "sha256:c1a4134d15aa5d119699d1dba3fb7cb2749dba776e0eaac84f5bb3f5995cc56d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003475", "prompt": "Solve for x: -4(x - 816) - 27 = -10(x - 76) - 691", "solution_steps": ["Expand: -4x + 3264 - 27 = -10(x - 76) - 691", "Expand: -4x + 3264 - 27 = -10x + 760 - 691", "Combine constants: -4x + 3237 = -10x + 760 - 691", "Combine constants: -4x + 3237 = -10x + 69", "Add 10x to both sides: 6x + 3237 = 69", "Subtract 3237 from both sides: 6x = -3168", "Divide both sides by 6: x = -528"], "final_answer": "-528", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 816) - 27 = -10(x - 76) - 691", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 816, \"c\": 27, \"d\": -10, \"e\": 76, \"f\": 691}", "seed": "17315480703307758990", "semantic_fingerprint": "sha256:0adcf155cc4463c57adbeb30a27ba501afe65632baaf70f7c01e34558733a28f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003476", "prompt": "Compute: 1 - (-898) / (549 / (-70))", "solution_steps": ["Divide: 549 / (-70) = -549/70", "Divide: -898 / (-549/70) = 62860/549", "Subtract: 1 - 62860/549 = -62311/549"], "final_answer": "-62311/549", "answer_type": "rational", "kind": "expression", "math_text": "1 - (-898) / (549 / (-70))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -898, \"c\": 549, \"d\": -70}", "seed": "8200751347482141564", "semantic_fingerprint": "sha256:990eaa3759a8ac65d880b2875e126bda056026ad80e6a1263b7e3dad2baafcd2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003477", "prompt": "What is -7 + (-125) - (-8 + 97)?", "solution_steps": ["Add: -7 + (-125) = -132", "Add: -8 + 97 = 89", "Subtract: -132 - 89 = -221"], "final_answer": "-221", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (-125) - (-8 + 97)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -125, \"c\": -8, \"d\": 97}", "seed": "8262243598451600250", "semantic_fingerprint": "sha256:8b518f2d411cc92dddad8dc8322125be3ce0644e9c2e35bed5a859ba425e0156", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003478", "prompt": "Solve for x: -5(x - 82) + 2 = 5(x + 85) - 113", "solution_steps": ["Expand: -5x + 410 + 2 = 5(x + 85) - 113", "Expand: -5x + 410 + 2 = 5x + 425 - 113", "Combine constants: -5x + 412 = 5x + 425 - 113", "Combine constants: -5x + 412 = 5x + 312", "Subtract 5x from both sides: -10x + 412 = 312", "Subtract 412 from both sides: -10x = -100", "Divide both sides by -10: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 82) + 2 = 5(x + 85) - 113", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 82, \"c\": 2, \"d\": 5, \"e\": 85, \"g\": -113, \"x\": 10}", "seed": "5734720154261000950", "semantic_fingerprint": "sha256:8601f80c016301621d2868e6e0013860eab662abac45ff91ae650a758c645384", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003479", "prompt": "Evaluate: (-58 - 84) * (-21 * (-23))", "solution_steps": ["Subtract: -58 - 84 = -142", "Multiply: -21 * (-23) = 483", "Multiply: -142 * 483 = -68586"], "final_answer": "-68586", "answer_type": "integer", "kind": "expression", "math_text": "(-58 - 84) * (-21 * (-23))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": 84, \"c\": -21, \"d\": -23}", "seed": "2788119582571137678", "semantic_fingerprint": "sha256:1c20d9d0f1ed06c7c4034d610dbba7a8b31d09097bdffe0bdb1aedabd8a20615", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003480", "prompt": "Solve the equation 4(x - 1) + 2 = 6x + 16 for x.", "solution_steps": ["Expand: 4x - 4 + 2 = 6x + 16", "Combine constants: 4x - 2 = 6x + 16", "Subtract 6x from both sides: -2x - 2 = 16", "Add 2 to both sides: -2x = 18", "Divide both sides by -2: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 1) + 2 = 6x + 16", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 2, \"d\": 6, \"f\": 16, \"x\": -9}", "seed": "3682960978706002150", "semantic_fingerprint": "sha256:5b686d9ab9577b96b34fbb1b46fb97e476b819fa2a457e5c434c66b0699334d2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003481", "prompt": "Evaluate: (-24 + (-36)) / (-1 / (-67))", "solution_steps": ["Add: -24 + (-36) = -60", "Divide: -1 / (-67) = 1/67", "Divide: -60 / (1/67) = -4020"], "final_answer": "-4020", "answer_type": "integer", "kind": "expression", "math_text": "(-24 + (-36)) / (-1 / (-67))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": -36, \"c\": -1, \"d\": -67}", "seed": "5453401302642673647", "semantic_fingerprint": "sha256:680dc3302817374fd89bbb04dee1526b3a8393c2c6eb4d49bea452a767dd1af9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003482", "prompt": "Solve the equation 6(x - 96) - 89 = 12(x - 87) - 763 for x.", "solution_steps": ["Expand: 6x - 576 - 89 = 12(x - 87) - 763", "Expand: 6x - 576 - 89 = 12x - 1044 - 763", "Combine constants: 6x - 665 = 12x - 1044 - 763", "Combine constants: 6x - 665 = 12x - 1807", "Subtract 12x from both sides: -6x - 665 = -1807", "Add 665 to both sides: -6x = -1142", "Divide both sides by -6: x = 571/3"], "final_answer": "571/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 96) - 89 = 12(x - 87) - 763", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 96, \"c\": 89, \"d\": 12, \"e\": 87, \"f\": 763}", "seed": "11912386706342368606", "semantic_fingerprint": "sha256:2356cee0cb549795ab84a73ace72f53b91c0dce2859c9eee8fc52905d40da46e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003483", "prompt": "Calculate: -7 + (-456) - 582 + 38", "solution_steps": ["Add: -7 + (-456) = -463", "Subtract: -463 - 582 = -1045", "Add: -1045 + 38 = -1007"], "final_answer": "-1007", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (-456) - 582 + 38", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -456, \"c\": 582, \"d\": 38}", "seed": "8088559977041199312", "semantic_fingerprint": "sha256:dbb43b139b42cbd05bff7b935ffab2f353d38b6b4b0ca27de6b2c0c499b30f2b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003484", "prompt": "Solve for x: -6(x - 9) = 2x - 69", "solution_steps": ["Expand: -6x + 54 = 2x - 69", "Subtract 2x from both sides: -8x + 54 = -69", "Subtract 54 from both sides: -8x = -123", "Divide both sides by -8: x = 123/8"], "final_answer": "123/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 9) = 2x - 69", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 9, \"c\": 2, \"d\": 69}", "seed": "6409523083022367354", "semantic_fingerprint": "sha256:f39e96beb98ac1a28cbd2e9821befb7ccbe19a2e085e2d3370c443aa2de9b1fa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003485", "prompt": "Find x: x - 6 = 12(x - 75) + 784", "solution_steps": ["Expand: x - 6 = 12x - 900 + 784", "Combine constants: x - 6 = 12x - 116", "Subtract 12x from both sides: -11x - 6 = -116", "Add 6 to both sides: -11x = -110", "Divide both sides by -11: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6 = 12(x - 75) + 784", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 12, \"c\": 75, \"e\": 784, \"x\": 10}", "seed": "14541179501537191498", "semantic_fingerprint": "sha256:56acac9c263eb3efcf8c8d32c8498b42ec88c109dbe98f3e9d555e7d004e29d8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003486", "prompt": "Calculate: (-84 - 5) / (19 * 24)", "solution_steps": ["Subtract: -84 - 5 = -89", "Multiply: 19 * 24 = 456", "Divide: -89 / 456 = -89/456"], "final_answer": "-89/456", "answer_type": "rational", "kind": "expression", "math_text": "(-84 - 5) / (19 * 24)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": 5, \"c\": 19, \"d\": 24}", "seed": "7561381314010118829", "semantic_fingerprint": "sha256:aab2a515cfe435f7be27cf6f3885a3b09fb3687f295f66138075a4d688f5e417", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003487", "prompt": "Find x: 3(x - 7) - 8 = -11(x - 27) - 158", "solution_steps": ["Expand: 3x - 21 - 8 = -11(x - 27) - 158", "Expand: 3x - 21 - 8 = -11x + 297 - 158", "Combine constants: 3x - 29 = -11x + 297 - 158", "Combine constants: 3x - 29 = -11x + 139", "Add 11x to both sides: 14x - 29 = 139", "Add 29 to both sides: 14x = 168", "Divide both sides by 14: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 7) - 8 = -11(x - 27) - 158", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 8, \"d\": -11, \"e\": 27, \"g\": -158, \"x\": 12}", "seed": "8730112937741407897", "semantic_fingerprint": "sha256:d0ad1c12b161579db56b7528c58840eb37e3df7076a8cea6869140b6f100cc78", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003488", "prompt": "Solve the equation 6(x + 35) + 49 = 10(x + 75) - 411 for x.", "solution_steps": ["Expand: 6x + 210 + 49 = 10(x + 75) - 411", "Expand: 6x + 210 + 49 = 10x + 750 - 411", "Combine constants: 6x + 259 = 10x + 750 - 411", "Combine constants: 6x + 259 = 10x + 339", "Subtract 10x from both sides: -4x + 259 = 339", "Subtract 259 from both sides: -4x = 80", "Divide both sides by -4: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 35) + 49 = 10(x + 75) - 411", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 35, \"c\": 49, \"d\": 10, \"e\": 75, \"g\": -411, \"x\": -20}", "seed": "2768509090021208642", "semantic_fingerprint": "sha256:94220fa4791cd00356d4e953b1657619753bf297229d38ebebf91e5e4e8ac79b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003489", "prompt": "Calculate: (755 - (-1)) / (-48 * 3)", "solution_steps": ["Subtract: 755 - (-1) = 756", "Multiply: -48 * 3 = -144", "Divide: 756 / (-144) = -21/4"], "final_answer": "-21/4", "answer_type": "rational", "kind": "expression", "math_text": "(755 - (-1)) / (-48 * 3)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 755, \"b\": -1, \"c\": -48, \"d\": 3}", "seed": "14161991192941286156", "semantic_fingerprint": "sha256:9bc24153599a39ac2d01b95721c840b224b9a4ed0af1baa7313d605a0de56831", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003490", "prompt": "Compute: -55 / (78 + (-51)) * (-60) / 423", "solution_steps": ["Add: 78 + (-51) = 27", "Divide: -55 / 27 = -55/27", "Multiply: (-55/27) * (-60) = 1100/9", "Divide: (1100/9) / 423 = 1100/3807"], "final_answer": "1100/3807", "answer_type": "rational", "kind": "expression", "math_text": "-55 / (78 + (-51)) * (-60) / 423", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 78, \"c\": -51, \"d\": -60, \"e\": 423}", "seed": "9179929882251340043", "semantic_fingerprint": "sha256:71989246a73648e1cae5d5a4bd5bae6f72456840eee84e74b993985897f331fd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003491", "prompt": "Find x: x - 3 = 3(x - 8) + 61", "solution_steps": ["Expand: x - 3 = 3x - 24 + 61", "Combine constants: x - 3 = 3x + 37", "Subtract 3x from both sides: -2x - 3 = 37", "Add 3 to both sides: -2x = 40", "Divide both sides by -2: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3 = 3(x - 8) + 61", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 8, \"d\": 61}", "seed": "16425929455527542889", "semantic_fingerprint": "sha256:5fac47c7547e9cedd9debfbfd7fe1ce370f9d30559f0e1f95ab882a1c549d8a0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003492", "prompt": "Solve for x: -12x - 78 = -6(x + 26) + 126", "solution_steps": ["Expand: -12x - 78 = -6x - 156 + 126", "Combine constants: -12x - 78 = -6x - 30", "Add 6x to both sides: -6x - 78 = -30", "Add 78 to both sides: -6x = 48", "Divide both sides by -6: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 78 = -6(x + 26) + 126", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 78, \"c\": -6, \"d\": 26, \"f\": 126, \"x\": -8}", "seed": "10830372336568432442", "semantic_fingerprint": "sha256:b84c7afa5fedff468f1f1d1f585d9e8ad21c5ac90e53292ecf16b128ce1f4f51", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003493", "prompt": "What value of x satisfies 9(x - 446) + 4 = 6x + 4?", "solution_steps": ["Expand: 9x - 4014 + 4 = 6x + 4", "Combine constants: 9x - 4010 = 6x + 4", "Subtract 6x from both sides: 3x - 4010 = 4", "Add 4010 to both sides: 3x = 4014", "Divide both sides by 3: x = 1338"], "final_answer": "1338", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 446) + 4 = 6x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 446, \"c\": 4, \"d\": 6, \"e\": 4}", "seed": "16048973698060710740", "semantic_fingerprint": "sha256:d54a4f9196b0e58e2c23f568baf7ff33c279289dadbd87668c7cc96d2774bcd4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003494", "prompt": "Evaluate: (9 - (0 + 5)) / (733 - (-83))", "solution_steps": ["Add: 0 + 5 = 5", "Subtract: 9 - 5 = 4", "Subtract: 733 - (-83) = 816", "Divide: 4 / 816 = 1/204"], "final_answer": "1/204", "answer_type": "rational", "kind": "expression", "math_text": "(9 - (0 + 5)) / (733 - (-83))", "variable": null, "family": "expression_4op", "shape": "(/ (- n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 0, \"c\": 5, \"d\": 733, \"e\": -83}", "seed": "5677054090876046813", "semantic_fingerprint": "sha256:a85e9932702c0f62fbf22f267ebb465e1288952485d7cdea3d0d48ca869bebb9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003495", "prompt": "What is 44 + (-18 + 8) - (-19)?", "solution_steps": ["Add: -18 + 8 = -10", "Add: 44 + (-10) = 34", "Subtract: 34 - (-19) = 53"], "final_answer": "53", "answer_type": "integer", "kind": "expression", "math_text": "44 + (-18 + 8) - (-19)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": -18, \"c\": 8, \"d\": -19}", "seed": "4006892261860366051", "semantic_fingerprint": "sha256:8ebe41bcff5ea08dc2c286e3940c29b0fef007b206b61358e39c2d0b61addfb4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003496", "prompt": "Find x: -5(x - 81) = 6x - 7", "solution_steps": ["Expand: -5x + 405 = 6x - 7", "Subtract 6x from both sides: -11x + 405 = -7", "Subtract 405 from both sides: -11x = -412", "Divide both sides by -11: x = 412/11"], "final_answer": "412/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 81) = 6x - 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 81, \"c\": 6, \"d\": 7}", "seed": "2143061513134614396", "semantic_fingerprint": "sha256:21e54a308e02d8043574103f4a950b6743012cc3865513207210452dd11f6933", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003497", "prompt": "Compute: 733 - (-297 + 753) - 939 / (-249) * 164", "solution_steps": ["Add: -297 + 753 = 456", "Subtract: 733 - 456 = 277", "Divide: 939 / (-249) = -313/83", "Multiply: (-313/83) * 164 = -51332/83", "Subtract: 277 - (-51332/83) = 74323/83"], "final_answer": "74323/83", "answer_type": "rational", "kind": "expression", "math_text": "733 - (-297 + 753) - 939 / (-249) * 164", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ n n)) (* (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 733, \"b\": -297, \"c\": 753, \"d\": 939, \"e\": -249, \"f\": 164}", "seed": "18284851029554032584", "semantic_fingerprint": "sha256:e7bfa1a86de8e295515fd38c7ddb9fdc12825c24e5481a3c3c9989570167c20d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003498", "prompt": "Solve the equation 11(x - 5) + 7 = -8x + 9 for x.", "solution_steps": ["Expand: 11x - 55 + 7 = -8x + 9", "Combine constants: 11x - 48 = -8x + 9", "Add 8x to both sides: 19x - 48 = 9", "Add 48 to both sides: 19x = 57", "Divide both sides by 19: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 5) + 7 = -8x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": 7, \"d\": -8, \"f\": 9, \"x\": 3}", "seed": "17418398962634833384", "semantic_fingerprint": "sha256:43c88f3715cd6219cb534a6e4772bec7aec4a1a740840e612b37bee6c5078038", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003499", "prompt": "Evaluate: -20 + 1 - 31 + (-99)", "solution_steps": ["Add: -20 + 1 = -19", "Subtract: -19 - 31 = -50", "Add: -50 + (-99) = -149"], "final_answer": "-149", "answer_type": "integer", "kind": "expression", "math_text": "-20 + 1 - 31 + (-99)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 1, \"c\": 31, \"d\": -99}", "seed": "4085466529168714188", "semantic_fingerprint": "sha256:88d8aa4633195a8072cff6a76240c4c8eb8597bc0ec3b215f43c36fd9ad578af", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003500", "prompt": "What is (-153 + (-3)) * (17 - 6 - (-66))?", "solution_steps": ["Add: -153 + (-3) = -156", "Subtract: 17 - 6 = 11", "Subtract: 11 - (-66) = 77", "Multiply: -156 * 77 = -12012"], "final_answer": "-12012", "answer_type": "integer", "kind": "expression", "math_text": "(-153 + (-3)) * (17 - 6 - (-66))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -153, \"b\": -3, \"c\": 17, \"d\": 6, \"e\": -66}", "seed": "8188787173234882708", "semantic_fingerprint": "sha256:88dae32158ee3a98513d5523a10e3b533b4df5f1c9477c6ad3a0e20a741ce5ac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003501", "prompt": "Evaluate: 7 + (-36 / (-66) + (0 - 85 / 96))", "solution_steps": ["Divide: -36 / (-66) = 6/11", "Divide: 85 / 96 = 85/96", "Subtract: 0 - 85/96 = -85/96", "Add: 6/11 + (-85/96) = -359/1056", "Add: 7 + (-359/1056) = 7033/1056"], "final_answer": "7033/1056", "answer_type": "rational", "kind": "expression", "math_text": "7 + (-36 / (-66) + (0 - 85 / 96))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (/ n n) (- n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -36, \"c\": -66, \"d\": 0, \"e\": 85, \"f\": 96}", "seed": "10253727624740981350", "semantic_fingerprint": "sha256:a0e185361cc6723b12689856e99e1f07a6fe1f7aa42180d427de57bb234dea42", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003502", "prompt": "What value of x satisfies 8x - 28 = 3(x + 38) + 776?", "solution_steps": ["Expand: 8x - 28 = 3x + 114 + 776", "Combine constants: 8x - 28 = 3x + 890", "Subtract 3x from both sides: 5x - 28 = 890", "Add 28 to both sides: 5x = 918", "Divide both sides by 5: x = 918/5"], "final_answer": "918/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 28 = 3(x + 38) + 776", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 28, \"c\": 3, \"d\": 38, \"e\": 776}", "seed": "12631441220142618715", "semantic_fingerprint": "sha256:4124bbc2cce2c024e2efdd46a42a6b368da04e8e86ac426de98b80bfa65e9545", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003503", "prompt": "Compute: 69 + (57 + (-88) * (-18)) / 81", "solution_steps": ["Multiply: -88 * (-18) = 1584", "Add: 57 + 1584 = 1641", "Divide: 1641 / 81 = 547/27", "Add: 69 + 547/27 = 2410/27"], "final_answer": "2410/27", "answer_type": "rational", "kind": "expression", "math_text": "69 + (57 + (-88) * (-18)) / 81", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (+ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 57, \"c\": -88, \"d\": -18, \"e\": 81}", "seed": "6574269793586533530", "semantic_fingerprint": "sha256:fc7f347c5d8340d1e41f51cba13fb4bd8691472402b49d9abdb2fe13e9191990", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003504", "prompt": "Compute: (-60 - 795) * (9 * (-26))", "solution_steps": ["Subtract: -60 - 795 = -855", "Multiply: 9 * (-26) = -234", "Multiply: -855 * (-234) = 200070"], "final_answer": "200070", "answer_type": "integer", "kind": "expression", "math_text": "(-60 - 795) * (9 * (-26))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": 795, \"c\": 9, \"d\": -26}", "seed": "16254959422620284315", "semantic_fingerprint": "sha256:7eaa6d567dbfd505023b4f0fec7a09d032a16eeae12e721386afc24ab5493bf3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003505", "prompt": "Calculate: (9 / (-13) - 29) / (-64 - (-8))", "solution_steps": ["Divide: 9 / (-13) = -9/13", "Subtract: -9/13 - 29 = -386/13", "Subtract: -64 - (-8) = -56", "Divide: (-386/13) / (-56) = 193/364"], "final_answer": "193/364", "answer_type": "rational", "kind": "expression", "math_text": "(9 / (-13) - 29) / (-64 - (-8))", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -13, \"c\": 29, \"d\": -64, \"e\": -8}", "seed": "7704408749956004414", "semantic_fingerprint": "sha256:f64d33b75fd5aacd1aef91595cfe3174d90b70396ff18175447602b00ee54360", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003506", "prompt": "Evaluate: 922 + (90 + (25 + (-6) - 2) - 6)", "solution_steps": ["Add: 25 + (-6) = 19", "Subtract: 19 - 2 = 17", "Add: 90 + 17 = 107", "Subtract: 107 - 6 = 101", "Add: 922 + 101 = 1023"], "final_answer": "1023", "answer_type": "integer", "kind": "expression", "math_text": "922 + (90 + (25 + (-6) - 2) - 6)", "variable": null, "family": "expression_5op", "shape": "(+ n (- (+ n (- (+ n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 922, \"b\": 90, \"c\": 25, \"d\": -6, \"e\": 2, \"f\": 6}", "seed": "16720508449505019429", "semantic_fingerprint": "sha256:9e48f49bc7af3dc817ccefd68348ee7b56b21cc07674369e57839eb50eeb3dfa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003507", "prompt": "What is 7 + (5 / 7 - (-4) - (-778))?", "solution_steps": ["Divide: 5 / 7 = 5/7", "Subtract: 5/7 - (-4) = 33/7", "Subtract: 33/7 - (-778) = 5479/7", "Add: 7 + 5479/7 = 5528/7"], "final_answer": "5528/7", "answer_type": "rational", "kind": "expression", "math_text": "7 + (5 / 7 - (-4) - (-778))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (- (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 7, \"d\": -4, \"e\": -778}", "seed": "11530292608277681440", "semantic_fingerprint": "sha256:29b386a96db782d9f38008223ee27d39fbd2f7cf0ea7de76bda3fad72d806b70", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003508", "prompt": "What is -83 - (78 - (-16 - (-82)))?", "solution_steps": ["Subtract: -16 - (-82) = 66", "Subtract: 78 - 66 = 12", "Subtract: -83 - 12 = -95"], "final_answer": "-95", "answer_type": "integer", "kind": "expression", "math_text": "-83 - (78 - (-16 - (-82)))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": 78, \"c\": -16, \"d\": -82}", "seed": "1051181097892742107", "semantic_fingerprint": "sha256:785e283cccf3b048ad3b96c6c024d3ac9684b201a2d913fdad9d61bbfd7c355e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003509", "prompt": "Find x: 10(x + 4) - 77 = x - 874", "solution_steps": ["Expand: 10x + 40 - 77 = x - 874", "Combine constants: 10x - 37 = x - 874", "Subtract x from both sides: 9x - 37 = -874", "Add 37 to both sides: 9x = -837", "Divide both sides by 9: x = -93"], "final_answer": "-93", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 4) - 77 = x - 874", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 77, \"d\": 874}", "seed": "15678595856870095477", "semantic_fingerprint": "sha256:71c3e7b65f6668b86c5650e6b2d5fa7ee46e793b44ecd25264e628a90368fc11", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003510", "prompt": "Evaluate: -972 / 748 - (10 - (-10)) * 5 + 516", "solution_steps": ["Divide: -972 / 748 = -243/187", "Subtract: 10 - (-10) = 20", "Multiply: 20 * 5 = 100", "Subtract: -243/187 - 100 = -18943/187", "Add: -18943/187 + 516 = 77549/187"], "final_answer": "77549/187", "answer_type": "rational", "kind": "expression", "math_text": "-972 / 748 - (10 - (-10)) * 5 + 516", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n n) (* (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -972, \"b\": 748, \"c\": 10, \"d\": -10, \"e\": 5, \"f\": 516}", "seed": "13745371744773349930", "semantic_fingerprint": "sha256:2fcfc85f9987ae417e878086d5ab0e3ff5f4a8e532c190f75174759f14d22582", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003511", "prompt": "What is -970 + 71 - (859 + 32)?", "solution_steps": ["Add: -970 + 71 = -899", "Add: 859 + 32 = 891", "Subtract: -899 - 891 = -1790"], "final_answer": "-1790", "answer_type": "integer", "kind": "expression", "math_text": "-970 + 71 - (859 + 32)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -970, \"b\": 71, \"c\": 859, \"d\": 32}", "seed": "10443549001291813570", "semantic_fingerprint": "sha256:9b43acf5baa2eb4fde4d4ed0c4e639827c87a5a211cc0df2e56fb49195ee3408", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003512", "prompt": "Calculate: 81 - 75 + (-79) * (-58 + 41)", "solution_steps": ["Subtract: 81 - 75 = 6", "Add: -58 + 41 = -17", "Multiply: -79 * (-17) = 1343", "Add: 6 + 1343 = 1349"], "final_answer": "1349", "answer_type": "integer", "kind": "expression", "math_text": "81 - 75 + (-79) * (-58 + 41)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 75, \"c\": -79, \"d\": -58, \"e\": 41}", "seed": "18326860433781746525", "semantic_fingerprint": "sha256:98f82bab58deb27c37a4c0941515b7ff96e7da030181b301bcb9ab896a3d2060", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003513", "prompt": "Solve the equation x - 6 = 11(x - 9) + 871 for x.", "solution_steps": ["Expand: x - 6 = 11x - 99 + 871", "Combine constants: x - 6 = 11x + 772", "Subtract 11x from both sides: -10x - 6 = 772", "Add 6 to both sides: -10x = 778", "Divide both sides by -10: x = -389/5"], "final_answer": "-389/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 6 = 11(x - 9) + 871", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 11, \"c\": 9, \"d\": 871}", "seed": "16320140470164036350", "semantic_fingerprint": "sha256:f1fd524301d5f78c130684794e50a46a5597ae34ce4712370fe27206b6f8d80d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003514", "prompt": "Solve the equation 2(x - 83) = -9x - 300 for x.", "solution_steps": ["Expand: 2x - 166 = -9x - 300", "Add 9x to both sides: 11x - 166 = -300", "Add 166 to both sides: 11x = -134", "Divide both sides by 11: x = -134/11"], "final_answer": "-134/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 83) = -9x - 300", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 83, \"c\": -9, \"d\": 300}", "seed": "12482232466221398862", "semantic_fingerprint": "sha256:529e0da1ce117ca414ed0bc1523096b916f1fec8e08819a27652b96acfe0aff7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003515", "prompt": "Solve for x: -6(x + 1) + 1 = 10(x + 12) - 381", "solution_steps": ["Expand: -6x - 6 + 1 = 10(x + 12) - 381", "Expand: -6x - 6 + 1 = 10x + 120 - 381", "Combine constants: -6x - 5 = 10x + 120 - 381", "Combine constants: -6x - 5 = 10x - 261", "Subtract 10x from both sides: -16x - 5 = -261", "Add 5 to both sides: -16x = -256", "Divide both sides by -16: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 1) + 1 = 10(x + 12) - 381", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 1, \"c\": 1, \"d\": 10, \"e\": 12, \"g\": -381, \"x\": 16}", "seed": "8039802958039705155", "semantic_fingerprint": "sha256:490d0dad3d7529dd368f5e4ed4ca8b56984984f1ecb5520b8fd89971d40b574f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003516", "prompt": "Find x: 7(x - 24) = 4x - 108", "solution_steps": ["Expand: 7x - 168 = 4x - 108", "Subtract 4x from both sides: 3x - 168 = -108", "Add 168 to both sides: 3x = 60", "Divide both sides by 3: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 24) = 4x - 108", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 24, \"c\": 4, \"e\": -108, \"x\": 20}", "seed": "3147071888499210541", "semantic_fingerprint": "sha256:2e452fca4a002ed526c85a585699e2c0c7602636afe9a80855287ed3028684fc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003517", "prompt": "What value of x satisfies 8(x + 5) - 391 = x - 295?", "solution_steps": ["Expand: 8x + 40 - 391 = x - 295", "Combine constants: 8x - 351 = x - 295", "Subtract x from both sides: 7x - 351 = -295", "Add 351 to both sides: 7x = 56", "Divide both sides by 7: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 5) - 391 = x - 295", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"c\": 391, \"e\": -295, \"x\": 8}", "seed": "5127657826508177277", "semantic_fingerprint": "sha256:8a5e9b2e3713a4c30df93872f05e87dead340ac863f5494bb428b33d2c343ed8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003518", "prompt": "What value of x satisfies 9(x - 8) = 8x - 1?", "solution_steps": ["Expand: 9x - 72 = 8x - 1", "Subtract 8x from both sides: x - 72 = -1", "Add 72 to both sides: x = 71"], "final_answer": "71", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 8) = 8x - 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 8, \"d\": 1}", "seed": "6770872233952651852", "semantic_fingerprint": "sha256:f2b634a3af244945bccfb0de97f8a76ffe2c6ff6364df00b63a63aa75955590b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003519", "prompt": "Compute: -999 - 720 + (-284 - 0) - 34", "solution_steps": ["Subtract: -999 - 720 = -1719", "Subtract: -284 - 0 = -284", "Add: -1719 + (-284) = -2003", "Subtract: -2003 - 34 = -2037"], "final_answer": "-2037", "answer_type": "integer", "kind": "expression", "math_text": "-999 - 720 + (-284 - 0) - 34", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -999, \"b\": 720, \"c\": -284, \"d\": 0, \"e\": 34}", "seed": "7780464672448467641", "semantic_fingerprint": "sha256:ab64f95378e999c458a482da0a0ef65a7c0ce2b294744fc625f31ad3a01cdafc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003520", "prompt": "Solve the equation 12(x - 92) + 5 = -11(x + 45) - 268 for x.", "solution_steps": ["Expand: 12x - 1104 + 5 = -11(x + 45) - 268", "Expand: 12x - 1104 + 5 = -11x - 495 - 268", "Combine constants: 12x - 1099 = -11x - 495 - 268", "Combine constants: 12x - 1099 = -11x - 763", "Add 11x to both sides: 23x - 1099 = -763", "Add 1099 to both sides: 23x = 336", "Divide both sides by 23: x = 336/23"], "final_answer": "336/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 92) + 5 = -11(x + 45) - 268", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 92, \"c\": 5, \"d\": -11, \"e\": 45, \"f\": 268}", "seed": "5324033948022060452", "semantic_fingerprint": "sha256:93819ef4d418c56ec82d2979da182f1edb9131eca65edeb9dc2ebd9b52039f52", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003521", "prompt": "Evaluate: (7 - 3 + 5) * 7", "solution_steps": ["Subtract: 7 - 3 = 4", "Add: 4 + 5 = 9", "Multiply: 9 * 7 = 63"], "final_answer": "63", "answer_type": "integer", "kind": "expression", "math_text": "(7 - 3 + 5) * 7", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"c\": 5, \"d\": 7}", "seed": "15189965881214021744", "semantic_fingerprint": "sha256:f009c00296777f45099e85f62c10d99b64a880684ede6f161fab8c642ecbb011", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003522", "prompt": "What is -7 * (141 / (-67) - 3 - (-589))?", "solution_steps": ["Divide: 141 / (-67) = -141/67", "Subtract: -141/67 - 3 = -342/67", "Subtract: -342/67 - (-589) = 39121/67", "Multiply: -7 * (39121/67) = -273847/67"], "final_answer": "-273847/67", "answer_type": "rational", "kind": "expression", "math_text": "-7 * (141 / (-67) - 3 - (-589))", "variable": null, "family": "expression_4op", "shape": "(* n (- (- (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 141, \"c\": -67, \"d\": 3, \"e\": -589}", "seed": "2221956440563729242", "semantic_fingerprint": "sha256:a5be1296c19368bcf0f61cec985a8ea9edec1e3131768817512171b47ddeb715", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003523", "prompt": "Solve for x: -8(x + 70) + 40 = 4(x + 6) - 805", "solution_steps": ["Expand: -8x - 560 + 40 = 4(x + 6) - 805", "Expand: -8x - 560 + 40 = 4x + 24 - 805", "Combine constants: -8x - 520 = 4x + 24 - 805", "Combine constants: -8x - 520 = 4x - 781", "Subtract 4x from both sides: -12x - 520 = -781", "Add 520 to both sides: -12x = -261", "Divide both sides by -12: x = 87/4"], "final_answer": "87/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 70) + 40 = 4(x + 6) - 805", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 70, \"c\": 40, \"d\": 4, \"e\": 6, \"f\": 805}", "seed": "5531206083513023860", "semantic_fingerprint": "sha256:2833144acf7e09fca896e667433e37619a44e8c09f6432600695e27edca3e5d3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003524", "prompt": "Solve for x: 5(x - 5) - 179 = 4(x - 8) - 189", "solution_steps": ["Expand: 5x - 25 - 179 = 4(x - 8) - 189", "Expand: 5x - 25 - 179 = 4x - 32 - 189", "Combine constants: 5x - 204 = 4x - 32 - 189", "Combine constants: 5x - 204 = 4x - 221", "Subtract 4x from both sides: x - 204 = -221", "Add 204 to both sides: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 5) - 179 = 4(x - 8) - 189", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 5, \"c\": 179, \"d\": 4, \"e\": 8, \"g\": -189, \"x\": -17}", "seed": "17271974872787470688", "semantic_fingerprint": "sha256:a96bd84fd07ce49e2eefa52a868e6e618aebe3c384e36d86e5f0cf3470d707ac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003525", "prompt": "Compute: 99 - 39 + (0 / 27 - (-10 - (-823)))", "solution_steps": ["Subtract: 99 - 39 = 60", "Divide: 0 / 27 = 0", "Subtract: -10 - (-823) = 813", "Subtract: 0 - 813 = -813", "Add: 60 + (-813) = -753"], "final_answer": "-753", "answer_type": "integer", "kind": "expression", "math_text": "99 - 39 + (0 / 27 - (-10 - (-823)))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (- (/ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": 39, \"c\": 0, \"d\": 27, \"e\": -10, \"f\": -823}", "seed": "3074460009047631057", "semantic_fingerprint": "sha256:97620c08e60c1ca67447102368e1b77652f0a3f9fb6be62e0e501d90e950d2e1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003526", "prompt": "Solve for x: 7(x - 28) + 218 = 5x + 20", "solution_steps": ["Expand: 7x - 196 + 218 = 5x + 20", "Combine constants: 7x + 22 = 5x + 20", "Subtract 5x from both sides: 2x + 22 = 20", "Subtract 22 from both sides: 2x = -2", "Divide both sides by 2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 28) + 218 = 5x + 20", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 28, \"c\": 218, \"d\": 5, \"f\": 20, \"x\": -1}", "seed": "4657068160094045877", "semantic_fingerprint": "sha256:a5191099f6c56940370eeec9fffb1629311ddb98b3f51cf128a79fee1efcdf5b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003527", "prompt": "Compute: -50 + 99 - 755 / 1 + 264", "solution_steps": ["Add: -50 + 99 = 49", "Divide: 755 / 1 = 755", "Subtract: 49 - 755 = -706", "Add: -706 + 264 = -442"], "final_answer": "-442", "answer_type": "integer", "kind": "expression", "math_text": "-50 + 99 - 755 / 1 + 264", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": 99, \"c\": 755, \"d\": 1, \"e\": 264}", "seed": "9386306928820884449", "semantic_fingerprint": "sha256:4c92b4cca1ba521b16e2f776a34b4f1642781b6555bf5ec2f9ebcf9ec035e0d2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003528", "prompt": "Solve for x: -6(x - 4) + 42 = 8(x + 5) - 1", "solution_steps": ["Expand: -6x + 24 + 42 = 8(x + 5) - 1", "Expand: -6x + 24 + 42 = 8x + 40 - 1", "Combine constants: -6x + 66 = 8x + 40 - 1", "Combine constants: -6x + 66 = 8x + 39", "Subtract 8x from both sides: -14x + 66 = 39", "Subtract 66 from both sides: -14x = -27", "Divide both sides by -14: x = 27/14"], "final_answer": "27/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 4) + 42 = 8(x + 5) - 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4, \"c\": 42, \"d\": 8, \"e\": 5, \"f\": 1}", "seed": "14745886925686942699", "semantic_fingerprint": "sha256:b6095c53fcae37f24656206ea8f5fcb4896274fb0c4d9525fa518e31ffea45d3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003529", "prompt": "Calculate: (9 + (-321) * (-771) / 87) / (-36)", "solution_steps": ["Multiply: -321 * (-771) = 247491", "Divide: 247491 / 87 = 82497/29", "Add: 9 + 82497/29 = 82758/29", "Divide: (82758/29) / (-36) = -13793/174"], "final_answer": "-13793/174", "answer_type": "rational", "kind": "expression", "math_text": "(9 + (-321) * (-771) / 87) / (-36)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (/ (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -321, \"c\": -771, \"d\": 87, \"e\": -36}", "seed": "3439622838113553331", "semantic_fingerprint": "sha256:88242727014c864fabc78df89f2b993150d00ece8bf8e5e005f559950ddb2b29", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003530", "prompt": "What value of x satisfies x - 51 = -12(x - 2) + 874?", "solution_steps": ["Expand: x - 51 = -12x + 24 + 874", "Combine constants: x - 51 = -12x + 898", "Add 12x to both sides: 13x - 51 = 898", "Add 51 to both sides: 13x = 949", "Divide both sides by 13: x = 73"], "final_answer": "73", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 51 = -12(x - 2) + 874", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -12, \"c\": 2, \"d\": 874}", "seed": "1808308688163515869", "semantic_fingerprint": "sha256:7699013ceb6d4b2af45d5791e51c9c9456766ab0ef8247f145cab254dfe7a486", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003531", "prompt": "Evaluate: 0 / (-7 - (-83 - 92) * (-35))", "solution_steps": ["Subtract: -83 - 92 = -175", "Multiply: -175 * (-35) = 6125", "Subtract: -7 - 6125 = -6132", "Divide: 0 / (-6132) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-7 - (-83 - 92) * (-35))", "variable": null, "family": "expression_4op", "shape": "(/ n (- n (* (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -7, \"c\": -83, \"d\": 92, \"e\": -35}", "seed": "16092063577866570169", "semantic_fingerprint": "sha256:16b53a452c3c2e6f34ba3bbe2b37210435bdb7f77664a98318d74b40e6847ca8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003532", "prompt": "Solve the equation x - 77 = 6(x - 17) + 2 for x.", "solution_steps": ["Expand: x - 77 = 6x - 102 + 2", "Combine constants: x - 77 = 6x - 100", "Subtract 6x from both sides: -5x - 77 = -100", "Add 77 to both sides: -5x = -23", "Divide both sides by -5: x = 23/5"], "final_answer": "23/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 77 = 6(x - 17) + 2", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 6, \"c\": 17, \"d\": 2}", "seed": "10975501806666801165", "semantic_fingerprint": "sha256:14b0ae61264d73814bc13112a5085e43a0555504eb133ed0dd357c283710618e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003533", "prompt": "Compute: 0 + 380 - (679 + 102)", "solution_steps": ["Add: 0 + 380 = 380", "Add: 679 + 102 = 781", "Subtract: 380 - 781 = -401"], "final_answer": "-401", "answer_type": "integer", "kind": "expression", "math_text": "0 + 380 - (679 + 102)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 380, \"c\": 679, \"d\": 102}", "seed": "11139341642184271626", "semantic_fingerprint": "sha256:558a5b3b989908bf8eb8e62f4a6ce420ebc8a111f77ea51cd1011fcd8cf59a0a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003534", "prompt": "Calculate: 188 + (-860) - (-598) - 72 + (-59)", "solution_steps": ["Add: 188 + (-860) = -672", "Subtract: -672 - (-598) = -74", "Subtract: -74 - 72 = -146", "Add: -146 + (-59) = -205"], "final_answer": "-205", "answer_type": "integer", "kind": "expression", "math_text": "188 + (-860) - (-598) - 72 + (-59)", "variable": null, "family": "expression_4op", "shape": "(+ (- (- (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 188, \"b\": -860, \"c\": -598, \"d\": 72, \"e\": -59}", "seed": "16591973961062087390", "semantic_fingerprint": "sha256:69aea89850f4dcb36881ae6bb7802e3e090f6f197495bfe2a96c6bc490f9eb29", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003535", "prompt": "Compute: -3 + 5 - (-26 - 3 - (574 + (-315)))", "solution_steps": ["Add: -3 + 5 = 2", "Subtract: -26 - 3 = -29", "Add: 574 + (-315) = 259", "Subtract: -29 - 259 = -288", "Subtract: 2 - (-288) = 290"], "final_answer": "290", "answer_type": "integer", "kind": "expression", "math_text": "-3 + 5 - (-26 - 3 - (574 + (-315)))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (- (- n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 5, \"c\": -26, \"d\": 3, \"e\": 574, \"f\": -315}", "seed": "13292193711929600162", "semantic_fingerprint": "sha256:d73d1f3d88b35521a9c2ab9356e0294a8f3a09a628246eb7ca73795ba1cc2837", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003536", "prompt": "Calculate: (2 + 79 - 1 / 4) / 72", "solution_steps": ["Add: 2 + 79 = 81", "Divide: 1 / 4 = 1/4", "Subtract: 81 - 1/4 = 323/4", "Divide: (323/4) / 72 = 323/288"], "final_answer": "323/288", "answer_type": "rational", "kind": "expression", "math_text": "(2 + 79 - 1 / 4) / 72", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 79, \"c\": 1, \"d\": 4, \"e\": 72}", "seed": "14901990642475215027", "semantic_fingerprint": "sha256:b13f29b92b7af6027878ae36192b3a8c4313c011d9286d06da3846012bba1990", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003537", "prompt": "Evaluate: 73 / (6 / (-49 - 7 / (-155)))", "solution_steps": ["Divide: 7 / (-155) = -7/155", "Subtract: -49 - (-7/155) = -7588/155", "Divide: 6 / (-7588/155) = -465/3794", "Divide: 73 / (-465/3794) = -276962/465"], "final_answer": "-276962/465", "answer_type": "rational", "kind": "expression", "math_text": "73 / (6 / (-49 - 7 / (-155)))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ n (- n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 6, \"c\": -49, \"d\": 7, \"e\": -155}", "seed": "16994550801517322144", "semantic_fingerprint": "sha256:9e85e66ba78c6903be20333d9f6eca01f3d63566ed05918536f2af59f25406bf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003538", "prompt": "Evaluate: 892 + (67 / 8 + (-9)) + 1", "solution_steps": ["Divide: 67 / 8 = 67/8", "Add: 67/8 + (-9) = -5/8", "Add: 892 + (-5/8) = 7131/8", "Add: 7131/8 + 1 = 7139/8"], "final_answer": "7139/8", "answer_type": "rational", "kind": "expression", "math_text": "892 + (67 / 8 + (-9)) + 1", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 892, \"b\": 67, \"c\": 8, \"d\": -9, \"e\": 1}", "seed": "7910937008650296723", "semantic_fingerprint": "sha256:03f832a70c7912a017d368528b13ab22c9ccef82d7460705da9c913a65f8f3cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003539", "prompt": "Solve the equation 12(x - 8) + 138 = 2(x - 9) for x.", "solution_steps": ["Expand: 12x - 96 + 138 = 2(x - 9)", "Expand: 12x - 96 + 138 = 2x - 18", "Combine constants: 12x + 42 = 2x - 18", "Subtract 2x from both sides: 10x + 42 = -18", "Subtract 42 from both sides: 10x = -60", "Divide both sides by 10: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 8) + 138 = 2(x - 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"c\": 2, \"d\": 9, \"f\": 138, \"x\": -6}", "seed": "8238305605441839097", "semantic_fingerprint": "sha256:e5433d4be82f93b58cb9e7a8453adca0a7b75ca06b9fe67097ce97e373ca824c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003540", "prompt": "What is -4 - (-7 + (-23)) / 98 / (-4)?", "solution_steps": ["Add: -7 + (-23) = -30", "Divide: -30 / 98 = -15/49", "Divide: (-15/49) / (-4) = 15/196", "Subtract: -4 - 15/196 = -799/196"], "final_answer": "-799/196", "answer_type": "rational", "kind": "expression", "math_text": "-4 - (-7 + (-23)) / 98 / (-4)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (/ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -7, \"c\": -23, \"d\": 98, \"e\": -4}", "seed": "2099606045402619179", "semantic_fingerprint": "sha256:3ba114002cee259cec9b365d3551cdb4f6ce245712cf97eaf48b6771e6f4d2f5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003541", "prompt": "Evaluate: (-4 - 7) * 73 * (-41)", "solution_steps": ["Subtract: -4 - 7 = -11", "Multiply: -11 * 73 = -803", "Multiply: -803 * (-41) = 32923"], "final_answer": "32923", "answer_type": "integer", "kind": "expression", "math_text": "(-4 - 7) * 73 * (-41)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 7, \"c\": 73, \"d\": -41}", "seed": "7850023851895656070", "semantic_fingerprint": "sha256:713f4a8058a5c1d9f727cb0bd4559a3416d1a444c9e2279e6072fe75cb09063e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003542", "prompt": "Evaluate: 95 + 50 - (-65 + (-7))", "solution_steps": ["Add: 95 + 50 = 145", "Add: -65 + (-7) = -72", "Subtract: 145 - (-72) = 217"], "final_answer": "217", "answer_type": "integer", "kind": "expression", "math_text": "95 + 50 - (-65 + (-7))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": 50, \"c\": -65, \"d\": -7}", "seed": "8002640894449444012", "semantic_fingerprint": "sha256:657b99f764ac7bcb81b3619df00ebeecdbe31bdaa64ff170e8f0d4153509466e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003543", "prompt": "Solve the equation 4(x - 88) + 55 = 2(x + 77) - 455 for x.", "solution_steps": ["Expand: 4x - 352 + 55 = 2(x + 77) - 455", "Expand: 4x - 352 + 55 = 2x + 154 - 455", "Combine constants: 4x - 297 = 2x + 154 - 455", "Combine constants: 4x - 297 = 2x - 301", "Subtract 2x from both sides: 2x - 297 = -301", "Add 297 to both sides: 2x = -4", "Divide both sides by 2: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 88) + 55 = 2(x + 77) - 455", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 88, \"c\": 55, \"d\": 2, \"e\": 77, \"g\": -455, \"x\": -2}", "seed": "13218488225346584508", "semantic_fingerprint": "sha256:03a6ed9cfa149e74ac2edda56a301fdd3c8c1328a617571ec5a64507093d7c8c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003544", "prompt": "Solve the equation 3(x - 8) = 6x - 30 for x.", "solution_steps": ["Expand: 3x - 24 = 6x - 30", "Subtract 6x from both sides: -3x - 24 = -30", "Add 24 to both sides: -3x = -6", "Divide both sides by -3: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 8) = 6x - 30", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 6, \"e\": -30, \"x\": 2}", "seed": "10327277018697043064", "semantic_fingerprint": "sha256:d29b4fa0e1f0669e207de7f5c2fde954c0303fd137cdad9b7abed2bcf7adf552", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003545", "prompt": "Solve for x: 11(x - 54) = 3x - 25", "solution_steps": ["Expand: 11x - 594 = 3x - 25", "Subtract 3x from both sides: 8x - 594 = -25", "Add 594 to both sides: 8x = 569", "Divide both sides by 8: x = 569/8"], "final_answer": "569/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 54) = 3x - 25", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 54, \"c\": 3, \"d\": 25}", "seed": "10003654694967335827", "semantic_fingerprint": "sha256:0b1e605d426ab2434e242b1a5e5068c73aa3bdc8ba989e5797c289106a6df385", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003546", "prompt": "Solve for x: -2(x - 8) + 88 = 12x + 496", "solution_steps": ["Expand: -2x + 16 + 88 = 12x + 496", "Combine constants: -2x + 104 = 12x + 496", "Subtract 12x from both sides: -14x + 104 = 496", "Subtract 104 from both sides: -14x = 392", "Divide both sides by -14: x = -28"], "final_answer": "-28", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 8) + 88 = 12x + 496", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 8, \"c\": 88, \"d\": 12, \"e\": 496}", "seed": "5408437000693772994", "semantic_fingerprint": "sha256:43c5f4eff880539f8edb1fcdad10a1aabc793db53a7515266760358142c2dd90", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003547", "prompt": "Calculate: -9 - (15 * 223 + (-15))", "solution_steps": ["Multiply: 15 * 223 = 3345", "Add: 3345 + (-15) = 3330", "Subtract: -9 - 3330 = -3339"], "final_answer": "-3339", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (15 * 223 + (-15))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 15, \"c\": 223, \"d\": -15}", "seed": "10873422547367509522", "semantic_fingerprint": "sha256:3235e2cd36e6e62a48b709ad5e4e602cc692eb2837d6dac63ea11015a67fb343", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003548", "prompt": "Solve for x: 5(x - 7) = 12x - 112", "solution_steps": ["Expand: 5x - 35 = 12x - 112", "Subtract 12x from both sides: -7x - 35 = -112", "Add 35 to both sides: -7x = -77", "Divide both sides by -7: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 7) = 12x - 112", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": 12, \"e\": -112, \"x\": 11}", "seed": "9886920835983330051", "semantic_fingerprint": "sha256:318b3f22687f034f65f0b096a0268d0103e62bb96b7431bcc8ccd329b3fda58d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003549", "prompt": "Compute: 203 + (-713) / 341 - 0 * (83 * (-3))", "solution_steps": ["Divide: -713 / 341 = -23/11", "Add: 203 + (-23/11) = 2210/11", "Multiply: 83 * (-3) = -249", "Multiply: 0 * (-249) = 0", "Subtract: 2210/11 - 0 = 2210/11"], "final_answer": "2210/11", "answer_type": "rational", "kind": "expression", "math_text": "203 + (-713) / 341 - 0 * (83 * (-3))", "variable": null, "family": "expression_5op", "shape": "(- (+ n (/ n n)) (* n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 203, \"b\": -713, \"c\": 341, \"d\": 0, \"e\": 83, \"f\": -3}", "seed": "9025418663618228386", "semantic_fingerprint": "sha256:38fc0bd8541013bfafcadcf6e9aab45cdae37b09a0cfe0d5c577ca493756a963", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003550", "prompt": "Calculate: 0 / 7 / (-90 * 623) - 86 / (-13)", "solution_steps": ["Divide: 0 / 7 = 0", "Multiply: -90 * 623 = -56070", "Divide: 0 / (-56070) = 0", "Divide: 86 / (-13) = -86/13", "Subtract: 0 - (-86/13) = 86/13"], "final_answer": "86/13", "answer_type": "rational", "kind": "expression", "math_text": "0 / 7 / (-90 * 623) - 86 / (-13)", "variable": null, "family": "expression_5op", "shape": "(- (/ (/ n n) (* n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 7, \"c\": -90, \"d\": 623, \"e\": 86, \"f\": -13}", "seed": "1196731162822543577", "semantic_fingerprint": "sha256:f104f0bd13c97ce22f3f195918cb5e8ff72a6c8985097b91b0afbe1c6f2cf452", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003551", "prompt": "Evaluate: -553 * (-33) + 7 * 260 / 6", "solution_steps": ["Multiply: -553 * (-33) = 18249", "Multiply: 7 * 260 = 1820", "Divide: 1820 / 6 = 910/3", "Add: 18249 + 910/3 = 55657/3"], "final_answer": "55657/3", "answer_type": "rational", "kind": "expression", "math_text": "-553 * (-33) + 7 * 260 / 6", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -553, \"b\": -33, \"c\": 7, \"d\": 260, \"e\": 6}", "seed": "14769687226571922602", "semantic_fingerprint": "sha256:8ea446149f369ae22ed248e8b0a68591e7422dbfd395c31db97b1005c5f4d28d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003552", "prompt": "Solve the equation 11(x - 80) + 59 = 10(x - 81) for x.", "solution_steps": ["Expand: 11x - 880 + 59 = 10(x - 81)", "Expand: 11x - 880 + 59 = 10x - 810", "Combine constants: 11x - 821 = 10x - 810", "Subtract 10x from both sides: x - 821 = -810", "Add 821 to both sides: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 80) + 59 = 10(x - 81)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 80, \"c\": 10, \"d\": 81, \"f\": 59, \"x\": 11}", "seed": "15788501840707049489", "semantic_fingerprint": "sha256:799cc41427d2c0a81b4160caf378502455a3f2c7f6e7a4c070c9e1e3981142eb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003553", "prompt": "Evaluate: (72 - (-5)) * (-46 * 5)", "solution_steps": ["Subtract: 72 - (-5) = 77", "Multiply: -46 * 5 = -230", "Multiply: 77 * (-230) = -17710"], "final_answer": "-17710", "answer_type": "integer", "kind": "expression", "math_text": "(72 - (-5)) * (-46 * 5)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": -5, \"c\": -46, \"d\": 5}", "seed": "14644689329087111446", "semantic_fingerprint": "sha256:62be3229d8cda68a6f467c4fad5ce998e81b0e328be655f13bb9ce0156f94939", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003554", "prompt": "What value of x satisfies -6(x - 2) + 98 = -10x + 186?", "solution_steps": ["Expand: -6x + 12 + 98 = -10x + 186", "Combine constants: -6x + 110 = -10x + 186", "Add 10x to both sides: 4x + 110 = 186", "Subtract 110 from both sides: 4x = 76", "Divide both sides by 4: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 2) + 98 = -10x + 186", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 2, \"c\": 98, \"d\": -10, \"f\": 186, \"x\": 19}", "seed": "10357088091141752167", "semantic_fingerprint": "sha256:e294fe5685be74ac141b0e6c7ad982adee39756c85857b92df63eb17acf14db2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003555", "prompt": "Compute: -244 / (-90) / ((33 + 67) / (-96 + 934))", "solution_steps": ["Divide: -244 / (-90) = 122/45", "Add: 33 + 67 = 100", "Add: -96 + 934 = 838", "Divide: 100 / 838 = 50/419", "Divide: (122/45) / (50/419) = 25559/1125"], "final_answer": "25559/1125", "answer_type": "rational", "kind": "expression", "math_text": "-244 / (-90) / ((33 + 67) / (-96 + 934))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n n) (/ (+ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -244, \"b\": -90, \"c\": 33, \"d\": 67, \"e\": -96, \"f\": 934}", "seed": "15606645685064701069", "semantic_fingerprint": "sha256:2adf6e1a5470484ab52a851333d224149da034354e45d629aaea6cb20475e89f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003556", "prompt": "Compute: (0 - 991) / (-68 * (-39))", "solution_steps": ["Subtract: 0 - 991 = -991", "Multiply: -68 * (-39) = 2652", "Divide: -991 / 2652 = -991/2652"], "final_answer": "-991/2652", "answer_type": "rational", "kind": "expression", "math_text": "(0 - 991) / (-68 * (-39))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 991, \"c\": -68, \"d\": -39}", "seed": "5965299278748942355", "semantic_fingerprint": "sha256:426ab30b44bfcf6c8d4ee55f219a809eb1bc1bc536eb621f19a60557daaf67a1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003557", "prompt": "What is 6 + 50 - (-1) + (-54)?", "solution_steps": ["Add: 6 + 50 = 56", "Subtract: 56 - (-1) = 57", "Add: 57 + (-54) = 3"], "final_answer": "3", "answer_type": "integer", "kind": "expression", "math_text": "6 + 50 - (-1) + (-54)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 50, \"c\": -1, \"d\": -54}", "seed": "9395607541376949017", "semantic_fingerprint": "sha256:7c4069e979d6fc1e2be777168171d7f2177fbf8f19e77212c8ebae8d8ce653b0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003558", "prompt": "Calculate: -11 + (215 * (-34) - (-2))", "solution_steps": ["Multiply: 215 * (-34) = -7310", "Subtract: -7310 - (-2) = -7308", "Add: -11 + (-7308) = -7319"], "final_answer": "-7319", "answer_type": "integer", "kind": "expression", "math_text": "-11 + (215 * (-34) - (-2))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 215, \"c\": -34, \"d\": -2}", "seed": "5310898582351320984", "semantic_fingerprint": "sha256:bcbc8d9f198ae47339fb85ddc0e068efffae92c134c3ec703db9e69a7437e24e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003559", "prompt": "Solve for x: -8(x + 67) + 5 = 11(x + 9) - 858", "solution_steps": ["Expand: -8x - 536 + 5 = 11(x + 9) - 858", "Expand: -8x - 536 + 5 = 11x + 99 - 858", "Combine constants: -8x - 531 = 11x + 99 - 858", "Combine constants: -8x - 531 = 11x - 759", "Subtract 11x from both sides: -19x - 531 = -759", "Add 531 to both sides: -19x = -228", "Divide both sides by -19: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 67) + 5 = 11(x + 9) - 858", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 67, \"c\": 5, \"d\": 11, \"e\": 9, \"g\": -858, \"x\": 12}", "seed": "2482212310441937087", "semantic_fingerprint": "sha256:acf565b6ec70b0a59af5d90a60592b5375babfe2cadaad5c8846454d94021854", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003560", "prompt": "Calculate: 8 / (-94 * (-40) / 11)", "solution_steps": ["Multiply: -94 * (-40) = 3760", "Divide: 3760 / 11 = 3760/11", "Divide: 8 / (3760/11) = 11/470"], "final_answer": "11/470", "answer_type": "rational", "kind": "expression", "math_text": "8 / (-94 * (-40) / 11)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -94, \"c\": -40, \"d\": 11}", "seed": "13833699121849488074", "semantic_fingerprint": "sha256:0707dd518ba6b8dc333fd7636395c5d55aed9de9ddcb936ae90a96a3e5fe664b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003561", "prompt": "Compute: -13 * (7 / 53 / 50)", "solution_steps": ["Divide: 7 / 53 = 7/53", "Divide: (7/53) / 50 = 7/2650", "Multiply: -13 * (7/2650) = -91/2650"], "final_answer": "-91/2650", "answer_type": "rational", "kind": "expression", "math_text": "-13 * (7 / 53 / 50)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 7, \"c\": 53, \"d\": 50}", "seed": "15387732607097882840", "semantic_fingerprint": "sha256:0f1a76393908c277919f9b6c81b843f92c6eb8baea1fea2ce7532d30539428df", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003562", "prompt": "What is -255 * (-6) * (-85) / (99 + (-24))?", "solution_steps": ["Multiply: -255 * (-6) = 1530", "Multiply: 1530 * (-85) = -130050", "Add: 99 + (-24) = 75", "Divide: -130050 / 75 = -1734"], "final_answer": "-1734", "answer_type": "integer", "kind": "expression", "math_text": "-255 * (-6) * (-85) / (99 + (-24))", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -255, \"b\": -6, \"c\": -85, \"d\": 99, \"e\": -24}", "seed": "11702031465038840455", "semantic_fingerprint": "sha256:c2f5e6f1dcd45feda8baade5a003a7e3091aaf4360792d211d5d973a8960da22", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003563", "prompt": "Solve for x: -7(x + 38) - 2 = x - 332", "solution_steps": ["Expand: -7x - 266 - 2 = x - 332", "Combine constants: -7x - 268 = x - 332", "Subtract x from both sides: -8x - 268 = -332", "Add 268 to both sides: -8x = -64", "Divide both sides by -8: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 38) - 2 = x - 332", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 38, \"c\": 2, \"e\": -332, \"x\": 8}", "seed": "15943303295790552686", "semantic_fingerprint": "sha256:5b170af579e8106c31955acbd8a7ca50a63da019e34b21d1bc153a6f13504819", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003564", "prompt": "Evaluate: -75 - (259 - 11 - 2 - 736 / 64)", "solution_steps": ["Subtract: 259 - 11 = 248", "Subtract: 248 - 2 = 246", "Divide: 736 / 64 = 23/2", "Subtract: 246 - 23/2 = 469/2", "Subtract: -75 - 469/2 = -619/2"], "final_answer": "-619/2", "answer_type": "rational", "kind": "expression", "math_text": "-75 - (259 - 11 - 2 - 736 / 64)", "variable": null, "family": "expression_5op", "shape": "(- n (- (- (- n n) n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 259, \"c\": 11, \"d\": 2, \"e\": 736, \"f\": 64}", "seed": "16250123027405816900", "semantic_fingerprint": "sha256:c0c79fda5b540dcf2f746854d860bf00fe9a1517fb3a4334a35a8b6a539fa91c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003565", "prompt": "What value of x satisfies 12x - 49 = -7(x + 80) + 891?", "solution_steps": ["Expand: 12x - 49 = -7x - 560 + 891", "Combine constants: 12x - 49 = -7x + 331", "Add 7x to both sides: 19x - 49 = 331", "Add 49 to both sides: 19x = 380", "Divide both sides by 19: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 49 = -7(x + 80) + 891", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 49, \"c\": -7, \"d\": 80, \"f\": 891, \"x\": 20}", "seed": "16054638628725505549", "semantic_fingerprint": "sha256:f74ca801bacffe96070c5233dc4209a8de323b439afadbad7186f63c1344945d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003566", "prompt": "Find x: 4(x - 7) + 26 = -3(x + 7) - 16", "solution_steps": ["Expand: 4x - 28 + 26 = -3(x + 7) - 16", "Expand: 4x - 28 + 26 = -3x - 21 - 16", "Combine constants: 4x - 2 = -3x - 21 - 16", "Combine constants: 4x - 2 = -3x - 37", "Add 3x to both sides: 7x - 2 = -37", "Add 2 to both sides: 7x = -35", "Divide both sides by 7: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 7) + 26 = -3(x + 7) - 16", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 26, \"d\": -3, \"e\": 7, \"g\": -16, \"x\": -5}", "seed": "17929372535608409002", "semantic_fingerprint": "sha256:a70cfbc807f7291aedefec953eb5bc9b14a9b9aaf1aa44c02fc6cb253cbdc51b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003567", "prompt": "What is -75 + 39 - (-36) + 16?", "solution_steps": ["Add: -75 + 39 = -36", "Subtract: -36 - (-36) = 0", "Add: 0 + 16 = 16"], "final_answer": "16", "answer_type": "integer", "kind": "expression", "math_text": "-75 + 39 - (-36) + 16", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 39, \"c\": -36, \"d\": 16}", "seed": "11363025604074651843", "semantic_fingerprint": "sha256:a53caab66dd639c1ccc35903a57b91c633676e23c17477f37d31bd227c29ffc1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003568", "prompt": "Calculate: -677 + (5 + 575) + (-878) * (-1)", "solution_steps": ["Add: 5 + 575 = 580", "Add: -677 + 580 = -97", "Multiply: -878 * (-1) = 878", "Add: -97 + 878 = 781"], "final_answer": "781", "answer_type": "integer", "kind": "expression", "math_text": "-677 + (5 + 575) + (-878) * (-1)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -677, \"b\": 5, \"c\": 575, \"d\": -878, \"e\": -1}", "seed": "16227707066451895681", "semantic_fingerprint": "sha256:b8b3e54fad63233aad67006cc684bca794de9f17e373755720eda5fbe163bbfd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003569", "prompt": "Compute: -12 * (-82 * (9 - 6))", "solution_steps": ["Subtract: 9 - 6 = 3", "Multiply: -82 * 3 = -246", "Multiply: -12 * (-246) = 2952"], "final_answer": "2952", "answer_type": "integer", "kind": "expression", "math_text": "-12 * (-82 * (9 - 6))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -82, \"c\": 9, \"d\": 6}", "seed": "1114567993531556051", "semantic_fingerprint": "sha256:cf4e87c389430d297c729b55ba80adbdf5bebddc27d611054cc33a7a659d2b8e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003570", "prompt": "Evaluate: (9 - (302 + (-38))) * (-25) + 3", "solution_steps": ["Add: 302 + (-38) = 264", "Subtract: 9 - 264 = -255", "Multiply: -255 * (-25) = 6375", "Add: 6375 + 3 = 6378"], "final_answer": "6378", "answer_type": "integer", "kind": "expression", "math_text": "(9 - (302 + (-38))) * (-25) + 3", "variable": null, "family": "expression_4op", "shape": "(+ (* (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 302, \"c\": -38, \"d\": -25, \"e\": 3}", "seed": "10361116626831059033", "semantic_fingerprint": "sha256:a9eb420c0b99573c223ba2d4bcc061645bbebc3f7fdac860e4b8c358c6ab0b72", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003571", "prompt": "What value of x satisfies 9(x + 7) - 873 = x - 858?", "solution_steps": ["Expand: 9x + 63 - 873 = x - 858", "Combine constants: 9x - 810 = x - 858", "Subtract x from both sides: 8x - 810 = -858", "Add 810 to both sides: 8x = -48", "Divide both sides by 8: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 7) - 873 = x - 858", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 873, \"e\": -858, \"x\": -6}", "seed": "15184313021200122886", "semantic_fingerprint": "sha256:2a6db2c1975aca1eefaf5600d43161b58cc35e15fe4fac0327b30935fad25830", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003572", "prompt": "What value of x satisfies x - 8 = 8(x - 7) + 167?", "solution_steps": ["Expand: x - 8 = 8x - 56 + 167", "Combine constants: x - 8 = 8x + 111", "Subtract 8x from both sides: -7x - 8 = 111", "Add 8 to both sides: -7x = 119", "Divide both sides by -7: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8 = 8(x - 7) + 167", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": 7, \"e\": 167, \"x\": -17}", "seed": "14387042257625399077", "semantic_fingerprint": "sha256:83d6fbbf4631db9888282fd531a3b4ab793805d65f5274ef43554c447c6a34a0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003573", "prompt": "Evaluate: -832 - (-68) * 93 - 33", "solution_steps": ["Multiply: -68 * 93 = -6324", "Subtract: -832 - (-6324) = 5492", "Subtract: 5492 - 33 = 5459"], "final_answer": "5459", "answer_type": "integer", "kind": "expression", "math_text": "-832 - (-68) * 93 - 33", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -832, \"b\": -68, \"c\": 93, \"d\": 33}", "seed": "2380225913431234082", "semantic_fingerprint": "sha256:d9f75a5af0c0791b65216003a365effb8031f7965232b14305d632ce1305b27c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003574", "prompt": "Compute: -90 + 196 - (-3) * (-60) - (-2)", "solution_steps": ["Add: -90 + 196 = 106", "Multiply: -3 * (-60) = 180", "Subtract: 106 - 180 = -74", "Subtract: -74 - (-2) = -72"], "final_answer": "-72", "answer_type": "integer", "kind": "expression", "math_text": "-90 + 196 - (-3) * (-60) - (-2)", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": 196, \"c\": -3, \"d\": -60, \"e\": -2}", "seed": "8752240693170249721", "semantic_fingerprint": "sha256:4025caa7c608f4822a9178125c249465845039c6d1f6aa9828b85edb5d27d026", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003575", "prompt": "Evaluate: -7 * (30 - 61) - (73 + (660 - (-21)))", "solution_steps": ["Subtract: 30 - 61 = -31", "Multiply: -7 * (-31) = 217", "Subtract: 660 - (-21) = 681", "Add: 73 + 681 = 754", "Subtract: 217 - 754 = -537"], "final_answer": "-537", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (30 - 61) - (73 + (660 - (-21)))", "variable": null, "family": "expression_5op", "shape": "(- (* n (- n n)) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 30, \"c\": 61, \"d\": 73, \"e\": 660, \"f\": -21}", "seed": "15786029198514322986", "semantic_fingerprint": "sha256:7f5c103a8fe14cf66b01e64559a557e0626034994cfb646b1d5e797ced9faf50", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003576", "prompt": "What is (-153 - 916) * (0 / (-72))?", "solution_steps": ["Subtract: -153 - 916 = -1069", "Divide: 0 / (-72) = 0", "Multiply: -1069 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-153 - 916) * (0 / (-72))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -153, \"b\": 916, \"c\": 0, \"d\": -72}", "seed": "1525733005488353016", "semantic_fingerprint": "sha256:b625c4e895c1050378aa8749443dc4d88f29e8c2b565b0ef010e5b42a32f738a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003577", "prompt": "Solve for x: 4(x - 95) + 97 = 12x + 683", "solution_steps": ["Expand: 4x - 380 + 97 = 12x + 683", "Combine constants: 4x - 283 = 12x + 683", "Subtract 12x from both sides: -8x - 283 = 683", "Add 283 to both sides: -8x = 966", "Divide both sides by -8: x = -483/4"], "final_answer": "-483/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 95) + 97 = 12x + 683", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 95, \"c\": 97, \"d\": 12, \"e\": 683}", "seed": "9854408931929024711", "semantic_fingerprint": "sha256:193ffd19761a52be2c7480d239fa68b92762c81448f5fac5745286acea72f2fc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003578", "prompt": "Evaluate: -7 / (-71 * (-17)) - 14", "solution_steps": ["Multiply: -71 * (-17) = 1207", "Divide: -7 / 1207 = -7/1207", "Subtract: -7/1207 - 14 = -16905/1207"], "final_answer": "-16905/1207", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-71 * (-17)) - 14", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -71, \"c\": -17, \"d\": 14}", "seed": "1459371081671685997", "semantic_fingerprint": "sha256:0cd6d5881474a276febbc914a1651a52e35bb1d3bef63f348eda7f63b9dda598", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003579", "prompt": "Solve for x: 9(x - 8) = -8x - 106", "solution_steps": ["Expand: 9x - 72 = -8x - 106", "Add 8x to both sides: 17x - 72 = -106", "Add 72 to both sides: 17x = -34", "Divide both sides by 17: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 8) = -8x - 106", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": -8, \"e\": -106, \"x\": -2}", "seed": "4875531935871621505", "semantic_fingerprint": "sha256:62a8b0010f1a857ae4299d7c95cd3c8438ff4318770f21bcf1e24de497e9663a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003580", "prompt": "Solve for x: 9(x - 8) = -5x - 797", "solution_steps": ["Expand: 9x - 72 = -5x - 797", "Add 5x to both sides: 14x - 72 = -797", "Add 72 to both sides: 14x = -725", "Divide both sides by 14: x = -725/14"], "final_answer": "-725/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 8) = -5x - 797", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": -5, \"d\": 797}", "seed": "12482216639627828142", "semantic_fingerprint": "sha256:f7b9487f35674779bfa0f8ee4045c3c41fef01ce6fe7a48add7ed42523ac3b8b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003581", "prompt": "Solve for x: 4(x - 23) + 87 = -9(x - 4)", "solution_steps": ["Expand: 4x - 92 + 87 = -9(x - 4)", "Expand: 4x - 92 + 87 = -9x + 36", "Combine constants: 4x - 5 = -9x + 36", "Add 9x to both sides: 13x - 5 = 36", "Add 5 to both sides: 13x = 41", "Divide both sides by 13: x = 41/13"], "final_answer": "41/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 23) + 87 = -9(x - 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 23, \"c\": 87, \"d\": -9, \"e\": 4}", "seed": "2471953072967412863", "semantic_fingerprint": "sha256:27ef193a65b1916178430df10e9ca7c322ef9b194929e05a977efa6173c873e2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003582", "prompt": "What is 77 * (2 / 98 / 7 - (-66))?", "solution_steps": ["Divide: 2 / 98 = 1/49", "Divide: (1/49) / 7 = 1/343", "Subtract: 1/343 - (-66) = 22639/343", "Multiply: 77 * (22639/343) = 249029/49"], "final_answer": "249029/49", "answer_type": "rational", "kind": "expression", "math_text": "77 * (2 / 98 / 7 - (-66))", "variable": null, "family": "expression_4op", "shape": "(* n (- (/ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 2, \"c\": 98, \"d\": 7, \"e\": -66}", "seed": "10276970863187845685", "semantic_fingerprint": "sha256:c5433f9ed568c6dcae78eb4751c99c55873d9063ab672a187d93079988dd1b50", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003583", "prompt": "What is (-173 + 236 + 0) * (-11)?", "solution_steps": ["Add: -173 + 236 = 63", "Add: 63 + 0 = 63", "Multiply: 63 * (-11) = -693"], "final_answer": "-693", "answer_type": "integer", "kind": "expression", "math_text": "(-173 + 236 + 0) * (-11)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -173, \"b\": 236, \"c\": 0, \"d\": -11}", "seed": "16970312156919837586", "semantic_fingerprint": "sha256:c915df1bf0b4221170e495a1981086520f9277a0f4bd98414875ae5d11d28897", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003584", "prompt": "What value of x satisfies 6(x - 7) - 60 = -12(x - 4) - 222?", "solution_steps": ["Expand: 6x - 42 - 60 = -12(x - 4) - 222", "Expand: 6x - 42 - 60 = -12x + 48 - 222", "Combine constants: 6x - 102 = -12x + 48 - 222", "Combine constants: 6x - 102 = -12x - 174", "Add 12x to both sides: 18x - 102 = -174", "Add 102 to both sides: 18x = -72", "Divide both sides by 18: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 7) - 60 = -12(x - 4) - 222", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": 60, \"d\": -12, \"e\": 4, \"g\": -222, \"x\": -4}", "seed": "15373411424162149082", "semantic_fingerprint": "sha256:0ffe9cf443262e2a8acf0e1d7b335a7184dcf82cc8203da234684a2199798275", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003585", "prompt": "Calculate: -820 + 5 - (0 * 622 + (53 - (-397)))", "solution_steps": ["Add: -820 + 5 = -815", "Multiply: 0 * 622 = 0", "Subtract: 53 - (-397) = 450", "Add: 0 + 450 = 450", "Subtract: -815 - 450 = -1265"], "final_answer": "-1265", "answer_type": "integer", "kind": "expression", "math_text": "-820 + 5 - (0 * 622 + (53 - (-397)))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (+ (* n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -820, \"b\": 5, \"c\": 0, \"d\": 622, \"e\": 53, \"f\": -397}", "seed": "18005853828499451298", "semantic_fingerprint": "sha256:68909eeefd2f9ea9c4ba3ba84a3b1d66aeb7799e3f95a80617333706b72eca64", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003586", "prompt": "Find x: 2(x - 80) + 4 = -9(x - 667)", "solution_steps": ["Expand: 2x - 160 + 4 = -9(x - 667)", "Expand: 2x - 160 + 4 = -9x + 6003", "Combine constants: 2x - 156 = -9x + 6003", "Add 9x to both sides: 11x - 156 = 6003", "Add 156 to both sides: 11x = 6159", "Divide both sides by 11: x = 6159/11"], "final_answer": "6159/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 80) + 4 = -9(x - 667)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 80, \"c\": 4, \"d\": -9, \"e\": 667}", "seed": "11741321757129839068", "semantic_fingerprint": "sha256:f68cb3969a71b2a7473ecf02727e8f0e8025e78e6dd15e3b32df0a15fed9ff37", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003587", "prompt": "Find x: 3(x + 35) - 371 = x - 302", "solution_steps": ["Expand: 3x + 105 - 371 = x - 302", "Combine constants: 3x - 266 = x - 302", "Subtract x from both sides: 2x - 266 = -302", "Add 266 to both sides: 2x = -36", "Divide both sides by 2: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 35) - 371 = x - 302", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 35, \"c\": 371, \"e\": -302, \"x\": -18}", "seed": "5086711190753400065", "semantic_fingerprint": "sha256:2885604dbc71951e3e196de1d21b7c3551965875ef89f5c518c365d141cd78ac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003588", "prompt": "Calculate: (-684 + (-53 + (-6))) / (90 - (-1) - (-496))", "solution_steps": ["Add: -53 + (-6) = -59", "Add: -684 + (-59) = -743", "Subtract: 90 - (-1) = 91", "Subtract: 91 - (-496) = 587", "Divide: -743 / 587 = -743/587"], "final_answer": "-743/587", "answer_type": "rational", "kind": "expression", "math_text": "(-684 + (-53 + (-6))) / (90 - (-1) - (-496))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (+ n n)) (- (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -684, \"b\": -53, \"c\": -6, \"d\": 90, \"e\": -1, \"f\": -496}", "seed": "6250440119285079549", "semantic_fingerprint": "sha256:6d753309a8f33b8f46b3b5e9c9ef6137888ca03a8aaad619165cb5c3b2f4f5e6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003589", "prompt": "Solve for x: 2(x - 9) + 805 = 8x + 889", "solution_steps": ["Expand: 2x - 18 + 805 = 8x + 889", "Combine constants: 2x + 787 = 8x + 889", "Subtract 8x from both sides: -6x + 787 = 889", "Subtract 787 from both sides: -6x = 102", "Divide both sides by -6: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 9) + 805 = 8x + 889", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 805, \"d\": 8, \"f\": 889, \"x\": -17}", "seed": "15571487998478291836", "semantic_fingerprint": "sha256:b3f978847598fd99f3c3f52c71b87b8d81ed26a6892f60bfc36ce2d20ed1965e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003590", "prompt": "What value of x satisfies x - 7 = -8(x - 925) + 80?", "solution_steps": ["Expand: x - 7 = -8x + 7400 + 80", "Combine constants: x - 7 = -8x + 7480", "Add 8x to both sides: 9x - 7 = 7480", "Add 7 to both sides: 9x = 7487", "Divide both sides by 9: x = 7487/9"], "final_answer": "7487/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 7 = -8(x - 925) + 80", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -8, \"c\": 925, \"d\": 80}", "seed": "7405287479312382181", "semantic_fingerprint": "sha256:6f1347dc55772d5821036f6e887e9a36142a1d6792798c31e87fa4a89e015cd7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003591", "prompt": "Find x: 6(x - 9) = -4x - 4", "solution_steps": ["Expand: 6x - 54 = -4x - 4", "Add 4x to both sides: 10x - 54 = -4", "Add 54 to both sides: 10x = 50", "Divide both sides by 10: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 9) = -4x - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": -4, \"e\": -4, \"x\": 5}", "seed": "12449017651481316408", "semantic_fingerprint": "sha256:419eccb804dab8af3560a9550bd4bc33bf5a16fced929bda93b64165b485aff0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003592", "prompt": "What value of x satisfies -10(x + 9) + 2 = 10(x + 2) - 128?", "solution_steps": ["Expand: -10x - 90 + 2 = 10(x + 2) - 128", "Expand: -10x - 90 + 2 = 10x + 20 - 128", "Combine constants: -10x - 88 = 10x + 20 - 128", "Combine constants: -10x - 88 = 10x - 108", "Subtract 10x from both sides: -20x - 88 = -108", "Add 88 to both sides: -20x = -20", "Divide both sides by -20: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 9) + 2 = 10(x + 2) - 128", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 9, \"c\": 2, \"d\": 10, \"e\": 2, \"g\": -128, \"x\": 1}", "seed": "5977384650116294487", "semantic_fingerprint": "sha256:fccb92bfe3743307d42592b05d4182334e07ccf8025781879204e0fb250ff9c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003593", "prompt": "Calculate: -65 / (-94) + 90 / (-68)", "solution_steps": ["Divide: -65 / (-94) = 65/94", "Divide: 90 / (-68) = -45/34", "Add: 65/94 + (-45/34) = -505/799"], "final_answer": "-505/799", "answer_type": "rational", "kind": "expression", "math_text": "-65 / (-94) + 90 / (-68)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -94, \"c\": 90, \"d\": -68}", "seed": "5894409080718630380", "semantic_fingerprint": "sha256:7fd7271b559e7bf337b49aebb0cae9fe839b953b04e95d7d19ecbdf6af2c0a8e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003594", "prompt": "Solve the equation 4(x + 1) - 19 = x - 33 for x.", "solution_steps": ["Expand: 4x + 4 - 19 = x - 33", "Combine constants: 4x - 15 = x - 33", "Subtract x from both sides: 3x - 15 = -33", "Add 15 to both sides: 3x = -18", "Divide both sides by 3: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 1) - 19 = x - 33", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 19, \"e\": -33, \"x\": -6}", "seed": "10623631914337098444", "semantic_fingerprint": "sha256:2aa4538231a4a250040ae4b22bfb97a925e665d08be340a1b97409bf891506cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003595", "prompt": "Solve for x: -7(x - 9) + 242 = -3(x - 83)", "solution_steps": ["Expand: -7x + 63 + 242 = -3(x - 83)", "Expand: -7x + 63 + 242 = -3x + 249", "Combine constants: -7x + 305 = -3x + 249", "Add 3x to both sides: -4x + 305 = 249", "Subtract 305 from both sides: -4x = -56", "Divide both sides by -4: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 9) + 242 = -3(x - 83)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 9, \"c\": -3, \"d\": 83, \"f\": 242, \"x\": 14}", "seed": "15858476947711745845", "semantic_fingerprint": "sha256:3d329aad2ba75acb308f68fd14c99bf01cfae6aa5143809a079bd4cbbcb39eba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003596", "prompt": "Compute: (-7 - (-1)) * (2 * 44)", "solution_steps": ["Subtract: -7 - (-1) = -6", "Multiply: 2 * 44 = 88", "Multiply: -6 * 88 = -528"], "final_answer": "-528", "answer_type": "integer", "kind": "expression", "math_text": "(-7 - (-1)) * (2 * 44)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -1, \"c\": 2, \"d\": 44}", "seed": "6384485189867876525", "semantic_fingerprint": "sha256:c06351ff74e4367181f5fe0bb2b7549abbc799440076cb66ef483c062990b2dd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003597", "prompt": "Evaluate: -1 / 427 * 375 * 3 * 851", "solution_steps": ["Divide: -1 / 427 = -1/427", "Multiply: (-1/427) * 375 = -375/427", "Multiply: (-375/427) * 3 = -1125/427", "Multiply: (-1125/427) * 851 = -957375/427"], "final_answer": "-957375/427", "answer_type": "rational", "kind": "expression", "math_text": "-1 / 427 * 375 * 3 * 851", "variable": null, "family": "expression_4op", "shape": "(* (* (* (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 427, \"c\": 375, \"d\": 3, \"e\": 851}", "seed": "18231900232412394622", "semantic_fingerprint": "sha256:89db569f8536d735590c52381b837efbd44e3a53bcb5d3125a68a10b31a690cc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003598", "prompt": "Calculate: (228 / 69 + 77) * (-17)", "solution_steps": ["Divide: 228 / 69 = 76/23", "Add: 76/23 + 77 = 1847/23", "Multiply: (1847/23) * (-17) = -31399/23"], "final_answer": "-31399/23", "answer_type": "rational", "kind": "expression", "math_text": "(228 / 69 + 77) * (-17)", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 228, \"b\": 69, \"c\": 77, \"d\": -17}", "seed": "4095141958114970180", "semantic_fingerprint": "sha256:46cb9291c454722d02dd4ad8810e8cda2548250e5df1ee0d748b07becec2a03f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003599", "prompt": "Evaluate: (13 - (-8)) * ((-1 + 5) / (-324 - (-44)))", "solution_steps": ["Subtract: 13 - (-8) = 21", "Add: -1 + 5 = 4", "Subtract: -324 - (-44) = -280", "Divide: 4 / (-280) = -1/70", "Multiply: 21 * (-1/70) = -3/10"], "final_answer": "-3/10", "answer_type": "rational", "kind": "expression", "math_text": "(13 - (-8)) * ((-1 + 5) / (-324 - (-44)))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (/ (+ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -8, \"c\": -1, \"d\": 5, \"e\": -324, \"f\": -44}", "seed": "12984673757991238617", "semantic_fingerprint": "sha256:2fa4474ac1b82432f3cfb96c146066c95c06471d221ced50fbf454e9961d137f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003600", "prompt": "Find x: 3(x - 77) + 76 = 2x + 2", "solution_steps": ["Expand: 3x - 231 + 76 = 2x + 2", "Combine constants: 3x - 155 = 2x + 2", "Subtract 2x from both sides: x - 155 = 2", "Add 155 to both sides: x = 157"], "final_answer": "157", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 77) + 76 = 2x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 77, \"c\": 76, \"d\": 2, \"e\": 2}", "seed": "12955217570671324597", "semantic_fingerprint": "sha256:52cfb18010f989a790dd8174b0d3e9465c992fa3742eaf314490356c3c9cb19b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003601", "prompt": "Calculate: -92 / (-74 / (-33 * 85))", "solution_steps": ["Multiply: -33 * 85 = -2805", "Divide: -74 / (-2805) = 74/2805", "Divide: -92 / (74/2805) = -129030/37"], "final_answer": "-129030/37", "answer_type": "rational", "kind": "expression", "math_text": "-92 / (-74 / (-33 * 85))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": -74, \"c\": -33, \"d\": 85}", "seed": "12772989676116515859", "semantic_fingerprint": "sha256:8299411560321cee03f198712f57ec72662f2c7b78a83f9a519622f0e2c2ef71", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003602", "prompt": "Calculate: -115 + (-2 * 832 - (-90))", "solution_steps": ["Multiply: -2 * 832 = -1664", "Subtract: -1664 - (-90) = -1574", "Add: -115 + (-1574) = -1689"], "final_answer": "-1689", "answer_type": "integer", "kind": "expression", "math_text": "-115 + (-2 * 832 - (-90))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -115, \"b\": -2, \"c\": 832, \"d\": -90}", "seed": "2929265026903412146", "semantic_fingerprint": "sha256:e5edee8136243c9c980c79101038191d06179feff3272be5f1e3cf5d7301ecd2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003603", "prompt": "Evaluate: (-78 - 57 * (58 + 5 - 0)) / (-39)", "solution_steps": ["Add: 58 + 5 = 63", "Subtract: 63 - 0 = 63", "Multiply: 57 * 63 = 3591", "Subtract: -78 - 3591 = -3669", "Divide: -3669 / (-39) = 1223/13"], "final_answer": "1223/13", "answer_type": "rational", "kind": "expression", "math_text": "(-78 - 57 * (58 + 5 - 0)) / (-39)", "variable": null, "family": "expression_5op", "shape": "(/ (- n (* n (- (+ n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": 57, \"c\": 58, \"d\": 5, \"e\": 0, \"f\": -39}", "seed": "12228104814507132445", "semantic_fingerprint": "sha256:892d09f56fe027dd9f02e9003f663b9fe62b8f1deb0630f13f37849f653cd0e2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003604", "prompt": "Solve the equation 7(x + 6) - 32 = x - 104 for x.", "solution_steps": ["Expand: 7x + 42 - 32 = x - 104", "Combine constants: 7x + 10 = x - 104", "Subtract x from both sides: 6x + 10 = -104", "Subtract 10 from both sides: 6x = -114", "Divide both sides by 6: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 6) - 32 = x - 104", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 32, \"e\": -104, \"x\": -19}", "seed": "4973737966970715908", "semantic_fingerprint": "sha256:790ef04312a1a7df55b7f06cc4b7461a2406b0fb9f86bedde022012db1a11788", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003605", "prompt": "Find x: 5(x - 8) + 3 = 8(x + 44) - 419", "solution_steps": ["Expand: 5x - 40 + 3 = 8(x + 44) - 419", "Expand: 5x - 40 + 3 = 8x + 352 - 419", "Combine constants: 5x - 37 = 8x + 352 - 419", "Combine constants: 5x - 37 = 8x - 67", "Subtract 8x from both sides: -3x - 37 = -67", "Add 37 to both sides: -3x = -30", "Divide both sides by -3: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 8) + 3 = 8(x + 44) - 419", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 3, \"d\": 8, \"e\": 44, \"g\": -419, \"x\": 10}", "seed": "8989316928867943544", "semantic_fingerprint": "sha256:dc55f44f2fa67aa459699ff639634193bf4dddef7467851713e823251fa3c2b6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003606", "prompt": "Evaluate: 6 / (-8) + (76 - (-8) - 2)", "solution_steps": ["Divide: 6 / (-8) = -3/4", "Subtract: 76 - (-8) = 84", "Subtract: 84 - 2 = 82", "Add: -3/4 + 82 = 325/4"], "final_answer": "325/4", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-8) + (76 - (-8) - 2)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -8, \"c\": 76, \"d\": -8, \"e\": 2}", "seed": "3939453518023988839", "semantic_fingerprint": "sha256:1f1a9870099f3e67db0a0a586bced79362e16a2cfbc467191dcf591a115fcebe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003607", "prompt": "What value of x satisfies 10(x - 48) = -4x - 466?", "solution_steps": ["Expand: 10x - 480 = -4x - 466", "Add 4x to both sides: 14x - 480 = -466", "Add 480 to both sides: 14x = 14", "Divide both sides by 14: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 48) = -4x - 466", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 48, \"c\": -4, \"e\": -466, \"x\": 1}", "seed": "4846338196840248710", "semantic_fingerprint": "sha256:63603107248eb70e30241f74de9defc285cf33e7217afbab430459494c5650f6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003608", "prompt": "Evaluate: 8 / (-3) - 459 - 64", "solution_steps": ["Divide: 8 / (-3) = -8/3", "Subtract: -8/3 - 459 = -1385/3", "Subtract: -1385/3 - 64 = -1577/3"], "final_answer": "-1577/3", "answer_type": "rational", "kind": "expression", "math_text": "8 / (-3) - 459 - 64", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -3, \"c\": 459, \"d\": 64}", "seed": "12508525494450847627", "semantic_fingerprint": "sha256:5fa5abbf118aff4eb7f05ddf35e685588c9d8c8639aa8514360fa9b8b90a943a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003609", "prompt": "Compute: (-9 - 3) * (-40 * (-2))", "solution_steps": ["Subtract: -9 - 3 = -12", "Multiply: -40 * (-2) = 80", "Multiply: -12 * 80 = -960"], "final_answer": "-960", "answer_type": "integer", "kind": "expression", "math_text": "(-9 - 3) * (-40 * (-2))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 3, \"c\": -40, \"d\": -2}", "seed": "8059335933417416125", "semantic_fingerprint": "sha256:405fd2fe7bdeae6ebbf47364d93a1094ba6fbc8a5d1bcf6ba25dcea576ee5ede", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003610", "prompt": "Solve the equation -12(x - 906) + 9 = 7(x - 59) for x.", "solution_steps": ["Expand: -12x + 10872 + 9 = 7(x - 59)", "Expand: -12x + 10872 + 9 = 7x - 413", "Combine constants: -12x + 10881 = 7x - 413", "Subtract 7x from both sides: -19x + 10881 = -413", "Subtract 10881 from both sides: -19x = -11294", "Divide both sides by -19: x = 11294/19"], "final_answer": "11294/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 906) + 9 = 7(x - 59)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 906, \"c\": 9, \"d\": 7, \"e\": 59}", "seed": "13106709262515937968", "semantic_fingerprint": "sha256:a9be13ba888575c7ee9829df84527fd88c0b433f5ec2ad9fa8b159dd16e09fcb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003611", "prompt": "Compute: 2 * 157 - 0 / (-321) / (-45)", "solution_steps": ["Multiply: 2 * 157 = 314", "Divide: 0 / (-321) = 0", "Divide: 0 / (-45) = 0", "Subtract: 314 - 0 = 314"], "final_answer": "314", "answer_type": "integer", "kind": "expression", "math_text": "2 * 157 - 0 / (-321) / (-45)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 157, \"c\": 0, \"d\": -321, \"e\": -45}", "seed": "16785253127436165672", "semantic_fingerprint": "sha256:dfcb0467645f8d109b3b225b94db2385dc00798a409750e7f410b4ef12b1eb23", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003612", "prompt": "Calculate: 6 / 8 / (2 - 219 + 89)", "solution_steps": ["Divide: 6 / 8 = 3/4", "Subtract: 2 - 219 = -217", "Add: -217 + 89 = -128", "Divide: (3/4) / (-128) = -3/512"], "final_answer": "-3/512", "answer_type": "rational", "kind": "expression", "math_text": "6 / 8 / (2 - 219 + 89)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 2, \"d\": 219, \"e\": 89}", "seed": "149285501054006858", "semantic_fingerprint": "sha256:ccec886efa5978580914a2fdfead93017aafcf4a6f28d357d27003dff80df001", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003613", "prompt": "Evaluate: 29 - (-265) * (-60) - 507", "solution_steps": ["Multiply: -265 * (-60) = 15900", "Subtract: 29 - 15900 = -15871", "Subtract: -15871 - 507 = -16378"], "final_answer": "-16378", "answer_type": "integer", "kind": "expression", "math_text": "29 - (-265) * (-60) - 507", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": -265, \"c\": -60, \"d\": 507}", "seed": "5385387957756900331", "semantic_fingerprint": "sha256:73714c8cf9d8476e043a3de76362d5ef384453073214c700e349dd9ebebea4cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003614", "prompt": "Evaluate: (93 - (-1)) * (-98) * (-63)", "solution_steps": ["Subtract: 93 - (-1) = 94", "Multiply: 94 * (-98) = -9212", "Multiply: -9212 * (-63) = 580356"], "final_answer": "580356", "answer_type": "integer", "kind": "expression", "math_text": "(93 - (-1)) * (-98) * (-63)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": -1, \"c\": -98, \"d\": -63}", "seed": "1023992302092550662", "semantic_fingerprint": "sha256:225462c26e3c1c7a8b581b2c54474c3a290196e3f201272dcf954831167349ce", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003615", "prompt": "Solve for x: 2(x - 3) = 10x - 45", "solution_steps": ["Expand: 2x - 6 = 10x - 45", "Subtract 10x from both sides: -8x - 6 = -45", "Add 6 to both sides: -8x = -39", "Divide both sides by -8: x = 39/8"], "final_answer": "39/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 3) = 10x - 45", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 10, \"d\": 45}", "seed": "3912137952962634022", "semantic_fingerprint": "sha256:00a458cdb74cd132fc330584e11222422c45b26c1dc661860851981a37af40c6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003616", "prompt": "Compute: 53 + (-881 - (-104 + 236) + (-4) * 694)", "solution_steps": ["Add: -104 + 236 = 132", "Subtract: -881 - 132 = -1013", "Multiply: -4 * 694 = -2776", "Add: -1013 + (-2776) = -3789", "Add: 53 + (-3789) = -3736"], "final_answer": "-3736", "answer_type": "integer", "kind": "expression", "math_text": "53 + (-881 - (-104 + 236) + (-4) * 694)", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (- n (+ n n)) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": -881, \"c\": -104, \"d\": 236, \"e\": -4, \"f\": 694}", "seed": "4013302911337471685", "semantic_fingerprint": "sha256:739a1053ffd5ccd4c188107d873d7c0abf32fbe581c1db8886d35c31d2d778e3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003617", "prompt": "What value of x satisfies 10(x + 1) - 53 = x - 205?", "solution_steps": ["Expand: 10x + 10 - 53 = x - 205", "Combine constants: 10x - 43 = x - 205", "Subtract x from both sides: 9x - 43 = -205", "Add 43 to both sides: 9x = -162", "Divide both sides by 9: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 1) - 53 = x - 205", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 1, \"c\": 53, \"e\": -205, \"x\": -18}", "seed": "8702452349492029269", "semantic_fingerprint": "sha256:8de9e86e3d7846dbc0aedf699ae7a5bd6e99c3282bfad0d236a73cd75a6c180f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003618", "prompt": "Solve for x: 4(x + 5) - 206 = x - 183", "solution_steps": ["Expand: 4x + 20 - 206 = x - 183", "Combine constants: 4x - 186 = x - 183", "Subtract x from both sides: 3x - 186 = -183", "Add 186 to both sides: 3x = 3", "Divide both sides by 3: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 5) - 206 = x - 183", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 206, \"e\": -183, \"x\": 1}", "seed": "7414223814594091758", "semantic_fingerprint": "sha256:e71367c705ca24b94018afdcaba23ebd92439125c6fdb543bd09279438144a5e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003619", "prompt": "Evaluate: 16 / (-92) - 620 * (62 - 2)", "solution_steps": ["Divide: 16 / (-92) = -4/23", "Subtract: 62 - 2 = 60", "Multiply: 620 * 60 = 37200", "Subtract: -4/23 - 37200 = -855604/23"], "final_answer": "-855604/23", "answer_type": "rational", "kind": "expression", "math_text": "16 / (-92) - 620 * (62 - 2)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": -92, \"c\": 620, \"d\": 62, \"e\": 2}", "seed": "4648485020700286201", "semantic_fingerprint": "sha256:1ede9926f08d3eafe6ff8dc6435d55c77745c6f4ca32c24a490f444299bef4ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003620", "prompt": "What is 50 * (-1) / (178 + 635)?", "solution_steps": ["Multiply: 50 * (-1) = -50", "Add: 178 + 635 = 813", "Divide: -50 / 813 = -50/813"], "final_answer": "-50/813", "answer_type": "rational", "kind": "expression", "math_text": "50 * (-1) / (178 + 635)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -1, \"c\": 178, \"d\": 635}", "seed": "14943565744786455698", "semantic_fingerprint": "sha256:db6efb4297ea45a7e5966c83d60533d3490e3696cb41d88e8af5041e7e5ab57a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003621", "prompt": "What is (945 - (-61)) / (17 * 139)?", "solution_steps": ["Subtract: 945 - (-61) = 1006", "Multiply: 17 * 139 = 2363", "Divide: 1006 / 2363 = 1006/2363"], "final_answer": "1006/2363", "answer_type": "rational", "kind": "expression", "math_text": "(945 - (-61)) / (17 * 139)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 945, \"b\": -61, \"c\": 17, \"d\": 139}", "seed": "15471526937416930596", "semantic_fingerprint": "sha256:a0235df273409aab194174f192c46c134f9a5f1db8f72846eac758fac91276b6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003622", "prompt": "What is 97 - (27 / (651 + 77 - (-5)) - 5)?", "solution_steps": ["Add: 651 + 77 = 728", "Subtract: 728 - (-5) = 733", "Divide: 27 / 733 = 27/733", "Subtract: 27/733 - 5 = -3638/733", "Subtract: 97 - (-3638/733) = 74739/733"], "final_answer": "74739/733", "answer_type": "rational", "kind": "expression", "math_text": "97 - (27 / (651 + 77 - (-5)) - 5)", "variable": null, "family": "expression_5op", "shape": "(- n (- (/ n (- (+ n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": 27, \"c\": 651, \"d\": 77, \"e\": -5, \"f\": 5}", "seed": "5283254241012162731", "semantic_fingerprint": "sha256:4d22ff18971c305eadfdea90deb745d8d6dfc1e7acb00e3c8307fccc153064af", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003623", "prompt": "Solve for x: -12(x + 18) - 8 = x - 4", "solution_steps": ["Expand: -12x - 216 - 8 = x - 4", "Combine constants: -12x - 224 = x - 4", "Subtract x from both sides: -13x - 224 = -4", "Add 224 to both sides: -13x = 220", "Divide both sides by -13: x = -220/13"], "final_answer": "-220/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 18) - 8 = x - 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 18, \"c\": 8, \"d\": 4}", "seed": "3297239982183226337", "semantic_fingerprint": "sha256:65ada2d9aa70a8496be0d6f65466c77e4129f22a91e9eebdb47cca8f535e6e09", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003624", "prompt": "Solve for x: 9(x - 53) = 3x - 579", "solution_steps": ["Expand: 9x - 477 = 3x - 579", "Subtract 3x from both sides: 6x - 477 = -579", "Add 477 to both sides: 6x = -102", "Divide both sides by 6: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 53) = 3x - 579", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 53, \"c\": 3, \"e\": -579, \"x\": -17}", "seed": "5326445995702665158", "semantic_fingerprint": "sha256:d6ff47b27b08df71b3b121d88569f1fdf30af3e16533ac00b25ffd71cca37e86", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003625", "prompt": "What is (5 - 891 * 37) * (5 / 81)?", "solution_steps": ["Multiply: 891 * 37 = 32967", "Subtract: 5 - 32967 = -32962", "Divide: 5 / 81 = 5/81", "Multiply: -32962 * (5/81) = -164810/81"], "final_answer": "-164810/81", "answer_type": "rational", "kind": "expression", "math_text": "(5 - 891 * 37) * (5 / 81)", "variable": null, "family": "expression_4op", "shape": "(* (- n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 891, \"c\": 37, \"d\": 5, \"e\": 81}", "seed": "579745333248561278", "semantic_fingerprint": "sha256:331879854e260e19c8c73f743d763dbb66bc32625044ce700e354ad6bfb49d25", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003626", "prompt": "What value of x satisfies -7(x - 5) + 767 = 11x + 784?", "solution_steps": ["Expand: -7x + 35 + 767 = 11x + 784", "Combine constants: -7x + 802 = 11x + 784", "Subtract 11x from both sides: -18x + 802 = 784", "Subtract 802 from both sides: -18x = -18", "Divide both sides by -18: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 5) + 767 = 11x + 784", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 5, \"c\": 767, \"d\": 11, \"f\": 784, \"x\": 1}", "seed": "12074982250318550286", "semantic_fingerprint": "sha256:9b445c9bbf5de584e8c7cb199365d2686cd70cc614c1fb016fe2b514ec940570", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003627", "prompt": "What is (-671 - (-26)) * (-100 / 257)?", "solution_steps": ["Subtract: -671 - (-26) = -645", "Divide: -100 / 257 = -100/257", "Multiply: -645 * (-100/257) = 64500/257"], "final_answer": "64500/257", "answer_type": "rational", "kind": "expression", "math_text": "(-671 - (-26)) * (-100 / 257)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -671, \"b\": -26, \"c\": -100, \"d\": 257}", "seed": "8764784707672868674", "semantic_fingerprint": "sha256:6cddc4a2ce03cf1c0bcba9c70082feb88064ef77a830f0177b7139c5d6d8a1f7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003628", "prompt": "Evaluate: (-27 - (-203) / (-8 / 577) + (-906)) / 899", "solution_steps": ["Divide: -8 / 577 = -8/577", "Divide: -203 / (-8/577) = 117131/8", "Subtract: -27 - 117131/8 = -117347/8", "Add: -117347/8 + (-906) = -124595/8", "Divide: (-124595/8) / 899 = -124595/7192"], "final_answer": "-124595/7192", "answer_type": "rational", "kind": "expression", "math_text": "(-27 - (-203) / (-8 / 577) + (-906)) / 899", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n (/ n (/ n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": -203, \"c\": -8, \"d\": 577, \"e\": -906, \"f\": 899}", "seed": "7152691873633619630", "semantic_fingerprint": "sha256:dc7171ac5a8b9eaffdbec112bd561482711a3e8d47e2f24db3ab2e48e28ac26c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003629", "prompt": "Evaluate: 14 * (-9) / (-35 + (-5))", "solution_steps": ["Multiply: 14 * (-9) = -126", "Add: -35 + (-5) = -40", "Divide: -126 / (-40) = 63/20"], "final_answer": "63/20", "answer_type": "rational", "kind": "expression", "math_text": "14 * (-9) / (-35 + (-5))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -9, \"c\": -35, \"d\": -5}", "seed": "15769598870991080316", "semantic_fingerprint": "sha256:cc86360f6db55d486808bd68f2da1f8e0fe697abac3ccbf4dd3c39758d91c4d2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003630", "prompt": "What is (0 + 0) / (5 / (-31))?", "solution_steps": ["Add: 0 + 0 = 0", "Divide: 5 / (-31) = -5/31", "Divide: 0 / (-5/31) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(0 + 0) / (5 / (-31))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 0, \"c\": 5, \"d\": -31}", "seed": "15830554640555409125", "semantic_fingerprint": "sha256:3b9594bb68975c2364de4191432d2710567e9edee68c8bd420faf9ec9208158f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003631", "prompt": "Calculate: (74 - (-448) - (6 + (-4 + 9))) * 933", "solution_steps": ["Subtract: 74 - (-448) = 522", "Add: -4 + 9 = 5", "Add: 6 + 5 = 11", "Subtract: 522 - 11 = 511", "Multiply: 511 * 933 = 476763"], "final_answer": "476763", "answer_type": "integer", "kind": "expression", "math_text": "(74 - (-448) - (6 + (-4 + 9))) * 933", "variable": null, "family": "expression_5op", "shape": "(* (- (- n n) (+ n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -448, \"c\": 6, \"d\": -4, \"e\": 9, \"f\": 933}", "seed": "18402526181157528792", "semantic_fingerprint": "sha256:f604cd60b57513178d2fad34dc544f5e28f7861b6bbf67013890a6054c7c8df7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003632", "prompt": "Evaluate: 757 - 65 / (-24 / 88) * 5", "solution_steps": ["Divide: -24 / 88 = -3/11", "Divide: 65 / (-3/11) = -715/3", "Multiply: (-715/3) * 5 = -3575/3", "Subtract: 757 - (-3575/3) = 5846/3"], "final_answer": "5846/3", "answer_type": "rational", "kind": "expression", "math_text": "757 - 65 / (-24 / 88) * 5", "variable": null, "family": "expression_4op", "shape": "(- n (* (/ n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 757, \"b\": 65, \"c\": -24, \"d\": 88, \"e\": 5}", "seed": "9946633749487987352", "semantic_fingerprint": "sha256:3347484f29dab24b21f15448ddcf7e8f9ae7d8b4cd5e7e82f35849207799a0b9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003633", "prompt": "Calculate: -18 / (93 / 1 * (-11 * (-4)))", "solution_steps": ["Divide: 93 / 1 = 93", "Multiply: -11 * (-4) = 44", "Multiply: 93 * 44 = 4092", "Divide: -18 / 4092 = -3/682"], "final_answer": "-3/682", "answer_type": "rational", "kind": "expression", "math_text": "-18 / (93 / 1 * (-11 * (-4)))", "variable": null, "family": "expression_4op", "shape": "(/ n (* (/ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 93, \"c\": 1, \"d\": -11, \"e\": -4}", "seed": "9025475013616749060", "semantic_fingerprint": "sha256:ba55743aad9a8c2b7e26ceae2260c74866ee72b12cae1f886298ed3a0306c5be", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003634", "prompt": "Evaluate: (28 - (8 + 409)) / ((-4 + (-97)) / 79)", "solution_steps": ["Add: 8 + 409 = 417", "Subtract: 28 - 417 = -389", "Add: -4 + (-97) = -101", "Divide: -101 / 79 = -101/79", "Divide: -389 / (-101/79) = 30731/101"], "final_answer": "30731/101", "answer_type": "rational", "kind": "expression", "math_text": "(28 - (8 + 409)) / ((-4 + (-97)) / 79)", "variable": null, "family": "expression_5op", "shape": "(/ (- n (+ n n)) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 8, \"c\": 409, \"d\": -4, \"e\": -97, \"f\": 79}", "seed": "5697111341679844059", "semantic_fingerprint": "sha256:2779221e812d6ad491148d926c6228684d96d55a94cc54bac8318bf164945193", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003635", "prompt": "Calculate: 161 + ((-66 + (-9)) * (-2) + 0)", "solution_steps": ["Add: -66 + (-9) = -75", "Multiply: -75 * (-2) = 150", "Add: 150 + 0 = 150", "Add: 161 + 150 = 311"], "final_answer": "311", "answer_type": "integer", "kind": "expression", "math_text": "161 + ((-66 + (-9)) * (-2) + 0)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 161, \"b\": -66, \"c\": -9, \"d\": -2, \"e\": 0}", "seed": "15973580256094194254", "semantic_fingerprint": "sha256:ffc60622e5415fdadd83b69c712e48ce6d5899ba44d11448f651389a29801729", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003636", "prompt": "Solve the equation 4(x - 18) + 6 = 5x + 5 for x.", "solution_steps": ["Expand: 4x - 72 + 6 = 5x + 5", "Combine constants: 4x - 66 = 5x + 5", "Subtract 5x from both sides: -x - 66 = 5", "Add 66 to both sides: -x = 71", "Divide both sides by -1: x = -71"], "final_answer": "-71", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 18) + 6 = 5x + 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 18, \"c\": 6, \"d\": 5, \"e\": 5}", "seed": "9251543287687009860", "semantic_fingerprint": "sha256:18788fb2793c6a8ff30c2bd2ed65ba1a6be422daea9a3c8f1b30158c04cec8d2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003637", "prompt": "Find x: x - 4 = 6(x - 9) + 4", "solution_steps": ["Expand: x - 4 = 6x - 54 + 4", "Combine constants: x - 4 = 6x - 50", "Subtract 6x from both sides: -5x - 4 = -50", "Add 4 to both sides: -5x = -46", "Divide both sides by -5: x = 46/5"], "final_answer": "46/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 4 = 6(x - 9) + 4", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 9, \"d\": 4}", "seed": "18396749929194546192", "semantic_fingerprint": "sha256:f1a810b5bc1f52bf68dc034b675afec0f62c0cfdbe94ec9bdf98b64b57e89eed", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003638", "prompt": "What is 603 + 73 - 72 * (-123) / (-1)?", "solution_steps": ["Add: 603 + 73 = 676", "Multiply: 72 * (-123) = -8856", "Divide: -8856 / (-1) = 8856", "Subtract: 676 - 8856 = -8180"], "final_answer": "-8180", "answer_type": "integer", "kind": "expression", "math_text": "603 + 73 - 72 * (-123) / (-1)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 603, \"b\": 73, \"c\": 72, \"d\": -123, \"e\": -1}", "seed": "1323525262623480390", "semantic_fingerprint": "sha256:c026ee30d1713636eefc641613d45bd5660cf1f9d2f2ecb64e891450b773b1be", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003639", "prompt": "What value of x satisfies 5(x - 6) + 2 = 2(x + 2) - 71?", "solution_steps": ["Expand: 5x - 30 + 2 = 2(x + 2) - 71", "Expand: 5x - 30 + 2 = 2x + 4 - 71", "Combine constants: 5x - 28 = 2x + 4 - 71", "Combine constants: 5x - 28 = 2x - 67", "Subtract 2x from both sides: 3x - 28 = -67", "Add 28 to both sides: 3x = -39", "Divide both sides by 3: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 6) + 2 = 2(x + 2) - 71", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": 2, \"d\": 2, \"e\": 2, \"f\": 71}", "seed": "10840975716057932378", "semantic_fingerprint": "sha256:60398bcb364d26011e89667b54469c6df50da7eef3046cdeb1a10fde6856fd54", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003640", "prompt": "Solve for x: 5(x - 3) = 12x - 64", "solution_steps": ["Expand: 5x - 15 = 12x - 64", "Subtract 12x from both sides: -7x - 15 = -64", "Add 15 to both sides: -7x = -49", "Divide both sides by -7: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 3) = 12x - 64", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 12, \"e\": -64, \"x\": 7}", "seed": "14810431057223651554", "semantic_fingerprint": "sha256:1117d1d09a92a6e845e35f03b610d875b73fffb696dd9b7e897fed41869f0b3d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003641", "prompt": "Evaluate: 27 - (873 + 8 + 867) + (-481)", "solution_steps": ["Add: 873 + 8 = 881", "Add: 881 + 867 = 1748", "Subtract: 27 - 1748 = -1721", "Add: -1721 + (-481) = -2202"], "final_answer": "-2202", "answer_type": "integer", "kind": "expression", "math_text": "27 - (873 + 8 + 867) + (-481)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": 873, \"c\": 8, \"d\": 867, \"e\": -481}", "seed": "13682997692036388462", "semantic_fingerprint": "sha256:9b2d65a3117855115c91149a59a4cd38b328f96742f2dcab75cf523420af4547", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003642", "prompt": "What is 5 / (-1) - 3 - (-27)?", "solution_steps": ["Divide: 5 / (-1) = -5", "Subtract: -5 - 3 = -8", "Subtract: -8 - (-27) = 19"], "final_answer": "19", "answer_type": "integer", "kind": "expression", "math_text": "5 / (-1) - 3 - (-27)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -1, \"c\": 3, \"d\": -27}", "seed": "10978915538585142986", "semantic_fingerprint": "sha256:6b2e5167982c02cfe05ff58fb80f3d59adf7c3d2dddfdb60ca0889d88dc29509", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003643", "prompt": "What value of x satisfies 12(x - 43) - 71 = 6(x - 96) - 107?", "solution_steps": ["Expand: 12x - 516 - 71 = 6(x - 96) - 107", "Expand: 12x - 516 - 71 = 6x - 576 - 107", "Combine constants: 12x - 587 = 6x - 576 - 107", "Combine constants: 12x - 587 = 6x - 683", "Subtract 6x from both sides: 6x - 587 = -683", "Add 587 to both sides: 6x = -96", "Divide both sides by 6: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 43) - 71 = 6(x - 96) - 107", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 43, \"c\": 71, \"d\": 6, \"e\": 96, \"g\": -107, \"x\": -16}", "seed": "16289886816891075864", "semantic_fingerprint": "sha256:c7f0a5920942923b2be1c61c21a84b94ca1d77dee22874efb8daaf4d669787d3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003644", "prompt": "Compute: -99 + 21 - (-651 - (-9)) + 1", "solution_steps": ["Add: -99 + 21 = -78", "Subtract: -651 - (-9) = -642", "Subtract: -78 - (-642) = 564", "Add: 564 + 1 = 565"], "final_answer": "565", "answer_type": "integer", "kind": "expression", "math_text": "-99 + 21 - (-651 - (-9)) + 1", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": 21, \"c\": -651, \"d\": -9, \"e\": 1}", "seed": "8565348964664866103", "semantic_fingerprint": "sha256:2636d4c4cf3ea44d8e4a5fbc4194f5c70433bb07cdf249948636d960c9921ddc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003645", "prompt": "Solve the equation -2(x + 72) - 363 = x - 468 for x.", "solution_steps": ["Expand: -2x - 144 - 363 = x - 468", "Combine constants: -2x - 507 = x - 468", "Subtract x from both sides: -3x - 507 = -468", "Add 507 to both sides: -3x = 39", "Divide both sides by -3: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 72) - 363 = x - 468", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 72, \"c\": 363, \"e\": -468, \"x\": -13}", "seed": "10222137196126968723", "semantic_fingerprint": "sha256:7bd80f19fd1e5523d5f69fceac157dad83b3f5f9d522bd4b4f0576bb470ff100", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003646", "prompt": "Calculate: (-94 * 720 - 88) / (-94) + (-869 - 424)", "solution_steps": ["Multiply: -94 * 720 = -67680", "Subtract: -67680 - 88 = -67768", "Divide: -67768 / (-94) = 33884/47", "Subtract: -869 - 424 = -1293", "Add: 33884/47 + (-1293) = -26887/47"], "final_answer": "-26887/47", "answer_type": "rational", "kind": "expression", "math_text": "(-94 * 720 - 88) / (-94) + (-869 - 424)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (- (* n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": 720, \"c\": 88, \"d\": -94, \"e\": -869, \"f\": 424}", "seed": "1149049900016065184", "semantic_fingerprint": "sha256:ad6519395513aec2dfffae8bf29dd20bb535b82e9240de68ee260135e4d38fd6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003647", "prompt": "Evaluate: 818 / (-86 - 794 - (-2))", "solution_steps": ["Subtract: -86 - 794 = -880", "Subtract: -880 - (-2) = -878", "Divide: 818 / (-878) = -409/439"], "final_answer": "-409/439", "answer_type": "rational", "kind": "expression", "math_text": "818 / (-86 - 794 - (-2))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 818, \"b\": -86, \"c\": 794, \"d\": -2}", "seed": "5446745712008910885", "semantic_fingerprint": "sha256:c8345d55a641c8c17094b93879dabb06983249ebaa572b415058875215ad9f9c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003648", "prompt": "What is 0 / (-49) - 386 - (-884)?", "solution_steps": ["Divide: 0 / (-49) = 0", "Subtract: 0 - 386 = -386", "Subtract: -386 - (-884) = 498"], "final_answer": "498", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-49) - 386 - (-884)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -49, \"c\": 386, \"d\": -884}", "seed": "6688392136238800865", "semantic_fingerprint": "sha256:979b1c25039e9d07877c244142d8f06b3f645b64d61bded6e33d9a2c45c53a6f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003649", "prompt": "What is -95 * (17 * 229 + (-2)) + (-88)?", "solution_steps": ["Multiply: 17 * 229 = 3893", "Add: 3893 + (-2) = 3891", "Multiply: -95 * 3891 = -369645", "Add: -369645 + (-88) = -369733"], "final_answer": "-369733", "answer_type": "integer", "kind": "expression", "math_text": "-95 * (17 * 229 + (-2)) + (-88)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": 17, \"c\": 229, \"d\": -2, \"e\": -88}", "seed": "7284302781781802697", "semantic_fingerprint": "sha256:f567f201564725e3775bb8c38c66c32ec40120902eeeb3189784d232f886a1b5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003650", "prompt": "What value of x satisfies 7(x - 9) + 4 = -5x + 169?", "solution_steps": ["Expand: 7x - 63 + 4 = -5x + 169", "Combine constants: 7x - 59 = -5x + 169", "Add 5x to both sides: 12x - 59 = 169", "Add 59 to both sides: 12x = 228", "Divide both sides by 12: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 9) + 4 = -5x + 169", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 4, \"d\": -5, \"f\": 169, \"x\": 19}", "seed": "11473074448374890595", "semantic_fingerprint": "sha256:c91e12052369c0cfe235df6c927b0ccd04e50a18595f3b832070ae3d49de03c6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003651", "prompt": "Calculate: 32 + (-720) - (-8) + 28", "solution_steps": ["Add: 32 + (-720) = -688", "Subtract: -688 - (-8) = -680", "Add: -680 + 28 = -652"], "final_answer": "-652", "answer_type": "integer", "kind": "expression", "math_text": "32 + (-720) - (-8) + 28", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -720, \"c\": -8, \"d\": 28}", "seed": "2816734262037945828", "semantic_fingerprint": "sha256:88a29908aec54e32fae0794421d368a0dbfd5e1d0e3581e9f80648143ba55f56", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003652", "prompt": "Evaluate: -1 * ((-8 + (-7)) * (-1 + (-9)))", "solution_steps": ["Add: -8 + (-7) = -15", "Add: -1 + (-9) = -10", "Multiply: -15 * (-10) = 150", "Multiply: -1 * 150 = -150"], "final_answer": "-150", "answer_type": "integer", "kind": "expression", "math_text": "-1 * ((-8 + (-7)) * (-1 + (-9)))", "variable": null, "family": "expression_4op", "shape": "(* n (* (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -8, \"c\": -7, \"d\": -1, \"e\": -9}", "seed": "10250645615720487618", "semantic_fingerprint": "sha256:1a7da6f82115315b9719c1163ef5feea275ea3bec2206d8bffec4ec1222bf7a3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003653", "prompt": "Calculate: 3 * (-8) / (182 + (-77))", "solution_steps": ["Multiply: 3 * (-8) = -24", "Add: 182 + (-77) = 105", "Divide: -24 / 105 = -8/35"], "final_answer": "-8/35", "answer_type": "rational", "kind": "expression", "math_text": "3 * (-8) / (182 + (-77))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -8, \"c\": 182, \"d\": -77}", "seed": "15284785484885499854", "semantic_fingerprint": "sha256:9be97c8d38a78cb2d3c2e28313e2542f4fe9eedbc84ceaf349e23fa5ee91bd3b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003654", "prompt": "Solve for x: x - 62 = 8(x - 50) + 226", "solution_steps": ["Expand: x - 62 = 8x - 400 + 226", "Combine constants: x - 62 = 8x - 174", "Subtract 8x from both sides: -7x - 62 = -174", "Add 62 to both sides: -7x = -112", "Divide both sides by -7: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 62 = 8(x - 50) + 226", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": 8, \"c\": 50, \"e\": 226, \"x\": 16}", "seed": "17959153995960318657", "semantic_fingerprint": "sha256:480ad59b01de80dbae0b4b4abbcba20f475c68494d56b46da00fdcb808beca55", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003655", "prompt": "Solve for x: -6(x + 958) + 99 = 11(x + 1) - 1", "solution_steps": ["Expand: -6x - 5748 + 99 = 11(x + 1) - 1", "Expand: -6x - 5748 + 99 = 11x + 11 - 1", "Combine constants: -6x - 5649 = 11x + 11 - 1", "Combine constants: -6x - 5649 = 11x + 10", "Subtract 11x from both sides: -17x - 5649 = 10", "Add 5649 to both sides: -17x = 5659", "Divide both sides by -17: x = -5659/17"], "final_answer": "-5659/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x + 958) + 99 = 11(x + 1) - 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 958, \"c\": 99, \"d\": 11, \"e\": 1, \"f\": 1}", "seed": "1099331854957758583", "semantic_fingerprint": "sha256:91eb664825cae28574b394e75bfe50b78cf0836ae2ced6c7b3b45831c0cf10f3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003656", "prompt": "Calculate: -669 * (-53) - 883 + (594 + (2 + 0))", "solution_steps": ["Multiply: -669 * (-53) = 35457", "Subtract: 35457 - 883 = 34574", "Add: 2 + 0 = 2", "Add: 594 + 2 = 596", "Add: 34574 + 596 = 35170"], "final_answer": "35170", "answer_type": "integer", "kind": "expression", "math_text": "-669 * (-53) - 883 + (594 + (2 + 0))", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -669, \"b\": -53, \"c\": 883, \"d\": 594, \"e\": 2, \"f\": 0}", "seed": "3173053238269961386", "semantic_fingerprint": "sha256:47caea1a1d56f5cef362affd809635f9975383014ca857d4da42b35260dfafbe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003657", "prompt": "Calculate: (91 + (-15) + 20) / (72 / (-853))", "solution_steps": ["Add: 91 + (-15) = 76", "Add: 76 + 20 = 96", "Divide: 72 / (-853) = -72/853", "Divide: 96 / (-72/853) = -3412/3"], "final_answer": "-3412/3", "answer_type": "rational", "kind": "expression", "math_text": "(91 + (-15) + 20) / (72 / (-853))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -15, \"c\": 20, \"d\": 72, \"e\": -853}", "seed": "9269700316854045732", "semantic_fingerprint": "sha256:2b46fbce8a58137737a5337d363af151008b6f6faab70d408c558224618b1681", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003658", "prompt": "Find x: -7x - 8 = 10(x + 3) + 183", "solution_steps": ["Expand: -7x - 8 = 10x + 30 + 183", "Combine constants: -7x - 8 = 10x + 213", "Subtract 10x from both sides: -17x - 8 = 213", "Add 8 to both sides: -17x = 221", "Divide both sides by -17: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 8 = 10(x + 3) + 183", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 8, \"c\": 10, \"d\": 3, \"f\": 183, \"x\": -13}", "seed": "18148150138400070408", "semantic_fingerprint": "sha256:ee5fbb1f4b5abbc012daf695f9440e498334503548f01aa69bc52b0bdcb47c81", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003659", "prompt": "Compute: (-4 - 8) / (-7 * 233)", "solution_steps": ["Subtract: -4 - 8 = -12", "Multiply: -7 * 233 = -1631", "Divide: -12 / (-1631) = 12/1631"], "final_answer": "12/1631", "answer_type": "rational", "kind": "expression", "math_text": "(-4 - 8) / (-7 * 233)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 8, \"c\": -7, \"d\": 233}", "seed": "3809071052404313418", "semantic_fingerprint": "sha256:b9ae3a46e446d59b7306d99a19ca26898c2e9b2c676d08b67739ef3ed4d0e6e1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003660", "prompt": "Solve for x: 11(x - 75) - 5 = 8(x - 66)", "solution_steps": ["Expand: 11x - 825 - 5 = 8(x - 66)", "Expand: 11x - 825 - 5 = 8x - 528", "Combine constants: 11x - 830 = 8x - 528", "Subtract 8x from both sides: 3x - 830 = -528", "Add 830 to both sides: 3x = 302", "Divide both sides by 3: x = 302/3"], "final_answer": "302/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 75) - 5 = 8(x - 66)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 75, \"c\": 5, \"d\": 8, \"e\": 66}", "seed": "11047269477383142005", "semantic_fingerprint": "sha256:f2d2123e0c620c3ddefd6fd0ff62fd200b989ca2685eea8d65bbe26df2afefcf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003661", "prompt": "What is -13 / (8 * (-8 - (-4)) - (83 - 106))?", "solution_steps": ["Subtract: -8 - (-4) = -4", "Multiply: 8 * (-4) = -32", "Subtract: 83 - 106 = -23", "Subtract: -32 - (-23) = -9", "Divide: -13 / (-9) = 13/9"], "final_answer": "13/9", "answer_type": "rational", "kind": "expression", "math_text": "-13 / (8 * (-8 - (-4)) - (83 - 106))", "variable": null, "family": "expression_5op", "shape": "(/ n (- (* n (- n n)) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 8, \"c\": -8, \"d\": -4, \"e\": 83, \"f\": 106}", "seed": "750182266057691249", "semantic_fingerprint": "sha256:c76e063c33afc516ba26e6b9bcec523ee7eb48893292e6ebd76afc087e464611", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003662", "prompt": "Compute: (-852 + (-70) * 346) / (-96 * 992)", "solution_steps": ["Multiply: -70 * 346 = -24220", "Add: -852 + (-24220) = -25072", "Multiply: -96 * 992 = -95232", "Divide: -25072 / (-95232) = 1567/5952"], "final_answer": "1567/5952", "answer_type": "rational", "kind": "expression", "math_text": "(-852 + (-70) * 346) / (-96 * 992)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -852, \"b\": -70, \"c\": 346, \"d\": -96, \"e\": 992}", "seed": "516914084934084676", "semantic_fingerprint": "sha256:f1d03c1631a86e4fbcf4b9d83ccfaa06fa8e72322042d31535c860a522393c05", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003663", "prompt": "Find x: -2(x + 708) + 824 = -5(x + 1) - 551", "solution_steps": ["Expand: -2x - 1416 + 824 = -5(x + 1) - 551", "Expand: -2x - 1416 + 824 = -5x - 5 - 551", "Combine constants: -2x - 592 = -5x - 5 - 551", "Combine constants: -2x - 592 = -5x - 556", "Add 5x to both sides: 3x - 592 = -556", "Add 592 to both sides: 3x = 36", "Divide both sides by 3: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 708) + 824 = -5(x + 1) - 551", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 708, \"c\": 824, \"d\": -5, \"e\": 1, \"g\": -551, \"x\": 12}", "seed": "10456747469964700845", "semantic_fingerprint": "sha256:790cde78d44a45f136e0658618327a825fc2ff19704779e32c97a5fbbeca2ffd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003664", "prompt": "Evaluate: 668 / (25 - 24 - 0)", "solution_steps": ["Subtract: 25 - 24 = 1", "Subtract: 1 - 0 = 1", "Divide: 668 / 1 = 668"], "final_answer": "668", "answer_type": "integer", "kind": "expression", "math_text": "668 / (25 - 24 - 0)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 668, \"b\": 25, \"c\": 24, \"d\": 0}", "seed": "5981270330825526503", "semantic_fingerprint": "sha256:4397718df005f1e61e9f80798058a88f2fbc3845aff7ba85fc303385f73c145d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003665", "prompt": "Calculate: (43 - 35) * (-86 * 204)", "solution_steps": ["Subtract: 43 - 35 = 8", "Multiply: -86 * 204 = -17544", "Multiply: 8 * (-17544) = -140352"], "final_answer": "-140352", "answer_type": "integer", "kind": "expression", "math_text": "(43 - 35) * (-86 * 204)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": 35, \"c\": -86, \"d\": 204}", "seed": "18337768257347449421", "semantic_fingerprint": "sha256:ccdd6f5886e197abb870e577df39d9c6992c68ea0e83317b329a14878227609a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003666", "prompt": "Compute: (-401 / 2 - (-391) * 5) * (-28)", "solution_steps": ["Divide: -401 / 2 = -401/2", "Multiply: -391 * 5 = -1955", "Subtract: -401/2 - (-1955) = 3509/2", "Multiply: (3509/2) * (-28) = -49126"], "final_answer": "-49126", "answer_type": "integer", "kind": "expression", "math_text": "(-401 / 2 - (-391) * 5) * (-28)", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -401, \"b\": 2, \"c\": -391, \"d\": 5, \"e\": -28}", "seed": "9843302908906218152", "semantic_fingerprint": "sha256:98470492c6d728bf4500626ce84623dd3146fa0c54588b6df61abffd0df89a3e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003667", "prompt": "Evaluate: -43 + 405 + 1 / 41 * (828 + (-67))", "solution_steps": ["Add: -43 + 405 = 362", "Divide: 1 / 41 = 1/41", "Add: 828 + (-67) = 761", "Multiply: (1/41) * 761 = 761/41", "Add: 362 + 761/41 = 15603/41"], "final_answer": "15603/41", "answer_type": "rational", "kind": "expression", "math_text": "-43 + 405 + 1 / 41 * (828 + (-67))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (* (/ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 405, \"c\": 1, \"d\": 41, \"e\": 828, \"f\": -67}", "seed": "5571473017312592355", "semantic_fingerprint": "sha256:b17a9ace58b8767fb81893630182ea4c578d63084d5fd7a5bc4bcfe71ff723d0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003668", "prompt": "Find x: -4(x - 87) - 336 = -8(x - 8)", "solution_steps": ["Expand: -4x + 348 - 336 = -8(x - 8)", "Expand: -4x + 348 - 336 = -8x + 64", "Combine constants: -4x + 12 = -8x + 64", "Add 8x to both sides: 4x + 12 = 64", "Subtract 12 from both sides: 4x = 52", "Divide both sides by 4: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 87) - 336 = -8(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 87, \"c\": -8, \"d\": 8, \"f\": -336, \"x\": 13}", "seed": "16801837366360929936", "semantic_fingerprint": "sha256:6b16587f7988705c45d4c50a3227970607f2d92c01054e5f8db8be4cfcd070a1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003669", "prompt": "Calculate: (3 - 74) * (6 * (-935))", "solution_steps": ["Subtract: 3 - 74 = -71", "Multiply: 6 * (-935) = -5610", "Multiply: -71 * (-5610) = 398310"], "final_answer": "398310", "answer_type": "integer", "kind": "expression", "math_text": "(3 - 74) * (6 * (-935))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 74, \"c\": 6, \"d\": -935}", "seed": "1134440746145102921", "semantic_fingerprint": "sha256:694c58faaba3925e2d9bd3a7ca53e04f4dfbe29cbe1a28f7703347ef1cb76121", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003670", "prompt": "Solve for x: 6(x + 628) - 98 = x - 7", "solution_steps": ["Expand: 6x + 3768 - 98 = x - 7", "Combine constants: 6x + 3670 = x - 7", "Subtract x from both sides: 5x + 3670 = -7", "Subtract 3670 from both sides: 5x = -3677", "Divide both sides by 5: x = -3677/5"], "final_answer": "-3677/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 628) - 98 = x - 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 628, \"c\": 98, \"d\": 7}", "seed": "4584792650692913382", "semantic_fingerprint": "sha256:55594f2b9c9e7878747aa1380e3d3535e26ebdbf5a42b8a4ee210d7faeefed6b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003671", "prompt": "What value of x satisfies -6(x - 63) + 20 = -2x + 466?", "solution_steps": ["Expand: -6x + 378 + 20 = -2x + 466", "Combine constants: -6x + 398 = -2x + 466", "Add 2x to both sides: -4x + 398 = 466", "Subtract 398 from both sides: -4x = 68", "Divide both sides by -4: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 63) + 20 = -2x + 466", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 63, \"c\": 20, \"d\": -2, \"f\": 466, \"x\": -17}", "seed": "6229888896677044022", "semantic_fingerprint": "sha256:a4c6bd93cab3778d005189b731de7c3633618458396358f1fbcd8bbd29f0d968", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003672", "prompt": "Solve the equation -5(x - 113) + 655 = 12x + 982 for x.", "solution_steps": ["Expand: -5x + 565 + 655 = 12x + 982", "Combine constants: -5x + 1220 = 12x + 982", "Subtract 12x from both sides: -17x + 1220 = 982", "Subtract 1220 from both sides: -17x = -238", "Divide both sides by -17: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 113) + 655 = 12x + 982", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 113, \"c\": 655, \"d\": 12, \"f\": 982, \"x\": 14}", "seed": "3782237958657072004", "semantic_fingerprint": "sha256:f0d6d6e6f61cdc90d9149d3e4a2aaeef795c8f015881c9d83bc1a75d8c6d4afa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003673", "prompt": "Find x: x - 96 = 4(x - 24) + 4", "solution_steps": ["Expand: x - 96 = 4x - 96 + 4", "Combine constants: x - 96 = 4x - 92", "Subtract 4x from both sides: -3x - 96 = -92", "Add 96 to both sides: -3x = 4", "Divide both sides by -3: x = -4/3"], "final_answer": "-4/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 96 = 4(x - 24) + 4", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 4, \"c\": 24, \"d\": 4}", "seed": "12245971654957990428", "semantic_fingerprint": "sha256:fdec075b0846df7d031fdb0a9fad588162f8e5af7a58b10a46e382f32c20ccfa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003674", "prompt": "Solve the equation 5(x - 684) + 886 = 3(x - 840) for x.", "solution_steps": ["Expand: 5x - 3420 + 886 = 3(x - 840)", "Expand: 5x - 3420 + 886 = 3x - 2520", "Combine constants: 5x - 2534 = 3x - 2520", "Subtract 3x from both sides: 2x - 2534 = -2520", "Add 2534 to both sides: 2x = 14", "Divide both sides by 2: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 684) + 886 = 3(x - 840)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 684, \"c\": 3, \"d\": 840, \"f\": 886, \"x\": 7}", "seed": "5845082835954651278", "semantic_fingerprint": "sha256:50ed83ded15ec7db2ce7fae66d05557f627497938aca6b425913d677f672abf8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003675", "prompt": "Evaluate: 59 - (-43) * (-5) - (-8)", "solution_steps": ["Multiply: -43 * (-5) = 215", "Subtract: 59 - 215 = -156", "Subtract: -156 - (-8) = -148"], "final_answer": "-148", "answer_type": "integer", "kind": "expression", "math_text": "59 - (-43) * (-5) - (-8)", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": -43, \"c\": -5, \"d\": -8}", "seed": "7732486493770731853", "semantic_fingerprint": "sha256:8fd1a979566ee5c48491240e9afc765457d8035990dd9016e1c766ad26e58d52", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003676", "prompt": "Calculate: 856 / 2 + (-4 / (680 / 826) + (-8))", "solution_steps": ["Divide: 856 / 2 = 428", "Divide: 680 / 826 = 340/413", "Divide: -4 / (340/413) = -413/85", "Add: -413/85 + (-8) = -1093/85", "Add: 428 + (-1093/85) = 35287/85"], "final_answer": "35287/85", "answer_type": "rational", "kind": "expression", "math_text": "856 / 2 + (-4 / (680 / 826) + (-8))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (+ (/ n (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 856, \"b\": 2, \"c\": -4, \"d\": 680, \"e\": 826, \"f\": -8}", "seed": "10919814965319568768", "semantic_fingerprint": "sha256:7fc0093b8a79cc8a226b21bb850c1703d245864c67fe32b40d517701c04bcd18", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003677", "prompt": "Find x: x - 757 = -5(x - 68) + 262", "solution_steps": ["Expand: x - 757 = -5x + 340 + 262", "Combine constants: x - 757 = -5x + 602", "Add 5x to both sides: 6x - 757 = 602", "Add 757 to both sides: 6x = 1359", "Divide both sides by 6: x = 453/2"], "final_answer": "453/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 757 = -5(x - 68) + 262", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 757, \"b\": -5, \"c\": 68, \"d\": 262}", "seed": "16650237558101972968", "semantic_fingerprint": "sha256:9365ad88ac7f71ad431fe9cec6a83bbd1b765585beec54262f433d52ac663f01", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003678", "prompt": "Calculate: -89 / (-2) + (-2 + (-57 - (-54)) * (-1))", "solution_steps": ["Divide: -89 / (-2) = 89/2", "Subtract: -57 - (-54) = -3", "Multiply: -3 * (-1) = 3", "Add: -2 + 3 = 1", "Add: 89/2 + 1 = 91/2"], "final_answer": "91/2", "answer_type": "rational", "kind": "expression", "math_text": "-89 / (-2) + (-2 + (-57 - (-54)) * (-1))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (+ n (* (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": -2, \"c\": -2, \"d\": -57, \"e\": -54, \"f\": -1}", "seed": "3598127304907155868", "semantic_fingerprint": "sha256:a83ea248655657c83515abbcd834bcbccef6b287900d7fbc6738eb915f2cdc42", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003679", "prompt": "What value of x satisfies 12(x - 42) - 86 = 3(x - 51) - 311?", "solution_steps": ["Expand: 12x - 504 - 86 = 3(x - 51) - 311", "Expand: 12x - 504 - 86 = 3x - 153 - 311", "Combine constants: 12x - 590 = 3x - 153 - 311", "Combine constants: 12x - 590 = 3x - 464", "Subtract 3x from both sides: 9x - 590 = -464", "Add 590 to both sides: 9x = 126", "Divide both sides by 9: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 42) - 86 = 3(x - 51) - 311", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 42, \"c\": 86, \"d\": 3, \"e\": 51, \"g\": -311, \"x\": 14}", "seed": "9558796615366972384", "semantic_fingerprint": "sha256:85f29881c7fe76c027473faf2a1feac19bed431e7ebabab84963f56b58d9fe2b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003680", "prompt": "What is 2 + (622 * 601 - 9)?", "solution_steps": ["Multiply: 622 * 601 = 373822", "Subtract: 373822 - 9 = 373813", "Add: 2 + 373813 = 373815"], "final_answer": "373815", "answer_type": "integer", "kind": "expression", "math_text": "2 + (622 * 601 - 9)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 622, \"c\": 601, \"d\": 9}", "seed": "18420122193943742312", "semantic_fingerprint": "sha256:6074ddf9e516eba91e843cc3464c16f2c152b81cd34a7215c7948dd1658c0050", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003681", "prompt": "Calculate: (-11 - 46) / (74 * 6)", "solution_steps": ["Subtract: -11 - 46 = -57", "Multiply: 74 * 6 = 444", "Divide: -57 / 444 = -19/148"], "final_answer": "-19/148", "answer_type": "rational", "kind": "expression", "math_text": "(-11 - 46) / (74 * 6)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 46, \"c\": 74, \"d\": 6}", "seed": "53495572249727932", "semantic_fingerprint": "sha256:27f17f482caa0bbb00c92fa5134f73652d966e12ba1ea7b0b9890055c85afdf8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003682", "prompt": "What is (1 + 91) * 4 / (-8) * 15?", "solution_steps": ["Add: 1 + 91 = 92", "Multiply: 92 * 4 = 368", "Divide: 368 / (-8) = -46", "Multiply: -46 * 15 = -690"], "final_answer": "-690", "answer_type": "integer", "kind": "expression", "math_text": "(1 + 91) * 4 / (-8) * 15", "variable": null, "family": "expression_4op", "shape": "(* (/ (* (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 91, \"c\": 4, \"d\": -8, \"e\": 15}", "seed": "3834019357756227642", "semantic_fingerprint": "sha256:b3666c150492d6ad3a11de29e08a00b6b14b17f8f6f5f220d44dc87a67e897b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003683", "prompt": "Compute: -1 + (-87 * 1 - (-81))", "solution_steps": ["Multiply: -87 * 1 = -87", "Subtract: -87 - (-81) = -6", "Add: -1 + (-6) = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (-87 * 1 - (-81))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -87, \"c\": 1, \"d\": -81}", "seed": "9366555182464246429", "semantic_fingerprint": "sha256:facba3bf5d22ac6a0c049fd3e64695d8bfa5b013faf6d3317c543e9b6d423ce6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003684", "prompt": "Calculate: -58 / (-29 + 98 / (-6) + (991 + 83))", "solution_steps": ["Divide: 98 / (-6) = -49/3", "Add: -29 + (-49/3) = -136/3", "Add: 991 + 83 = 1074", "Add: -136/3 + 1074 = 3086/3", "Divide: -58 / (3086/3) = -87/1543"], "final_answer": "-87/1543", "answer_type": "rational", "kind": "expression", "math_text": "-58 / (-29 + 98 / (-6) + (991 + 83))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (+ n (/ n n)) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": -29, \"c\": 98, \"d\": -6, \"e\": 991, \"f\": 83}", "seed": "993965018162355193", "semantic_fingerprint": "sha256:5405e99328ca3c4d516f8bf0189c8ec5a440f567a0d4a265267d65d925c9640f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003685", "prompt": "What value of x satisfies x - 66 = -6(x - 3) + 524?", "solution_steps": ["Expand: x - 66 = -6x + 18 + 524", "Combine constants: x - 66 = -6x + 542", "Add 6x to both sides: 7x - 66 = 542", "Add 66 to both sides: 7x = 608", "Divide both sides by 7: x = 608/7"], "final_answer": "608/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 66 = -6(x - 3) + 524", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -6, \"c\": 3, \"d\": 524}", "seed": "9926246084012216688", "semantic_fingerprint": "sha256:fddf50cd7a2f69a29b1e902361245f42c06cac239ac626eadd9ae07f4a17fd1c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003686", "prompt": "Solve the equation 8(x - 8) - 63 = 10(x - 94) for x.", "solution_steps": ["Expand: 8x - 64 - 63 = 10(x - 94)", "Expand: 8x - 64 - 63 = 10x - 940", "Combine constants: 8x - 127 = 10x - 940", "Subtract 10x from both sides: -2x - 127 = -940", "Add 127 to both sides: -2x = -813", "Divide both sides by -2: x = 813/2"], "final_answer": "813/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 8) - 63 = 10(x - 94)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": 63, \"d\": 10, \"e\": 94}", "seed": "14212308500019472259", "semantic_fingerprint": "sha256:4c9a53c6a6aaa8bd2352b4db27d6d0daa1aa18f542d58fdd7d12df2a1b467846", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003687", "prompt": "What value of x satisfies 5(x - 61) - 8 = 10(x - 11) - 223?", "solution_steps": ["Expand: 5x - 305 - 8 = 10(x - 11) - 223", "Expand: 5x - 305 - 8 = 10x - 110 - 223", "Combine constants: 5x - 313 = 10x - 110 - 223", "Combine constants: 5x - 313 = 10x - 333", "Subtract 10x from both sides: -5x - 313 = -333", "Add 313 to both sides: -5x = -20", "Divide both sides by -5: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 61) - 8 = 10(x - 11) - 223", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 61, \"c\": 8, \"d\": 10, \"e\": 11, \"g\": -223, \"x\": 4}", "seed": "7658391016368495891", "semantic_fingerprint": "sha256:34701c33e597ff2563b830a0299e0cfa0b214299d8d92ea2d6720298cdf278ad", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003688", "prompt": "Compute: -8 * (44 + 41 + (-55)) + (-873)", "solution_steps": ["Add: 44 + 41 = 85", "Add: 85 + (-55) = 30", "Multiply: -8 * 30 = -240", "Add: -240 + (-873) = -1113"], "final_answer": "-1113", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (44 + 41 + (-55)) + (-873)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 44, \"c\": 41, \"d\": -55, \"e\": -873}", "seed": "1846731633473180084", "semantic_fingerprint": "sha256:af1e88f67bc60dd3a8f485f2f880534272d2a270c42303b6838b4422421cf24d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003689", "prompt": "Compute: (-69 + 7) / (435 - 59) + 49", "solution_steps": ["Add: -69 + 7 = -62", "Subtract: 435 - 59 = 376", "Divide: -62 / 376 = -31/188", "Add: -31/188 + 49 = 9181/188"], "final_answer": "9181/188", "answer_type": "rational", "kind": "expression", "math_text": "(-69 + 7) / (435 - 59) + 49", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": 7, \"c\": 435, \"d\": 59, \"e\": 49}", "seed": "14275061463165237502", "semantic_fingerprint": "sha256:829ac95db482f4e6f8ccd8c13e06afb214ebddce51039e846b10edd884adb4e1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003690", "prompt": "What value of x satisfies 7(x - 765) = 11x - 7?", "solution_steps": ["Expand: 7x - 5355 = 11x - 7", "Subtract 11x from both sides: -4x - 5355 = -7", "Add 5355 to both sides: -4x = 5348", "Divide both sides by -4: x = -1337"], "final_answer": "-1337", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 765) = 11x - 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 765, \"c\": 11, \"d\": 7}", "seed": "3597862264120534921", "semantic_fingerprint": "sha256:130a91654ec41c86cdfa23672d3a101d5f9f02a6faf65e7b91e8f03fd750b8c4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003691", "prompt": "What is -42 * (-1) * 5 / (-3 - (-76))?", "solution_steps": ["Multiply: -42 * (-1) = 42", "Multiply: 42 * 5 = 210", "Subtract: -3 - (-76) = 73", "Divide: 210 / 73 = 210/73"], "final_answer": "210/73", "answer_type": "rational", "kind": "expression", "math_text": "-42 * (-1) * 5 / (-3 - (-76))", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": -1, \"c\": 5, \"d\": -3, \"e\": -76}", "seed": "8746805476253513433", "semantic_fingerprint": "sha256:544d30ea91aa8ec02391112ae23708bad9e57925126c2e263555e222e1bd5d51", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003692", "prompt": "What is -94 / (-74) - 63 - (-9)?", "solution_steps": ["Divide: -94 / (-74) = 47/37", "Subtract: 47/37 - 63 = -2284/37", "Subtract: -2284/37 - (-9) = -1951/37"], "final_answer": "-1951/37", "answer_type": "rational", "kind": "expression", "math_text": "-94 / (-74) - 63 - (-9)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": -74, \"c\": 63, \"d\": -9}", "seed": "15498053032597294345", "semantic_fingerprint": "sha256:0f07b183602a2c389a436b23bb7dbf53ae6eee82e6b3ea49b572e0ec80782e0f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003693", "prompt": "What is 3 * 201 * (-4) / (7 / (-43))?", "solution_steps": ["Multiply: 3 * 201 = 603", "Multiply: 603 * (-4) = -2412", "Divide: 7 / (-43) = -7/43", "Divide: -2412 / (-7/43) = 103716/7"], "final_answer": "103716/7", "answer_type": "rational", "kind": "expression", "math_text": "3 * 201 * (-4) / (7 / (-43))", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 201, \"c\": -4, \"d\": 7, \"e\": -43}", "seed": "13902899525312049268", "semantic_fingerprint": "sha256:c117091a532ce32facd2d9fd2b549492ba15995105499e301f76df2b588c4f47", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003694", "prompt": "Calculate: (-53 - 43 - 20 * 75) / (-430) - 62", "solution_steps": ["Subtract: -53 - 43 = -96", "Multiply: 20 * 75 = 1500", "Subtract: -96 - 1500 = -1596", "Divide: -1596 / (-430) = 798/215", "Subtract: 798/215 - 62 = -12532/215"], "final_answer": "-12532/215", "answer_type": "rational", "kind": "expression", "math_text": "(-53 - 43 - 20 * 75) / (-430) - 62", "variable": null, "family": "expression_5op", "shape": "(- (/ (- (- n n) (* n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": 43, \"c\": 20, \"d\": 75, \"e\": -430, \"f\": 62}", "seed": "14937093943932611783", "semantic_fingerprint": "sha256:fc31a1f82498be7e65c83aeab1884f37ccff2b3b7669463b96d2d5fc4e3803ac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003695", "prompt": "Evaluate: -22 / (-3) * (-5) / 83 * (-62)", "solution_steps": ["Divide: -22 / (-3) = 22/3", "Multiply: (22/3) * (-5) = -110/3", "Divide: (-110/3) / 83 = -110/249", "Multiply: (-110/249) * (-62) = 6820/249"], "final_answer": "6820/249", "answer_type": "rational", "kind": "expression", "math_text": "-22 / (-3) * (-5) / 83 * (-62)", "variable": null, "family": "expression_4op", "shape": "(* (/ (* (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": -3, \"c\": -5, \"d\": 83, \"e\": -62}", "seed": "10724225798173089702", "semantic_fingerprint": "sha256:05a540ddf4a1951a8eebb0bff444411c886fadafe1bb936a336fbb0adba077ad", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003696", "prompt": "Calculate: 43 - (-59) + 1 + (8 + (-42))", "solution_steps": ["Subtract: 43 - (-59) = 102", "Add: 102 + 1 = 103", "Add: 8 + (-42) = -34", "Add: 103 + (-34) = 69"], "final_answer": "69", "answer_type": "integer", "kind": "expression", "math_text": "43 - (-59) + 1 + (8 + (-42))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": -59, \"c\": 1, \"d\": 8, \"e\": -42}", "seed": "1318028352771180056", "semantic_fingerprint": "sha256:ed7e7e1d1280e1eaa987e197c8bd9790456f2725919d7226c1514b895b066e24", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003697", "prompt": "Calculate: 38 / (32 * (-95)) - (-8)", "solution_steps": ["Multiply: 32 * (-95) = -3040", "Divide: 38 / (-3040) = -1/80", "Subtract: -1/80 - (-8) = 639/80"], "final_answer": "639/80", "answer_type": "rational", "kind": "expression", "math_text": "38 / (32 * (-95)) - (-8)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 32, \"c\": -95, \"d\": -8}", "seed": "6397028480989779737", "semantic_fingerprint": "sha256:d22789b23e5804b4c5c82c96358ba1ae61b9c120eea94ae09ec2381a2ae4e74c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003698", "prompt": "What is -733 + (18 + 910 / (-22 * (-4 / (-320))))?", "solution_steps": ["Divide: -4 / (-320) = 1/80", "Multiply: -22 * (1/80) = -11/40", "Divide: 910 / (-11/40) = -36400/11", "Add: 18 + (-36400/11) = -36202/11", "Add: -733 + (-36202/11) = -44265/11"], "final_answer": "-44265/11", "answer_type": "rational", "kind": "expression", "math_text": "-733 + (18 + 910 / (-22 * (-4 / (-320))))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ n (/ n (* n (/ n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -733, \"b\": 18, \"c\": 910, \"d\": -22, \"e\": -4, \"f\": -320}", "seed": "4264759447463523560", "semantic_fingerprint": "sha256:ae6833225935b33a445c215140632e1cd60d8bcb771a3a5d3820fd17fcb45b11", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003699", "prompt": "Evaluate: 561 / (-644) - (6 * 8 + (-28))", "solution_steps": ["Divide: 561 / (-644) = -561/644", "Multiply: 6 * 8 = 48", "Add: 48 + (-28) = 20", "Subtract: -561/644 - 20 = -13441/644"], "final_answer": "-13441/644", "answer_type": "rational", "kind": "expression", "math_text": "561 / (-644) - (6 * 8 + (-28))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 561, \"b\": -644, \"c\": 6, \"d\": 8, \"e\": -28}", "seed": "2045523126182370865", "semantic_fingerprint": "sha256:1d9494a310a97e2fa5223bcb88d1c651b95b2e17c2529896b3eb285b64314600", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003700", "prompt": "Solve for x: 7(x - 142) - 3 = 6(x - 2) - 967", "solution_steps": ["Expand: 7x - 994 - 3 = 6(x - 2) - 967", "Expand: 7x - 994 - 3 = 6x - 12 - 967", "Combine constants: 7x - 997 = 6x - 12 - 967", "Combine constants: 7x - 997 = 6x - 979", "Subtract 6x from both sides: x - 997 = -979", "Add 997 to both sides: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 142) - 3 = 6(x - 2) - 967", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 142, \"c\": 3, \"d\": 6, \"e\": 2, \"g\": -967, \"x\": 18}", "seed": "16118266490803704776", "semantic_fingerprint": "sha256:29e63bfba614781d232c633ba925717e8e972311b6d58084c70c327a50ceb1d2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003701", "prompt": "What value of x satisfies 4(x - 2) + 18 = 7(x - 2)?", "solution_steps": ["Expand: 4x - 8 + 18 = 7(x - 2)", "Expand: 4x - 8 + 18 = 7x - 14", "Combine constants: 4x + 10 = 7x - 14", "Subtract 7x from both sides: -3x + 10 = -14", "Subtract 10 from both sides: -3x = -24", "Divide both sides by -3: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 2) + 18 = 7(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": 7, \"d\": 2, \"f\": 18, \"x\": 8}", "seed": "15801422161173450794", "semantic_fingerprint": "sha256:ebc42dce87cec0695adb91f2323d8ddc49545fc566d0579323ce051d4343584c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003702", "prompt": "Solve the equation 8(x + 2) - 892 = x - 953 for x.", "solution_steps": ["Expand: 8x + 16 - 892 = x - 953", "Combine constants: 8x - 876 = x - 953", "Subtract x from both sides: 7x - 876 = -953", "Add 876 to both sides: 7x = -77", "Divide both sides by 7: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 2) - 892 = x - 953", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 892, \"e\": -953, \"x\": -11}", "seed": "14477551269759727358", "semantic_fingerprint": "sha256:39b90baf24855c9e816a057034c692d660923115bddd364ea6b35aeaf639c016", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003703", "prompt": "Solve for x: -8(x - 19) + 6 = 6x + 438", "solution_steps": ["Expand: -8x + 152 + 6 = 6x + 438", "Combine constants: -8x + 158 = 6x + 438", "Subtract 6x from both sides: -14x + 158 = 438", "Subtract 158 from both sides: -14x = 280", "Divide both sides by -14: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 19) + 6 = 6x + 438", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 19, \"c\": 6, \"d\": 6, \"f\": 438, \"x\": -20}", "seed": "13760506328313962857", "semantic_fingerprint": "sha256:7fec0bad3ec2ea301c09c947ca72032a01320faad9f31e63ecd1dd338d1853ea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003704", "prompt": "Compute: (5 - 0 / (-92)) / 18", "solution_steps": ["Divide: 0 / (-92) = 0", "Subtract: 5 - 0 = 5", "Divide: 5 / 18 = 5/18"], "final_answer": "5/18", "answer_type": "rational", "kind": "expression", "math_text": "(5 - 0 / (-92)) / 18", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 0, \"c\": -92, \"d\": 18}", "seed": "13698502715594757784", "semantic_fingerprint": "sha256:6236fbd67be11ac0f6f98a60ed477a9f7831a44422b45cd856b7cc87e2fd38fb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003705", "prompt": "What is -36 - (1 + (-74)) / 2 * 5?", "solution_steps": ["Add: 1 + (-74) = -73", "Divide: -73 / 2 = -73/2", "Multiply: (-73/2) * 5 = -365/2", "Subtract: -36 - (-365/2) = 293/2"], "final_answer": "293/2", "answer_type": "rational", "kind": "expression", "math_text": "-36 - (1 + (-74)) / 2 * 5", "variable": null, "family": "expression_4op", "shape": "(- n (* (/ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": 1, \"c\": -74, \"d\": 2, \"e\": 5}", "seed": "7503912078692962433", "semantic_fingerprint": "sha256:629aabe079b136da7d714d325a7341e78bfd79417597ea3d0f592e5123a13704", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003706", "prompt": "What value of x satisfies 9(x - 8) + 5 = -5x + 213?", "solution_steps": ["Expand: 9x - 72 + 5 = -5x + 213", "Combine constants: 9x - 67 = -5x + 213", "Add 5x to both sides: 14x - 67 = 213", "Add 67 to both sides: 14x = 280", "Divide both sides by 14: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 8) + 5 = -5x + 213", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 5, \"d\": -5, \"f\": 213, \"x\": 20}", "seed": "12885012296060406452", "semantic_fingerprint": "sha256:385c847ec615a9656162afce6a3c443de900999e86e53dd31248cbe8e9864a8f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003707", "prompt": "What value of x satisfies 6(x - 330) - 222 = 4(x - 551)?", "solution_steps": ["Expand: 6x - 1980 - 222 = 4(x - 551)", "Expand: 6x - 1980 - 222 = 4x - 2204", "Combine constants: 6x - 2202 = 4x - 2204", "Subtract 4x from both sides: 2x - 2202 = -2204", "Add 2202 to both sides: 2x = -2", "Divide both sides by 2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 330) - 222 = 4(x - 551)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 330, \"c\": 4, \"d\": 551, \"f\": -222, \"x\": -1}", "seed": "9225161098471405690", "semantic_fingerprint": "sha256:7ca67e7c3b4266ef1649bfab8a3794ddb1f45d3fba9112c05ef593f2bfc929e7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003708", "prompt": "Calculate: -8 / (-8) - (202 - (-72)) + 59 * 3", "solution_steps": ["Divide: -8 / (-8) = 1", "Subtract: 202 - (-72) = 274", "Subtract: 1 - 274 = -273", "Multiply: 59 * 3 = 177", "Add: -273 + 177 = -96"], "final_answer": "-96", "answer_type": "integer", "kind": "expression", "math_text": "-8 / (-8) - (202 - (-72)) + 59 * 3", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n n) (- n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -8, \"c\": 202, \"d\": -72, \"e\": 59, \"f\": 3}", "seed": "2291605780334278740", "semantic_fingerprint": "sha256:09d8fc4a684f99ce325bc392dcf67c06ee43e980ca9c63f30c4b22c31e048e37", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003709", "prompt": "What value of x satisfies -3(x - 599) + 47 = -9(x - 3)?", "solution_steps": ["Expand: -3x + 1797 + 47 = -9(x - 3)", "Expand: -3x + 1797 + 47 = -9x + 27", "Combine constants: -3x + 1844 = -9x + 27", "Add 9x to both sides: 6x + 1844 = 27", "Subtract 1844 from both sides: 6x = -1817", "Divide both sides by 6: x = -1817/6"], "final_answer": "-1817/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 599) + 47 = -9(x - 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 599, \"c\": 47, \"d\": -9, \"e\": 3}", "seed": "1566474240731637646", "semantic_fingerprint": "sha256:323ffa2592c1d4f1cc5729cf9f70b499e8d230416197ad5e202480e47afbf075", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003710", "prompt": "What is 70 - (4 + (0 - (-80)))?", "solution_steps": ["Subtract: 0 - (-80) = 80", "Add: 4 + 80 = 84", "Subtract: 70 - 84 = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "expression", "math_text": "70 - (4 + (0 - (-80)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": 4, \"c\": 0, \"d\": -80}", "seed": "2141730749644496376", "semantic_fingerprint": "sha256:d8d81427edd1dd6a3df140b04b3cc059c4459b22d30a88370e1011d6de956f37", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003711", "prompt": "Compute: -6 - (40 - (49 - (-1)))", "solution_steps": ["Subtract: 49 - (-1) = 50", "Subtract: 40 - 50 = -10", "Subtract: -6 - (-10) = 4"], "final_answer": "4", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (40 - (49 - (-1)))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 40, \"c\": 49, \"d\": -1}", "seed": "15836388348775470490", "semantic_fingerprint": "sha256:2fe9a97a925a5a0f4d0caea1d9e85de2a6152d891c836e1fb5d6b9a293f8cf50", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003712", "prompt": "What is -97 / (-3) + (5 - 421) - (-4)?", "solution_steps": ["Divide: -97 / (-3) = 97/3", "Subtract: 5 - 421 = -416", "Add: 97/3 + (-416) = -1151/3", "Subtract: -1151/3 - (-4) = -1139/3"], "final_answer": "-1139/3", "answer_type": "rational", "kind": "expression", "math_text": "-97 / (-3) + (5 - 421) - (-4)", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": -3, \"c\": 5, \"d\": 421, \"e\": -4}", "seed": "5017007431118582030", "semantic_fingerprint": "sha256:6c10507c6ba3138af251dad33a00f4bfc795d0716ddb5ed4d52131c5465e5cad", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003713", "prompt": "Find x: 8(x - 9) + 12 = 9(x + 182) - 5", "solution_steps": ["Expand: 8x - 72 + 12 = 9(x + 182) - 5", "Expand: 8x - 72 + 12 = 9x + 1638 - 5", "Combine constants: 8x - 60 = 9x + 1638 - 5", "Combine constants: 8x - 60 = 9x + 1633", "Subtract 9x from both sides: -x - 60 = 1633", "Add 60 to both sides: -x = 1693", "Divide both sides by -1: x = -1693"], "final_answer": "-1693", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 9) + 12 = 9(x + 182) - 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 12, \"d\": 9, \"e\": 182, \"f\": 5}", "seed": "12909899921102219318", "semantic_fingerprint": "sha256:9e20472409c0c63324c714d955daf54a6b502d48f96e2efc49e008721481e608", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003714", "prompt": "Compute: 135 * (-6 * (-9 - (-8)))", "solution_steps": ["Subtract: -9 - (-8) = -1", "Multiply: -6 * (-1) = 6", "Multiply: 135 * 6 = 810"], "final_answer": "810", "answer_type": "integer", "kind": "expression", "math_text": "135 * (-6 * (-9 - (-8)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 135, \"b\": -6, \"c\": -9, \"d\": -8}", "seed": "12509257550194704345", "semantic_fingerprint": "sha256:01aac21413fb2c8606bc10244de8875116c427d8bb6a976fe843dc79494df959", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003715", "prompt": "Solve the equation x - 203 = 5(x - 5) + 46 for x.", "solution_steps": ["Expand: x - 203 = 5x - 25 + 46", "Combine constants: x - 203 = 5x + 21", "Subtract 5x from both sides: -4x - 203 = 21", "Add 203 to both sides: -4x = 224", "Divide both sides by -4: x = -56"], "final_answer": "-56", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 203 = 5(x - 5) + 46", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 203, \"b\": 5, \"c\": 5, \"d\": 46}", "seed": "8088188433627046316", "semantic_fingerprint": "sha256:aa9dfb1878b2f68738456ee191efde167d1ed348533312690c899544006045fd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003716", "prompt": "Compute: -938 + (-84) - (5 + 961)", "solution_steps": ["Add: -938 + (-84) = -1022", "Add: 5 + 961 = 966", "Subtract: -1022 - 966 = -1988"], "final_answer": "-1988", "answer_type": "integer", "kind": "expression", "math_text": "-938 + (-84) - (5 + 961)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -938, \"b\": -84, \"c\": 5, \"d\": 961}", "seed": "4364392476998035444", "semantic_fingerprint": "sha256:effbc4be32e19773b7f5493939e2a35358cdd4103a0823c0539c63c7554b7f20", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003717", "prompt": "Calculate: 65 + (-52) / (41 - 28)", "solution_steps": ["Subtract: 41 - 28 = 13", "Divide: -52 / 13 = -4", "Add: 65 + (-4) = 61"], "final_answer": "61", "answer_type": "integer", "kind": "expression", "math_text": "65 + (-52) / (41 - 28)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -52, \"c\": 41, \"d\": 28}", "seed": "73192476718963672", "semantic_fingerprint": "sha256:7c51acf93913722c0cc031c50674f496a6adf9279e1ba480b239efb14a07361f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003718", "prompt": "Evaluate: -35 / 78 - 14 - 0", "solution_steps": ["Divide: -35 / 78 = -35/78", "Subtract: -35/78 - 14 = -1127/78", "Subtract: -1127/78 - 0 = -1127/78"], "final_answer": "-1127/78", "answer_type": "rational", "kind": "expression", "math_text": "-35 / 78 - 14 - 0", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": 78, \"c\": 14, \"d\": 0}", "seed": "11160583956797603563", "semantic_fingerprint": "sha256:b76580730df2f5ec445fcbf5b0fad90d581848719c42e227d596de6783673670", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003719", "prompt": "Calculate: -338 * (-1 / 63 / 9)", "solution_steps": ["Divide: -1 / 63 = -1/63", "Divide: (-1/63) / 9 = -1/567", "Multiply: -338 * (-1/567) = 338/567"], "final_answer": "338/567", "answer_type": "rational", "kind": "expression", "math_text": "-338 * (-1 / 63 / 9)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -338, \"b\": -1, \"c\": 63, \"d\": 9}", "seed": "7057387346064722142", "semantic_fingerprint": "sha256:2a413857909257aebcee0f506733c8a6b0934aebfab8f67170e5b3372e2afc84", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003720", "prompt": "Calculate: -61 - (-742 - (-17 * (-6) + (-6)))", "solution_steps": ["Multiply: -17 * (-6) = 102", "Add: 102 + (-6) = 96", "Subtract: -742 - 96 = -838", "Subtract: -61 - (-838) = 777"], "final_answer": "777", "answer_type": "integer", "kind": "expression", "math_text": "-61 - (-742 - (-17 * (-6) + (-6)))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (+ (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": -742, \"c\": -17, \"d\": -6, \"e\": -6}", "seed": "12892604405404593524", "semantic_fingerprint": "sha256:bf70b3012ab41e231fa06caefa831a6bea59433ef69bb06bcdca15eb1a91abdd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003721", "prompt": "Evaluate: (9 + (-15) + 744 / (-97)) / (-96)", "solution_steps": ["Add: 9 + (-15) = -6", "Divide: 744 / (-97) = -744/97", "Add: -6 + (-744/97) = -1326/97", "Divide: (-1326/97) / (-96) = 221/1552"], "final_answer": "221/1552", "answer_type": "rational", "kind": "expression", "math_text": "(9 + (-15) + 744 / (-97)) / (-96)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -15, \"c\": 744, \"d\": -97, \"e\": -96}", "seed": "7598811043427216892", "semantic_fingerprint": "sha256:5d041de63907c8300dc073fd5f329fdc66153c5a276614b03200f32a0165646f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003722", "prompt": "Solve the equation -9(x - 11) - 709 = 11(x - 57) for x.", "solution_steps": ["Expand: -9x + 99 - 709 = 11(x - 57)", "Expand: -9x + 99 - 709 = 11x - 627", "Combine constants: -9x - 610 = 11x - 627", "Subtract 11x from both sides: -20x - 610 = -627", "Add 610 to both sides: -20x = -17", "Divide both sides by -20: x = 17/20"], "final_answer": "17/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 11) - 709 = 11(x - 57)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 11, \"c\": 709, \"d\": 11, \"e\": 57}", "seed": "11726992570472428702", "semantic_fingerprint": "sha256:06dd6d958ad2ca869c73e087a3e60df59ef2243ac3023b8f7102702afbdfaf7f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003723", "prompt": "Evaluate: (23 - 32 - 640) / (36 / (-4 + 92))", "solution_steps": ["Subtract: 23 - 32 = -9", "Subtract: -9 - 640 = -649", "Add: -4 + 92 = 88", "Divide: 36 / 88 = 9/22", "Divide: -649 / (9/22) = -14278/9"], "final_answer": "-14278/9", "answer_type": "rational", "kind": "expression", "math_text": "(23 - 32 - 640) / (36 / (-4 + 92))", "variable": null, "family": "expression_5op", "shape": "(/ (- (- n n) n) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 32, \"c\": 640, \"d\": 36, \"e\": -4, \"f\": 92}", "seed": "12136448643333144143", "semantic_fingerprint": "sha256:56c34d9c361227429e4c2c4384a0249f22d60f6883e34b003ad26281d070a0c4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003724", "prompt": "Compute: 53 / (-333) + 47 / 9", "solution_steps": ["Divide: 53 / (-333) = -53/333", "Divide: 47 / 9 = 47/9", "Add: -53/333 + 47/9 = 562/111"], "final_answer": "562/111", "answer_type": "rational", "kind": "expression", "math_text": "53 / (-333) + 47 / 9", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": -333, \"c\": 47, \"d\": 9}", "seed": "8826431249068418467", "semantic_fingerprint": "sha256:d183effc4f0e201ae336801f16b30bfcd635bcb21f1bf750504d6b1c4aa589a2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003725", "prompt": "Compute: -194 - 8 / (-79 / 82) * 7", "solution_steps": ["Divide: -79 / 82 = -79/82", "Divide: 8 / (-79/82) = -656/79", "Multiply: (-656/79) * 7 = -4592/79", "Subtract: -194 - (-4592/79) = -10734/79"], "final_answer": "-10734/79", "answer_type": "rational", "kind": "expression", "math_text": "-194 - 8 / (-79 / 82) * 7", "variable": null, "family": "expression_4op", "shape": "(- n (* (/ n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -194, \"b\": 8, \"c\": -79, \"d\": 82, \"e\": 7}", "seed": "9038512882276881254", "semantic_fingerprint": "sha256:19ef725f3e272e5148b648d4a2fa8a41b0728df6c0230a0d7818a239ba7aaf0e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003726", "prompt": "Compute: 14 - 4 + 64 * (-1) / 320 / 29", "solution_steps": ["Subtract: 14 - 4 = 10", "Multiply: 64 * (-1) = -64", "Divide: -64 / 320 = -1/5", "Divide: (-1/5) / 29 = -1/145", "Add: 10 + (-1/145) = 1449/145"], "final_answer": "1449/145", "answer_type": "rational", "kind": "expression", "math_text": "14 - 4 + 64 * (-1) / 320 / 29", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (/ (/ (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 4, \"c\": 64, \"d\": -1, \"e\": 320, \"f\": 29}", "seed": "11745806449849778307", "semantic_fingerprint": "sha256:74591d2874312cfa615a2891eebb43208c1106a4a5f4bbfa2dc72f322f641403", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003727", "prompt": "Calculate: 38 * (5 / 634 - (-9) - 24)", "solution_steps": ["Divide: 5 / 634 = 5/634", "Subtract: 5/634 - (-9) = 5711/634", "Subtract: 5711/634 - 24 = -9505/634", "Multiply: 38 * (-9505/634) = -180595/317"], "final_answer": "-180595/317", "answer_type": "rational", "kind": "expression", "math_text": "38 * (5 / 634 - (-9) - 24)", "variable": null, "family": "expression_4op", "shape": "(* n (- (- (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 5, \"c\": 634, \"d\": -9, \"e\": 24}", "seed": "18369830942239837478", "semantic_fingerprint": "sha256:6d664b129df35623efbd1488ec5602244c63efb7b84704516a28874f01810c8a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003728", "prompt": "Solve for x: 4(x - 48) - 28 = 12(x - 5)", "solution_steps": ["Expand: 4x - 192 - 28 = 12(x - 5)", "Expand: 4x - 192 - 28 = 12x - 60", "Combine constants: 4x - 220 = 12x - 60", "Subtract 12x from both sides: -8x - 220 = -60", "Add 220 to both sides: -8x = 160", "Divide both sides by -8: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 48) - 28 = 12(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 48, \"c\": 12, \"d\": 5, \"f\": -28, \"x\": -20}", "seed": "922651651499999887", "semantic_fingerprint": "sha256:c8c70360bd35ed5a411ad219e6c44144699851dfd1900054569c97e3c17b5479", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003729", "prompt": "Solve for x: -5(x - 87) + 67 = 12(x - 21)", "solution_steps": ["Expand: -5x + 435 + 67 = 12(x - 21)", "Expand: -5x + 435 + 67 = 12x - 252", "Combine constants: -5x + 502 = 12x - 252", "Subtract 12x from both sides: -17x + 502 = -252", "Subtract 502 from both sides: -17x = -754", "Divide both sides by -17: x = 754/17"], "final_answer": "754/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 87) + 67 = 12(x - 21)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 87, \"c\": 67, \"d\": 12, \"e\": 21}", "seed": "3334164669037716177", "semantic_fingerprint": "sha256:5e242cdc5d76aeea62adf663750c77b5b14153f8e237a1a964a37531ddd7b047", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003730", "prompt": "What is -85 / (857 - 54 - 1)?", "solution_steps": ["Subtract: 857 - 54 = 803", "Subtract: 803 - 1 = 802", "Divide: -85 / 802 = -85/802"], "final_answer": "-85/802", "answer_type": "rational", "kind": "expression", "math_text": "-85 / (857 - 54 - 1)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": 857, \"c\": 54, \"d\": 1}", "seed": "11138023731458097944", "semantic_fingerprint": "sha256:4df927ab37bdb8d5c40789177c392ac70fedf952ea3617c480279f3e45b07fe8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003731", "prompt": "Solve for x: -7(x - 5) - 382 = 12(x - 399) - 26", "solution_steps": ["Expand: -7x + 35 - 382 = 12(x - 399) - 26", "Expand: -7x + 35 - 382 = 12x - 4788 - 26", "Combine constants: -7x - 347 = 12x - 4788 - 26", "Combine constants: -7x - 347 = 12x - 4814", "Subtract 12x from both sides: -19x - 347 = -4814", "Add 347 to both sides: -19x = -4467", "Divide both sides by -19: x = 4467/19"], "final_answer": "4467/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x - 5) - 382 = 12(x - 399) - 26", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 5, \"c\": 382, \"d\": 12, \"e\": 399, \"f\": 26}", "seed": "4353008174070864095", "semantic_fingerprint": "sha256:fbcc0f35849a449fa51db33d6f31fa736482f6f9f9371fef070958d7e71749a5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003732", "prompt": "What value of x satisfies -4(x + 8) - 26 = x - 946?", "solution_steps": ["Expand: -4x - 32 - 26 = x - 946", "Combine constants: -4x - 58 = x - 946", "Subtract x from both sides: -5x - 58 = -946", "Add 58 to both sides: -5x = -888", "Divide both sides by -5: x = 888/5"], "final_answer": "888/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 8) - 26 = x - 946", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 8, \"c\": 26, \"d\": 946}", "seed": "10425973757984356668", "semantic_fingerprint": "sha256:4a76291ff122677cbedd1a079e42ad0642dd9960dbcd621a77f1e2e67703b295", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003733", "prompt": "What value of x satisfies 4(x + 3) - 48 = x - 6?", "solution_steps": ["Expand: 4x + 12 - 48 = x - 6", "Combine constants: 4x - 36 = x - 6", "Subtract x from both sides: 3x - 36 = -6", "Add 36 to both sides: 3x = 30", "Divide both sides by 3: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 3) - 48 = x - 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 3, \"c\": 48, \"e\": -6, \"x\": 10}", "seed": "2611212500993631875", "semantic_fingerprint": "sha256:9e0d048d00e8d19e6e5231d17a90687b35aa0d8db015112ff68ce146fc519c2d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003734", "prompt": "Solve for x: 9(x - 6) - 24 = 11(x - 2) - 92", "solution_steps": ["Expand: 9x - 54 - 24 = 11(x - 2) - 92", "Expand: 9x - 54 - 24 = 11x - 22 - 92", "Combine constants: 9x - 78 = 11x - 22 - 92", "Combine constants: 9x - 78 = 11x - 114", "Subtract 11x from both sides: -2x - 78 = -114", "Add 78 to both sides: -2x = -36", "Divide both sides by -2: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 6) - 24 = 11(x - 2) - 92", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": 24, \"d\": 11, \"e\": 2, \"g\": -92, \"x\": 18}", "seed": "9505785102183176484", "semantic_fingerprint": "sha256:6e5fee239b9f3743a2a287446ceca48eb1cf5ba91debedb69644f5318a39d253", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003735", "prompt": "What is -698 * 8 - (-5 - (-7)) * (-45)?", "solution_steps": ["Multiply: -698 * 8 = -5584", "Subtract: -5 - (-7) = 2", "Multiply: 2 * (-45) = -90", "Subtract: -5584 - (-90) = -5494"], "final_answer": "-5494", "answer_type": "integer", "kind": "expression", "math_text": "-698 * 8 - (-5 - (-7)) * (-45)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -698, \"b\": 8, \"c\": -5, \"d\": -7, \"e\": -45}", "seed": "6642765774923464639", "semantic_fingerprint": "sha256:0adea5591123f1a1e4cf98e8e0557db681166bb948ad05c163d9cbe4287ee70d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003736", "prompt": "What is 93 / 5 - (-17) * (-468 - 4) + 862?", "solution_steps": ["Divide: 93 / 5 = 93/5", "Subtract: -468 - 4 = -472", "Multiply: -17 * (-472) = 8024", "Subtract: 93/5 - 8024 = -40027/5", "Add: -40027/5 + 862 = -35717/5"], "final_answer": "-35717/5", "answer_type": "rational", "kind": "expression", "math_text": "93 / 5 - (-17) * (-468 - 4) + 862", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n n) (* n (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 5, \"c\": -17, \"d\": -468, \"e\": 4, \"f\": 862}", "seed": "15553443159372499960", "semantic_fingerprint": "sha256:89d80a1a54941e652ea367c0e1dfaf9ada5a15b21136954bb4913e2e23b11b57", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003737", "prompt": "Find x: -12(x + 66) + 30 = 3(x + 51) - 2", "solution_steps": ["Expand: -12x - 792 + 30 = 3(x + 51) - 2", "Expand: -12x - 792 + 30 = 3x + 153 - 2", "Combine constants: -12x - 762 = 3x + 153 - 2", "Combine constants: -12x - 762 = 3x + 151", "Subtract 3x from both sides: -15x - 762 = 151", "Add 762 to both sides: -15x = 913", "Divide both sides by -15: x = -913/15"], "final_answer": "-913/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 66) + 30 = 3(x + 51) - 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 66, \"c\": 30, \"d\": 3, \"e\": 51, \"f\": 2}", "seed": "12255081938618276060", "semantic_fingerprint": "sha256:afd33fd3120ccfb9e70ad1798d84dd3ab1af35399c99d8c44fa5c13da0565987", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003738", "prompt": "Evaluate: -8 + 98 - (-791) + 58", "solution_steps": ["Add: -8 + 98 = 90", "Subtract: 90 - (-791) = 881", "Add: 881 + 58 = 939"], "final_answer": "939", "answer_type": "integer", "kind": "expression", "math_text": "-8 + 98 - (-791) + 58", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 98, \"c\": -791, \"d\": 58}", "seed": "2519207495791671620", "semantic_fingerprint": "sha256:2f7eb99818afc10c1e57dfec6cec461ae8a2737576562744254673ebdbe6cdc9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003739", "prompt": "Evaluate: -34 + 4 * (-8) - (-31) + 8", "solution_steps": ["Multiply: 4 * (-8) = -32", "Add: -34 + (-32) = -66", "Subtract: -66 - (-31) = -35", "Add: -35 + 8 = -27"], "final_answer": "-27", "answer_type": "integer", "kind": "expression", "math_text": "-34 + 4 * (-8) - (-31) + 8", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": 4, \"c\": -8, \"d\": -31, \"e\": 8}", "seed": "5150117499091787613", "semantic_fingerprint": "sha256:18defd5572fa192c365b1418fce5cc3b50006f90dae76291f5395ce5fa32441d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003740", "prompt": "Calculate: -478 / (-6) + (-82) * (-20 + (-5))", "solution_steps": ["Divide: -478 / (-6) = 239/3", "Add: -20 + (-5) = -25", "Multiply: -82 * (-25) = 2050", "Add: 239/3 + 2050 = 6389/3"], "final_answer": "6389/3", "answer_type": "rational", "kind": "expression", "math_text": "-478 / (-6) + (-82) * (-20 + (-5))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -478, \"b\": -6, \"c\": -82, \"d\": -20, \"e\": -5}", "seed": "14834004507274485296", "semantic_fingerprint": "sha256:a0665391ede186f50d478e90b6f73031fb955cc6b1a1ef14167babfe6a1f65e5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003741", "prompt": "What value of x satisfies 2(x - 23) - 5 = -11(x - 2) - 73?", "solution_steps": ["Expand: 2x - 46 - 5 = -11(x - 2) - 73", "Expand: 2x - 46 - 5 = -11x + 22 - 73", "Combine constants: 2x - 51 = -11x + 22 - 73", "Combine constants: 2x - 51 = -11x - 51", "Add 11x to both sides: 13x - 51 = -51", "Add 51 to both sides: 13x = 0", "Divide both sides by 13: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 23) - 5 = -11(x - 2) - 73", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 23, \"c\": 5, \"d\": -11, \"e\": 2, \"g\": -73, \"x\": 0}", "seed": "5643382562565409561", "semantic_fingerprint": "sha256:e0f2090a9a2ef35b69f4e6c9f2ac05487ca285b9eb312f657a0f36dc251deee9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003742", "prompt": "Find x: 5(x - 6) = 6x - 23", "solution_steps": ["Expand: 5x - 30 = 6x - 23", "Subtract 6x from both sides: -x - 30 = -23", "Add 30 to both sides: -x = 7", "Divide both sides by -1: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 6) = 6x - 23", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": 6, \"e\": -23, \"x\": -7}", "seed": "7586437791924511686", "semantic_fingerprint": "sha256:3158e071247d6dcf1bf2f7b7667bf257b04feac719aa2ccdba36446f9515d471", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003743", "prompt": "Find x: 8(x + 43) - 855 = x - 420", "solution_steps": ["Expand: 8x + 344 - 855 = x - 420", "Combine constants: 8x - 511 = x - 420", "Subtract x from both sides: 7x - 511 = -420", "Add 511 to both sides: 7x = 91", "Divide both sides by 7: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 43) - 855 = x - 420", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 43, \"c\": 855, \"e\": -420, \"x\": 13}", "seed": "8950198760307054415", "semantic_fingerprint": "sha256:2f6117720ac31dd55140d45a239ba74ea08894936920083c7fb442cd353f6b09", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003744", "prompt": "Calculate: -2 - (-1) + (537 - (-47)) + (-45 + (-5))", "solution_steps": ["Subtract: -2 - (-1) = -1", "Subtract: 537 - (-47) = 584", "Add: -1 + 584 = 583", "Add: -45 + (-5) = -50", "Add: 583 + (-50) = 533"], "final_answer": "533", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (-1) + (537 - (-47)) + (-45 + (-5))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -1, \"c\": 537, \"d\": -47, \"e\": -45, \"f\": -5}", "seed": "2949778050092280427", "semantic_fingerprint": "sha256:206f860227269c0e6eefa0fe4ce0e9b740ca418e710faee66226bfa190216e22", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003745", "prompt": "Solve for x: -3x - 5 = -7(x + 57) + 394", "solution_steps": ["Expand: -3x - 5 = -7x - 399 + 394", "Combine constants: -3x - 5 = -7x - 5", "Add 7x to both sides: 4x - 5 = -5", "Add 5 to both sides: 4x = 0", "Divide both sides by 4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x - 5 = -7(x + 57) + 394", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 5, \"c\": -7, \"d\": 57, \"f\": 394, \"x\": 0}", "seed": "9013506348513440020", "semantic_fingerprint": "sha256:b410c0d04cad767548c74a10115891ed592bc990f68a3f1100125f9f59d9259a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003746", "prompt": "What is (-84 * 133 + 156 / (-9)) / (-6) - (-58)?", "solution_steps": ["Multiply: -84 * 133 = -11172", "Divide: 156 / (-9) = -52/3", "Add: -11172 + (-52/3) = -33568/3", "Divide: (-33568/3) / (-6) = 16784/9", "Subtract: 16784/9 - (-58) = 17306/9"], "final_answer": "17306/9", "answer_type": "rational", "kind": "expression", "math_text": "(-84 * 133 + 156 / (-9)) / (-6) - (-58)", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ (* n n) (/ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": 133, \"c\": 156, \"d\": -9, \"e\": -6, \"f\": -58}", "seed": "17951015209510151450", "semantic_fingerprint": "sha256:3fece9478109408e5272e028e832750a1fd61dd6a0a8a07a08e9d14dac2a21f5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003747", "prompt": "Solve the equation 5(x - 55) - 54 = 8(x - 40) for x.", "solution_steps": ["Expand: 5x - 275 - 54 = 8(x - 40)", "Expand: 5x - 275 - 54 = 8x - 320", "Combine constants: 5x - 329 = 8x - 320", "Subtract 8x from both sides: -3x - 329 = -320", "Add 329 to both sides: -3x = 9", "Divide both sides by -3: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 55) - 54 = 8(x - 40)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 55, \"c\": 8, \"d\": 40, \"f\": -54, \"x\": -3}", "seed": "3689583186158975872", "semantic_fingerprint": "sha256:630dfd892a64b383d4c5f88cb10f4ed242037713e93d7db76263fb64c52a539c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003748", "prompt": "Calculate: (231 - 1 / (-1)) / 5", "solution_steps": ["Divide: 1 / (-1) = -1", "Subtract: 231 - (-1) = 232", "Divide: 232 / 5 = 232/5"], "final_answer": "232/5", "answer_type": "rational", "kind": "expression", "math_text": "(231 - 1 / (-1)) / 5", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 231, \"b\": 1, \"c\": -1, \"d\": 5}", "seed": "8091726376961343099", "semantic_fingerprint": "sha256:eec3889d85ad3d5b9414dede613fb36bbc145ad93abb6ed3cd6c182b62fd9525", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003749", "prompt": "Evaluate: -455 * (3 * (840 / 13 / 367)) + (-509)", "solution_steps": ["Divide: 840 / 13 = 840/13", "Divide: (840/13) / 367 = 840/4771", "Multiply: 3 * (840/4771) = 2520/4771", "Multiply: -455 * (2520/4771) = -88200/367", "Add: -88200/367 + (-509) = -275003/367"], "final_answer": "-275003/367", "answer_type": "rational", "kind": "expression", "math_text": "-455 * (3 * (840 / 13 / 367)) + (-509)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (* n (/ (/ n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -455, \"b\": 3, \"c\": 840, \"d\": 13, \"e\": 367, \"f\": -509}", "seed": "197604944280772909", "semantic_fingerprint": "sha256:bfcb7069482f331c68ba0527fa90ce87efe8d6e2e908cd85482372d8a58249b2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003750", "prompt": "Solve for x: 2(x - 93) - 350 = 12(x - 33)", "solution_steps": ["Expand: 2x - 186 - 350 = 12(x - 33)", "Expand: 2x - 186 - 350 = 12x - 396", "Combine constants: 2x - 536 = 12x - 396", "Subtract 12x from both sides: -10x - 536 = -396", "Add 536 to both sides: -10x = 140", "Divide both sides by -10: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 93) - 350 = 12(x - 33)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 93, \"c\": 12, \"d\": 33, \"f\": -350, \"x\": -14}", "seed": "7286570439810935624", "semantic_fingerprint": "sha256:dae65f413991847cbe8fc4d4a026368d3864e2d01eabf9358f573a67d279ea75", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003751", "prompt": "Evaluate: (3 + 7) / (-50 / (-80)) * (-2)", "solution_steps": ["Add: 3 + 7 = 10", "Divide: -50 / (-80) = 5/8", "Divide: 10 / (5/8) = 16", "Multiply: 16 * (-2) = -32"], "final_answer": "-32", "answer_type": "integer", "kind": "expression", "math_text": "(3 + 7) / (-50 / (-80)) * (-2)", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": -50, \"d\": -80, \"e\": -2}", "seed": "10907369196740121022", "semantic_fingerprint": "sha256:b8e2f457926f1923c02222efe2b0e0bf1d14f3fcbf6f780e5d203b01eb1b71c9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003752", "prompt": "Evaluate: (-7 - 655) / (-31 * 17)", "solution_steps": ["Subtract: -7 - 655 = -662", "Multiply: -31 * 17 = -527", "Divide: -662 / (-527) = 662/527"], "final_answer": "662/527", "answer_type": "rational", "kind": "expression", "math_text": "(-7 - 655) / (-31 * 17)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 655, \"c\": -31, \"d\": 17}", "seed": "8412445985724519417", "semantic_fingerprint": "sha256:60f1b0e117d8030a70b5d1a70cc5bdeabcaadc50a164434611890db2f96e3bf9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003753", "prompt": "Compute: (-96 + (-9 - (-1))) * 98 / (-878)", "solution_steps": ["Subtract: -9 - (-1) = -8", "Add: -96 + (-8) = -104", "Multiply: -104 * 98 = -10192", "Divide: -10192 / (-878) = 5096/439"], "final_answer": "5096/439", "answer_type": "rational", "kind": "expression", "math_text": "(-96 + (-9 - (-1))) * 98 / (-878)", "variable": null, "family": "expression_4op", "shape": "(/ (* (+ n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": -9, \"c\": -1, \"d\": 98, \"e\": -878}", "seed": "10335969825351082845", "semantic_fingerprint": "sha256:66dae7fb2ff72d66b9d0c6d950332a2dec4e3fe406bdacd173d1d0f0aa0694b4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003754", "prompt": "What is 7 - (18 + (-74)) + 77?", "solution_steps": ["Add: 18 + (-74) = -56", "Subtract: 7 - (-56) = 63", "Add: 63 + 77 = 140"], "final_answer": "140", "answer_type": "integer", "kind": "expression", "math_text": "7 - (18 + (-74)) + 77", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 18, \"c\": -74, \"d\": 77}", "seed": "10122054996582934702", "semantic_fingerprint": "sha256:6420fe0f2be2517f0425a9509185e18ebaa4a1fbb656e0aa63e76e4a6b156984", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003755", "prompt": "Find x: 6(x - 1) - 796 = -2(x - 5) - 652", "solution_steps": ["Expand: 6x - 6 - 796 = -2(x - 5) - 652", "Expand: 6x - 6 - 796 = -2x + 10 - 652", "Combine constants: 6x - 802 = -2x + 10 - 652", "Combine constants: 6x - 802 = -2x - 642", "Add 2x to both sides: 8x - 802 = -642", "Add 802 to both sides: 8x = 160", "Divide both sides by 8: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 1) - 796 = -2(x - 5) - 652", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"c\": 796, \"d\": -2, \"e\": 5, \"g\": -652, \"x\": 20}", "seed": "9852799497027118777", "semantic_fingerprint": "sha256:0927c10dab63dd93b05f79f254de752911a6fd081f323492d04475deb105fbf2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003756", "prompt": "Compute: -533 + (-931 + 236 * 3) / 8 + (-6)", "solution_steps": ["Multiply: 236 * 3 = 708", "Add: -931 + 708 = -223", "Divide: -223 / 8 = -223/8", "Add: -533 + (-223/8) = -4487/8", "Add: -4487/8 + (-6) = -4535/8"], "final_answer": "-4535/8", "answer_type": "rational", "kind": "expression", "math_text": "-533 + (-931 + 236 * 3) / 8 + (-6)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (/ (+ n (* n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -533, \"b\": -931, \"c\": 236, \"d\": 3, \"e\": 8, \"f\": -6}", "seed": "11199546007221265427", "semantic_fingerprint": "sha256:7a1f1ac450452d0a154134bdd65ef6b589b434278ed3a4e6bbe95a5534d4f2ea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003757", "prompt": "What value of x satisfies -12(x + 719) + 591 = 6(x + 794) - 10?", "solution_steps": ["Expand: -12x - 8628 + 591 = 6(x + 794) - 10", "Expand: -12x - 8628 + 591 = 6x + 4764 - 10", "Combine constants: -12x - 8037 = 6x + 4764 - 10", "Combine constants: -12x - 8037 = 6x + 4754", "Subtract 6x from both sides: -18x - 8037 = 4754", "Add 8037 to both sides: -18x = 12791", "Divide both sides by -18: x = -12791/18"], "final_answer": "-12791/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 719) + 591 = 6(x + 794) - 10", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 719, \"c\": 591, \"d\": 6, \"e\": 794, \"f\": 10}", "seed": "8025678980108438639", "semantic_fingerprint": "sha256:7df7ba91be9680779aff4e1e348d4c9f900ee0a3a0979aa232c93e1171b96b2e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003758", "prompt": "Solve for x: 10(x - 51) + 911 = 6(x + 8) - 55", "solution_steps": ["Expand: 10x - 510 + 911 = 6(x + 8) - 55", "Expand: 10x - 510 + 911 = 6x + 48 - 55", "Combine constants: 10x + 401 = 6x + 48 - 55", "Combine constants: 10x + 401 = 6x - 7", "Subtract 6x from both sides: 4x + 401 = -7", "Subtract 401 from both sides: 4x = -408", "Divide both sides by 4: x = -102"], "final_answer": "-102", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 51) + 911 = 6(x + 8) - 55", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 51, \"c\": 911, \"d\": 6, \"e\": 8, \"f\": 55}", "seed": "7671590993118457479", "semantic_fingerprint": "sha256:30ba5584d08ac52aacc43528201f54c0177776065e2f3175ba186b5c36f8410f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003759", "prompt": "Evaluate: 848 * (-3) + 707 * (-55 - (-6))", "solution_steps": ["Multiply: 848 * (-3) = -2544", "Subtract: -55 - (-6) = -49", "Multiply: 707 * (-49) = -34643", "Add: -2544 + (-34643) = -37187"], "final_answer": "-37187", "answer_type": "integer", "kind": "expression", "math_text": "848 * (-3) + 707 * (-55 - (-6))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 848, \"b\": -3, \"c\": 707, \"d\": -55, \"e\": -6}", "seed": "9678762583599873174", "semantic_fingerprint": "sha256:b875a7f1f4841b92bdd3ad586802de968ec753f6c3bae75a52f78fcaa9aafeb6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003760", "prompt": "Compute: 708 - (355 / (-63 * 2) - (-45) / 6)", "solution_steps": ["Multiply: -63 * 2 = -126", "Divide: 355 / (-126) = -355/126", "Divide: -45 / 6 = -15/2", "Subtract: -355/126 - (-15/2) = 295/63", "Subtract: 708 - 295/63 = 44309/63"], "final_answer": "44309/63", "answer_type": "rational", "kind": "expression", "math_text": "708 - (355 / (-63 * 2) - (-45) / 6)", "variable": null, "family": "expression_5op", "shape": "(- n (- (/ n (* n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 708, \"b\": 355, \"c\": -63, \"d\": 2, \"e\": -45, \"f\": 6}", "seed": "864467190656159956", "semantic_fingerprint": "sha256:2e30448ffae278892f3121359726b0006939196ad1eecc59620533d7680126d6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003761", "prompt": "Evaluate: (-85 + (-1)) * (21 - 253 - (-388))", "solution_steps": ["Add: -85 + (-1) = -86", "Subtract: 21 - 253 = -232", "Subtract: -232 - (-388) = 156", "Multiply: -86 * 156 = -13416"], "final_answer": "-13416", "answer_type": "integer", "kind": "expression", "math_text": "(-85 + (-1)) * (21 - 253 - (-388))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": -1, \"c\": 21, \"d\": 253, \"e\": -388}", "seed": "10499181804455959411", "semantic_fingerprint": "sha256:634b9c22aa6bdba9fa3e31e620cf26815a6def51a563d95dcb45ec49af9ad3c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003762", "prompt": "What is 5 * 2 * (6 - (-56 * 0 + (-4)))?", "solution_steps": ["Multiply: 5 * 2 = 10", "Multiply: -56 * 0 = 0", "Add: 0 + (-4) = -4", "Subtract: 6 - (-4) = 10", "Multiply: 10 * 10 = 100"], "final_answer": "100", "answer_type": "integer", "kind": "expression", "math_text": "5 * 2 * (6 - (-56 * 0 + (-4)))", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (- n (+ (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 6, \"d\": -56, \"e\": 0, \"f\": -4}", "seed": "4083314996871807136", "semantic_fingerprint": "sha256:ae67bc366b3e67c517253c9031ca548ff3ea285a884a100f1c21146f96e0acb0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003763", "prompt": "Find x: -2(x + 9) - 2 = x - 428", "solution_steps": ["Expand: -2x - 18 - 2 = x - 428", "Combine constants: -2x - 20 = x - 428", "Subtract x from both sides: -3x - 20 = -428", "Add 20 to both sides: -3x = -408", "Divide both sides by -3: x = 136"], "final_answer": "136", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 9) - 2 = x - 428", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 9, \"c\": 2, \"d\": 428}", "seed": "7582974785315972346", "semantic_fingerprint": "sha256:28c0e3c611ba92652f97869f5c849be6ce51c785a3720e04877c536192b84fbd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003764", "prompt": "Calculate: 42 + (-3 / (-41) + 477) / 42", "solution_steps": ["Divide: -3 / (-41) = 3/41", "Add: 3/41 + 477 = 19560/41", "Divide: (19560/41) / 42 = 3260/287", "Add: 42 + 3260/287 = 15314/287"], "final_answer": "15314/287", "answer_type": "rational", "kind": "expression", "math_text": "42 + (-3 / (-41) + 477) / 42", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (+ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -3, \"c\": -41, \"d\": 477, \"e\": 42}", "seed": "8129470461439170474", "semantic_fingerprint": "sha256:74822f1f245d9b8636c8dc04775f519865fcf36e2bd1a44342f29307fe5f5748", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003765", "prompt": "Calculate: 14 / (239 - (-14) + 62)", "solution_steps": ["Subtract: 239 - (-14) = 253", "Add: 253 + 62 = 315", "Divide: 14 / 315 = 2/45"], "final_answer": "2/45", "answer_type": "rational", "kind": "expression", "math_text": "14 / (239 - (-14) + 62)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 239, \"c\": -14, \"d\": 62}", "seed": "9287141649061433292", "semantic_fingerprint": "sha256:16f8705ad366e45f4e5a389e4a7c4c44b3105395e910b4ad2c4e677579c53374", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003766", "prompt": "What is -18 + (10 + (-86)) - (-25)?", "solution_steps": ["Add: 10 + (-86) = -76", "Add: -18 + (-76) = -94", "Subtract: -94 - (-25) = -69"], "final_answer": "-69", "answer_type": "integer", "kind": "expression", "math_text": "-18 + (10 + (-86)) - (-25)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 10, \"c\": -86, \"d\": -25}", "seed": "2883433808471703358", "semantic_fingerprint": "sha256:44aa9792fd7076c09d15000cda381f76e671e4bd4478bc263cf0ec7e4d490a2e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003767", "prompt": "What value of x satisfies 7(x - 11) + 78 = -9(x - 601)?", "solution_steps": ["Expand: 7x - 77 + 78 = -9(x - 601)", "Expand: 7x - 77 + 78 = -9x + 5409", "Combine constants: 7x + 1 = -9x + 5409", "Add 9x to both sides: 16x + 1 = 5409", "Subtract 1 from both sides: 16x = 5408", "Divide both sides by 16: x = 338"], "final_answer": "338", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 11) + 78 = -9(x - 601)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 11, \"c\": 78, \"d\": -9, \"e\": 601}", "seed": "5484447525809217495", "semantic_fingerprint": "sha256:2c82ae14a4cc061b17212d1c15fc62377970d3c1da797885d93708f06708e5a6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003768", "prompt": "Evaluate: (73 + (-64) - 9) * (7 + (-547))", "solution_steps": ["Add: 73 + (-64) = 9", "Subtract: 9 - 9 = 0", "Add: 7 + (-547) = -540", "Multiply: 0 * (-540) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(73 + (-64) - 9) * (7 + (-547))", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -64, \"c\": 9, \"d\": 7, \"e\": -547}", "seed": "6551311660144822503", "semantic_fingerprint": "sha256:8c7d2bc9df3de170853d34b63cf9ba09c0aab3c9fb5afa7724074555ee24dd87", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003769", "prompt": "Solve for x: -5(x - 18) + 68 = 3x + 318", "solution_steps": ["Expand: -5x + 90 + 68 = 3x + 318", "Combine constants: -5x + 158 = 3x + 318", "Subtract 3x from both sides: -8x + 158 = 318", "Subtract 158 from both sides: -8x = 160", "Divide both sides by -8: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 18) + 68 = 3x + 318", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 18, \"c\": 68, \"d\": 3, \"f\": 318, \"x\": -20}", "seed": "17578361993682755270", "semantic_fingerprint": "sha256:075ca8c0c9644351f48fd2f9470e8422a8af97398c38dde225ae236544da782e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003770", "prompt": "Evaluate: -2 / 2 - (-9) * 0 * (443 * 68)", "solution_steps": ["Divide: -2 / 2 = -1", "Multiply: -9 * 0 = 0", "Multiply: 443 * 68 = 30124", "Multiply: 0 * 30124 = 0", "Subtract: -1 - 0 = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "expression", "math_text": "-2 / 2 - (-9) * 0 * (443 * 68)", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (* (* n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 2, \"c\": -9, \"d\": 0, \"e\": 443, \"f\": 68}", "seed": "8187088745418526909", "semantic_fingerprint": "sha256:3e1f15810ff3f9ad450798f71fa2b4f55225cbdb7c78001c6dfee6a031fb5f90", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003771", "prompt": "Calculate: 4 - (-92) / (-80 / (-216))", "solution_steps": ["Divide: -80 / (-216) = 10/27", "Divide: -92 / (10/27) = -1242/5", "Subtract: 4 - (-1242/5) = 1262/5"], "final_answer": "1262/5", "answer_type": "rational", "kind": "expression", "math_text": "4 - (-92) / (-80 / (-216))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -92, \"c\": -80, \"d\": -216}", "seed": "13116254102297170361", "semantic_fingerprint": "sha256:e622ff138c707167114027d0f880bf0a9e272c482d065347042e282847655a5d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003772", "prompt": "Compute: (82 - (-755)) / (55 - 936 * 8)", "solution_steps": ["Subtract: 82 - (-755) = 837", "Multiply: 936 * 8 = 7488", "Subtract: 55 - 7488 = -7433", "Divide: 837 / (-7433) = -837/7433"], "final_answer": "-837/7433", "answer_type": "rational", "kind": "expression", "math_text": "(82 - (-755)) / (55 - 936 * 8)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": -755, \"c\": 55, \"d\": 936, \"e\": 8}", "seed": "2040052723452156154", "semantic_fingerprint": "sha256:ac4d587552ebc2b656ed672ddf4691e4009778a0e5ec0a73c278c04690534d13", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003773", "prompt": "Solve the equation 10(x - 9) - 5 = 5(x - 1) - 155 for x.", "solution_steps": ["Expand: 10x - 90 - 5 = 5(x - 1) - 155", "Expand: 10x - 90 - 5 = 5x - 5 - 155", "Combine constants: 10x - 95 = 5x - 5 - 155", "Combine constants: 10x - 95 = 5x - 160", "Subtract 5x from both sides: 5x - 95 = -160", "Add 95 to both sides: 5x = -65", "Divide both sides by 5: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 9) - 5 = 5(x - 1) - 155", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": 5, \"d\": 5, \"e\": 1, \"g\": -155, \"x\": -13}", "seed": "3923146900011634142", "semantic_fingerprint": "sha256:32bbd9d714fe7641e0ca31383a817c878407e904e67746e48b2a6689ad0753af", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003774", "prompt": "What value of x satisfies x - 820 = 12(x - 87) + 378?", "solution_steps": ["Expand: x - 820 = 12x - 1044 + 378", "Combine constants: x - 820 = 12x - 666", "Subtract 12x from both sides: -11x - 820 = -666", "Add 820 to both sides: -11x = 154", "Divide both sides by -11: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 820 = 12(x - 87) + 378", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 820, \"b\": 12, \"c\": 87, \"e\": 378, \"x\": -14}", "seed": "2731230559387409417", "semantic_fingerprint": "sha256:a0bd470af0b121e5ff87a27947c80cf18b66640bf8f03e8630024c1ad26ecb4a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003775", "prompt": "Find x: x - 2 = 4(x - 1) + 11", "solution_steps": ["Expand: x - 2 = 4x - 4 + 11", "Combine constants: x - 2 = 4x + 7", "Subtract 4x from both sides: -3x - 2 = 7", "Add 2 to both sides: -3x = 9", "Divide both sides by -3: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2 = 4(x - 1) + 11", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": 1, \"e\": 11, \"x\": -3}", "seed": "10584109164630511467", "semantic_fingerprint": "sha256:7a7357029fb283257db39e646fca67a89224cb06251017a76caba50fbc064915", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003776", "prompt": "Find x: 11(x - 998) + 93 = 10x + 9", "solution_steps": ["Expand: 11x - 10978 + 93 = 10x + 9", "Combine constants: 11x - 10885 = 10x + 9", "Subtract 10x from both sides: x - 10885 = 9", "Add 10885 to both sides: x = 10894"], "final_answer": "10894", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 998) + 93 = 10x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 998, \"c\": 93, \"d\": 10, \"e\": 9}", "seed": "3236674475680291526", "semantic_fingerprint": "sha256:c013477122d2759e7539fd302b72cc4be9b67659e903a6227a4b72c2378a10ab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003777", "prompt": "What is (923 - 71) / (765 * 5)?", "solution_steps": ["Subtract: 923 - 71 = 852", "Multiply: 765 * 5 = 3825", "Divide: 852 / 3825 = 284/1275"], "final_answer": "284/1275", "answer_type": "rational", "kind": "expression", "math_text": "(923 - 71) / (765 * 5)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 923, \"b\": 71, \"c\": 765, \"d\": 5}", "seed": "197976446816476974", "semantic_fingerprint": "sha256:3215d96780f583eb511986820e4bb873d73db05814b294c0cc8f51f5d3b9198b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003778", "prompt": "What is -337 * (-20 * 7 - (-43)) * 7?", "solution_steps": ["Multiply: -20 * 7 = -140", "Subtract: -140 - (-43) = -97", "Multiply: -337 * (-97) = 32689", "Multiply: 32689 * 7 = 228823"], "final_answer": "228823", "answer_type": "integer", "kind": "expression", "math_text": "-337 * (-20 * 7 - (-43)) * 7", "variable": null, "family": "expression_4op", "shape": "(* (* n (- (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -337, \"b\": -20, \"c\": 7, \"d\": -43, \"e\": 7}", "seed": "8478202169863350830", "semantic_fingerprint": "sha256:1e39ddae157c42920a41adac1d965580abc19ae76c00efba698589cfd7c18c37", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003779", "prompt": "Solve the equation 5(x - 67) - 23 = 2(x - 37) for x.", "solution_steps": ["Expand: 5x - 335 - 23 = 2(x - 37)", "Expand: 5x - 335 - 23 = 2x - 74", "Combine constants: 5x - 358 = 2x - 74", "Subtract 2x from both sides: 3x - 358 = -74", "Add 358 to both sides: 3x = 284", "Divide both sides by 3: x = 284/3"], "final_answer": "284/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 67) - 23 = 2(x - 37)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 67, \"c\": 23, \"d\": 2, \"e\": 37}", "seed": "8122902270956963030", "semantic_fingerprint": "sha256:96ff6007cbe97aee45705535597f8462f831770a64414b7bf060dc12600e04a0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003780", "prompt": "Find x: -9(x - 24) - 678 = -5(x - 6)", "solution_steps": ["Expand: -9x + 216 - 678 = -5(x - 6)", "Expand: -9x + 216 - 678 = -5x + 30", "Combine constants: -9x - 462 = -5x + 30", "Add 5x to both sides: -4x - 462 = 30", "Add 462 to both sides: -4x = 492", "Divide both sides by -4: x = -123"], "final_answer": "-123", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 24) - 678 = -5(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 24, \"c\": 678, \"d\": -5, \"e\": 6}", "seed": "452379752507081253", "semantic_fingerprint": "sha256:15fccb253747afbb815ebcc7d47fa25f1e3c54404dccc3cad6816915a9ccd75a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003781", "prompt": "Evaluate: 71 / 6 + 4 / (-78)", "solution_steps": ["Divide: 71 / 6 = 71/6", "Divide: 4 / (-78) = -2/39", "Add: 71/6 + (-2/39) = 919/78"], "final_answer": "919/78", "answer_type": "rational", "kind": "expression", "math_text": "71 / 6 + 4 / (-78)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 6, \"c\": 4, \"d\": -78}", "seed": "4664514060848830890", "semantic_fingerprint": "sha256:be3ad871cf65caedcb34cd5a20a4778764016e31012bf00242a3eee65b85c379", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003782", "prompt": "Evaluate: 933 - (-2 + (-82 - (-4)))", "solution_steps": ["Subtract: -82 - (-4) = -78", "Add: -2 + (-78) = -80", "Subtract: 933 - (-80) = 1013"], "final_answer": "1013", "answer_type": "integer", "kind": "expression", "math_text": "933 - (-2 + (-82 - (-4)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 933, \"b\": -2, \"c\": -82, \"d\": -4}", "seed": "8505588357344317712", "semantic_fingerprint": "sha256:cd2add7129877f17ad934e1f13544dae078ec04a280db9908e87437a965b3151", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003783", "prompt": "Evaluate: 2 + (-332 - 14) + (-3) * 65", "solution_steps": ["Subtract: -332 - 14 = -346", "Add: 2 + (-346) = -344", "Multiply: -3 * 65 = -195", "Add: -344 + (-195) = -539"], "final_answer": "-539", "answer_type": "integer", "kind": "expression", "math_text": "2 + (-332 - 14) + (-3) * 65", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -332, \"c\": 14, \"d\": -3, \"e\": 65}", "seed": "2369036904098596728", "semantic_fingerprint": "sha256:9bd10100ec8729598c8b73be0990792f49d69202f05428e3bd512de08f85b128", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003784", "prompt": "Compute: (-276 - 920) * (61 * (-3))", "solution_steps": ["Subtract: -276 - 920 = -1196", "Multiply: 61 * (-3) = -183", "Multiply: -1196 * (-183) = 218868"], "final_answer": "218868", "answer_type": "integer", "kind": "expression", "math_text": "(-276 - 920) * (61 * (-3))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -276, \"b\": 920, \"c\": 61, \"d\": -3}", "seed": "11996940882086863461", "semantic_fingerprint": "sha256:0435e44540c302cba8e96e102de576ca7676a6a19e8e1abc48022ad15aec5f6f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003785", "prompt": "Evaluate: (79 - 7) * (90 * 94)", "solution_steps": ["Subtract: 79 - 7 = 72", "Multiply: 90 * 94 = 8460", "Multiply: 72 * 8460 = 609120"], "final_answer": "609120", "answer_type": "integer", "kind": "expression", "math_text": "(79 - 7) * (90 * 94)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": 7, \"c\": 90, \"d\": 94}", "seed": "3306969826481071543", "semantic_fingerprint": "sha256:ca37f18b503aeb9fe563c0586052141be7e03a7d3307f6849ccb93cd613ff8a5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003786", "prompt": "What is -647 * 8 / 69 / (-55)?", "solution_steps": ["Multiply: -647 * 8 = -5176", "Divide: -5176 / 69 = -5176/69", "Divide: (-5176/69) / (-55) = 5176/3795"], "final_answer": "5176/3795", "answer_type": "rational", "kind": "expression", "math_text": "-647 * 8 / 69 / (-55)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -647, \"b\": 8, \"c\": 69, \"d\": -55}", "seed": "14705149361796145272", "semantic_fingerprint": "sha256:26e6d80cf78c2aa98e2a2a97893853ab40b4e24ba08038b9154ee42a55e31c52", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003787", "prompt": "Evaluate: -86 / (80 * 56 / 6)", "solution_steps": ["Multiply: 80 * 56 = 4480", "Divide: 4480 / 6 = 2240/3", "Divide: -86 / (2240/3) = -129/1120"], "final_answer": "-129/1120", "answer_type": "rational", "kind": "expression", "math_text": "-86 / (80 * 56 / 6)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": 80, \"c\": 56, \"d\": 6}", "seed": "4226181352126540027", "semantic_fingerprint": "sha256:ed3bdf397361ecda631f854a9ac94db56e0fc1d34e29f531c973e56f555bfa92", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003788", "prompt": "Compute: (-405 - 55 + 616) * 181", "solution_steps": ["Subtract: -405 - 55 = -460", "Add: -460 + 616 = 156", "Multiply: 156 * 181 = 28236"], "final_answer": "28236", "answer_type": "integer", "kind": "expression", "math_text": "(-405 - 55 + 616) * 181", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -405, \"b\": 55, \"c\": 616, \"d\": 181}", "seed": "822616914345381695", "semantic_fingerprint": "sha256:d1ebc9284e6b66a7765a2e435638317bd32e30495eb78db1431f0a54e065c2d3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003789", "prompt": "Calculate: 73 * (32 + (-11)) + (-9 - 0) - 1", "solution_steps": ["Add: 32 + (-11) = 21", "Multiply: 73 * 21 = 1533", "Subtract: -9 - 0 = -9", "Add: 1533 + (-9) = 1524", "Subtract: 1524 - 1 = 1523"], "final_answer": "1523", "answer_type": "integer", "kind": "expression", "math_text": "73 * (32 + (-11)) + (-9 - 0) - 1", "variable": null, "family": "expression_5op", "shape": "(- (+ (* n (+ n n)) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 32, \"c\": -11, \"d\": -9, \"e\": 0, \"f\": 1}", "seed": "2591328141078940841", "semantic_fingerprint": "sha256:6d54ceacd5683989be14b9d4f9df677ed5b5bfc4a68b1309b6885a4ceb1aeee7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003790", "prompt": "Evaluate: (-3 - 1) * (-7 / 8 / (-7)) + 7", "solution_steps": ["Subtract: -3 - 1 = -4", "Divide: -7 / 8 = -7/8", "Divide: (-7/8) / (-7) = 1/8", "Multiply: -4 * (1/8) = -1/2", "Add: -1/2 + 7 = 13/2"], "final_answer": "13/2", "answer_type": "rational", "kind": "expression", "math_text": "(-3 - 1) * (-7 / 8 / (-7)) + 7", "variable": null, "family": "expression_5op", "shape": "(+ (* (- n n) (/ (/ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 1, \"c\": -7, \"d\": 8, \"e\": -7, \"f\": 7}", "seed": "14620431998213720669", "semantic_fingerprint": "sha256:f3d5b5cec3c7a9672d3a8bdf8d83307764f61ee84befa2e8062113959a9da7c7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003791", "prompt": "Solve the equation 5(x + 62) - 5 = x - 5 for x.", "solution_steps": ["Expand: 5x + 310 - 5 = x - 5", "Combine constants: 5x + 305 = x - 5", "Subtract x from both sides: 4x + 305 = -5", "Subtract 305 from both sides: 4x = -310", "Divide both sides by 4: x = -155/2"], "final_answer": "-155/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 62) - 5 = x - 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 62, \"c\": 5, \"d\": 5}", "seed": "8666764211809531740", "semantic_fingerprint": "sha256:6915d8d45e60194e81209debfe1bb366190e95984bd7b27ecbf52f618fd7fd13", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003792", "prompt": "Solve the equation 9(x + 34) + 76 = 10(x + 71) - 318 for x.", "solution_steps": ["Expand: 9x + 306 + 76 = 10(x + 71) - 318", "Expand: 9x + 306 + 76 = 10x + 710 - 318", "Combine constants: 9x + 382 = 10x + 710 - 318", "Combine constants: 9x + 382 = 10x + 392", "Subtract 10x from both sides: -x + 382 = 392", "Subtract 382 from both sides: -x = 10", "Divide both sides by -1: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 34) + 76 = 10(x + 71) - 318", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 34, \"c\": 76, \"d\": 10, \"e\": 71, \"g\": -318, \"x\": -10}", "seed": "13617861566779549921", "semantic_fingerprint": "sha256:ba9cb81b58ca46c1885c6b25d80ea8d7eb2e64f66b4e5cde4bc93dffd0ef820a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003793", "prompt": "Compute: 20 * 7 / (9 / 929) / (-36)", "solution_steps": ["Multiply: 20 * 7 = 140", "Divide: 9 / 929 = 9/929", "Divide: 140 / (9/929) = 130060/9", "Divide: (130060/9) / (-36) = -32515/81"], "final_answer": "-32515/81", "answer_type": "rational", "kind": "expression", "math_text": "20 * 7 / (9 / 929) / (-36)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": 7, \"c\": 9, \"d\": 929, \"e\": -36}", "seed": "10996680415945508726", "semantic_fingerprint": "sha256:083429d8eec458f5c7885076b40bc7628aa827b7c036c9375b7db1973cb54fd6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003794", "prompt": "Compute: 91 - (-257) - 23 * ((-280 + (-6)) / 89)", "solution_steps": ["Subtract: 91 - (-257) = 348", "Add: -280 + (-6) = -286", "Divide: -286 / 89 = -286/89", "Multiply: 23 * (-286/89) = -6578/89", "Subtract: 348 - (-6578/89) = 37550/89"], "final_answer": "37550/89", "answer_type": "rational", "kind": "expression", "math_text": "91 - (-257) - 23 * ((-280 + (-6)) / 89)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (* n (/ (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -257, \"c\": 23, \"d\": -280, \"e\": -6, \"f\": 89}", "seed": "14146642042908099576", "semantic_fingerprint": "sha256:5994511909e0808178b71ad43fb55305e12fb3117380a3e4b0ac7628a3c6f0fc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003795", "prompt": "Evaluate: (35 / (-61) + 7) * 0", "solution_steps": ["Divide: 35 / (-61) = -35/61", "Add: -35/61 + 7 = 392/61", "Multiply: (392/61) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(35 / (-61) + 7) * 0", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -61, \"c\": 7, \"d\": 0}", "seed": "10074425472650274155", "semantic_fingerprint": "sha256:def17ffb83f156edada6441972c3d0d39eb6a542151d799dc84c43bcdcfc4011", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003796", "prompt": "Calculate: -40 + (34 - (-4) * 3 / (-26 / 938))", "solution_steps": ["Multiply: -4 * 3 = -12", "Divide: -26 / 938 = -13/469", "Divide: -12 / (-13/469) = 5628/13", "Subtract: 34 - 5628/13 = -5186/13", "Add: -40 + (-5186/13) = -5706/13"], "final_answer": "-5706/13", "answer_type": "rational", "kind": "expression", "math_text": "-40 + (34 - (-4) * 3 / (-26 / 938))", "variable": null, "family": "expression_5op", "shape": "(+ n (- n (/ (* n n) (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": 34, \"c\": -4, \"d\": 3, \"e\": -26, \"f\": 938}", "seed": "4967119645332443639", "semantic_fingerprint": "sha256:6f666c0236c4e0fce20e0a3ae51f940275eeaacc17ef4944d3f4bc15b26f84c1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003797", "prompt": "Compute: (99 + 99 * 161) / (17 * (-19))", "solution_steps": ["Multiply: 99 * 161 = 15939", "Add: 99 + 15939 = 16038", "Multiply: 17 * (-19) = -323", "Divide: 16038 / (-323) = -16038/323"], "final_answer": "-16038/323", "answer_type": "rational", "kind": "expression", "math_text": "(99 + 99 * 161) / (17 * (-19))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": 99, \"c\": 161, \"d\": 17, \"e\": -19}", "seed": "1747398311620315617", "semantic_fingerprint": "sha256:a7e35029f4e7c6c37b1eee7842add6a7b984ae8b8e1286b76e626e457f28e907", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003798", "prompt": "Compute: -35 / ((-4 - (-170)) / (-17 + 8) + (-4))", "solution_steps": ["Subtract: -4 - (-170) = 166", "Add: -17 + 8 = -9", "Divide: 166 / (-9) = -166/9", "Add: -166/9 + (-4) = -202/9", "Divide: -35 / (-202/9) = 315/202"], "final_answer": "315/202", "answer_type": "rational", "kind": "expression", "math_text": "-35 / ((-4 - (-170)) / (-17 + 8) + (-4))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (/ (- n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": -4, \"c\": -170, \"d\": -17, \"e\": 8, \"f\": -4}", "seed": "8816614459110990439", "semantic_fingerprint": "sha256:d8fe364ab60ee84b468f7c08e4cb13834bd56b7eb8e79ea415d640f5d7fe63fc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003799", "prompt": "Evaluate: (-5 - 77) * (-81 / 29)", "solution_steps": ["Subtract: -5 - 77 = -82", "Divide: -81 / 29 = -81/29", "Multiply: -82 * (-81/29) = 6642/29"], "final_answer": "6642/29", "answer_type": "rational", "kind": "expression", "math_text": "(-5 - 77) * (-81 / 29)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 77, \"c\": -81, \"d\": 29}", "seed": "8930844913681545478", "semantic_fingerprint": "sha256:51c2be562507fa9674e2d7c45d85d4ade79cba38d888c25f0a2f136c6d7e63e3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003800", "prompt": "What is 37 * 86 / ((3 - (-38)) * (-7) * 2)?", "solution_steps": ["Multiply: 37 * 86 = 3182", "Subtract: 3 - (-38) = 41", "Multiply: 41 * (-7) = -287", "Multiply: -287 * 2 = -574", "Divide: 3182 / (-574) = -1591/287"], "final_answer": "-1591/287", "answer_type": "rational", "kind": "expression", "math_text": "37 * 86 / ((3 - (-38)) * (-7) * 2)", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (* (* (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": 86, \"c\": 3, \"d\": -38, \"e\": -7, \"f\": 2}", "seed": "11542668160674248047", "semantic_fingerprint": "sha256:f0e76d18f5a35ff5d1a4e4ae875fd6a0dd7bf364a4be02bc5cec15f9115a3627", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003801", "prompt": "What value of x satisfies 9x - 6 = -10(x + 9) + 198?", "solution_steps": ["Expand: 9x - 6 = -10x - 90 + 198", "Combine constants: 9x - 6 = -10x + 108", "Add 10x to both sides: 19x - 6 = 108", "Add 6 to both sides: 19x = 114", "Divide both sides by 19: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 6 = -10(x + 9) + 198", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": -10, \"d\": 9, \"f\": 198, \"x\": 6}", "seed": "14817292029940280766", "semantic_fingerprint": "sha256:cb67201c88b9d20535782054484687475b62d9b28a4a400e59c112a8a741c815", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003802", "prompt": "Evaluate: (-3 - 9) / (-594 * 9)", "solution_steps": ["Subtract: -3 - 9 = -12", "Multiply: -594 * 9 = -5346", "Divide: -12 / (-5346) = 2/891"], "final_answer": "2/891", "answer_type": "rational", "kind": "expression", "math_text": "(-3 - 9) / (-594 * 9)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 9, \"c\": -594, \"d\": 9}", "seed": "14472736439564104777", "semantic_fingerprint": "sha256:d56714e8d1dedc81ce854f25fb3fa376769b52f083a3da41bce25b672d00191c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003803", "prompt": "What value of x satisfies 9(x + 1) + 630 = 10(x + 83) - 200?", "solution_steps": ["Expand: 9x + 9 + 630 = 10(x + 83) - 200", "Expand: 9x + 9 + 630 = 10x + 830 - 200", "Combine constants: 9x + 639 = 10x + 830 - 200", "Combine constants: 9x + 639 = 10x + 630", "Subtract 10x from both sides: -x + 639 = 630", "Subtract 639 from both sides: -x = -9", "Divide both sides by -1: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 1) + 630 = 10(x + 83) - 200", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 1, \"c\": 630, \"d\": 10, \"e\": 83, \"g\": -200, \"x\": 9}", "seed": "16025653185458778529", "semantic_fingerprint": "sha256:1c5097465c2520dad07f9880e7df7b1e4cb65b05a98e676266bdf2a84de5f58b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003804", "prompt": "Solve for x: x - 2 = 4(x - 37) + 82", "solution_steps": ["Expand: x - 2 = 4x - 148 + 82", "Combine constants: x - 2 = 4x - 66", "Subtract 4x from both sides: -3x - 2 = -66", "Add 2 to both sides: -3x = -64", "Divide both sides by -3: x = 64/3"], "final_answer": "64/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 2 = 4(x - 37) + 82", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": 37, \"d\": 82}", "seed": "5810155663456040841", "semantic_fingerprint": "sha256:23b0f3e2ad074ae9d382ba4964d6fad9130362691e2bb7b3fdc1cdd156c0009b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003805", "prompt": "Solve the equation -7(x - 3) + 50 = 5(x - 29) for x.", "solution_steps": ["Expand: -7x + 21 + 50 = 5(x - 29)", "Expand: -7x + 21 + 50 = 5x - 145", "Combine constants: -7x + 71 = 5x - 145", "Subtract 5x from both sides: -12x + 71 = -145", "Subtract 71 from both sides: -12x = -216", "Divide both sides by -12: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 3) + 50 = 5(x - 29)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 3, \"c\": 5, \"d\": 29, \"f\": 50, \"x\": 18}", "seed": "10366135437352434001", "semantic_fingerprint": "sha256:f3ad8b8ad7918cd03e262c426ce92fda389a5f3af12392b5eb5b2a329d293fbb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003806", "prompt": "What value of x satisfies 3(x - 6) + 589 = -12x + 406?", "solution_steps": ["Expand: 3x - 18 + 589 = -12x + 406", "Combine constants: 3x + 571 = -12x + 406", "Add 12x to both sides: 15x + 571 = 406", "Subtract 571 from both sides: 15x = -165", "Divide both sides by 15: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 6) + 589 = -12x + 406", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 589, \"d\": -12, \"f\": 406, \"x\": -11}", "seed": "18304822945359950525", "semantic_fingerprint": "sha256:de049c273e8c9aaa2608e40fa997502849cac669fd655fdff8e4491a8a383939", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003807", "prompt": "Evaluate: 8 * (-708 * (-145 - (-94)))", "solution_steps": ["Subtract: -145 - (-94) = -51", "Multiply: -708 * (-51) = 36108", "Multiply: 8 * 36108 = 288864"], "final_answer": "288864", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-708 * (-145 - (-94)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -708, \"c\": -145, \"d\": -94}", "seed": "10992478698534257405", "semantic_fingerprint": "sha256:5ca14493129a53c969eefe8e8ed1e4561cc0af92e07b9d1da96a14d72ca2fc15", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003808", "prompt": "Calculate: 910 / (-2 - 56 - 6)", "solution_steps": ["Subtract: -2 - 56 = -58", "Subtract: -58 - 6 = -64", "Divide: 910 / (-64) = -455/32"], "final_answer": "-455/32", "answer_type": "rational", "kind": "expression", "math_text": "910 / (-2 - 56 - 6)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 910, \"b\": -2, \"c\": 56, \"d\": 6}", "seed": "3117092855593215158", "semantic_fingerprint": "sha256:e373c2fc761f53a16fd49616fb82c10bf8866086fbca04eb2f38587d01fe5948", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003809", "prompt": "What is 10 + (434 * (-46) - 498)?", "solution_steps": ["Multiply: 434 * (-46) = -19964", "Subtract: -19964 - 498 = -20462", "Add: 10 + (-20462) = -20452"], "final_answer": "-20452", "answer_type": "integer", "kind": "expression", "math_text": "10 + (434 * (-46) - 498)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 434, \"c\": -46, \"d\": 498}", "seed": "18259661819590518002", "semantic_fingerprint": "sha256:a1b2ee3877e5d88af3b84a79cc1c6dd5c1f1820fd37b22d05c0d8a9dbeee4078", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003810", "prompt": "Compute: 62 + (-599) - (24 + 889) - (-56 - (-39))", "solution_steps": ["Add: 62 + (-599) = -537", "Add: 24 + 889 = 913", "Subtract: -537 - 913 = -1450", "Subtract: -56 - (-39) = -17", "Subtract: -1450 - (-17) = -1433"], "final_answer": "-1433", "answer_type": "integer", "kind": "expression", "math_text": "62 + (-599) - (24 + 889) - (-56 - (-39))", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n n) (+ n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -599, \"c\": 24, \"d\": 889, \"e\": -56, \"f\": -39}", "seed": "4872611287195798785", "semantic_fingerprint": "sha256:68688222dcd42fdf428a54cde1b275b46535c94a6063128dc5350506b64522a8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003811", "prompt": "What is -77 + (-3 * 74 - 36)?", "solution_steps": ["Multiply: -3 * 74 = -222", "Subtract: -222 - 36 = -258", "Add: -77 + (-258) = -335"], "final_answer": "-335", "answer_type": "integer", "kind": "expression", "math_text": "-77 + (-3 * 74 - 36)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": -3, \"c\": 74, \"d\": 36}", "seed": "5628373388977785118", "semantic_fingerprint": "sha256:2e579ca60eee4a0c6e66560ecc41455d0dfc06cae36766107cba88a00eb023b5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003812", "prompt": "What is (-72 - 379) / (738 * (-115))?", "solution_steps": ["Subtract: -72 - 379 = -451", "Multiply: 738 * (-115) = -84870", "Divide: -451 / (-84870) = 11/2070"], "final_answer": "11/2070", "answer_type": "rational", "kind": "expression", "math_text": "(-72 - 379) / (738 * (-115))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": 379, \"c\": 738, \"d\": -115}", "seed": "1998092094575717221", "semantic_fingerprint": "sha256:9f8b4d724b56ad2c221c3d45db289cb3d03a81ea5024e9a937fd11d60e7447b6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003813", "prompt": "What is 7 + (112 * (-8) - (-797))?", "solution_steps": ["Multiply: 112 * (-8) = -896", "Subtract: -896 - (-797) = -99", "Add: 7 + (-99) = -92"], "final_answer": "-92", "answer_type": "integer", "kind": "expression", "math_text": "7 + (112 * (-8) - (-797))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 112, \"c\": -8, \"d\": -797}", "seed": "8286414349589466256", "semantic_fingerprint": "sha256:9133164991d67480fb10ec0b75bb1b8211feca522a42c2091234def13f731b37", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003814", "prompt": "What is -2 * (-2) / (7 + 3)?", "solution_steps": ["Multiply: -2 * (-2) = 4", "Add: 7 + 3 = 10", "Divide: 4 / 10 = 2/5"], "final_answer": "2/5", "answer_type": "rational", "kind": "expression", "math_text": "-2 * (-2) / (7 + 3)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -2, \"c\": 7, \"d\": 3}", "seed": "5888202321548087016", "semantic_fingerprint": "sha256:0a3f7c78119c19efe77afecfb5acd51acd0a68bcb0b68755302f5b2cd615852a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003815", "prompt": "Compute: (657 - 864 / 58) / (-50)", "solution_steps": ["Divide: 864 / 58 = 432/29", "Subtract: 657 - 432/29 = 18621/29", "Divide: (18621/29) / (-50) = -18621/1450"], "final_answer": "-18621/1450", "answer_type": "rational", "kind": "expression", "math_text": "(657 - 864 / 58) / (-50)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 657, \"b\": 864, \"c\": 58, \"d\": -50}", "seed": "7060537966095748032", "semantic_fingerprint": "sha256:9f65dd018559babc83cd4318b315cf94b298b7d4df65468017a6bbd32712294c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003816", "prompt": "What value of x satisfies -6(x - 7) + 14 = 2x + 192?", "solution_steps": ["Expand: -6x + 42 + 14 = 2x + 192", "Combine constants: -6x + 56 = 2x + 192", "Subtract 2x from both sides: -8x + 56 = 192", "Subtract 56 from both sides: -8x = 136", "Divide both sides by -8: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 7) + 14 = 2x + 192", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 7, \"c\": 14, \"d\": 2, \"f\": 192, \"x\": -17}", "seed": "7732669717031512646", "semantic_fingerprint": "sha256:bd3df4e4558c442a4e8a14ea7a46d10adbb945f22da5fd742321c564a1e22b99", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003817", "prompt": "Evaluate: (65 + 89) * 7 + (9 - 2 + 9)", "solution_steps": ["Add: 65 + 89 = 154", "Multiply: 154 * 7 = 1078", "Subtract: 9 - 2 = 7", "Add: 7 + 9 = 16", "Add: 1078 + 16 = 1094"], "final_answer": "1094", "answer_type": "integer", "kind": "expression", "math_text": "(65 + 89) * 7 + (9 - 2 + 9)", "variable": null, "family": "expression_5op", "shape": "(+ (* (+ n n) n) (+ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 89, \"c\": 7, \"d\": 9, \"e\": 2, \"f\": 9}", "seed": "12257987417726582395", "semantic_fingerprint": "sha256:b051423b418b35d53ae62b32ed894add78c9dd294df4ae1ced83aed1219d69fb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003818", "prompt": "Compute: 5 + 9 / (-2) / 67", "solution_steps": ["Divide: 9 / (-2) = -9/2", "Divide: (-9/2) / 67 = -9/134", "Add: 5 + (-9/134) = 661/134"], "final_answer": "661/134", "answer_type": "rational", "kind": "expression", "math_text": "5 + 9 / (-2) / 67", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": -2, \"d\": 67}", "seed": "15367196207276747506", "semantic_fingerprint": "sha256:97acfc7325caa7bb601a0ccf0be3f5630232e404f636a3cc3bc4e7136d574900", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003819", "prompt": "What is -92 - 305 / (588 / (-9)) * 836?", "solution_steps": ["Divide: 588 / (-9) = -196/3", "Divide: 305 / (-196/3) = -915/196", "Multiply: (-915/196) * 836 = -191235/49", "Subtract: -92 - (-191235/49) = 186727/49"], "final_answer": "186727/49", "answer_type": "rational", "kind": "expression", "math_text": "-92 - 305 / (588 / (-9)) * 836", "variable": null, "family": "expression_4op", "shape": "(- n (* (/ n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 305, \"c\": 588, \"d\": -9, \"e\": 836}", "seed": "17747054920778743313", "semantic_fingerprint": "sha256:c33d79d8c0ca1ea08778534d6ec91aff488b30e4e5bd1ecfd14fe7cedbe6d5a3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003820", "prompt": "Solve the equation 7(x - 109) = 5x - 484 for x.", "solution_steps": ["Expand: 7x - 763 = 5x - 484", "Subtract 5x from both sides: 2x - 763 = -484", "Add 763 to both sides: 2x = 279", "Divide both sides by 2: x = 279/2"], "final_answer": "279/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 109) = 5x - 484", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 109, \"c\": 5, \"d\": 484}", "seed": "14065813625491516689", "semantic_fingerprint": "sha256:721ea4a946946853f6ec57b7576207cff5426e3f0c5092c8cdb1814ff524870c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003821", "prompt": "What value of x satisfies 3(x - 59) + 38 = 5(x + 4) - 185?", "solution_steps": ["Expand: 3x - 177 + 38 = 5(x + 4) - 185", "Expand: 3x - 177 + 38 = 5x + 20 - 185", "Combine constants: 3x - 139 = 5x + 20 - 185", "Combine constants: 3x - 139 = 5x - 165", "Subtract 5x from both sides: -2x - 139 = -165", "Add 139 to both sides: -2x = -26", "Divide both sides by -2: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 59) + 38 = 5(x + 4) - 185", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 59, \"c\": 38, \"d\": 5, \"e\": 4, \"g\": -185, \"x\": 13}", "seed": "15063243009580580192", "semantic_fingerprint": "sha256:6ec279a3af7160bd7dd1c6040f7cb16985022a47b40d26c11bb2f5575527c5bb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003822", "prompt": "Evaluate: -8 - (70 - 997) / (-3) + (-58)", "solution_steps": ["Subtract: 70 - 997 = -927", "Divide: -927 / (-3) = 309", "Subtract: -8 - 309 = -317", "Add: -317 + (-58) = -375"], "final_answer": "-375", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (70 - 997) / (-3) + (-58)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (/ (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 70, \"c\": 997, \"d\": -3, \"e\": -58}", "seed": "6085599443252080466", "semantic_fingerprint": "sha256:429a78d2a522782646a7a9ac9648acb5d47c3fb1aa91ab9d5dfdbaf102b29290", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003823", "prompt": "Calculate: -2 * (898 * (-9 - 58))", "solution_steps": ["Subtract: -9 - 58 = -67", "Multiply: 898 * (-67) = -60166", "Multiply: -2 * (-60166) = 120332"], "final_answer": "120332", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (898 * (-9 - 58))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 898, \"c\": -9, \"d\": 58}", "seed": "5516601449949562486", "semantic_fingerprint": "sha256:98392d5a4b9e0c6df707eb683f791fb18da8b2c903ffb93667da594d90e6c59a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003824", "prompt": "Solve for x: -8(x + 3) + 45 = 8(x + 77) - 771", "solution_steps": ["Expand: -8x - 24 + 45 = 8(x + 77) - 771", "Expand: -8x - 24 + 45 = 8x + 616 - 771", "Combine constants: -8x + 21 = 8x + 616 - 771", "Combine constants: -8x + 21 = 8x - 155", "Subtract 8x from both sides: -16x + 21 = -155", "Subtract 21 from both sides: -16x = -176", "Divide both sides by -16: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 3) + 45 = 8(x + 77) - 771", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"c\": 45, \"d\": 8, \"e\": 77, \"g\": -771, \"x\": 11}", "seed": "1778320862126081821", "semantic_fingerprint": "sha256:1dca583c2d24d9e8817a1d0f73370de316c4cf241b55a8abd2593c2a658fdda6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003825", "prompt": "What is (84 - 444) * 0 * (-66)?", "solution_steps": ["Subtract: 84 - 444 = -360", "Multiply: -360 * 0 = 0", "Multiply: 0 * (-66) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(84 - 444) * 0 * (-66)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": 444, \"c\": 0, \"d\": -66}", "seed": "18379086383900325188", "semantic_fingerprint": "sha256:7b99f4e12bd5cf7524acd8d3d08e4367bb09e4a9c2719b750b53edbb6f656a63", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003826", "prompt": "What is 921 + (-33 + ((8 + 84) * (-37) - 531))?", "solution_steps": ["Add: 8 + 84 = 92", "Multiply: 92 * (-37) = -3404", "Subtract: -3404 - 531 = -3935", "Add: -33 + (-3935) = -3968", "Add: 921 + (-3968) = -3047"], "final_answer": "-3047", "answer_type": "integer", "kind": "expression", "math_text": "921 + (-33 + ((8 + 84) * (-37) - 531))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ n (- (* (+ n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 921, \"b\": -33, \"c\": 8, \"d\": 84, \"e\": -37, \"f\": 531}", "seed": "447179851578636837", "semantic_fingerprint": "sha256:321a2f113b645448f7ce98441820ca4af62cebdc2c4a42da6e781394799d3c35", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003827", "prompt": "What is 39 - 71 / (-1 / 12)?", "solution_steps": ["Divide: -1 / 12 = -1/12", "Divide: 71 / (-1/12) = -852", "Subtract: 39 - (-852) = 891"], "final_answer": "891", "answer_type": "integer", "kind": "expression", "math_text": "39 - 71 / (-1 / 12)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 71, \"c\": -1, \"d\": 12}", "seed": "16866313732035170790", "semantic_fingerprint": "sha256:5f9935fdf5859df2b4cbbbf550ecb6bc91e6e38c24c3db7f23d0d1cfd9105cb4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003828", "prompt": "Compute: 876 / 3 / 9 - 5 * 7 + 56", "solution_steps": ["Divide: 876 / 3 = 292", "Divide: 292 / 9 = 292/9", "Multiply: 5 * 7 = 35", "Subtract: 292/9 - 35 = -23/9", "Add: -23/9 + 56 = 481/9"], "final_answer": "481/9", "answer_type": "rational", "kind": "expression", "math_text": "876 / 3 / 9 - 5 * 7 + 56", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ (/ n n) n) (* n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 876, \"b\": 3, \"c\": 9, \"d\": 5, \"e\": 7, \"f\": 56}", "seed": "8365825125439808770", "semantic_fingerprint": "sha256:7700a48e863831ef48dc38d18517736ec8ae4bd475485ac252b360ecc1d56f47", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003829", "prompt": "Calculate: -9 + (-2) - (87 + 283)", "solution_steps": ["Add: -9 + (-2) = -11", "Add: 87 + 283 = 370", "Subtract: -11 - 370 = -381"], "final_answer": "-381", "answer_type": "integer", "kind": "expression", "math_text": "-9 + (-2) - (87 + 283)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -2, \"c\": 87, \"d\": 283}", "seed": "6208131466942012429", "semantic_fingerprint": "sha256:f8d8b0b6ae401caeae145fc203deff7d070c935d17f783690d17ab4edc1c6f2f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003830", "prompt": "Calculate: (7 - (-343) + 87) * 69", "solution_steps": ["Subtract: 7 - (-343) = 350", "Add: 350 + 87 = 437", "Multiply: 437 * 69 = 30153"], "final_answer": "30153", "answer_type": "integer", "kind": "expression", "math_text": "(7 - (-343) + 87) * 69", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -343, \"c\": 87, \"d\": 69}", "seed": "6631220125414489615", "semantic_fingerprint": "sha256:bc543e29e6ed56a81776d9642b14f27d49abde17f963ae073ed877d53cccf6f3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003831", "prompt": "Calculate: 70 + 39 - (-507) + 0", "solution_steps": ["Add: 70 + 39 = 109", "Subtract: 109 - (-507) = 616", "Add: 616 + 0 = 616"], "final_answer": "616", "answer_type": "integer", "kind": "expression", "math_text": "70 + 39 - (-507) + 0", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": 39, \"c\": -507, \"d\": 0}", "seed": "13140758651698976524", "semantic_fingerprint": "sha256:6e1a9bcde3ed781062f983b1059861bc326fefbd5efb20c6c9522ad41a6d5648", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003832", "prompt": "Evaluate: (-53 + (-45) + (-739)) * (-14)", "solution_steps": ["Add: -53 + (-45) = -98", "Add: -98 + (-739) = -837", "Multiply: -837 * (-14) = 11718"], "final_answer": "11718", "answer_type": "integer", "kind": "expression", "math_text": "(-53 + (-45) + (-739)) * (-14)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": -45, \"c\": -739, \"d\": -14}", "seed": "5387379081183054415", "semantic_fingerprint": "sha256:1fcc170720c94b35a44375da24375907778a3427be9698c1e0142b510aeb154a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003833", "prompt": "Evaluate: -63 / (0 - (-70) + (-73))", "solution_steps": ["Subtract: 0 - (-70) = 70", "Add: 70 + (-73) = -3", "Divide: -63 / (-3) = 21"], "final_answer": "21", "answer_type": "integer", "kind": "expression", "math_text": "-63 / (0 - (-70) + (-73))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 0, \"c\": -70, \"d\": -73}", "seed": "8794393673589755014", "semantic_fingerprint": "sha256:c36c6a4a1a756a03e287cf1edbe3724f531d57bc43ba7191ed8abfb3554312a3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003834", "prompt": "Find x: -9(x + 24) + 3 = 7(x + 13) - 32", "solution_steps": ["Expand: -9x - 216 + 3 = 7(x + 13) - 32", "Expand: -9x - 216 + 3 = 7x + 91 - 32", "Combine constants: -9x - 213 = 7x + 91 - 32", "Combine constants: -9x - 213 = 7x + 59", "Subtract 7x from both sides: -16x - 213 = 59", "Add 213 to both sides: -16x = 272", "Divide both sides by -16: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 24) + 3 = 7(x + 13) - 32", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 24, \"c\": 3, \"d\": 7, \"e\": 13, \"g\": -32, \"x\": -17}", "seed": "9338037853133201106", "semantic_fingerprint": "sha256:efa362861e08b90d7c7623685dcba77e7a8715a7352562ad8e97da31498be939", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003835", "prompt": "Compute: -3 / (562 - (-26) - (-443))", "solution_steps": ["Subtract: 562 - (-26) = 588", "Subtract: 588 - (-443) = 1031", "Divide: -3 / 1031 = -3/1031"], "final_answer": "-3/1031", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (562 - (-26) - (-443))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 562, \"c\": -26, \"d\": -443}", "seed": "5784366300856058019", "semantic_fingerprint": "sha256:387fefda6f6588035abf660ad52bc92649a3fdcd6d9701b44d1d9ba08f31094e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003836", "prompt": "What is -99 / (3 / (-29) - (-52 - (-241)))?", "solution_steps": ["Divide: 3 / (-29) = -3/29", "Subtract: -52 - (-241) = 189", "Subtract: -3/29 - 189 = -5484/29", "Divide: -99 / (-5484/29) = 957/1828"], "final_answer": "957/1828", "answer_type": "rational", "kind": "expression", "math_text": "-99 / (3 / (-29) - (-52 - (-241)))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": 3, \"c\": -29, \"d\": -52, \"e\": -241}", "seed": "9215212353595468013", "semantic_fingerprint": "sha256:c40791718b9fff42df91bcb16ba6464af4e8d577df31265e9eed0910bd6dcb3c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003837", "prompt": "Calculate: (-45 + (-389) + (368 + 18)) / 3", "solution_steps": ["Add: -45 + (-389) = -434", "Add: 368 + 18 = 386", "Add: -434 + 386 = -48", "Divide: -48 / 3 = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "expression", "math_text": "(-45 + (-389) + (368 + 18)) / 3", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": -389, \"c\": 368, \"d\": 18, \"e\": 3}", "seed": "2957920632107179623", "semantic_fingerprint": "sha256:0e9ba3bae4354bf0c469f30c646e7c9aebf3ae744214c337c03ad69b97b52d2b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003838", "prompt": "Solve the equation 8(x - 24) - 1 = 9(x - 975) - 7 for x.", "solution_steps": ["Expand: 8x - 192 - 1 = 9(x - 975) - 7", "Expand: 8x - 192 - 1 = 9x - 8775 - 7", "Combine constants: 8x - 193 = 9x - 8775 - 7", "Combine constants: 8x - 193 = 9x - 8782", "Subtract 9x from both sides: -x - 193 = -8782", "Add 193 to both sides: -x = -8589", "Divide both sides by -1: x = 8589"], "final_answer": "8589", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 24) - 1 = 9(x - 975) - 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 24, \"c\": 1, \"d\": 9, \"e\": 975, \"f\": 7}", "seed": "12408069134723271911", "semantic_fingerprint": "sha256:b23579941c4cc37ce31fa959ecaa195a6a4b2d627d080fe6b59dbc407c274158", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003839", "prompt": "What is (1 - (31 - 65)) / (-821 + 8)?", "solution_steps": ["Subtract: 31 - 65 = -34", "Subtract: 1 - (-34) = 35", "Add: -821 + 8 = -813", "Divide: 35 / (-813) = -35/813"], "final_answer": "-35/813", "answer_type": "rational", "kind": "expression", "math_text": "(1 - (31 - 65)) / (-821 + 8)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 31, \"c\": 65, \"d\": -821, \"e\": 8}", "seed": "5222321185875330321", "semantic_fingerprint": "sha256:5b8257d145d871d90ed7d9f111bf66895286b630928380cd92257002a9a5611c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003840", "prompt": "Find x: 2(x - 185) + 10 = 5(x + 2) - 385", "solution_steps": ["Expand: 2x - 370 + 10 = 5(x + 2) - 385", "Expand: 2x - 370 + 10 = 5x + 10 - 385", "Combine constants: 2x - 360 = 5x + 10 - 385", "Combine constants: 2x - 360 = 5x - 375", "Subtract 5x from both sides: -3x - 360 = -375", "Add 360 to both sides: -3x = -15", "Divide both sides by -3: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 185) + 10 = 5(x + 2) - 385", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 185, \"c\": 10, \"d\": 5, \"e\": 2, \"g\": -385, \"x\": 5}", "seed": "17457297298283186660", "semantic_fingerprint": "sha256:776bfde1ea83581461ee78f6e8e925b3d89687560df0ee0dd9f6df80fd09df7e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003841", "prompt": "Compute: 11 * 5 / (-6) / 7", "solution_steps": ["Multiply: 11 * 5 = 55", "Divide: 55 / (-6) = -55/6", "Divide: (-55/6) / 7 = -55/42"], "final_answer": "-55/42", "answer_type": "rational", "kind": "expression", "math_text": "11 * 5 / (-6) / 7", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": -6, \"d\": 7}", "seed": "1048969085431223881", "semantic_fingerprint": "sha256:385d72739f7d5384f88f06eb2d6c82137d38189a5633c673a417cfcc9691d8ed", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003842", "prompt": "Solve for x: 4(x - 36) - 3 = 2(x - 1) - 127", "solution_steps": ["Expand: 4x - 144 - 3 = 2(x - 1) - 127", "Expand: 4x - 144 - 3 = 2x - 2 - 127", "Combine constants: 4x - 147 = 2x - 2 - 127", "Combine constants: 4x - 147 = 2x - 129", "Subtract 2x from both sides: 2x - 147 = -129", "Add 147 to both sides: 2x = 18", "Divide both sides by 2: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 36) - 3 = 2(x - 1) - 127", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 36, \"c\": 3, \"d\": 2, \"e\": 1, \"g\": -127, \"x\": 9}", "seed": "2252318969435255174", "semantic_fingerprint": "sha256:524ca56e067d6ba0c6e3fe75740772025796d668c3e40c13c2f57de5d1855356", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003843", "prompt": "What is 68 + (-902) - (206 + 244)?", "solution_steps": ["Add: 68 + (-902) = -834", "Add: 206 + 244 = 450", "Subtract: -834 - 450 = -1284"], "final_answer": "-1284", "answer_type": "integer", "kind": "expression", "math_text": "68 + (-902) - (206 + 244)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": -902, \"c\": 206, \"d\": 244}", "seed": "3445006251532627866", "semantic_fingerprint": "sha256:e2019f0d86bd3f9878ee020af49285ea003180a277ab09c625589c3244a41f43", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003844", "prompt": "What value of x satisfies 9(x - 52) + 53 = 10(x + 141) - 53?", "solution_steps": ["Expand: 9x - 468 + 53 = 10(x + 141) - 53", "Expand: 9x - 468 + 53 = 10x + 1410 - 53", "Combine constants: 9x - 415 = 10x + 1410 - 53", "Combine constants: 9x - 415 = 10x + 1357", "Subtract 10x from both sides: -x - 415 = 1357", "Add 415 to both sides: -x = 1772", "Divide both sides by -1: x = -1772"], "final_answer": "-1772", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 52) + 53 = 10(x + 141) - 53", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 52, \"c\": 53, \"d\": 10, \"e\": 141, \"f\": 53}", "seed": "12403394806894499272", "semantic_fingerprint": "sha256:8374d23b561b20c5d42d12f3834d7dd1bc92b86c2c05a5f6e1d6bb7a0599f988", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003845", "prompt": "Compute: 632 * (-9 * 80) - 17", "solution_steps": ["Multiply: -9 * 80 = -720", "Multiply: 632 * (-720) = -455040", "Subtract: -455040 - 17 = -455057"], "final_answer": "-455057", "answer_type": "integer", "kind": "expression", "math_text": "632 * (-9 * 80) - 17", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 632, \"b\": -9, \"c\": 80, \"d\": 17}", "seed": "6415450840695924457", "semantic_fingerprint": "sha256:95497aab4655f3f856c5500e852406f6eedddef860bf05d65045163cfce2f9b2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003846", "prompt": "What is (-8 + 2) * (-529 / 19 + 758 * (-2))?", "solution_steps": ["Add: -8 + 2 = -6", "Divide: -529 / 19 = -529/19", "Multiply: 758 * (-2) = -1516", "Add: -529/19 + (-1516) = -29333/19", "Multiply: -6 * (-29333/19) = 175998/19"], "final_answer": "175998/19", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + 2) * (-529 / 19 + 758 * (-2))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (+ (/ n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 2, \"c\": -529, \"d\": 19, \"e\": 758, \"f\": -2}", "seed": "18383509762399006763", "semantic_fingerprint": "sha256:9ad582a70a4c8357e73c904fd5e6f27add0927cc875257bd67527233f5937f74", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003847", "prompt": "What is -77 - (62 * (-941) - 88) + 74 + 7?", "solution_steps": ["Multiply: 62 * (-941) = -58342", "Subtract: -58342 - 88 = -58430", "Subtract: -77 - (-58430) = 58353", "Add: 58353 + 74 = 58427", "Add: 58427 + 7 = 58434"], "final_answer": "58434", "answer_type": "integer", "kind": "expression", "math_text": "-77 - (62 * (-941) - 88) + 74 + 7", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n (- (* n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": 62, \"c\": -941, \"d\": 88, \"e\": 74, \"f\": 7}", "seed": "9399563977087798797", "semantic_fingerprint": "sha256:5debaaf66bcf24fadfbfde143fe9f2849c435718cb7ffa0110dd5082537632da", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003848", "prompt": "Solve for x: x - 3 = 3(x - 31) + 114", "solution_steps": ["Expand: x - 3 = 3x - 93 + 114", "Combine constants: x - 3 = 3x + 21", "Subtract 3x from both sides: -2x - 3 = 21", "Add 3 to both sides: -2x = 24", "Divide both sides by -2: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3 = 3(x - 31) + 114", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 31, \"e\": 114, \"x\": -12}", "seed": "11787293526527903259", "semantic_fingerprint": "sha256:a0e50ec46377bc98c6f676605a373f00dc949586ec64d3ede66f63be19468449", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003849", "prompt": "Solve the equation 4(x - 7) + 9 = 3(x - 2) for x.", "solution_steps": ["Expand: 4x - 28 + 9 = 3(x - 2)", "Expand: 4x - 28 + 9 = 3x - 6", "Combine constants: 4x - 19 = 3x - 6", "Subtract 3x from both sides: x - 19 = -6", "Add 19 to both sides: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 7) + 9 = 3(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 3, \"d\": 2, \"f\": 9, \"x\": 13}", "seed": "10352968501324427440", "semantic_fingerprint": "sha256:991cace599594457fe6c8172004ebed400059344b219146b4be0e88e7e69ef39", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003850", "prompt": "Solve for x: -8(x - 36) - 434 = 6(x - 71)", "solution_steps": ["Expand: -8x + 288 - 434 = 6(x - 71)", "Expand: -8x + 288 - 434 = 6x - 426", "Combine constants: -8x - 146 = 6x - 426", "Subtract 6x from both sides: -14x - 146 = -426", "Add 146 to both sides: -14x = -280", "Divide both sides by -14: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 36) - 434 = 6(x - 71)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 36, \"c\": 6, \"d\": 71, \"f\": -434, \"x\": 20}", "seed": "10687549236839139110", "semantic_fingerprint": "sha256:82d468edffccb8c7746339283b7ab6129b13e65325febe71a308ec324864f318", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003851", "prompt": "Compute: 38 + 1 + (-6) / (-4) * (-8 + 15)", "solution_steps": ["Add: 38 + 1 = 39", "Divide: -6 / (-4) = 3/2", "Add: -8 + 15 = 7", "Multiply: (3/2) * 7 = 21/2", "Add: 39 + 21/2 = 99/2"], "final_answer": "99/2", "answer_type": "rational", "kind": "expression", "math_text": "38 + 1 + (-6) / (-4) * (-8 + 15)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (* (/ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 1, \"c\": -6, \"d\": -4, \"e\": -8, \"f\": 15}", "seed": "1965729294171544856", "semantic_fingerprint": "sha256:f69d847d6ffb43d6f1129177786335621c90944a74d68580d5a6c5b535b278df", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003852", "prompt": "What is -9 - (-2 - (-97 - 5))?", "solution_steps": ["Subtract: -97 - 5 = -102", "Subtract: -2 - (-102) = 100", "Subtract: -9 - 100 = -109"], "final_answer": "-109", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (-2 - (-97 - 5))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -2, \"c\": -97, \"d\": 5}", "seed": "7043319107352372461", "semantic_fingerprint": "sha256:bfe05c00334a1a702d87f4d3a6a663ef09042525a419c42625ba845291d610e3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003853", "prompt": "Find x: -8(x + 9) + 9 = 3(x + 1) - 22", "solution_steps": ["Expand: -8x - 72 + 9 = 3(x + 1) - 22", "Expand: -8x - 72 + 9 = 3x + 3 - 22", "Combine constants: -8x - 63 = 3x + 3 - 22", "Combine constants: -8x - 63 = 3x - 19", "Subtract 3x from both sides: -11x - 63 = -19", "Add 63 to both sides: -11x = 44", "Divide both sides by -11: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 9) + 9 = 3(x + 1) - 22", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 9, \"c\": 9, \"d\": 3, \"e\": 1, \"g\": -22, \"x\": -4}", "seed": "18035247693234862665", "semantic_fingerprint": "sha256:e61fe088b1dfaac6ff5b801216aa303395825a8242b22f598c49e10dccbb8289", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003854", "prompt": "Evaluate: 98 / (-64) + (-28) / (-7)", "solution_steps": ["Divide: 98 / (-64) = -49/32", "Divide: -28 / (-7) = 4", "Add: -49/32 + 4 = 79/32"], "final_answer": "79/32", "answer_type": "rational", "kind": "expression", "math_text": "98 / (-64) + (-28) / (-7)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": -64, \"c\": -28, \"d\": -7}", "seed": "1657245608125519251", "semantic_fingerprint": "sha256:7e198c437e6c1738eefde8bd4399ba63c983779c0c8093d65beae19df1869de2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003855", "prompt": "What is (-9 - 78) * 4 * (-25)?", "solution_steps": ["Subtract: -9 - 78 = -87", "Multiply: -87 * 4 = -348", "Multiply: -348 * (-25) = 8700"], "final_answer": "8700", "answer_type": "integer", "kind": "expression", "math_text": "(-9 - 78) * 4 * (-25)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 78, \"c\": 4, \"d\": -25}", "seed": "866256291959690420", "semantic_fingerprint": "sha256:fcf413d0af716ad937ead4804fb93b1a0985cbad36036dc04166ba7b2442a46e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003856", "prompt": "Calculate: 0 / (-221) * ((17 - 0) * (-26)) + 58", "solution_steps": ["Divide: 0 / (-221) = 0", "Subtract: 17 - 0 = 17", "Multiply: 17 * (-26) = -442", "Multiply: 0 * (-442) = 0", "Add: 0 + 58 = 58"], "final_answer": "58", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-221) * ((17 - 0) * (-26)) + 58", "variable": null, "family": "expression_5op", "shape": "(+ (* (/ n n) (* (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -221, \"c\": 17, \"d\": 0, \"e\": -26, \"f\": 58}", "seed": "14679578359816653375", "semantic_fingerprint": "sha256:9ffcb3c94f9d8311b9ef616572f4ff428df227dfe3f28b05f7da0deadf4c8eb2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003857", "prompt": "Compute: -1 * (175 - 980 + 37)", "solution_steps": ["Subtract: 175 - 980 = -805", "Add: -805 + 37 = -768", "Multiply: -1 * (-768) = 768"], "final_answer": "768", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (175 - 980 + 37)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 175, \"c\": 980, \"d\": 37}", "seed": "10517327254656165944", "semantic_fingerprint": "sha256:425e313fdf7cdcd7349e7ff454a5ce0dba7154f822ba9942184582fc003c81e4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003858", "prompt": "What is -7 - (9 + (-8 - 70))?", "solution_steps": ["Subtract: -8 - 70 = -78", "Add: 9 + (-78) = -69", "Subtract: -7 - (-69) = 62"], "final_answer": "62", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (9 + (-8 - 70))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 9, \"c\": -8, \"d\": 70}", "seed": "17858799328345571143", "semantic_fingerprint": "sha256:1cfd28e554a073a926e86e3bc876280fdd9fec7bdbb39390eb9d9c8f768e8872", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003859", "prompt": "Compute: (-391 - (42 - (-901))) / (112 + (-9))", "solution_steps": ["Subtract: 42 - (-901) = 943", "Subtract: -391 - 943 = -1334", "Add: 112 + (-9) = 103", "Divide: -1334 / 103 = -1334/103"], "final_answer": "-1334/103", "answer_type": "rational", "kind": "expression", "math_text": "(-391 - (42 - (-901))) / (112 + (-9))", "variable": null, "family": "expression_4op", "shape": "(/ (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -391, \"b\": 42, \"c\": -901, \"d\": 112, \"e\": -9}", "seed": "12193010862053287047", "semantic_fingerprint": "sha256:6e273c6d2e59d08723c0d096eb55a8755f95609757fbb85f042793b9a551bcc7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003860", "prompt": "What is -77 - (848 + (163 - (-5)))?", "solution_steps": ["Subtract: 163 - (-5) = 168", "Add: 848 + 168 = 1016", "Subtract: -77 - 1016 = -1093"], "final_answer": "-1093", "answer_type": "integer", "kind": "expression", "math_text": "-77 - (848 + (163 - (-5)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": 848, \"c\": 163, \"d\": -5}", "seed": "3450658831324417677", "semantic_fingerprint": "sha256:034d2c6785c9d2e766955072db2b82cf083956eb61602565968bf2b87dd85afd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003861", "prompt": "Evaluate: (-6 - (-2)) * 477 - (-961) * (-7)", "solution_steps": ["Subtract: -6 - (-2) = -4", "Multiply: -4 * 477 = -1908", "Multiply: -961 * (-7) = 6727", "Subtract: -1908 - 6727 = -8635"], "final_answer": "-8635", "answer_type": "integer", "kind": "expression", "math_text": "(-6 - (-2)) * 477 - (-961) * (-7)", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -2, \"c\": 477, \"d\": -961, \"e\": -7}", "seed": "6339447370225174443", "semantic_fingerprint": "sha256:b4822183b690579d7a29c644a1d54a8092128d4e74ad819063bc8526ad753f27", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003862", "prompt": "What is 71 * (23 - (-90) + (-68))?", "solution_steps": ["Subtract: 23 - (-90) = 113", "Add: 113 + (-68) = 45", "Multiply: 71 * 45 = 3195"], "final_answer": "3195", "answer_type": "integer", "kind": "expression", "math_text": "71 * (23 - (-90) + (-68))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 23, \"c\": -90, \"d\": -68}", "seed": "1964792482386894495", "semantic_fingerprint": "sha256:346bcd2beee907c50bd5b15601e8abb11f5855f1c3d8449467b9ecefdece59b0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003863", "prompt": "Compute: 4 / (429 * 2 / (-5))", "solution_steps": ["Multiply: 429 * 2 = 858", "Divide: 858 / (-5) = -858/5", "Divide: 4 / (-858/5) = -10/429"], "final_answer": "-10/429", "answer_type": "rational", "kind": "expression", "math_text": "4 / (429 * 2 / (-5))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 429, \"c\": 2, \"d\": -5}", "seed": "14690700514215199149", "semantic_fingerprint": "sha256:762d8510e4142dad150ddaa58670e392774b9a5549ff081cb3cb24dbf8784bc6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003864", "prompt": "Compute: -33 - 302 / (-7 * (-56))", "solution_steps": ["Multiply: -7 * (-56) = 392", "Divide: 302 / 392 = 151/196", "Subtract: -33 - 151/196 = -6619/196"], "final_answer": "-6619/196", "answer_type": "rational", "kind": "expression", "math_text": "-33 - 302 / (-7 * (-56))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": 302, \"c\": -7, \"d\": -56}", "seed": "17150169130321869596", "semantic_fingerprint": "sha256:e1d6a6d2ed592459ec2dfeb2925af3cc23dbd447162660b7c0c85932c390bda5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003865", "prompt": "Calculate: 51 / (-8) + (0 - (-891) - 86)", "solution_steps": ["Divide: 51 / (-8) = -51/8", "Subtract: 0 - (-891) = 891", "Subtract: 891 - 86 = 805", "Add: -51/8 + 805 = 6389/8"], "final_answer": "6389/8", "answer_type": "rational", "kind": "expression", "math_text": "51 / (-8) + (0 - (-891) - 86)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -8, \"c\": 0, \"d\": -891, \"e\": 86}", "seed": "6161773113057664782", "semantic_fingerprint": "sha256:1dae762722849f29f7b5b7d30df072cc8752c713ea5864e75e4f2d3e7abc4dd6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003866", "prompt": "Find x: 9x - 2 = -3(x + 94) + 412", "solution_steps": ["Expand: 9x - 2 = -3x - 282 + 412", "Combine constants: 9x - 2 = -3x + 130", "Add 3x to both sides: 12x - 2 = 130", "Add 2 to both sides: 12x = 132", "Divide both sides by 12: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 2 = -3(x + 94) + 412", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": -3, \"d\": 94, \"f\": 412, \"x\": 11}", "seed": "14686617123040554374", "semantic_fingerprint": "sha256:abe78d2ae11b7e8f87e560baa82a51526525ecb8274379419d2c5a8c0b69618f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003867", "prompt": "Calculate: 7 + (-97 * (-5) - 0)", "solution_steps": ["Multiply: -97 * (-5) = 485", "Subtract: 485 - 0 = 485", "Add: 7 + 485 = 492"], "final_answer": "492", "answer_type": "integer", "kind": "expression", "math_text": "7 + (-97 * (-5) - 0)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -97, \"c\": -5, \"d\": 0}", "seed": "4345145715685814638", "semantic_fingerprint": "sha256:d56f38b25494a3aeb63b9a33a26535dc4c8190e3ad151664517e569a8d3a74ba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003868", "prompt": "What is (9 - 6) * (72 * 23)?", "solution_steps": ["Subtract: 9 - 6 = 3", "Multiply: 72 * 23 = 1656", "Multiply: 3 * 1656 = 4968"], "final_answer": "4968", "answer_type": "integer", "kind": "expression", "math_text": "(9 - 6) * (72 * 23)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": 72, \"d\": 23}", "seed": "10021123527156589", "semantic_fingerprint": "sha256:0dd1320c173543c3b2914dca3156ed5680e790f637b90e4a55808faf4e48344b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003869", "prompt": "What value of x satisfies 2(x + 69) + 495 = 12(x + 5) - 650?", "solution_steps": ["Expand: 2x + 138 + 495 = 12(x + 5) - 650", "Expand: 2x + 138 + 495 = 12x + 60 - 650", "Combine constants: 2x + 633 = 12x + 60 - 650", "Combine constants: 2x + 633 = 12x - 590", "Subtract 12x from both sides: -10x + 633 = -590", "Subtract 633 from both sides: -10x = -1223", "Divide both sides by -10: x = 1223/10"], "final_answer": "1223/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 69) + 495 = 12(x + 5) - 650", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 69, \"c\": 495, \"d\": 12, \"e\": 5, \"f\": 650}", "seed": "9641650605573416399", "semantic_fingerprint": "sha256:8fb0388dac1168a2c6f530929e956e57d1810f0c06ef26aa59051c871f00cd08", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003870", "prompt": "Solve the equation -12(x - 1) + 722 = 8(x + 107) - 442 for x.", "solution_steps": ["Expand: -12x + 12 + 722 = 8(x + 107) - 442", "Expand: -12x + 12 + 722 = 8x + 856 - 442", "Combine constants: -12x + 734 = 8x + 856 - 442", "Combine constants: -12x + 734 = 8x + 414", "Subtract 8x from both sides: -20x + 734 = 414", "Subtract 734 from both sides: -20x = -320", "Divide both sides by -20: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 1) + 722 = 8(x + 107) - 442", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 1, \"c\": 722, \"d\": 8, \"e\": 107, \"g\": -442, \"x\": 16}", "seed": "6558118139487492083", "semantic_fingerprint": "sha256:1b06b3f1a43c72eb2327e27b3cd489319ffe5221518bcf5b8ce179e5a82b6c3a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003871", "prompt": "What is 0 / (-75) + (3 / 67 + 6)?", "solution_steps": ["Divide: 0 / (-75) = 0", "Divide: 3 / 67 = 3/67", "Add: 3/67 + 6 = 405/67", "Add: 0 + 405/67 = 405/67"], "final_answer": "405/67", "answer_type": "rational", "kind": "expression", "math_text": "0 / (-75) + (3 / 67 + 6)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -75, \"c\": 3, \"d\": 67, \"e\": 6}", "seed": "12788204695704676466", "semantic_fingerprint": "sha256:379ec08d35895abf8ef9c7d30b0951777c1c72ab8c9e9ad7bda0c80127e26b7d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003872", "prompt": "Compute: 694 + (-2 + (-2 + (-139)) - 26) - 228", "solution_steps": ["Add: -2 + (-139) = -141", "Add: -2 + (-141) = -143", "Subtract: -143 - 26 = -169", "Add: 694 + (-169) = 525", "Subtract: 525 - 228 = 297"], "final_answer": "297", "answer_type": "integer", "kind": "expression", "math_text": "694 + (-2 + (-2 + (-139)) - 26) - 228", "variable": null, "family": "expression_5op", "shape": "(- (+ n (- (+ n (+ n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 694, \"b\": -2, \"c\": -2, \"d\": -139, \"e\": 26, \"f\": 228}", "seed": "1074088513701691153", "semantic_fingerprint": "sha256:8f598e4337e9cbcc2b650e9ae04d5443c27868063ad849b1aca2b9857986704a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003873", "prompt": "What is 82 + (-3) * (-8) + 20 / 61?", "solution_steps": ["Multiply: -3 * (-8) = 24", "Add: 82 + 24 = 106", "Divide: 20 / 61 = 20/61", "Add: 106 + 20/61 = 6486/61"], "final_answer": "6486/61", "answer_type": "rational", "kind": "expression", "math_text": "82 + (-3) * (-8) + 20 / 61", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": -3, \"c\": -8, \"d\": 20, \"e\": 61}", "seed": "13356250717309629492", "semantic_fingerprint": "sha256:f4e9568e9aa5d538abb9b908f5739d44d274354e627dcf615cceac6d7e1c2a27", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003874", "prompt": "Solve the equation 9(x - 18) + 105 = 12(x - 5) for x.", "solution_steps": ["Expand: 9x - 162 + 105 = 12(x - 5)", "Expand: 9x - 162 + 105 = 12x - 60", "Combine constants: 9x - 57 = 12x - 60", "Subtract 12x from both sides: -3x - 57 = -60", "Add 57 to both sides: -3x = -3", "Divide both sides by -3: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 18) + 105 = 12(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 18, \"c\": 12, \"d\": 5, \"f\": 105, \"x\": 1}", "seed": "16820621199561006262", "semantic_fingerprint": "sha256:535e1b8e084ab5ab13d428eae700d06a8482bf6fbb81c52cc5aecde3d288ad7e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003875", "prompt": "Calculate: -18 * (-5 / 3) + (12 - (-6))", "solution_steps": ["Divide: -5 / 3 = -5/3", "Multiply: -18 * (-5/3) = 30", "Subtract: 12 - (-6) = 18", "Add: 30 + 18 = 48"], "final_answer": "48", "answer_type": "integer", "kind": "expression", "math_text": "-18 * (-5 / 3) + (12 - (-6))", "variable": null, "family": "expression_4op", "shape": "(+ (* n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": -5, \"c\": 3, \"d\": 12, \"e\": -6}", "seed": "16369963936194074246", "semantic_fingerprint": "sha256:0947726930295686ccd596f375ff8a1c8f2339e578a10694a1e763faf9ff9481", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003876", "prompt": "Compute: (0 - (-46) - (-92)) * (63 + (-29))", "solution_steps": ["Subtract: 0 - (-46) = 46", "Subtract: 46 - (-92) = 138", "Add: 63 + (-29) = 34", "Multiply: 138 * 34 = 4692"], "final_answer": "4692", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-46) - (-92)) * (63 + (-29))", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -46, \"c\": -92, \"d\": 63, \"e\": -29}", "seed": "9262831939960974815", "semantic_fingerprint": "sha256:bc75b5e61a815ed2f7acd49f37067345a4d245abcd3306c30f9420b4c811ad5f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003877", "prompt": "Find x: 12(x - 27) + 186 = 3(x - 1)", "solution_steps": ["Expand: 12x - 324 + 186 = 3(x - 1)", "Expand: 12x - 324 + 186 = 3x - 3", "Combine constants: 12x - 138 = 3x - 3", "Subtract 3x from both sides: 9x - 138 = -3", "Add 138 to both sides: 9x = 135", "Divide both sides by 9: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 27) + 186 = 3(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 27, \"c\": 3, \"d\": 1, \"f\": 186, \"x\": 15}", "seed": "13089343364455528858", "semantic_fingerprint": "sha256:911c6563771c56dba32f9a5073c2a2edce6828cf16cc25e6e7f9b4b0b45aa40b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003878", "prompt": "What is -4 * (1 + (-35)) + (84 + 25 * 282)?", "solution_steps": ["Add: 1 + (-35) = -34", "Multiply: -4 * (-34) = 136", "Multiply: 25 * 282 = 7050", "Add: 84 + 7050 = 7134", "Add: 136 + 7134 = 7270"], "final_answer": "7270", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (1 + (-35)) + (84 + 25 * 282)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ n n)) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 1, \"c\": -35, \"d\": 84, \"e\": 25, \"f\": 282}", "seed": "16887893312080695269", "semantic_fingerprint": "sha256:8e656b0e7fae36a4484d25d8e2e3376b8493aa255b31645077eddd4c0bb55d8a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003879", "prompt": "Solve the equation 4(x - 64) = 2x - 839 for x.", "solution_steps": ["Expand: 4x - 256 = 2x - 839", "Subtract 2x from both sides: 2x - 256 = -839", "Add 256 to both sides: 2x = -583", "Divide both sides by 2: x = -583/2"], "final_answer": "-583/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 64) = 2x - 839", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 64, \"c\": 2, \"d\": 839}", "seed": "2329605162302412697", "semantic_fingerprint": "sha256:63ddad1c8f668f58316d20e244720411674877fa2a22c66fd4d3cd5f7a6e2e67", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003880", "prompt": "What value of x satisfies 6(x - 61) = 8x - 368?", "solution_steps": ["Expand: 6x - 366 = 8x - 368", "Subtract 8x from both sides: -2x - 366 = -368", "Add 366 to both sides: -2x = -2", "Divide both sides by -2: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 61) = 8x - 368", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 61, \"c\": 8, \"e\": -368, \"x\": 1}", "seed": "15010795579803748914", "semantic_fingerprint": "sha256:88ff8411d6726449d2d66c32f0bc6a658dcafd4a0d661d703ae02a8e8301b4f9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003881", "prompt": "What is 33 - (-41) + (-27 / (-4) - 1)?", "solution_steps": ["Subtract: 33 - (-41) = 74", "Divide: -27 / (-4) = 27/4", "Subtract: 27/4 - 1 = 23/4", "Add: 74 + 23/4 = 319/4"], "final_answer": "319/4", "answer_type": "rational", "kind": "expression", "math_text": "33 - (-41) + (-27 / (-4) - 1)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": -41, \"c\": -27, \"d\": -4, \"e\": 1}", "seed": "10645166046617046812", "semantic_fingerprint": "sha256:6984be5e0529a3b7a07a593751e081e5bd07b518619cd33a55ed642c1f802c55", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003882", "prompt": "Solve for x: 2(x - 79) - 29 = 3(x - 4) - 9", "solution_steps": ["Expand: 2x - 158 - 29 = 3(x - 4) - 9", "Expand: 2x - 158 - 29 = 3x - 12 - 9", "Combine constants: 2x - 187 = 3x - 12 - 9", "Combine constants: 2x - 187 = 3x - 21", "Subtract 3x from both sides: -x - 187 = -21", "Add 187 to both sides: -x = 166", "Divide both sides by -1: x = -166"], "final_answer": "-166", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 79) - 29 = 3(x - 4) - 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 79, \"c\": 29, \"d\": 3, \"e\": 4, \"f\": 9}", "seed": "14436009354832209436", "semantic_fingerprint": "sha256:3d3913cc9be9b8584ef812ba86a1bb3f9a76571360c967d89d88761e37f0b4f5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003883", "prompt": "Evaluate: 31 / (-46 - (-449) + 111)", "solution_steps": ["Subtract: -46 - (-449) = 403", "Add: 403 + 111 = 514", "Divide: 31 / 514 = 31/514"], "final_answer": "31/514", "answer_type": "rational", "kind": "expression", "math_text": "31 / (-46 - (-449) + 111)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": -46, \"c\": -449, \"d\": 111}", "seed": "12241930246220898017", "semantic_fingerprint": "sha256:eaacdff04aeb054e9e61cefdf50848552a21fe9b50aadd0e3660b689c05f9b5a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003884", "prompt": "What value of x satisfies x - 62 = 9(x - 70) + 640?", "solution_steps": ["Expand: x - 62 = 9x - 630 + 640", "Combine constants: x - 62 = 9x + 10", "Subtract 9x from both sides: -8x - 62 = 10", "Add 62 to both sides: -8x = 72", "Divide both sides by -8: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 62 = 9(x - 70) + 640", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": 9, \"c\": 70, \"e\": 640, \"x\": -9}", "seed": "1012636730496389903", "semantic_fingerprint": "sha256:3865f73b317218c3231efb81229f9102b56b92842922d5fb44fa966e81ff1a6d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003885", "prompt": "Evaluate: 24 + ((-54 + (-73)) * 1 + 4)", "solution_steps": ["Add: -54 + (-73) = -127", "Multiply: -127 * 1 = -127", "Add: -127 + 4 = -123", "Add: 24 + (-123) = -99"], "final_answer": "-99", "answer_type": "integer", "kind": "expression", "math_text": "24 + ((-54 + (-73)) * 1 + 4)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -54, \"c\": -73, \"d\": 1, \"e\": 4}", "seed": "6812032146272610155", "semantic_fingerprint": "sha256:5f133c72fd98753dd50dfcca2d02548072ce374b059ff2ea13d7c3c6a57d07e0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003886", "prompt": "Calculate: 0 - (0 * (-435) + 0) - 97 * (-8)", "solution_steps": ["Multiply: 0 * (-435) = 0", "Add: 0 + 0 = 0", "Subtract: 0 - 0 = 0", "Multiply: 97 * (-8) = -776", "Subtract: 0 - (-776) = 776"], "final_answer": "776", "answer_type": "integer", "kind": "expression", "math_text": "0 - (0 * (-435) + 0) - 97 * (-8)", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ (* n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 0, \"c\": -435, \"d\": 0, \"e\": 97, \"f\": -8}", "seed": "7333144346020444987", "semantic_fingerprint": "sha256:78309dd9ac57062bde700462aa8122024a09c3820c69703e61e8ff48850cf34e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003887", "prompt": "Compute: 6 / (-163 - 7 + (-39))", "solution_steps": ["Subtract: -163 - 7 = -170", "Add: -170 + (-39) = -209", "Divide: 6 / (-209) = -6/209"], "final_answer": "-6/209", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-163 - 7 + (-39))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -163, \"c\": 7, \"d\": -39}", "seed": "771641434306266438", "semantic_fingerprint": "sha256:443fcf4f167890029fd4b7170176eb9b3d81342978db9195d0d4fa533b52f361", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003888", "prompt": "What value of x satisfies 2(x + 7) - 90 = x - 58?", "solution_steps": ["Expand: 2x + 14 - 90 = x - 58", "Combine constants: 2x - 76 = x - 58", "Subtract x from both sides: x - 76 = -58", "Add 76 to both sides: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 7) - 90 = x - 58", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": 90, \"e\": -58, \"x\": 18}", "seed": "12648831219907028007", "semantic_fingerprint": "sha256:8c8f0a737fffe4fdc6f530e7a43635e22a718209c97d5c1b47f95fae51be5882", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003889", "prompt": "Solve for x: -2(x - 5) - 644 = 12(x - 68)", "solution_steps": ["Expand: -2x + 10 - 644 = 12(x - 68)", "Expand: -2x + 10 - 644 = 12x - 816", "Combine constants: -2x - 634 = 12x - 816", "Subtract 12x from both sides: -14x - 634 = -816", "Add 634 to both sides: -14x = -182", "Divide both sides by -14: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 5) - 644 = 12(x - 68)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 5, \"c\": 12, \"d\": 68, \"f\": -644, \"x\": 13}", "seed": "8997398524462587935", "semantic_fingerprint": "sha256:cd1aa548b2ea150fc0f3ab338f5b8fa895adf3344a5c21afc5d6dab4a6b76379", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003890", "prompt": "Evaluate: -91 / (40 + 899 + (-109 - (-6)))", "solution_steps": ["Add: 40 + 899 = 939", "Subtract: -109 - (-6) = -103", "Add: 939 + (-103) = 836", "Divide: -91 / 836 = -91/836"], "final_answer": "-91/836", "answer_type": "rational", "kind": "expression", "math_text": "-91 / (40 + 899 + (-109 - (-6)))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (+ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": 40, \"c\": 899, \"d\": -109, \"e\": -6}", "seed": "7816282357879328042", "semantic_fingerprint": "sha256:35d33540251304863f9d534e4185338a59d7e5388ef7a3b6dacffcf899efc46e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003891", "prompt": "Evaluate: 92 + (-1) / (-73 - 902)", "solution_steps": ["Subtract: -73 - 902 = -975", "Divide: -1 / (-975) = 1/975", "Add: 92 + 1/975 = 89701/975"], "final_answer": "89701/975", "answer_type": "rational", "kind": "expression", "math_text": "92 + (-1) / (-73 - 902)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": -1, \"c\": -73, \"d\": 902}", "seed": "7426683898740772596", "semantic_fingerprint": "sha256:f3e0b3a0750fe6b035e244619ddcdc1fb87b3f3b5ef28d2c4992de4492b023c5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003892", "prompt": "What is 80 + (-7) - (-9) - (-5) + (-838)?", "solution_steps": ["Add: 80 + (-7) = 73", "Subtract: 73 - (-9) = 82", "Subtract: 82 - (-5) = 87", "Add: 87 + (-838) = -751"], "final_answer": "-751", "answer_type": "integer", "kind": "expression", "math_text": "80 + (-7) - (-9) - (-5) + (-838)", "variable": null, "family": "expression_4op", "shape": "(+ (- (- (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": -7, \"c\": -9, \"d\": -5, \"e\": -838}", "seed": "10273733473124107111", "semantic_fingerprint": "sha256:30159dbaa00e92a7dd7b7a5f4db26c557540937fffdc8a879da68df7feca13e2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003893", "prompt": "What is (7 - (-14)) * (-21) * (-73)?", "solution_steps": ["Subtract: 7 - (-14) = 21", "Multiply: 21 * (-21) = -441", "Multiply: -441 * (-73) = 32193"], "final_answer": "32193", "answer_type": "integer", "kind": "expression", "math_text": "(7 - (-14)) * (-21) * (-73)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -14, \"c\": -21, \"d\": -73}", "seed": "17327034543518137581", "semantic_fingerprint": "sha256:6a6acde7ccb6d62b822b621ab511d7a96a889a011d49e1dc7a61e1a4a70515d9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003894", "prompt": "What value of x satisfies 6(x - 2) = 3x - 12?", "solution_steps": ["Expand: 6x - 12 = 3x - 12", "Subtract 3x from both sides: 3x - 12 = -12", "Add 12 to both sides: 3x = 0", "Divide both sides by 3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 2) = 3x - 12", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 3, \"d\": 12}", "seed": "6186934061364222441", "semantic_fingerprint": "sha256:6d558cfd51c64c1aee6f5dd3a4689f25656c4c17492d45c10789b166c5796263", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003895", "prompt": "Evaluate: 18 / (-2) - 9 + (-155 + (-2))", "solution_steps": ["Divide: 18 / (-2) = -9", "Subtract: -9 - 9 = -18", "Add: -155 + (-2) = -157", "Add: -18 + (-157) = -175"], "final_answer": "-175", "answer_type": "integer", "kind": "expression", "math_text": "18 / (-2) - 9 + (-155 + (-2))", "variable": null, "family": "expression_4op", "shape": "(+ (- (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": -2, \"c\": 9, \"d\": -155, \"e\": -2}", "seed": "13182917740280449416", "semantic_fingerprint": "sha256:8ba3bd1123332527ac3a1d72515f5915e59cd2041c85c2a3fac8ecc8bf46422f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003896", "prompt": "Calculate: 14 - (-855) / (-7 * 98)", "solution_steps": ["Multiply: -7 * 98 = -686", "Divide: -855 / (-686) = 855/686", "Subtract: 14 - 855/686 = 8749/686"], "final_answer": "8749/686", "answer_type": "rational", "kind": "expression", "math_text": "14 - (-855) / (-7 * 98)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -855, \"c\": -7, \"d\": 98}", "seed": "16793892212156887154", "semantic_fingerprint": "sha256:19992a70ea1d0afd3cd2f56b740dc72f5fc747560b433bc81aa0732415c9b352", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003897", "prompt": "What is -8 - 948 / (-6) - (-62) + (-22) / (-81)?", "solution_steps": ["Divide: 948 / (-6) = -158", "Subtract: -8 - (-158) = 150", "Subtract: 150 - (-62) = 212", "Divide: -22 / (-81) = 22/81", "Add: 212 + 22/81 = 17194/81"], "final_answer": "17194/81", "answer_type": "rational", "kind": "expression", "math_text": "-8 - 948 / (-6) - (-62) + (-22) / (-81)", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n (/ n n)) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 948, \"c\": -6, \"d\": -62, \"e\": -22, \"f\": -81}", "seed": "10443462654591540384", "semantic_fingerprint": "sha256:10c05ed4c0fdb8725811c68498563739db296b14602e106fa9294cf6a2568931", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003898", "prompt": "Evaluate: 20 * (-954 * (-37)) - (-49)", "solution_steps": ["Multiply: -954 * (-37) = 35298", "Multiply: 20 * 35298 = 705960", "Subtract: 705960 - (-49) = 706009"], "final_answer": "706009", "answer_type": "integer", "kind": "expression", "math_text": "20 * (-954 * (-37)) - (-49)", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": -954, \"c\": -37, \"d\": -49}", "seed": "13271073658976590361", "semantic_fingerprint": "sha256:3c1bbc1c76d112de9e19ccb568649180591b30d3c1bde4b42052d7bede7f1f08", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003899", "prompt": "What value of x satisfies 8(x + 2) - 91 = x - 124?", "solution_steps": ["Expand: 8x + 16 - 91 = x - 124", "Combine constants: 8x - 75 = x - 124", "Subtract x from both sides: 7x - 75 = -124", "Add 75 to both sides: 7x = -49", "Divide both sides by 7: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 2) - 91 = x - 124", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 91, \"e\": -124, \"x\": -7}", "seed": "13050377767335786738", "semantic_fingerprint": "sha256:ec15e8919c6871e5c772be37906168b258e553e55dc04c6607dadd4d5e239e85", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003900", "prompt": "Evaluate: (50 - (-58)) * (9 * (8 * (-42)) - 44)", "solution_steps": ["Subtract: 50 - (-58) = 108", "Multiply: 8 * (-42) = -336", "Multiply: 9 * (-336) = -3024", "Subtract: -3024 - 44 = -3068", "Multiply: 108 * (-3068) = -331344"], "final_answer": "-331344", "answer_type": "integer", "kind": "expression", "math_text": "(50 - (-58)) * (9 * (8 * (-42)) - 44)", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (- (* n (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -58, \"c\": 9, \"d\": 8, \"e\": -42, \"f\": 44}", "seed": "1662200171858715106", "semantic_fingerprint": "sha256:d185733fa4b3b0ae89130b86320c3571539f8dbf07e1c86d74b85ee0025e459d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003901", "prompt": "Evaluate: 4 * (578 / 4 / (-9 + (-6)))", "solution_steps": ["Divide: 578 / 4 = 289/2", "Add: -9 + (-6) = -15", "Divide: (289/2) / (-15) = -289/30", "Multiply: 4 * (-289/30) = -578/15"], "final_answer": "-578/15", "answer_type": "rational", "kind": "expression", "math_text": "4 * (578 / 4 / (-9 + (-6)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 578, \"c\": 4, \"d\": -9, \"e\": -6}", "seed": "6341784814322181649", "semantic_fingerprint": "sha256:64290e3608e26aaccb922aafc06a066fdfa7ec83e3a54d914d4c1c71cac40bf9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003902", "prompt": "Evaluate: 2 + (-937 * (-4) - 9)", "solution_steps": ["Multiply: -937 * (-4) = 3748", "Subtract: 3748 - 9 = 3739", "Add: 2 + 3739 = 3741"], "final_answer": "3741", "answer_type": "integer", "kind": "expression", "math_text": "2 + (-937 * (-4) - 9)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -937, \"c\": -4, \"d\": 9}", "seed": "11461391280029883274", "semantic_fingerprint": "sha256:3257ee7379d14825eb63ac81810cad7b0793aa93d00527209495e2624a2398b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003903", "prompt": "What is 92 / (881 * 345 / (-99))?", "solution_steps": ["Multiply: 881 * 345 = 303945", "Divide: 303945 / (-99) = -101315/33", "Divide: 92 / (-101315/33) = -132/4405"], "final_answer": "-132/4405", "answer_type": "rational", "kind": "expression", "math_text": "92 / (881 * 345 / (-99))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 881, \"c\": 345, \"d\": -99}", "seed": "8992735157320981114", "semantic_fingerprint": "sha256:33286bfafa0c3c524d821c5f6709a2cd5f2a70b7a410b17e9b114aeffb918d33", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003904", "prompt": "Solve the equation 3(x - 91) - 2 = -10(x - 8) - 485 for x.", "solution_steps": ["Expand: 3x - 273 - 2 = -10(x - 8) - 485", "Expand: 3x - 273 - 2 = -10x + 80 - 485", "Combine constants: 3x - 275 = -10x + 80 - 485", "Combine constants: 3x - 275 = -10x - 405", "Add 10x to both sides: 13x - 275 = -405", "Add 275 to both sides: 13x = -130", "Divide both sides by 13: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 91) - 2 = -10(x - 8) - 485", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 91, \"c\": 2, \"d\": -10, \"e\": 8, \"g\": -485, \"x\": -10}", "seed": "11538274669581510937", "semantic_fingerprint": "sha256:b9735bd34924c9dc1ede76a821cb542fbb0308d41e0d6f6b695d59bda9ad22fa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003905", "prompt": "What value of x satisfies -2(x + 13) + 3 = 4(x + 5) - 163?", "solution_steps": ["Expand: -2x - 26 + 3 = 4(x + 5) - 163", "Expand: -2x - 26 + 3 = 4x + 20 - 163", "Combine constants: -2x - 23 = 4x + 20 - 163", "Combine constants: -2x - 23 = 4x - 143", "Subtract 4x from both sides: -6x - 23 = -143", "Add 23 to both sides: -6x = -120", "Divide both sides by -6: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 13) + 3 = 4(x + 5) - 163", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 13, \"c\": 3, \"d\": 4, \"e\": 5, \"g\": -163, \"x\": 20}", "seed": "13858402870010919815", "semantic_fingerprint": "sha256:22cc31514a42052a2bccbae63d196147980a75aaa1aabe6a1995c43b11a780bb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003906", "prompt": "Calculate: 86 + 8 / (74 - 193)", "solution_steps": ["Subtract: 74 - 193 = -119", "Divide: 8 / (-119) = -8/119", "Add: 86 + (-8/119) = 10226/119"], "final_answer": "10226/119", "answer_type": "rational", "kind": "expression", "math_text": "86 + 8 / (74 - 193)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 8, \"c\": 74, \"d\": 193}", "seed": "15295247648896872018", "semantic_fingerprint": "sha256:0e372914b27cd12dd9478de99df1aa9bc74d55de8309654c56ab2b04e9dac323", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003907", "prompt": "What value of x satisfies 5(x - 36) - 610 = 11(x - 68)?", "solution_steps": ["Expand: 5x - 180 - 610 = 11(x - 68)", "Expand: 5x - 180 - 610 = 11x - 748", "Combine constants: 5x - 790 = 11x - 748", "Subtract 11x from both sides: -6x - 790 = -748", "Add 790 to both sides: -6x = 42", "Divide both sides by -6: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 36) - 610 = 11(x - 68)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 36, \"c\": 11, \"d\": 68, \"f\": -610, \"x\": -7}", "seed": "10613399868244151218", "semantic_fingerprint": "sha256:88434b7e2ae2cd25095b84cd4a258334ac17aa180231074265223be0b4beaedb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003908", "prompt": "Solve for x: 11(x - 3) + 198 = 9(x + 66) - 423", "solution_steps": ["Expand: 11x - 33 + 198 = 9(x + 66) - 423", "Expand: 11x - 33 + 198 = 9x + 594 - 423", "Combine constants: 11x + 165 = 9x + 594 - 423", "Combine constants: 11x + 165 = 9x + 171", "Subtract 9x from both sides: 2x + 165 = 171", "Subtract 165 from both sides: 2x = 6", "Divide both sides by 2: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 3) + 198 = 9(x + 66) - 423", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3, \"c\": 198, \"d\": 9, \"e\": 66, \"g\": -423, \"x\": 3}", "seed": "1383137621681522692", "semantic_fingerprint": "sha256:0881dd5b87b93ac39e89bfeb7ec11412fa385eb64130db2aec327ce8d7e66dec", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003909", "prompt": "Find x: -6(x + 6) + 966 = 12(x + 88) - 198", "solution_steps": ["Expand: -6x - 36 + 966 = 12(x + 88) - 198", "Expand: -6x - 36 + 966 = 12x + 1056 - 198", "Combine constants: -6x + 930 = 12x + 1056 - 198", "Combine constants: -6x + 930 = 12x + 858", "Subtract 12x from both sides: -18x + 930 = 858", "Subtract 930 from both sides: -18x = -72", "Divide both sides by -18: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 6) + 966 = 12(x + 88) - 198", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 6, \"c\": 966, \"d\": 12, \"e\": 88, \"g\": -198, \"x\": 4}", "seed": "3683302979677215700", "semantic_fingerprint": "sha256:5c49f0b4afa8cb0704cca98d864b743f7417824e39c81bf6f30727fdc0fbaee6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003910", "prompt": "Solve the equation -10(x - 61) - 850 = 2(x - 12) for x.", "solution_steps": ["Expand: -10x + 610 - 850 = 2(x - 12)", "Expand: -10x + 610 - 850 = 2x - 24", "Combine constants: -10x - 240 = 2x - 24", "Subtract 2x from both sides: -12x - 240 = -24", "Add 240 to both sides: -12x = 216", "Divide both sides by -12: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 61) - 850 = 2(x - 12)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 61, \"c\": 2, \"d\": 12, \"f\": -850, \"x\": -18}", "seed": "891255886066630888", "semantic_fingerprint": "sha256:e3687cc84cf5f8d0032e0e2c5fe58d7132928537071972f77951ea7a614b640c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003911", "prompt": "Compute: -96 / (-33) + (79 + (-865)) * 95", "solution_steps": ["Divide: -96 / (-33) = 32/11", "Add: 79 + (-865) = -786", "Multiply: -786 * 95 = -74670", "Add: 32/11 + (-74670) = -821338/11"], "final_answer": "-821338/11", "answer_type": "rational", "kind": "expression", "math_text": "-96 / (-33) + (79 + (-865)) * 95", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": -33, \"c\": 79, \"d\": -865, \"e\": 95}", "seed": "1859852628420797082", "semantic_fingerprint": "sha256:f559dcd77a6ad8335173badcdba19632cb708509842d120724b5b8204690ed47", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003912", "prompt": "Compute: 6 + (-948) / (-53 - (-79))", "solution_steps": ["Subtract: -53 - (-79) = 26", "Divide: -948 / 26 = -474/13", "Add: 6 + (-474/13) = -396/13"], "final_answer": "-396/13", "answer_type": "rational", "kind": "expression", "math_text": "6 + (-948) / (-53 - (-79))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -948, \"c\": -53, \"d\": -79}", "seed": "16719094305982196421", "semantic_fingerprint": "sha256:491cdbf0756a25643bd2db0f7e6cee578d9de4fc1e08ce32698a20ea25b1655e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003913", "prompt": "Calculate: -871 - (-38 - (6 - 64))", "solution_steps": ["Subtract: 6 - 64 = -58", "Subtract: -38 - (-58) = 20", "Subtract: -871 - 20 = -891"], "final_answer": "-891", "answer_type": "integer", "kind": "expression", "math_text": "-871 - (-38 - (6 - 64))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -871, \"b\": -38, \"c\": 6, \"d\": 64}", "seed": "13712839640152245233", "semantic_fingerprint": "sha256:e5c8043be3a6bcd4574cf2bcf571d6cb2ba5eff143d615b522cb8640486c24ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003914", "prompt": "Calculate: 2 + (-98) / (-13) / 9", "solution_steps": ["Divide: -98 / (-13) = 98/13", "Divide: (98/13) / 9 = 98/117", "Add: 2 + 98/117 = 332/117"], "final_answer": "332/117", "answer_type": "rational", "kind": "expression", "math_text": "2 + (-98) / (-13) / 9", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -98, \"c\": -13, \"d\": 9}", "seed": "10873556956708271531", "semantic_fingerprint": "sha256:209a90093209e058c3fd0c09c6b346f215a364cd00632e616547019212c3dba3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003915", "prompt": "Evaluate: 397 - (-2) - (-7 + (-35)) - (-18) * 21", "solution_steps": ["Subtract: 397 - (-2) = 399", "Add: -7 + (-35) = -42", "Subtract: 399 - (-42) = 441", "Multiply: -18 * 21 = -378", "Subtract: 441 - (-378) = 819"], "final_answer": "819", "answer_type": "integer", "kind": "expression", "math_text": "397 - (-2) - (-7 + (-35)) - (-18) * 21", "variable": null, "family": "expression_5op", "shape": "(- (- (- n n) (+ n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 397, \"b\": -2, \"c\": -7, \"d\": -35, \"e\": -18, \"f\": 21}", "seed": "1468261338844714867", "semantic_fingerprint": "sha256:d861ed63c09d3edfa3ea1dc18545992d428cc6b0c181ef59aaf942ae2ad67444", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003916", "prompt": "Solve for x: 2(x - 470) + 9 = 3(x + 8) - 944", "solution_steps": ["Expand: 2x - 940 + 9 = 3(x + 8) - 944", "Expand: 2x - 940 + 9 = 3x + 24 - 944", "Combine constants: 2x - 931 = 3x + 24 - 944", "Combine constants: 2x - 931 = 3x - 920", "Subtract 3x from both sides: -x - 931 = -920", "Add 931 to both sides: -x = 11", "Divide both sides by -1: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 470) + 9 = 3(x + 8) - 944", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 470, \"c\": 9, \"d\": 3, \"e\": 8, \"g\": -944, \"x\": -11}", "seed": "12366580594558421161", "semantic_fingerprint": "sha256:23c411e36f7f343997646ea0e41250e403cb8299c001d2b67b68e775cbb2ec8d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003917", "prompt": "What is 182 / (780 - (-92 - (-97)) * (-1))?", "solution_steps": ["Subtract: -92 - (-97) = 5", "Multiply: 5 * (-1) = -5", "Subtract: 780 - (-5) = 785", "Divide: 182 / 785 = 182/785"], "final_answer": "182/785", "answer_type": "rational", "kind": "expression", "math_text": "182 / (780 - (-92 - (-97)) * (-1))", "variable": null, "family": "expression_4op", "shape": "(/ n (- n (* (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 182, \"b\": 780, \"c\": -92, \"d\": -97, \"e\": -1}", "seed": "18049266419568215769", "semantic_fingerprint": "sha256:18bb8bdccc5ba2a4748c23f48671e5fd6b171cdeb902c504e10385e27c220ebb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003918", "prompt": "Compute: 916 + (-684 + 1) - 955", "solution_steps": ["Add: -684 + 1 = -683", "Add: 916 + (-683) = 233", "Subtract: 233 - 955 = -722"], "final_answer": "-722", "answer_type": "integer", "kind": "expression", "math_text": "916 + (-684 + 1) - 955", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 916, \"b\": -684, \"c\": 1, \"d\": 955}", "seed": "13030492264841323171", "semantic_fingerprint": "sha256:9665cf8178d91f543c66809a935d8aa77722ba23c69bd032d87d3a8e65743f99", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003919", "prompt": "Solve the equation x - 6 = 11(x - 87) + 801 for x.", "solution_steps": ["Expand: x - 6 = 11x - 957 + 801", "Combine constants: x - 6 = 11x - 156", "Subtract 11x from both sides: -10x - 6 = -156", "Add 6 to both sides: -10x = -150", "Divide both sides by -10: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6 = 11(x - 87) + 801", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 11, \"c\": 87, \"e\": 801, \"x\": 15}", "seed": "10294633949230421933", "semantic_fingerprint": "sha256:19c1eb4af6be07d10dac841d103c888e51dce2f60d16065e3647ab363601593e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003920", "prompt": "What is 92 - 2 - 956 * (39 * (-1) - (-4))?", "solution_steps": ["Subtract: 92 - 2 = 90", "Multiply: 39 * (-1) = -39", "Subtract: -39 - (-4) = -35", "Multiply: 956 * (-35) = -33460", "Subtract: 90 - (-33460) = 33550"], "final_answer": "33550", "answer_type": "integer", "kind": "expression", "math_text": "92 - 2 - 956 * (39 * (-1) - (-4))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (* n (- (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 2, \"c\": 956, \"d\": 39, \"e\": -1, \"f\": -4}", "seed": "3509338082440440666", "semantic_fingerprint": "sha256:ca1683648abf0333085a9f6a864e1d2741309273af0fdd1a5e056462376659a7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003921", "prompt": "Compute: (-302 + 5) / (-68 / (-9))", "solution_steps": ["Add: -302 + 5 = -297", "Divide: -68 / (-9) = 68/9", "Divide: -297 / (68/9) = -2673/68"], "final_answer": "-2673/68", "answer_type": "rational", "kind": "expression", "math_text": "(-302 + 5) / (-68 / (-9))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -302, \"b\": 5, \"c\": -68, \"d\": -9}", "seed": "7294187640432398268", "semantic_fingerprint": "sha256:8012cf7a74db42dd0e675c818862b7ccba5d73c649c8bbbaf056bc6cf75af97c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003922", "prompt": "Solve the equation 7(x - 5) = 9x - 47 for x.", "solution_steps": ["Expand: 7x - 35 = 9x - 47", "Subtract 9x from both sides: -2x - 35 = -47", "Add 35 to both sides: -2x = -12", "Divide both sides by -2: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 5) = 9x - 47", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 9, \"e\": -47, \"x\": 6}", "seed": "7516279558691182349", "semantic_fingerprint": "sha256:58c461b1845ff2130c96fcceea6c511e99a0d25c6f2735d2816a0ec6fb3df1e6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003923", "prompt": "What is -61 * 87 + (17 * (-2) + (-94))?", "solution_steps": ["Multiply: -61 * 87 = -5307", "Multiply: 17 * (-2) = -34", "Add: -34 + (-94) = -128", "Add: -5307 + (-128) = -5435"], "final_answer": "-5435", "answer_type": "integer", "kind": "expression", "math_text": "-61 * 87 + (17 * (-2) + (-94))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": 87, \"c\": 17, \"d\": -2, \"e\": -94}", "seed": "17172993352533015234", "semantic_fingerprint": "sha256:7fc2680c9a7899570232ba41002e62d90ddc54daaa7bd5765b1e80705f278225", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003924", "prompt": "Calculate: 509 / (-8) - 3 - (-304)", "solution_steps": ["Divide: 509 / (-8) = -509/8", "Subtract: -509/8 - 3 = -533/8", "Subtract: -533/8 - (-304) = 1899/8"], "final_answer": "1899/8", "answer_type": "rational", "kind": "expression", "math_text": "509 / (-8) - 3 - (-304)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 509, \"b\": -8, \"c\": 3, \"d\": -304}", "seed": "11523120319251376881", "semantic_fingerprint": "sha256:64ab269fe1666b9e2cc8e5be5af543cf28b09a38906697e3617f0b7726b4fa32", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003925", "prompt": "Calculate: -69 / (-65) + 955 / 52", "solution_steps": ["Divide: -69 / (-65) = 69/65", "Divide: 955 / 52 = 955/52", "Add: 69/65 + 955/52 = 5051/260"], "final_answer": "5051/260", "answer_type": "rational", "kind": "expression", "math_text": "-69 / (-65) + 955 / 52", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": -65, \"c\": 955, \"d\": 52}", "seed": "15013006850828212651", "semantic_fingerprint": "sha256:541c33c277a9177f8696bc773961a1cfa62d41ba08d5065eafb5b3f94a0eb5fe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003926", "prompt": "Evaluate: -9 + 4 / (3 - (-52)) * 8", "solution_steps": ["Subtract: 3 - (-52) = 55", "Divide: 4 / 55 = 4/55", "Multiply: (4/55) * 8 = 32/55", "Add: -9 + 32/55 = -463/55"], "final_answer": "-463/55", "answer_type": "rational", "kind": "expression", "math_text": "-9 + 4 / (3 - (-52)) * 8", "variable": null, "family": "expression_4op", "shape": "(+ n (* (/ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 4, \"c\": 3, \"d\": -52, \"e\": 8}", "seed": "15611492428279417791", "semantic_fingerprint": "sha256:edef29bbca577084062acb6746b00697d5661249ff0bf93fab1fc022181eea35", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003927", "prompt": "Compute: -91 / ((67 + 14) / 7 / 5) * 20", "solution_steps": ["Add: 67 + 14 = 81", "Divide: 81 / 7 = 81/7", "Divide: (81/7) / 5 = 81/35", "Divide: -91 / (81/35) = -3185/81", "Multiply: (-3185/81) * 20 = -63700/81"], "final_answer": "-63700/81", "answer_type": "rational", "kind": "expression", "math_text": "-91 / ((67 + 14) / 7 / 5) * 20", "variable": null, "family": "expression_5op", "shape": "(* (/ n (/ (/ (+ n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": 67, \"c\": 14, \"d\": 7, \"e\": 5, \"f\": 20}", "seed": "17783348165008390404", "semantic_fingerprint": "sha256:0eb4104d8db46f9e01ce4bd13830267718b71a8277afca43836c7f1d5847edda", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003928", "prompt": "Solve for x: -9x - 10 = 12(x + 3) + 353", "solution_steps": ["Expand: -9x - 10 = 12x + 36 + 353", "Combine constants: -9x - 10 = 12x + 389", "Subtract 12x from both sides: -21x - 10 = 389", "Add 10 to both sides: -21x = 399", "Divide both sides by -21: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 10 = 12(x + 3) + 353", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 10, \"c\": 12, \"d\": 3, \"f\": 353, \"x\": -19}", "seed": "10992323561051664337", "semantic_fingerprint": "sha256:3b748df47d4721bfa3c7bed8dfc29432bb33f490bbf1540080455b4f0a73f9cc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003929", "prompt": "Solve the equation 4(x - 459) = 2x - 42 for x.", "solution_steps": ["Expand: 4x - 1836 = 2x - 42", "Subtract 2x from both sides: 2x - 1836 = -42", "Add 1836 to both sides: 2x = 1794", "Divide both sides by 2: x = 897"], "final_answer": "897", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 459) = 2x - 42", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 459, \"c\": 2, \"d\": 42}", "seed": "4854555113019162724", "semantic_fingerprint": "sha256:5161ac5cb7e315934761f190acef5a9f89793fde71d72fb5740b14aebb44d7db", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003930", "prompt": "Solve the equation 8(x - 57) + 96 = -11x + 673 for x.", "solution_steps": ["Expand: 8x - 456 + 96 = -11x + 673", "Combine constants: 8x - 360 = -11x + 673", "Add 11x to both sides: 19x - 360 = 673", "Add 360 to both sides: 19x = 1033", "Divide both sides by 19: x = 1033/19"], "final_answer": "1033/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 57) + 96 = -11x + 673", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 57, \"c\": 96, \"d\": -11, \"e\": 673}", "seed": "9306926886138723718", "semantic_fingerprint": "sha256:4ff5f46129231ada7ea96d1e96c0a39dd58d32b9992bf6500a6bde5d2dc13ad1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003931", "prompt": "What is -58 * 288 / (61 + 13)?", "solution_steps": ["Multiply: -58 * 288 = -16704", "Add: 61 + 13 = 74", "Divide: -16704 / 74 = -8352/37"], "final_answer": "-8352/37", "answer_type": "rational", "kind": "expression", "math_text": "-58 * 288 / (61 + 13)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": 288, \"c\": 61, \"d\": 13}", "seed": "13135104865222686033", "semantic_fingerprint": "sha256:daf0bb44360825edc6da1338b4183d65d2549fbc5aace2ccc89fcf5579bfef51", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003932", "prompt": "Solve the equation -11(x + 33) + 60 = 7(x + 35) - 512 for x.", "solution_steps": ["Expand: -11x - 363 + 60 = 7(x + 35) - 512", "Expand: -11x - 363 + 60 = 7x + 245 - 512", "Combine constants: -11x - 303 = 7x + 245 - 512", "Combine constants: -11x - 303 = 7x - 267", "Subtract 7x from both sides: -18x - 303 = -267", "Add 303 to both sides: -18x = 36", "Divide both sides by -18: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 33) + 60 = 7(x + 35) - 512", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 33, \"c\": 60, \"d\": 7, \"e\": 35, \"g\": -512, \"x\": -2}", "seed": "9445330213042584247", "semantic_fingerprint": "sha256:d944e5812329ac059b0e25e39f1e218ef499ddd7730abc5abc57b8b9f017b4c7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003933", "prompt": "Compute: -787 * (-97 * 5) - 62", "solution_steps": ["Multiply: -97 * 5 = -485", "Multiply: -787 * (-485) = 381695", "Subtract: 381695 - 62 = 381633"], "final_answer": "381633", "answer_type": "integer", "kind": "expression", "math_text": "-787 * (-97 * 5) - 62", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -787, \"b\": -97, \"c\": 5, \"d\": 62}", "seed": "12843028910359635004", "semantic_fingerprint": "sha256:8a1d0e50f41bacfb2407ace7cd2a89bfe9db24f574300683cf7682e51a76791a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003934", "prompt": "Evaluate: (63 + (-46) * (-67)) * (-11 * 8)", "solution_steps": ["Multiply: -46 * (-67) = 3082", "Add: 63 + 3082 = 3145", "Multiply: -11 * 8 = -88", "Multiply: 3145 * (-88) = -276760"], "final_answer": "-276760", "answer_type": "integer", "kind": "expression", "math_text": "(63 + (-46) * (-67)) * (-11 * 8)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -46, \"c\": -67, \"d\": -11, \"e\": 8}", "seed": "6304301654932687316", "semantic_fingerprint": "sha256:80a8eef526ae9ae7f60cae775dfd07a9a43c80bd3d0d49e0907dc975f23ae207", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003935", "prompt": "Compute: -2 / (-88) + 7 * (2 - 8 - (-72))", "solution_steps": ["Divide: -2 / (-88) = 1/44", "Subtract: 2 - 8 = -6", "Subtract: -6 - (-72) = 66", "Multiply: 7 * 66 = 462", "Add: 1/44 + 462 = 20329/44"], "final_answer": "20329/44", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-88) + 7 * (2 - 8 - (-72))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (* n (- (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -88, \"c\": 7, \"d\": 2, \"e\": 8, \"f\": -72}", "seed": "1657722838790697860", "semantic_fingerprint": "sha256:81f2d0e7116cb0a0f4fd2e903c44908dcbfc5d18e3457904fb3b30de70bd0f58", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003936", "prompt": "What is 0 + (-71) - 88 + 9?", "solution_steps": ["Add: 0 + (-71) = -71", "Subtract: -71 - 88 = -159", "Add: -159 + 9 = -150"], "final_answer": "-150", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-71) - 88 + 9", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -71, \"c\": 88, \"d\": 9}", "seed": "12231436092390749355", "semantic_fingerprint": "sha256:03ea0c417ee3f6d0926a5d786ead26c5932801474e05fae90c841e87e319e5c5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003937", "prompt": "Solve for x: x - 80 = 3(x - 78) + 156", "solution_steps": ["Expand: x - 80 = 3x - 234 + 156", "Combine constants: x - 80 = 3x - 78", "Subtract 3x from both sides: -2x - 80 = -78", "Add 80 to both sides: -2x = 2", "Divide both sides by -2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 80 = 3(x - 78) + 156", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": 3, \"c\": 78, \"e\": 156, \"x\": -1}", "seed": "2141741632245190276", "semantic_fingerprint": "sha256:25f763b3ed174216dbece09a5f9c266bd2a394fcad06f5e3ba17e95d1b5d2ab0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003938", "prompt": "What is 12 * (39 - (-2) + (74 - (62 + (-416))))?", "solution_steps": ["Subtract: 39 - (-2) = 41", "Add: 62 + (-416) = -354", "Subtract: 74 - (-354) = 428", "Add: 41 + 428 = 469", "Multiply: 12 * 469 = 5628"], "final_answer": "5628", "answer_type": "integer", "kind": "expression", "math_text": "12 * (39 - (-2) + (74 - (62 + (-416))))", "variable": null, "family": "expression_5op", "shape": "(* n (+ (- n n) (- n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 39, \"c\": -2, \"d\": 74, \"e\": 62, \"f\": -416}", "seed": "14739417749061924741", "semantic_fingerprint": "sha256:fafa98d50e0e44610c23f39c036b29392da64654d77a60f771fc9effec1be9b4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003939", "prompt": "Calculate: -994 + (3 + (-35)) - 36", "solution_steps": ["Add: 3 + (-35) = -32", "Add: -994 + (-32) = -1026", "Subtract: -1026 - 36 = -1062"], "final_answer": "-1062", "answer_type": "integer", "kind": "expression", "math_text": "-994 + (3 + (-35)) - 36", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -994, \"b\": 3, \"c\": -35, \"d\": 36}", "seed": "13923570155461127818", "semantic_fingerprint": "sha256:184c3cfef403cbb8519aa560ac135d09a0aaa3f1e5cc655de28818f28a153830", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003940", "prompt": "Compute: -4 - 237 - (-661 / 830 + 519)", "solution_steps": ["Subtract: -4 - 237 = -241", "Divide: -661 / 830 = -661/830", "Add: -661/830 + 519 = 430109/830", "Subtract: -241 - 430109/830 = -630139/830"], "final_answer": "-630139/830", "answer_type": "rational", "kind": "expression", "math_text": "-4 - 237 - (-661 / 830 + 519)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 237, \"c\": -661, \"d\": 830, \"e\": 519}", "seed": "12486750099955486382", "semantic_fingerprint": "sha256:c0c33d7b14487d814e7ca1c3894d514e2c86635224d911014d6286804cc553ab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003941", "prompt": "Calculate: (22 - (-89)) * (47 * (-39))", "solution_steps": ["Subtract: 22 - (-89) = 111", "Multiply: 47 * (-39) = -1833", "Multiply: 111 * (-1833) = -203463"], "final_answer": "-203463", "answer_type": "integer", "kind": "expression", "math_text": "(22 - (-89)) * (47 * (-39))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": -89, \"c\": 47, \"d\": -39}", "seed": "4826788998969684351", "semantic_fingerprint": "sha256:ed126093e424e46b4981930c820354828392bb153d0ceb763b7bd87e059b659a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003942", "prompt": "What value of x satisfies 2(x - 7) + 27 = 3x + 2?", "solution_steps": ["Expand: 2x - 14 + 27 = 3x + 2", "Combine constants: 2x + 13 = 3x + 2", "Subtract 3x from both sides: -x + 13 = 2", "Subtract 13 from both sides: -x = -11", "Divide both sides by -1: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 7) + 27 = 3x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": 27, \"d\": 3, \"e\": 2}", "seed": "15859510448304714893", "semantic_fingerprint": "sha256:71cd7a184c440e1786d1b8f5d607c4b14ba4bc34ec2bf45d0559fa5531bad772", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003943", "prompt": "Find x: -2(x - 3) - 456 = 11(x - 60) - 37", "solution_steps": ["Expand: -2x + 6 - 456 = 11(x - 60) - 37", "Expand: -2x + 6 - 456 = 11x - 660 - 37", "Combine constants: -2x - 450 = 11x - 660 - 37", "Combine constants: -2x - 450 = 11x - 697", "Subtract 11x from both sides: -13x - 450 = -697", "Add 450 to both sides: -13x = -247", "Divide both sides by -13: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 3) - 456 = 11(x - 60) - 37", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 3, \"c\": 456, \"d\": 11, \"e\": 60, \"g\": -37, \"x\": 19}", "seed": "13812697868430802664", "semantic_fingerprint": "sha256:9be605f2875b240f4f21f9240f8540ab5e5ff7de85b90bda413d737e827eb6ee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003944", "prompt": "Solve for x: 4(x - 87) + 424 = -4(x - 25)", "solution_steps": ["Expand: 4x - 348 + 424 = -4(x - 25)", "Expand: 4x - 348 + 424 = -4x + 100", "Combine constants: 4x + 76 = -4x + 100", "Add 4x to both sides: 8x + 76 = 100", "Subtract 76 from both sides: 8x = 24", "Divide both sides by 8: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 87) + 424 = -4(x - 25)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 87, \"c\": -4, \"d\": 25, \"f\": 424, \"x\": 3}", "seed": "7590531179003341919", "semantic_fingerprint": "sha256:f11aa7f880c32485f2dbbedc49b621ed16050767fcf575a173e0074b294e853a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003945", "prompt": "What value of x satisfies x - 9 = 4(x - 86) + 413?", "solution_steps": ["Expand: x - 9 = 4x - 344 + 413", "Combine constants: x - 9 = 4x + 69", "Subtract 4x from both sides: -3x - 9 = 69", "Add 9 to both sides: -3x = 78", "Divide both sides by -3: x = -26"], "final_answer": "-26", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9 = 4(x - 86) + 413", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": 86, \"d\": 413}", "seed": "13874068878918929225", "semantic_fingerprint": "sha256:0db6e7e46ea9130d050c308291515864cb22e3165f3ce4a1dbf5f923cf27b09b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003946", "prompt": "What is 2 / (-88) + 2 / (-14)?", "solution_steps": ["Divide: 2 / (-88) = -1/44", "Divide: 2 / (-14) = -1/7", "Add: -1/44 + (-1/7) = -51/308"], "final_answer": "-51/308", "answer_type": "rational", "kind": "expression", "math_text": "2 / (-88) + 2 / (-14)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -88, \"c\": 2, \"d\": -14}", "seed": "12665581508871199692", "semantic_fingerprint": "sha256:aea9883d2bfaed901c504f0c4ce551732383494cb53c5a2dd6a9cbd2fd12a479", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003947", "prompt": "Solve for x: -7(x - 1) - 994 = 6(x - 145)", "solution_steps": ["Expand: -7x + 7 - 994 = 6(x - 145)", "Expand: -7x + 7 - 994 = 6x - 870", "Combine constants: -7x - 987 = 6x - 870", "Subtract 6x from both sides: -13x - 987 = -870", "Add 987 to both sides: -13x = 117", "Divide both sides by -13: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 1) - 994 = 6(x - 145)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 1, \"c\": 6, \"d\": 145, \"f\": -994, \"x\": -9}", "seed": "9939671148012335028", "semantic_fingerprint": "sha256:bc1feb26d53cb51bce419a75f45b76d31abe9a6ace240d308f2a7ba2dc2602ee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003948", "prompt": "Calculate: 78 + (-7 + (-80)) - (-435)", "solution_steps": ["Add: -7 + (-80) = -87", "Add: 78 + (-87) = -9", "Subtract: -9 - (-435) = 426"], "final_answer": "426", "answer_type": "integer", "kind": "expression", "math_text": "78 + (-7 + (-80)) - (-435)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": -7, \"c\": -80, \"d\": -435}", "seed": "18250932571517198325", "semantic_fingerprint": "sha256:a1cf5fefb6991c1b34f791bd231224d4e015e014e4d1d066643a97a51d34e672", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003949", "prompt": "Solve for x: -8(x + 69) - 5 = x - 512", "solution_steps": ["Expand: -8x - 552 - 5 = x - 512", "Combine constants: -8x - 557 = x - 512", "Subtract x from both sides: -9x - 557 = -512", "Add 557 to both sides: -9x = 45", "Divide both sides by -9: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 69) - 5 = x - 512", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 69, \"c\": 5, \"e\": -512, \"x\": -5}", "seed": "3760961458163547276", "semantic_fingerprint": "sha256:4e74a601d1008532bb701c000af247c18e274c653856f7f4a7281813bb56dc55", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003950", "prompt": "Solve the equation -3(x - 47) - 24 = -2(x - 53) for x.", "solution_steps": ["Expand: -3x + 141 - 24 = -2(x - 53)", "Expand: -3x + 141 - 24 = -2x + 106", "Combine constants: -3x + 117 = -2x + 106", "Add 2x to both sides: -x + 117 = 106", "Subtract 117 from both sides: -x = -11", "Divide both sides by -1: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 47) - 24 = -2(x - 53)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 47, \"c\": -2, \"d\": 53, \"f\": -24, \"x\": 11}", "seed": "2778020164222155659", "semantic_fingerprint": "sha256:c8cba356c78e26335f6f302659f42d679151082718720a0eedcd29d00abc7ab2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003951", "prompt": "Solve for x: 2(x - 1) - 64 = 8(x - 951) - 350", "solution_steps": ["Expand: 2x - 2 - 64 = 8(x - 951) - 350", "Expand: 2x - 2 - 64 = 8x - 7608 - 350", "Combine constants: 2x - 66 = 8x - 7608 - 350", "Combine constants: 2x - 66 = 8x - 7958", "Subtract 8x from both sides: -6x - 66 = -7958", "Add 66 to both sides: -6x = -7892", "Divide both sides by -6: x = 3946/3"], "final_answer": "3946/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 1) - 64 = 8(x - 951) - 350", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 1, \"c\": 64, \"d\": 8, \"e\": 951, \"f\": 350}", "seed": "6009211403293295204", "semantic_fingerprint": "sha256:6e732f27f741dbe348bf3bf52e886cb181f30a16e2570cb76371e005c61e2dae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003952", "prompt": "What is -6 / (-226 - (-1)) * ((-4 - (-5)) * (-1))?", "solution_steps": ["Subtract: -226 - (-1) = -225", "Divide: -6 / (-225) = 2/75", "Subtract: -4 - (-5) = 1", "Multiply: 1 * (-1) = -1", "Multiply: (2/75) * (-1) = -2/75"], "final_answer": "-2/75", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-226 - (-1)) * ((-4 - (-5)) * (-1))", "variable": null, "family": "expression_5op", "shape": "(* (/ n (- n n)) (* (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -226, \"c\": -1, \"d\": -4, \"e\": -5, \"f\": -1}", "seed": "8290957525385759775", "semantic_fingerprint": "sha256:bb5e70ab780441767b418fcb4994cfecada0a8af76b1e566a3780f85fd61d1da", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003953", "prompt": "Evaluate: 82 * (-1 * (-412)) - (-62)", "solution_steps": ["Multiply: -1 * (-412) = 412", "Multiply: 82 * 412 = 33784", "Subtract: 33784 - (-62) = 33846"], "final_answer": "33846", "answer_type": "integer", "kind": "expression", "math_text": "82 * (-1 * (-412)) - (-62)", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": -1, \"c\": -412, \"d\": -62}", "seed": "9443762730508767143", "semantic_fingerprint": "sha256:ba2834aba1b5418bf6e574133ea5efa1ae4324702483531d09bd7f7197d881b2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003954", "prompt": "What is (-8 - (-58)) / (-789 / (745 + (-25)))?", "solution_steps": ["Subtract: -8 - (-58) = 50", "Add: 745 + (-25) = 720", "Divide: -789 / 720 = -263/240", "Divide: 50 / (-263/240) = -12000/263"], "final_answer": "-12000/263", "answer_type": "rational", "kind": "expression", "math_text": "(-8 - (-58)) / (-789 / (745 + (-25)))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -58, \"c\": -789, \"d\": 745, \"e\": -25}", "seed": "10244670679377733680", "semantic_fingerprint": "sha256:2524a943456cdd504dc9821d4a62828b6812a60b01e302c649c960906cd97486", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003955", "prompt": "Solve for x: -3(x - 418) + 113 = 12x + 45", "solution_steps": ["Expand: -3x + 1254 + 113 = 12x + 45", "Combine constants: -3x + 1367 = 12x + 45", "Subtract 12x from both sides: -15x + 1367 = 45", "Subtract 1367 from both sides: -15x = -1322", "Divide both sides by -15: x = 1322/15"], "final_answer": "1322/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 418) + 113 = 12x + 45", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 418, \"c\": 113, \"d\": 12, \"e\": 45}", "seed": "2546042957817845939", "semantic_fingerprint": "sha256:e95c5b00c50e65ceec692cb77baf72c80dcb0735f7733d13d8be19212103e96b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003956", "prompt": "What value of x satisfies 8(x - 143) - 30 = 12(x - 57)?", "solution_steps": ["Expand: 8x - 1144 - 30 = 12(x - 57)", "Expand: 8x - 1144 - 30 = 12x - 684", "Combine constants: 8x - 1174 = 12x - 684", "Subtract 12x from both sides: -4x - 1174 = -684", "Add 1174 to both sides: -4x = 490", "Divide both sides by -4: x = -245/2"], "final_answer": "-245/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 143) - 30 = 12(x - 57)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 143, \"c\": 30, \"d\": 12, \"e\": 57}", "seed": "5883740218411609952", "semantic_fingerprint": "sha256:258133e5e1632f3063e3c943d3d918e5a6b4217af591cd7d74ab83b6a981ed79", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003957", "prompt": "Evaluate: (3 / (-13) + (-7)) * 44", "solution_steps": ["Divide: 3 / (-13) = -3/13", "Add: -3/13 + (-7) = -94/13", "Multiply: (-94/13) * 44 = -4136/13"], "final_answer": "-4136/13", "answer_type": "rational", "kind": "expression", "math_text": "(3 / (-13) + (-7)) * 44", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -13, \"c\": -7, \"d\": 44}", "seed": "17594665937312972407", "semantic_fingerprint": "sha256:49fc310327814b7d518320bf53af8dcbef8a0ca518843f434df2b301c7b6e7f4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003958", "prompt": "Solve for x: 9(x - 27) - 88 = 6(x - 228) - 5", "solution_steps": ["Expand: 9x - 243 - 88 = 6(x - 228) - 5", "Expand: 9x - 243 - 88 = 6x - 1368 - 5", "Combine constants: 9x - 331 = 6x - 1368 - 5", "Combine constants: 9x - 331 = 6x - 1373", "Subtract 6x from both sides: 3x - 331 = -1373", "Add 331 to both sides: 3x = -1042", "Divide both sides by 3: x = -1042/3"], "final_answer": "-1042/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 27) - 88 = 6(x - 228) - 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 27, \"c\": 88, \"d\": 6, \"e\": 228, \"f\": 5}", "seed": "2884450819253556564", "semantic_fingerprint": "sha256:0db6502af4a16c62cec9be03b92dfd6367a20577aa9ea6574b809a7369800d47", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003959", "prompt": "Solve for x: -12(x - 2) - 6 = -11(x - 19) - 208", "solution_steps": ["Expand: -12x + 24 - 6 = -11(x - 19) - 208", "Expand: -12x + 24 - 6 = -11x + 209 - 208", "Combine constants: -12x + 18 = -11x + 209 - 208", "Combine constants: -12x + 18 = -11x + 1", "Add 11x to both sides: -x + 18 = 1", "Subtract 18 from both sides: -x = -17", "Divide both sides by -1: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 2) - 6 = -11(x - 19) - 208", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 2, \"c\": 6, \"d\": -11, \"e\": 19, \"g\": -208, \"x\": 17}", "seed": "11354344768990904629", "semantic_fingerprint": "sha256:0d308b25f95ac782dab02beace5e877296e44ab6d0b82b2442727f9d41dbd5c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003960", "prompt": "What is (-694 + 0) / (-6 * 5) - 32?", "solution_steps": ["Add: -694 + 0 = -694", "Multiply: -6 * 5 = -30", "Divide: -694 / (-30) = 347/15", "Subtract: 347/15 - 32 = -133/15"], "final_answer": "-133/15", "answer_type": "rational", "kind": "expression", "math_text": "(-694 + 0) / (-6 * 5) - 32", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -694, \"b\": 0, \"c\": -6, \"d\": 5, \"e\": 32}", "seed": "12505833066505122642", "semantic_fingerprint": "sha256:719cae03fa346eb7b072c5cb9e96b1833c557bd298a178a0ca162f46618e50af", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003961", "prompt": "Compute: (0 - (-2)) * (-96 * (-667))", "solution_steps": ["Subtract: 0 - (-2) = 2", "Multiply: -96 * (-667) = 64032", "Multiply: 2 * 64032 = 128064"], "final_answer": "128064", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-2)) * (-96 * (-667))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -2, \"c\": -96, \"d\": -667}", "seed": "13650545885177518672", "semantic_fingerprint": "sha256:8c5be5ffc8e1c48a138bede475c813534659a895ce2031842096a95d2f9706df", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003962", "prompt": "Evaluate: -5 * (1 - 251) / (260 * (-8) / (-6))", "solution_steps": ["Subtract: 1 - 251 = -250", "Multiply: -5 * (-250) = 1250", "Multiply: 260 * (-8) = -2080", "Divide: -2080 / (-6) = 1040/3", "Divide: 1250 / (1040/3) = 375/104"], "final_answer": "375/104", "answer_type": "rational", "kind": "expression", "math_text": "-5 * (1 - 251) / (260 * (-8) / (-6))", "variable": null, "family": "expression_5op", "shape": "(/ (* n (- n n)) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 1, \"c\": 251, \"d\": 260, \"e\": -8, \"f\": -6}", "seed": "487151720966535830", "semantic_fingerprint": "sha256:ed55520d7e1d0118367627928bcc05d1df360ab27186c96ab839b1fce727fc16", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003963", "prompt": "What is 3 * (-590 + 6) - (25 / (-363) + 2)?", "solution_steps": ["Add: -590 + 6 = -584", "Multiply: 3 * (-584) = -1752", "Divide: 25 / (-363) = -25/363", "Add: -25/363 + 2 = 701/363", "Subtract: -1752 - 701/363 = -636677/363"], "final_answer": "-636677/363", "answer_type": "rational", "kind": "expression", "math_text": "3 * (-590 + 6) - (25 / (-363) + 2)", "variable": null, "family": "expression_5op", "shape": "(- (* n (+ n n)) (+ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -590, \"c\": 6, \"d\": 25, \"e\": -363, \"f\": 2}", "seed": "13995459374334806638", "semantic_fingerprint": "sha256:5eac4317675ecf96ceada3ad65d9a61d7c185ef9545f4ab65577eac1f0735b79", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003964", "prompt": "Solve for x: -9(x - 221) = 5x - 4", "solution_steps": ["Expand: -9x + 1989 = 5x - 4", "Subtract 5x from both sides: -14x + 1989 = -4", "Subtract 1989 from both sides: -14x = -1993", "Divide both sides by -14: x = 1993/14"], "final_answer": "1993/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 221) = 5x - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 221, \"c\": 5, \"d\": 4}", "seed": "10194925355374871383", "semantic_fingerprint": "sha256:c1e485e9bd0139ced2b171eca9152b37145364058ba02b3cff9567c8129dddda", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003965", "prompt": "Compute: (-77 + 29) / (-826 / (-6)) + (-6 - 5)", "solution_steps": ["Add: -77 + 29 = -48", "Divide: -826 / (-6) = 413/3", "Divide: -48 / (413/3) = -144/413", "Subtract: -6 - 5 = -11", "Add: -144/413 + (-11) = -4687/413"], "final_answer": "-4687/413", "answer_type": "rational", "kind": "expression", "math_text": "(-77 + 29) / (-826 / (-6)) + (-6 - 5)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ n n) (/ n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": 29, \"c\": -826, \"d\": -6, \"e\": -6, \"f\": 5}", "seed": "16654784823252498542", "semantic_fingerprint": "sha256:67befee5a90511cdf8fd3313eccc20edc1385c93835ce70afe92297ba69bb180", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003966", "prompt": "What value of x satisfies -10(x + 72) + 284 = 12(x + 1) - 47?", "solution_steps": ["Expand: -10x - 720 + 284 = 12(x + 1) - 47", "Expand: -10x - 720 + 284 = 12x + 12 - 47", "Combine constants: -10x - 436 = 12x + 12 - 47", "Combine constants: -10x - 436 = 12x - 35", "Subtract 12x from both sides: -22x - 436 = -35", "Add 436 to both sides: -22x = 401", "Divide both sides by -22: x = -401/22"], "final_answer": "-401/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 72) + 284 = 12(x + 1) - 47", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 72, \"c\": 284, \"d\": 12, \"e\": 1, \"f\": 47}", "seed": "4371569764613087600", "semantic_fingerprint": "sha256:79baf3443289766e4644b0a0e3bba17102a29f77243f39f86035b7efec03c5d4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003967", "prompt": "Solve for x: 5(x - 21) + 90 = 6(x + 5) - 30", "solution_steps": ["Expand: 5x - 105 + 90 = 6(x + 5) - 30", "Expand: 5x - 105 + 90 = 6x + 30 - 30", "Combine constants: 5x - 15 = 6x + 30 - 30", "Combine constants: 5x - 15 = 6x", "Subtract 6x from both sides: -x - 15 = 0", "Add 15 to both sides: -x = 15", "Divide both sides by -1: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 21) + 90 = 6(x + 5) - 30", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 21, \"c\": 90, \"d\": 6, \"e\": 5, \"f\": 30}", "seed": "5775256831593417221", "semantic_fingerprint": "sha256:a451ea03e3fb242f2adf82f28273c529bebdff235c95460a843a8c95a4daf9b4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003968", "prompt": "Evaluate: 39 + 5 - (9 + 0 * 861)", "solution_steps": ["Add: 39 + 5 = 44", "Multiply: 0 * 861 = 0", "Add: 9 + 0 = 9", "Subtract: 44 - 9 = 35"], "final_answer": "35", "answer_type": "integer", "kind": "expression", "math_text": "39 + 5 - (9 + 0 * 861)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 5, \"c\": 9, \"d\": 0, \"e\": 861}", "seed": "8951854651753168639", "semantic_fingerprint": "sha256:4ce46cb20c9bb866b971c7123a6e8199e3fe51c6987eb06ab1ab6945169ac160", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003969", "prompt": "What is (86 - 4) / (-72) - (4 - (-36))?", "solution_steps": ["Subtract: 86 - 4 = 82", "Divide: 82 / (-72) = -41/36", "Subtract: 4 - (-36) = 40", "Subtract: -41/36 - 40 = -1481/36"], "final_answer": "-1481/36", "answer_type": "rational", "kind": "expression", "math_text": "(86 - 4) / (-72) - (4 - (-36))", "variable": null, "family": "expression_4op", "shape": "(- (/ (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 4, \"c\": -72, \"d\": 4, \"e\": -36}", "seed": "15637944419012441737", "semantic_fingerprint": "sha256:c7a6ac924122e16f9daef83b0e99be79a41da5e78b53275d89845a44ccd3b36f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003970", "prompt": "Calculate: 60 - (-9) * (536 / (2 + (-81)))", "solution_steps": ["Add: 2 + (-81) = -79", "Divide: 536 / (-79) = -536/79", "Multiply: -9 * (-536/79) = 4824/79", "Subtract: 60 - 4824/79 = -84/79"], "final_answer": "-84/79", "answer_type": "rational", "kind": "expression", "math_text": "60 - (-9) * (536 / (2 + (-81)))", "variable": null, "family": "expression_4op", "shape": "(- n (* n (/ n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": -9, \"c\": 536, \"d\": 2, \"e\": -81}", "seed": "16912668753893684820", "semantic_fingerprint": "sha256:df15e78783b3bad4a7924dabb84f24590371d9b70bbf354eea09a3984311bf3f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003971", "prompt": "Solve for x: 10(x - 76) = -4x - 802", "solution_steps": ["Expand: 10x - 760 = -4x - 802", "Add 4x to both sides: 14x - 760 = -802", "Add 760 to both sides: 14x = -42", "Divide both sides by 14: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 76) = -4x - 802", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 76, \"c\": -4, \"e\": -802, \"x\": -3}", "seed": "16325647791668564101", "semantic_fingerprint": "sha256:58d79a177d835abcf726c8e70cc3b2e3bc53db91149b3db5f1d808da6dd7fa68", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003972", "prompt": "Compute: -8 + 4 - (-241) + (-24)", "solution_steps": ["Add: -8 + 4 = -4", "Subtract: -4 - (-241) = 237", "Add: 237 + (-24) = 213"], "final_answer": "213", "answer_type": "integer", "kind": "expression", "math_text": "-8 + 4 - (-241) + (-24)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 4, \"c\": -241, \"d\": -24}", "seed": "9680057109776604493", "semantic_fingerprint": "sha256:1dd8905c11026327496c230cdc54dfe84ab0cee347cda90298fbc0cfcf41522f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003973", "prompt": "Evaluate: -537 / 298 + (4 - 930 - 13)", "solution_steps": ["Divide: -537 / 298 = -537/298", "Subtract: 4 - 930 = -926", "Subtract: -926 - 13 = -939", "Add: -537/298 + (-939) = -280359/298"], "final_answer": "-280359/298", "answer_type": "rational", "kind": "expression", "math_text": "-537 / 298 + (4 - 930 - 13)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -537, \"b\": 298, \"c\": 4, \"d\": 930, \"e\": 13}", "seed": "15974570105479593588", "semantic_fingerprint": "sha256:f4d69a34a38678b459b435716c99627684e1bed8ad4c546de3bb707594be6d34", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003974", "prompt": "Compute: (-44 / (-279) - 305 - (-9)) / (-6 / (-1))", "solution_steps": ["Divide: -44 / (-279) = 44/279", "Subtract: 44/279 - 305 = -85051/279", "Subtract: -85051/279 - (-9) = -82540/279", "Divide: -6 / (-1) = 6", "Divide: (-82540/279) / 6 = -41270/837"], "final_answer": "-41270/837", "answer_type": "rational", "kind": "expression", "math_text": "(-44 / (-279) - 305 - (-9)) / (-6 / (-1))", "variable": null, "family": "expression_5op", "shape": "(/ (- (- (/ n n) n) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -279, \"c\": 305, \"d\": -9, \"e\": -6, \"f\": -1}", "seed": "8206736268928832473", "semantic_fingerprint": "sha256:532b9727f28e1760d82f1ac29737cbd9db48c3b63adbba953b858d15901e44dd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003975", "prompt": "Calculate: 4 - 619 + (-44) * (575 + (-616))", "solution_steps": ["Subtract: 4 - 619 = -615", "Add: 575 + (-616) = -41", "Multiply: -44 * (-41) = 1804", "Add: -615 + 1804 = 1189"], "final_answer": "1189", "answer_type": "integer", "kind": "expression", "math_text": "4 - 619 + (-44) * (575 + (-616))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 619, \"c\": -44, \"d\": 575, \"e\": -616}", "seed": "3660821066592067302", "semantic_fingerprint": "sha256:49fcaf159095319263bed5401bb41d854b7078e0ffd428e918870c5669ae34c7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003976", "prompt": "What is (-37 - (-224 - 96)) / (-970 + (-520))?", "solution_steps": ["Subtract: -224 - 96 = -320", "Subtract: -37 - (-320) = 283", "Add: -970 + (-520) = -1490", "Divide: 283 / (-1490) = -283/1490"], "final_answer": "-283/1490", "answer_type": "rational", "kind": "expression", "math_text": "(-37 - (-224 - 96)) / (-970 + (-520))", "variable": null, "family": "expression_4op", "shape": "(/ (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -224, \"c\": 96, \"d\": -970, \"e\": -520}", "seed": "8021041355959096391", "semantic_fingerprint": "sha256:e8827b5d52f32db50135f37c5f9b501e6881de85c7515a6cfaaf3e42e5df6247", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003977", "prompt": "What value of x satisfies 3x - 64 = -2(x + 352) + 700?", "solution_steps": ["Expand: 3x - 64 = -2x - 704 + 700", "Combine constants: 3x - 64 = -2x - 4", "Add 2x to both sides: 5x - 64 = -4", "Add 64 to both sides: 5x = 60", "Divide both sides by 5: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 64 = -2(x + 352) + 700", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 64, \"c\": -2, \"d\": 352, \"f\": 700, \"x\": 12}", "seed": "16190583109389571422", "semantic_fingerprint": "sha256:6070f44011906f71e9f696bbae2324d17713132c37918827699c76099a68606c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003978", "prompt": "Calculate: -4 * 781 / (-34 / (885 - 1))", "solution_steps": ["Multiply: -4 * 781 = -3124", "Subtract: 885 - 1 = 884", "Divide: -34 / 884 = -1/26", "Divide: -3124 / (-1/26) = 81224"], "final_answer": "81224", "answer_type": "integer", "kind": "expression", "math_text": "-4 * 781 / (-34 / (885 - 1))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 781, \"c\": -34, \"d\": 885, \"e\": 1}", "seed": "18121594082601230944", "semantic_fingerprint": "sha256:9a43fa55bf4e7ee2c363669c586ad2a7804ae2468acfc233869dda681b4c9596", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003979", "prompt": "Calculate: (-84 * (-9) - 62 - 338) / 65 + (-675)", "solution_steps": ["Multiply: -84 * (-9) = 756", "Subtract: 756 - 62 = 694", "Subtract: 694 - 338 = 356", "Divide: 356 / 65 = 356/65", "Add: 356/65 + (-675) = -43519/65"], "final_answer": "-43519/65", "answer_type": "rational", "kind": "expression", "math_text": "(-84 * (-9) - 62 - 338) / 65 + (-675)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (- (- (* n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": -9, \"c\": 62, \"d\": 338, \"e\": 65, \"f\": -675}", "seed": "15994809402268781868", "semantic_fingerprint": "sha256:6c11405e57b3769e5e055eb24078e54c7d17e1a6a381ffc3ac202b5b75509500", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003980", "prompt": "Solve the equation 4(x - 614) + 97 = 12x + 83 for x.", "solution_steps": ["Expand: 4x - 2456 + 97 = 12x + 83", "Combine constants: 4x - 2359 = 12x + 83", "Subtract 12x from both sides: -8x - 2359 = 83", "Add 2359 to both sides: -8x = 2442", "Divide both sides by -8: x = -1221/4"], "final_answer": "-1221/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 614) + 97 = 12x + 83", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 614, \"c\": 97, \"d\": 12, \"e\": 83}", "seed": "15386356404924876021", "semantic_fingerprint": "sha256:5efc78f01dd686d4e4c5fe9536d5e336b357d1afc9f9ddd6561041d3b98b0637", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003981", "prompt": "Solve for x: 5(x + 12) - 55 = x - 11", "solution_steps": ["Expand: 5x + 60 - 55 = x - 11", "Combine constants: 5x + 5 = x - 11", "Subtract x from both sides: 4x + 5 = -11", "Subtract 5 from both sides: 4x = -16", "Divide both sides by 4: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 12) - 55 = x - 11", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 12, \"c\": 55, \"e\": -11, \"x\": -4}", "seed": "11649993788344686373", "semantic_fingerprint": "sha256:033c0e559c7b1980c8f9cccacb8193f05b0e08f00650f3531758e7ca4fd57b06", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003982", "prompt": "What is (2 - (-20) + (37 + (-389))) * (-315 + 934)?", "solution_steps": ["Subtract: 2 - (-20) = 22", "Add: 37 + (-389) = -352", "Add: 22 + (-352) = -330", "Add: -315 + 934 = 619", "Multiply: -330 * 619 = -204270"], "final_answer": "-204270", "answer_type": "integer", "kind": "expression", "math_text": "(2 - (-20) + (37 + (-389))) * (-315 + 934)", "variable": null, "family": "expression_5op", "shape": "(* (+ (- n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -20, \"c\": 37, \"d\": -389, \"e\": -315, \"f\": 934}", "seed": "17419685592631400482", "semantic_fingerprint": "sha256:48ab2d05ff950d687a421e2ef43ac4dc87ed0f68b3e453449ec7a8b8dc6615fd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003983", "prompt": "Evaluate: (-599 + 86) * (69 - (-38 + (-1)) + 45)", "solution_steps": ["Add: -599 + 86 = -513", "Add: -38 + (-1) = -39", "Subtract: 69 - (-39) = 108", "Add: 108 + 45 = 153", "Multiply: -513 * 153 = -78489"], "final_answer": "-78489", "answer_type": "integer", "kind": "expression", "math_text": "(-599 + 86) * (69 - (-38 + (-1)) + 45)", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (+ (- n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -599, \"b\": 86, \"c\": 69, \"d\": -38, \"e\": -1, \"f\": 45}", "seed": "7387449194282488929", "semantic_fingerprint": "sha256:7e3460c84a19adef14c67dc601cd015a2f536dd0f13765d739fe8185a9b99003", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003984", "prompt": "Calculate: (82 + 95) / (51 / 60)", "solution_steps": ["Add: 82 + 95 = 177", "Divide: 51 / 60 = 17/20", "Divide: 177 / (17/20) = 3540/17"], "final_answer": "3540/17", "answer_type": "rational", "kind": "expression", "math_text": "(82 + 95) / (51 / 60)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 95, \"c\": 51, \"d\": 60}", "seed": "16755293549696496613", "semantic_fingerprint": "sha256:25ba6fbd6ccf2d1f342cb9f5e14ded1a3b637f6a32a5f36026b9c3fc871e1647", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003985", "prompt": "Solve for x: 9(x - 38) = -8x - 291", "solution_steps": ["Expand: 9x - 342 = -8x - 291", "Add 8x to both sides: 17x - 342 = -291", "Add 342 to both sides: 17x = 51", "Divide both sides by 17: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 38) = -8x - 291", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 38, \"c\": -8, \"e\": -291, \"x\": 3}", "seed": "7301034634875370571", "semantic_fingerprint": "sha256:c5e49c7adb2152d8f01c77aa47406f36301942ac3da35af6c3c15502b6d33457", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003986", "prompt": "Find x: x - 3 = 12(x - 56) + 537", "solution_steps": ["Expand: x - 3 = 12x - 672 + 537", "Combine constants: x - 3 = 12x - 135", "Subtract 12x from both sides: -11x - 3 = -135", "Add 3 to both sides: -11x = -132", "Divide both sides by -11: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3 = 12(x - 56) + 537", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 12, \"c\": 56, \"e\": 537, \"x\": 12}", "seed": "8805527860581475114", "semantic_fingerprint": "sha256:56420ec266180d2ec1f4933e7f1eb47a6725305bae28ea0f14b5907638bf8e7c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003987", "prompt": "What value of x satisfies x - 981 = -6(x - 6) + 859?", "solution_steps": ["Expand: x - 981 = -6x + 36 + 859", "Combine constants: x - 981 = -6x + 895", "Add 6x to both sides: 7x - 981 = 895", "Add 981 to both sides: 7x = 1876", "Divide both sides by 7: x = 268"], "final_answer": "268", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 981 = -6(x - 6) + 859", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 981, \"b\": -6, \"c\": 6, \"d\": 859}", "seed": "12167771840811953321", "semantic_fingerprint": "sha256:b1eca0a6be2f446706cbb273b4fedbbf87368a17bc9202655d53b029d626a042", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003988", "prompt": "What is (-337 + (-850)) / (134 * (-54 + 61)) * (-5)?", "solution_steps": ["Add: -337 + (-850) = -1187", "Add: -54 + 61 = 7", "Multiply: 134 * 7 = 938", "Divide: -1187 / 938 = -1187/938", "Multiply: (-1187/938) * (-5) = 5935/938"], "final_answer": "5935/938", "answer_type": "rational", "kind": "expression", "math_text": "(-337 + (-850)) / (134 * (-54 + 61)) * (-5)", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ n n) (* n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -337, \"b\": -850, \"c\": 134, \"d\": -54, \"e\": 61, \"f\": -5}", "seed": "12938257945407315769", "semantic_fingerprint": "sha256:02bb7a512bbb3e56e90932348185d9e6b184bbff14a3c9bd2c04a6d5d5a7a741", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003989", "prompt": "Calculate: -483 + (-535) - 738 + 525 + (-91 - (-173))", "solution_steps": ["Add: -483 + (-535) = -1018", "Subtract: -1018 - 738 = -1756", "Add: -1756 + 525 = -1231", "Subtract: -91 - (-173) = 82", "Add: -1231 + 82 = -1149"], "final_answer": "-1149", "answer_type": "integer", "kind": "expression", "math_text": "-483 + (-535) - 738 + 525 + (-91 - (-173))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- (+ n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -483, \"b\": -535, \"c\": 738, \"d\": 525, \"e\": -91, \"f\": -173}", "seed": "4313746349409276666", "semantic_fingerprint": "sha256:fe0ba3c36267a4842ebdcced074ea968db10f998334937c1fc319731e321ff99", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003990", "prompt": "What is -587 * (5 / 4 / 60)?", "solution_steps": ["Divide: 5 / 4 = 5/4", "Divide: (5/4) / 60 = 1/48", "Multiply: -587 * (1/48) = -587/48"], "final_answer": "-587/48", "answer_type": "rational", "kind": "expression", "math_text": "-587 * (5 / 4 / 60)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -587, \"b\": 5, \"c\": 4, \"d\": 60}", "seed": "10706404103030404570", "semantic_fingerprint": "sha256:8b556d027f0b264fd82c7f779c55fd1424cff9b69a7b7fde64413f0f74868d45", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003991", "prompt": "Calculate: 61 * (-2 - (-79)) + (-3 + 41) + (-6)", "solution_steps": ["Subtract: -2 - (-79) = 77", "Multiply: 61 * 77 = 4697", "Add: -3 + 41 = 38", "Add: 4697 + 38 = 4735", "Add: 4735 + (-6) = 4729"], "final_answer": "4729", "answer_type": "integer", "kind": "expression", "math_text": "61 * (-2 - (-79)) + (-3 + 41) + (-6)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* n (- n n)) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": -2, \"c\": -79, \"d\": -3, \"e\": 41, \"f\": -6}", "seed": "9858709488050438162", "semantic_fingerprint": "sha256:cd06132f43e4c9077b97d85eda20ae0f9b84a9acdc1dbd0a1b1758967953965d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003992", "prompt": "Compute: -15 - (-98) / (9 / 139)", "solution_steps": ["Divide: 9 / 139 = 9/139", "Divide: -98 / (9/139) = -13622/9", "Subtract: -15 - (-13622/9) = 13487/9"], "final_answer": "13487/9", "answer_type": "rational", "kind": "expression", "math_text": "-15 - (-98) / (9 / 139)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": -98, \"c\": 9, \"d\": 139}", "seed": "17964390568892029686", "semantic_fingerprint": "sha256:fdaa8db69d6999178f1c1f8f762800897d5b1678042d28c4fd118e613b85f084", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003993", "prompt": "Compute: 11 / (-6 * 88) / ((8 - (-76)) / (-68))", "solution_steps": ["Multiply: -6 * 88 = -528", "Divide: 11 / (-528) = -1/48", "Subtract: 8 - (-76) = 84", "Divide: 84 / (-68) = -21/17", "Divide: (-1/48) / (-21/17) = 17/1008"], "final_answer": "17/1008", "answer_type": "rational", "kind": "expression", "math_text": "11 / (-6 * 88) / ((8 - (-76)) / (-68))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n (* n n)) (/ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -6, \"c\": 88, \"d\": 8, \"e\": -76, \"f\": -68}", "seed": "11607564067037731862", "semantic_fingerprint": "sha256:d1540c9fad44204ca64cd6bf0a2ea0d5698abde910c512e24553f687a9af769a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003994", "prompt": "Solve the equation 12(x - 33) - 42 = 5(x - 53) - 7 for x.", "solution_steps": ["Expand: 12x - 396 - 42 = 5(x - 53) - 7", "Expand: 12x - 396 - 42 = 5x - 265 - 7", "Combine constants: 12x - 438 = 5x - 265 - 7", "Combine constants: 12x - 438 = 5x - 272", "Subtract 5x from both sides: 7x - 438 = -272", "Add 438 to both sides: 7x = 166", "Divide both sides by 7: x = 166/7"], "final_answer": "166/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 33) - 42 = 5(x - 53) - 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 33, \"c\": 42, \"d\": 5, \"e\": 53, \"f\": 7}", "seed": "7082699230757605927", "semantic_fingerprint": "sha256:53f8da382b397bb072de7c74983ae996dd2c39472fa1f9db4e8852545f4d84dc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003995", "prompt": "Calculate: -868 * 2 / (-5) / (-3)", "solution_steps": ["Multiply: -868 * 2 = -1736", "Divide: -1736 / (-5) = 1736/5", "Divide: (1736/5) / (-3) = -1736/15"], "final_answer": "-1736/15", "answer_type": "rational", "kind": "expression", "math_text": "-868 * 2 / (-5) / (-3)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -868, \"b\": 2, \"c\": -5, \"d\": -3}", "seed": "9253945016049776083", "semantic_fingerprint": "sha256:58c0497d86cc3e1b92d4d81966cfbdae40d5f62520b47519c3b3d7e39d1fe4d9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003996", "prompt": "Solve the equation 9(x - 10) + 816 = -11(x - 66) for x.", "solution_steps": ["Expand: 9x - 90 + 816 = -11(x - 66)", "Expand: 9x - 90 + 816 = -11x + 726", "Combine constants: 9x + 726 = -11x + 726", "Add 11x to both sides: 20x + 726 = 726", "Subtract 726 from both sides: 20x = 0", "Divide both sides by 20: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 10) + 816 = -11(x - 66)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 10, \"c\": -11, \"d\": 66, \"f\": 816, \"x\": 0}", "seed": "13331601531798414042", "semantic_fingerprint": "sha256:aca3d3e77bf5108c1ea9cc642107ca2eaeaf78afdec4b099c9e91cb2fb465322", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003997", "prompt": "Calculate: -838 * (-98) / 87 / (-10)", "solution_steps": ["Multiply: -838 * (-98) = 82124", "Divide: 82124 / 87 = 82124/87", "Divide: (82124/87) / (-10) = -41062/435"], "final_answer": "-41062/435", "answer_type": "rational", "kind": "expression", "math_text": "-838 * (-98) / 87 / (-10)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -838, \"b\": -98, \"c\": 87, \"d\": -10}", "seed": "11624432354793511269", "semantic_fingerprint": "sha256:56e3f56077128a1cbe7773cc5efa4f4f94721debb86bca493766647ab8aaf3bd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003998", "prompt": "Compute: -270 + 8 - (5 + (-6)) * (-53) - (-7)", "solution_steps": ["Add: -270 + 8 = -262", "Add: 5 + (-6) = -1", "Multiply: -1 * (-53) = 53", "Subtract: -262 - 53 = -315", "Subtract: -315 - (-7) = -308"], "final_answer": "-308", "answer_type": "integer", "kind": "expression", "math_text": "-270 + 8 - (5 + (-6)) * (-53) - (-7)", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n n) (* (+ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -270, \"b\": 8, \"c\": 5, \"d\": -6, \"e\": -53, \"f\": -7}", "seed": "10174059757068384137", "semantic_fingerprint": "sha256:92d89d8c85cbccdd51ec6bde3da64440a40a7a28265451c0c2b747ab5398ad84", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00003999", "prompt": "Calculate: 8 + (65 - (-879 - 260) * (-7))", "solution_steps": ["Subtract: -879 - 260 = -1139", "Multiply: -1139 * (-7) = 7973", "Subtract: 65 - 7973 = -7908", "Add: 8 + (-7908) = -7900"], "final_answer": "-7900", "answer_type": "integer", "kind": "expression", "math_text": "8 + (65 - (-879 - 260) * (-7))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (* (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 65, \"c\": -879, \"d\": 260, \"e\": -7}", "seed": "15431712103882182843", "semantic_fingerprint": "sha256:68e0dddd619c472e73342e48e0cf46ec7bab316324aa684512e80adef63c11ef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004000", "prompt": "What is 29 + 7 - (39 + 66)?", "solution_steps": ["Add: 29 + 7 = 36", "Add: 39 + 66 = 105", "Subtract: 36 - 105 = -69"], "final_answer": "-69", "answer_type": "integer", "kind": "expression", "math_text": "29 + 7 - (39 + 66)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 7, \"c\": 39, \"d\": 66}", "seed": "12182377938351679310", "semantic_fingerprint": "sha256:6731be9620bf9cbd18fec1ee4b32f7c91f3db9dcd36dfb621416f845b8f85bdd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004001", "prompt": "Evaluate: (722 - (-629) * 1 + (1 - 13)) * 6", "solution_steps": ["Multiply: -629 * 1 = -629", "Subtract: 722 - (-629) = 1351", "Subtract: 1 - 13 = -12", "Add: 1351 + (-12) = 1339", "Multiply: 1339 * 6 = 8034"], "final_answer": "8034", "answer_type": "integer", "kind": "expression", "math_text": "(722 - (-629) * 1 + (1 - 13)) * 6", "variable": null, "family": "expression_5op", "shape": "(* (+ (- n (* n n)) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 722, \"b\": -629, \"c\": 1, \"d\": 1, \"e\": 13, \"f\": 6}", "seed": "5099611469697447017", "semantic_fingerprint": "sha256:ee8e4be6bb8146b179d6b0af228172cb8c9c0036adfcbefc1fca66b1fbd2b070", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004002", "prompt": "What is -55 + 0 / (-1 - 43)?", "solution_steps": ["Subtract: -1 - 43 = -44", "Divide: 0 / (-44) = 0", "Add: -55 + 0 = -55"], "final_answer": "-55", "answer_type": "integer", "kind": "expression", "math_text": "-55 + 0 / (-1 - 43)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 0, \"c\": -1, \"d\": 43}", "seed": "13898515020919138338", "semantic_fingerprint": "sha256:4bccc2336d0ae2b56cb19721c4607aa6b8901752d85b1ef4cd6edc85cb96e774", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004003", "prompt": "Solve the equation 11(x - 40) - 9 = 6(x - 39) - 210 for x.", "solution_steps": ["Expand: 11x - 440 - 9 = 6(x - 39) - 210", "Expand: 11x - 440 - 9 = 6x - 234 - 210", "Combine constants: 11x - 449 = 6x - 234 - 210", "Combine constants: 11x - 449 = 6x - 444", "Subtract 6x from both sides: 5x - 449 = -444", "Add 449 to both sides: 5x = 5", "Divide both sides by 5: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 40) - 9 = 6(x - 39) - 210", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 40, \"c\": 9, \"d\": 6, \"e\": 39, \"g\": -210, \"x\": 1}", "seed": "8901180579775969623", "semantic_fingerprint": "sha256:c4c16366143dde2ab3c62ee0e15641c0cdb9858efa36da83b105d26f2436a4e8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004004", "prompt": "Calculate: -9 + (379 - 12) - (65 + 600 * 843)", "solution_steps": ["Subtract: 379 - 12 = 367", "Add: -9 + 367 = 358", "Multiply: 600 * 843 = 505800", "Add: 65 + 505800 = 505865", "Subtract: 358 - 505865 = -505507"], "final_answer": "-505507", "answer_type": "integer", "kind": "expression", "math_text": "-9 + (379 - 12) - (65 + 600 * 843)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (- n n)) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 379, \"c\": 12, \"d\": 65, \"e\": 600, \"f\": 843}", "seed": "13078167702398755895", "semantic_fingerprint": "sha256:a5bc0ed4b9b4d8fb2aeecf5377064d6cd856eec58b4f582e194517ea4022190b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004005", "prompt": "Calculate: 6 - (-799 + (-1 - 203))", "solution_steps": ["Subtract: -1 - 203 = -204", "Add: -799 + (-204) = -1003", "Subtract: 6 - (-1003) = 1009"], "final_answer": "1009", "answer_type": "integer", "kind": "expression", "math_text": "6 - (-799 + (-1 - 203))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -799, \"c\": -1, \"d\": 203}", "seed": "3268540526199689721", "semantic_fingerprint": "sha256:8f6a3050b84d0e91568aa56e8bd5c0128e900022e5dea127f4b05a123874bf89", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004006", "prompt": "Evaluate: 38 / (18 - (-84) - 162)", "solution_steps": ["Subtract: 18 - (-84) = 102", "Subtract: 102 - 162 = -60", "Divide: 38 / (-60) = -19/30"], "final_answer": "-19/30", "answer_type": "rational", "kind": "expression", "math_text": "38 / (18 - (-84) - 162)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 18, \"c\": -84, \"d\": 162}", "seed": "13979494619262712334", "semantic_fingerprint": "sha256:19552ed286a35dea9037257c50ea0fe603f38b456704ced91ad1d08f306c14fe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004007", "prompt": "Evaluate: (28 + 94 + (-74)) * 4", "solution_steps": ["Add: 28 + 94 = 122", "Add: 122 + (-74) = 48", "Multiply: 48 * 4 = 192"], "final_answer": "192", "answer_type": "integer", "kind": "expression", "math_text": "(28 + 94 + (-74)) * 4", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 94, \"c\": -74, \"d\": 4}", "seed": "6744841814092778868", "semantic_fingerprint": "sha256:f583262912ef9933170f6332f2f4e09e97a6884dac779a4a44eff58eece98861", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004008", "prompt": "What is 317 / (-56) + (8 - 175 - 316)?", "solution_steps": ["Divide: 317 / (-56) = -317/56", "Subtract: 8 - 175 = -167", "Subtract: -167 - 316 = -483", "Add: -317/56 + (-483) = -27365/56"], "final_answer": "-27365/56", "answer_type": "rational", "kind": "expression", "math_text": "317 / (-56) + (8 - 175 - 316)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 317, \"b\": -56, \"c\": 8, \"d\": 175, \"e\": 316}", "seed": "5254713687166535007", "semantic_fingerprint": "sha256:6bed55ef2289c317896d3fdc7e154c5d74336e631798c4e5481f68c82293bd23", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004009", "prompt": "Compute: -6 - (-72 - 92 - (-801)) - (-19)", "solution_steps": ["Subtract: -72 - 92 = -164", "Subtract: -164 - (-801) = 637", "Subtract: -6 - 637 = -643", "Subtract: -643 - (-19) = -624"], "final_answer": "-624", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (-72 - 92 - (-801)) - (-19)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -72, \"c\": 92, \"d\": -801, \"e\": -19}", "seed": "7209806777943908372", "semantic_fingerprint": "sha256:6fde0535cde0a9f8459de6989a881142adcab9a52158ff7ada675657a5c0f3b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004010", "prompt": "Solve for x: -4(x - 15) + 5 = 4(x + 54) - 46", "solution_steps": ["Expand: -4x + 60 + 5 = 4(x + 54) - 46", "Expand: -4x + 60 + 5 = 4x + 216 - 46", "Combine constants: -4x + 65 = 4x + 216 - 46", "Combine constants: -4x + 65 = 4x + 170", "Subtract 4x from both sides: -8x + 65 = 170", "Subtract 65 from both sides: -8x = 105", "Divide both sides by -8: x = -105/8"], "final_answer": "-105/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 15) + 5 = 4(x + 54) - 46", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 15, \"c\": 5, \"d\": 4, \"e\": 54, \"f\": 46}", "seed": "8456592223681540940", "semantic_fingerprint": "sha256:5266a833f6482716a5511da00b87876697de601cc43a9198549f594903f3da29", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004011", "prompt": "Calculate: (0 / 40 - 913 * (-67 * (-3))) * (-2)", "solution_steps": ["Divide: 0 / 40 = 0", "Multiply: -67 * (-3) = 201", "Multiply: 913 * 201 = 183513", "Subtract: 0 - 183513 = -183513", "Multiply: -183513 * (-2) = 367026"], "final_answer": "367026", "answer_type": "integer", "kind": "expression", "math_text": "(0 / 40 - 913 * (-67 * (-3))) * (-2)", "variable": null, "family": "expression_5op", "shape": "(* (- (/ n n) (* n (* n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 40, \"c\": 913, \"d\": -67, \"e\": -3, \"f\": -2}", "seed": "1310102922095504010", "semantic_fingerprint": "sha256:3b624a40e618beb642e7c003e9e1315b76206fb89fc3496ce2c3437f74fb9391", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004012", "prompt": "Solve the equation -3(x + 930) - 701 = x - 9 for x.", "solution_steps": ["Expand: -3x - 2790 - 701 = x - 9", "Combine constants: -3x - 3491 = x - 9", "Subtract x from both sides: -4x - 3491 = -9", "Add 3491 to both sides: -4x = 3482", "Divide both sides by -4: x = -1741/2"], "final_answer": "-1741/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x + 930) - 701 = x - 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 930, \"c\": 701, \"d\": 9}", "seed": "633394378931458679", "semantic_fingerprint": "sha256:a12dfacae20defe081e88cf1e6abaca5290e40d95feccf52e4605afa06006b1d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004013", "prompt": "Calculate: -4 * (-618) / (-420) / 5", "solution_steps": ["Multiply: -4 * (-618) = 2472", "Divide: 2472 / (-420) = -206/35", "Divide: (-206/35) / 5 = -206/175"], "final_answer": "-206/175", "answer_type": "rational", "kind": "expression", "math_text": "-4 * (-618) / (-420) / 5", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -618, \"c\": -420, \"d\": 5}", "seed": "1028763930046918466", "semantic_fingerprint": "sha256:de7fb19b387d64be8f02efdf7f480aab432346f6804058224e88f2458ec21f77", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004014", "prompt": "Calculate: 58 / (24 * (-53)) - (-704)", "solution_steps": ["Multiply: 24 * (-53) = -1272", "Divide: 58 / (-1272) = -29/636", "Subtract: -29/636 - (-704) = 447715/636"], "final_answer": "447715/636", "answer_type": "rational", "kind": "expression", "math_text": "58 / (24 * (-53)) - (-704)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 24, \"c\": -53, \"d\": -704}", "seed": "14183488176294150221", "semantic_fingerprint": "sha256:d2ed1ae612bca176100f23e887b3afde6880d0798a0aef2265d67dc19dc9b4ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004015", "prompt": "What is 536 * (-291 * 3) - 39?", "solution_steps": ["Multiply: -291 * 3 = -873", "Multiply: 536 * (-873) = -467928", "Subtract: -467928 - 39 = -467967"], "final_answer": "-467967", "answer_type": "integer", "kind": "expression", "math_text": "536 * (-291 * 3) - 39", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 536, \"b\": -291, \"c\": 3, \"d\": 39}", "seed": "4777308360590766086", "semantic_fingerprint": "sha256:29a8d6ed97d86f9f1063767777bab551dcc6f1373e675ef9d7418dab585351b8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004016", "prompt": "Evaluate: -77 * (-25 - 8 + 407)", "solution_steps": ["Subtract: -25 - 8 = -33", "Add: -33 + 407 = 374", "Multiply: -77 * 374 = -28798"], "final_answer": "-28798", "answer_type": "integer", "kind": "expression", "math_text": "-77 * (-25 - 8 + 407)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": -25, \"c\": 8, \"d\": 407}", "seed": "1679193733180060543", "semantic_fingerprint": "sha256:975ba57108459c05d4933c42928be7918fe4d63bad99e79a958a410d60c240d9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004017", "prompt": "What value of x satisfies x - 48 = 10(x - 59) + 1?", "solution_steps": ["Expand: x - 48 = 10x - 590 + 1", "Combine constants: x - 48 = 10x - 589", "Subtract 10x from both sides: -9x - 48 = -589", "Add 48 to both sides: -9x = -541", "Divide both sides by -9: x = 541/9"], "final_answer": "541/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 48 = 10(x - 59) + 1", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 10, \"c\": 59, \"d\": 1}", "seed": "1694565299912742650", "semantic_fingerprint": "sha256:4b133d79a5765ff708419955f0495c788eb39b60a214c5944dcbd204f9e9a985", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004018", "prompt": "Solve the equation -4(x - 39) + 22 = 6x + 7 for x.", "solution_steps": ["Expand: -4x + 156 + 22 = 6x + 7", "Combine constants: -4x + 178 = 6x + 7", "Subtract 6x from both sides: -10x + 178 = 7", "Subtract 178 from both sides: -10x = -171", "Divide both sides by -10: x = 171/10"], "final_answer": "171/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 39) + 22 = 6x + 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 39, \"c\": 22, \"d\": 6, \"e\": 7}", "seed": "2811241230751597183", "semantic_fingerprint": "sha256:64f6ab0c66404def778f6793771df17bb2c0e90aecaa4c1323a1c969bbe2f9b6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004019", "prompt": "What value of x satisfies 5(x + 248) - 953 = x - 80?", "solution_steps": ["Expand: 5x + 1240 - 953 = x - 80", "Combine constants: 5x + 287 = x - 80", "Subtract x from both sides: 4x + 287 = -80", "Subtract 287 from both sides: 4x = -367", "Divide both sides by 4: x = -367/4"], "final_answer": "-367/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 248) - 953 = x - 80", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 248, \"c\": 953, \"d\": 80}", "seed": "16236932147557844782", "semantic_fingerprint": "sha256:64e5dd01fd84117f94078d36f032b055f97e42d5c7dd34be4c27e7546a8ab629", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004020", "prompt": "What is -279 + (-85 + (-1) - (-33)) * (-2)?", "solution_steps": ["Add: -85 + (-1) = -86", "Subtract: -86 - (-33) = -53", "Multiply: -53 * (-2) = 106", "Add: -279 + 106 = -173"], "final_answer": "-173", "answer_type": "integer", "kind": "expression", "math_text": "-279 + (-85 + (-1) - (-33)) * (-2)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (- (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -279, \"b\": -85, \"c\": -1, \"d\": -33, \"e\": -2}", "seed": "15294062149107449058", "semantic_fingerprint": "sha256:e5967be5120d94b6c622da8a4b2f84cf4d1b184b6cf419d219ba9f1191b61ca0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004021", "prompt": "What value of x satisfies 4(x - 32) + 59 = 3(x + 3) - 65?", "solution_steps": ["Expand: 4x - 128 + 59 = 3(x + 3) - 65", "Expand: 4x - 128 + 59 = 3x + 9 - 65", "Combine constants: 4x - 69 = 3x + 9 - 65", "Combine constants: 4x - 69 = 3x - 56", "Subtract 3x from both sides: x - 69 = -56", "Add 69 to both sides: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 32) + 59 = 3(x + 3) - 65", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 32, \"c\": 59, \"d\": 3, \"e\": 3, \"g\": -65, \"x\": 13}", "seed": "14866129114729666419", "semantic_fingerprint": "sha256:b493bc854d1f58380cca6843e17b1459f0f57824b94799a188ff159eb22c1e33", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004022", "prompt": "Evaluate: 31 * (-2) / (1 + (-225)) / 3", "solution_steps": ["Multiply: 31 * (-2) = -62", "Add: 1 + (-225) = -224", "Divide: -62 / (-224) = 31/112", "Divide: (31/112) / 3 = 31/336"], "final_answer": "31/336", "answer_type": "rational", "kind": "expression", "math_text": "31 * (-2) / (1 + (-225)) / 3", "variable": null, "family": "expression_4op", "shape": "(/ (/ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": -2, \"c\": 1, \"d\": -225, \"e\": 3}", "seed": "17094989717055920269", "semantic_fingerprint": "sha256:8224ac937d783c533aac8cb82208cfd39989c5ca106e1104d61ed78ef256ea75", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004023", "prompt": "Solve for x: 11(x - 27) + 568 = -5(x - 3)", "solution_steps": ["Expand: 11x - 297 + 568 = -5(x - 3)", "Expand: 11x - 297 + 568 = -5x + 15", "Combine constants: 11x + 271 = -5x + 15", "Add 5x to both sides: 16x + 271 = 15", "Subtract 271 from both sides: 16x = -256", "Divide both sides by 16: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 27) + 568 = -5(x - 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 27, \"c\": -5, \"d\": 3, \"f\": 568, \"x\": -16}", "seed": "10603798764339505347", "semantic_fingerprint": "sha256:f90e02e64a653dd5734f1e0002030970335dcb5969d9f25a23ef7db949e688d8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004024", "prompt": "Calculate: (-281 - 92 / (-19)) / (-2)", "solution_steps": ["Divide: 92 / (-19) = -92/19", "Subtract: -281 - (-92/19) = -5247/19", "Divide: (-5247/19) / (-2) = 5247/38"], "final_answer": "5247/38", "answer_type": "rational", "kind": "expression", "math_text": "(-281 - 92 / (-19)) / (-2)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -281, \"b\": 92, \"c\": -19, \"d\": -2}", "seed": "11663223573570909801", "semantic_fingerprint": "sha256:5863bd04b5857144f88d5bf2076a96f82014ba15f6486f379035ac1718475f6e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004025", "prompt": "What value of x satisfies 6(x - 92) - 5 = -6(x - 4)?", "solution_steps": ["Expand: 6x - 552 - 5 = -6(x - 4)", "Expand: 6x - 552 - 5 = -6x + 24", "Combine constants: 6x - 557 = -6x + 24", "Add 6x to both sides: 12x - 557 = 24", "Add 557 to both sides: 12x = 581", "Divide both sides by 12: x = 581/12"], "final_answer": "581/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 92) - 5 = -6(x - 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 92, \"c\": 5, \"d\": -6, \"e\": 4}", "seed": "7404842660494352254", "semantic_fingerprint": "sha256:09d7e72ee13eb078641b3d19130e79e3fdc5aaf9123824428e485850c62c8f8a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004026", "prompt": "Solve the equation -2(x + 121) - 395 = x - 652 for x.", "solution_steps": ["Expand: -2x - 242 - 395 = x - 652", "Combine constants: -2x - 637 = x - 652", "Subtract x from both sides: -3x - 637 = -652", "Add 637 to both sides: -3x = -15", "Divide both sides by -3: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 121) - 395 = x - 652", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 121, \"c\": 395, \"e\": -652, \"x\": 5}", "seed": "13864080862439731793", "semantic_fingerprint": "sha256:42a07f96e209654f26b56ed4b4703d6596e7ec98b49faeb3303c8ff2f814d516", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004027", "prompt": "What value of x satisfies 8(x - 8) = 12x - 64?", "solution_steps": ["Expand: 8x - 64 = 12x - 64", "Subtract 12x from both sides: -4x - 64 = -64", "Add 64 to both sides: -4x = 0", "Divide both sides by -4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 8) = 12x - 64", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": 12, \"e\": -64, \"x\": 0}", "seed": "8302747439562028437", "semantic_fingerprint": "sha256:5b2341125456c47f3babe33a7dd7644c49abee1818c58c654bf36fb35fc037e1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004028", "prompt": "Find x: 2(x - 4) + 8 = 9x + 640", "solution_steps": ["Expand: 2x - 8 + 8 = 9x + 640", "Combine constants: 2x = 9x + 640", "Subtract 9x from both sides: -7x = 640", "Divide both sides by -7: x = -640/7"], "final_answer": "-640/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 4) + 8 = 9x + 640", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": 8, \"d\": 9, \"e\": 640}", "seed": "16801033258952931583", "semantic_fingerprint": "sha256:671c998ea53b643dc5f3aeaeb29f47a0ed08fa44f4fa1e1f94e15a6dfd6d84a7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004029", "prompt": "Calculate: 76 / (-294 * (-15) / (-943))", "solution_steps": ["Multiply: -294 * (-15) = 4410", "Divide: 4410 / (-943) = -4410/943", "Divide: 76 / (-4410/943) = -35834/2205"], "final_answer": "-35834/2205", "answer_type": "rational", "kind": "expression", "math_text": "76 / (-294 * (-15) / (-943))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": -294, \"c\": -15, \"d\": -943}", "seed": "8212999635288233756", "semantic_fingerprint": "sha256:797d2152dae173e7c274cc78e0a311badd0e95cd19e22fd8ec8c60524e95c080", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004030", "prompt": "What value of x satisfies 3(x + 2) - 562 = x - 516?", "solution_steps": ["Expand: 3x + 6 - 562 = x - 516", "Combine constants: 3x - 556 = x - 516", "Subtract x from both sides: 2x - 556 = -516", "Add 556 to both sides: 2x = 40", "Divide both sides by 2: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 2) - 562 = x - 516", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 562, \"e\": -516, \"x\": 20}", "seed": "8390602948835123477", "semantic_fingerprint": "sha256:e5fc581c44068b56a0a689c99b666bf7872178535a314ebbfd57b295ddbc6909", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004031", "prompt": "What is 35 * 25 + (9 + (-1) / (-25))?", "solution_steps": ["Multiply: 35 * 25 = 875", "Divide: -1 / (-25) = 1/25", "Add: 9 + 1/25 = 226/25", "Add: 875 + 226/25 = 22101/25"], "final_answer": "22101/25", "answer_type": "rational", "kind": "expression", "math_text": "35 * 25 + (9 + (-1) / (-25))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 25, \"c\": 9, \"d\": -1, \"e\": -25}", "seed": "18045212495466638721", "semantic_fingerprint": "sha256:ec122c25b0f2bc8cc29e012dfd008be6a8af9c4b917411f276a7ae9021f4a3d5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004032", "prompt": "Solve for x: -3(x - 2) - 724 = -8(x - 8)", "solution_steps": ["Expand: -3x + 6 - 724 = -8(x - 8)", "Expand: -3x + 6 - 724 = -8x + 64", "Combine constants: -3x - 718 = -8x + 64", "Add 8x to both sides: 5x - 718 = 64", "Add 718 to both sides: 5x = 782", "Divide both sides by 5: x = 782/5"], "final_answer": "782/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 2) - 724 = -8(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 2, \"c\": 724, \"d\": -8, \"e\": 8}", "seed": "8436073789304513803", "semantic_fingerprint": "sha256:c343ba8730df4617c7e8fa3afe055b6822d0671c2d3cc9b9ec3e3aee9ca2c5a1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004033", "prompt": "Compute: 731 + (-86 * (-3) - (-7))", "solution_steps": ["Multiply: -86 * (-3) = 258", "Subtract: 258 - (-7) = 265", "Add: 731 + 265 = 996"], "final_answer": "996", "answer_type": "integer", "kind": "expression", "math_text": "731 + (-86 * (-3) - (-7))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 731, \"b\": -86, \"c\": -3, \"d\": -7}", "seed": "3824880549022735811", "semantic_fingerprint": "sha256:d727458ea2ac850087fc5a0f9955d45180485f729cc3e6916a22963f724bc15a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004034", "prompt": "Calculate: (-321 - 519) / (-9 * (-21))", "solution_steps": ["Subtract: -321 - 519 = -840", "Multiply: -9 * (-21) = 189", "Divide: -840 / 189 = -40/9"], "final_answer": "-40/9", "answer_type": "rational", "kind": "expression", "math_text": "(-321 - 519) / (-9 * (-21))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -321, \"b\": 519, \"c\": -9, \"d\": -21}", "seed": "5930109685887480028", "semantic_fingerprint": "sha256:aff04715cc7e9820599db0754b15622389c600659da1358d5c1097dcaecc2eeb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004035", "prompt": "Find x: -7(x + 34) - 8 = x - 102", "solution_steps": ["Expand: -7x - 238 - 8 = x - 102", "Combine constants: -7x - 246 = x - 102", "Subtract x from both sides: -8x - 246 = -102", "Add 246 to both sides: -8x = 144", "Divide both sides by -8: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 34) - 8 = x - 102", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 34, \"c\": 8, \"e\": -102, \"x\": -18}", "seed": "11837923865466123308", "semantic_fingerprint": "sha256:a844ff8355a0464a2f3b8f1a7e1e3d0fc3b723f4deb2d673709d05f2b37c901f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004036", "prompt": "Calculate: 6 - (-205 / (-3) * 4 - (-4))", "solution_steps": ["Divide: -205 / (-3) = 205/3", "Multiply: (205/3) * 4 = 820/3", "Subtract: 820/3 - (-4) = 832/3", "Subtract: 6 - 832/3 = -814/3"], "final_answer": "-814/3", "answer_type": "rational", "kind": "expression", "math_text": "6 - (-205 / (-3) * 4 - (-4))", "variable": null, "family": "expression_4op", "shape": "(- n (- (* (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -205, \"c\": -3, \"d\": 4, \"e\": -4}", "seed": "5922472444928655071", "semantic_fingerprint": "sha256:8ce922a50ad47f359f5a6ac9034c997070a39162c3c7e36ae5a097a87a10af88", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004037", "prompt": "Compute: -2 - (60 - (9 - (-12)))", "solution_steps": ["Subtract: 9 - (-12) = 21", "Subtract: 60 - 21 = 39", "Subtract: -2 - 39 = -41"], "final_answer": "-41", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (60 - (9 - (-12)))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 60, \"c\": 9, \"d\": -12}", "seed": "8135417807422605104", "semantic_fingerprint": "sha256:8963eaf1c60c98361fda172616270147968a007dd2525479ac60a057952ad723", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004038", "prompt": "Evaluate: 211 + (-17) - (-694 + 77 * 186)", "solution_steps": ["Add: 211 + (-17) = 194", "Multiply: 77 * 186 = 14322", "Add: -694 + 14322 = 13628", "Subtract: 194 - 13628 = -13434"], "final_answer": "-13434", "answer_type": "integer", "kind": "expression", "math_text": "211 + (-17) - (-694 + 77 * 186)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 211, \"b\": -17, \"c\": -694, \"d\": 77, \"e\": 186}", "seed": "16137934634169545979", "semantic_fingerprint": "sha256:d6085f6f2828a568b5d26f36be4bd314d173f3fa55f8356e32f14155fa3d2a03", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004039", "prompt": "Find x: 4x - 20 = 12(x + 2) + 92", "solution_steps": ["Expand: 4x - 20 = 12x + 24 + 92", "Combine constants: 4x - 20 = 12x + 116", "Subtract 12x from both sides: -8x - 20 = 116", "Add 20 to both sides: -8x = 136", "Divide both sides by -8: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 20 = 12(x + 2) + 92", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 20, \"c\": 12, \"d\": 2, \"f\": 92, \"x\": -17}", "seed": "4242737480501237696", "semantic_fingerprint": "sha256:875e05acd9c719795637b5695dbb649e2653e7296c68f12af63e6c37f8d56d32", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004040", "prompt": "Find x: 8(x - 90) = 4x - 784", "solution_steps": ["Expand: 8x - 720 = 4x - 784", "Subtract 4x from both sides: 4x - 720 = -784", "Add 720 to both sides: 4x = -64", "Divide both sides by 4: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 90) = 4x - 784", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 90, \"c\": 4, \"e\": -784, \"x\": -16}", "seed": "4830923966363258291", "semantic_fingerprint": "sha256:78a291516a77a30c0e95dfd52bc9d3b3b24ed23c97967354509a175165db4c55", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004041", "prompt": "What value of x satisfies x - 494 = 4(x - 414) + 93?", "solution_steps": ["Expand: x - 494 = 4x - 1656 + 93", "Combine constants: x - 494 = 4x - 1563", "Subtract 4x from both sides: -3x - 494 = -1563", "Add 494 to both sides: -3x = -1069", "Divide both sides by -3: x = 1069/3"], "final_answer": "1069/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 494 = 4(x - 414) + 93", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 494, \"b\": 4, \"c\": 414, \"d\": 93}", "seed": "12828222090057518081", "semantic_fingerprint": "sha256:93b63cab3f4d48a84122a3da72c48b46d7d33e7fb09716c4ff71243b1430ee63", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004042", "prompt": "What is (-75 - 3) * (45 / 32)?", "solution_steps": ["Subtract: -75 - 3 = -78", "Divide: 45 / 32 = 45/32", "Multiply: -78 * (45/32) = -1755/16"], "final_answer": "-1755/16", "answer_type": "rational", "kind": "expression", "math_text": "(-75 - 3) * (45 / 32)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 3, \"c\": 45, \"d\": 32}", "seed": "10022160080052985120", "semantic_fingerprint": "sha256:ac4424b76515133dd94cf427d81f97982a0ba124275692414d4dc25c81da99de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004043", "prompt": "Calculate: (-5 - 6 / 8) / (88 + 7 + 60)", "solution_steps": ["Divide: 6 / 8 = 3/4", "Subtract: -5 - 3/4 = -23/4", "Add: 88 + 7 = 95", "Add: 95 + 60 = 155", "Divide: (-23/4) / 155 = -23/620"], "final_answer": "-23/620", "answer_type": "rational", "kind": "expression", "math_text": "(-5 - 6 / 8) / (88 + 7 + 60)", "variable": null, "family": "expression_5op", "shape": "(/ (- n (/ n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 6, \"c\": 8, \"d\": 88, \"e\": 7, \"f\": 60}", "seed": "2704524899522739587", "semantic_fingerprint": "sha256:94a414d4c1737ed68bf2d5721dd6ac7385cf156f31b4dffc7d764deda3218843", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004044", "prompt": "Compute: 888 / ((-278 - 967) / (-17)) - 29", "solution_steps": ["Subtract: -278 - 967 = -1245", "Divide: -1245 / (-17) = 1245/17", "Divide: 888 / (1245/17) = 5032/415", "Subtract: 5032/415 - 29 = -7003/415"], "final_answer": "-7003/415", "answer_type": "rational", "kind": "expression", "math_text": "888 / ((-278 - 967) / (-17)) - 29", "variable": null, "family": "expression_4op", "shape": "(- (/ n (/ (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 888, \"b\": -278, \"c\": 967, \"d\": -17, \"e\": 29}", "seed": "14120947593104547762", "semantic_fingerprint": "sha256:293c7d5ac922b747aeb887816c8e9f2334a29dfe7cec0a999266b9a448a0aa97", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004045", "prompt": "Calculate: (-62 - (-732)) / (-9 + 52) + (-85) / 98", "solution_steps": ["Subtract: -62 - (-732) = 670", "Add: -9 + 52 = 43", "Divide: 670 / 43 = 670/43", "Divide: -85 / 98 = -85/98", "Add: 670/43 + (-85/98) = 62005/4214"], "final_answer": "62005/4214", "answer_type": "rational", "kind": "expression", "math_text": "(-62 - (-732)) / (-9 + 52) + (-85) / 98", "variable": null, "family": "expression_5op", "shape": "(+ (/ (- n n) (+ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -732, \"c\": -9, \"d\": 52, \"e\": -85, \"f\": 98}", "seed": "12055253759296343177", "semantic_fingerprint": "sha256:0bc40c631123b61f3897555560e71895cc2db4f3c01245f48ed54d13c450698e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004046", "prompt": "Calculate: 1 / 549 + (-46) / 9", "solution_steps": ["Divide: 1 / 549 = 1/549", "Divide: -46 / 9 = -46/9", "Add: 1/549 + (-46/9) = -935/183"], "final_answer": "-935/183", "answer_type": "rational", "kind": "expression", "math_text": "1 / 549 + (-46) / 9", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 549, \"c\": -46, \"d\": 9}", "seed": "5552940549450216976", "semantic_fingerprint": "sha256:aa8d4c1d94dce5dbe9a128e0fdf806c1830b2c73c3dce083c2a9e025852b03ec", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004047", "prompt": "Calculate: (51 * 70 + 2 / 3) * (-71)", "solution_steps": ["Multiply: 51 * 70 = 3570", "Divide: 2 / 3 = 2/3", "Add: 3570 + 2/3 = 10712/3", "Multiply: (10712/3) * (-71) = -760552/3"], "final_answer": "-760552/3", "answer_type": "rational", "kind": "expression", "math_text": "(51 * 70 + 2 / 3) * (-71)", "variable": null, "family": "expression_4op", "shape": "(* (+ (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 70, \"c\": 2, \"d\": 3, \"e\": -71}", "seed": "17018102828577254002", "semantic_fingerprint": "sha256:97ee2f3dd973a4f02edb7576fb542ec6cfdfb1c1fec12392232a7e5bebd434cd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004048", "prompt": "Calculate: 0 + (-4) - (-996 + (-51))", "solution_steps": ["Add: 0 + (-4) = -4", "Add: -996 + (-51) = -1047", "Subtract: -4 - (-1047) = 1043"], "final_answer": "1043", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-4) - (-996 + (-51))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -4, \"c\": -996, \"d\": -51}", "seed": "4470751748470996962", "semantic_fingerprint": "sha256:dd8cbf4f7929c5c7b3203b8d876ba061b61ae6cbef365957438a06542a0e5248", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004049", "prompt": "Find x: 11(x - 1) = 8x - 2", "solution_steps": ["Expand: 11x - 11 = 8x - 2", "Subtract 8x from both sides: 3x - 11 = -2", "Add 11 to both sides: 3x = 9", "Divide both sides by 3: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 1) = 8x - 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 1, \"c\": 8, \"d\": 2}", "seed": "1351875786831156211", "semantic_fingerprint": "sha256:885114eeb74309d9875a2c399398aef4cbdeac0df41e95a6660a452657c9d8dc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004050", "prompt": "Evaluate: 45 * (-99 + 0 + (-122)) + 9", "solution_steps": ["Add: -99 + 0 = -99", "Add: -99 + (-122) = -221", "Multiply: 45 * (-221) = -9945", "Add: -9945 + 9 = -9936"], "final_answer": "-9936", "answer_type": "integer", "kind": "expression", "math_text": "45 * (-99 + 0 + (-122)) + 9", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": -99, \"c\": 0, \"d\": -122, \"e\": 9}", "seed": "6243864864577130168", "semantic_fingerprint": "sha256:a74e6cca61f79083daf75985cf89799c67b0b40372c567b6522c263e8f634712", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004051", "prompt": "What is -8 / (40 / (-60 * (-2)))?", "solution_steps": ["Multiply: -60 * (-2) = 120", "Divide: 40 / 120 = 1/3", "Divide: -8 / (1/3) = -24"], "final_answer": "-24", "answer_type": "integer", "kind": "expression", "math_text": "-8 / (40 / (-60 * (-2)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 40, \"c\": -60, \"d\": -2}", "seed": "5115184367671287373", "semantic_fingerprint": "sha256:14e15cdc097c6bc385070a6989634cadc2ead2a438edaaeddd447a0881cf7268", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004052", "prompt": "Solve the equation 9(x + 56) - 815 = x - 191 for x.", "solution_steps": ["Expand: 9x + 504 - 815 = x - 191", "Combine constants: 9x - 311 = x - 191", "Subtract x from both sides: 8x - 311 = -191", "Add 311 to both sides: 8x = 120", "Divide both sides by 8: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 56) - 815 = x - 191", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 56, \"c\": 815, \"e\": -191, \"x\": 15}", "seed": "7836051541910764995", "semantic_fingerprint": "sha256:590a52e6906fb058a8ca9225ca032f76cd5332884c2abc50cb7a3579de840891", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004053", "prompt": "What is 33 * (457 - 989 + 523 + 9)?", "solution_steps": ["Subtract: 457 - 989 = -532", "Add: -532 + 523 = -9", "Add: -9 + 9 = 0", "Multiply: 33 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "33 * (457 - 989 + 523 + 9)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (+ (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 457, \"c\": 989, \"d\": 523, \"e\": 9}", "seed": "4232920173861235116", "semantic_fingerprint": "sha256:e4d8ee1bb74b77edcdd6f26a3dfd5539a4dceda9d7a2da42fec96aee711d6966", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004054", "prompt": "Solve for x: x - 1 = 7(x - 8) + 175", "solution_steps": ["Expand: x - 1 = 7x - 56 + 175", "Combine constants: x - 1 = 7x + 119", "Subtract 7x from both sides: -6x - 1 = 119", "Add 1 to both sides: -6x = 120", "Divide both sides by -6: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1 = 7(x - 8) + 175", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 7, \"c\": 8, \"e\": 175, \"x\": -20}", "seed": "6149631865190217909", "semantic_fingerprint": "sha256:d8e0399f6ef772c0f1af29eee7bba156bc1637252d13724beaaa01e6814d43a3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004055", "prompt": "Evaluate: 26 + 73 / (-42 / 445) * 98 + (-337)", "solution_steps": ["Divide: -42 / 445 = -42/445", "Divide: 73 / (-42/445) = -32485/42", "Multiply: (-32485/42) * 98 = -227395/3", "Add: 26 + (-227395/3) = -227317/3", "Add: -227317/3 + (-337) = -228328/3"], "final_answer": "-228328/3", "answer_type": "rational", "kind": "expression", "math_text": "26 + 73 / (-42 / 445) * 98 + (-337)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (* (/ n (/ n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": 73, \"c\": -42, \"d\": 445, \"e\": 98, \"f\": -337}", "seed": "6878841028891747073", "semantic_fingerprint": "sha256:e96ec73180e90b7500298c274df72efa523369e5f7aaff2b6f43a693f23d0910", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004056", "prompt": "Calculate: (-174 - 971) * (-7 / (-242) / (-8))", "solution_steps": ["Subtract: -174 - 971 = -1145", "Divide: -7 / (-242) = 7/242", "Divide: (7/242) / (-8) = -7/1936", "Multiply: -1145 * (-7/1936) = 8015/1936"], "final_answer": "8015/1936", "answer_type": "rational", "kind": "expression", "math_text": "(-174 - 971) * (-7 / (-242) / (-8))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -174, \"b\": 971, \"c\": -7, \"d\": -242, \"e\": -8}", "seed": "11673322276033438074", "semantic_fingerprint": "sha256:0d0116323ed4ebaac0674e1ab3c6e25329c9236f604210508a7f0b163e3a69e1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004057", "prompt": "What value of x satisfies 12(x - 5) + 71 = 5(x - 2)?", "solution_steps": ["Expand: 12x - 60 + 71 = 5(x - 2)", "Expand: 12x - 60 + 71 = 5x - 10", "Combine constants: 12x + 11 = 5x - 10", "Subtract 5x from both sides: 7x + 11 = -10", "Subtract 11 from both sides: 7x = -21", "Divide both sides by 7: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 5) + 71 = 5(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 5, \"d\": 2, \"f\": 71, \"x\": -3}", "seed": "4149539862958787273", "semantic_fingerprint": "sha256:d16b004d16a3f6fbcb5402e3e100c727f2e3430bf93f570a243bd7e5b62dd5c5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004058", "prompt": "What value of x satisfies 10(x + 72) + 99 = 11(x + 75) - 5?", "solution_steps": ["Expand: 10x + 720 + 99 = 11(x + 75) - 5", "Expand: 10x + 720 + 99 = 11x + 825 - 5", "Combine constants: 10x + 819 = 11x + 825 - 5", "Combine constants: 10x + 819 = 11x + 820", "Subtract 11x from both sides: -x + 819 = 820", "Subtract 819 from both sides: -x = 1", "Divide both sides by -1: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 72) + 99 = 11(x + 75) - 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 72, \"c\": 99, \"d\": 11, \"e\": 75, \"g\": -5, \"x\": -1}", "seed": "17947776482628024208", "semantic_fingerprint": "sha256:7baa102477b76c8c31be72e35a92cbeb766886241f87226bff2fd9cdae8d8f09", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004059", "prompt": "Evaluate: -37 * 67 + (-12) * (-949) / (-1)", "solution_steps": ["Multiply: -37 * 67 = -2479", "Multiply: -12 * (-949) = 11388", "Divide: 11388 / (-1) = -11388", "Add: -2479 + (-11388) = -13867"], "final_answer": "-13867", "answer_type": "integer", "kind": "expression", "math_text": "-37 * 67 + (-12) * (-949) / (-1)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": 67, \"c\": -12, \"d\": -949, \"e\": -1}", "seed": "6623080055733750716", "semantic_fingerprint": "sha256:ed186bb4bc573169124143c0e230494aafec9aa4232187d7ebe3ae5d8bc56cd8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004060", "prompt": "Solve for x: 3(x - 4) = 12x - 174", "solution_steps": ["Expand: 3x - 12 = 12x - 174", "Subtract 12x from both sides: -9x - 12 = -174", "Add 12 to both sides: -9x = -162", "Divide both sides by -9: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 4) = 12x - 174", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"c\": 12, \"e\": -174, \"x\": 18}", "seed": "8542717311105304032", "semantic_fingerprint": "sha256:f83c21c4ed9ddea0f1ff6e1e6ccc285c75f4ba7fd5e1735c8ff0404e610bc20b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004061", "prompt": "What is (81 + 600 * (-15)) / (0 + 326) * (-7)?", "solution_steps": ["Multiply: 600 * (-15) = -9000", "Add: 81 + (-9000) = -8919", "Add: 0 + 326 = 326", "Divide: -8919 / 326 = -8919/326", "Multiply: (-8919/326) * (-7) = 62433/326"], "final_answer": "62433/326", "answer_type": "rational", "kind": "expression", "math_text": "(81 + 600 * (-15)) / (0 + 326) * (-7)", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ n (* n n)) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 600, \"c\": -15, \"d\": 0, \"e\": 326, \"f\": -7}", "seed": "740731517285205213", "semantic_fingerprint": "sha256:b6aa9c1bc283a4bb0b436d0ce57d6b72301a0879d64b5d0e644d3571759e5a27", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004062", "prompt": "Calculate: 10 * 0 / (0 + (-68))", "solution_steps": ["Multiply: 10 * 0 = 0", "Add: 0 + (-68) = -68", "Divide: 0 / (-68) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "10 * 0 / (0 + (-68))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 0, \"c\": 0, \"d\": -68}", "seed": "6722992018349229801", "semantic_fingerprint": "sha256:5a17ccc84a28f0b354afe973f87d95ccffddbb8c373ebd9045867e90427994e7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004063", "prompt": "What is 74 / (39 + (-36) - (-61) / (-57))?", "solution_steps": ["Add: 39 + (-36) = 3", "Divide: -61 / (-57) = 61/57", "Subtract: 3 - 61/57 = 110/57", "Divide: 74 / (110/57) = 2109/55"], "final_answer": "2109/55", "answer_type": "rational", "kind": "expression", "math_text": "74 / (39 + (-36) - (-61) / (-57))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (+ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": 39, \"c\": -36, \"d\": -61, \"e\": -57}", "seed": "9189427655403655759", "semantic_fingerprint": "sha256:4f70e7b4382c9592e4416f614538f646b4ee24c80b4fdea828789d8a3de060ef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004064", "prompt": "Solve the equation 3(x - 80) + 3 = 7(x + 34) - 555 for x.", "solution_steps": ["Expand: 3x - 240 + 3 = 7(x + 34) - 555", "Expand: 3x - 240 + 3 = 7x + 238 - 555", "Combine constants: 3x - 237 = 7x + 238 - 555", "Combine constants: 3x - 237 = 7x - 317", "Subtract 7x from both sides: -4x - 237 = -317", "Add 237 to both sides: -4x = -80", "Divide both sides by -4: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 80) + 3 = 7(x + 34) - 555", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 80, \"c\": 3, \"d\": 7, \"e\": 34, \"g\": -555, \"x\": 20}", "seed": "11205100887267565895", "semantic_fingerprint": "sha256:a470cde19bb0353d4a16a09064d025c103c24ae6d31fae3aebffe7738c0b1776", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004065", "prompt": "What value of x satisfies 7x - 985 = -9(x + 41) + 718?", "solution_steps": ["Expand: 7x - 985 = -9x - 369 + 718", "Combine constants: 7x - 985 = -9x + 349", "Add 9x to both sides: 16x - 985 = 349", "Add 985 to both sides: 16x = 1334", "Divide both sides by 16: x = 667/8"], "final_answer": "667/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x - 985 = -9(x + 41) + 718", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 985, \"c\": -9, \"d\": 41, \"e\": 718}", "seed": "8544015880265619443", "semantic_fingerprint": "sha256:94738ba3d6904455edb5aec0cc0a78609f43b67f787a1981ed41a41017e22d98", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004066", "prompt": "Compute: 37 * 5 / (0 + (-976))", "solution_steps": ["Multiply: 37 * 5 = 185", "Add: 0 + (-976) = -976", "Divide: 185 / (-976) = -185/976"], "final_answer": "-185/976", "answer_type": "rational", "kind": "expression", "math_text": "37 * 5 / (0 + (-976))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": 5, \"c\": 0, \"d\": -976}", "seed": "2704796782353938612", "semantic_fingerprint": "sha256:0f953ec4bb0274942609b2ed05d0e4b286eafe0212f281744964d3dfff7b0f2f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004067", "prompt": "Solve for x: 7(x - 38) - 634 = 11(x - 88)", "solution_steps": ["Expand: 7x - 266 - 634 = 11(x - 88)", "Expand: 7x - 266 - 634 = 11x - 968", "Combine constants: 7x - 900 = 11x - 968", "Subtract 11x from both sides: -4x - 900 = -968", "Add 900 to both sides: -4x = -68", "Divide both sides by -4: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 38) - 634 = 11(x - 88)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 38, \"c\": 11, \"d\": 88, \"f\": -634, \"x\": 17}", "seed": "14460483723742839698", "semantic_fingerprint": "sha256:e38ec32d96996c1643614781a6db0070b4774d44fbf6fd958dcd2f19edafe924", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004068", "prompt": "Evaluate: -9 + (932 + (-9)) / (-2) / (-2)", "solution_steps": ["Add: 932 + (-9) = 923", "Divide: 923 / (-2) = -923/2", "Divide: (-923/2) / (-2) = 923/4", "Add: -9 + 923/4 = 887/4"], "final_answer": "887/4", "answer_type": "rational", "kind": "expression", "math_text": "-9 + (932 + (-9)) / (-2) / (-2)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (/ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 932, \"c\": -9, \"d\": -2, \"e\": -2}", "seed": "2507980221889878839", "semantic_fingerprint": "sha256:76e8c9415578759747364047bdaf3743e441ffd558dc564c10a9b99cedf50211", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004069", "prompt": "Compute: -6 + (-7 * (-6) - 94)", "solution_steps": ["Multiply: -7 * (-6) = 42", "Subtract: 42 - 94 = -52", "Add: -6 + (-52) = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "expression", "math_text": "-6 + (-7 * (-6) - 94)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -7, \"c\": -6, \"d\": 94}", "seed": "18022622745311920908", "semantic_fingerprint": "sha256:5cb9ad1566a272d65207d9119a4072c779574ea820dbbef6da7015d0cea4edb6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004070", "prompt": "Calculate: -5 - (-49 + (-70 - 700))", "solution_steps": ["Subtract: -70 - 700 = -770", "Add: -49 + (-770) = -819", "Subtract: -5 - (-819) = 814"], "final_answer": "814", "answer_type": "integer", "kind": "expression", "math_text": "-5 - (-49 + (-70 - 700))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -49, \"c\": -70, \"d\": 700}", "seed": "8932800283444518652", "semantic_fingerprint": "sha256:3565fedaad569c4c8293f3e58fdf4aff3aac12d1ff2942bb93c7d0dda1045bee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004071", "prompt": "Calculate: -3 + (-4) * (-30 + (-7) / (-591) + 437)", "solution_steps": ["Divide: -7 / (-591) = 7/591", "Add: -30 + 7/591 = -17723/591", "Add: -17723/591 + 437 = 240544/591", "Multiply: -4 * (240544/591) = -962176/591", "Add: -3 + (-962176/591) = -963949/591"], "final_answer": "-963949/591", "answer_type": "rational", "kind": "expression", "math_text": "-3 + (-4) * (-30 + (-7) / (-591) + 437)", "variable": null, "family": "expression_5op", "shape": "(+ n (* n (+ (+ n (/ n n)) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -4, \"c\": -30, \"d\": -7, \"e\": -591, \"f\": 437}", "seed": "13832359658731584839", "semantic_fingerprint": "sha256:b15d73f07996f34665e85b099dd29a74f4564271ab1fcaa1a6206f1d0a97bcf1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004072", "prompt": "Evaluate: 14 * (-87) + (45 - 68 * (-511) / (-26))", "solution_steps": ["Multiply: 14 * (-87) = -1218", "Multiply: 68 * (-511) = -34748", "Divide: -34748 / (-26) = 17374/13", "Subtract: 45 - 17374/13 = -16789/13", "Add: -1218 + (-16789/13) = -32623/13"], "final_answer": "-32623/13", "answer_type": "rational", "kind": "expression", "math_text": "14 * (-87) + (45 - 68 * (-511) / (-26))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (- n (/ (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -87, \"c\": 45, \"d\": 68, \"e\": -511, \"f\": -26}", "seed": "12177223147747412032", "semantic_fingerprint": "sha256:e887dee4d77458f1183c68ad39afb10cb337bf5e8434b16bccb42c8f3545a1d6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004073", "prompt": "Find x: 2(x - 8) - 30 = 4(x - 6)", "solution_steps": ["Expand: 2x - 16 - 30 = 4(x - 6)", "Expand: 2x - 16 - 30 = 4x - 24", "Combine constants: 2x - 46 = 4x - 24", "Subtract 4x from both sides: -2x - 46 = -24", "Add 46 to both sides: -2x = 22", "Divide both sides by -2: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 8) - 30 = 4(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 4, \"d\": 6, \"f\": -30, \"x\": -11}", "seed": "13546579966962115202", "semantic_fingerprint": "sha256:47c47ba64ebffebf28eed2680b37408e706288724f1e1fd5d511882f89c8effb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004074", "prompt": "Find x: 2(x - 42) = 8x - 40", "solution_steps": ["Expand: 2x - 84 = 8x - 40", "Subtract 8x from both sides: -6x - 84 = -40", "Add 84 to both sides: -6x = 44", "Divide both sides by -6: x = -22/3"], "final_answer": "-22/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 42) = 8x - 40", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 42, \"c\": 8, \"d\": 40}", "seed": "11168676452558966966", "semantic_fingerprint": "sha256:6eb2a832404eb78372393d18ffe2e522330888b555f79c2017ade9a5732c6378", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004075", "prompt": "Evaluate: 7 / (-8 - 36) * 57 + (-287 + (-75))", "solution_steps": ["Subtract: -8 - 36 = -44", "Divide: 7 / (-44) = -7/44", "Multiply: (-7/44) * 57 = -399/44", "Add: -287 + (-75) = -362", "Add: -399/44 + (-362) = -16327/44"], "final_answer": "-16327/44", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-8 - 36) * 57 + (-287 + (-75))", "variable": null, "family": "expression_5op", "shape": "(+ (* (/ n (- n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -8, \"c\": 36, \"d\": 57, \"e\": -287, \"f\": -75}", "seed": "6801359305723670253", "semantic_fingerprint": "sha256:97b96d58eb43b52becbcc181650d0bdd31479a51c3444522a1b174e427a14fae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004076", "prompt": "Solve for x: 7(x - 633) = 6x - 45", "solution_steps": ["Expand: 7x - 4431 = 6x - 45", "Subtract 6x from both sides: x - 4431 = -45", "Add 4431 to both sides: x = 4386"], "final_answer": "4386", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 633) = 6x - 45", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 633, \"c\": 6, \"d\": 45}", "seed": "6762868875151818348", "semantic_fingerprint": "sha256:a73b01f2919a7ef2b966f46275b311678260c4faed8d81798dd7e8bdb890f0ec", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004077", "prompt": "Solve the equation 11(x - 70) + 214 = -5(x + 9) - 63 for x.", "solution_steps": ["Expand: 11x - 770 + 214 = -5(x + 9) - 63", "Expand: 11x - 770 + 214 = -5x - 45 - 63", "Combine constants: 11x - 556 = -5x - 45 - 63", "Combine constants: 11x - 556 = -5x - 108", "Add 5x to both sides: 16x - 556 = -108", "Add 556 to both sides: 16x = 448", "Divide both sides by 16: x = 28"], "final_answer": "28", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 70) + 214 = -5(x + 9) - 63", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 70, \"c\": 214, \"d\": -5, \"e\": 9, \"f\": 63}", "seed": "13163278602745195802", "semantic_fingerprint": "sha256:a46aed7ab58a2e9373553a70ed8bb28b9b63bc803a76f12206f00321ff24da7d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004078", "prompt": "Find x: 8(x - 22) - 8 = 9(x - 2) - 178", "solution_steps": ["Expand: 8x - 176 - 8 = 9(x - 2) - 178", "Expand: 8x - 176 - 8 = 9x - 18 - 178", "Combine constants: 8x - 184 = 9x - 18 - 178", "Combine constants: 8x - 184 = 9x - 196", "Subtract 9x from both sides: -x - 184 = -196", "Add 184 to both sides: -x = -12", "Divide both sides by -1: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 22) - 8 = 9(x - 2) - 178", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 22, \"c\": 8, \"d\": 9, \"e\": 2, \"g\": -178, \"x\": 12}", "seed": "6902584847618538944", "semantic_fingerprint": "sha256:29ff88e35f3c426622cc04ddc8da4fd8162965ba1baa1ce3d77c254ab63a3d24", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004079", "prompt": "Evaluate: -1 / (-1) + (-1) * (-9 + 1)", "solution_steps": ["Divide: -1 / (-1) = 1", "Add: -9 + 1 = -8", "Multiply: -1 * (-8) = 8", "Add: 1 + 8 = 9"], "final_answer": "9", "answer_type": "integer", "kind": "expression", "math_text": "-1 / (-1) + (-1) * (-9 + 1)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -1, \"c\": -1, \"d\": -9, \"e\": 1}", "seed": "11732112988807873615", "semantic_fingerprint": "sha256:0ae012e6bc309aae45b3946409c02dc587f2fb0ef528143db06dccddb759aa05", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004080", "prompt": "Find x: 12(x - 2) - 228 = 2(x - 99) - 254", "solution_steps": ["Expand: 12x - 24 - 228 = 2(x - 99) - 254", "Expand: 12x - 24 - 228 = 2x - 198 - 254", "Combine constants: 12x - 252 = 2x - 198 - 254", "Combine constants: 12x - 252 = 2x - 452", "Subtract 2x from both sides: 10x - 252 = -452", "Add 252 to both sides: 10x = -200", "Divide both sides by 10: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 2) - 228 = 2(x - 99) - 254", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 228, \"d\": 2, \"e\": 99, \"g\": -254, \"x\": -20}", "seed": "282455052322857528", "semantic_fingerprint": "sha256:c63410209468422d60eb1014845e7f987d77735e7d20b81b920cf60800c7900e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004081", "prompt": "Solve for x: -4(x + 8) - 8 = x - 90", "solution_steps": ["Expand: -4x - 32 - 8 = x - 90", "Combine constants: -4x - 40 = x - 90", "Subtract x from both sides: -5x - 40 = -90", "Add 40 to both sides: -5x = -50", "Divide both sides by -5: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 8) - 8 = x - 90", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 8, \"c\": 8, \"e\": -90, \"x\": 10}", "seed": "15336909830879879600", "semantic_fingerprint": "sha256:f7fe5e5f6d3741c6d505f5305a83e4df97398c6d2719e70efc41059ba23b16c6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004082", "prompt": "Evaluate: (128 * 64 - 131) / (-36 / 54)", "solution_steps": ["Multiply: 128 * 64 = 8192", "Subtract: 8192 - 131 = 8061", "Divide: -36 / 54 = -2/3", "Divide: 8061 / (-2/3) = -24183/2"], "final_answer": "-24183/2", "answer_type": "rational", "kind": "expression", "math_text": "(128 * 64 - 131) / (-36 / 54)", "variable": null, "family": "expression_4op", "shape": "(/ (- (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 128, \"b\": 64, \"c\": 131, \"d\": -36, \"e\": 54}", "seed": "3786506917442431310", "semantic_fingerprint": "sha256:4d4faa9ed8adf7d417bf930916782b345a99934aa0754f41f3f5f182c958d73a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004083", "prompt": "Calculate: -4 * 81 / (-7 + (-35))", "solution_steps": ["Multiply: -4 * 81 = -324", "Add: -7 + (-35) = -42", "Divide: -324 / (-42) = 54/7"], "final_answer": "54/7", "answer_type": "rational", "kind": "expression", "math_text": "-4 * 81 / (-7 + (-35))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 81, \"c\": -7, \"d\": -35}", "seed": "17599650142613584228", "semantic_fingerprint": "sha256:131d10d3b2af796554523fa667639be8d78c3e92367501ce81d4ee67e1ec23e6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004084", "prompt": "Solve for x: 6(x - 3) = 10x - 98", "solution_steps": ["Expand: 6x - 18 = 10x - 98", "Subtract 10x from both sides: -4x - 18 = -98", "Add 18 to both sides: -4x = -80", "Divide both sides by -4: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 3) = 10x - 98", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 10, \"e\": -98, \"x\": 20}", "seed": "11421170062498881953", "semantic_fingerprint": "sha256:937aff19b95a0e2bcee97c030427e2e013931d4e5688c5e2216c37425b75f3dd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004085", "prompt": "What value of x satisfies -10(x + 5) + 1 = 4(x + 132) - 535?", "solution_steps": ["Expand: -10x - 50 + 1 = 4(x + 132) - 535", "Expand: -10x - 50 + 1 = 4x + 528 - 535", "Combine constants: -10x - 49 = 4x + 528 - 535", "Combine constants: -10x - 49 = 4x - 7", "Subtract 4x from both sides: -14x - 49 = -7", "Add 49 to both sides: -14x = 42", "Divide both sides by -14: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 5) + 1 = 4(x + 132) - 535", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 5, \"c\": 1, \"d\": 4, \"e\": 132, \"g\": -535, \"x\": -3}", "seed": "5791484324459600207", "semantic_fingerprint": "sha256:bedba3202b603f3a757ef7acde76db5a29ffccac219b1f88648adab65fec93bf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004086", "prompt": "Solve for x: -2(x - 2) - 311 = 5(x - 81)", "solution_steps": ["Expand: -2x + 4 - 311 = 5(x - 81)", "Expand: -2x + 4 - 311 = 5x - 405", "Combine constants: -2x - 307 = 5x - 405", "Subtract 5x from both sides: -7x - 307 = -405", "Add 307 to both sides: -7x = -98", "Divide both sides by -7: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 2) - 311 = 5(x - 81)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 2, \"c\": 5, \"d\": 81, \"f\": -311, \"x\": 14}", "seed": "18007239635416616082", "semantic_fingerprint": "sha256:cf4fe1164b35721c60d3ae6e486e3d982a276492d9a811686a87064d7f3e58e6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004087", "prompt": "What is (78 + 34 + (-3)) * (-63)?", "solution_steps": ["Add: 78 + 34 = 112", "Add: 112 + (-3) = 109", "Multiply: 109 * (-63) = -6867"], "final_answer": "-6867", "answer_type": "integer", "kind": "expression", "math_text": "(78 + 34 + (-3)) * (-63)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": 34, \"c\": -3, \"d\": -63}", "seed": "626377268479962518", "semantic_fingerprint": "sha256:c4885dede9a167462ed948613659a64c2737f57a84145eb30cd1ed7f63a23116", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004088", "prompt": "What value of x satisfies -8(x + 10) - 512 = x - 664?", "solution_steps": ["Expand: -8x - 80 - 512 = x - 664", "Combine constants: -8x - 592 = x - 664", "Subtract x from both sides: -9x - 592 = -664", "Add 592 to both sides: -9x = -72", "Divide both sides by -9: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 10) - 512 = x - 664", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 10, \"c\": 512, \"e\": -664, \"x\": 8}", "seed": "4288068169812449846", "semantic_fingerprint": "sha256:74f9e802dcb50a5d5272dc8c1be58e8884daa56c8057e09622c3b1d02ea0d338", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004089", "prompt": "Calculate: (0 + (-51)) / (-2 / (-5))", "solution_steps": ["Add: 0 + (-51) = -51", "Divide: -2 / (-5) = 2/5", "Divide: -51 / (2/5) = -255/2"], "final_answer": "-255/2", "answer_type": "rational", "kind": "expression", "math_text": "(0 + (-51)) / (-2 / (-5))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -51, \"c\": -2, \"d\": -5}", "seed": "12337298534256289982", "semantic_fingerprint": "sha256:e2adfd3a1b9f4f9e0fcc0e5ebb92a2942c3542336cea3477e05c1d5bd92b7ebd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004090", "prompt": "Solve for x: 6x - 489 = 11(x + 7) + 43", "solution_steps": ["Expand: 6x - 489 = 11x + 77 + 43", "Combine constants: 6x - 489 = 11x + 120", "Subtract 11x from both sides: -5x - 489 = 120", "Add 489 to both sides: -5x = 609", "Divide both sides by -5: x = -609/5"], "final_answer": "-609/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x - 489 = 11(x + 7) + 43", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 489, \"c\": 11, \"d\": 7, \"e\": 43}", "seed": "776729095373569350", "semantic_fingerprint": "sha256:5c53e9176bff3a6871ca0ddb522c0e62fc66ec7c364d9c5924a3b85bac41ecbb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004091", "prompt": "Calculate: -1 * (-6 / (-44 + 505) * (792 + (-5)))", "solution_steps": ["Add: -44 + 505 = 461", "Divide: -6 / 461 = -6/461", "Add: 792 + (-5) = 787", "Multiply: (-6/461) * 787 = -4722/461", "Multiply: -1 * (-4722/461) = 4722/461"], "final_answer": "4722/461", "answer_type": "rational", "kind": "expression", "math_text": "-1 * (-6 / (-44 + 505) * (792 + (-5)))", "variable": null, "family": "expression_5op", "shape": "(* n (* (/ n (+ n n)) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -6, \"c\": -44, \"d\": 505, \"e\": 792, \"f\": -5}", "seed": "5348858763054574163", "semantic_fingerprint": "sha256:f38da9e5204573b97b976fe505d1c44f9989983a19eae4c90d9b840553048dfd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004092", "prompt": "Calculate: -5 + (0 * 514 - (-7))", "solution_steps": ["Multiply: 0 * 514 = 0", "Subtract: 0 - (-7) = 7", "Add: -5 + 7 = 2"], "final_answer": "2", "answer_type": "integer", "kind": "expression", "math_text": "-5 + (0 * 514 - (-7))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 0, \"c\": 514, \"d\": -7}", "seed": "7754681338269701420", "semantic_fingerprint": "sha256:c5782551e9975d8d700a8d88918384b71a12c29ee3c35f523781600b5229fd9a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004093", "prompt": "Find x: x - 9 = -12(x - 5) + 74", "solution_steps": ["Expand: x - 9 = -12x + 60 + 74", "Combine constants: x - 9 = -12x + 134", "Add 12x to both sides: 13x - 9 = 134", "Add 9 to both sides: 13x = 143", "Divide both sides by 13: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9 = -12(x - 5) + 74", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -12, \"c\": 5, \"e\": 74, \"x\": 11}", "seed": "9913391712637267799", "semantic_fingerprint": "sha256:63a22fb21e2e7c95e998208a9de1f1933fbe3c29bd403cd5c8740056d9cae25f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004094", "prompt": "Compute: 393 / (-9 - (-2) + (-881))", "solution_steps": ["Subtract: -9 - (-2) = -7", "Add: -7 + (-881) = -888", "Divide: 393 / (-888) = -131/296"], "final_answer": "-131/296", "answer_type": "rational", "kind": "expression", "math_text": "393 / (-9 - (-2) + (-881))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 393, \"b\": -9, \"c\": -2, \"d\": -881}", "seed": "13830286257237648827", "semantic_fingerprint": "sha256:407338dc1996fb74a6aa1db4eb9827fbe23ee92831119432f83fd597c00b65ac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004095", "prompt": "Calculate: -851 / 27 + (-70) / 4", "solution_steps": ["Divide: -851 / 27 = -851/27", "Divide: -70 / 4 = -35/2", "Add: -851/27 + (-35/2) = -2647/54"], "final_answer": "-2647/54", "answer_type": "rational", "kind": "expression", "math_text": "-851 / 27 + (-70) / 4", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -851, \"b\": 27, \"c\": -70, \"d\": 4}", "seed": "15335758372266199029", "semantic_fingerprint": "sha256:f1c6ac7752475982475deec08a30beeedc917227ae4e8c9ae9be53050ca1f5a1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004096", "prompt": "What value of x satisfies -3(x + 37) - 60 = x - 235?", "solution_steps": ["Expand: -3x - 111 - 60 = x - 235", "Combine constants: -3x - 171 = x - 235", "Subtract x from both sides: -4x - 171 = -235", "Add 171 to both sides: -4x = -64", "Divide both sides by -4: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 37) - 60 = x - 235", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 37, \"c\": 60, \"e\": -235, \"x\": 16}", "seed": "14115160677223091127", "semantic_fingerprint": "sha256:cc6a5cca1ef40de71eba03a45c3401d950a0f2288ae443880bab1dd64e66fb19", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004097", "prompt": "What value of x satisfies 2(x + 71) - 509 = x - 357?", "solution_steps": ["Expand: 2x + 142 - 509 = x - 357", "Combine constants: 2x - 367 = x - 357", "Subtract x from both sides: x - 367 = -357", "Add 367 to both sides: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 71) - 509 = x - 357", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 71, \"c\": 509, \"e\": -357, \"x\": 10}", "seed": "1308027998718496265", "semantic_fingerprint": "sha256:4932e91dbfdc6395c6c343d7d53962ae420a7c54d6141c074feda863fc103623", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004098", "prompt": "What is (7 - (-8)) * (0 / (-264))?", "solution_steps": ["Subtract: 7 - (-8) = 15", "Divide: 0 / (-264) = 0", "Multiply: 15 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(7 - (-8)) * (0 / (-264))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -8, \"c\": 0, \"d\": -264}", "seed": "8914126503722956720", "semantic_fingerprint": "sha256:296034d07842862b3fd99bc680ea6554f030cfa4a49e512027380262ca9a562c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004099", "prompt": "Calculate: 17 + (-2 + (-493)) - (-707)", "solution_steps": ["Add: -2 + (-493) = -495", "Add: 17 + (-495) = -478", "Subtract: -478 - (-707) = 229"], "final_answer": "229", "answer_type": "integer", "kind": "expression", "math_text": "17 + (-2 + (-493)) - (-707)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": -2, \"c\": -493, \"d\": -707}", "seed": "11477066796796944289", "semantic_fingerprint": "sha256:46c15a31ff9d228cd72a0b068357598919db09989667dec2761f233a5b871707", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004100", "prompt": "What value of x satisfies -2(x + 3) - 63 = x - 114?", "solution_steps": ["Expand: -2x - 6 - 63 = x - 114", "Combine constants: -2x - 69 = x - 114", "Subtract x from both sides: -3x - 69 = -114", "Add 69 to both sides: -3x = -45", "Divide both sides by -3: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 3) - 63 = x - 114", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 3, \"c\": 63, \"e\": -114, \"x\": 15}", "seed": "5757973653326730768", "semantic_fingerprint": "sha256:60c2b770da8d2576e202a57630056ed35692dbc9b2b830171822f7b046bac797", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004101", "prompt": "Evaluate: 22 * 84 + (91 - (-27) / (-172))", "solution_steps": ["Multiply: 22 * 84 = 1848", "Divide: -27 / (-172) = 27/172", "Subtract: 91 - 27/172 = 15625/172", "Add: 1848 + 15625/172 = 333481/172"], "final_answer": "333481/172", "answer_type": "rational", "kind": "expression", "math_text": "22 * 84 + (91 - (-27) / (-172))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": 84, \"c\": 91, \"d\": -27, \"e\": -172}", "seed": "15686869144418781664", "semantic_fingerprint": "sha256:337309d45923c038dd17c79291d6aea9bc7d54decd1c44205c4483d2daacd2ca", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004102", "prompt": "Solve the equation 9(x - 12) = -9x - 661 for x.", "solution_steps": ["Expand: 9x - 108 = -9x - 661", "Add 9x to both sides: 18x - 108 = -661", "Add 108 to both sides: 18x = -553", "Divide both sides by 18: x = -553/18"], "final_answer": "-553/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 12) = -9x - 661", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 12, \"c\": -9, \"d\": 661}", "seed": "6823075667073916610", "semantic_fingerprint": "sha256:aad48bdb281803ccbcc351c2d5e4cc318aba1197132628ce8c5998fb0623681c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004103", "prompt": "Solve for x: -5(x - 7) = 5x - 125", "solution_steps": ["Expand: -5x + 35 = 5x - 125", "Subtract 5x from both sides: -10x + 35 = -125", "Subtract 35 from both sides: -10x = -160", "Divide both sides by -10: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 7) = 5x - 125", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 7, \"c\": 5, \"e\": -125, \"x\": 16}", "seed": "507469751736816207", "semantic_fingerprint": "sha256:4a529dc3cac29a40940f9d7243e117470561286ded400110f913b539664147d5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004104", "prompt": "Evaluate: (-64 - 37) * (40 / (-650))", "solution_steps": ["Subtract: -64 - 37 = -101", "Divide: 40 / (-650) = -4/65", "Multiply: -101 * (-4/65) = 404/65"], "final_answer": "404/65", "answer_type": "rational", "kind": "expression", "math_text": "(-64 - 37) * (40 / (-650))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": 37, \"c\": 40, \"d\": -650}", "seed": "3835267451378929331", "semantic_fingerprint": "sha256:8d16bdbbf6fb4e391e1dd38c0fd67329c5f73ad4fab3a92b303dc34a77ae7a4e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004105", "prompt": "Compute: -1 / (((-5 - (-4)) / (-17) - 9) / (-64))", "solution_steps": ["Subtract: -5 - (-4) = -1", "Divide: -1 / (-17) = 1/17", "Subtract: 1/17 - 9 = -152/17", "Divide: (-152/17) / (-64) = 19/136", "Divide: -1 / (19/136) = -136/19"], "final_answer": "-136/19", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (((-5 - (-4)) / (-17) - 9) / (-64))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (- (/ (- n n) n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -5, \"c\": -4, \"d\": -17, \"e\": 9, \"f\": -64}", "seed": "7947812301772735010", "semantic_fingerprint": "sha256:a652a11e914674597c14f0f1192ae1b2cbca29450bd7ce8dc82ed06c5101c82e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004106", "prompt": "Solve for x: 5(x - 7) - 425 = 10(x - 44)", "solution_steps": ["Expand: 5x - 35 - 425 = 10(x - 44)", "Expand: 5x - 35 - 425 = 10x - 440", "Combine constants: 5x - 460 = 10x - 440", "Subtract 10x from both sides: -5x - 460 = -440", "Add 460 to both sides: -5x = 20", "Divide both sides by -5: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 7) - 425 = 10(x - 44)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": 10, \"d\": 44, \"f\": -425, \"x\": -4}", "seed": "5435405369622234637", "semantic_fingerprint": "sha256:c19ced143c849f2e5adcd9efc100b43a363b6a339302bff790a67cf352aaa22e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004107", "prompt": "Compute: (1 + (-61) + (-2)) * (-81)", "solution_steps": ["Add: 1 + (-61) = -60", "Add: -60 + (-2) = -62", "Multiply: -62 * (-81) = 5022"], "final_answer": "5022", "answer_type": "integer", "kind": "expression", "math_text": "(1 + (-61) + (-2)) * (-81)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -61, \"c\": -2, \"d\": -81}", "seed": "10001798415555850483", "semantic_fingerprint": "sha256:92470dc5b9e60fe69ac5a5def7bc2457c992610ddfc49f7d83863c235e876f15", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004108", "prompt": "Evaluate: 148 + (36 * 9 - (-686))", "solution_steps": ["Multiply: 36 * 9 = 324", "Subtract: 324 - (-686) = 1010", "Add: 148 + 1010 = 1158"], "final_answer": "1158", "answer_type": "integer", "kind": "expression", "math_text": "148 + (36 * 9 - (-686))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 148, \"b\": 36, \"c\": 9, \"d\": -686}", "seed": "17014075368339213393", "semantic_fingerprint": "sha256:ca6f6337d90600aba5e89e851998519fdbc787ecf500e6232fe8111bca1343c8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004109", "prompt": "What is 65 * (16 * 91) - (-3)?", "solution_steps": ["Multiply: 16 * 91 = 1456", "Multiply: 65 * 1456 = 94640", "Subtract: 94640 - (-3) = 94643"], "final_answer": "94643", "answer_type": "integer", "kind": "expression", "math_text": "65 * (16 * 91) - (-3)", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 16, \"c\": 91, \"d\": -3}", "seed": "16395857005213540786", "semantic_fingerprint": "sha256:09035b58e968aef461d4e3532ce472968468f8f2008d38c9b51a8e426a63aebd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004110", "prompt": "What value of x satisfies 4(x + 8) + 316 = -2(x + 714) - 29?", "solution_steps": ["Expand: 4x + 32 + 316 = -2(x + 714) - 29", "Expand: 4x + 32 + 316 = -2x - 1428 - 29", "Combine constants: 4x + 348 = -2x - 1428 - 29", "Combine constants: 4x + 348 = -2x - 1457", "Add 2x to both sides: 6x + 348 = -1457", "Subtract 348 from both sides: 6x = -1805", "Divide both sides by 6: x = -1805/6"], "final_answer": "-1805/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 8) + 316 = -2(x + 714) - 29", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": 316, \"d\": -2, \"e\": 714, \"f\": 29}", "seed": "13385152004285555575", "semantic_fingerprint": "sha256:74eb3fa6982a3b113d186f369f6fecd6ca2543353bd052f6fa2cdd794adbdeed", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004111", "prompt": "Evaluate: 0 / (-81) - 135 - (-40)", "solution_steps": ["Divide: 0 / (-81) = 0", "Subtract: 0 - 135 = -135", "Subtract: -135 - (-40) = -95"], "final_answer": "-95", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-81) - 135 - (-40)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -81, \"c\": 135, \"d\": -40}", "seed": "13446744425218364901", "semantic_fingerprint": "sha256:c6b3d5d58e1afc41f77bd5b4b4f2ca523e18b1d6aa51a038354282de4c451bff", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004112", "prompt": "What is (-49 + (-8) + (-35)) * (-55)?", "solution_steps": ["Add: -49 + (-8) = -57", "Add: -57 + (-35) = -92", "Multiply: -92 * (-55) = 5060"], "final_answer": "5060", "answer_type": "integer", "kind": "expression", "math_text": "(-49 + (-8) + (-35)) * (-55)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": -8, \"c\": -35, \"d\": -55}", "seed": "647286929742358311", "semantic_fingerprint": "sha256:4e4508dd5811be0bbda8f9f465124ef053b2709d7fc48651d2f592ee2a9ce576", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004113", "prompt": "Compute: (-971 + (141 + 3 - (-26) - 0)) * 54", "solution_steps": ["Add: 141 + 3 = 144", "Subtract: 144 - (-26) = 170", "Subtract: 170 - 0 = 170", "Add: -971 + 170 = -801", "Multiply: -801 * 54 = -43254"], "final_answer": "-43254", "answer_type": "integer", "kind": "expression", "math_text": "(-971 + (141 + 3 - (-26) - 0)) * 54", "variable": null, "family": "expression_5op", "shape": "(* (+ n (- (- (+ n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -971, \"b\": 141, \"c\": 3, \"d\": -26, \"e\": 0, \"f\": 54}", "seed": "12519859350770695591", "semantic_fingerprint": "sha256:1cb28e997005305c30676185ba50e3b5369da27f65cbdd70e85ef65d04850ff6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004114", "prompt": "What value of x satisfies -8(x - 247) = 3x - 592?", "solution_steps": ["Expand: -8x + 1976 = 3x - 592", "Subtract 3x from both sides: -11x + 1976 = -592", "Subtract 1976 from both sides: -11x = -2568", "Divide both sides by -11: x = 2568/11"], "final_answer": "2568/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 247) = 3x - 592", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 247, \"c\": 3, \"d\": 592}", "seed": "9063691811720005283", "semantic_fingerprint": "sha256:cd6d0d9def1f2ddc1306206042f5299cb7a39aa3bae10a6a6e8c30b34eb2f6a7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004115", "prompt": "Compute: -9 * (-775 / (533 / 2) + 69)", "solution_steps": ["Divide: 533 / 2 = 533/2", "Divide: -775 / (533/2) = -1550/533", "Add: -1550/533 + 69 = 35227/533", "Multiply: -9 * (35227/533) = -317043/533"], "final_answer": "-317043/533", "answer_type": "rational", "kind": "expression", "math_text": "-9 * (-775 / (533 / 2) + 69)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (/ n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -775, \"c\": 533, \"d\": 2, \"e\": 69}", "seed": "2299184238306826913", "semantic_fingerprint": "sha256:56dac3d838012dd2b9267610ffd191ab8b69d22c2fbdcc257bb6199007d1d339", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004116", "prompt": "What is 4 * (-66 - 47 + (-66) * 25)?", "solution_steps": ["Subtract: -66 - 47 = -113", "Multiply: -66 * 25 = -1650", "Add: -113 + (-1650) = -1763", "Multiply: 4 * (-1763) = -7052"], "final_answer": "-7052", "answer_type": "integer", "kind": "expression", "math_text": "4 * (-66 - 47 + (-66) * 25)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (- n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -66, \"c\": 47, \"d\": -66, \"e\": 25}", "seed": "9469265712997130500", "semantic_fingerprint": "sha256:60b64daca6508aaa1d285657daca725c24b396df2b283ba386b7812cd7c0b70f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004117", "prompt": "Evaluate: (57 + 42) / (240 / (-1))", "solution_steps": ["Add: 57 + 42 = 99", "Divide: 240 / (-1) = -240", "Divide: 99 / (-240) = -33/80"], "final_answer": "-33/80", "answer_type": "rational", "kind": "expression", "math_text": "(57 + 42) / (240 / (-1))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": 42, \"c\": 240, \"d\": -1}", "seed": "17109636148497341093", "semantic_fingerprint": "sha256:8c63f9e4814732dfa39442bf8872ee47f3f6f019043f0b6cbf37587e983c6027", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004118", "prompt": "Calculate: -7 + (8 / 26 * (2 - (-995)) + 3)", "solution_steps": ["Divide: 8 / 26 = 4/13", "Subtract: 2 - (-995) = 997", "Multiply: (4/13) * 997 = 3988/13", "Add: 3988/13 + 3 = 4027/13", "Add: -7 + 4027/13 = 3936/13"], "final_answer": "3936/13", "answer_type": "rational", "kind": "expression", "math_text": "-7 + (8 / 26 * (2 - (-995)) + 3)", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (* (/ n n) (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 8, \"c\": 26, \"d\": 2, \"e\": -995, \"f\": 3}", "seed": "2639128628962288731", "semantic_fingerprint": "sha256:99b87511d868fa66a6584100a2aec2ec90be3e9b7497f90a7d0db199a01b228e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004119", "prompt": "Solve the equation x - 35 = 10(x - 6) + 52 for x.", "solution_steps": ["Expand: x - 35 = 10x - 60 + 52", "Combine constants: x - 35 = 10x - 8", "Subtract 10x from both sides: -9x - 35 = -8", "Add 35 to both sides: -9x = 27", "Divide both sides by -9: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 35 = 10(x - 6) + 52", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 10, \"c\": 6, \"e\": 52, \"x\": -3}", "seed": "3934246542689770178", "semantic_fingerprint": "sha256:eb780db77eab2b047e0bb206c27dcc00f53d3b347181c74360604852413374a3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004120", "prompt": "Compute: 893 / (45 / (-3 * 6))", "solution_steps": ["Multiply: -3 * 6 = -18", "Divide: 45 / (-18) = -5/2", "Divide: 893 / (-5/2) = -1786/5"], "final_answer": "-1786/5", "answer_type": "rational", "kind": "expression", "math_text": "893 / (45 / (-3 * 6))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 893, \"b\": 45, \"c\": -3, \"d\": 6}", "seed": "888854028300820432", "semantic_fingerprint": "sha256:3f42c5381afd4a191b7ceaec9b91de6d798cb586026b4617927d8f0985d229c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004121", "prompt": "Solve for x: 7(x - 6) - 287 = 6(x - 57)", "solution_steps": ["Expand: 7x - 42 - 287 = 6(x - 57)", "Expand: 7x - 42 - 287 = 6x - 342", "Combine constants: 7x - 329 = 6x - 342", "Subtract 6x from both sides: x - 329 = -342", "Add 329 to both sides: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 6) - 287 = 6(x - 57)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 6, \"d\": 57, \"f\": -287, \"x\": -13}", "seed": "11461829705673936055", "semantic_fingerprint": "sha256:99d767ac12edc65c9d16f8f92e8955db0101088a9dfa66600270848b3ac5bc4f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004122", "prompt": "What value of x satisfies x - 564 = 9(x - 8) + 184?", "solution_steps": ["Expand: x - 564 = 9x - 72 + 184", "Combine constants: x - 564 = 9x + 112", "Subtract 9x from both sides: -8x - 564 = 112", "Add 564 to both sides: -8x = 676", "Divide both sides by -8: x = -169/2"], "final_answer": "-169/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 564 = 9(x - 8) + 184", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 564, \"b\": 9, \"c\": 8, \"d\": 184}", "seed": "1053328583297999582", "semantic_fingerprint": "sha256:94476b38a913569f55e44ac20874c0f2837ad613706542972f4e5d99bd110bec", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004123", "prompt": "Find x: x - 6 = 11(x - 29) + 313", "solution_steps": ["Expand: x - 6 = 11x - 319 + 313", "Combine constants: x - 6 = 11x - 6", "Subtract 11x from both sides: -10x - 6 = -6", "Add 6 to both sides: -10x = 0", "Divide both sides by -10: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6 = 11(x - 29) + 313", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 11, \"c\": 29, \"e\": 313, \"x\": 0}", "seed": "15597944000468877956", "semantic_fingerprint": "sha256:f8821a26c6708f583dc4395cff8d31be0896dffaa849887c132a1636374a0890", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004124", "prompt": "Calculate: (-7 / 6 + 17) * (-11)", "solution_steps": ["Divide: -7 / 6 = -7/6", "Add: -7/6 + 17 = 95/6", "Multiply: (95/6) * (-11) = -1045/6"], "final_answer": "-1045/6", "answer_type": "rational", "kind": "expression", "math_text": "(-7 / 6 + 17) * (-11)", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 6, \"c\": 17, \"d\": -11}", "seed": "9920576868894652434", "semantic_fingerprint": "sha256:2a6b6cc1489ed6788ed1fd4fb01be18002e7837a7685e70a26b9c5847813f03b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004125", "prompt": "What is -63 + 347 + (22 - (-13)) * (-52)?", "solution_steps": ["Add: -63 + 347 = 284", "Subtract: 22 - (-13) = 35", "Multiply: 35 * (-52) = -1820", "Add: 284 + (-1820) = -1536"], "final_answer": "-1536", "answer_type": "integer", "kind": "expression", "math_text": "-63 + 347 + (22 - (-13)) * (-52)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 347, \"c\": 22, \"d\": -13, \"e\": -52}", "seed": "8375374677112451086", "semantic_fingerprint": "sha256:3c04e11694390bf24fa7bec5d254215670071255445204e5669e780db0624ed5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004126", "prompt": "What value of x satisfies 4(x - 5) + 42 = 2(x - 7)?", "solution_steps": ["Expand: 4x - 20 + 42 = 2(x - 7)", "Expand: 4x - 20 + 42 = 2x - 14", "Combine constants: 4x + 22 = 2x - 14", "Subtract 2x from both sides: 2x + 22 = -14", "Subtract 22 from both sides: 2x = -36", "Divide both sides by 2: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 5) + 42 = 2(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 2, \"d\": 7, \"f\": 42, \"x\": -18}", "seed": "1268589918808080096", "semantic_fingerprint": "sha256:cb1b8057ec1f638c44b4a4058e95a45205e23603b554ca6b3bab287820791fa6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004127", "prompt": "Find x: 6(x - 1) + 638 = 10x + 568", "solution_steps": ["Expand: 6x - 6 + 638 = 10x + 568", "Combine constants: 6x + 632 = 10x + 568", "Subtract 10x from both sides: -4x + 632 = 568", "Subtract 632 from both sides: -4x = -64", "Divide both sides by -4: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 1) + 638 = 10x + 568", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"c\": 638, \"d\": 10, \"f\": 568, \"x\": 16}", "seed": "6883568756520024407", "semantic_fingerprint": "sha256:2782654f40ffa95e36e9b52a525a185a4f153fa7bfde13bad8f4b6642ecf42b4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004128", "prompt": "What is (47 - (-69)) * (-7 * 933)?", "solution_steps": ["Subtract: 47 - (-69) = 116", "Multiply: -7 * 933 = -6531", "Multiply: 116 * (-6531) = -757596"], "final_answer": "-757596", "answer_type": "integer", "kind": "expression", "math_text": "(47 - (-69)) * (-7 * 933)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": -69, \"c\": -7, \"d\": 933}", "seed": "15964635440635193825", "semantic_fingerprint": "sha256:c4e6a8fc8003b841e9ad70b06b17ce40f4b902b402eea2cd56cbb25e4d06037e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004129", "prompt": "Evaluate: 150 - (-788 + (-87)) + 5", "solution_steps": ["Add: -788 + (-87) = -875", "Subtract: 150 - (-875) = 1025", "Add: 1025 + 5 = 1030"], "final_answer": "1030", "answer_type": "integer", "kind": "expression", "math_text": "150 - (-788 + (-87)) + 5", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 150, \"b\": -788, \"c\": -87, \"d\": 5}", "seed": "10382679354542557198", "semantic_fingerprint": "sha256:724e5e5ae1a8ffb9673a94569d09f5db9e367eed772e9f8db71bb853a999db3b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004130", "prompt": "Find x: -8(x + 43) + 67 = 3(x + 9) - 7", "solution_steps": ["Expand: -8x - 344 + 67 = 3(x + 9) - 7", "Expand: -8x - 344 + 67 = 3x + 27 - 7", "Combine constants: -8x - 277 = 3x + 27 - 7", "Combine constants: -8x - 277 = 3x + 20", "Subtract 3x from both sides: -11x - 277 = 20", "Add 277 to both sides: -11x = 297", "Divide both sides by -11: x = -27"], "final_answer": "-27", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 43) + 67 = 3(x + 9) - 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 43, \"c\": 67, \"d\": 3, \"e\": 9, \"f\": 7}", "seed": "1900220264955712165", "semantic_fingerprint": "sha256:605754136e361b77046b1191cbcec9408d95fa0788d71d63b395e01e8eca276f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004131", "prompt": "Find x: 10(x - 1) - 330 = -5(x - 3) - 160", "solution_steps": ["Expand: 10x - 10 - 330 = -5(x - 3) - 160", "Expand: 10x - 10 - 330 = -5x + 15 - 160", "Combine constants: 10x - 340 = -5x + 15 - 160", "Combine constants: 10x - 340 = -5x - 145", "Add 5x to both sides: 15x - 340 = -145", "Add 340 to both sides: 15x = 195", "Divide both sides by 15: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 1) - 330 = -5(x - 3) - 160", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 1, \"c\": 330, \"d\": -5, \"e\": 3, \"g\": -160, \"x\": 13}", "seed": "3308148124209737488", "semantic_fingerprint": "sha256:1cc7db88ac1c8a5330e98c8c63276c7bb80f3285c6cf12a1dc51eba1f1305397", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004132", "prompt": "Compute: -94 * 126 + (-370 / 8 - (-9))", "solution_steps": ["Multiply: -94 * 126 = -11844", "Divide: -370 / 8 = -185/4", "Subtract: -185/4 - (-9) = -149/4", "Add: -11844 + (-149/4) = -47525/4"], "final_answer": "-47525/4", "answer_type": "rational", "kind": "expression", "math_text": "-94 * 126 + (-370 / 8 - (-9))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": 126, \"c\": -370, \"d\": 8, \"e\": -9}", "seed": "11086100456008806159", "semantic_fingerprint": "sha256:39f41fe83d5e1b73ba1fadf38cd4c83f6a8413aed15fa2a98378eb6272b7c482", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004133", "prompt": "What value of x satisfies 4(x - 27) = 7x - 96?", "solution_steps": ["Expand: 4x - 108 = 7x - 96", "Subtract 7x from both sides: -3x - 108 = -96", "Add 108 to both sides: -3x = 12", "Divide both sides by -3: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 27) = 7x - 96", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 27, \"c\": 7, \"e\": -96, \"x\": -4}", "seed": "1749620652191414079", "semantic_fingerprint": "sha256:34ecbd0beb05384cf27b975337b78c3960c4cd6a76c376cb667ac2fba2c3c397", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004134", "prompt": "Compute: 1 + 47 - 48 / (-7) * (-34)", "solution_steps": ["Add: 1 + 47 = 48", "Divide: 48 / (-7) = -48/7", "Multiply: (-48/7) * (-34) = 1632/7", "Subtract: 48 - 1632/7 = -1296/7"], "final_answer": "-1296/7", "answer_type": "rational", "kind": "expression", "math_text": "1 + 47 - 48 / (-7) * (-34)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (* (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 47, \"c\": 48, \"d\": -7, \"e\": -34}", "seed": "5775186124171280331", "semantic_fingerprint": "sha256:7fb12e80331110a089caaafe593776222908f352ebe7ba172a13d3681b5d2bf0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004135", "prompt": "Evaluate: (-206 + (-303)) / (3 + (887 - 86))", "solution_steps": ["Add: -206 + (-303) = -509", "Subtract: 887 - 86 = 801", "Add: 3 + 801 = 804", "Divide: -509 / 804 = -509/804"], "final_answer": "-509/804", "answer_type": "rational", "kind": "expression", "math_text": "(-206 + (-303)) / (3 + (887 - 86))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -206, \"b\": -303, \"c\": 3, \"d\": 887, \"e\": 86}", "seed": "2647463238781348804", "semantic_fingerprint": "sha256:4a3689cf87f5802c04477f8422053e901347e0168f3e77208bfff3e212bc0b64", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004136", "prompt": "What is -202 * (2 - (-9 * (-76) * 0 - (-84)))?", "solution_steps": ["Multiply: -9 * (-76) = 684", "Multiply: 684 * 0 = 0", "Subtract: 0 - (-84) = 84", "Subtract: 2 - 84 = -82", "Multiply: -202 * (-82) = 16564"], "final_answer": "16564", "answer_type": "integer", "kind": "expression", "math_text": "-202 * (2 - (-9 * (-76) * 0 - (-84)))", "variable": null, "family": "expression_5op", "shape": "(* n (- n (- (* (* n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -202, \"b\": 2, \"c\": -9, \"d\": -76, \"e\": 0, \"f\": -84}", "seed": "3565251087392045114", "semantic_fingerprint": "sha256:576a860d74f435eb131b4a3680645c0b3054daf54b8023b50cb38ff3ad774cea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004137", "prompt": "Solve the equation x - 27 = -10(x - 75) + 92 for x.", "solution_steps": ["Expand: x - 27 = -10x + 750 + 92", "Combine constants: x - 27 = -10x + 842", "Add 10x to both sides: 11x - 27 = 842", "Add 27 to both sides: 11x = 869", "Divide both sides by 11: x = 79"], "final_answer": "79", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 27 = -10(x - 75) + 92", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": -10, \"c\": 75, \"d\": 92}", "seed": "2419303829482853762", "semantic_fingerprint": "sha256:7b23554ea7db1209314e6e31bcf5bbb3b4e77964087bcb4dcbecfa22eb849155", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004138", "prompt": "What is (63 - 61) * (54 * (-887 + (-49 - 230)))?", "solution_steps": ["Subtract: 63 - 61 = 2", "Subtract: -49 - 230 = -279", "Add: -887 + (-279) = -1166", "Multiply: 54 * (-1166) = -62964", "Multiply: 2 * (-62964) = -125928"], "final_answer": "-125928", "answer_type": "integer", "kind": "expression", "math_text": "(63 - 61) * (54 * (-887 + (-49 - 230)))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (* n (+ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 61, \"c\": 54, \"d\": -887, \"e\": -49, \"f\": 230}", "seed": "3773098761788170113", "semantic_fingerprint": "sha256:17d833bf4db90a0ef74a681458cdb815161afb1cff8765c8ab46c98d688efe47", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004139", "prompt": "Find x: -2(x - 54) + 188 = -6x + 248", "solution_steps": ["Expand: -2x + 108 + 188 = -6x + 248", "Combine constants: -2x + 296 = -6x + 248", "Add 6x to both sides: 4x + 296 = 248", "Subtract 296 from both sides: 4x = -48", "Divide both sides by 4: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 54) + 188 = -6x + 248", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 54, \"c\": 188, \"d\": -6, \"f\": 248, \"x\": -12}", "seed": "4911056045131193916", "semantic_fingerprint": "sha256:4adecbc8acf57156b411019619c80de5188bce90050d1d45f812627b2994b84f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004140", "prompt": "Find x: 11(x - 2) = 6x - 369", "solution_steps": ["Expand: 11x - 22 = 6x - 369", "Subtract 6x from both sides: 5x - 22 = -369", "Add 22 to both sides: 5x = -347", "Divide both sides by 5: x = -347/5"], "final_answer": "-347/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 2) = 6x - 369", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 6, \"d\": 369}", "seed": "18318524604111633289", "semantic_fingerprint": "sha256:9fbc4e126cec58955dc539499acfeb186c8ad65501affc09fec5d7d855dfdf75", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004141", "prompt": "What is -8 * 53 / (-9 + (-676))?", "solution_steps": ["Multiply: -8 * 53 = -424", "Add: -9 + (-676) = -685", "Divide: -424 / (-685) = 424/685"], "final_answer": "424/685", "answer_type": "rational", "kind": "expression", "math_text": "-8 * 53 / (-9 + (-676))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 53, \"c\": -9, \"d\": -676}", "seed": "115208425510720668", "semantic_fingerprint": "sha256:100b6cdfa47ee91270827ee12e0c5aced9af3908b4d099ee1f6732adbd4a6feb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004142", "prompt": "What is 7 / (-67) / 30 - (-104) + (-5 - (-34))?", "solution_steps": ["Divide: 7 / (-67) = -7/67", "Divide: (-7/67) / 30 = -7/2010", "Subtract: -7/2010 - (-104) = 209033/2010", "Subtract: -5 - (-34) = 29", "Add: 209033/2010 + 29 = 267323/2010"], "final_answer": "267323/2010", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-67) / 30 - (-104) + (-5 - (-34))", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ (/ n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -67, \"c\": 30, \"d\": -104, \"e\": -5, \"f\": -34}", "seed": "3638001817714368859", "semantic_fingerprint": "sha256:7bbdd0d16dfdee4669e56f0e00a5f916d2653d63a8a009b26d5206b9b347e16a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004143", "prompt": "What is 64 + 314 - (-36) / 99 / (9 - (-257))?", "solution_steps": ["Add: 64 + 314 = 378", "Divide: -36 / 99 = -4/11", "Subtract: 9 - (-257) = 266", "Divide: (-4/11) / 266 = -2/1463", "Subtract: 378 - (-2/1463) = 553016/1463"], "final_answer": "553016/1463", "answer_type": "rational", "kind": "expression", "math_text": "64 + 314 - (-36) / 99 / (9 - (-257))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (/ (/ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": 314, \"c\": -36, \"d\": 99, \"e\": 9, \"f\": -257}", "seed": "5765327545116419148", "semantic_fingerprint": "sha256:b6ff8fb9c692651637fa1e59b0599952f82f28b7d2874d8b3b7c1cc65abb63cf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004144", "prompt": "What is -80 + (-721 - (-742) / 2 * 17)?", "solution_steps": ["Divide: -742 / 2 = -371", "Multiply: -371 * 17 = -6307", "Subtract: -721 - (-6307) = 5586", "Add: -80 + 5586 = 5506"], "final_answer": "5506", "answer_type": "integer", "kind": "expression", "math_text": "-80 + (-721 - (-742) / 2 * 17)", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (* (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": -721, \"c\": -742, \"d\": 2, \"e\": 17}", "seed": "17370650353302165149", "semantic_fingerprint": "sha256:087b9bf84f2b552984fff9a3d0afe35d176dd401fb5060499128012653a5e967", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004145", "prompt": "What value of x satisfies 10(x - 1) + 204 = -4(x - 17)?", "solution_steps": ["Expand: 10x - 10 + 204 = -4(x - 17)", "Expand: 10x - 10 + 204 = -4x + 68", "Combine constants: 10x + 194 = -4x + 68", "Add 4x to both sides: 14x + 194 = 68", "Subtract 194 from both sides: 14x = -126", "Divide both sides by 14: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 1) + 204 = -4(x - 17)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 1, \"c\": -4, \"d\": 17, \"f\": 204, \"x\": -9}", "seed": "1345093807647783139", "semantic_fingerprint": "sha256:b628b4d45d5586638093415ecb8b3d6186c1ef3077df2698cfc72b8fbcbf3b4f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004146", "prompt": "What is 75 * 2 - 51 / (-19) / 66?", "solution_steps": ["Multiply: 75 * 2 = 150", "Divide: 51 / (-19) = -51/19", "Divide: (-51/19) / 66 = -17/418", "Subtract: 150 - (-17/418) = 62717/418"], "final_answer": "62717/418", "answer_type": "rational", "kind": "expression", "math_text": "75 * 2 - 51 / (-19) / 66", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 2, \"c\": 51, \"d\": -19, \"e\": 66}", "seed": "2585125417325793381", "semantic_fingerprint": "sha256:8807b3c3e612b0bf8375d4289fed081320064c45b9bfba3675e268438db83ade", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004147", "prompt": "What is -715 - (-859 * (-5 - (-29)) - (-53))?", "solution_steps": ["Subtract: -5 - (-29) = 24", "Multiply: -859 * 24 = -20616", "Subtract: -20616 - (-53) = -20563", "Subtract: -715 - (-20563) = 19848"], "final_answer": "19848", "answer_type": "integer", "kind": "expression", "math_text": "-715 - (-859 * (-5 - (-29)) - (-53))", "variable": null, "family": "expression_4op", "shape": "(- n (- (* n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -715, \"b\": -859, \"c\": -5, \"d\": -29, \"e\": -53}", "seed": "12160378826713501516", "semantic_fingerprint": "sha256:c37578e2397e1444ce01f8094a45474e538065e001be8d7f654b9f0ceb899c1c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004148", "prompt": "What value of x satisfies 5(x + 47) + 5 = 11(x + 102) - 942?", "solution_steps": ["Expand: 5x + 235 + 5 = 11(x + 102) - 942", "Expand: 5x + 235 + 5 = 11x + 1122 - 942", "Combine constants: 5x + 240 = 11x + 1122 - 942", "Combine constants: 5x + 240 = 11x + 180", "Subtract 11x from both sides: -6x + 240 = 180", "Subtract 240 from both sides: -6x = -60", "Divide both sides by -6: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 47) + 5 = 11(x + 102) - 942", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 47, \"c\": 5, \"d\": 11, \"e\": 102, \"g\": -942, \"x\": 10}", "seed": "4591261430251532402", "semantic_fingerprint": "sha256:df3566128382c9bd979ae5d559a8d1a6c1ddfabf12fa6e4be73c4a02214a3a6c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004149", "prompt": "What value of x satisfies 12(x + 5) - 5 = x - 11?", "solution_steps": ["Expand: 12x + 60 - 5 = x - 11", "Combine constants: 12x + 55 = x - 11", "Subtract x from both sides: 11x + 55 = -11", "Subtract 55 from both sides: 11x = -66", "Divide both sides by 11: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 5) - 5 = x - 11", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 5, \"e\": -11, \"x\": -6}", "seed": "10281331316181394375", "semantic_fingerprint": "sha256:a7da2140ef1d4dbec4fc9384d64097edaeddd0d96b62871b0027ef0c4b33f100", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004150", "prompt": "Evaluate: -46 - (51 * 73 + 95)", "solution_steps": ["Multiply: 51 * 73 = 3723", "Add: 3723 + 95 = 3818", "Subtract: -46 - 3818 = -3864"], "final_answer": "-3864", "answer_type": "integer", "kind": "expression", "math_text": "-46 - (51 * 73 + 95)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": 51, \"c\": 73, \"d\": 95}", "seed": "4552321816364398945", "semantic_fingerprint": "sha256:9a4c41a10f5301d2ac1c22a9e13df67f1d8caae945bf29a629cbfccfd2591acb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004151", "prompt": "Evaluate: -27 - (72 * 653 + (-70))", "solution_steps": ["Multiply: 72 * 653 = 47016", "Add: 47016 + (-70) = 46946", "Subtract: -27 - 46946 = -46973"], "final_answer": "-46973", "answer_type": "integer", "kind": "expression", "math_text": "-27 - (72 * 653 + (-70))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": 72, \"c\": 653, \"d\": -70}", "seed": "8421979283397489528", "semantic_fingerprint": "sha256:8090bd8b1396aa9d7678be8607c878d541b5bba06d7d37bfb39116520fb1def7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004152", "prompt": "Calculate: -75 + (-97 + (-6)) - (7 + (68 - 1))", "solution_steps": ["Add: -97 + (-6) = -103", "Add: -75 + (-103) = -178", "Subtract: 68 - 1 = 67", "Add: 7 + 67 = 74", "Subtract: -178 - 74 = -252"], "final_answer": "-252", "answer_type": "integer", "kind": "expression", "math_text": "-75 + (-97 + (-6)) - (7 + (68 - 1))", "variable": null, "family": "expression_5op", "shape": "(- (+ n (+ n n)) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -97, \"c\": -6, \"d\": 7, \"e\": 68, \"f\": 1}", "seed": "14312113359717082445", "semantic_fingerprint": "sha256:1de992332b30e5af2ee163a67e8030a6321a3cccf9f16f5c86513beaf49fa298", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004153", "prompt": "Find x: -7(x - 4) + 6 = -5x + 70", "solution_steps": ["Expand: -7x + 28 + 6 = -5x + 70", "Combine constants: -7x + 34 = -5x + 70", "Add 5x to both sides: -2x + 34 = 70", "Subtract 34 from both sides: -2x = 36", "Divide both sides by -2: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 4) + 6 = -5x + 70", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 4, \"c\": 6, \"d\": -5, \"f\": 70, \"x\": -18}", "seed": "5073938862629841929", "semantic_fingerprint": "sha256:8966ac7139785a96b40fbfe228d874bc2422578285a67a1d213a92f55835bbc7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004154", "prompt": "What is 353 - (-6 * 8 + (-1))?", "solution_steps": ["Multiply: -6 * 8 = -48", "Add: -48 + (-1) = -49", "Subtract: 353 - (-49) = 402"], "final_answer": "402", "answer_type": "integer", "kind": "expression", "math_text": "353 - (-6 * 8 + (-1))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 353, \"b\": -6, \"c\": 8, \"d\": -1}", "seed": "1152267437687879998", "semantic_fingerprint": "sha256:6e6364206eb7a09b41758e4f4c17c9c06a83ad8da784268bf14809cc0cab3f1c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004155", "prompt": "Evaluate: 789 + 64 / 77 / 7", "solution_steps": ["Divide: 64 / 77 = 64/77", "Divide: (64/77) / 7 = 64/539", "Add: 789 + 64/539 = 425335/539"], "final_answer": "425335/539", "answer_type": "rational", "kind": "expression", "math_text": "789 + 64 / 77 / 7", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 789, \"b\": 64, \"c\": 77, \"d\": 7}", "seed": "13497192759010768580", "semantic_fingerprint": "sha256:a04c5aa48b2ca42e5113aa381094850841461fc4c33551e8db3d37a391dd8d6f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004156", "prompt": "Compute: -48 / (28 * (-828)) + (-87) / (-3) + 728", "solution_steps": ["Multiply: 28 * (-828) = -23184", "Divide: -48 / (-23184) = 1/483", "Divide: -87 / (-3) = 29", "Add: 1/483 + 29 = 14008/483", "Add: 14008/483 + 728 = 365632/483"], "final_answer": "365632/483", "answer_type": "rational", "kind": "expression", "math_text": "-48 / (28 * (-828)) + (-87) / (-3) + 728", "variable": null, "family": "expression_5op", "shape": "(+ (+ (/ n (* n n)) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": 28, \"c\": -828, \"d\": -87, \"e\": -3, \"f\": 728}", "seed": "773148515405791424", "semantic_fingerprint": "sha256:79b01de181bb8c6116c8b7e8e9a768b0115e20cf22ea3aefdf9056c23bf523c9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004157", "prompt": "Compute: 577 / 3 + (55 - 496 - 6)", "solution_steps": ["Divide: 577 / 3 = 577/3", "Subtract: 55 - 496 = -441", "Subtract: -441 - 6 = -447", "Add: 577/3 + (-447) = -764/3"], "final_answer": "-764/3", "answer_type": "rational", "kind": "expression", "math_text": "577 / 3 + (55 - 496 - 6)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 577, \"b\": 3, \"c\": 55, \"d\": 496, \"e\": 6}", "seed": "18204614830534336222", "semantic_fingerprint": "sha256:94d27c33a0f424a7682ed5e2690e09bed641b023bf5137707d6efa3a7512b93c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004158", "prompt": "What is -749 * (-521 / 31) - (-8) * (-12) / 1?", "solution_steps": ["Divide: -521 / 31 = -521/31", "Multiply: -749 * (-521/31) = 390229/31", "Multiply: -8 * (-12) = 96", "Divide: 96 / 1 = 96", "Subtract: 390229/31 - 96 = 387253/31"], "final_answer": "387253/31", "answer_type": "rational", "kind": "expression", "math_text": "-749 * (-521 / 31) - (-8) * (-12) / 1", "variable": null, "family": "expression_5op", "shape": "(- (* n (/ n n)) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -749, \"b\": -521, \"c\": 31, \"d\": -8, \"e\": -12, \"f\": 1}", "seed": "3603970870866060638", "semantic_fingerprint": "sha256:eddcdba9f1da9ef570facf33128a01a69c8f4888f8bf715ba52b6128e305b049", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004159", "prompt": "Compute: (-24 + (-6) + 451) / (93 / (-4))", "solution_steps": ["Add: -24 + (-6) = -30", "Add: -30 + 451 = 421", "Divide: 93 / (-4) = -93/4", "Divide: 421 / (-93/4) = -1684/93"], "final_answer": "-1684/93", "answer_type": "rational", "kind": "expression", "math_text": "(-24 + (-6) + 451) / (93 / (-4))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": -6, \"c\": 451, \"d\": 93, \"e\": -4}", "seed": "283396183464227801", "semantic_fingerprint": "sha256:e1604e2e9429082144fa197f51d0da18b697249d919ee2b830772ee34690b15b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004160", "prompt": "What is (263 + 47 + 18) / (-37 / 2)?", "solution_steps": ["Add: 263 + 47 = 310", "Add: 310 + 18 = 328", "Divide: -37 / 2 = -37/2", "Divide: 328 / (-37/2) = -656/37"], "final_answer": "-656/37", "answer_type": "rational", "kind": "expression", "math_text": "(263 + 47 + 18) / (-37 / 2)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 263, \"b\": 47, \"c\": 18, \"d\": -37, \"e\": 2}", "seed": "4674933091537066209", "semantic_fingerprint": "sha256:e81d2fa2a1dae382471f29c10d6248c2cac81ce52c8363ef0f7f5c8109a957ba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004161", "prompt": "What value of x satisfies -12(x - 9) + 7 = 11(x + 28) - 262?", "solution_steps": ["Expand: -12x + 108 + 7 = 11(x + 28) - 262", "Expand: -12x + 108 + 7 = 11x + 308 - 262", "Combine constants: -12x + 115 = 11x + 308 - 262", "Combine constants: -12x + 115 = 11x + 46", "Subtract 11x from both sides: -23x + 115 = 46", "Subtract 115 from both sides: -23x = -69", "Divide both sides by -23: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 9) + 7 = 11(x + 28) - 262", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 9, \"c\": 7, \"d\": 11, \"e\": 28, \"g\": -262, \"x\": 3}", "seed": "873169691601332446", "semantic_fingerprint": "sha256:e94064546eb108afd1d110fba1ea26869b4be70014f6ff8fea644ef0897763ea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004162", "prompt": "Evaluate: (-47 + (-92)) / (1 * (-74 * (-87)))", "solution_steps": ["Add: -47 + (-92) = -139", "Multiply: -74 * (-87) = 6438", "Multiply: 1 * 6438 = 6438", "Divide: -139 / 6438 = -139/6438"], "final_answer": "-139/6438", "answer_type": "rational", "kind": "expression", "math_text": "(-47 + (-92)) / (1 * (-74 * (-87)))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": -92, \"c\": 1, \"d\": -74, \"e\": -87}", "seed": "15094882099780733305", "semantic_fingerprint": "sha256:ef012f41c945066145f6a29e6ed5b97dda4233b837915d2975c5f1ac9bddd56d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004163", "prompt": "Solve the equation -7(x - 2) - 9 = 11(x - 4) - 113 for x.", "solution_steps": ["Expand: -7x + 14 - 9 = 11(x - 4) - 113", "Expand: -7x + 14 - 9 = 11x - 44 - 113", "Combine constants: -7x + 5 = 11x - 44 - 113", "Combine constants: -7x + 5 = 11x - 157", "Subtract 11x from both sides: -18x + 5 = -157", "Subtract 5 from both sides: -18x = -162", "Divide both sides by -18: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 2) - 9 = 11(x - 4) - 113", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 2, \"c\": 9, \"d\": 11, \"e\": 4, \"g\": -113, \"x\": 9}", "seed": "8385601786178700728", "semantic_fingerprint": "sha256:c182fa6b6a5f9da352c9fa56675cf0ef5cc88a59ecbf1365e9491ef53d159bb6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004164", "prompt": "Calculate: 22 / (2 * 4 / 440)", "solution_steps": ["Multiply: 2 * 4 = 8", "Divide: 8 / 440 = 1/55", "Divide: 22 / (1/55) = 1210"], "final_answer": "1210", "answer_type": "integer", "kind": "expression", "math_text": "22 / (2 * 4 / 440)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": 2, \"c\": 4, \"d\": 440}", "seed": "6147731506314508951", "semantic_fingerprint": "sha256:dbc4e0ccfdf2939478e1aae48b39846b8624fc5ee2447629b76ca1c3fba71c7e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004165", "prompt": "Solve for x: -6(x - 8) - 19 = -5(x - 38) - 181", "solution_steps": ["Expand: -6x + 48 - 19 = -5(x - 38) - 181", "Expand: -6x + 48 - 19 = -5x + 190 - 181", "Combine constants: -6x + 29 = -5x + 190 - 181", "Combine constants: -6x + 29 = -5x + 9", "Add 5x to both sides: -x + 29 = 9", "Subtract 29 from both sides: -x = -20", "Divide both sides by -1: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 8) - 19 = -5(x - 38) - 181", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 8, \"c\": 19, \"d\": -5, \"e\": 38, \"g\": -181, \"x\": 20}", "seed": "3772665461957181837", "semantic_fingerprint": "sha256:6180883acc2bd6fc51812de4362c52cbf49c25a32cd5161377269a5838f2b754", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004166", "prompt": "Compute: -5 * (17 + 64 + (-136)) + (34 - (-216))", "solution_steps": ["Add: 17 + 64 = 81", "Add: 81 + (-136) = -55", "Multiply: -5 * (-55) = 275", "Subtract: 34 - (-216) = 250", "Add: 275 + 250 = 525"], "final_answer": "525", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (17 + 64 + (-136)) + (34 - (-216))", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ (+ n n) n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 17, \"c\": 64, \"d\": -136, \"e\": 34, \"f\": -216}", "seed": "13471256123495085414", "semantic_fingerprint": "sha256:f6bee4164e644f0f1ab6c1cfa0e05fc7d2286e1d0bd79ebcdc5e1302f2641695", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004167", "prompt": "Calculate: -87 - (-81 - (31 - (-43)))", "solution_steps": ["Subtract: 31 - (-43) = 74", "Subtract: -81 - 74 = -155", "Subtract: -87 - (-155) = 68"], "final_answer": "68", "answer_type": "integer", "kind": "expression", "math_text": "-87 - (-81 - (31 - (-43)))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": -81, \"c\": 31, \"d\": -43}", "seed": "16933533395499049430", "semantic_fingerprint": "sha256:72e9f1c5bb0f02034ed21bd4327435f68df0813141a3240f82423f2c7318747d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004168", "prompt": "Find x: -4(x + 4) - 820 = x - 846", "solution_steps": ["Expand: -4x - 16 - 820 = x - 846", "Combine constants: -4x - 836 = x - 846", "Subtract x from both sides: -5x - 836 = -846", "Add 836 to both sides: -5x = -10", "Divide both sides by -5: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 4) - 820 = x - 846", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 4, \"c\": 820, \"e\": -846, \"x\": 2}", "seed": "2380659611264196226", "semantic_fingerprint": "sha256:713b3c7d3488d74769ea9259ae759c62fcbd41dd2467690788b416a6ac0c6277", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004169", "prompt": "What is 18 * ((99 - (-88) + 0 - 86) * (-78))?", "solution_steps": ["Subtract: 99 - (-88) = 187", "Add: 187 + 0 = 187", "Subtract: 187 - 86 = 101", "Multiply: 101 * (-78) = -7878", "Multiply: 18 * (-7878) = -141804"], "final_answer": "-141804", "answer_type": "integer", "kind": "expression", "math_text": "18 * ((99 - (-88) + 0 - 86) * (-78))", "variable": null, "family": "expression_5op", "shape": "(* n (* (- (+ (- n n) n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 99, \"c\": -88, \"d\": 0, \"e\": 86, \"f\": -78}", "seed": "10753688571611865346", "semantic_fingerprint": "sha256:f44abe966f7d833ece88d10d37c5f8e2f702d9c9963a6b2fb2a2887b942201d0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004170", "prompt": "Compute: (27 + (-2) * (-6)) * (317 * (-32))", "solution_steps": ["Multiply: -2 * (-6) = 12", "Add: 27 + 12 = 39", "Multiply: 317 * (-32) = -10144", "Multiply: 39 * (-10144) = -395616"], "final_answer": "-395616", "answer_type": "integer", "kind": "expression", "math_text": "(27 + (-2) * (-6)) * (317 * (-32))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": -2, \"c\": -6, \"d\": 317, \"e\": -32}", "seed": "10803665715704510823", "semantic_fingerprint": "sha256:6fdd4f4a9ff84ee8e711b8216e0bb0914669fe0056e6f33feb267190aee2e838", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004171", "prompt": "Solve for x: 8(x - 217) + 602 = 7x + 369", "solution_steps": ["Expand: 8x - 1736 + 602 = 7x + 369", "Combine constants: 8x - 1134 = 7x + 369", "Subtract 7x from both sides: x - 1134 = 369", "Add 1134 to both sides: x = 1503"], "final_answer": "1503", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 217) + 602 = 7x + 369", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 217, \"c\": 602, \"d\": 7, \"e\": 369}", "seed": "14250090901505956966", "semantic_fingerprint": "sha256:7d46076f24c75eca246e75486e1de04049ad596a40e24c92b450fe13378c5eab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004172", "prompt": "What is -73 + (-4) - (-1 + (-760) * (-83))?", "solution_steps": ["Add: -73 + (-4) = -77", "Multiply: -760 * (-83) = 63080", "Add: -1 + 63080 = 63079", "Subtract: -77 - 63079 = -63156"], "final_answer": "-63156", "answer_type": "integer", "kind": "expression", "math_text": "-73 + (-4) - (-1 + (-760) * (-83))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": -4, \"c\": -1, \"d\": -760, \"e\": -83}", "seed": "8983695651761020104", "semantic_fingerprint": "sha256:fed21293c3b78e3946f9342ad07c5a2da4072004744c2ed67a06d3365743792b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004173", "prompt": "Evaluate: (17 - (-288)) * (-4 / (-6))", "solution_steps": ["Subtract: 17 - (-288) = 305", "Divide: -4 / (-6) = 2/3", "Multiply: 305 * (2/3) = 610/3"], "final_answer": "610/3", "answer_type": "rational", "kind": "expression", "math_text": "(17 - (-288)) * (-4 / (-6))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": -288, \"c\": -4, \"d\": -6}", "seed": "1302767510454305854", "semantic_fingerprint": "sha256:98b60ebaa06a3ecf2897f2dfe6bc5f5e4aba95b3d9558b4f66ed3e3ab8964c82", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004174", "prompt": "Evaluate: -7 - (-7 * (-41 / (-8)) + 9)", "solution_steps": ["Divide: -41 / (-8) = 41/8", "Multiply: -7 * (41/8) = -287/8", "Add: -287/8 + 9 = -215/8", "Subtract: -7 - (-215/8) = 159/8"], "final_answer": "159/8", "answer_type": "rational", "kind": "expression", "math_text": "-7 - (-7 * (-41 / (-8)) + 9)", "variable": null, "family": "expression_4op", "shape": "(- n (+ (* n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -7, \"c\": -41, \"d\": -8, \"e\": 9}", "seed": "4650896654676995339", "semantic_fingerprint": "sha256:0ef6cc97e8a647a9b4dae652a0231e11c988f9a702067a925cad08cb440416d2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004175", "prompt": "What value of x satisfies -2(x - 2) + 7 = 6(x + 175) - 935?", "solution_steps": ["Expand: -2x + 4 + 7 = 6(x + 175) - 935", "Expand: -2x + 4 + 7 = 6x + 1050 - 935", "Combine constants: -2x + 11 = 6x + 1050 - 935", "Combine constants: -2x + 11 = 6x + 115", "Subtract 6x from both sides: -8x + 11 = 115", "Subtract 11 from both sides: -8x = 104", "Divide both sides by -8: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 2) + 7 = 6(x + 175) - 935", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 2, \"c\": 7, \"d\": 6, \"e\": 175, \"g\": -935, \"x\": -13}", "seed": "7814965309954930243", "semantic_fingerprint": "sha256:f2e4bc124f82b33dce60bf61d76f590bc138f5a65692548fe72af7c79cdd91ee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004176", "prompt": "What is 17 - (-25 / (2 + 8) + (-3)) + (-3)?", "solution_steps": ["Add: 2 + 8 = 10", "Divide: -25 / 10 = -5/2", "Add: -5/2 + (-3) = -11/2", "Subtract: 17 - (-11/2) = 45/2", "Add: 45/2 + (-3) = 39/2"], "final_answer": "39/2", "answer_type": "rational", "kind": "expression", "math_text": "17 - (-25 / (2 + 8) + (-3)) + (-3)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (+ (/ n (+ n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": -25, \"c\": 2, \"d\": 8, \"e\": -3, \"f\": -3}", "seed": "10667602863762876004", "semantic_fingerprint": "sha256:1a7d93c042264248c4474249c4786dd792964787d47c71a7c9b2eb72d9228ec2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004177", "prompt": "Compute: -1 - 3 * (-6) - 8 * (903 * (-4))", "solution_steps": ["Multiply: 3 * (-6) = -18", "Subtract: -1 - (-18) = 17", "Multiply: 903 * (-4) = -3612", "Multiply: 8 * (-3612) = -28896", "Subtract: 17 - (-28896) = 28913"], "final_answer": "28913", "answer_type": "integer", "kind": "expression", "math_text": "-1 - 3 * (-6) - 8 * (903 * (-4))", "variable": null, "family": "expression_5op", "shape": "(- (- n (* n n)) (* n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 3, \"c\": -6, \"d\": 8, \"e\": 903, \"f\": -4}", "seed": "15459115541149081334", "semantic_fingerprint": "sha256:3fdbaed89d8e756fa1a86927330dbe549349d45cc1abb44877b8e0f570949462", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004178", "prompt": "Evaluate: 2 / 94 + (-22) / 17", "solution_steps": ["Divide: 2 / 94 = 1/47", "Divide: -22 / 17 = -22/17", "Add: 1/47 + (-22/17) = -1017/799"], "final_answer": "-1017/799", "answer_type": "rational", "kind": "expression", "math_text": "2 / 94 + (-22) / 17", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 94, \"c\": -22, \"d\": 17}", "seed": "16410396769626525036", "semantic_fingerprint": "sha256:e20559eaf04a2fa333c5d6ffa5a6eef2f85ebc642120e81b40ffbf33baff3a78", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004179", "prompt": "Find x: 3(x - 151) + 226 = -5x + 979", "solution_steps": ["Expand: 3x - 453 + 226 = -5x + 979", "Combine constants: 3x - 227 = -5x + 979", "Add 5x to both sides: 8x - 227 = 979", "Add 227 to both sides: 8x = 1206", "Divide both sides by 8: x = 603/4"], "final_answer": "603/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 151) + 226 = -5x + 979", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 151, \"c\": 226, \"d\": -5, \"e\": 979}", "seed": "3780926008896841705", "semantic_fingerprint": "sha256:c51647f2e1aaeed555eb9a55b894cdc95ebfe8242982e7109232aa44e8163e45", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004180", "prompt": "Find x: 6(x - 39) + 17 = 5(x - 7)", "solution_steps": ["Expand: 6x - 234 + 17 = 5(x - 7)", "Expand: 6x - 234 + 17 = 5x - 35", "Combine constants: 6x - 217 = 5x - 35", "Subtract 5x from both sides: x - 217 = -35", "Add 217 to both sides: x = 182"], "final_answer": "182", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 39) + 17 = 5(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 39, \"c\": 17, \"d\": 5, \"e\": 7}", "seed": "8786091488187556943", "semantic_fingerprint": "sha256:6f2ecff525ecc3932daeac43b57c973a8bdcdc9547493c8d89d3259d29a29f75", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004181", "prompt": "Find x: -9(x - 54) + 7 = 5x + 255", "solution_steps": ["Expand: -9x + 486 + 7 = 5x + 255", "Combine constants: -9x + 493 = 5x + 255", "Subtract 5x from both sides: -14x + 493 = 255", "Subtract 493 from both sides: -14x = -238", "Divide both sides by -14: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 54) + 7 = 5x + 255", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 54, \"c\": 7, \"d\": 5, \"f\": 255, \"x\": 17}", "seed": "7351528932223782916", "semantic_fingerprint": "sha256:e99ed44540feeeeb658519bc072e568d3aaadf26f7811fd24647bea37c875c61", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004182", "prompt": "Find x: -3x - 6 = 9(x + 483) + 379", "solution_steps": ["Expand: -3x - 6 = 9x + 4347 + 379", "Combine constants: -3x - 6 = 9x + 4726", "Subtract 9x from both sides: -12x - 6 = 4726", "Add 6 to both sides: -12x = 4732", "Divide both sides by -12: x = -1183/3"], "final_answer": "-1183/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x - 6 = 9(x + 483) + 379", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 6, \"c\": 9, \"d\": 483, \"e\": 379}", "seed": "17951733281507804847", "semantic_fingerprint": "sha256:41b986ca7acca03a0e9269c32cfe6089e8687f3f89f97fadbd32c3cfd940c83e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004183", "prompt": "Find x: 4(x + 92) - 30 = x - 15", "solution_steps": ["Expand: 4x + 368 - 30 = x - 15", "Combine constants: 4x + 338 = x - 15", "Subtract x from both sides: 3x + 338 = -15", "Subtract 338 from both sides: 3x = -353", "Divide both sides by 3: x = -353/3"], "final_answer": "-353/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 92) - 30 = x - 15", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 92, \"c\": 30, \"d\": 15}", "seed": "13930940424309951554", "semantic_fingerprint": "sha256:c91e21a8431b01fa7eab02f9ff98c144bab51a4c24a300fd55a749e7d74c5756", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004184", "prompt": "What value of x satisfies 3(x + 526) + 29 = 6(x + 987) - 52?", "solution_steps": ["Expand: 3x + 1578 + 29 = 6(x + 987) - 52", "Expand: 3x + 1578 + 29 = 6x + 5922 - 52", "Combine constants: 3x + 1607 = 6x + 5922 - 52", "Combine constants: 3x + 1607 = 6x + 5870", "Subtract 6x from both sides: -3x + 1607 = 5870", "Subtract 1607 from both sides: -3x = 4263", "Divide both sides by -3: x = -1421"], "final_answer": "-1421", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 526) + 29 = 6(x + 987) - 52", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 526, \"c\": 29, \"d\": 6, \"e\": 987, \"f\": 52}", "seed": "3294345647055378894", "semantic_fingerprint": "sha256:9c96eaf1e5c3c77289ad180607024ae3b60cfc0a320b46a4bd0e62b28b26d7c8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004185", "prompt": "What is -5 / 6 + (-3) + (-505) - (-4) + (-894)?", "solution_steps": ["Divide: -5 / 6 = -5/6", "Add: -5/6 + (-3) = -23/6", "Add: -23/6 + (-505) = -3053/6", "Subtract: -3053/6 - (-4) = -3029/6", "Add: -3029/6 + (-894) = -8393/6"], "final_answer": "-8393/6", "answer_type": "rational", "kind": "expression", "math_text": "-5 / 6 + (-3) + (-505) - (-4) + (-894)", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ (+ (/ n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 6, \"c\": -3, \"d\": -505, \"e\": -4, \"f\": -894}", "seed": "13999613652211398886", "semantic_fingerprint": "sha256:8f0b301c25d7d05d5aad53d5cea6b10786a249d0534ff9979cda8ec163b3df44", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004186", "prompt": "Evaluate: 3 * (-4) / 43 / (16 / 8)", "solution_steps": ["Multiply: 3 * (-4) = -12", "Divide: -12 / 43 = -12/43", "Divide: 16 / 8 = 2", "Divide: (-12/43) / 2 = -6/43"], "final_answer": "-6/43", "answer_type": "rational", "kind": "expression", "math_text": "3 * (-4) / 43 / (16 / 8)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -4, \"c\": 43, \"d\": 16, \"e\": 8}", "seed": "10178634555563608024", "semantic_fingerprint": "sha256:a38c40b8b72c006c305363be154c4b89a5b2c1f9b6f0c9e85b196c942fbc4bc4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004187", "prompt": "What value of x satisfies 3(x - 1) - 78 = 4(x - 953) - 7?", "solution_steps": ["Expand: 3x - 3 - 78 = 4(x - 953) - 7", "Expand: 3x - 3 - 78 = 4x - 3812 - 7", "Combine constants: 3x - 81 = 4x - 3812 - 7", "Combine constants: 3x - 81 = 4x - 3819", "Subtract 4x from both sides: -x - 81 = -3819", "Add 81 to both sides: -x = -3738", "Divide both sides by -1: x = 3738"], "final_answer": "3738", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 1) - 78 = 4(x - 953) - 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 1, \"c\": 78, \"d\": 4, \"e\": 953, \"f\": 7}", "seed": "18008686435246781228", "semantic_fingerprint": "sha256:e6326c2af78bcad97e504fa5b34917b020786826132548af4a1a00a092aaf90b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004188", "prompt": "Calculate: 55 / 6 + (-577) / (-2)", "solution_steps": ["Divide: 55 / 6 = 55/6", "Divide: -577 / (-2) = 577/2", "Add: 55/6 + 577/2 = 893/3"], "final_answer": "893/3", "answer_type": "rational", "kind": "expression", "math_text": "55 / 6 + (-577) / (-2)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 6, \"c\": -577, \"d\": -2}", "seed": "5062409334797990122", "semantic_fingerprint": "sha256:20610eb24b25a6843fdede8d5c0dccb4589610d632f9fbfabd248517181b3999", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004189", "prompt": "Compute: 0 - (-35 * 37 * 2 + 1 * 8)", "solution_steps": ["Multiply: -35 * 37 = -1295", "Multiply: -1295 * 2 = -2590", "Multiply: 1 * 8 = 8", "Add: -2590 + 8 = -2582", "Subtract: 0 - (-2582) = 2582"], "final_answer": "2582", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-35 * 37 * 2 + 1 * 8)", "variable": null, "family": "expression_5op", "shape": "(- n (+ (* (* n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -35, \"c\": 37, \"d\": 2, \"e\": 1, \"f\": 8}", "seed": "5420922105190159559", "semantic_fingerprint": "sha256:b4a9aa3f0c79ec3cf02ba4b3fa012f7fdd626ea0004b3c7b67c7aa9027457478", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004190", "prompt": "What value of x satisfies 3(x - 25) + 102 = 11x + 163?", "solution_steps": ["Expand: 3x - 75 + 102 = 11x + 163", "Combine constants: 3x + 27 = 11x + 163", "Subtract 11x from both sides: -8x + 27 = 163", "Subtract 27 from both sides: -8x = 136", "Divide both sides by -8: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 25) + 102 = 11x + 163", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 25, \"c\": 102, \"d\": 11, \"f\": 163, \"x\": -17}", "seed": "559519912414816860", "semantic_fingerprint": "sha256:3589699f4a3e76f63caf63c5dd7310c801f5ecae667648942f420276265ecf30", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004191", "prompt": "What is -22 * 71 / 56 / 55?", "solution_steps": ["Multiply: -22 * 71 = -1562", "Divide: -1562 / 56 = -781/28", "Divide: (-781/28) / 55 = -71/140"], "final_answer": "-71/140", "answer_type": "rational", "kind": "expression", "math_text": "-22 * 71 / 56 / 55", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": 71, \"c\": 56, \"d\": 55}", "seed": "3842187560507201340", "semantic_fingerprint": "sha256:853cdb77752e6426995324994ee5e5805ba423f0e1d4f4be38098509f3ee7d68", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004192", "prompt": "What value of x satisfies x - 28 = 11(x - 48) + 2?", "solution_steps": ["Expand: x - 28 = 11x - 528 + 2", "Combine constants: x - 28 = 11x - 526", "Subtract 11x from both sides: -10x - 28 = -526", "Add 28 to both sides: -10x = -498", "Divide both sides by -10: x = 249/5"], "final_answer": "249/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 28 = 11(x - 48) + 2", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 11, \"c\": 48, \"d\": 2}", "seed": "7299022939554344227", "semantic_fingerprint": "sha256:839cf75a4633fd0c861b436443a806314afc1a263d98a487656a9164c6fa0cca", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004193", "prompt": "Compute: 267 + (-80) - (-956 + 61)", "solution_steps": ["Add: 267 + (-80) = 187", "Add: -956 + 61 = -895", "Subtract: 187 - (-895) = 1082"], "final_answer": "1082", "answer_type": "integer", "kind": "expression", "math_text": "267 + (-80) - (-956 + 61)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 267, \"b\": -80, \"c\": -956, \"d\": 61}", "seed": "6503615132943605403", "semantic_fingerprint": "sha256:e0ce6d64a4945ab7746cc268f7067a00f1c153e7cc7bb3da6e8b0ee64bae2a13", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004194", "prompt": "Calculate: -62 - (-91) / (1 + (-61)) * (-8 + 59)", "solution_steps": ["Add: 1 + (-61) = -60", "Divide: -91 / (-60) = 91/60", "Add: -8 + 59 = 51", "Multiply: (91/60) * 51 = 1547/20", "Subtract: -62 - 1547/20 = -2787/20"], "final_answer": "-2787/20", "answer_type": "rational", "kind": "expression", "math_text": "-62 - (-91) / (1 + (-61)) * (-8 + 59)", "variable": null, "family": "expression_5op", "shape": "(- n (* (/ n (+ n n)) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -91, \"c\": 1, \"d\": -61, \"e\": -8, \"f\": 59}", "seed": "6990507935838679212", "semantic_fingerprint": "sha256:0a6f76b29419fe178c13921c1ace512ccfb24de3e0a3d8fe0e3118ea2eb80475", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004195", "prompt": "Find x: 4(x - 9) - 90 = 8(x - 2) - 162", "solution_steps": ["Expand: 4x - 36 - 90 = 8(x - 2) - 162", "Expand: 4x - 36 - 90 = 8x - 16 - 162", "Combine constants: 4x - 126 = 8x - 16 - 162", "Combine constants: 4x - 126 = 8x - 178", "Subtract 8x from both sides: -4x - 126 = -178", "Add 126 to both sides: -4x = -52", "Divide both sides by -4: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 9) - 90 = 8(x - 2) - 162", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 90, \"d\": 8, \"e\": 2, \"g\": -162, \"x\": 13}", "seed": "5693091358063292998", "semantic_fingerprint": "sha256:03bf99479e0b325fe3bbba6d20bc4e43379f067069288794d2c4cf94bf2c7e99", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004196", "prompt": "Calculate: (89 + 572 + 1) * 777", "solution_steps": ["Add: 89 + 572 = 661", "Add: 661 + 1 = 662", "Multiply: 662 * 777 = 514374"], "final_answer": "514374", "answer_type": "integer", "kind": "expression", "math_text": "(89 + 572 + 1) * 777", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": 572, \"c\": 1, \"d\": 777}", "seed": "14702622613344693886", "semantic_fingerprint": "sha256:c0c0fbb67aa777c4991b5a5ba26bcfb7485941a53dadf3f39bde74f3a539507b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004197", "prompt": "Solve for x: -11(x - 24) = 5x - 5", "solution_steps": ["Expand: -11x + 264 = 5x - 5", "Subtract 5x from both sides: -16x + 264 = -5", "Subtract 264 from both sides: -16x = -269", "Divide both sides by -16: x = 269/16"], "final_answer": "269/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 24) = 5x - 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 24, \"c\": 5, \"d\": 5}", "seed": "16485780536349820627", "semantic_fingerprint": "sha256:ccdd9235125f7973219f541cb8c85516627569364d2dc870602053a8bdfdd97d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004198", "prompt": "Solve for x: -2(x - 13) - 208 = 6(x - 57)", "solution_steps": ["Expand: -2x + 26 - 208 = 6(x - 57)", "Expand: -2x + 26 - 208 = 6x - 342", "Combine constants: -2x - 182 = 6x - 342", "Subtract 6x from both sides: -8x - 182 = -342", "Add 182 to both sides: -8x = -160", "Divide both sides by -8: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 13) - 208 = 6(x - 57)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 13, \"c\": 6, \"d\": 57, \"f\": -208, \"x\": 20}", "seed": "6144042317325710067", "semantic_fingerprint": "sha256:3599125e3a09d131567292bb459ca3b2f417f3c2e8d2903f9d2b754553f9fe62", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004199", "prompt": "What value of x satisfies -5(x - 57) + 25 = 10(x + 89) - 460?", "solution_steps": ["Expand: -5x + 285 + 25 = 10(x + 89) - 460", "Expand: -5x + 285 + 25 = 10x + 890 - 460", "Combine constants: -5x + 310 = 10x + 890 - 460", "Combine constants: -5x + 310 = 10x + 430", "Subtract 10x from both sides: -15x + 310 = 430", "Subtract 310 from both sides: -15x = 120", "Divide both sides by -15: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 57) + 25 = 10(x + 89) - 460", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 57, \"c\": 25, \"d\": 10, \"e\": 89, \"g\": -460, \"x\": -8}", "seed": "6660459515488627988", "semantic_fingerprint": "sha256:6b7e04b5b6f5ac6815d626c3c874fe586d0091b27937e5375d85ddd22dfb0838", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004200", "prompt": "Find x: -5(x + 62) - 5 = x - 321", "solution_steps": ["Expand: -5x - 310 - 5 = x - 321", "Combine constants: -5x - 315 = x - 321", "Subtract x from both sides: -6x - 315 = -321", "Add 315 to both sides: -6x = -6", "Divide both sides by -6: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 62) - 5 = x - 321", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 62, \"c\": 5, \"e\": -321, \"x\": 1}", "seed": "10289705186330570424", "semantic_fingerprint": "sha256:b5a6d2643804ba6c4c383e73e4895090167fc7e0c1fe606acfb5109b1597f0ee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004201", "prompt": "Solve the equation 2(x - 10) + 631 = 11(x + 66) - 84 for x.", "solution_steps": ["Expand: 2x - 20 + 631 = 11(x + 66) - 84", "Expand: 2x - 20 + 631 = 11x + 726 - 84", "Combine constants: 2x + 611 = 11x + 726 - 84", "Combine constants: 2x + 611 = 11x + 642", "Subtract 11x from both sides: -9x + 611 = 642", "Subtract 611 from both sides: -9x = 31", "Divide both sides by -9: x = -31/9"], "final_answer": "-31/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 10) + 631 = 11(x + 66) - 84", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 10, \"c\": 631, \"d\": 11, \"e\": 66, \"f\": 84}", "seed": "3998764597310366067", "semantic_fingerprint": "sha256:03ddc1f5b156a97b56f5de6cb594fc82cd1d89ffdaa120a54dbbb710002392de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004202", "prompt": "What is -670 - (-82 - (112 - (-55)))?", "solution_steps": ["Subtract: 112 - (-55) = 167", "Subtract: -82 - 167 = -249", "Subtract: -670 - (-249) = -421"], "final_answer": "-421", "answer_type": "integer", "kind": "expression", "math_text": "-670 - (-82 - (112 - (-55)))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -670, \"b\": -82, \"c\": 112, \"d\": -55}", "seed": "10606906931758644914", "semantic_fingerprint": "sha256:3b983143ec3862d87a64db11d865653ad20622f78e45f4637d1beb930b8a3327", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004203", "prompt": "Calculate: (-9 - (-7) + (-588)) * 72", "solution_steps": ["Subtract: -9 - (-7) = -2", "Add: -2 + (-588) = -590", "Multiply: -590 * 72 = -42480"], "final_answer": "-42480", "answer_type": "integer", "kind": "expression", "math_text": "(-9 - (-7) + (-588)) * 72", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -7, \"c\": -588, \"d\": 72}", "seed": "5970441587603593201", "semantic_fingerprint": "sha256:2f3aa7a22dc09d7e9d13d6de5aab3ae40af10e7414be637b469346418e440f18", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004204", "prompt": "Solve for x: -12(x - 23) = 7x - 47", "solution_steps": ["Expand: -12x + 276 = 7x - 47", "Subtract 7x from both sides: -19x + 276 = -47", "Subtract 276 from both sides: -19x = -323", "Divide both sides by -19: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 23) = 7x - 47", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 23, \"c\": 7, \"e\": -47, \"x\": 17}", "seed": "4932759311890599442", "semantic_fingerprint": "sha256:9aa2b137721b773c755090788540c23c0e31aee50102361f3dff002e522ab032", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004205", "prompt": "What is -5 + (-885) + (-87) - 921 / 7?", "solution_steps": ["Add: -5 + (-885) = -890", "Add: -890 + (-87) = -977", "Divide: 921 / 7 = 921/7", "Subtract: -977 - 921/7 = -7760/7"], "final_answer": "-7760/7", "answer_type": "rational", "kind": "expression", "math_text": "-5 + (-885) + (-87) - 921 / 7", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -885, \"c\": -87, \"d\": 921, \"e\": 7}", "seed": "13966386993106651331", "semantic_fingerprint": "sha256:63d8a833fa10549e34ef24fb0ebc3c7f2e160a68828070294202fbc8c2d8032e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004206", "prompt": "What is -5 / (90 * 894 / (-12))?", "solution_steps": ["Multiply: 90 * 894 = 80460", "Divide: 80460 / (-12) = -6705", "Divide: -5 / (-6705) = 1/1341"], "final_answer": "1/1341", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (90 * 894 / (-12))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 90, \"c\": 894, \"d\": -12}", "seed": "9020032816400813617", "semantic_fingerprint": "sha256:6ae4f6b2d188e9dfd14a413d614b3b20c5dba174a69f1ba7348e91f565c7476b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004207", "prompt": "Find x: -7x - 6 = -4(x + 63) + 252", "solution_steps": ["Expand: -7x - 6 = -4x - 252 + 252", "Combine constants: -7x - 6 = -4x", "Add 4x to both sides: -3x - 6 = 0", "Add 6 to both sides: -3x = 6", "Divide both sides by -3: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 6 = -4(x + 63) + 252", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 6, \"c\": -4, \"d\": 63, \"f\": 252, \"x\": -2}", "seed": "12719175250438626578", "semantic_fingerprint": "sha256:5abf0ac1e60600c38b34da8db7cf9b2d66c0e6c227a6751521c98c43265595ab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004208", "prompt": "Compute: 2 * 98 + (-59 + 970) - 9", "solution_steps": ["Multiply: 2 * 98 = 196", "Add: -59 + 970 = 911", "Add: 196 + 911 = 1107", "Subtract: 1107 - 9 = 1098"], "final_answer": "1098", "answer_type": "integer", "kind": "expression", "math_text": "2 * 98 + (-59 + 970) - 9", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 98, \"c\": -59, \"d\": 970, \"e\": 9}", "seed": "14803191409121843753", "semantic_fingerprint": "sha256:0db3cbc56ac31608389413ff3e63afb6968bc130f529f659313a1e3a2414aedc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004209", "prompt": "Compute: (775 - 946) * (84 / 16)", "solution_steps": ["Subtract: 775 - 946 = -171", "Divide: 84 / 16 = 21/4", "Multiply: -171 * (21/4) = -3591/4"], "final_answer": "-3591/4", "answer_type": "rational", "kind": "expression", "math_text": "(775 - 946) * (84 / 16)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 775, \"b\": 946, \"c\": 84, \"d\": 16}", "seed": "1202629756012617520", "semantic_fingerprint": "sha256:56c40d6b50f68282711baaa8b271c074ffb573f476ed1288959e37c2602d6085", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004210", "prompt": "Calculate: 558 + 7 - (759 + 77)", "solution_steps": ["Add: 558 + 7 = 565", "Add: 759 + 77 = 836", "Subtract: 565 - 836 = -271"], "final_answer": "-271", "answer_type": "integer", "kind": "expression", "math_text": "558 + 7 - (759 + 77)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 558, \"b\": 7, \"c\": 759, \"d\": 77}", "seed": "11024700695109211494", "semantic_fingerprint": "sha256:868298c92638b579e349764cd78a5f3c1e9f0998b1727eb65107789ca42cd8fa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004211", "prompt": "Compute: -7 * (8 * (531 - (-40)))", "solution_steps": ["Subtract: 531 - (-40) = 571", "Multiply: 8 * 571 = 4568", "Multiply: -7 * 4568 = -31976"], "final_answer": "-31976", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (8 * (531 - (-40)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 8, \"c\": 531, \"d\": -40}", "seed": "12447069418622366683", "semantic_fingerprint": "sha256:a1a6420f2741b121e3b1fedbbcb2a51e753485c86ab9293580065052f56c7128", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004212", "prompt": "What is -6 - (-33 / (-3) - (4 + (-79) - (-526)))?", "solution_steps": ["Divide: -33 / (-3) = 11", "Add: 4 + (-79) = -75", "Subtract: -75 - (-526) = 451", "Subtract: 11 - 451 = -440", "Subtract: -6 - (-440) = 434"], "final_answer": "434", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (-33 / (-3) - (4 + (-79) - (-526)))", "variable": null, "family": "expression_5op", "shape": "(- n (- (/ n n) (- (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -33, \"c\": -3, \"d\": 4, \"e\": -79, \"f\": -526}", "seed": "9120672530047754173", "semantic_fingerprint": "sha256:0ddc6317205c54aff7573017e951a3dc7d0b4635a64864317102762e84df1c36", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004213", "prompt": "What is 297 - (784 + 2) / 66 / 20?", "solution_steps": ["Add: 784 + 2 = 786", "Divide: 786 / 66 = 131/11", "Divide: (131/11) / 20 = 131/220", "Subtract: 297 - 131/220 = 65209/220"], "final_answer": "65209/220", "answer_type": "rational", "kind": "expression", "math_text": "297 - (784 + 2) / 66 / 20", "variable": null, "family": "expression_4op", "shape": "(- n (/ (/ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 297, \"b\": 784, \"c\": 2, \"d\": 66, \"e\": 20}", "seed": "4124223903687786368", "semantic_fingerprint": "sha256:aed7dcc8459cee15f713178ac8d5e676982382a92ab779936a1d3bfeea176820", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004214", "prompt": "What value of x satisfies 3(x - 51) + 103 = 10x + 48?", "solution_steps": ["Expand: 3x - 153 + 103 = 10x + 48", "Combine constants: 3x - 50 = 10x + 48", "Subtract 10x from both sides: -7x - 50 = 48", "Add 50 to both sides: -7x = 98", "Divide both sides by -7: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 51) + 103 = 10x + 48", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 51, \"c\": 103, \"d\": 10, \"f\": 48, \"x\": -14}", "seed": "15713898268873275002", "semantic_fingerprint": "sha256:39a46d3e68690ad7f1f26ddc74774c6ad2380dcda954064778d53ee938c6d417", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004215", "prompt": "Solve the equation -8(x - 179) - 17 = 5(x - 74) - 32 for x.", "solution_steps": ["Expand: -8x + 1432 - 17 = 5(x - 74) - 32", "Expand: -8x + 1432 - 17 = 5x - 370 - 32", "Combine constants: -8x + 1415 = 5x - 370 - 32", "Combine constants: -8x + 1415 = 5x - 402", "Subtract 5x from both sides: -13x + 1415 = -402", "Subtract 1415 from both sides: -13x = -1817", "Divide both sides by -13: x = 1817/13"], "final_answer": "1817/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 179) - 17 = 5(x - 74) - 32", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 179, \"c\": 17, \"d\": 5, \"e\": 74, \"f\": 32}", "seed": "10571676590000553226", "semantic_fingerprint": "sha256:f22d0eda1b8ec7edc6b113e1d67af86802a446e82731cd9ce9c3dc778e11bf83", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004216", "prompt": "Calculate: 8 - 622 + 46 * (-94 + (-79))", "solution_steps": ["Subtract: 8 - 622 = -614", "Add: -94 + (-79) = -173", "Multiply: 46 * (-173) = -7958", "Add: -614 + (-7958) = -8572"], "final_answer": "-8572", "answer_type": "integer", "kind": "expression", "math_text": "8 - 622 + 46 * (-94 + (-79))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 622, \"c\": 46, \"d\": -94, \"e\": -79}", "seed": "7943829087914762240", "semantic_fingerprint": "sha256:1a89b0d9c6a7b47c9916fe2fe89bc611c89f1036638425bf0f8ec21adbbdda95", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004217", "prompt": "Solve the equation 8(x - 9) + 471 = 2x + 465 for x.", "solution_steps": ["Expand: 8x - 72 + 471 = 2x + 465", "Combine constants: 8x + 399 = 2x + 465", "Subtract 2x from both sides: 6x + 399 = 465", "Subtract 399 from both sides: 6x = 66", "Divide both sides by 6: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 9) + 471 = 2x + 465", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 471, \"d\": 2, \"f\": 465, \"x\": 11}", "seed": "15832828819092640282", "semantic_fingerprint": "sha256:42bb87df33b51f64e5a6804f16a9f8826546c96bd6d91c382705321b81f19a91", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004218", "prompt": "Solve for x: x - 22 = -5(x - 21) + 9", "solution_steps": ["Expand: x - 22 = -5x + 105 + 9", "Combine constants: x - 22 = -5x + 114", "Add 5x to both sides: 6x - 22 = 114", "Add 22 to both sides: 6x = 136", "Divide both sides by 6: x = 68/3"], "final_answer": "68/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 22 = -5(x - 21) + 9", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": -5, \"c\": 21, \"d\": 9}", "seed": "13360704494679511767", "semantic_fingerprint": "sha256:546fe2888f6dee37f989eac0474544f778fe76fd3302de6617b539225f033bec", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004219", "prompt": "Calculate: -153 * 202 / (-208) / (-74)", "solution_steps": ["Multiply: -153 * 202 = -30906", "Divide: -30906 / (-208) = 15453/104", "Divide: (15453/104) / (-74) = -15453/7696"], "final_answer": "-15453/7696", "answer_type": "rational", "kind": "expression", "math_text": "-153 * 202 / (-208) / (-74)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -153, \"b\": 202, \"c\": -208, \"d\": -74}", "seed": "18061308363277952156", "semantic_fingerprint": "sha256:a6b336a0823a8e17d2b4c88f72d33810f9e23202b0d4ae04b8e832cb17513e8a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004220", "prompt": "Compute: -4 * (6 * (-75) / 734) / (-49 - (-733))", "solution_steps": ["Multiply: 6 * (-75) = -450", "Divide: -450 / 734 = -225/367", "Multiply: -4 * (-225/367) = 900/367", "Subtract: -49 - (-733) = 684", "Divide: (900/367) / 684 = 25/6973"], "final_answer": "25/6973", "answer_type": "rational", "kind": "expression", "math_text": "-4 * (6 * (-75) / 734) / (-49 - (-733))", "variable": null, "family": "expression_5op", "shape": "(/ (* n (/ (* n n) n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 6, \"c\": -75, \"d\": 734, \"e\": -49, \"f\": -733}", "seed": "16287045506728079930", "semantic_fingerprint": "sha256:22101c3f21263c0dc9fe69eb82bd880316df6b0aff6e9e62a0115ae80f3e9a09", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004221", "prompt": "Find x: -3(x - 28) + 123 = -4(x + 327) - 2", "solution_steps": ["Expand: -3x + 84 + 123 = -4(x + 327) - 2", "Expand: -3x + 84 + 123 = -4x - 1308 - 2", "Combine constants: -3x + 207 = -4x - 1308 - 2", "Combine constants: -3x + 207 = -4x - 1310", "Add 4x to both sides: x + 207 = -1310", "Subtract 207 from both sides: x = -1517"], "final_answer": "-1517", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 28) + 123 = -4(x + 327) - 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 28, \"c\": 123, \"d\": -4, \"e\": 327, \"f\": 2}", "seed": "13536905124728951946", "semantic_fingerprint": "sha256:2567eae067bc413e7619bdb6fa1ebec4301e15529428e13f92893d6d3e14ebe7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004222", "prompt": "What value of x satisfies -10(x - 752) + 5 = -9x + 95?", "solution_steps": ["Expand: -10x + 7520 + 5 = -9x + 95", "Combine constants: -10x + 7525 = -9x + 95", "Add 9x to both sides: -x + 7525 = 95", "Subtract 7525 from both sides: -x = -7430", "Divide both sides by -1: x = 7430"], "final_answer": "7430", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 752) + 5 = -9x + 95", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 752, \"c\": 5, \"d\": -9, \"e\": 95}", "seed": "2646306177981216298", "semantic_fingerprint": "sha256:3d566e6fab5342575dbb4440a2f60255ee2688b652f84c2c5aef107b5094367b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004223", "prompt": "Solve the equation -6(x + 6) - 3 = x - 4 for x.", "solution_steps": ["Expand: -6x - 36 - 3 = x - 4", "Combine constants: -6x - 39 = x - 4", "Subtract x from both sides: -7x - 39 = -4", "Add 39 to both sides: -7x = 35", "Divide both sides by -7: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 6) - 3 = x - 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 6, \"c\": 3, \"d\": 4}", "seed": "8213085985104321139", "semantic_fingerprint": "sha256:a9e02213bb515a030dfcc55d3d2c32255568eabd36e55636f1ac746b406e9b56", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004224", "prompt": "Find x: 3(x + 7) + 7 = -11(x + 4) - 26", "solution_steps": ["Expand: 3x + 21 + 7 = -11(x + 4) - 26", "Expand: 3x + 21 + 7 = -11x - 44 - 26", "Combine constants: 3x + 28 = -11x - 44 - 26", "Combine constants: 3x + 28 = -11x - 70", "Add 11x to both sides: 14x + 28 = -70", "Subtract 28 from both sides: 14x = -98", "Divide both sides by 14: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 7) + 7 = -11(x + 4) - 26", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 7, \"d\": -11, \"e\": 4, \"g\": -26, \"x\": -7}", "seed": "8467169954081376998", "semantic_fingerprint": "sha256:ddafe510005c435114e2d279074488a800dc6e513088e9131c539b289761b86c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004225", "prompt": "Evaluate: (295 - (-16)) * (0 / (-445))", "solution_steps": ["Subtract: 295 - (-16) = 311", "Divide: 0 / (-445) = 0", "Multiply: 311 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(295 - (-16)) * (0 / (-445))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 295, \"b\": -16, \"c\": 0, \"d\": -445}", "seed": "5992752142956381347", "semantic_fingerprint": "sha256:af843cd8bc74a72611d704432a0c8094e4e883b48f48ef81f5b3ac7544f174db", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004226", "prompt": "Evaluate: 655 / (-92) + (-9) - (-5) / 916", "solution_steps": ["Divide: 655 / (-92) = -655/92", "Add: -655/92 + (-9) = -1483/92", "Divide: -5 / 916 = -5/916", "Subtract: -1483/92 - (-5/916) = -84873/5267"], "final_answer": "-84873/5267", "answer_type": "rational", "kind": "expression", "math_text": "655 / (-92) + (-9) - (-5) / 916", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 655, \"b\": -92, \"c\": -9, \"d\": -5, \"e\": 916}", "seed": "5291429037279213756", "semantic_fingerprint": "sha256:b70bb84d3927a3c44bfc0d0b39d299b7f4f9c2f511b2f73b602db89c64a7a064", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004227", "prompt": "What is 885 - (1 + 895) + (-90)?", "solution_steps": ["Add: 1 + 895 = 896", "Subtract: 885 - 896 = -11", "Add: -11 + (-90) = -101"], "final_answer": "-101", "answer_type": "integer", "kind": "expression", "math_text": "885 - (1 + 895) + (-90)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 885, \"b\": 1, \"c\": 895, \"d\": -90}", "seed": "5839406499293624939", "semantic_fingerprint": "sha256:7343eccb8560a758c8f1717c730c557451f1c03b17e8c31a64f43ff4ed84a6f1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004228", "prompt": "Calculate: 8 - (-57 / 740 + (-54) + (-14))", "solution_steps": ["Divide: -57 / 740 = -57/740", "Add: -57/740 + (-54) = -40017/740", "Add: -40017/740 + (-14) = -50377/740", "Subtract: 8 - (-50377/740) = 56297/740"], "final_answer": "56297/740", "answer_type": "rational", "kind": "expression", "math_text": "8 - (-57 / 740 + (-54) + (-14))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (+ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -57, \"c\": 740, \"d\": -54, \"e\": -14}", "seed": "16240158908413530120", "semantic_fingerprint": "sha256:052cb673174e35a7eb86bf3b74a626c0afa36b35aa029ecf39065b49130f33df", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004229", "prompt": "What value of x satisfies 8(x - 5) + 98 = -9x + 279?", "solution_steps": ["Expand: 8x - 40 + 98 = -9x + 279", "Combine constants: 8x + 58 = -9x + 279", "Add 9x to both sides: 17x + 58 = 279", "Subtract 58 from both sides: 17x = 221", "Divide both sides by 17: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 5) + 98 = -9x + 279", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"c\": 98, \"d\": -9, \"f\": 279, \"x\": 13}", "seed": "9483859983339230595", "semantic_fingerprint": "sha256:51bcc68ff96e9a0c0a411d164ff2bf03ff10af76ff7b0207af1917d84775f607", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004230", "prompt": "Compute: -109 * (-89) / (4 + 3)", "solution_steps": ["Multiply: -109 * (-89) = 9701", "Add: 4 + 3 = 7", "Divide: 9701 / 7 = 9701/7"], "final_answer": "9701/7", "answer_type": "rational", "kind": "expression", "math_text": "-109 * (-89) / (4 + 3)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -109, \"b\": -89, \"c\": 4, \"d\": 3}", "seed": "3277455734824647459", "semantic_fingerprint": "sha256:a4c82d300386039dd350dfe734c1d4ff4041a34950dc600b9f25029ab2c1c6bf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004231", "prompt": "Evaluate: 0 / (97 - 931) - (-48) / (-8 * (-4))", "solution_steps": ["Subtract: 97 - 931 = -834", "Divide: 0 / (-834) = 0", "Multiply: -8 * (-4) = 32", "Divide: -48 / 32 = -3/2", "Subtract: 0 - (-3/2) = 3/2"], "final_answer": "3/2", "answer_type": "rational", "kind": "expression", "math_text": "0 / (97 - 931) - (-48) / (-8 * (-4))", "variable": null, "family": "expression_5op", "shape": "(- (/ n (- n n)) (/ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 97, \"c\": 931, \"d\": -48, \"e\": -8, \"f\": -4}", "seed": "6013952557152204354", "semantic_fingerprint": "sha256:00850d9d499e5117b81b1676ee92e70c2dba6d361da1ec8d0d527cbe82215f4c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004232", "prompt": "What is 2 / 72 * (85 / (-81 + (-72)))?", "solution_steps": ["Divide: 2 / 72 = 1/36", "Add: -81 + (-72) = -153", "Divide: 85 / (-153) = -5/9", "Multiply: (1/36) * (-5/9) = -5/324"], "final_answer": "-5/324", "answer_type": "rational", "kind": "expression", "math_text": "2 / 72 * (85 / (-81 + (-72)))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 72, \"c\": 85, \"d\": -81, \"e\": -72}", "seed": "14536131579540390034", "semantic_fingerprint": "sha256:2ad1992a205a9f1b6de0321457fcdd6d50917011ee4e1355dc94aeff96f22333", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004233", "prompt": "What value of x satisfies 3(x + 22) + 201 = 10(x + 19) - 7?", "solution_steps": ["Expand: 3x + 66 + 201 = 10(x + 19) - 7", "Expand: 3x + 66 + 201 = 10x + 190 - 7", "Combine constants: 3x + 267 = 10x + 190 - 7", "Combine constants: 3x + 267 = 10x + 183", "Subtract 10x from both sides: -7x + 267 = 183", "Subtract 267 from both sides: -7x = -84", "Divide both sides by -7: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 22) + 201 = 10(x + 19) - 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 22, \"c\": 201, \"d\": 10, \"e\": 19, \"f\": 7}", "seed": "8573769956478867832", "semantic_fingerprint": "sha256:d1851abdf80cf7768093e366f5eafeb2143f5d362056b54c7bc804e8bb8085e9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004234", "prompt": "Compute: 441 / (-558 * 1) + (50 - 87 - (-7))", "solution_steps": ["Multiply: -558 * 1 = -558", "Divide: 441 / (-558) = -49/62", "Subtract: 50 - 87 = -37", "Subtract: -37 - (-7) = -30", "Add: -49/62 + (-30) = -1909/62"], "final_answer": "-1909/62", "answer_type": "rational", "kind": "expression", "math_text": "441 / (-558 * 1) + (50 - 87 - (-7))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (* n n)) (- (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 441, \"b\": -558, \"c\": 1, \"d\": 50, \"e\": 87, \"f\": -7}", "seed": "1950706880306248958", "semantic_fingerprint": "sha256:eb74fb0aa045c2af471f4ceb78c3b7e4326515ec7dd7e5b14a9d3faac896c87f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004235", "prompt": "What value of x satisfies 3(x + 771) + 17 = -8(x + 3) - 6?", "solution_steps": ["Expand: 3x + 2313 + 17 = -8(x + 3) - 6", "Expand: 3x + 2313 + 17 = -8x - 24 - 6", "Combine constants: 3x + 2330 = -8x - 24 - 6", "Combine constants: 3x + 2330 = -8x - 30", "Add 8x to both sides: 11x + 2330 = -30", "Subtract 2330 from both sides: 11x = -2360", "Divide both sides by 11: x = -2360/11"], "final_answer": "-2360/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 771) + 17 = -8(x + 3) - 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 771, \"c\": 17, \"d\": -8, \"e\": 3, \"f\": 6}", "seed": "6390231697786571887", "semantic_fingerprint": "sha256:ed402d0bcb8bdebfbee280811f218df5bbac03c7459fe6054c261a8f4843d925", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004236", "prompt": "What is 13 - 16 * (0 - (-6) * (34 - (-85)))?", "solution_steps": ["Subtract: 34 - (-85) = 119", "Multiply: -6 * 119 = -714", "Subtract: 0 - (-714) = 714", "Multiply: 16 * 714 = 11424", "Subtract: 13 - 11424 = -11411"], "final_answer": "-11411", "answer_type": "integer", "kind": "expression", "math_text": "13 - 16 * (0 - (-6) * (34 - (-85)))", "variable": null, "family": "expression_5op", "shape": "(- n (* n (- n (* n (- n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": 16, \"c\": 0, \"d\": -6, \"e\": 34, \"f\": -85}", "seed": "4205100500961501702", "semantic_fingerprint": "sha256:9d264f7c1cde969203a2c30c4a3166b3c110142e41f4c47ed77124effd73991e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004237", "prompt": "What is 86 + (358 + 33) / (-999 / (-81)) - (-2)?", "solution_steps": ["Add: 358 + 33 = 391", "Divide: -999 / (-81) = 37/3", "Divide: 391 / (37/3) = 1173/37", "Add: 86 + 1173/37 = 4355/37", "Subtract: 4355/37 - (-2) = 4429/37"], "final_answer": "4429/37", "answer_type": "rational", "kind": "expression", "math_text": "86 + (358 + 33) / (-999 / (-81)) - (-2)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (/ (+ n n) (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 358, \"c\": 33, \"d\": -999, \"e\": -81, \"f\": -2}", "seed": "16568204673995890015", "semantic_fingerprint": "sha256:cd02c6809d8910e18098f1526f684cffdb062b49f8c65100256b40efd9fb32d7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004238", "prompt": "Evaluate: -66 + (8 + (405 - (-4))) - 3", "solution_steps": ["Subtract: 405 - (-4) = 409", "Add: 8 + 409 = 417", "Add: -66 + 417 = 351", "Subtract: 351 - 3 = 348"], "final_answer": "348", "answer_type": "integer", "kind": "expression", "math_text": "-66 + (8 + (405 - (-4))) - 3", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": 8, \"c\": 405, \"d\": -4, \"e\": 3}", "seed": "7133299520005634290", "semantic_fingerprint": "sha256:31788d54f719d36f513567afb6220525529f4ec34ece0456ce07797f27b61789", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004239", "prompt": "Find x: -9(x - 5) + 87 = 2(x + 645) - 982", "solution_steps": ["Expand: -9x + 45 + 87 = 2(x + 645) - 982", "Expand: -9x + 45 + 87 = 2x + 1290 - 982", "Combine constants: -9x + 132 = 2x + 1290 - 982", "Combine constants: -9x + 132 = 2x + 308", "Subtract 2x from both sides: -11x + 132 = 308", "Subtract 132 from both sides: -11x = 176", "Divide both sides by -11: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 5) + 87 = 2(x + 645) - 982", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"c\": 87, \"d\": 2, \"e\": 645, \"g\": -982, \"x\": -16}", "seed": "7268169482415268001", "semantic_fingerprint": "sha256:fa0cff126d7ad5dce9ef001ffb11a7e019090bb6cbd22aa2657fb36bf5aea2f2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004240", "prompt": "What is (835 + (-944)) / (-800 / (-256))?", "solution_steps": ["Add: 835 + (-944) = -109", "Divide: -800 / (-256) = 25/8", "Divide: -109 / (25/8) = -872/25"], "final_answer": "-872/25", "answer_type": "rational", "kind": "expression", "math_text": "(835 + (-944)) / (-800 / (-256))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 835, \"b\": -944, \"c\": -800, \"d\": -256}", "seed": "7203023997079362224", "semantic_fingerprint": "sha256:d5627ab8e778d02190385e01374a2f077b29711a9f4a224ab9488e81e5b4f2a8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004241", "prompt": "What value of x satisfies -7(x - 48) + 4 = 3x + 124?", "solution_steps": ["Expand: -7x + 336 + 4 = 3x + 124", "Combine constants: -7x + 340 = 3x + 124", "Subtract 3x from both sides: -10x + 340 = 124", "Subtract 340 from both sides: -10x = -216", "Divide both sides by -10: x = 108/5"], "final_answer": "108/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x - 48) + 4 = 3x + 124", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 48, \"c\": 4, \"d\": 3, \"e\": 124}", "seed": "17022604352210190003", "semantic_fingerprint": "sha256:ed0b6ae01f3d916e43f3cccd94a5569294a018c0699998da0197b9f9b7a89837", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004242", "prompt": "Calculate: (-69 * 9 + 0) * (-1)", "solution_steps": ["Multiply: -69 * 9 = -621", "Add: -621 + 0 = -621", "Multiply: -621 * (-1) = 621"], "final_answer": "621", "answer_type": "integer", "kind": "expression", "math_text": "(-69 * 9 + 0) * (-1)", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": 9, \"c\": 0, \"d\": -1}", "seed": "9302988788917516963", "semantic_fingerprint": "sha256:99fada6f1ab8c8f9ebe9d06d019a96b33a399052333aafbb5a2e154c28d1949b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004243", "prompt": "What is 0 - (-2 - (-5) - (-842) + (-702) * 9)?", "solution_steps": ["Subtract: -2 - (-5) = 3", "Subtract: 3 - (-842) = 845", "Multiply: -702 * 9 = -6318", "Add: 845 + (-6318) = -5473", "Subtract: 0 - (-5473) = 5473"], "final_answer": "5473", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-2 - (-5) - (-842) + (-702) * 9)", "variable": null, "family": "expression_5op", "shape": "(- n (+ (- (- n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -2, \"c\": -5, \"d\": -842, \"e\": -702, \"f\": 9}", "seed": "17187611588503446197", "semantic_fingerprint": "sha256:db488f2f1f6a40a9bc8e1abbbc22f776f4c4ee92c0e12cc1a0aff06901f02e8c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004244", "prompt": "What is 362 * (-54) / (-2 / (-15 - 5))?", "solution_steps": ["Multiply: 362 * (-54) = -19548", "Subtract: -15 - 5 = -20", "Divide: -2 / (-20) = 1/10", "Divide: -19548 / (1/10) = -195480"], "final_answer": "-195480", "answer_type": "integer", "kind": "expression", "math_text": "362 * (-54) / (-2 / (-15 - 5))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 362, \"b\": -54, \"c\": -2, \"d\": -15, \"e\": 5}", "seed": "13571170662605010488", "semantic_fingerprint": "sha256:1005edfa5a55ff969084bfd39e149802fd66251ae1d6d98a691602687f164a2c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004245", "prompt": "Evaluate: (-3 + (-231)) * (-65) + (-4 - 749 + 0)", "solution_steps": ["Add: -3 + (-231) = -234", "Multiply: -234 * (-65) = 15210", "Subtract: -4 - 749 = -753", "Add: -753 + 0 = -753", "Add: 15210 + (-753) = 14457"], "final_answer": "14457", "answer_type": "integer", "kind": "expression", "math_text": "(-3 + (-231)) * (-65) + (-4 - 749 + 0)", "variable": null, "family": "expression_5op", "shape": "(+ (* (+ n n) n) (+ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -231, \"c\": -65, \"d\": -4, \"e\": 749, \"f\": 0}", "seed": "8373706687123330958", "semantic_fingerprint": "sha256:ed2c7f085ff636ad5c610f5e55c365812ff38ef648cbb955d23836ceb2135b4e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004246", "prompt": "Evaluate: -94 - 7 - (253 + 10) / (-2 / (-5))", "solution_steps": ["Subtract: -94 - 7 = -101", "Add: 253 + 10 = 263", "Divide: -2 / (-5) = 2/5", "Divide: 263 / (2/5) = 1315/2", "Subtract: -101 - 1315/2 = -1517/2"], "final_answer": "-1517/2", "answer_type": "rational", "kind": "expression", "math_text": "-94 - 7 - (253 + 10) / (-2 / (-5))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (/ (+ n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": 7, \"c\": 253, \"d\": 10, \"e\": -2, \"f\": -5}", "seed": "12948362901447080645", "semantic_fingerprint": "sha256:4645ccb08e5d97e892b8ca2c3561bf75ecc2f277b53a4e1b128b9df252332590", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004247", "prompt": "What value of x satisfies 3(x - 1) + 483 = -3(x - 544)?", "solution_steps": ["Expand: 3x - 3 + 483 = -3(x - 544)", "Expand: 3x - 3 + 483 = -3x + 1632", "Combine constants: 3x + 480 = -3x + 1632", "Add 3x to both sides: 6x + 480 = 1632", "Subtract 480 from both sides: 6x = 1152", "Divide both sides by 6: x = 192"], "final_answer": "192", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 1) + 483 = -3(x - 544)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 1, \"c\": 483, \"d\": -3, \"e\": 544}", "seed": "14447150228911655473", "semantic_fingerprint": "sha256:f0a0043063f38b74bff1fed02e62455befe8a9dd1e96e1cb1db99dbb24883d6e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004248", "prompt": "Solve for x: -12(x - 9) + 97 = 10x + 117", "solution_steps": ["Expand: -12x + 108 + 97 = 10x + 117", "Combine constants: -12x + 205 = 10x + 117", "Subtract 10x from both sides: -22x + 205 = 117", "Subtract 205 from both sides: -22x = -88", "Divide both sides by -22: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 9) + 97 = 10x + 117", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 9, \"c\": 97, \"d\": 10, \"f\": 117, \"x\": 4}", "seed": "17661926087058962190", "semantic_fingerprint": "sha256:42c14b765a04fbc6f8db7bbdfbf6d7b349213c208c47e3f1589301590d6a9f2c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004249", "prompt": "Solve for x: 3(x - 75) = 5x - 225", "solution_steps": ["Expand: 3x - 225 = 5x - 225", "Subtract 5x from both sides: -2x - 225 = -225", "Add 225 to both sides: -2x = 0", "Divide both sides by -2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 75) = 5x - 225", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 75, \"c\": 5, \"e\": -225, \"x\": 0}", "seed": "13953343610783036934", "semantic_fingerprint": "sha256:f4de6813605776b58fc5e4d4d84e439dad46ff9aa46fd0e88f64c85f33cc0558", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004250", "prompt": "Find x: x - 52 = 6(x - 61) + 254", "solution_steps": ["Expand: x - 52 = 6x - 366 + 254", "Combine constants: x - 52 = 6x - 112", "Subtract 6x from both sides: -5x - 52 = -112", "Add 52 to both sides: -5x = -60", "Divide both sides by -5: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 52 = 6(x - 61) + 254", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": 6, \"c\": 61, \"e\": 254, \"x\": 12}", "seed": "6382909688063624120", "semantic_fingerprint": "sha256:06cf9e870564bb1c1b7f88ecb0cb957637d71aa31d0d319d20bf4c59dc38502a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004251", "prompt": "Evaluate: (-89 - (-654) / (-51)) / 256", "solution_steps": ["Divide: -654 / (-51) = 218/17", "Subtract: -89 - 218/17 = -1731/17", "Divide: (-1731/17) / 256 = -1731/4352"], "final_answer": "-1731/4352", "answer_type": "rational", "kind": "expression", "math_text": "(-89 - (-654) / (-51)) / 256", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": -654, \"c\": -51, \"d\": 256}", "seed": "8818258282922590266", "semantic_fingerprint": "sha256:857cd4aca6ae8dc12a2f889cff87ef8f62e7b59c3c7e5ac87b2e7fb2928c8106", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004252", "prompt": "Compute: (-949 + (-66)) / (7 - 39 - 7)", "solution_steps": ["Add: -949 + (-66) = -1015", "Subtract: 7 - 39 = -32", "Subtract: -32 - 7 = -39", "Divide: -1015 / (-39) = 1015/39"], "final_answer": "1015/39", "answer_type": "rational", "kind": "expression", "math_text": "(-949 + (-66)) / (7 - 39 - 7)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -949, \"b\": -66, \"c\": 7, \"d\": 39, \"e\": 7}", "seed": "6319321303629434059", "semantic_fingerprint": "sha256:33e70af0b186f1b5b657bf9b79b5bd4b116c0d3842b2c58769b49addf3ca5404", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004253", "prompt": "Calculate: (203 + 425 + (-13)) * 34", "solution_steps": ["Add: 203 + 425 = 628", "Add: 628 + (-13) = 615", "Multiply: 615 * 34 = 20910"], "final_answer": "20910", "answer_type": "integer", "kind": "expression", "math_text": "(203 + 425 + (-13)) * 34", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 203, \"b\": 425, \"c\": -13, \"d\": 34}", "seed": "9462347560489080259", "semantic_fingerprint": "sha256:92fe81e5cbfefa2cce179ece4b4a89780d45f449a06d497c1230afc30674b445", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004254", "prompt": "Calculate: -359 * (0 / 12 / 5)", "solution_steps": ["Divide: 0 / 12 = 0", "Divide: 0 / 5 = 0", "Multiply: -359 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-359 * (0 / 12 / 5)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -359, \"b\": 0, \"c\": 12, \"d\": 5}", "seed": "14554614409861144936", "semantic_fingerprint": "sha256:a81b32b465111a3eb707d888cee6c8527f14b12a93a4570cb3313057ccadd623", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004255", "prompt": "Calculate: -1 / (-837 - 92 + 0)", "solution_steps": ["Subtract: -837 - 92 = -929", "Add: -929 + 0 = -929", "Divide: -1 / (-929) = 1/929"], "final_answer": "1/929", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-837 - 92 + 0)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -837, \"c\": 92, \"d\": 0}", "seed": "16264936440124123871", "semantic_fingerprint": "sha256:45522867b37b8a628efd907294a648e63c23737d595dd453e5ad155306b8e7ee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004256", "prompt": "Compute: 452 * (-76) + (32 + (-5 - (-57) / (-9)))", "solution_steps": ["Multiply: 452 * (-76) = -34352", "Divide: -57 / (-9) = 19/3", "Subtract: -5 - 19/3 = -34/3", "Add: 32 + (-34/3) = 62/3", "Add: -34352 + 62/3 = -102994/3"], "final_answer": "-102994/3", "answer_type": "rational", "kind": "expression", "math_text": "452 * (-76) + (32 + (-5 - (-57) / (-9)))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (+ n (- n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 452, \"b\": -76, \"c\": 32, \"d\": -5, \"e\": -57, \"f\": -9}", "seed": "17808419483696706598", "semantic_fingerprint": "sha256:a1ee6655718e0178ce0c3d9613dc2cf38ae7b87da054de7e8db08da73e34e273", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004257", "prompt": "Solve the equation 5(x - 3) - 114 = 10(x - 8) - 14 for x.", "solution_steps": ["Expand: 5x - 15 - 114 = 10(x - 8) - 14", "Expand: 5x - 15 - 114 = 10x - 80 - 14", "Combine constants: 5x - 129 = 10x - 80 - 14", "Combine constants: 5x - 129 = 10x - 94", "Subtract 10x from both sides: -5x - 129 = -94", "Add 129 to both sides: -5x = 35", "Divide both sides by -5: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 3) - 114 = 10(x - 8) - 14", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 114, \"d\": 10, \"e\": 8, \"g\": -14, \"x\": -7}", "seed": "9573591602082924005", "semantic_fingerprint": "sha256:7acb5bf689a34002bf60e85d14e9c8f41e1720a761520d2416aa2ae762835b4d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004258", "prompt": "Calculate: (49 + (-4) / (-90)) * (446 - 538) - 51", "solution_steps": ["Divide: -4 / (-90) = 2/45", "Add: 49 + 2/45 = 2207/45", "Subtract: 446 - 538 = -92", "Multiply: (2207/45) * (-92) = -203044/45", "Subtract: -203044/45 - 51 = -205339/45"], "final_answer": "-205339/45", "answer_type": "rational", "kind": "expression", "math_text": "(49 + (-4) / (-90)) * (446 - 538) - 51", "variable": null, "family": "expression_5op", "shape": "(- (* (+ n (/ n n)) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": -4, \"c\": -90, \"d\": 446, \"e\": 538, \"f\": 51}", "seed": "12698062309366377140", "semantic_fingerprint": "sha256:d56cc5136e330a8295b4df4b6e62422da7ca7f00074863b7dca5d512f18bb329", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004259", "prompt": "Solve the equation -6(x + 99) + 82 = 11(x + 8) - 583 for x.", "solution_steps": ["Expand: -6x - 594 + 82 = 11(x + 8) - 583", "Expand: -6x - 594 + 82 = 11x + 88 - 583", "Combine constants: -6x - 512 = 11x + 88 - 583", "Combine constants: -6x - 512 = 11x - 495", "Subtract 11x from both sides: -17x - 512 = -495", "Add 512 to both sides: -17x = 17", "Divide both sides by -17: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 99) + 82 = 11(x + 8) - 583", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 99, \"c\": 82, \"d\": 11, \"e\": 8, \"g\": -583, \"x\": -1}", "seed": "6401804204875115602", "semantic_fingerprint": "sha256:05405fbaf5b0c10ae357c51eccb0cfe48d8cf752eb41591117b980c07b682e09", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004260", "prompt": "Evaluate: (5 - (-30)) / (34 * (-5))", "solution_steps": ["Subtract: 5 - (-30) = 35", "Multiply: 34 * (-5) = -170", "Divide: 35 / (-170) = -7/34"], "final_answer": "-7/34", "answer_type": "rational", "kind": "expression", "math_text": "(5 - (-30)) / (34 * (-5))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -30, \"c\": 34, \"d\": -5}", "seed": "16776640160931474500", "semantic_fingerprint": "sha256:35566b1aae5d20d637bb14cc722aed192fdc9ad12760a7fce997e340e8c1f5c2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004261", "prompt": "Solve for x: 5(x - 38) + 32 = -9(x - 4)", "solution_steps": ["Expand: 5x - 190 + 32 = -9(x - 4)", "Expand: 5x - 190 + 32 = -9x + 36", "Combine constants: 5x - 158 = -9x + 36", "Add 9x to both sides: 14x - 158 = 36", "Add 158 to both sides: 14x = 194", "Divide both sides by 14: x = 97/7"], "final_answer": "97/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 38) + 32 = -9(x - 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 38, \"c\": 32, \"d\": -9, \"e\": 4}", "seed": "6247339311834219384", "semantic_fingerprint": "sha256:f29ec1af9bcf015c81da3aeedb6becab49838e970f4131865eeaddf223933501", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004262", "prompt": "What is (-85 - (-399)) * (35 / (-2))?", "solution_steps": ["Subtract: -85 - (-399) = 314", "Divide: 35 / (-2) = -35/2", "Multiply: 314 * (-35/2) = -5495"], "final_answer": "-5495", "answer_type": "integer", "kind": "expression", "math_text": "(-85 - (-399)) * (35 / (-2))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": -399, \"c\": 35, \"d\": -2}", "seed": "5228913308092488183", "semantic_fingerprint": "sha256:340619f1407c9285f3873d54c90a79c80409e140cdad6f3c400aaeb1773f90cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004263", "prompt": "Solve the equation 12(x - 160) - 368 = 8(x - 279) for x.", "solution_steps": ["Expand: 12x - 1920 - 368 = 8(x - 279)", "Expand: 12x - 1920 - 368 = 8x - 2232", "Combine constants: 12x - 2288 = 8x - 2232", "Subtract 8x from both sides: 4x - 2288 = -2232", "Add 2288 to both sides: 4x = 56", "Divide both sides by 4: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 160) - 368 = 8(x - 279)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 160, \"c\": 8, \"d\": 279, \"f\": -368, \"x\": 14}", "seed": "1803027852806697592", "semantic_fingerprint": "sha256:f793ffa750fc245669079967a727f168422e57aaf4ea890be335326d5beeac17", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004264", "prompt": "Solve for x: 6(x - 61) + 552 = -2(x - 33)", "solution_steps": ["Expand: 6x - 366 + 552 = -2(x - 33)", "Expand: 6x - 366 + 552 = -2x + 66", "Combine constants: 6x + 186 = -2x + 66", "Add 2x to both sides: 8x + 186 = 66", "Subtract 186 from both sides: 8x = -120", "Divide both sides by 8: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 61) + 552 = -2(x - 33)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 61, \"c\": -2, \"d\": 33, \"f\": 552, \"x\": -15}", "seed": "12554949024965969809", "semantic_fingerprint": "sha256:471408b4ee511923bf2f70f46dad5be225dd1c0d94ed33667d17eff8d0710062", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004265", "prompt": "What value of x satisfies 6(x - 3) - 896 = 7(x - 32) - 673?", "solution_steps": ["Expand: 6x - 18 - 896 = 7(x - 32) - 673", "Expand: 6x - 18 - 896 = 7x - 224 - 673", "Combine constants: 6x - 914 = 7x - 224 - 673", "Combine constants: 6x - 914 = 7x - 897", "Subtract 7x from both sides: -x - 914 = -897", "Add 914 to both sides: -x = 17", "Divide both sides by -1: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 3) - 896 = 7(x - 32) - 673", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 896, \"d\": 7, \"e\": 32, \"g\": -673, \"x\": -17}", "seed": "17494688940993163672", "semantic_fingerprint": "sha256:d7b50b50480f9e5213e0057febb675b6da5d2b5af1635b9acf4a86d1d786c042", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004266", "prompt": "Evaluate: (60 + (-273) + (-4)) * (-738)", "solution_steps": ["Add: 60 + (-273) = -213", "Add: -213 + (-4) = -217", "Multiply: -217 * (-738) = 160146"], "final_answer": "160146", "answer_type": "integer", "kind": "expression", "math_text": "(60 + (-273) + (-4)) * (-738)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": -273, \"c\": -4, \"d\": -738}", "seed": "11652982332944674453", "semantic_fingerprint": "sha256:2d9edfe285742be53f9a223f52b3d2b53b57cebf098c2c3990fd2f1b67af8b19", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004267", "prompt": "What value of x satisfies 5x - 3 = -11(x + 42) + 683?", "solution_steps": ["Expand: 5x - 3 = -11x - 462 + 683", "Combine constants: 5x - 3 = -11x + 221", "Add 11x to both sides: 16x - 3 = 221", "Add 3 to both sides: 16x = 224", "Divide both sides by 16: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 3 = -11(x + 42) + 683", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": -11, \"d\": 42, \"f\": 683, \"x\": 14}", "seed": "6623486197405325125", "semantic_fingerprint": "sha256:49d4c168120a4b60039a63550b68646cdecea1fca9afa21a452d56101b88f851", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004268", "prompt": "What is (441 - 555) * (-3 * (-79))?", "solution_steps": ["Subtract: 441 - 555 = -114", "Multiply: -3 * (-79) = 237", "Multiply: -114 * 237 = -27018"], "final_answer": "-27018", "answer_type": "integer", "kind": "expression", "math_text": "(441 - 555) * (-3 * (-79))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 441, \"b\": 555, \"c\": -3, \"d\": -79}", "seed": "12041817663525496493", "semantic_fingerprint": "sha256:b51df858eee0fd820302746b42c2824bd38eb92deaf8b285f4c925ad0ef70d25", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004269", "prompt": "Calculate: 2 * (393 / (-90 + (-363))) * (-84 / (-4))", "solution_steps": ["Add: -90 + (-363) = -453", "Divide: 393 / (-453) = -131/151", "Multiply: 2 * (-131/151) = -262/151", "Divide: -84 / (-4) = 21", "Multiply: (-262/151) * 21 = -5502/151"], "final_answer": "-5502/151", "answer_type": "rational", "kind": "expression", "math_text": "2 * (393 / (-90 + (-363))) * (-84 / (-4))", "variable": null, "family": "expression_5op", "shape": "(* (* n (/ n (+ n n))) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 393, \"c\": -90, \"d\": -363, \"e\": -84, \"f\": -4}", "seed": "12373489577291049445", "semantic_fingerprint": "sha256:f00a0013d09c335417071e290ab0766a9ba1eb2c22181405587a738ba8be2690", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004270", "prompt": "Find x: -12x - 3 = -9(x + 4) + 45", "solution_steps": ["Expand: -12x - 3 = -9x - 36 + 45", "Combine constants: -12x - 3 = -9x + 9", "Add 9x to both sides: -3x - 3 = 9", "Add 3 to both sides: -3x = 12", "Divide both sides by -3: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 3 = -9(x + 4) + 45", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 3, \"c\": -9, \"d\": 4, \"f\": 45, \"x\": -4}", "seed": "6397018533607161099", "semantic_fingerprint": "sha256:a96ddea9424cf05f1eba79a1a69687609b04f23e86d796e005ce4460898d75f7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004271", "prompt": "Evaluate: -63 + 556 / (-4 - (-7))", "solution_steps": ["Subtract: -4 - (-7) = 3", "Divide: 556 / 3 = 556/3", "Add: -63 + 556/3 = 367/3"], "final_answer": "367/3", "answer_type": "rational", "kind": "expression", "math_text": "-63 + 556 / (-4 - (-7))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 556, \"c\": -4, \"d\": -7}", "seed": "14766778662834103059", "semantic_fingerprint": "sha256:c2bf9c607b0414a7eba5a97de71bf859261c01770f05fb62d98db7f92e85de1e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004272", "prompt": "What value of x satisfies 2(x - 7) - 22 = 11(x - 2)?", "solution_steps": ["Expand: 2x - 14 - 22 = 11(x - 2)", "Expand: 2x - 14 - 22 = 11x - 22", "Combine constants: 2x - 36 = 11x - 22", "Subtract 11x from both sides: -9x - 36 = -22", "Add 36 to both sides: -9x = 14", "Divide both sides by -9: x = -14/9"], "final_answer": "-14/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 7) - 22 = 11(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": 22, \"d\": 11, \"e\": 2}", "seed": "16889151376435908730", "semantic_fingerprint": "sha256:118a625feb147daa89a472777e1705ebbdcdab061529612d986409c98c88cc2b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004273", "prompt": "Evaluate: -33 + 0 / (-69) + 393 * (-2)", "solution_steps": ["Divide: 0 / (-69) = 0", "Add: -33 + 0 = -33", "Multiply: 393 * (-2) = -786", "Add: -33 + (-786) = -819"], "final_answer": "-819", "answer_type": "integer", "kind": "expression", "math_text": "-33 + 0 / (-69) + 393 * (-2)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": 0, \"c\": -69, \"d\": 393, \"e\": -2}", "seed": "3724976873671403755", "semantic_fingerprint": "sha256:fd1e6feeaa4257b7dfda09a097c67731925da99251fd02a4d92a29fd61a19238", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004274", "prompt": "Calculate: -7 * (-37) * 40 - (5 + 86 + 8)", "solution_steps": ["Multiply: -7 * (-37) = 259", "Multiply: 259 * 40 = 10360", "Add: 5 + 86 = 91", "Add: 91 + 8 = 99", "Subtract: 10360 - 99 = 10261"], "final_answer": "10261", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (-37) * 40 - (5 + 86 + 8)", "variable": null, "family": "expression_5op", "shape": "(- (* (* n n) n) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -37, \"c\": 40, \"d\": 5, \"e\": 86, \"f\": 8}", "seed": "13295199302945408717", "semantic_fingerprint": "sha256:854d1e6f9c467b8c46fd498c8f45c4d4860e7036d07a21168b21cc45fc9c6d7d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004275", "prompt": "Evaluate: (6 - (-38) / 709) / (-6)", "solution_steps": ["Divide: -38 / 709 = -38/709", "Subtract: 6 - (-38/709) = 4292/709", "Divide: (4292/709) / (-6) = -2146/2127"], "final_answer": "-2146/2127", "answer_type": "rational", "kind": "expression", "math_text": "(6 - (-38) / 709) / (-6)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -38, \"c\": 709, \"d\": -6}", "seed": "4249765024209669297", "semantic_fingerprint": "sha256:afb3dda92caab8978e59ea73a016481062af9abd0151c18e9cb126b002817184", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004276", "prompt": "Compute: -1 * (-39 / (-62 - (-661))) / 5", "solution_steps": ["Subtract: -62 - (-661) = 599", "Divide: -39 / 599 = -39/599", "Multiply: -1 * (-39/599) = 39/599", "Divide: (39/599) / 5 = 39/2995"], "final_answer": "39/2995", "answer_type": "rational", "kind": "expression", "math_text": "-1 * (-39 / (-62 - (-661))) / 5", "variable": null, "family": "expression_4op", "shape": "(/ (* n (/ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -39, \"c\": -62, \"d\": -661, \"e\": 5}", "seed": "13723223318512254878", "semantic_fingerprint": "sha256:3cc2806c7e6affd8532dd4e0d70f77c40d04efd1aa7afb823568ae6a37bbfdd3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004277", "prompt": "Find x: x - 2 = -3(x - 94) + 76", "solution_steps": ["Expand: x - 2 = -3x + 282 + 76", "Combine constants: x - 2 = -3x + 358", "Add 3x to both sides: 4x - 2 = 358", "Add 2 to both sides: 4x = 360", "Divide both sides by 4: x = 90"], "final_answer": "90", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2 = -3(x - 94) + 76", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -3, \"c\": 94, \"d\": 76}", "seed": "16713226253457466886", "semantic_fingerprint": "sha256:042abb31a344d36bc487ebfa35795d5604351be60255952fbf789505ea9fff6a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004278", "prompt": "Find x: 9(x + 33) - 103 = x - 5", "solution_steps": ["Expand: 9x + 297 - 103 = x - 5", "Combine constants: 9x + 194 = x - 5", "Subtract x from both sides: 8x + 194 = -5", "Subtract 194 from both sides: 8x = -199", "Divide both sides by 8: x = -199/8"], "final_answer": "-199/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 33) - 103 = x - 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 33, \"c\": 103, \"d\": 5}", "seed": "5756511470854579998", "semantic_fingerprint": "sha256:74a737378711946366fc4394ca54e9b70ef32e0705870fc6fc0cb5f19f3cd12f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004279", "prompt": "Evaluate: (-90 - (94 + (697 - (-49)))) * 78", "solution_steps": ["Subtract: 697 - (-49) = 746", "Add: 94 + 746 = 840", "Subtract: -90 - 840 = -930", "Multiply: -930 * 78 = -72540"], "final_answer": "-72540", "answer_type": "integer", "kind": "expression", "math_text": "(-90 - (94 + (697 - (-49)))) * 78", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": 94, \"c\": 697, \"d\": -49, \"e\": 78}", "seed": "10884901012105301723", "semantic_fingerprint": "sha256:2719c1a3012a6696df0ef012008d5a3b29b7b2315ad00e96b3009ceac48b4db7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004280", "prompt": "Calculate: (67 + (-2 * (-10) + 77 / 667)) / (-4)", "solution_steps": ["Multiply: -2 * (-10) = 20", "Divide: 77 / 667 = 77/667", "Add: 20 + 77/667 = 13417/667", "Add: 67 + 13417/667 = 58106/667", "Divide: (58106/667) / (-4) = -29053/1334"], "final_answer": "-29053/1334", "answer_type": "rational", "kind": "expression", "math_text": "(67 + (-2 * (-10) + 77 / 667)) / (-4)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (+ (* n n) (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -2, \"c\": -10, \"d\": 77, \"e\": 667, \"f\": -4}", "seed": "17952050060001892349", "semantic_fingerprint": "sha256:14a9286b92aab9614d13d92d1b4c3f84d2e8b6efc674642f2e06497031fbb886", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004281", "prompt": "Find x: -5x - 56 = 4(x + 8) + 76", "solution_steps": ["Expand: -5x - 56 = 4x + 32 + 76", "Combine constants: -5x - 56 = 4x + 108", "Subtract 4x from both sides: -9x - 56 = 108", "Add 56 to both sides: -9x = 164", "Divide both sides by -9: x = -164/9"], "final_answer": "-164/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x - 56 = 4(x + 8) + 76", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 56, \"c\": 4, \"d\": 8, \"e\": 76}", "seed": "9416320300558467271", "semantic_fingerprint": "sha256:2e549df9ada182a028a4a54fd7e4243294a0a5fa7b0a80058350286195f3ad2c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004282", "prompt": "Evaluate: (-51 + (-519)) / (-854 / (-2)) * (-6)", "solution_steps": ["Add: -51 + (-519) = -570", "Divide: -854 / (-2) = 427", "Divide: -570 / 427 = -570/427", "Multiply: (-570/427) * (-6) = 3420/427"], "final_answer": "3420/427", "answer_type": "rational", "kind": "expression", "math_text": "(-51 + (-519)) / (-854 / (-2)) * (-6)", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -519, \"c\": -854, \"d\": -2, \"e\": -6}", "seed": "3100136622211111382", "semantic_fingerprint": "sha256:e5b5de5b1eb9c0ce0b8e745ff163531869b66055f07e9407a38a73e4215da0ee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004283", "prompt": "Compute: -99 + (-826) + 495 / ((6 + (-24)) * (-8))", "solution_steps": ["Add: -99 + (-826) = -925", "Add: 6 + (-24) = -18", "Multiply: -18 * (-8) = 144", "Divide: 495 / 144 = 55/16", "Add: -925 + 55/16 = -14745/16"], "final_answer": "-14745/16", "answer_type": "rational", "kind": "expression", "math_text": "-99 + (-826) + 495 / ((6 + (-24)) * (-8))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (/ n (* (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -826, \"c\": 495, \"d\": 6, \"e\": -24, \"f\": -8}", "seed": "6662862534380358630", "semantic_fingerprint": "sha256:eee7e1d0d74c4d05aa7521fc82e4d0dd87ad48ee1a47226ebfe8a45f8b4869c3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004284", "prompt": "Find x: 4(x + 6) - 2 = x - 26", "solution_steps": ["Expand: 4x + 24 - 2 = x - 26", "Combine constants: 4x + 22 = x - 26", "Subtract x from both sides: 3x + 22 = -26", "Subtract 22 from both sides: 3x = -48", "Divide both sides by 3: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 6) - 2 = x - 26", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 2, \"e\": -26, \"x\": -16}", "seed": "7929230363789720201", "semantic_fingerprint": "sha256:460888b8564e534898f3bfdb2c757730235fba2a91ccb4263b39af2768919431", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004285", "prompt": "Find x: 6(x - 72) + 61 = -11(x + 3) - 644", "solution_steps": ["Expand: 6x - 432 + 61 = -11(x + 3) - 644", "Expand: 6x - 432 + 61 = -11x - 33 - 644", "Combine constants: 6x - 371 = -11x - 33 - 644", "Combine constants: 6x - 371 = -11x - 677", "Add 11x to both sides: 17x - 371 = -677", "Add 371 to both sides: 17x = -306", "Divide both sides by 17: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 72) + 61 = -11(x + 3) - 644", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 72, \"c\": 61, \"d\": -11, \"e\": 3, \"g\": -644, \"x\": -18}", "seed": "1599202306723507911", "semantic_fingerprint": "sha256:37c727b61d1e26af124aa3458d678fde11d3c1d989f04ba3e7732c4c1dea1309", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004286", "prompt": "Solve for x: x - 399 = -2(x - 37) + 36", "solution_steps": ["Expand: x - 399 = -2x + 74 + 36", "Combine constants: x - 399 = -2x + 110", "Add 2x to both sides: 3x - 399 = 110", "Add 399 to both sides: 3x = 509", "Divide both sides by 3: x = 509/3"], "final_answer": "509/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 399 = -2(x - 37) + 36", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 399, \"b\": -2, \"c\": 37, \"d\": 36}", "seed": "7243025322167894596", "semantic_fingerprint": "sha256:312c271b10871df5154b137aeda6b3660cf8ddcb7d9c194cb102b072ff8f365a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004287", "prompt": "Solve for x: 2(x + 1) + 64 = 3(x + 96) - 225", "solution_steps": ["Expand: 2x + 2 + 64 = 3(x + 96) - 225", "Expand: 2x + 2 + 64 = 3x + 288 - 225", "Combine constants: 2x + 66 = 3x + 288 - 225", "Combine constants: 2x + 66 = 3x + 63", "Subtract 3x from both sides: -x + 66 = 63", "Subtract 66 from both sides: -x = -3", "Divide both sides by -1: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 1) + 64 = 3(x + 96) - 225", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 1, \"c\": 64, \"d\": 3, \"e\": 96, \"g\": -225, \"x\": 3}", "seed": "969549503282573795", "semantic_fingerprint": "sha256:1a79d1dca2fef4609822a85f8050a263412fed3732d54b2eaa2df5e80289bfce", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004288", "prompt": "What is 62 - (-5) / (5 / 924)?", "solution_steps": ["Divide: 5 / 924 = 5/924", "Divide: -5 / (5/924) = -924", "Subtract: 62 - (-924) = 986"], "final_answer": "986", "answer_type": "integer", "kind": "expression", "math_text": "62 - (-5) / (5 / 924)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -5, \"c\": 5, \"d\": 924}", "seed": "1331347708346842791", "semantic_fingerprint": "sha256:919536cd8457ff099d3263c19e11c71806d08a5268a0314b4561bd938b63baf9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004289", "prompt": "Compute: -64 + 37 - (-3) / (-52) + (-87)", "solution_steps": ["Add: -64 + 37 = -27", "Divide: -3 / (-52) = 3/52", "Subtract: -27 - 3/52 = -1407/52", "Add: -1407/52 + (-87) = -5931/52"], "final_answer": "-5931/52", "answer_type": "rational", "kind": "expression", "math_text": "-64 + 37 - (-3) / (-52) + (-87)", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": 37, \"c\": -3, \"d\": -52, \"e\": -87}", "seed": "2675928722071290769", "semantic_fingerprint": "sha256:6b2bfdd69b2658eeaf75513c4c13ca41e88e144c16a53a36b197cfffc4b22a1f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004290", "prompt": "Evaluate: 383 * (5 * (-3 - 51))", "solution_steps": ["Subtract: -3 - 51 = -54", "Multiply: 5 * (-54) = -270", "Multiply: 383 * (-270) = -103410"], "final_answer": "-103410", "answer_type": "integer", "kind": "expression", "math_text": "383 * (5 * (-3 - 51))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 383, \"b\": 5, \"c\": -3, \"d\": 51}", "seed": "1073150446186563881", "semantic_fingerprint": "sha256:1e46cb637bda3a71f3a18269ef5289bfb4d81a6e84cabdf00a4e3f850544bc38", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004291", "prompt": "What is -26 / (-72 * 94 / 53)?", "solution_steps": ["Multiply: -72 * 94 = -6768", "Divide: -6768 / 53 = -6768/53", "Divide: -26 / (-6768/53) = 689/3384"], "final_answer": "689/3384", "answer_type": "rational", "kind": "expression", "math_text": "-26 / (-72 * 94 / 53)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": -72, \"c\": 94, \"d\": 53}", "seed": "17714732022294229336", "semantic_fingerprint": "sha256:90c860796fd9c5e459640f32d81200332192ee477a2fea4116b4afd31baea483", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004292", "prompt": "Compute: -599 * (-2) * (-85) / (-3 + (-28))", "solution_steps": ["Multiply: -599 * (-2) = 1198", "Multiply: 1198 * (-85) = -101830", "Add: -3 + (-28) = -31", "Divide: -101830 / (-31) = 101830/31"], "final_answer": "101830/31", "answer_type": "rational", "kind": "expression", "math_text": "-599 * (-2) * (-85) / (-3 + (-28))", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -599, \"b\": -2, \"c\": -85, \"d\": -3, \"e\": -28}", "seed": "1242865999940470515", "semantic_fingerprint": "sha256:b9144a49d65e0572ce34a954ea557193b032e958144e33cd2021166fb33b852f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004293", "prompt": "Evaluate: 76 * 1 / (-7 + 53)", "solution_steps": ["Multiply: 76 * 1 = 76", "Add: -7 + 53 = 46", "Divide: 76 / 46 = 38/23"], "final_answer": "38/23", "answer_type": "rational", "kind": "expression", "math_text": "76 * 1 / (-7 + 53)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 1, \"c\": -7, \"d\": 53}", "seed": "11940574100637517247", "semantic_fingerprint": "sha256:bd42a931ea40821c4c66852fbd9d5051a8edf3db04678a5cfc3b2abab40d5ef9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004294", "prompt": "Solve the equation 8(x - 19) + 82 = 5(x + 6) - 142 for x.", "solution_steps": ["Expand: 8x - 152 + 82 = 5(x + 6) - 142", "Expand: 8x - 152 + 82 = 5x + 30 - 142", "Combine constants: 8x - 70 = 5x + 30 - 142", "Combine constants: 8x - 70 = 5x - 112", "Subtract 5x from both sides: 3x - 70 = -112", "Add 70 to both sides: 3x = -42", "Divide both sides by 3: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 19) + 82 = 5(x + 6) - 142", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 19, \"c\": 82, \"d\": 5, \"e\": 6, \"g\": -142, \"x\": -14}", "seed": "12645952124772498271", "semantic_fingerprint": "sha256:2f25e097d88dc2f721d4c1fdd9075c084776ad19bd637e78a034d3e8cf455bb3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004295", "prompt": "Solve for x: 10(x - 82) = 12x - 780", "solution_steps": ["Expand: 10x - 820 = 12x - 780", "Subtract 12x from both sides: -2x - 820 = -780", "Add 820 to both sides: -2x = 40", "Divide both sides by -2: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 82) = 12x - 780", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 82, \"c\": 12, \"e\": -780, \"x\": -20}", "seed": "2769195890832089917", "semantic_fingerprint": "sha256:e83fcf7e629f98367346234248fe545e6beff8c0f68341d3569f9e1de3ab6b41", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004296", "prompt": "Compute: -36 + (44 * (-58) + 5 * 566)", "solution_steps": ["Multiply: 44 * (-58) = -2552", "Multiply: 5 * 566 = 2830", "Add: -2552 + 2830 = 278", "Add: -36 + 278 = 242"], "final_answer": "242", "answer_type": "integer", "kind": "expression", "math_text": "-36 + (44 * (-58) + 5 * 566)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": 44, \"c\": -58, \"d\": 5, \"e\": 566}", "seed": "10378203694037379614", "semantic_fingerprint": "sha256:d8a2ace5c794c6bbe9eeb7768ff8cbc2f75682cb994b3b5faed5ccb1e87eae61", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004297", "prompt": "What value of x satisfies x - 3 = 3(x - 55) + 172?", "solution_steps": ["Expand: x - 3 = 3x - 165 + 172", "Combine constants: x - 3 = 3x + 7", "Subtract 3x from both sides: -2x - 3 = 7", "Add 3 to both sides: -2x = 10", "Divide both sides by -2: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3 = 3(x - 55) + 172", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 55, \"e\": 172, \"x\": -5}", "seed": "5246861855410799480", "semantic_fingerprint": "sha256:d5b9c1255d2ff5ab2cb8888e43e1cb4e493690b81f5d047144c764eecb5b589c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004298", "prompt": "Compute: 0 + (-8 / (-126) - 1 * (-666 - (-2)))", "solution_steps": ["Divide: -8 / (-126) = 4/63", "Subtract: -666 - (-2) = -664", "Multiply: 1 * (-664) = -664", "Subtract: 4/63 - (-664) = 41836/63", "Add: 0 + 41836/63 = 41836/63"], "final_answer": "41836/63", "answer_type": "rational", "kind": "expression", "math_text": "0 + (-8 / (-126) - 1 * (-666 - (-2)))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (/ n n) (* n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -8, \"c\": -126, \"d\": 1, \"e\": -666, \"f\": -2}", "seed": "14823886342421523596", "semantic_fingerprint": "sha256:361b0fa2d3d089de613fd1f43bacf2ab1a4609ec9aabc58ae3d41d046c013d3f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004299", "prompt": "Compute: 652 * (-8 / 43 / 9)", "solution_steps": ["Divide: -8 / 43 = -8/43", "Divide: (-8/43) / 9 = -8/387", "Multiply: 652 * (-8/387) = -5216/387"], "final_answer": "-5216/387", "answer_type": "rational", "kind": "expression", "math_text": "652 * (-8 / 43 / 9)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 652, \"b\": -8, \"c\": 43, \"d\": 9}", "seed": "821002754859024758", "semantic_fingerprint": "sha256:ca4583fc41573382f5a4481c46e3625c5429971fe6eb60be8fab05f2cef78b65", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004300", "prompt": "What value of x satisfies 6(x + 86) - 686 = x - 130?", "solution_steps": ["Expand: 6x + 516 - 686 = x - 130", "Combine constants: 6x - 170 = x - 130", "Subtract x from both sides: 5x - 170 = -130", "Add 170 to both sides: 5x = 40", "Divide both sides by 5: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 86) - 686 = x - 130", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 86, \"c\": 686, \"e\": -130, \"x\": 8}", "seed": "4572643335141940524", "semantic_fingerprint": "sha256:6ce00536405124c32662cf7de24f0c2ab2a8d4817381e8ead0e04c424a166c66", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004301", "prompt": "Compute: (6 - (-24)) * (-86 * (-326))", "solution_steps": ["Subtract: 6 - (-24) = 30", "Multiply: -86 * (-326) = 28036", "Multiply: 30 * 28036 = 841080"], "final_answer": "841080", "answer_type": "integer", "kind": "expression", "math_text": "(6 - (-24)) * (-86 * (-326))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -24, \"c\": -86, \"d\": -326}", "seed": "17796565660263832478", "semantic_fingerprint": "sha256:8ff915798db2abcdae0d972b69789e1aeba2bd393d7550f1c9d59e06d21046db", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004302", "prompt": "Calculate: (26 / (-49) + (-7)) * (-24)", "solution_steps": ["Divide: 26 / (-49) = -26/49", "Add: -26/49 + (-7) = -369/49", "Multiply: (-369/49) * (-24) = 8856/49"], "final_answer": "8856/49", "answer_type": "rational", "kind": "expression", "math_text": "(26 / (-49) + (-7)) * (-24)", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": -49, \"c\": -7, \"d\": -24}", "seed": "13879657275397179617", "semantic_fingerprint": "sha256:d56668ad09809b58288352641b2835436404e3a9f6d840161231f018ce2b71a4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004303", "prompt": "Solve for x: 4(x - 9) + 83 = 11x + 68", "solution_steps": ["Expand: 4x - 36 + 83 = 11x + 68", "Combine constants: 4x + 47 = 11x + 68", "Subtract 11x from both sides: -7x + 47 = 68", "Subtract 47 from both sides: -7x = 21", "Divide both sides by -7: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 9) + 83 = 11x + 68", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 83, \"d\": 11, \"f\": 68, \"x\": -3}", "seed": "11340800524766173384", "semantic_fingerprint": "sha256:babe0fc2e0319b8ed2c3455a0e3b4397169809980d90f0d956f492d0d455eadb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004304", "prompt": "Solve the equation -4(x + 69) - 6 = x - 377 for x.", "solution_steps": ["Expand: -4x - 276 - 6 = x - 377", "Combine constants: -4x - 282 = x - 377", "Subtract x from both sides: -5x - 282 = -377", "Add 282 to both sides: -5x = -95", "Divide both sides by -5: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 69) - 6 = x - 377", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 69, \"c\": 6, \"e\": -377, \"x\": 19}", "seed": "10984271903336678935", "semantic_fingerprint": "sha256:a6198c21cd47fa624d6ef0e6671fc3e40d381a46496700e23b27930eef25a389", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004305", "prompt": "Evaluate: (59 - 3) * (-13) * 4", "solution_steps": ["Subtract: 59 - 3 = 56", "Multiply: 56 * (-13) = -728", "Multiply: -728 * 4 = -2912"], "final_answer": "-2912", "answer_type": "integer", "kind": "expression", "math_text": "(59 - 3) * (-13) * 4", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": 3, \"c\": -13, \"d\": 4}", "seed": "16250564160874507887", "semantic_fingerprint": "sha256:fb08ba18443e60b5c79736610ad5e85fa33c0802b1c9a08e7433918adbad18ef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004306", "prompt": "Compute: (-995 - 0) * 74 * 4", "solution_steps": ["Subtract: -995 - 0 = -995", "Multiply: -995 * 74 = -73630", "Multiply: -73630 * 4 = -294520"], "final_answer": "-294520", "answer_type": "integer", "kind": "expression", "math_text": "(-995 - 0) * 74 * 4", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -995, \"b\": 0, \"c\": 74, \"d\": 4}", "seed": "4178584737936469174", "semantic_fingerprint": "sha256:1f175d05d3db9b436cf5ba14b81f0ee7c5493db4f93931227182fb640a4d90d2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004307", "prompt": "Solve the equation 6(x - 9) = 3x - 63 for x.", "solution_steps": ["Expand: 6x - 54 = 3x - 63", "Subtract 3x from both sides: 3x - 54 = -63", "Add 54 to both sides: 3x = -9", "Divide both sides by 3: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 9) = 3x - 63", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 3, \"d\": 63}", "seed": "9644344649829239337", "semantic_fingerprint": "sha256:7787e85076c388d93030d33d60196a91171e273941d96b10b3f533726f827cc1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004308", "prompt": "Solve the equation 8(x - 3) + 47 = -11(x + 8) - 22 for x.", "solution_steps": ["Expand: 8x - 24 + 47 = -11(x + 8) - 22", "Expand: 8x - 24 + 47 = -11x - 88 - 22", "Combine constants: 8x + 23 = -11x - 88 - 22", "Combine constants: 8x + 23 = -11x - 110", "Add 11x to both sides: 19x + 23 = -110", "Subtract 23 from both sides: 19x = -133", "Divide both sides by 19: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 3) + 47 = -11(x + 8) - 22", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 47, \"d\": -11, \"e\": 8, \"g\": -22, \"x\": -7}", "seed": "10555812224097490829", "semantic_fingerprint": "sha256:59bd9e4fd30fb0a6d35c8bb04ffb0de8b58f667f7ea2d54846d96697a1d45e5b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004309", "prompt": "Evaluate: -71 * 88 - (30 + 62 * 0 - (-859))", "solution_steps": ["Multiply: -71 * 88 = -6248", "Multiply: 62 * 0 = 0", "Add: 30 + 0 = 30", "Subtract: 30 - (-859) = 889", "Subtract: -6248 - 889 = -7137"], "final_answer": "-7137", "answer_type": "integer", "kind": "expression", "math_text": "-71 * 88 - (30 + 62 * 0 - (-859))", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (- (+ n (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 88, \"c\": 30, \"d\": 62, \"e\": 0, \"f\": -859}", "seed": "15439623135529049262", "semantic_fingerprint": "sha256:c92469f5a8f6705925fd85cb316c5a2392eb407cbaa6e9efe0639dfb30e89927", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004310", "prompt": "Calculate: 64 / (-1) - (-716) - 30", "solution_steps": ["Divide: 64 / (-1) = -64", "Subtract: -64 - (-716) = 652", "Subtract: 652 - 30 = 622"], "final_answer": "622", "answer_type": "integer", "kind": "expression", "math_text": "64 / (-1) - (-716) - 30", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": -1, \"c\": -716, \"d\": 30}", "seed": "479902220019727116", "semantic_fingerprint": "sha256:0489351990ecf468d9f04a32ab449b6bc0ea6465503ee00fae12df313792ab86", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004311", "prompt": "Solve for x: -5(x - 19) - 139 = 11(x - 4)", "solution_steps": ["Expand: -5x + 95 - 139 = 11(x - 4)", "Expand: -5x + 95 - 139 = 11x - 44", "Combine constants: -5x - 44 = 11x - 44", "Subtract 11x from both sides: -16x - 44 = -44", "Add 44 to both sides: -16x = 0", "Divide both sides by -16: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 19) - 139 = 11(x - 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 19, \"c\": 11, \"d\": 4, \"f\": -139, \"x\": 0}", "seed": "5435559228670172978", "semantic_fingerprint": "sha256:f9332254dd5dd2bf1f0c35e5a41aca89e17c708b4c3d67f970f3ff27efa87ff0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004312", "prompt": "Solve for x: -3x - 9 = 5(x + 40) + 566", "solution_steps": ["Expand: -3x - 9 = 5x + 200 + 566", "Combine constants: -3x - 9 = 5x + 766", "Subtract 5x from both sides: -8x - 9 = 766", "Add 9 to both sides: -8x = 775", "Divide both sides by -8: x = -775/8"], "final_answer": "-775/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x - 9 = 5(x + 40) + 566", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 9, \"c\": 5, \"d\": 40, \"e\": 566}", "seed": "17679299943108847271", "semantic_fingerprint": "sha256:70e1606536f9265ba78e1ef427bae2c7bcc83f51f8fcb940a76daefd820b314a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004313", "prompt": "What is 265 * (-525 / (240 / (7 * 4)))?", "solution_steps": ["Multiply: 7 * 4 = 28", "Divide: 240 / 28 = 60/7", "Divide: -525 / (60/7) = -245/4", "Multiply: 265 * (-245/4) = -64925/4"], "final_answer": "-64925/4", "answer_type": "rational", "kind": "expression", "math_text": "265 * (-525 / (240 / (7 * 4)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (/ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 265, \"b\": -525, \"c\": 240, \"d\": 7, \"e\": 4}", "seed": "14393732829402726774", "semantic_fingerprint": "sha256:291a9115d1351cec47a698a406e216a1cc1e03fd2d9b973d97fd845616a7fe7b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004314", "prompt": "What value of x satisfies 9(x + 68) + 42 = 12(x + 76) - 291?", "solution_steps": ["Expand: 9x + 612 + 42 = 12(x + 76) - 291", "Expand: 9x + 612 + 42 = 12x + 912 - 291", "Combine constants: 9x + 654 = 12x + 912 - 291", "Combine constants: 9x + 654 = 12x + 621", "Subtract 12x from both sides: -3x + 654 = 621", "Subtract 654 from both sides: -3x = -33", "Divide both sides by -3: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 68) + 42 = 12(x + 76) - 291", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 68, \"c\": 42, \"d\": 12, \"e\": 76, \"g\": -291, \"x\": 11}", "seed": "6810809223090166384", "semantic_fingerprint": "sha256:78e8bb32a8bb31d7d7d34753d9f6117426fa56564b73bed9f0feea87b735658a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004315", "prompt": "What is (27 - (-51)) * (-73 * 7)?", "solution_steps": ["Subtract: 27 - (-51) = 78", "Multiply: -73 * 7 = -511", "Multiply: 78 * (-511) = -39858"], "final_answer": "-39858", "answer_type": "integer", "kind": "expression", "math_text": "(27 - (-51)) * (-73 * 7)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": -51, \"c\": -73, \"d\": 7}", "seed": "641604311513710754", "semantic_fingerprint": "sha256:93ef6ff9cf35a3b0d9b9b471b10229a55cbd03f3a29ed9ef9eb2e56f1faa453e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004316", "prompt": "What is (-17 + 4 + (-140)) * ((-5 - (-36)) * 80)?", "solution_steps": ["Add: -17 + 4 = -13", "Add: -13 + (-140) = -153", "Subtract: -5 - (-36) = 31", "Multiply: 31 * 80 = 2480", "Multiply: -153 * 2480 = -379440"], "final_answer": "-379440", "answer_type": "integer", "kind": "expression", "math_text": "(-17 + 4 + (-140)) * ((-5 - (-36)) * 80)", "variable": null, "family": "expression_5op", "shape": "(* (+ (+ n n) n) (* (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": 4, \"c\": -140, \"d\": -5, \"e\": -36, \"f\": 80}", "seed": "14759010871107582347", "semantic_fingerprint": "sha256:f4165762cf3e3468dcabb9206f5fa6c925ea15562633648eb03718495a53aceb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004317", "prompt": "Compute: (449 - (-84)) / 131 * (-18 / 384 * 8)", "solution_steps": ["Subtract: 449 - (-84) = 533", "Divide: 533 / 131 = 533/131", "Divide: -18 / 384 = -3/64", "Multiply: (-3/64) * 8 = -3/8", "Multiply: (533/131) * (-3/8) = -1599/1048"], "final_answer": "-1599/1048", "answer_type": "rational", "kind": "expression", "math_text": "(449 - (-84)) / 131 * (-18 / 384 * 8)", "variable": null, "family": "expression_5op", "shape": "(* (/ (- n n) n) (* (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 449, \"b\": -84, \"c\": 131, \"d\": -18, \"e\": 384, \"f\": 8}", "seed": "1151582025510281435", "semantic_fingerprint": "sha256:e406d26179ef100e9ad30374b00a2a2c1c8a274aa4b3b3d002a63d52e331326a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004318", "prompt": "Evaluate: (23 - 82) * 7 * 8", "solution_steps": ["Subtract: 23 - 82 = -59", "Multiply: -59 * 7 = -413", "Multiply: -413 * 8 = -3304"], "final_answer": "-3304", "answer_type": "integer", "kind": "expression", "math_text": "(23 - 82) * 7 * 8", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 82, \"c\": 7, \"d\": 8}", "seed": "16687393394064185542", "semantic_fingerprint": "sha256:784794f26b6425a352e73e3bb0b728820244ade7a6951660020c6079661f7725", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004319", "prompt": "What is -3 + 10 + (-15) - 49 / 7?", "solution_steps": ["Add: -3 + 10 = 7", "Add: 7 + (-15) = -8", "Divide: 49 / 7 = 7", "Subtract: -8 - 7 = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "expression", "math_text": "-3 + 10 + (-15) - 49 / 7", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 10, \"c\": -15, \"d\": 49, \"e\": 7}", "seed": "7815890216133964415", "semantic_fingerprint": "sha256:8444d0f5f4593c46cb54633fbd24a0b14d9420e7b2b682127d10bc96e4f431b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004320", "prompt": "Solve for x: x - 46 = 10(x - 9) + 2", "solution_steps": ["Expand: x - 46 = 10x - 90 + 2", "Combine constants: x - 46 = 10x - 88", "Subtract 10x from both sides: -9x - 46 = -88", "Add 46 to both sides: -9x = -42", "Divide both sides by -9: x = 14/3"], "final_answer": "14/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 46 = 10(x - 9) + 2", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": 10, \"c\": 9, \"d\": 2}", "seed": "13687209146440037753", "semantic_fingerprint": "sha256:30d0f4e201f7a4a908c199d40f8949cc3106e778a75cedd31768a601ec4b7030", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004321", "prompt": "What is (377 - (-8) * 28 * 3) / 228 + (-34)?", "solution_steps": ["Multiply: -8 * 28 = -224", "Multiply: -224 * 3 = -672", "Subtract: 377 - (-672) = 1049", "Divide: 1049 / 228 = 1049/228", "Add: 1049/228 + (-34) = -6703/228"], "final_answer": "-6703/228", "answer_type": "rational", "kind": "expression", "math_text": "(377 - (-8) * 28 * 3) / 228 + (-34)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (- n (* (* n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 377, \"b\": -8, \"c\": 28, \"d\": 3, \"e\": 228, \"f\": -34}", "seed": "7390764652394185984", "semantic_fingerprint": "sha256:89f29c1f5b4b8fe3ccef58a5170d3b72abe330e7468f7670a97a3e0376d9f1d5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004322", "prompt": "Solve the equation 6(x + 70) + 58 = 3(x + 1) - 21 for x.", "solution_steps": ["Expand: 6x + 420 + 58 = 3(x + 1) - 21", "Expand: 6x + 420 + 58 = 3x + 3 - 21", "Combine constants: 6x + 478 = 3x + 3 - 21", "Combine constants: 6x + 478 = 3x - 18", "Subtract 3x from both sides: 3x + 478 = -18", "Subtract 478 from both sides: 3x = -496", "Divide both sides by 3: x = -496/3"], "final_answer": "-496/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 70) + 58 = 3(x + 1) - 21", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 70, \"c\": 58, \"d\": 3, \"e\": 1, \"f\": 21}", "seed": "3274262815242412007", "semantic_fingerprint": "sha256:a2eed89740a3782954d062b2f0c77edaef3dad382aa71bb4a9148a0ab33a5744", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004323", "prompt": "What value of x satisfies -3(x - 92) + 4 = 6(x + 3) - 62?", "solution_steps": ["Expand: -3x + 276 + 4 = 6(x + 3) - 62", "Expand: -3x + 276 + 4 = 6x + 18 - 62", "Combine constants: -3x + 280 = 6x + 18 - 62", "Combine constants: -3x + 280 = 6x - 44", "Subtract 6x from both sides: -9x + 280 = -44", "Subtract 280 from both sides: -9x = -324", "Divide both sides by -9: x = 36"], "final_answer": "36", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 92) + 4 = 6(x + 3) - 62", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 92, \"c\": 4, \"d\": 6, \"e\": 3, \"f\": 62}", "seed": "8421768436378501784", "semantic_fingerprint": "sha256:9bf3492b7f994f6db855e72c3d0e5db34173886aef05688be5d00afc95d1777a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004324", "prompt": "Compute: (-2 - (-5)) / (49 * 3)", "solution_steps": ["Subtract: -2 - (-5) = 3", "Multiply: 49 * 3 = 147", "Divide: 3 / 147 = 1/49"], "final_answer": "1/49", "answer_type": "rational", "kind": "expression", "math_text": "(-2 - (-5)) / (49 * 3)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -5, \"c\": 49, \"d\": 3}", "seed": "1686594335491049772", "semantic_fingerprint": "sha256:29a7ba5ddc5ce0ab0e6a897ff2868c0335c096d4e4c02e5762a17b9d7b2fc17a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004325", "prompt": "Find x: 8(x - 5) - 89 = -9(x - 14)", "solution_steps": ["Expand: 8x - 40 - 89 = -9(x - 14)", "Expand: 8x - 40 - 89 = -9x + 126", "Combine constants: 8x - 129 = -9x + 126", "Add 9x to both sides: 17x - 129 = 126", "Add 129 to both sides: 17x = 255", "Divide both sides by 17: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 5) - 89 = -9(x - 14)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"c\": -9, \"d\": 14, \"f\": -89, \"x\": 15}", "seed": "1541462594556868774", "semantic_fingerprint": "sha256:27164339f7cbc4b733d77e12edd81ad03fe8e6e2b4db6253f8e9259bed05e971", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004326", "prompt": "Solve the equation 5(x - 8) = 4x - 59 for x.", "solution_steps": ["Expand: 5x - 40 = 4x - 59", "Subtract 4x from both sides: x - 40 = -59", "Add 40 to both sides: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 8) = 4x - 59", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 4, \"e\": -59, \"x\": -19}", "seed": "17583183784237956127", "semantic_fingerprint": "sha256:30713bbed25446e311208c1554e5aa0818089f46a6c0dff28b8d43a3871e672a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004327", "prompt": "Find x: 5(x + 21) - 678 = x - 525", "solution_steps": ["Expand: 5x + 105 - 678 = x - 525", "Combine constants: 5x - 573 = x - 525", "Subtract x from both sides: 4x - 573 = -525", "Add 573 to both sides: 4x = 48", "Divide both sides by 4: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 21) - 678 = x - 525", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 21, \"c\": 678, \"e\": -525, \"x\": 12}", "seed": "4088843219429161809", "semantic_fingerprint": "sha256:26e838a1070be3046250ff3bc7733aa6ef1663d966aa665440d3d7996f4083bf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004328", "prompt": "Find x: 3(x + 8) - 52 = x - 22", "solution_steps": ["Expand: 3x + 24 - 52 = x - 22", "Combine constants: 3x - 28 = x - 22", "Subtract x from both sides: 2x - 28 = -22", "Add 28 to both sides: 2x = 6", "Divide both sides by 2: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 8) - 52 = x - 22", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 52, \"e\": -22, \"x\": 3}", "seed": "6445418649101879209", "semantic_fingerprint": "sha256:1b38515373d3e34ed1941e3c43540d35196f8bf09305eda9680bb69b5bd6da4c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004329", "prompt": "Evaluate: (3 + (-58) + (-5) / 10) / (36 / 1)", "solution_steps": ["Add: 3 + (-58) = -55", "Divide: -5 / 10 = -1/2", "Add: -55 + (-1/2) = -111/2", "Divide: 36 / 1 = 36", "Divide: (-111/2) / 36 = -37/24"], "final_answer": "-37/24", "answer_type": "rational", "kind": "expression", "math_text": "(3 + (-58) + (-5) / 10) / (36 / 1)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ n n) (/ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -58, \"c\": -5, \"d\": 10, \"e\": 36, \"f\": 1}", "seed": "11231266350142345961", "semantic_fingerprint": "sha256:cc3547ee42cafb21b91acf11aabfe2778a91903671ee535e71cb9c29f2fb80f3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004330", "prompt": "Find x: 6(x - 66) - 192 = 3(x - 185)", "solution_steps": ["Expand: 6x - 396 - 192 = 3(x - 185)", "Expand: 6x - 396 - 192 = 3x - 555", "Combine constants: 6x - 588 = 3x - 555", "Subtract 3x from both sides: 3x - 588 = -555", "Add 588 to both sides: 3x = 33", "Divide both sides by 3: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 66) - 192 = 3(x - 185)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 66, \"c\": 3, \"d\": 185, \"f\": -192, \"x\": 11}", "seed": "1310983549462029022", "semantic_fingerprint": "sha256:58969e56abe77778c28196e156defc4cfd02138c7759db4dfd435d9d019b4c18", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004331", "prompt": "What is (423 - 6) / (-94 * (-48))?", "solution_steps": ["Subtract: 423 - 6 = 417", "Multiply: -94 * (-48) = 4512", "Divide: 417 / 4512 = 139/1504"], "final_answer": "139/1504", "answer_type": "rational", "kind": "expression", "math_text": "(423 - 6) / (-94 * (-48))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 423, \"b\": 6, \"c\": -94, \"d\": -48}", "seed": "3723485206407725135", "semantic_fingerprint": "sha256:380bb46676882d7b99813f3bf5293b67bffec97a4d1750a8038812d4427ac25b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004332", "prompt": "Evaluate: (79 + 834) / (764 / (-4))", "solution_steps": ["Add: 79 + 834 = 913", "Divide: 764 / (-4) = -191", "Divide: 913 / (-191) = -913/191"], "final_answer": "-913/191", "answer_type": "rational", "kind": "expression", "math_text": "(79 + 834) / (764 / (-4))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": 834, \"c\": 764, \"d\": -4}", "seed": "4833458851364019380", "semantic_fingerprint": "sha256:9f9d8859e56916881196a7224d2a40f33a2cc1087c38ffc82c2fedb03db0d18f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004333", "prompt": "Calculate: -6 - (0 + (-3 - (-60)))", "solution_steps": ["Subtract: -3 - (-60) = 57", "Add: 0 + 57 = 57", "Subtract: -6 - 57 = -63"], "final_answer": "-63", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (0 + (-3 - (-60)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 0, \"c\": -3, \"d\": -60}", "seed": "12135835681805697927", "semantic_fingerprint": "sha256:7d1cb57ece6bfff1046dd21c4a5b4cf8743d596cbb937c4af3eae62c112a2564", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004334", "prompt": "Evaluate: -48 + 0 - (46 - (-6) - 802) * 50", "solution_steps": ["Add: -48 + 0 = -48", "Subtract: 46 - (-6) = 52", "Subtract: 52 - 802 = -750", "Multiply: -750 * 50 = -37500", "Subtract: -48 - (-37500) = 37452"], "final_answer": "37452", "answer_type": "integer", "kind": "expression", "math_text": "-48 + 0 - (46 - (-6) - 802) * 50", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (* (- (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": 0, \"c\": 46, \"d\": -6, \"e\": 802, \"f\": 50}", "seed": "15598346369177834048", "semantic_fingerprint": "sha256:9f612adf9a4542235366a82ac9077ef8c507d70834b0c5896296312c57650988", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004335", "prompt": "What is (8 - (-49)) * (-15 * 6)?", "solution_steps": ["Subtract: 8 - (-49) = 57", "Multiply: -15 * 6 = -90", "Multiply: 57 * (-90) = -5130"], "final_answer": "-5130", "answer_type": "integer", "kind": "expression", "math_text": "(8 - (-49)) * (-15 * 6)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -49, \"c\": -15, \"d\": 6}", "seed": "10659994138633068690", "semantic_fingerprint": "sha256:e01de92265deb90c754c40bc9f893bf79a60a0565130a411666c1534b4747d4b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004336", "prompt": "Compute: -12 * (-93) * (-14 + (9 + (-1) / 32))", "solution_steps": ["Multiply: -12 * (-93) = 1116", "Divide: -1 / 32 = -1/32", "Add: 9 + (-1/32) = 287/32", "Add: -14 + 287/32 = -161/32", "Multiply: 1116 * (-161/32) = -44919/8"], "final_answer": "-44919/8", "answer_type": "rational", "kind": "expression", "math_text": "-12 * (-93) * (-14 + (9 + (-1) / 32))", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (+ n (+ n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -93, \"c\": -14, \"d\": 9, \"e\": -1, \"f\": 32}", "seed": "14925290349321307474", "semantic_fingerprint": "sha256:bf18c951f245d0023351ff6d49294aaced3267402bd390182e8848c8c2e0e012", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004337", "prompt": "Evaluate: -4 * (-394 - 950 - (-941 + 69))", "solution_steps": ["Subtract: -394 - 950 = -1344", "Add: -941 + 69 = -872", "Subtract: -1344 - (-872) = -472", "Multiply: -4 * (-472) = 1888"], "final_answer": "1888", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (-394 - 950 - (-941 + 69))", "variable": null, "family": "expression_4op", "shape": "(* n (- (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -394, \"c\": 950, \"d\": -941, \"e\": 69}", "seed": "12614162697083156801", "semantic_fingerprint": "sha256:403c6e3f54ab237260d782e4dfc0e76ec4ab9e497de568d1229d38e66595219c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004338", "prompt": "Evaluate: -300 / 4 * (-818 / (4 * 930))", "solution_steps": ["Divide: -300 / 4 = -75", "Multiply: 4 * 930 = 3720", "Divide: -818 / 3720 = -409/1860", "Multiply: -75 * (-409/1860) = 2045/124"], "final_answer": "2045/124", "answer_type": "rational", "kind": "expression", "math_text": "-300 / 4 * (-818 / (4 * 930))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -300, \"b\": 4, \"c\": -818, \"d\": 4, \"e\": 930}", "seed": "3937135499993984795", "semantic_fingerprint": "sha256:da8551393f0376d78a1e3099f617bd185d89562a1294677c9f1f500516b44d0b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004339", "prompt": "Compute: -7 * (0 * (7 * (-95 / (-7))))", "solution_steps": ["Divide: -95 / (-7) = 95/7", "Multiply: 7 * (95/7) = 95", "Multiply: 0 * 95 = 0", "Multiply: -7 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (0 * (7 * (-95 / (-7))))", "variable": null, "family": "expression_4op", "shape": "(* n (* n (* n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 0, \"c\": 7, \"d\": -95, \"e\": -7}", "seed": "13344076646126017788", "semantic_fingerprint": "sha256:769d0737b1cd2d501493d8793b170040ea1114c1a3f3480482c8b9c25b81bceb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004340", "prompt": "What is 9 + 58 / (408 - 788)?", "solution_steps": ["Subtract: 408 - 788 = -380", "Divide: 58 / (-380) = -29/190", "Add: 9 + (-29/190) = 1681/190"], "final_answer": "1681/190", "answer_type": "rational", "kind": "expression", "math_text": "9 + 58 / (408 - 788)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 58, \"c\": 408, \"d\": 788}", "seed": "9957426416593283705", "semantic_fingerprint": "sha256:6e65524c22ad5a4a63763795fe20c5aab5f38cdfa626ae967275de978cac7e0c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004341", "prompt": "Find x: -12(x - 9) - 160 = 2(x - 5)", "solution_steps": ["Expand: -12x + 108 - 160 = 2(x - 5)", "Expand: -12x + 108 - 160 = 2x - 10", "Combine constants: -12x - 52 = 2x - 10", "Subtract 2x from both sides: -14x - 52 = -10", "Add 52 to both sides: -14x = 42", "Divide both sides by -14: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 9) - 160 = 2(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 9, \"c\": 2, \"d\": 5, \"f\": -160, \"x\": -3}", "seed": "11231318586989833634", "semantic_fingerprint": "sha256:4252c25a5603356d77d3d6f3255b009143e68b73ea329cd0af79a2f847b3bf9b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004342", "prompt": "What is (93 + (-4 - (-18 - (-12)))) * 680?", "solution_steps": ["Subtract: -18 - (-12) = -6", "Subtract: -4 - (-6) = 2", "Add: 93 + 2 = 95", "Multiply: 95 * 680 = 64600"], "final_answer": "64600", "answer_type": "integer", "kind": "expression", "math_text": "(93 + (-4 - (-18 - (-12)))) * 680", "variable": null, "family": "expression_4op", "shape": "(* (+ n (- n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": -4, \"c\": -18, \"d\": -12, \"e\": 680}", "seed": "6571663087821506997", "semantic_fingerprint": "sha256:f5d9e1c64c5d622ea007c0086184ebf36fec704a568a69a4f7f11cb7480f822b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004343", "prompt": "Evaluate: 0 + 0 / 38 / (-747)", "solution_steps": ["Divide: 0 / 38 = 0", "Divide: 0 / (-747) = 0", "Add: 0 + 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 + 0 / 38 / (-747)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 0, \"c\": 38, \"d\": -747}", "seed": "8470554567437277723", "semantic_fingerprint": "sha256:51044ca6b669089232be88926cd7f9becc0df219d0db0d179151d92f5854572c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004344", "prompt": "Solve the equation -9(x - 9) + 79 = 3(x + 137) - 970 for x.", "solution_steps": ["Expand: -9x + 81 + 79 = 3(x + 137) - 970", "Expand: -9x + 81 + 79 = 3x + 411 - 970", "Combine constants: -9x + 160 = 3x + 411 - 970", "Combine constants: -9x + 160 = 3x - 559", "Subtract 3x from both sides: -12x + 160 = -559", "Subtract 160 from both sides: -12x = -719", "Divide both sides by -12: x = 719/12"], "final_answer": "719/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 9) + 79 = 3(x + 137) - 970", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 9, \"c\": 79, \"d\": 3, \"e\": 137, \"f\": 970}", "seed": "16396511668274584903", "semantic_fingerprint": "sha256:91c5be862b5a7435a3f5d7eda68d4e6c6f67128a31d99d03bc80386552aea14a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004345", "prompt": "Solve the equation -2x - 89 = 5(x + 8) + 19 for x.", "solution_steps": ["Expand: -2x - 89 = 5x + 40 + 19", "Combine constants: -2x - 89 = 5x + 59", "Subtract 5x from both sides: -7x - 89 = 59", "Add 89 to both sides: -7x = 148", "Divide both sides by -7: x = -148/7"], "final_answer": "-148/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2x - 89 = 5(x + 8) + 19", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 89, \"c\": 5, \"d\": 8, \"e\": 19}", "seed": "8492682228242026483", "semantic_fingerprint": "sha256:6174e12dd5fb2a59acea7a14fbe0d4e33b11e6e75beaf10c9b8107870aac4351", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004346", "prompt": "Calculate: -94 * ((88 + (-1 + (-9))) / 1 - 30)", "solution_steps": ["Add: -1 + (-9) = -10", "Add: 88 + (-10) = 78", "Divide: 78 / 1 = 78", "Subtract: 78 - 30 = 48", "Multiply: -94 * 48 = -4512"], "final_answer": "-4512", "answer_type": "integer", "kind": "expression", "math_text": "-94 * ((88 + (-1 + (-9))) / 1 - 30)", "variable": null, "family": "expression_5op", "shape": "(* n (- (/ (+ n (+ n n)) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": 88, \"c\": -1, \"d\": -9, \"e\": 1, \"f\": 30}", "seed": "13795832916683770890", "semantic_fingerprint": "sha256:85bb4d0420eb8fd684973568a70b638502d67b79380a8eefa08df2373b2d809e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004347", "prompt": "Calculate: (-704 - 11) / (71 * 220)", "solution_steps": ["Subtract: -704 - 11 = -715", "Multiply: 71 * 220 = 15620", "Divide: -715 / 15620 = -13/284"], "final_answer": "-13/284", "answer_type": "rational", "kind": "expression", "math_text": "(-704 - 11) / (71 * 220)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -704, \"b\": 11, \"c\": 71, \"d\": 220}", "seed": "2318186085502525583", "semantic_fingerprint": "sha256:c7f0845670b56ca481cac89cef5a0bb0e6dbdc4023f732acd439284e79320348", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004348", "prompt": "What is (-6 * 476 + (-155)) * 56?", "solution_steps": ["Multiply: -6 * 476 = -2856", "Add: -2856 + (-155) = -3011", "Multiply: -3011 * 56 = -168616"], "final_answer": "-168616", "answer_type": "integer", "kind": "expression", "math_text": "(-6 * 476 + (-155)) * 56", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 476, \"c\": -155, \"d\": 56}", "seed": "1942450105956049458", "semantic_fingerprint": "sha256:d7bf5341760058dc9153e0a2cb70614e9659bd9b8e5c35d27923372ef14211fc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004349", "prompt": "Solve for x: 4(x - 4) - 75 = -3(x - 8) - 150", "solution_steps": ["Expand: 4x - 16 - 75 = -3(x - 8) - 150", "Expand: 4x - 16 - 75 = -3x + 24 - 150", "Combine constants: 4x - 91 = -3x + 24 - 150", "Combine constants: 4x - 91 = -3x - 126", "Add 3x to both sides: 7x - 91 = -126", "Add 91 to both sides: 7x = -35", "Divide both sides by 7: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 4) - 75 = -3(x - 8) - 150", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 4, \"c\": 75, \"d\": -3, \"e\": 8, \"g\": -150, \"x\": -5}", "seed": "7436511793143113044", "semantic_fingerprint": "sha256:8a837349859a58dbbca487014f09cdd156f6be71047dafa529f3a721428c7bea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004350", "prompt": "Compute: (0 + 0) / (61 / 6) * (-9)", "solution_steps": ["Add: 0 + 0 = 0", "Divide: 61 / 6 = 61/6", "Divide: 0 / (61/6) = 0", "Multiply: 0 * (-9) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(0 + 0) / (61 / 6) * (-9)", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 0, \"c\": 61, \"d\": 6, \"e\": -9}", "seed": "3656682868290727987", "semantic_fingerprint": "sha256:2a61303317a1c40b066ccd5370341b61868c2f8ece742196db624f3753ff6b48", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004351", "prompt": "What is (87 - (-93)) / (15 * (-88))?", "solution_steps": ["Subtract: 87 - (-93) = 180", "Multiply: 15 * (-88) = -1320", "Divide: 180 / (-1320) = -3/22"], "final_answer": "-3/22", "answer_type": "rational", "kind": "expression", "math_text": "(87 - (-93)) / (15 * (-88))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": -93, \"c\": 15, \"d\": -88}", "seed": "14873540570194571184", "semantic_fingerprint": "sha256:d1418874f6c08dc3d4a50b8f689650ef2f0deb57d1542fe72b80c332692a47d8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004352", "prompt": "Solve for x: 12(x - 53) + 364 = -4(x - 8)", "solution_steps": ["Expand: 12x - 636 + 364 = -4(x - 8)", "Expand: 12x - 636 + 364 = -4x + 32", "Combine constants: 12x - 272 = -4x + 32", "Add 4x to both sides: 16x - 272 = 32", "Add 272 to both sides: 16x = 304", "Divide both sides by 16: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 53) + 364 = -4(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 53, \"c\": -4, \"d\": 8, \"f\": 364, \"x\": 19}", "seed": "5480741923603181193", "semantic_fingerprint": "sha256:2b1d543f08311a9655ccfcab06a6fcf08b0b015e554a35553aede14f9573002d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004353", "prompt": "Evaluate: (32 - (-1)) * 8 / (78 * 62 - 7)", "solution_steps": ["Subtract: 32 - (-1) = 33", "Multiply: 33 * 8 = 264", "Multiply: 78 * 62 = 4836", "Subtract: 4836 - 7 = 4829", "Divide: 264 / 4829 = 24/439"], "final_answer": "24/439", "answer_type": "rational", "kind": "expression", "math_text": "(32 - (-1)) * 8 / (78 * 62 - 7)", "variable": null, "family": "expression_5op", "shape": "(/ (* (- n n) n) (- (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -1, \"c\": 8, \"d\": 78, \"e\": 62, \"f\": 7}", "seed": "9728669591407016724", "semantic_fingerprint": "sha256:aec279c24dc355966e2140b2e5a55cdf36bb9d6b2de323a9dd7f67110c7646db", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004354", "prompt": "Solve for x: 2(x - 278) + 67 = -11(x - 505)", "solution_steps": ["Expand: 2x - 556 + 67 = -11(x - 505)", "Expand: 2x - 556 + 67 = -11x + 5555", "Combine constants: 2x - 489 = -11x + 5555", "Add 11x to both sides: 13x - 489 = 5555", "Add 489 to both sides: 13x = 6044", "Divide both sides by 13: x = 6044/13"], "final_answer": "6044/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 278) + 67 = -11(x - 505)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 278, \"c\": 67, \"d\": -11, \"e\": 505}", "seed": "13568164655512442747", "semantic_fingerprint": "sha256:f497324c8382c200db130b4c6543e33d81bdc821fd830c4c82900d16defe1554", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004355", "prompt": "Find x: -2(x + 154) - 9 = x - 353", "solution_steps": ["Expand: -2x - 308 - 9 = x - 353", "Combine constants: -2x - 317 = x - 353", "Subtract x from both sides: -3x - 317 = -353", "Add 317 to both sides: -3x = -36", "Divide both sides by -3: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 154) - 9 = x - 353", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 154, \"c\": 9, \"e\": -353, \"x\": 12}", "seed": "10822931711211422640", "semantic_fingerprint": "sha256:4c6c1ee8e4d52e901e1b7e2061df20912eaf524fb6968dd044f1776fb83ca158", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004356", "prompt": "Evaluate: (-21 / 8 - 8 * (-75)) / 48", "solution_steps": ["Divide: -21 / 8 = -21/8", "Multiply: 8 * (-75) = -600", "Subtract: -21/8 - (-600) = 4779/8", "Divide: (4779/8) / 48 = 1593/128"], "final_answer": "1593/128", "answer_type": "rational", "kind": "expression", "math_text": "(-21 / 8 - 8 * (-75)) / 48", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": 8, \"c\": 8, \"d\": -75, \"e\": 48}", "seed": "16943558434117531150", "semantic_fingerprint": "sha256:ebb1a46867a0d2d895171148a3d56b33abaf63fb6800e5b16c1f0a5b76966d41", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004357", "prompt": "What is (9 + 3) / (-46 / (-9))?", "solution_steps": ["Add: 9 + 3 = 12", "Divide: -46 / (-9) = 46/9", "Divide: 12 / (46/9) = 54/23"], "final_answer": "54/23", "answer_type": "rational", "kind": "expression", "math_text": "(9 + 3) / (-46 / (-9))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": -46, \"d\": -9}", "seed": "9654323966569279159", "semantic_fingerprint": "sha256:e0c5049e8b4efbb671cd63225778325a395f22debe39a59e9abf175ba8bf70c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004358", "prompt": "What is -422 * (1 - 68 * (-4) + (-1))?", "solution_steps": ["Multiply: 68 * (-4) = -272", "Subtract: 1 - (-272) = 273", "Add: 273 + (-1) = 272", "Multiply: -422 * 272 = -114784"], "final_answer": "-114784", "answer_type": "integer", "kind": "expression", "math_text": "-422 * (1 - 68 * (-4) + (-1))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (- n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -422, \"b\": 1, \"c\": 68, \"d\": -4, \"e\": -1}", "seed": "1091248438284525417", "semantic_fingerprint": "sha256:5c44fafb09acda23106ae4e87a5f47240b5532d83509320515f37f4b2c3e3787", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004359", "prompt": "Calculate: -11 / 4 / (-337 / (58 * 8))", "solution_steps": ["Divide: -11 / 4 = -11/4", "Multiply: 58 * 8 = 464", "Divide: -337 / 464 = -337/464", "Divide: (-11/4) / (-337/464) = 1276/337"], "final_answer": "1276/337", "answer_type": "rational", "kind": "expression", "math_text": "-11 / 4 / (-337 / (58 * 8))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 4, \"c\": -337, \"d\": 58, \"e\": 8}", "seed": "9250999270290339940", "semantic_fingerprint": "sha256:e60eeac44c6c38983d15f9649af7ee1e1d5671e7e290c03bb0462bdaea1eb138", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004360", "prompt": "What value of x satisfies 9(x - 96) - 94 = 10(x - 938) - 45?", "solution_steps": ["Expand: 9x - 864 - 94 = 10(x - 938) - 45", "Expand: 9x - 864 - 94 = 10x - 9380 - 45", "Combine constants: 9x - 958 = 10x - 9380 - 45", "Combine constants: 9x - 958 = 10x - 9425", "Subtract 10x from both sides: -x - 958 = -9425", "Add 958 to both sides: -x = -8467", "Divide both sides by -1: x = 8467"], "final_answer": "8467", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 96) - 94 = 10(x - 938) - 45", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 96, \"c\": 94, \"d\": 10, \"e\": 938, \"f\": 45}", "seed": "4951297761897937954", "semantic_fingerprint": "sha256:23b0258c2f2e5a82e447f8bd91c648d1064fd61f2869c81a442c906851c4722c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004361", "prompt": "Solve the equation 10(x - 16) - 174 = 7(x - 43) for x.", "solution_steps": ["Expand: 10x - 160 - 174 = 7(x - 43)", "Expand: 10x - 160 - 174 = 7x - 301", "Combine constants: 10x - 334 = 7x - 301", "Subtract 7x from both sides: 3x - 334 = -301", "Add 334 to both sides: 3x = 33", "Divide both sides by 3: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 16) - 174 = 7(x - 43)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 16, \"c\": 7, \"d\": 43, \"f\": -174, \"x\": 11}", "seed": "7948952245386080635", "semantic_fingerprint": "sha256:62972a03a40b35c6d6a96a2d61a44acde71acae6ca0cfc1cbfc16a0d1efc5ebf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004362", "prompt": "Solve the equation 7(x + 779) - 6 = x - 46 for x.", "solution_steps": ["Expand: 7x + 5453 - 6 = x - 46", "Combine constants: 7x + 5447 = x - 46", "Subtract x from both sides: 6x + 5447 = -46", "Subtract 5447 from both sides: 6x = -5493", "Divide both sides by 6: x = -1831/2"], "final_answer": "-1831/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 779) - 6 = x - 46", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 779, \"c\": 6, \"d\": 46}", "seed": "3858453917232111369", "semantic_fingerprint": "sha256:c58b7954331154693dce5fc98e11a81808964a65409a99e61bee1e87db9f2dcf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004363", "prompt": "What is 72 - (51 + 33) + 917?", "solution_steps": ["Add: 51 + 33 = 84", "Subtract: 72 - 84 = -12", "Add: -12 + 917 = 905"], "final_answer": "905", "answer_type": "integer", "kind": "expression", "math_text": "72 - (51 + 33) + 917", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": 51, \"c\": 33, \"d\": 917}", "seed": "9579721512021166748", "semantic_fingerprint": "sha256:5d0557f1ae69ac9a5f33cd0a23f03a00b7fef555ce915dd8dc33c13e7c7f31f6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004364", "prompt": "Solve for x: 11(x - 24) + 902 = 4x + 750", "solution_steps": ["Expand: 11x - 264 + 902 = 4x + 750", "Combine constants: 11x + 638 = 4x + 750", "Subtract 4x from both sides: 7x + 638 = 750", "Subtract 638 from both sides: 7x = 112", "Divide both sides by 7: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 24) + 902 = 4x + 750", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 24, \"c\": 902, \"d\": 4, \"f\": 750, \"x\": 16}", "seed": "6451477855127770381", "semantic_fingerprint": "sha256:95a5a75f5f44c6fd1a745fb8071cfe27905cddd06a4ee55b26b6d6c216506486", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004365", "prompt": "Find x: -9(x + 75) + 3 = 4(x + 3) - 658", "solution_steps": ["Expand: -9x - 675 + 3 = 4(x + 3) - 658", "Expand: -9x - 675 + 3 = 4x + 12 - 658", "Combine constants: -9x - 672 = 4x + 12 - 658", "Combine constants: -9x - 672 = 4x - 646", "Subtract 4x from both sides: -13x - 672 = -646", "Add 672 to both sides: -13x = 26", "Divide both sides by -13: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 75) + 3 = 4(x + 3) - 658", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 75, \"c\": 3, \"d\": 4, \"e\": 3, \"g\": -658, \"x\": -2}", "seed": "9709087255037651305", "semantic_fingerprint": "sha256:3b6d76fc63f8cfd98bbfdafc99cc15d0e4197202686775bb3c73fd8e91067c92", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004366", "prompt": "What is (-6 - 242 + 96) * (-6)?", "solution_steps": ["Subtract: -6 - 242 = -248", "Add: -248 + 96 = -152", "Multiply: -152 * (-6) = 912"], "final_answer": "912", "answer_type": "integer", "kind": "expression", "math_text": "(-6 - 242 + 96) * (-6)", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 242, \"c\": 96, \"d\": -6}", "seed": "13765629319609119148", "semantic_fingerprint": "sha256:af5b4639deae7e4fe61ee1e6547ea6486214ce081bb3504c3b42146f81dacab9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004367", "prompt": "What is 8 - (-1 / 6 + (-39) + (-5))?", "solution_steps": ["Divide: -1 / 6 = -1/6", "Add: -1/6 + (-39) = -235/6", "Add: -235/6 + (-5) = -265/6", "Subtract: 8 - (-265/6) = 313/6"], "final_answer": "313/6", "answer_type": "rational", "kind": "expression", "math_text": "8 - (-1 / 6 + (-39) + (-5))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (+ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -1, \"c\": 6, \"d\": -39, \"e\": -5}", "seed": "8193989927749735134", "semantic_fingerprint": "sha256:6b1afe7b7e33350d91562089dfc4effccdf1aa4621dfff41748b7fc6a385cf11", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004368", "prompt": "Solve the equation -10(x - 19) - 180 = -3(x - 1) for x.", "solution_steps": ["Expand: -10x + 190 - 180 = -3(x - 1)", "Expand: -10x + 190 - 180 = -3x + 3", "Combine constants: -10x + 10 = -3x + 3", "Add 3x to both sides: -7x + 10 = 3", "Subtract 10 from both sides: -7x = -7", "Divide both sides by -7: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 19) - 180 = -3(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 19, \"c\": -3, \"d\": 1, \"f\": -180, \"x\": 1}", "seed": "2395744639928481349", "semantic_fingerprint": "sha256:66cc011d427ca3af543adbef8242d6f7ead02ffadb927a1816b17e2b61afd27f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004369", "prompt": "What value of x satisfies 8(x - 2) + 4 = 3x + 53?", "solution_steps": ["Expand: 8x - 16 + 4 = 3x + 53", "Combine constants: 8x - 12 = 3x + 53", "Subtract 3x from both sides: 5x - 12 = 53", "Add 12 to both sides: 5x = 65", "Divide both sides by 5: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 2) + 4 = 3x + 53", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 4, \"d\": 3, \"f\": 53, \"x\": 13}", "seed": "14163146528692033834", "semantic_fingerprint": "sha256:3a22bb198d2e3fee24fbac6f7a0b6d052790ea6098f001d961f3184712b691f2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004370", "prompt": "Compute: (309 - 5) / (32 * 6)", "solution_steps": ["Subtract: 309 - 5 = 304", "Multiply: 32 * 6 = 192", "Divide: 304 / 192 = 19/12"], "final_answer": "19/12", "answer_type": "rational", "kind": "expression", "math_text": "(309 - 5) / (32 * 6)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 309, \"b\": 5, \"c\": 32, \"d\": 6}", "seed": "10643103327977383003", "semantic_fingerprint": "sha256:f7d289739fe0cb4b67eb0c880cff954e192bd31ef0b8486fa77eb53522d5eed7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004371", "prompt": "What is -91 * 79 / (-6) / (-388)?", "solution_steps": ["Multiply: -91 * 79 = -7189", "Divide: -7189 / (-6) = 7189/6", "Divide: (7189/6) / (-388) = -7189/2328"], "final_answer": "-7189/2328", "answer_type": "rational", "kind": "expression", "math_text": "-91 * 79 / (-6) / (-388)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": 79, \"c\": -6, \"d\": -388}", "seed": "2368772581827256267", "semantic_fingerprint": "sha256:3c0ef1db2c38d61dbaa2c8f48170bfe7e3907f47d53e10c0fcc6a839bbd93256", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004372", "prompt": "Evaluate: 47 * 0 / (1 / (47 - (-57)))", "solution_steps": ["Multiply: 47 * 0 = 0", "Subtract: 47 - (-57) = 104", "Divide: 1 / 104 = 1/104", "Divide: 0 / (1/104) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "47 * 0 / (1 / (47 - (-57)))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": 0, \"c\": 1, \"d\": 47, \"e\": -57}", "seed": "2471865510512535040", "semantic_fingerprint": "sha256:190b7d298a5a417b8bc6c6934a592b0755f602a10ef68420f7f7b57f9741c80e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004373", "prompt": "Evaluate: (658 / (-393) + (-2)) / (-19 - (-67))", "solution_steps": ["Divide: 658 / (-393) = -658/393", "Add: -658/393 + (-2) = -1444/393", "Subtract: -19 - (-67) = 48", "Divide: (-1444/393) / 48 = -361/4716"], "final_answer": "-361/4716", "answer_type": "rational", "kind": "expression", "math_text": "(658 / (-393) + (-2)) / (-19 - (-67))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 658, \"b\": -393, \"c\": -2, \"d\": -19, \"e\": -67}", "seed": "10602476521212189596", "semantic_fingerprint": "sha256:07474c9adbefc40802ed37b7162a716f51a9cf01cc36586408c71a112a35b085", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004374", "prompt": "Solve for x: 5(x - 50) = 9x - 318", "solution_steps": ["Expand: 5x - 250 = 9x - 318", "Subtract 9x from both sides: -4x - 250 = -318", "Add 250 to both sides: -4x = -68", "Divide both sides by -4: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 50) = 9x - 318", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 50, \"c\": 9, \"e\": -318, \"x\": 17}", "seed": "814164083738333582", "semantic_fingerprint": "sha256:8ed5e4f18ebb7216f097311d2dcb9f070d62e25cc37800f4df74436f81a9a297", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004375", "prompt": "What is -80 + (532 + 940) - (-76)?", "solution_steps": ["Add: 532 + 940 = 1472", "Add: -80 + 1472 = 1392", "Subtract: 1392 - (-76) = 1468"], "final_answer": "1468", "answer_type": "integer", "kind": "expression", "math_text": "-80 + (532 + 940) - (-76)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 532, \"c\": 940, \"d\": -76}", "seed": "6110521715098418892", "semantic_fingerprint": "sha256:6f199cc7b6d558815cbc95b13570ba1161f6eca12bab8b943a2e564f21588bef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004376", "prompt": "Evaluate: 6 * (91 / (-8) / 23) * (5 / 55)", "solution_steps": ["Divide: 91 / (-8) = -91/8", "Divide: (-91/8) / 23 = -91/184", "Multiply: 6 * (-91/184) = -273/92", "Divide: 5 / 55 = 1/11", "Multiply: (-273/92) * (1/11) = -273/1012"], "final_answer": "-273/1012", "answer_type": "rational", "kind": "expression", "math_text": "6 * (91 / (-8) / 23) * (5 / 55)", "variable": null, "family": "expression_5op", "shape": "(* (* n (/ (/ n n) n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 91, \"c\": -8, \"d\": 23, \"e\": 5, \"f\": 55}", "seed": "4346544208261780294", "semantic_fingerprint": "sha256:cdc343120eb82bb556d0a65daa7bb4f06795d7542b997e190a602228a64e8a5f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004377", "prompt": "Calculate: (583 - 474) * (-277 / (-8))", "solution_steps": ["Subtract: 583 - 474 = 109", "Divide: -277 / (-8) = 277/8", "Multiply: 109 * (277/8) = 30193/8"], "final_answer": "30193/8", "answer_type": "rational", "kind": "expression", "math_text": "(583 - 474) * (-277 / (-8))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 583, \"b\": 474, \"c\": -277, \"d\": -8}", "seed": "6733124456027981340", "semantic_fingerprint": "sha256:faffb0e2a7891b014aa5f15fcb13a88b39ad4db965c4c81da8bce86b5408af3c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004378", "prompt": "Solve the equation x - 56 = 6(x - 73) + 447 for x.", "solution_steps": ["Expand: x - 56 = 6x - 438 + 447", "Combine constants: x - 56 = 6x + 9", "Subtract 6x from both sides: -5x - 56 = 9", "Add 56 to both sides: -5x = 65", "Divide both sides by -5: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 56 = 6(x - 73) + 447", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 6, \"c\": 73, \"e\": 447, \"x\": -13}", "seed": "6856228927456052283", "semantic_fingerprint": "sha256:d7346317ab3178f36a60a344b4a81020d60be53864571d47e3bda0815dac8ddf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004379", "prompt": "What is (7 - (-8)) * (28 * (35 - 774) - 66)?", "solution_steps": ["Subtract: 7 - (-8) = 15", "Subtract: 35 - 774 = -739", "Multiply: 28 * (-739) = -20692", "Subtract: -20692 - 66 = -20758", "Multiply: 15 * (-20758) = -311370"], "final_answer": "-311370", "answer_type": "integer", "kind": "expression", "math_text": "(7 - (-8)) * (28 * (35 - 774) - 66)", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (- (* n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -8, \"c\": 28, \"d\": 35, \"e\": 774, \"f\": 66}", "seed": "6168791203474999583", "semantic_fingerprint": "sha256:4c464f5b8eaae79a44ff6a82182453745c1cad74c63bf39f29b3bdfcb3283d6b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004380", "prompt": "What is -7 - (-748) / (-74 / (-54))?", "solution_steps": ["Divide: -74 / (-54) = 37/27", "Divide: -748 / (37/27) = -20196/37", "Subtract: -7 - (-20196/37) = 19937/37"], "final_answer": "19937/37", "answer_type": "rational", "kind": "expression", "math_text": "-7 - (-748) / (-74 / (-54))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -748, \"c\": -74, \"d\": -54}", "seed": "2648847201593071862", "semantic_fingerprint": "sha256:f50b7bcb0afa91f5b68f10d0f0a305824f0f0b06a685ad9682e548ca8bea25a5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004381", "prompt": "What value of x satisfies 8(x - 1) - 152 = 3(x - 25)?", "solution_steps": ["Expand: 8x - 8 - 152 = 3(x - 25)", "Expand: 8x - 8 - 152 = 3x - 75", "Combine constants: 8x - 160 = 3x - 75", "Subtract 3x from both sides: 5x - 160 = -75", "Add 160 to both sides: 5x = 85", "Divide both sides by 5: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 1) - 152 = 3(x - 25)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": 3, \"d\": 25, \"f\": -152, \"x\": 17}", "seed": "6743929164447958433", "semantic_fingerprint": "sha256:6b3de78339a80e02048f78a2f8136955b9c6b635f5ba14bea8d5bd10c8ed383f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004382", "prompt": "Evaluate: (0 * 425 + 2) * (-72)", "solution_steps": ["Multiply: 0 * 425 = 0", "Add: 0 + 2 = 2", "Multiply: 2 * (-72) = -144"], "final_answer": "-144", "answer_type": "integer", "kind": "expression", "math_text": "(0 * 425 + 2) * (-72)", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 425, \"c\": 2, \"d\": -72}", "seed": "15981729167974920765", "semantic_fingerprint": "sha256:b82a09992282d3334cbf57bbf2f2ac6720fc4ff2ac581747259f77b1ba6f91e2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004383", "prompt": "Find x: -6(x - 9) + 12 = 12x + 156", "solution_steps": ["Expand: -6x + 54 + 12 = 12x + 156", "Combine constants: -6x + 66 = 12x + 156", "Subtract 12x from both sides: -18x + 66 = 156", "Subtract 66 from both sides: -18x = 90", "Divide both sides by -18: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 9) + 12 = 12x + 156", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 9, \"c\": 12, \"d\": 12, \"f\": 156, \"x\": -5}", "seed": "14388879706748016719", "semantic_fingerprint": "sha256:84e042b5e275c67ca564ccd642f509bb7efabf641618c525a6d47a5dcc37bb96", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004384", "prompt": "Calculate: (0 - (-1)) * (-167 * (-5))", "solution_steps": ["Subtract: 0 - (-1) = 1", "Multiply: -167 * (-5) = 835", "Multiply: 1 * 835 = 835"], "final_answer": "835", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-1)) * (-167 * (-5))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -1, \"c\": -167, \"d\": -5}", "seed": "17203893714945097077", "semantic_fingerprint": "sha256:5bd36f995585e56ea13b936c9eda4f8ccdfaa0fcbdbc64ac129270ce4256ed8e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004385", "prompt": "Solve for x: 8x - 443 = -4(x + 9) + 43", "solution_steps": ["Expand: 8x - 443 = -4x - 36 + 43", "Combine constants: 8x - 443 = -4x + 7", "Add 4x to both sides: 12x - 443 = 7", "Add 443 to both sides: 12x = 450", "Divide both sides by 12: x = 75/2"], "final_answer": "75/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 443 = -4(x + 9) + 43", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 443, \"c\": -4, \"d\": 9, \"e\": 43}", "seed": "1916776900814806353", "semantic_fingerprint": "sha256:f4bcd0000c4ca673d93a413985d3804cd7ff197ea81a0c86cfbd34c90d104c0c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004386", "prompt": "Find x: x - 9 = -6(x - 192) + 39", "solution_steps": ["Expand: x - 9 = -6x + 1152 + 39", "Combine constants: x - 9 = -6x + 1191", "Add 6x to both sides: 7x - 9 = 1191", "Add 9 to both sides: 7x = 1200", "Divide both sides by 7: x = 1200/7"], "final_answer": "1200/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 9 = -6(x - 192) + 39", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -6, \"c\": 192, \"d\": 39}", "seed": "6009313010659047816", "semantic_fingerprint": "sha256:78dbff3c41e15d790760d9f0e4ae871a88ae69955a652cdf473192f50240ce9c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004387", "prompt": "Compute: 38 - 15 * (-5) - 27", "solution_steps": ["Multiply: 15 * (-5) = -75", "Subtract: 38 - (-75) = 113", "Subtract: 113 - 27 = 86"], "final_answer": "86", "answer_type": "integer", "kind": "expression", "math_text": "38 - 15 * (-5) - 27", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 15, \"c\": -5, \"d\": 27}", "seed": "10883065550407782637", "semantic_fingerprint": "sha256:6e2907853f6d5876447d92acccc21902c6de4ce41ae74ac2e4c20e82e9274cce", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004388", "prompt": "What is -326 + (-2) - 43 + (-3)?", "solution_steps": ["Add: -326 + (-2) = -328", "Subtract: -328 - 43 = -371", "Add: -371 + (-3) = -374"], "final_answer": "-374", "answer_type": "integer", "kind": "expression", "math_text": "-326 + (-2) - 43 + (-3)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -326, \"b\": -2, \"c\": 43, \"d\": -3}", "seed": "17624994394671080572", "semantic_fingerprint": "sha256:db01f4c9f55046a8bbadb91bd2395f96783623aa5a12a04fd5a40928c9099dfa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004389", "prompt": "Compute: (75 - 0) * (-9) * 81", "solution_steps": ["Subtract: 75 - 0 = 75", "Multiply: 75 * (-9) = -675", "Multiply: -675 * 81 = -54675"], "final_answer": "-54675", "answer_type": "integer", "kind": "expression", "math_text": "(75 - 0) * (-9) * 81", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 0, \"c\": -9, \"d\": 81}", "seed": "7684547874189210842", "semantic_fingerprint": "sha256:9d4ec71aa2560cc0d3012a17e784f150875d712fb30813d8d4057b0635bdca64", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004390", "prompt": "What value of x satisfies 5(x - 92) + 734 = -4(x - 91)?", "solution_steps": ["Expand: 5x - 460 + 734 = -4(x - 91)", "Expand: 5x - 460 + 734 = -4x + 364", "Combine constants: 5x + 274 = -4x + 364", "Add 4x to both sides: 9x + 274 = 364", "Subtract 274 from both sides: 9x = 90", "Divide both sides by 9: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 92) + 734 = -4(x - 91)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 92, \"c\": -4, \"d\": 91, \"f\": 734, \"x\": 10}", "seed": "7438744591454149954", "semantic_fingerprint": "sha256:e5c35651c7cd6b1a3dd4408e84355b4ae902c279bed50396be9bae83da965d79", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004391", "prompt": "Calculate: 0 + (-204 / (-964) + (5 + 90))", "solution_steps": ["Divide: -204 / (-964) = 51/241", "Add: 5 + 90 = 95", "Add: 51/241 + 95 = 22946/241", "Add: 0 + 22946/241 = 22946/241"], "final_answer": "22946/241", "answer_type": "rational", "kind": "expression", "math_text": "0 + (-204 / (-964) + (5 + 90))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -204, \"c\": -964, \"d\": 5, \"e\": 90}", "seed": "5998099186492960695", "semantic_fingerprint": "sha256:0784f48ac5dda616e71c4aecd1e17f506d6e73dd1c4d11d8e841c405a643179d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004392", "prompt": "Calculate: 8 + (963 * 75 - 87) + (-500 + (-68))", "solution_steps": ["Multiply: 963 * 75 = 72225", "Subtract: 72225 - 87 = 72138", "Add: 8 + 72138 = 72146", "Add: -500 + (-68) = -568", "Add: 72146 + (-568) = 71578"], "final_answer": "71578", "answer_type": "integer", "kind": "expression", "math_text": "8 + (963 * 75 - 87) + (-500 + (-68))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (- (* n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 963, \"c\": 75, \"d\": 87, \"e\": -500, \"f\": -68}", "seed": "18361428034895996008", "semantic_fingerprint": "sha256:3bac3cdc9c46268a0fd7d5414306ef25b21d77c05358fbd645121d863520aa2d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004393", "prompt": "Calculate: 5 - (4 + (-97)) + (-9)", "solution_steps": ["Add: 4 + (-97) = -93", "Subtract: 5 - (-93) = 98", "Add: 98 + (-9) = 89"], "final_answer": "89", "answer_type": "integer", "kind": "expression", "math_text": "5 - (4 + (-97)) + (-9)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": -97, \"d\": -9}", "seed": "6265214447022357669", "semantic_fingerprint": "sha256:651c80ae86d8190aadc21df6749ea5de05b0eef79490495330e7be360ddea9d3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004394", "prompt": "What value of x satisfies 12(x - 6) - 206 = 6(x - 7) - 308?", "solution_steps": ["Expand: 12x - 72 - 206 = 6(x - 7) - 308", "Expand: 12x - 72 - 206 = 6x - 42 - 308", "Combine constants: 12x - 278 = 6x - 42 - 308", "Combine constants: 12x - 278 = 6x - 350", "Subtract 6x from both sides: 6x - 278 = -350", "Add 278 to both sides: 6x = -72", "Divide both sides by 6: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 6) - 206 = 6(x - 7) - 308", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 6, \"c\": 206, \"d\": 6, \"e\": 7, \"g\": -308, \"x\": -12}", "seed": "10283804400574470290", "semantic_fingerprint": "sha256:1880bef0978cddd8016ad27bd38448cec973ce68390c678d6466c1775cafb83a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004395", "prompt": "Calculate: (-99 / 3 + 0) / (51 - 55)", "solution_steps": ["Divide: -99 / 3 = -33", "Add: -33 + 0 = -33", "Subtract: 51 - 55 = -4", "Divide: -33 / (-4) = 33/4"], "final_answer": "33/4", "answer_type": "rational", "kind": "expression", "math_text": "(-99 / 3 + 0) / (51 - 55)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": 3, \"c\": 0, \"d\": 51, \"e\": 55}", "seed": "7815405413448281837", "semantic_fingerprint": "sha256:ae1a30c52259308d33dfd8014a2519d2ba3eeb5f8cf399b76743b910021aac0e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004396", "prompt": "Evaluate: 244 - (288 / (5 * 27) - (-1) / (-9))", "solution_steps": ["Multiply: 5 * 27 = 135", "Divide: 288 / 135 = 32/15", "Divide: -1 / (-9) = 1/9", "Subtract: 32/15 - 1/9 = 91/45", "Subtract: 244 - 91/45 = 10889/45"], "final_answer": "10889/45", "answer_type": "rational", "kind": "expression", "math_text": "244 - (288 / (5 * 27) - (-1) / (-9))", "variable": null, "family": "expression_5op", "shape": "(- n (- (/ n (* n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 244, \"b\": 288, \"c\": 5, \"d\": 27, \"e\": -1, \"f\": -9}", "seed": "3900110878777655471", "semantic_fingerprint": "sha256:c2bf12f1d6050a4ff0ae79f608e3fa11081d1230ba8fcdf77412360f68ce55a2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004397", "prompt": "Calculate: (-2 + 1) / (-37 / 32)", "solution_steps": ["Add: -2 + 1 = -1", "Divide: -37 / 32 = -37/32", "Divide: -1 / (-37/32) = 32/37"], "final_answer": "32/37", "answer_type": "rational", "kind": "expression", "math_text": "(-2 + 1) / (-37 / 32)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 1, \"c\": -37, \"d\": 32}", "seed": "11845995780939635377", "semantic_fingerprint": "sha256:4aa37bbfdeb4d77b869453f40857a19381bf2b147e97ac8d14cb362614e607ac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004398", "prompt": "Calculate: 559 * (-2) - (37 - (6 - (-7))) * (-91)", "solution_steps": ["Multiply: 559 * (-2) = -1118", "Subtract: 6 - (-7) = 13", "Subtract: 37 - 13 = 24", "Multiply: 24 * (-91) = -2184", "Subtract: -1118 - (-2184) = 1066"], "final_answer": "1066", "answer_type": "integer", "kind": "expression", "math_text": "559 * (-2) - (37 - (6 - (-7))) * (-91)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (* (- n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 559, \"b\": -2, \"c\": 37, \"d\": 6, \"e\": -7, \"f\": -91}", "seed": "13934409526860965598", "semantic_fingerprint": "sha256:24ecf7c9b5d2b8254e7b8ca005a183a22c28aa11e2cf5951e4d7b7463359af08", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004399", "prompt": "Solve for x: x - 3 = 11(x - 67) + 804", "solution_steps": ["Expand: x - 3 = 11x - 737 + 804", "Combine constants: x - 3 = 11x + 67", "Subtract 11x from both sides: -10x - 3 = 67", "Add 3 to both sides: -10x = 70", "Divide both sides by -10: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3 = 11(x - 67) + 804", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 11, \"c\": 67, \"e\": 804, \"x\": -7}", "seed": "10308843332484739993", "semantic_fingerprint": "sha256:0ccd924d73c7533530696540f4eb91d85c7ec340c800e694fd5fa1ac1fc41583", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004400", "prompt": "Solve the equation 9(x - 255) + 96 = 4(x + 8) - 7 for x.", "solution_steps": ["Expand: 9x - 2295 + 96 = 4(x + 8) - 7", "Expand: 9x - 2295 + 96 = 4x + 32 - 7", "Combine constants: 9x - 2199 = 4x + 32 - 7", "Combine constants: 9x - 2199 = 4x + 25", "Subtract 4x from both sides: 5x - 2199 = 25", "Add 2199 to both sides: 5x = 2224", "Divide both sides by 5: x = 2224/5"], "final_answer": "2224/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 255) + 96 = 4(x + 8) - 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 255, \"c\": 96, \"d\": 4, \"e\": 8, \"f\": 7}", "seed": "5816577380384039161", "semantic_fingerprint": "sha256:a858c84de3154dd07a7fc040df640df8a959f24e989680cc0eea24af8d1abd08", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004401", "prompt": "What value of x satisfies 3x - 68 = 12(x + 1) + 37?", "solution_steps": ["Expand: 3x - 68 = 12x + 12 + 37", "Combine constants: 3x - 68 = 12x + 49", "Subtract 12x from both sides: -9x - 68 = 49", "Add 68 to both sides: -9x = 117", "Divide both sides by -9: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 68 = 12(x + 1) + 37", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 68, \"c\": 12, \"d\": 1, \"e\": 37}", "seed": "7488587192041073381", "semantic_fingerprint": "sha256:e9a3d6581de96c904a3cebf0151d26aed415e45a5738b17f4fd78fd87c167610", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004402", "prompt": "Solve for x: 6(x - 83) - 59 = 10(x - 9) - 503", "solution_steps": ["Expand: 6x - 498 - 59 = 10(x - 9) - 503", "Expand: 6x - 498 - 59 = 10x - 90 - 503", "Combine constants: 6x - 557 = 10x - 90 - 503", "Combine constants: 6x - 557 = 10x - 593", "Subtract 10x from both sides: -4x - 557 = -593", "Add 557 to both sides: -4x = -36", "Divide both sides by -4: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 83) - 59 = 10(x - 9) - 503", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 83, \"c\": 59, \"d\": 10, \"e\": 9, \"g\": -503, \"x\": 9}", "seed": "11631516572559662905", "semantic_fingerprint": "sha256:b9d1a402e681f0d5cd7283c8a445d9eeac5ee09e43f90f9466b2afb2b7aa03b4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004403", "prompt": "Solve the equation x - 8 = 12(x - 94) + 8 for x.", "solution_steps": ["Expand: x - 8 = 12x - 1128 + 8", "Combine constants: x - 8 = 12x - 1120", "Subtract 12x from both sides: -11x - 8 = -1120", "Add 8 to both sides: -11x = -1112", "Divide both sides by -11: x = 1112/11"], "final_answer": "1112/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 8 = 12(x - 94) + 8", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 12, \"c\": 94, \"d\": 8}", "seed": "136697928032231121", "semantic_fingerprint": "sha256:ed8656d08831d534456fc19bfb0d140dfacb09baa6b2fbb7c115e4651afda838", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004404", "prompt": "Compute: 36 - (167 + (-845 - (-326)))", "solution_steps": ["Subtract: -845 - (-326) = -519", "Add: 167 + (-519) = -352", "Subtract: 36 - (-352) = 388"], "final_answer": "388", "answer_type": "integer", "kind": "expression", "math_text": "36 - (167 + (-845 - (-326)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": 167, \"c\": -845, \"d\": -326}", "seed": "18228571487828381925", "semantic_fingerprint": "sha256:11a93bc75f226c4d52c8d21560c0d379e09ea09eaa47873d3c051d1da3350180", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004405", "prompt": "Compute: -7 - (-93 * (-60 - (-88)) - (-3))", "solution_steps": ["Subtract: -60 - (-88) = 28", "Multiply: -93 * 28 = -2604", "Subtract: -2604 - (-3) = -2601", "Subtract: -7 - (-2601) = 2594"], "final_answer": "2594", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (-93 * (-60 - (-88)) - (-3))", "variable": null, "family": "expression_4op", "shape": "(- n (- (* n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -93, \"c\": -60, \"d\": -88, \"e\": -3}", "seed": "12950731025735621570", "semantic_fingerprint": "sha256:c01fbb5ee002c05b3e1412b1524b15bdc7d8af88892a1e7c0cfce80b52d8ae2c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004406", "prompt": "What is 933 - 599 + (978 / (-19) - 1)?", "solution_steps": ["Subtract: 933 - 599 = 334", "Divide: 978 / (-19) = -978/19", "Subtract: -978/19 - 1 = -997/19", "Add: 334 + (-997/19) = 5349/19"], "final_answer": "5349/19", "answer_type": "rational", "kind": "expression", "math_text": "933 - 599 + (978 / (-19) - 1)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 933, \"b\": 599, \"c\": 978, \"d\": -19, \"e\": 1}", "seed": "13548381527850628247", "semantic_fingerprint": "sha256:a8238984ef582c317411cce035bb36b800a3428004cad51426c8fd5492fb5301", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004407", "prompt": "What is 28 - (52 + 4 - (-367 + 5 * 0))?", "solution_steps": ["Add: 52 + 4 = 56", "Multiply: 5 * 0 = 0", "Add: -367 + 0 = -367", "Subtract: 56 - (-367) = 423", "Subtract: 28 - 423 = -395"], "final_answer": "-395", "answer_type": "integer", "kind": "expression", "math_text": "28 - (52 + 4 - (-367 + 5 * 0))", "variable": null, "family": "expression_5op", "shape": "(- n (- (+ n n) (+ n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 52, \"c\": 4, \"d\": -367, \"e\": 5, \"f\": 0}", "seed": "18278463893073285212", "semantic_fingerprint": "sha256:f6624864f6774b85a941baf4440b5ee8842e99ed8a5619dacae5a4fa190158a9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004408", "prompt": "Solve the equation 3(x - 9) - 833 = -6(x - 50) for x.", "solution_steps": ["Expand: 3x - 27 - 833 = -6(x - 50)", "Expand: 3x - 27 - 833 = -6x + 300", "Combine constants: 3x - 860 = -6x + 300", "Add 6x to both sides: 9x - 860 = 300", "Add 860 to both sides: 9x = 1160", "Divide both sides by 9: x = 1160/9"], "final_answer": "1160/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 9) - 833 = -6(x - 50)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 833, \"d\": -6, \"e\": 50}", "seed": "2376928518059652633", "semantic_fingerprint": "sha256:612d17b08352596841d022de4640b53a29442d826c94c9957239bd548cdf9c09", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004409", "prompt": "What value of x satisfies x - 727 = 11(x - 77) + 320?", "solution_steps": ["Expand: x - 727 = 11x - 847 + 320", "Combine constants: x - 727 = 11x - 527", "Subtract 11x from both sides: -10x - 727 = -527", "Add 727 to both sides: -10x = 200", "Divide both sides by -10: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 727 = 11(x - 77) + 320", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 727, \"b\": 11, \"c\": 77, \"e\": 320, \"x\": -20}", "seed": "4211619079764916200", "semantic_fingerprint": "sha256:a59937b4be0f27d29b7075be5b4020b5f6254a7214fc5c5e27acbc9b3dc5e3cd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004410", "prompt": "Solve the equation -4(x - 4) + 49 = -9x + 125 for x.", "solution_steps": ["Expand: -4x + 16 + 49 = -9x + 125", "Combine constants: -4x + 65 = -9x + 125", "Add 9x to both sides: 5x + 65 = 125", "Subtract 65 from both sides: 5x = 60", "Divide both sides by 5: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 4) + 49 = -9x + 125", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 4, \"c\": 49, \"d\": -9, \"f\": 125, \"x\": 12}", "seed": "9613770544469501926", "semantic_fingerprint": "sha256:9fe5c5145f7f3b8024d292aa7428fac70b54e24cb80e86e85c8437ba3425aad1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004411", "prompt": "Compute: (28 - (-3)) / (-81) * (903 / (-3) * (-21))", "solution_steps": ["Subtract: 28 - (-3) = 31", "Divide: 31 / (-81) = -31/81", "Divide: 903 / (-3) = -301", "Multiply: -301 * (-21) = 6321", "Multiply: (-31/81) * 6321 = -65317/27"], "final_answer": "-65317/27", "answer_type": "rational", "kind": "expression", "math_text": "(28 - (-3)) / (-81) * (903 / (-3) * (-21))", "variable": null, "family": "expression_5op", "shape": "(* (/ (- n n) n) (* (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -3, \"c\": -81, \"d\": 903, \"e\": -3, \"f\": -21}", "seed": "4346934512747331589", "semantic_fingerprint": "sha256:68bf875e29e7e1397c41a23d104da02b34311dc7abf64de1bccac4cd79e2b97b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004412", "prompt": "Find x: 3(x - 7) - 5 = -2(x - 61) - 98", "solution_steps": ["Expand: 3x - 21 - 5 = -2(x - 61) - 98", "Expand: 3x - 21 - 5 = -2x + 122 - 98", "Combine constants: 3x - 26 = -2x + 122 - 98", "Combine constants: 3x - 26 = -2x + 24", "Add 2x to both sides: 5x - 26 = 24", "Add 26 to both sides: 5x = 50", "Divide both sides by 5: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 7) - 5 = -2(x - 61) - 98", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 5, \"d\": -2, \"e\": 61, \"g\": -98, \"x\": 10}", "seed": "9009746929943434299", "semantic_fingerprint": "sha256:4c67727803088d317eef1bf369c0f63256308de7502d341dd7bb5b1fdc2aa84b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004413", "prompt": "What is 7 / (14 + 3) / (3 / (-4))?", "solution_steps": ["Add: 14 + 3 = 17", "Divide: 7 / 17 = 7/17", "Divide: 3 / (-4) = -3/4", "Divide: (7/17) / (-3/4) = -28/51"], "final_answer": "-28/51", "answer_type": "rational", "kind": "expression", "math_text": "7 / (14 + 3) / (3 / (-4))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 14, \"c\": 3, \"d\": 3, \"e\": -4}", "seed": "7614274222604128680", "semantic_fingerprint": "sha256:78c37bff2a39448ce6c1a0f9ec4ed99eec289673a64ee26efe604cb3fd8e982f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004414", "prompt": "Calculate: -94 / (-112 + (-804)) * 527 * 5", "solution_steps": ["Add: -112 + (-804) = -916", "Divide: -94 / (-916) = 47/458", "Multiply: (47/458) * 527 = 24769/458", "Multiply: (24769/458) * 5 = 123845/458"], "final_answer": "123845/458", "answer_type": "rational", "kind": "expression", "math_text": "-94 / (-112 + (-804)) * 527 * 5", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": -112, \"c\": -804, \"d\": 527, \"e\": 5}", "seed": "3767947304861359912", "semantic_fingerprint": "sha256:e9bf7266bf3ff32d5e1254ddda2499df46a12508dcf066f60eae35cc7738868d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004415", "prompt": "What is (5 - (144 - (-304))) / 2 / 27?", "solution_steps": ["Subtract: 144 - (-304) = 448", "Subtract: 5 - 448 = -443", "Divide: -443 / 2 = -443/2", "Divide: (-443/2) / 27 = -443/54"], "final_answer": "-443/54", "answer_type": "rational", "kind": "expression", "math_text": "(5 - (144 - (-304))) / 2 / 27", "variable": null, "family": "expression_4op", "shape": "(/ (/ (- n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 144, \"c\": -304, \"d\": 2, \"e\": 27}", "seed": "13380161381988579296", "semantic_fingerprint": "sha256:228b34b26b454c7eccdcee253383eee5d64e1c950be23da62597b9ee5a4545a3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004416", "prompt": "What is 0 / (-24 - (-34) - 0)?", "solution_steps": ["Subtract: -24 - (-34) = 10", "Subtract: 10 - 0 = 10", "Divide: 0 / 10 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-24 - (-34) - 0)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -24, \"c\": -34, \"d\": 0}", "seed": "8273216560426948198", "semantic_fingerprint": "sha256:271ffed7a7e88bf56acc9349f7860baa76ee84a845980b2a4c5782f3fb357bf4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004417", "prompt": "Calculate: 9 + (-77 + (-38)) - (-10)", "solution_steps": ["Add: -77 + (-38) = -115", "Add: 9 + (-115) = -106", "Subtract: -106 - (-10) = -96"], "final_answer": "-96", "answer_type": "integer", "kind": "expression", "math_text": "9 + (-77 + (-38)) - (-10)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -77, \"c\": -38, \"d\": -10}", "seed": "3677996253517666528", "semantic_fingerprint": "sha256:dc926ddaf0829b2d74a229c762994d43305a5bab495e0f357f5bf16ba8151562", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004418", "prompt": "Compute: 99 * 82 / 17 / 2", "solution_steps": ["Multiply: 99 * 82 = 8118", "Divide: 8118 / 17 = 8118/17", "Divide: (8118/17) / 2 = 4059/17"], "final_answer": "4059/17", "answer_type": "rational", "kind": "expression", "math_text": "99 * 82 / 17 / 2", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": 82, \"c\": 17, \"d\": 2}", "seed": "6189751563868493363", "semantic_fingerprint": "sha256:819fef4dca4f853309b87a361397f600f59e06e63840f46ef7b0eb0134388b43", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004419", "prompt": "Find x: 5(x - 5) + 730 = 4x + 721", "solution_steps": ["Expand: 5x - 25 + 730 = 4x + 721", "Combine constants: 5x + 705 = 4x + 721", "Subtract 4x from both sides: x + 705 = 721", "Subtract 705 from both sides: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 5) + 730 = 4x + 721", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 5, \"c\": 730, \"d\": 4, \"f\": 721, \"x\": 16}", "seed": "2267221635546255947", "semantic_fingerprint": "sha256:f61c444f9bcf6b0527f235bc2b8c50c27bbf3f472a9fb063e776ce9f776c42db", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004420", "prompt": "Solve for x: 10(x - 844) - 8 = 6(x - 9) - 8", "solution_steps": ["Expand: 10x - 8440 - 8 = 6(x - 9) - 8", "Expand: 10x - 8440 - 8 = 6x - 54 - 8", "Combine constants: 10x - 8448 = 6x - 54 - 8", "Combine constants: 10x - 8448 = 6x - 62", "Subtract 6x from both sides: 4x - 8448 = -62", "Add 8448 to both sides: 4x = 8386", "Divide both sides by 4: x = 4193/2"], "final_answer": "4193/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 844) - 8 = 6(x - 9) - 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 844, \"c\": 8, \"d\": 6, \"e\": 9, \"f\": 8}", "seed": "4851433495261402396", "semantic_fingerprint": "sha256:68517065cab63a901ab96b1a85be9d7397347ff6b99517ae7eef27f72d397d21", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004421", "prompt": "Find x: -9(x - 4) + 6 = 4(x + 576) - 34", "solution_steps": ["Expand: -9x + 36 + 6 = 4(x + 576) - 34", "Expand: -9x + 36 + 6 = 4x + 2304 - 34", "Combine constants: -9x + 42 = 4x + 2304 - 34", "Combine constants: -9x + 42 = 4x + 2270", "Subtract 4x from both sides: -13x + 42 = 2270", "Subtract 42 from both sides: -13x = 2228", "Divide both sides by -13: x = -2228/13"], "final_answer": "-2228/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 4) + 6 = 4(x + 576) - 34", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 4, \"c\": 6, \"d\": 4, \"e\": 576, \"f\": 34}", "seed": "6297815920306469701", "semantic_fingerprint": "sha256:9b195336fd14ff1e304d09593476ee4b72b3ed1ec64a0cc13f42453739bb4d25", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004422", "prompt": "Calculate: 3 * (-57 - (-9) + (-93) * 30)", "solution_steps": ["Subtract: -57 - (-9) = -48", "Multiply: -93 * 30 = -2790", "Add: -48 + (-2790) = -2838", "Multiply: 3 * (-2838) = -8514"], "final_answer": "-8514", "answer_type": "integer", "kind": "expression", "math_text": "3 * (-57 - (-9) + (-93) * 30)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (- n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -57, \"c\": -9, \"d\": -93, \"e\": 30}", "seed": "2427723784568663043", "semantic_fingerprint": "sha256:271255b21ddb306bd058efd55119cc67f652cc8b7639e75478a81b033ecfcce9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004423", "prompt": "Evaluate: (817 - (-54 + (51 + 256 - 38))) * (-61)", "solution_steps": ["Add: 51 + 256 = 307", "Subtract: 307 - 38 = 269", "Add: -54 + 269 = 215", "Subtract: 817 - 215 = 602", "Multiply: 602 * (-61) = -36722"], "final_answer": "-36722", "answer_type": "integer", "kind": "expression", "math_text": "(817 - (-54 + (51 + 256 - 38))) * (-61)", "variable": null, "family": "expression_5op", "shape": "(* (- n (+ n (- (+ n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 817, \"b\": -54, \"c\": 51, \"d\": 256, \"e\": 38, \"f\": -61}", "seed": "14530006062399859965", "semantic_fingerprint": "sha256:3894c52df1f2273b8928298ba9d41f097f139fc7f133b6ad7ff758615ac634fe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004424", "prompt": "Compute: -6 / 267 * (-2) + (2 + 27)", "solution_steps": ["Divide: -6 / 267 = -2/89", "Multiply: (-2/89) * (-2) = 4/89", "Add: 2 + 27 = 29", "Add: 4/89 + 29 = 2585/89"], "final_answer": "2585/89", "answer_type": "rational", "kind": "expression", "math_text": "-6 / 267 * (-2) + (2 + 27)", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 267, \"c\": -2, \"d\": 2, \"e\": 27}", "seed": "2039224833006689121", "semantic_fingerprint": "sha256:3d9d50d4f4946868795b7380e179056f829d75e02f5b4c508b28c66b6b0a41b0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004425", "prompt": "Compute: -66 / 62 * (-81) + (-503 + (-599))", "solution_steps": ["Divide: -66 / 62 = -33/31", "Multiply: (-33/31) * (-81) = 2673/31", "Add: -503 + (-599) = -1102", "Add: 2673/31 + (-1102) = -31489/31"], "final_answer": "-31489/31", "answer_type": "rational", "kind": "expression", "math_text": "-66 / 62 * (-81) + (-503 + (-599))", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": 62, \"c\": -81, \"d\": -503, \"e\": -599}", "seed": "11663691882274369198", "semantic_fingerprint": "sha256:b63d0c2a5326b9f49cfd9605e3770198a93905183969b1a996d2f1d21c546254", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004426", "prompt": "Evaluate: -1 - (302 + 93) + 1 / (4 - 72)", "solution_steps": ["Add: 302 + 93 = 395", "Subtract: -1 - 395 = -396", "Subtract: 4 - 72 = -68", "Divide: 1 / (-68) = -1/68", "Add: -396 + (-1/68) = -26929/68"], "final_answer": "-26929/68", "answer_type": "rational", "kind": "expression", "math_text": "-1 - (302 + 93) + 1 / (4 - 72)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (+ n n)) (/ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 302, \"c\": 93, \"d\": 1, \"e\": 4, \"f\": 72}", "seed": "11427199213888075475", "semantic_fingerprint": "sha256:0a6a26a317dfadcb9b19cb40374ba31ba8117edff8dfe0182284b2b0539da5b9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004427", "prompt": "Solve the equation 7(x + 14) + 9 = 11(x + 37) - 360 for x.", "solution_steps": ["Expand: 7x + 98 + 9 = 11(x + 37) - 360", "Expand: 7x + 98 + 9 = 11x + 407 - 360", "Combine constants: 7x + 107 = 11x + 407 - 360", "Combine constants: 7x + 107 = 11x + 47", "Subtract 11x from both sides: -4x + 107 = 47", "Subtract 107 from both sides: -4x = -60", "Divide both sides by -4: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 14) + 9 = 11(x + 37) - 360", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 14, \"c\": 9, \"d\": 11, \"e\": 37, \"g\": -360, \"x\": 15}", "seed": "16946940842312015827", "semantic_fingerprint": "sha256:8fc6f41a6e136b8afd0fcc3d01c57ca96ad6baf02d57ffaa04df591b6e25e52a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004428", "prompt": "Compute: ((-9 - (-7)) / (-9) - 53) / 1", "solution_steps": ["Subtract: -9 - (-7) = -2", "Divide: -2 / (-9) = 2/9", "Subtract: 2/9 - 53 = -475/9", "Divide: (-475/9) / 1 = -475/9"], "final_answer": "-475/9", "answer_type": "rational", "kind": "expression", "math_text": "((-9 - (-7)) / (-9) - 53) / 1", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -7, \"c\": -9, \"d\": 53, \"e\": 1}", "seed": "7519041556995692526", "semantic_fingerprint": "sha256:2b06d74808da6277ecaf0d935f62a2bc56060d38f9550f7e2e06f3dcba31d23b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004429", "prompt": "Evaluate: -23 * (3 + (-472) - (-8)) * (64 / (-988))", "solution_steps": ["Add: 3 + (-472) = -469", "Subtract: -469 - (-8) = -461", "Multiply: -23 * (-461) = 10603", "Divide: 64 / (-988) = -16/247", "Multiply: 10603 * (-16/247) = -169648/247"], "final_answer": "-169648/247", "answer_type": "rational", "kind": "expression", "math_text": "-23 * (3 + (-472) - (-8)) * (64 / (-988))", "variable": null, "family": "expression_5op", "shape": "(* (* n (- (+ n n) n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": 3, \"c\": -472, \"d\": -8, \"e\": 64, \"f\": -988}", "seed": "2972311612889894567", "semantic_fingerprint": "sha256:f2101841a9871e9ae569d63c81e6af85cf992c0341eef84d3b6df623afaddd5a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004430", "prompt": "Solve the equation 6(x + 68) + 17 = 10(x + 496) - 92 for x.", "solution_steps": ["Expand: 6x + 408 + 17 = 10(x + 496) - 92", "Expand: 6x + 408 + 17 = 10x + 4960 - 92", "Combine constants: 6x + 425 = 10x + 4960 - 92", "Combine constants: 6x + 425 = 10x + 4868", "Subtract 10x from both sides: -4x + 425 = 4868", "Subtract 425 from both sides: -4x = 4443", "Divide both sides by -4: x = -4443/4"], "final_answer": "-4443/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 68) + 17 = 10(x + 496) - 92", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 68, \"c\": 17, \"d\": 10, \"e\": 496, \"f\": 92}", "seed": "18082530377511446895", "semantic_fingerprint": "sha256:d605011e4eb7e43d8771d56c74bdb5ed8c8fa34f12de3b6a3e8be9d318631fee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004431", "prompt": "Evaluate: 530 + (6 / 7 - (-34) * (-48) * 32)", "solution_steps": ["Divide: 6 / 7 = 6/7", "Multiply: -34 * (-48) = 1632", "Multiply: 1632 * 32 = 52224", "Subtract: 6/7 - 52224 = -365562/7", "Add: 530 + (-365562/7) = -361852/7"], "final_answer": "-361852/7", "answer_type": "rational", "kind": "expression", "math_text": "530 + (6 / 7 - (-34) * (-48) * 32)", "variable": null, "family": "expression_5op", "shape": "(+ n (- (/ n n) (* (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 530, \"b\": 6, \"c\": 7, \"d\": -34, \"e\": -48, \"f\": 32}", "seed": "4978688412829683541", "semantic_fingerprint": "sha256:6c2d94c4589035c03eea83c8ff21abbe0ad86defb7ad7dc1208c89c23241cd51", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004432", "prompt": "Compute: (903 - 1) / (-9 / (18 + 3))", "solution_steps": ["Subtract: 903 - 1 = 902", "Add: 18 + 3 = 21", "Divide: -9 / 21 = -3/7", "Divide: 902 / (-3/7) = -6314/3"], "final_answer": "-6314/3", "answer_type": "rational", "kind": "expression", "math_text": "(903 - 1) / (-9 / (18 + 3))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 903, \"b\": 1, \"c\": -9, \"d\": 18, \"e\": 3}", "seed": "8034810610233050865", "semantic_fingerprint": "sha256:09f162c1daab4b6c2a6c0c7ac4dc44e383959bc3574060df5cb9bfd3a6d7a18a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004433", "prompt": "Calculate: -8 / 700 + 42 / 39", "solution_steps": ["Divide: -8 / 700 = -2/175", "Divide: 42 / 39 = 14/13", "Add: -2/175 + 14/13 = 2424/2275"], "final_answer": "2424/2275", "answer_type": "rational", "kind": "expression", "math_text": "-8 / 700 + 42 / 39", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 700, \"c\": 42, \"d\": 39}", "seed": "2126142921147454199", "semantic_fingerprint": "sha256:8b1f844317d602e9c606dba86e69a179aca0a68af1d8adbeb27e68a31847bf85", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004434", "prompt": "Solve for x: x - 68 = 7(x - 7) + 77", "solution_steps": ["Expand: x - 68 = 7x - 49 + 77", "Combine constants: x - 68 = 7x + 28", "Subtract 7x from both sides: -6x - 68 = 28", "Add 68 to both sides: -6x = 96", "Divide both sides by -6: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 68 = 7(x - 7) + 77", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 7, \"c\": 7, \"e\": 77, \"x\": -16}", "seed": "6941937441309001448", "semantic_fingerprint": "sha256:a7080bed0da17fac54e7a3b9756569ffb509f729d5980f3df5fd385e5dfce4a6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004435", "prompt": "Evaluate: (-314 - (-1)) / (8 - (-7) * 3)", "solution_steps": ["Subtract: -314 - (-1) = -313", "Multiply: -7 * 3 = -21", "Subtract: 8 - (-21) = 29", "Divide: -313 / 29 = -313/29"], "final_answer": "-313/29", "answer_type": "rational", "kind": "expression", "math_text": "(-314 - (-1)) / (8 - (-7) * 3)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -314, \"b\": -1, \"c\": 8, \"d\": -7, \"e\": 3}", "seed": "9521214995032609931", "semantic_fingerprint": "sha256:47767e84f969129f5ba1cee15d0b9becf0b2c86bcc87a599d49b22ecc1591b9c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004436", "prompt": "What value of x satisfies x - 8 = -8(x - 3) + 40?", "solution_steps": ["Expand: x - 8 = -8x + 24 + 40", "Combine constants: x - 8 = -8x + 64", "Add 8x to both sides: 9x - 8 = 64", "Add 8 to both sides: 9x = 72", "Divide both sides by 9: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8 = -8(x - 3) + 40", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -8, \"c\": 3, \"e\": 40, \"x\": 8}", "seed": "4540137379644918525", "semantic_fingerprint": "sha256:0c30d9d53634d71d11d0c4ecac73d2917ca594d63c05e09cedecfd7a2c416351", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004437", "prompt": "What is 87 - (-28 + (-68 + (-716)) + (-355 - 65))?", "solution_steps": ["Add: -68 + (-716) = -784", "Add: -28 + (-784) = -812", "Subtract: -355 - 65 = -420", "Add: -812 + (-420) = -1232", "Subtract: 87 - (-1232) = 1319"], "final_answer": "1319", "answer_type": "integer", "kind": "expression", "math_text": "87 - (-28 + (-68 + (-716)) + (-355 - 65))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (+ n (+ n n)) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": -28, \"c\": -68, \"d\": -716, \"e\": -355, \"f\": 65}", "seed": "5657962395300636280", "semantic_fingerprint": "sha256:9c4f779ad416faaa8ed84fe638ec5d5fdbc2aeed377ab1e69ca0356f293c8f59", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004438", "prompt": "Calculate: (-2 - (-4)) * (-6 * (-6))", "solution_steps": ["Subtract: -2 - (-4) = 2", "Multiply: -6 * (-6) = 36", "Multiply: 2 * 36 = 72"], "final_answer": "72", "answer_type": "integer", "kind": "expression", "math_text": "(-2 - (-4)) * (-6 * (-6))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -4, \"c\": -6, \"d\": -6}", "seed": "9132558179970838575", "semantic_fingerprint": "sha256:473d83ae21e1d48632672623904e65a75352cb532fff2fac80712eae0a8a9e58", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004439", "prompt": "Solve the equation 11(x - 8) + 61 = 3(x - 9) for x.", "solution_steps": ["Expand: 11x - 88 + 61 = 3(x - 9)", "Expand: 11x - 88 + 61 = 3x - 27", "Combine constants: 11x - 27 = 3x - 27", "Subtract 3x from both sides: 8x - 27 = -27", "Add 27 to both sides: 8x = 0", "Divide both sides by 8: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 8) + 61 = 3(x - 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"c\": 3, \"d\": 9, \"f\": 61, \"x\": 0}", "seed": "9924727130385885266", "semantic_fingerprint": "sha256:922dbdbde71672df49fbde2b3c3058486acfedb12fad43e4a3f0bff163848716", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004440", "prompt": "Find x: -4(x - 5) - 3 = -2(x - 93) - 199", "solution_steps": ["Expand: -4x + 20 - 3 = -2(x - 93) - 199", "Expand: -4x + 20 - 3 = -2x + 186 - 199", "Combine constants: -4x + 17 = -2x + 186 - 199", "Combine constants: -4x + 17 = -2x - 13", "Add 2x to both sides: -2x + 17 = -13", "Subtract 17 from both sides: -2x = -30", "Divide both sides by -2: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 5) - 3 = -2(x - 93) - 199", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 5, \"c\": 3, \"d\": -2, \"e\": 93, \"g\": -199, \"x\": 15}", "seed": "3473914223942734428", "semantic_fingerprint": "sha256:aac87409444516cf46e12d1d1c019348d23fbfc5a9fa9e2b16180238566a93bd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004441", "prompt": "Solve the equation -7(x - 7) + 633 = 4x + 671 for x.", "solution_steps": ["Expand: -7x + 49 + 633 = 4x + 671", "Combine constants: -7x + 682 = 4x + 671", "Subtract 4x from both sides: -11x + 682 = 671", "Subtract 682 from both sides: -11x = -11", "Divide both sides by -11: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 7) + 633 = 4x + 671", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 7, \"c\": 633, \"d\": 4, \"f\": 671, \"x\": 1}", "seed": "3421420147691637498", "semantic_fingerprint": "sha256:18a08dd6210d8f1b0319e3b4f5540f9d7ae4900ab0b4b1dee224def59e93e0f5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004442", "prompt": "Calculate: 1 + 1 + (-41 - 84) * (-18)", "solution_steps": ["Add: 1 + 1 = 2", "Subtract: -41 - 84 = -125", "Multiply: -125 * (-18) = 2250", "Add: 2 + 2250 = 2252"], "final_answer": "2252", "answer_type": "integer", "kind": "expression", "math_text": "1 + 1 + (-41 - 84) * (-18)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 1, \"c\": -41, \"d\": 84, \"e\": -18}", "seed": "10003102017824454804", "semantic_fingerprint": "sha256:743f6027c7fd866f8d7b54324f2137d26e6c13a7c30c04a042f84aff95c84c09", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004443", "prompt": "What is 46 + (39 + (-345)) + 574 * 733?", "solution_steps": ["Add: 39 + (-345) = -306", "Add: 46 + (-306) = -260", "Multiply: 574 * 733 = 420742", "Add: -260 + 420742 = 420482"], "final_answer": "420482", "answer_type": "integer", "kind": "expression", "math_text": "46 + (39 + (-345)) + 574 * 733", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": 39, \"c\": -345, \"d\": 574, \"e\": 733}", "seed": "98701590619554172", "semantic_fingerprint": "sha256:cedba425fc8f7126a0d98a3e71a190de92cc36f93edb12bf9e64f6532c5cd17d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004444", "prompt": "What value of x satisfies x - 11 = -2(x - 9) + 353?", "solution_steps": ["Expand: x - 11 = -2x + 18 + 353", "Combine constants: x - 11 = -2x + 371", "Add 2x to both sides: 3x - 11 = 371", "Add 11 to both sides: 3x = 382", "Divide both sides by 3: x = 382/3"], "final_answer": "382/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 11 = -2(x - 9) + 353", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -2, \"c\": 9, \"d\": 353}", "seed": "12864282197645957574", "semantic_fingerprint": "sha256:4243cfe95ed7d98c49cb4eee8d0a393b688d9fdb6032b621cc82889902e8577c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004445", "prompt": "Compute: -9 * (-3) + (11 + 10 + (-263)) + (-4)", "solution_steps": ["Multiply: -9 * (-3) = 27", "Add: 11 + 10 = 21", "Add: 21 + (-263) = -242", "Add: 27 + (-242) = -215", "Add: -215 + (-4) = -219"], "final_answer": "-219", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-3) + (11 + 10 + (-263)) + (-4)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* n n) (+ (+ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -3, \"c\": 11, \"d\": 10, \"e\": -263, \"f\": -4}", "seed": "8168876457839574261", "semantic_fingerprint": "sha256:ae486b8a525e39359afd9f2820a7495ec74171ab973e07747c051a317cf564c9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004446", "prompt": "Compute: -683 - 28 + (-4) * (7 / 39) - (-70)", "solution_steps": ["Subtract: -683 - 28 = -711", "Divide: 7 / 39 = 7/39", "Multiply: -4 * (7/39) = -28/39", "Add: -711 + (-28/39) = -27757/39", "Subtract: -27757/39 - (-70) = -25027/39"], "final_answer": "-25027/39", "answer_type": "rational", "kind": "expression", "math_text": "-683 - 28 + (-4) * (7 / 39) - (-70)", "variable": null, "family": "expression_5op", "shape": "(- (+ (- n n) (* n (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -683, \"b\": 28, \"c\": -4, \"d\": 7, \"e\": 39, \"f\": -70}", "seed": "16055071278867593553", "semantic_fingerprint": "sha256:e5c761bc5f98bb0aff019a01b39671b9bc733886f99e7347a070b8161709214d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004447", "prompt": "Solve for x: x - 4 = -11(x - 2) + 190", "solution_steps": ["Expand: x - 4 = -11x + 22 + 190", "Combine constants: x - 4 = -11x + 212", "Add 11x to both sides: 12x - 4 = 212", "Add 4 to both sides: 12x = 216", "Divide both sides by 12: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4 = -11(x - 2) + 190", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -11, \"c\": 2, \"e\": 190, \"x\": 18}", "seed": "7743266601592681815", "semantic_fingerprint": "sha256:2d7a425de08335c276986c3470f80968e3cb591df7bf3ee80fa520a7096c423f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004448", "prompt": "Evaluate: -225 - 75 + (-251 - 65) - (-93)", "solution_steps": ["Subtract: -225 - 75 = -300", "Subtract: -251 - 65 = -316", "Add: -300 + (-316) = -616", "Subtract: -616 - (-93) = -523"], "final_answer": "-523", "answer_type": "integer", "kind": "expression", "math_text": "-225 - 75 + (-251 - 65) - (-93)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -225, \"b\": 75, \"c\": -251, \"d\": 65, \"e\": -93}", "seed": "16477736269873095922", "semantic_fingerprint": "sha256:3bc5da86cba138fd57485779e472352766e5819eab36dc28c794a436427b3eb6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004449", "prompt": "Compute: (808 - (-6)) * (93 / (-12) / 96)", "solution_steps": ["Subtract: 808 - (-6) = 814", "Divide: 93 / (-12) = -31/4", "Divide: (-31/4) / 96 = -31/384", "Multiply: 814 * (-31/384) = -12617/192"], "final_answer": "-12617/192", "answer_type": "rational", "kind": "expression", "math_text": "(808 - (-6)) * (93 / (-12) / 96)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 808, \"b\": -6, \"c\": 93, \"d\": -12, \"e\": 96}", "seed": "11946946252063286605", "semantic_fingerprint": "sha256:c00e1a147208fe97187658e99c336ff50892fc9f4d6841c3f930df0b10aaa712", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004450", "prompt": "Calculate: -2 * 224 / (-923 + 2)", "solution_steps": ["Multiply: -2 * 224 = -448", "Add: -923 + 2 = -921", "Divide: -448 / (-921) = 448/921"], "final_answer": "448/921", "answer_type": "rational", "kind": "expression", "math_text": "-2 * 224 / (-923 + 2)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 224, \"c\": -923, \"d\": 2}", "seed": "14289468773287456295", "semantic_fingerprint": "sha256:71755ec58cdf04c9c40ba47beb28a5181185a83124f997870f2a5ad5a0622976", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004451", "prompt": "What is (-54 - 562 + 491) * 5?", "solution_steps": ["Subtract: -54 - 562 = -616", "Add: -616 + 491 = -125", "Multiply: -125 * 5 = -625"], "final_answer": "-625", "answer_type": "integer", "kind": "expression", "math_text": "(-54 - 562 + 491) * 5", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": 562, \"c\": 491, \"d\": 5}", "seed": "5191790415177667095", "semantic_fingerprint": "sha256:4c77590c7d5839482d11d5d2a0a2c9f7c6aef871024c09c15b525105053d23e0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004452", "prompt": "What value of x satisfies 8(x + 3) - 676 = x - 764?", "solution_steps": ["Expand: 8x + 24 - 676 = x - 764", "Combine constants: 8x - 652 = x - 764", "Subtract x from both sides: 7x - 652 = -764", "Add 652 to both sides: 7x = -112", "Divide both sides by 7: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 3) - 676 = x - 764", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 676, \"e\": -764, \"x\": -16}", "seed": "15257054610765865620", "semantic_fingerprint": "sha256:ea7b1d84d804c3335ed247c0ad2a264b82b2e26769a29cbc1a53b66100db359e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004453", "prompt": "Evaluate: 672 / (-46 - 0 * (849 - (93 - (-844))))", "solution_steps": ["Subtract: 93 - (-844) = 937", "Subtract: 849 - 937 = -88", "Multiply: 0 * (-88) = 0", "Subtract: -46 - 0 = -46", "Divide: 672 / (-46) = -336/23"], "final_answer": "-336/23", "answer_type": "rational", "kind": "expression", "math_text": "672 / (-46 - 0 * (849 - (93 - (-844))))", "variable": null, "family": "expression_5op", "shape": "(/ n (- n (* n (- n (- n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 672, \"b\": -46, \"c\": 0, \"d\": 849, \"e\": 93, \"f\": -844}", "seed": "1476565163613949584", "semantic_fingerprint": "sha256:60de9f7a79c0f9a0ff6bccfc21a019908ac56d6403003196baf8cef8bff81bbb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004454", "prompt": "Find x: -3(x - 2) + 54 = 8(x + 10) - 4", "solution_steps": ["Expand: -3x + 6 + 54 = 8(x + 10) - 4", "Expand: -3x + 6 + 54 = 8x + 80 - 4", "Combine constants: -3x + 60 = 8x + 80 - 4", "Combine constants: -3x + 60 = 8x + 76", "Subtract 8x from both sides: -11x + 60 = 76", "Subtract 60 from both sides: -11x = 16", "Divide both sides by -11: x = -16/11"], "final_answer": "-16/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 2) + 54 = 8(x + 10) - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 2, \"c\": 54, \"d\": 8, \"e\": 10, \"f\": 4}", "seed": "9732495483234463177", "semantic_fingerprint": "sha256:0265e1dfd0e2be7d721fcfaf47b3e17d8512acebc2bad49c44c69a0908dd773a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004455", "prompt": "Compute: -3 * (37 - 8 * 6 / 370)", "solution_steps": ["Multiply: 8 * 6 = 48", "Divide: 48 / 370 = 24/185", "Subtract: 37 - 24/185 = 6821/185", "Multiply: -3 * (6821/185) = -20463/185"], "final_answer": "-20463/185", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (37 - 8 * 6 / 370)", "variable": null, "family": "expression_4op", "shape": "(* n (- n (/ (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 37, \"c\": 8, \"d\": 6, \"e\": 370}", "seed": "5104477481254783510", "semantic_fingerprint": "sha256:c5fed2df20fd631c48d4140e3181e11ad0cdd96f9b7872fe8cb14ad6a7d48a08", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004456", "prompt": "What value of x satisfies 9(x + 12) + 8 = 4(x + 49) - 60?", "solution_steps": ["Expand: 9x + 108 + 8 = 4(x + 49) - 60", "Expand: 9x + 108 + 8 = 4x + 196 - 60", "Combine constants: 9x + 116 = 4x + 196 - 60", "Combine constants: 9x + 116 = 4x + 136", "Subtract 4x from both sides: 5x + 116 = 136", "Subtract 116 from both sides: 5x = 20", "Divide both sides by 5: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 12) + 8 = 4(x + 49) - 60", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 12, \"c\": 8, \"d\": 4, \"e\": 49, \"g\": -60, \"x\": 4}", "seed": "8070570225014038622", "semantic_fingerprint": "sha256:d5de3f31b2b62a2b736fe0105fb71626499d5e07425989c15001b7115a4fcaf6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004457", "prompt": "Find x: -5(x - 2) + 84 = 6x + 94", "solution_steps": ["Expand: -5x + 10 + 84 = 6x + 94", "Combine constants: -5x + 94 = 6x + 94", "Subtract 6x from both sides: -11x + 94 = 94", "Subtract 94 from both sides: -11x = 0", "Divide both sides by -11: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 2) + 84 = 6x + 94", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"c\": 84, \"d\": 6, \"f\": 94, \"x\": 0}", "seed": "7021988517886906652", "semantic_fingerprint": "sha256:c1a6db31268a8775ff793e00ae6f06fb4e82523003929bde8db62b67e814b0f6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004458", "prompt": "What is -8 - 61 + (-2 * (-190) + (-56)) + 451?", "solution_steps": ["Subtract: -8 - 61 = -69", "Multiply: -2 * (-190) = 380", "Add: 380 + (-56) = 324", "Add: -69 + 324 = 255", "Add: 255 + 451 = 706"], "final_answer": "706", "answer_type": "integer", "kind": "expression", "math_text": "-8 - 61 + (-2 * (-190) + (-56)) + 451", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n n) (+ (* n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 61, \"c\": -2, \"d\": -190, \"e\": -56, \"f\": 451}", "seed": "14434121075429324213", "semantic_fingerprint": "sha256:746825ed8db741e0a4821cb97f825124d480142dcb89bf7f4e34ac57c08d92ad", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004459", "prompt": "Compute: (-45 - (-437) / 3) / (-206)", "solution_steps": ["Divide: -437 / 3 = -437/3", "Subtract: -45 - (-437/3) = 302/3", "Divide: (302/3) / (-206) = -151/309"], "final_answer": "-151/309", "answer_type": "rational", "kind": "expression", "math_text": "(-45 - (-437) / 3) / (-206)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": -437, \"c\": 3, \"d\": -206}", "seed": "1437048028383794003", "semantic_fingerprint": "sha256:43db2af2b714752977eee7dcb7885a49a2126b018e585d6108825aa9711354fa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004460", "prompt": "Calculate: 164 + (-64) - (57 + 7)", "solution_steps": ["Add: 164 + (-64) = 100", "Add: 57 + 7 = 64", "Subtract: 100 - 64 = 36"], "final_answer": "36", "answer_type": "integer", "kind": "expression", "math_text": "164 + (-64) - (57 + 7)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 164, \"b\": -64, \"c\": 57, \"d\": 7}", "seed": "4382175888239650024", "semantic_fingerprint": "sha256:58cbe8e95b017c21b90e3a86e945fb1dd94d82716b5ed39f76723a6d4c7a1539", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004461", "prompt": "Calculate: 42 / (6 - (-6) - 8)", "solution_steps": ["Subtract: 6 - (-6) = 12", "Subtract: 12 - 8 = 4", "Divide: 42 / 4 = 21/2"], "final_answer": "21/2", "answer_type": "rational", "kind": "expression", "math_text": "42 / (6 - (-6) - 8)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 6, \"c\": -6, \"d\": 8}", "seed": "8849166625810076871", "semantic_fingerprint": "sha256:b945bfacf9d56b541de364f07d2b97b3241ee5607efb5a9595280c4f8678e953", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004462", "prompt": "Evaluate: 0 / (-649) * (7 / (-88 * (-44)))", "solution_steps": ["Divide: 0 / (-649) = 0", "Multiply: -88 * (-44) = 3872", "Divide: 7 / 3872 = 7/3872", "Multiply: 0 * (7/3872) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-649) * (7 / (-88 * (-44)))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -649, \"c\": 7, \"d\": -88, \"e\": -44}", "seed": "16569763719615180322", "semantic_fingerprint": "sha256:944abf497a21c82eb588186d53098e73db1ef264a923662a676a3cb810e09799", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004463", "prompt": "Solve the equation -10(x - 5) - 733 = 3(x - 42) - 440 for x.", "solution_steps": ["Expand: -10x + 50 - 733 = 3(x - 42) - 440", "Expand: -10x + 50 - 733 = 3x - 126 - 440", "Combine constants: -10x - 683 = 3x - 126 - 440", "Combine constants: -10x - 683 = 3x - 566", "Subtract 3x from both sides: -13x - 683 = -566", "Add 683 to both sides: -13x = 117", "Divide both sides by -13: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 5) - 733 = 3(x - 42) - 440", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 5, \"c\": 733, \"d\": 3, \"e\": 42, \"g\": -440, \"x\": -9}", "seed": "873651974921203035", "semantic_fingerprint": "sha256:e24c11358ac64181b5564c19e507051daaaa7af8865665a4df22b0f1f9910f4e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004464", "prompt": "What value of x satisfies -6(x - 4) - 86 = 9(x - 7)?", "solution_steps": ["Expand: -6x + 24 - 86 = 9(x - 7)", "Expand: -6x + 24 - 86 = 9x - 63", "Combine constants: -6x - 62 = 9x - 63", "Subtract 9x from both sides: -15x - 62 = -63", "Add 62 to both sides: -15x = -1", "Divide both sides by -15: x = 1/15"], "final_answer": "1/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 4) - 86 = 9(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4, \"c\": 86, \"d\": 9, \"e\": 7}", "seed": "1880450885264093818", "semantic_fingerprint": "sha256:61fac773618246077a8b74679e2384f374cfbd9542ab3f8d0419ae13e9255707", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004465", "prompt": "Solve for x: 12(x + 5) - 15 = x - 884", "solution_steps": ["Expand: 12x + 60 - 15 = x - 884", "Combine constants: 12x + 45 = x - 884", "Subtract x from both sides: 11x + 45 = -884", "Subtract 45 from both sides: 11x = -929", "Divide both sides by 11: x = -929/11"], "final_answer": "-929/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 5) - 15 = x - 884", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 15, \"d\": 884}", "seed": "7570496934936991434", "semantic_fingerprint": "sha256:3f915d2c6a54efd32aa06bad1e5ca4d5015f8df23fa25e9dae3cd5671013b17d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004466", "prompt": "Solve for x: x - 6 = -12(x - 74) + 75", "solution_steps": ["Expand: x - 6 = -12x + 888 + 75", "Combine constants: x - 6 = -12x + 963", "Add 12x to both sides: 13x - 6 = 963", "Add 6 to both sides: 13x = 969", "Divide both sides by 13: x = 969/13"], "final_answer": "969/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 6 = -12(x - 74) + 75", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -12, \"c\": 74, \"d\": 75}", "seed": "292261384123414003", "semantic_fingerprint": "sha256:0eedec53a03806dd25e3ea47177738fb3b5112aef56b2d15aca410b9c9b1c594", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004467", "prompt": "Evaluate: 31 + 8 - (-295 + 574)", "solution_steps": ["Add: 31 + 8 = 39", "Add: -295 + 574 = 279", "Subtract: 39 - 279 = -240"], "final_answer": "-240", "answer_type": "integer", "kind": "expression", "math_text": "31 + 8 - (-295 + 574)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 8, \"c\": -295, \"d\": 574}", "seed": "15955039462535068272", "semantic_fingerprint": "sha256:eb8430c9168c60e1e96286e1fbfc137b739f9180e1ce678f43d4c3feadc2af66", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004468", "prompt": "What value of x satisfies 4(x - 96) + 46 = 11x + 8?", "solution_steps": ["Expand: 4x - 384 + 46 = 11x + 8", "Combine constants: 4x - 338 = 11x + 8", "Subtract 11x from both sides: -7x - 338 = 8", "Add 338 to both sides: -7x = 346", "Divide both sides by -7: x = -346/7"], "final_answer": "-346/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 96) + 46 = 11x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 96, \"c\": 46, \"d\": 11, \"e\": 8}", "seed": "4049265787444488083", "semantic_fingerprint": "sha256:cd191213bc87bcac7896cfc9415086bcaed9b657151c9e1e114b98ac7b6dbf8e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004469", "prompt": "Calculate: 6 * (-348 * (-9 - (-90)))", "solution_steps": ["Subtract: -9 - (-90) = 81", "Multiply: -348 * 81 = -28188", "Multiply: 6 * (-28188) = -169128"], "final_answer": "-169128", "answer_type": "integer", "kind": "expression", "math_text": "6 * (-348 * (-9 - (-90)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -348, \"c\": -9, \"d\": -90}", "seed": "8726577964804627148", "semantic_fingerprint": "sha256:4216409f5066844865d198491eea7a97fab85c8a8b0f143f381ad794a15dfe65", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004470", "prompt": "What is -16 - (860 + (-170) + (-39 + 76))?", "solution_steps": ["Add: 860 + (-170) = 690", "Add: -39 + 76 = 37", "Add: 690 + 37 = 727", "Subtract: -16 - 727 = -743"], "final_answer": "-743", "answer_type": "integer", "kind": "expression", "math_text": "-16 - (860 + (-170) + (-39 + 76))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": 860, \"c\": -170, \"d\": -39, \"e\": 76}", "seed": "12941751305966410552", "semantic_fingerprint": "sha256:11c8f0e7664df160d33ae7720afafcaa440497bbb3cd54703cf48fb4a411c4c8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004471", "prompt": "What is 7 * (512 / (-4) / (-976))?", "solution_steps": ["Divide: 512 / (-4) = -128", "Divide: -128 / (-976) = 8/61", "Multiply: 7 * (8/61) = 56/61"], "final_answer": "56/61", "answer_type": "rational", "kind": "expression", "math_text": "7 * (512 / (-4) / (-976))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 512, \"c\": -4, \"d\": -976}", "seed": "7390407218065859190", "semantic_fingerprint": "sha256:d5324453226258a59dfbfe8bfe3e45dfbeb64056175e1ff119d9d65e7b63f671", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004472", "prompt": "Compute: 55 - (-9 - (59 * 34 + (-91)))", "solution_steps": ["Multiply: 59 * 34 = 2006", "Add: 2006 + (-91) = 1915", "Subtract: -9 - 1915 = -1924", "Subtract: 55 - (-1924) = 1979"], "final_answer": "1979", "answer_type": "integer", "kind": "expression", "math_text": "55 - (-9 - (59 * 34 + (-91)))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (+ (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -9, \"c\": 59, \"d\": 34, \"e\": -91}", "seed": "3951337698371856003", "semantic_fingerprint": "sha256:5182911958d5e95a9801ada2adb7d977d34bd7458eeac0ce698e18a4cd3e56e1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004473", "prompt": "Evaluate: (28 + (-36) - 37) * (6 + 27)", "solution_steps": ["Add: 28 + (-36) = -8", "Subtract: -8 - 37 = -45", "Add: 6 + 27 = 33", "Multiply: -45 * 33 = -1485"], "final_answer": "-1485", "answer_type": "integer", "kind": "expression", "math_text": "(28 + (-36) - 37) * (6 + 27)", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -36, \"c\": 37, \"d\": 6, \"e\": 27}", "seed": "544652764874897606", "semantic_fingerprint": "sha256:97706e0e6a37636312a7dcaa6d11918cbc8eddd8862c526737749cc4c27fe483", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004474", "prompt": "Find x: 2(x - 3) - 373 = 3(x - 48) - 238", "solution_steps": ["Expand: 2x - 6 - 373 = 3(x - 48) - 238", "Expand: 2x - 6 - 373 = 3x - 144 - 238", "Combine constants: 2x - 379 = 3x - 144 - 238", "Combine constants: 2x - 379 = 3x - 382", "Subtract 3x from both sides: -x - 379 = -382", "Add 379 to both sides: -x = -3", "Divide both sides by -1: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 3) - 373 = 3(x - 48) - 238", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 373, \"d\": 3, \"e\": 48, \"g\": -238, \"x\": 3}", "seed": "11365612229706459952", "semantic_fingerprint": "sha256:7ce9c07a79de6acd8b0258309856a19eb3ad6d10e0448b96ce7e8762b039d1d6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004475", "prompt": "Solve the equation x - 13 = 8(x - 95) + 803 for x.", "solution_steps": ["Expand: x - 13 = 8x - 760 + 803", "Combine constants: x - 13 = 8x + 43", "Subtract 8x from both sides: -7x - 13 = 43", "Add 13 to both sides: -7x = 56", "Divide both sides by -7: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 13 = 8(x - 95) + 803", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": 8, \"c\": 95, \"e\": 803, \"x\": -8}", "seed": "13293766079720366707", "semantic_fingerprint": "sha256:0ee961440d3aa8dc55cb622e1c720c18b48e4a27667b1820c09815c4a8e0f45a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004476", "prompt": "Solve the equation x - 241 = 11(x - 95) + 674 for x.", "solution_steps": ["Expand: x - 241 = 11x - 1045 + 674", "Combine constants: x - 241 = 11x - 371", "Subtract 11x from both sides: -10x - 241 = -371", "Add 241 to both sides: -10x = -130", "Divide both sides by -10: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 241 = 11(x - 95) + 674", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 241, \"b\": 11, \"c\": 95, \"e\": 674, \"x\": 13}", "seed": "5785263990308684251", "semantic_fingerprint": "sha256:0d007016b4615f8dc78cdd48c0b03087728a50650e7ed61771226e1b5c5efd83", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004477", "prompt": "Compute: 103 + (1 + (-4)) - (-91)", "solution_steps": ["Add: 1 + (-4) = -3", "Add: 103 + (-3) = 100", "Subtract: 100 - (-91) = 191"], "final_answer": "191", "answer_type": "integer", "kind": "expression", "math_text": "103 + (1 + (-4)) - (-91)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 103, \"b\": 1, \"c\": -4, \"d\": -91}", "seed": "14359850133962579393", "semantic_fingerprint": "sha256:7617432a1d1716ff3b59cb1c9347822376a4fbed7d1cfcda6b8aa7c0aaeedca4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004478", "prompt": "Calculate: -5 * (461 + 75) + (8 + (-2) * 9)", "solution_steps": ["Add: 461 + 75 = 536", "Multiply: -5 * 536 = -2680", "Multiply: -2 * 9 = -18", "Add: 8 + (-18) = -10", "Add: -2680 + (-10) = -2690"], "final_answer": "-2690", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (461 + 75) + (8 + (-2) * 9)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ n n)) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 461, \"c\": 75, \"d\": 8, \"e\": -2, \"f\": 9}", "seed": "16986778492607861476", "semantic_fingerprint": "sha256:d5ae342840e2831335f64cee5bea93413a341e352c40132caec24ad2257e8598", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004479", "prompt": "Calculate: -927 * 48 / (8 + (-74))", "solution_steps": ["Multiply: -927 * 48 = -44496", "Add: 8 + (-74) = -66", "Divide: -44496 / (-66) = 7416/11"], "final_answer": "7416/11", "answer_type": "rational", "kind": "expression", "math_text": "-927 * 48 / (8 + (-74))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -927, \"b\": 48, \"c\": 8, \"d\": -74}", "seed": "12889152482439284168", "semantic_fingerprint": "sha256:f8be0b6d111283df28245d7ffa4fe6adc768f1b97aa4acb2e269ce0a365c661b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004480", "prompt": "Evaluate: 197 / (-3 * (-2)) - 0", "solution_steps": ["Multiply: -3 * (-2) = 6", "Divide: 197 / 6 = 197/6", "Subtract: 197/6 - 0 = 197/6"], "final_answer": "197/6", "answer_type": "rational", "kind": "expression", "math_text": "197 / (-3 * (-2)) - 0", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 197, \"b\": -3, \"c\": -2, \"d\": 0}", "seed": "5010771473417346691", "semantic_fingerprint": "sha256:55a1fc265307d5d0c98686d1a41b1a379c2bea06e82b2d7c3d50666902cef46a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004481", "prompt": "What is (509 - (-76)) * (-9 * (-21))?", "solution_steps": ["Subtract: 509 - (-76) = 585", "Multiply: -9 * (-21) = 189", "Multiply: 585 * 189 = 110565"], "final_answer": "110565", "answer_type": "integer", "kind": "expression", "math_text": "(509 - (-76)) * (-9 * (-21))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 509, \"b\": -76, \"c\": -9, \"d\": -21}", "seed": "9588328751894937949", "semantic_fingerprint": "sha256:15ffb0c294e58e148ab70ca3748861cae6d347ba641d77add9ad2c15c90a4290", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004482", "prompt": "What is -23 / (-4 * (-932) / 775)?", "solution_steps": ["Multiply: -4 * (-932) = 3728", "Divide: 3728 / 775 = 3728/775", "Divide: -23 / (3728/775) = -17825/3728"], "final_answer": "-17825/3728", "answer_type": "rational", "kind": "expression", "math_text": "-23 / (-4 * (-932) / 775)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": -4, \"c\": -932, \"d\": 775}", "seed": "11467908632082002148", "semantic_fingerprint": "sha256:d1b430e6cbd1945d33352b77e4d23bcfd833c3294d58e6ce7add4385bb29d53f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004483", "prompt": "What is (9 - (-675)) * (-5 * 39)?", "solution_steps": ["Subtract: 9 - (-675) = 684", "Multiply: -5 * 39 = -195", "Multiply: 684 * (-195) = -133380"], "final_answer": "-133380", "answer_type": "integer", "kind": "expression", "math_text": "(9 - (-675)) * (-5 * 39)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -675, \"c\": -5, \"d\": 39}", "seed": "9766757278372220048", "semantic_fingerprint": "sha256:070dd1ba074bee3c4c15884d3d1e5b5e0d320c92fcad17f12b394cd587ccc594", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004484", "prompt": "What is -92 - (-9 + (378 - 496))?", "solution_steps": ["Subtract: 378 - 496 = -118", "Add: -9 + (-118) = -127", "Subtract: -92 - (-127) = 35"], "final_answer": "35", "answer_type": "integer", "kind": "expression", "math_text": "-92 - (-9 + (378 - 496))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": -9, \"c\": 378, \"d\": 496}", "seed": "13569570790082620957", "semantic_fingerprint": "sha256:c6477c9e39541c206cb29b493701df78de0a9e97f2f735a12fcbfdade452ce03", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004485", "prompt": "Compute: (103 + (-765 + 20 / (-7))) / 6 * 269", "solution_steps": ["Divide: 20 / (-7) = -20/7", "Add: -765 + (-20/7) = -5375/7", "Add: 103 + (-5375/7) = -4654/7", "Divide: (-4654/7) / 6 = -2327/21", "Multiply: (-2327/21) * 269 = -625963/21"], "final_answer": "-625963/21", "answer_type": "rational", "kind": "expression", "math_text": "(103 + (-765 + 20 / (-7))) / 6 * 269", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ n (+ n (/ n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 103, \"b\": -765, \"c\": 20, \"d\": -7, \"e\": 6, \"f\": 269}", "seed": "11939693701802570901", "semantic_fingerprint": "sha256:c4b6ba0680f7f1043194c4faeb81aec362eb8b76f155d6142a66ae22988e3260", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004486", "prompt": "What is -174 + (-3 + (24 - 353 * (-50)) / 16)?", "solution_steps": ["Multiply: 353 * (-50) = -17650", "Subtract: 24 - (-17650) = 17674", "Divide: 17674 / 16 = 8837/8", "Add: -3 + 8837/8 = 8813/8", "Add: -174 + 8813/8 = 7421/8"], "final_answer": "7421/8", "answer_type": "rational", "kind": "expression", "math_text": "-174 + (-3 + (24 - 353 * (-50)) / 16)", "variable": null, "family": "expression_5op", "shape": "(+ n (+ n (/ (- n (* n n)) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -174, \"b\": -3, \"c\": 24, \"d\": 353, \"e\": -50, \"f\": 16}", "seed": "12408325210185936872", "semantic_fingerprint": "sha256:249f5122f57c60114c14a88ddf72d692d2b371d88001308a60fa8e97ed288984", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004487", "prompt": "Calculate: 8 + (-359) / (-87) / (-36)", "solution_steps": ["Divide: -359 / (-87) = 359/87", "Divide: (359/87) / (-36) = -359/3132", "Add: 8 + (-359/3132) = 24697/3132"], "final_answer": "24697/3132", "answer_type": "rational", "kind": "expression", "math_text": "8 + (-359) / (-87) / (-36)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -359, \"c\": -87, \"d\": -36}", "seed": "521070416014529328", "semantic_fingerprint": "sha256:2f8ffdfe6ab94126157aab9d79de38863b5dac5a52873a44ec9993cc7349aabd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004488", "prompt": "Evaluate: (-27 - (99 + 76)) * (-54) * (-79) + (-546)", "solution_steps": ["Add: 99 + 76 = 175", "Subtract: -27 - 175 = -202", "Multiply: -202 * (-54) = 10908", "Multiply: 10908 * (-79) = -861732", "Add: -861732 + (-546) = -862278"], "final_answer": "-862278", "answer_type": "integer", "kind": "expression", "math_text": "(-27 - (99 + 76)) * (-54) * (-79) + (-546)", "variable": null, "family": "expression_5op", "shape": "(+ (* (* (- n (+ n n)) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": 99, \"c\": 76, \"d\": -54, \"e\": -79, \"f\": -546}", "seed": "6236346568151826845", "semantic_fingerprint": "sha256:898d822b4a7042df92cee1ab76ce46fccea7b0f141d18c3c86187864289ae886", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004489", "prompt": "Calculate: -84 + (-101) * (-926) / (-39) - 14 * (-57)", "solution_steps": ["Multiply: -101 * (-926) = 93526", "Divide: 93526 / (-39) = -93526/39", "Add: -84 + (-93526/39) = -96802/39", "Multiply: 14 * (-57) = -798", "Subtract: -96802/39 - (-798) = -65680/39"], "final_answer": "-65680/39", "answer_type": "rational", "kind": "expression", "math_text": "-84 + (-101) * (-926) / (-39) - 14 * (-57)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (/ (* n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": -101, \"c\": -926, \"d\": -39, \"e\": 14, \"f\": -57}", "seed": "15530697567846586098", "semantic_fingerprint": "sha256:bc577e0272feed813aeb52099f6ff182c02594c8361ff4038c0b3ef1a8cab0cf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004490", "prompt": "Evaluate: (22 + 50) / (-265 / (-314))", "solution_steps": ["Add: 22 + 50 = 72", "Divide: -265 / (-314) = 265/314", "Divide: 72 / (265/314) = 22608/265"], "final_answer": "22608/265", "answer_type": "rational", "kind": "expression", "math_text": "(22 + 50) / (-265 / (-314))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": 50, \"c\": -265, \"d\": -314}", "seed": "4390886196115562445", "semantic_fingerprint": "sha256:c4b71adb2be1781b8d1230c8aeff21fefb15e26caf464f9f6cfdd9047370c57b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004491", "prompt": "Solve the equation -11(x - 9) = 3x - 111 for x.", "solution_steps": ["Expand: -11x + 99 = 3x - 111", "Subtract 3x from both sides: -14x + 99 = -111", "Subtract 99 from both sides: -14x = -210", "Divide both sides by -14: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 9) = 3x - 111", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 9, \"c\": 3, \"e\": -111, \"x\": 15}", "seed": "12822611446693709572", "semantic_fingerprint": "sha256:17303f0433404a82d26a0fe34f2c6d3e500b120305e92ad02d286f0ed1562e32", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004492", "prompt": "Calculate: (0 + 791 + (-62) / 41) / (-56)", "solution_steps": ["Add: 0 + 791 = 791", "Divide: -62 / 41 = -62/41", "Add: 791 + (-62/41) = 32369/41", "Divide: (32369/41) / (-56) = -32369/2296"], "final_answer": "-32369/2296", "answer_type": "rational", "kind": "expression", "math_text": "(0 + 791 + (-62) / 41) / (-56)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 791, \"c\": -62, \"d\": 41, \"e\": -56}", "seed": "2564193882237642557", "semantic_fingerprint": "sha256:283cfb78dbed34b8534b548b0164cc93ea68ada49b11b72c0d57706b526533bc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004493", "prompt": "Solve for x: -9(x - 16) + 5 = 8(x + 25) - 204", "solution_steps": ["Expand: -9x + 144 + 5 = 8(x + 25) - 204", "Expand: -9x + 144 + 5 = 8x + 200 - 204", "Combine constants: -9x + 149 = 8x + 200 - 204", "Combine constants: -9x + 149 = 8x - 4", "Subtract 8x from both sides: -17x + 149 = -4", "Subtract 149 from both sides: -17x = -153", "Divide both sides by -17: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 16) + 5 = 8(x + 25) - 204", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 16, \"c\": 5, \"d\": 8, \"e\": 25, \"g\": -204, \"x\": 9}", "seed": "1415461289594091924", "semantic_fingerprint": "sha256:78540aa063f57e8eda9c5c1d4bf3523a1f3c7be45ba271157750381a08a34439", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004494", "prompt": "Find x: x - 41 = 7(x - 845) + 7", "solution_steps": ["Expand: x - 41 = 7x - 5915 + 7", "Combine constants: x - 41 = 7x - 5908", "Subtract 7x from both sides: -6x - 41 = -5908", "Add 41 to both sides: -6x = -5867", "Divide both sides by -6: x = 5867/6"], "final_answer": "5867/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 41 = 7(x - 845) + 7", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 7, \"c\": 845, \"d\": 7}", "seed": "4019476970941137110", "semantic_fingerprint": "sha256:7a39a93b965380290f8f54795ef0f8ec6bb09474c48e6c3c9ae67dae1148a636", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004495", "prompt": "Compute: -10 / (67 / (5 * 80))", "solution_steps": ["Multiply: 5 * 80 = 400", "Divide: 67 / 400 = 67/400", "Divide: -10 / (67/400) = -4000/67"], "final_answer": "-4000/67", "answer_type": "rational", "kind": "expression", "math_text": "-10 / (67 / (5 * 80))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 67, \"c\": 5, \"d\": 80}", "seed": "4816511986326156670", "semantic_fingerprint": "sha256:e958a055f711e6a064d9fc8ff4b59c4e395754b2d16f1b3e71b68627f7fa4257", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004496", "prompt": "Solve for x: 8(x - 49) + 62 = -12x + 4", "solution_steps": ["Expand: 8x - 392 + 62 = -12x + 4", "Combine constants: 8x - 330 = -12x + 4", "Add 12x to both sides: 20x - 330 = 4", "Add 330 to both sides: 20x = 334", "Divide both sides by 20: x = 167/10"], "final_answer": "167/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 49) + 62 = -12x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 49, \"c\": 62, \"d\": -12, \"e\": 4}", "seed": "3014585943197070557", "semantic_fingerprint": "sha256:318ca1781a11a61f1d51b38fc60e8c9213d5127ed47b901f70cd2c9642500e23", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004497", "prompt": "What is 3 + 129 - (0 + 4)?", "solution_steps": ["Add: 3 + 129 = 132", "Add: 0 + 4 = 4", "Subtract: 132 - 4 = 128"], "final_answer": "128", "answer_type": "integer", "kind": "expression", "math_text": "3 + 129 - (0 + 4)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 129, \"c\": 0, \"d\": 4}", "seed": "2142753938993929142", "semantic_fingerprint": "sha256:50399fd4f70a43036406f719293dc633815d290f658b8e9c045a581779214ed1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004498", "prompt": "What is (-80 + 476) / (729 + (-28)) - 488?", "solution_steps": ["Add: -80 + 476 = 396", "Add: 729 + (-28) = 701", "Divide: 396 / 701 = 396/701", "Subtract: 396/701 - 488 = -341692/701"], "final_answer": "-341692/701", "answer_type": "rational", "kind": "expression", "math_text": "(-80 + 476) / (729 + (-28)) - 488", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 476, \"c\": 729, \"d\": -28, \"e\": 488}", "seed": "9808566458886859185", "semantic_fingerprint": "sha256:3bf3718ba5ea0e1d52506098ad3e2ca65c0d7da23f4ed2ad193492d76d07adbd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004499", "prompt": "Evaluate: (-77 + (56 - (-84))) * 34 / (10 - (-186))", "solution_steps": ["Subtract: 56 - (-84) = 140", "Add: -77 + 140 = 63", "Multiply: 63 * 34 = 2142", "Subtract: 10 - (-186) = 196", "Divide: 2142 / 196 = 153/14"], "final_answer": "153/14", "answer_type": "rational", "kind": "expression", "math_text": "(-77 + (56 - (-84))) * 34 / (10 - (-186))", "variable": null, "family": "expression_5op", "shape": "(/ (* (+ n (- n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": 56, \"c\": -84, \"d\": 34, \"e\": 10, \"f\": -186}", "seed": "3788579480980270739", "semantic_fingerprint": "sha256:5ca11d3b1c5c82399677efe2e444b792b092464db10a306c8a4f7c41d4be17ec", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004500", "prompt": "What value of x satisfies 2(x - 69) = 7x - 63?", "solution_steps": ["Expand: 2x - 138 = 7x - 63", "Subtract 7x from both sides: -5x - 138 = -63", "Add 138 to both sides: -5x = 75", "Divide both sides by -5: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 69) = 7x - 63", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 69, \"c\": 7, \"e\": -63, \"x\": -15}", "seed": "146305727355953295", "semantic_fingerprint": "sha256:623957007efea7d1d37ac77e3220d7f8c21d2edbbcb42d50f7d13827e048f491", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004501", "prompt": "Evaluate: 66 + (-45 + 16 * (64 + (-589)))", "solution_steps": ["Add: 64 + (-589) = -525", "Multiply: 16 * (-525) = -8400", "Add: -45 + (-8400) = -8445", "Add: 66 + (-8445) = -8379"], "final_answer": "-8379", "answer_type": "integer", "kind": "expression", "math_text": "66 + (-45 + 16 * (64 + (-589)))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (* n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -45, \"c\": 16, \"d\": 64, \"e\": -589}", "seed": "12240675642527454782", "semantic_fingerprint": "sha256:1b5f16627b318f3d5a69c70842e8ce1b1ca3f6a6b34ebabfbe184097be638b58", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004502", "prompt": "Compute: 4 * (-843) / 81 / (2 / (-531))", "solution_steps": ["Multiply: 4 * (-843) = -3372", "Divide: -3372 / 81 = -1124/27", "Divide: 2 / (-531) = -2/531", "Divide: (-1124/27) / (-2/531) = 33158/3"], "final_answer": "33158/3", "answer_type": "rational", "kind": "expression", "math_text": "4 * (-843) / 81 / (2 / (-531))", "variable": null, "family": "expression_4op", "shape": "(/ (/ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -843, \"c\": 81, \"d\": 2, \"e\": -531}", "seed": "16507622742462161807", "semantic_fingerprint": "sha256:1b8ac7156842aebb25971fc414a12390936d3d3200a8316471569cc7c4de0b6c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004503", "prompt": "Solve for x: 6(x - 54) = 9x - 324", "solution_steps": ["Expand: 6x - 324 = 9x - 324", "Subtract 9x from both sides: -3x - 324 = -324", "Add 324 to both sides: -3x = 0", "Divide both sides by -3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 54) = 9x - 324", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 54, \"c\": 9, \"e\": -324, \"x\": 0}", "seed": "17055636928661964066", "semantic_fingerprint": "sha256:743eb18f4ea21af20f0705aa1b5ce2b377bd1390fe2353a53c64ada490484780", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004504", "prompt": "Evaluate: 12 / (-55 + 12) / (1 + (-41))", "solution_steps": ["Add: -55 + 12 = -43", "Divide: 12 / (-43) = -12/43", "Add: 1 + (-41) = -40", "Divide: (-12/43) / (-40) = 3/430"], "final_answer": "3/430", "answer_type": "rational", "kind": "expression", "math_text": "12 / (-55 + 12) / (1 + (-41))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -55, \"c\": 12, \"d\": 1, \"e\": -41}", "seed": "2732691357948822194", "semantic_fingerprint": "sha256:ba5d38bc6bfd18eb1e3441e07374765750b61bc9ec0a8c4adca7c39651bbbc07", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004505", "prompt": "Solve for x: -8(x - 63) - 453 = 5(x - 21)", "solution_steps": ["Expand: -8x + 504 - 453 = 5(x - 21)", "Expand: -8x + 504 - 453 = 5x - 105", "Combine constants: -8x + 51 = 5x - 105", "Subtract 5x from both sides: -13x + 51 = -105", "Subtract 51 from both sides: -13x = -156", "Divide both sides by -13: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 63) - 453 = 5(x - 21)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 63, \"c\": 5, \"d\": 21, \"f\": -453, \"x\": 12}", "seed": "3450512520793856022", "semantic_fingerprint": "sha256:3ca2c58aa292f83ebcd339e2c6c0906e0325d08271431d424ce0b327141b8995", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004506", "prompt": "Find x: 8(x - 83) = 3x - 694", "solution_steps": ["Expand: 8x - 664 = 3x - 694", "Subtract 3x from both sides: 5x - 664 = -694", "Add 664 to both sides: 5x = -30", "Divide both sides by 5: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 83) = 3x - 694", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 83, \"c\": 3, \"e\": -694, \"x\": -6}", "seed": "239623158583083370", "semantic_fingerprint": "sha256:5a339d89ae96d4c4ebdc1e1d03b2c072dc58874edccddadb7c928ef7047509bf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004507", "prompt": "What is (389 / (-2) - (-919)) / (0 - (-3))?", "solution_steps": ["Divide: 389 / (-2) = -389/2", "Subtract: -389/2 - (-919) = 1449/2", "Subtract: 0 - (-3) = 3", "Divide: (1449/2) / 3 = 483/2"], "final_answer": "483/2", "answer_type": "rational", "kind": "expression", "math_text": "(389 / (-2) - (-919)) / (0 - (-3))", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 389, \"b\": -2, \"c\": -919, \"d\": 0, \"e\": -3}", "seed": "2943288166158355948", "semantic_fingerprint": "sha256:4ff480cb948afbaf5eb4d3058951bc23fd80dfacbf054e156e6c6ab2be7fdc9d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004508", "prompt": "Solve the equation 3(x - 7) + 63 = 5x + 62 for x.", "solution_steps": ["Expand: 3x - 21 + 63 = 5x + 62", "Combine constants: 3x + 42 = 5x + 62", "Subtract 5x from both sides: -2x + 42 = 62", "Subtract 42 from both sides: -2x = 20", "Divide both sides by -2: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 7) + 63 = 5x + 62", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 63, \"d\": 5, \"f\": 62, \"x\": -10}", "seed": "1944791522962277415", "semantic_fingerprint": "sha256:dab3c3951e152bda932548ded04be0c0aa5f36ed2a3e7d299d140ebfcdb89606", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004509", "prompt": "What value of x satisfies x - 98 = 9(x - 29) + 187?", "solution_steps": ["Expand: x - 98 = 9x - 261 + 187", "Combine constants: x - 98 = 9x - 74", "Subtract 9x from both sides: -8x - 98 = -74", "Add 98 to both sides: -8x = 24", "Divide both sides by -8: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 98 = 9(x - 29) + 187", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 9, \"c\": 29, \"e\": 187, \"x\": -3}", "seed": "9422221272663731738", "semantic_fingerprint": "sha256:c0f24ec1de2e8012e85f084b4b9d9caf821e11901590bde89f7165304f667f19", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004510", "prompt": "What value of x satisfies 10(x - 240) + 61 = 8(x - 541)?", "solution_steps": ["Expand: 10x - 2400 + 61 = 8(x - 541)", "Expand: 10x - 2400 + 61 = 8x - 4328", "Combine constants: 10x - 2339 = 8x - 4328", "Subtract 8x from both sides: 2x - 2339 = -4328", "Add 2339 to both sides: 2x = -1989", "Divide both sides by 2: x = -1989/2"], "final_answer": "-1989/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 240) + 61 = 8(x - 541)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 240, \"c\": 61, \"d\": 8, \"e\": 541}", "seed": "10921671297581834332", "semantic_fingerprint": "sha256:ba76c2703f24dbbe1b090e3f816db9c700303c7f1512ef9ab656681c673d0533", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004511", "prompt": "What is (-84 - (-35 - 4)) / (867 + (-19))?", "solution_steps": ["Subtract: -35 - 4 = -39", "Subtract: -84 - (-39) = -45", "Add: 867 + (-19) = 848", "Divide: -45 / 848 = -45/848"], "final_answer": "-45/848", "answer_type": "rational", "kind": "expression", "math_text": "(-84 - (-35 - 4)) / (867 + (-19))", "variable": null, "family": "expression_4op", "shape": "(/ (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": -35, \"c\": 4, \"d\": 867, \"e\": -19}", "seed": "3819580065120637871", "semantic_fingerprint": "sha256:65d00fbc0bf0cd3c70229de6b75fc65e498c5134d8f791d3677712065454f7ec", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004512", "prompt": "Compute: -64 - (90 + (68 - (-963)))", "solution_steps": ["Subtract: 68 - (-963) = 1031", "Add: 90 + 1031 = 1121", "Subtract: -64 - 1121 = -1185"], "final_answer": "-1185", "answer_type": "integer", "kind": "expression", "math_text": "-64 - (90 + (68 - (-963)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": 90, \"c\": 68, \"d\": -963}", "seed": "14295304921365996424", "semantic_fingerprint": "sha256:d1c1f7243e0f12299bde38eb150b5be28fa81b402c17a2b52428618b1ae045bc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004513", "prompt": "Calculate: (4 + 77) / (30 / 276)", "solution_steps": ["Add: 4 + 77 = 81", "Divide: 30 / 276 = 5/46", "Divide: 81 / (5/46) = 3726/5"], "final_answer": "3726/5", "answer_type": "rational", "kind": "expression", "math_text": "(4 + 77) / (30 / 276)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 77, \"c\": 30, \"d\": 276}", "seed": "14104330564100298781", "semantic_fingerprint": "sha256:a0ada02cd8bd78f1d5c818f39e39bd086104cae1e4bc609c97c1788b58a841a1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004514", "prompt": "Solve the equation x - 8 = 5(x - 42) + 198 for x.", "solution_steps": ["Expand: x - 8 = 5x - 210 + 198", "Combine constants: x - 8 = 5x - 12", "Subtract 5x from both sides: -4x - 8 = -12", "Add 8 to both sides: -4x = -4", "Divide both sides by -4: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8 = 5(x - 42) + 198", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"c\": 42, \"e\": 198, \"x\": 1}", "seed": "7443032279076763207", "semantic_fingerprint": "sha256:7fb299a41b22c9c9a05eed631d82684a86cf1492a5a904eda39578645b9c9bc8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004515", "prompt": "What is -59 * (-6 * (-32 - (-27)))?", "solution_steps": ["Subtract: -32 - (-27) = -5", "Multiply: -6 * (-5) = 30", "Multiply: -59 * 30 = -1770"], "final_answer": "-1770", "answer_type": "integer", "kind": "expression", "math_text": "-59 * (-6 * (-32 - (-27)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": -6, \"c\": -32, \"d\": -27}", "seed": "9102393706058123841", "semantic_fingerprint": "sha256:cf502916416b44be704149a3447e162b1df48925296954fddc4f1c7868c04f03", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004516", "prompt": "Calculate: 4 - (1 + (-337 - 602))", "solution_steps": ["Subtract: -337 - 602 = -939", "Add: 1 + (-939) = -938", "Subtract: 4 - (-938) = 942"], "final_answer": "942", "answer_type": "integer", "kind": "expression", "math_text": "4 - (1 + (-337 - 602))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": -337, \"d\": 602}", "seed": "2272160863467248591", "semantic_fingerprint": "sha256:6a0f40fc77200322ab02c634cb51782e0ee28fbab8f54a4db181c85e2bee85cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004517", "prompt": "Solve the equation 5(x + 86) - 979 = x - 613 for x.", "solution_steps": ["Expand: 5x + 430 - 979 = x - 613", "Combine constants: 5x - 549 = x - 613", "Subtract x from both sides: 4x - 549 = -613", "Add 549 to both sides: 4x = -64", "Divide both sides by 4: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 86) - 979 = x - 613", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 86, \"c\": 979, \"e\": -613, \"x\": -16}", "seed": "10313038919808201793", "semantic_fingerprint": "sha256:07bb47092c64814a12186232ed56befa2d7485016c5bffeeb924d9b5a2c2f12b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004518", "prompt": "Solve for x: x - 4 = -6(x - 7) + 9", "solution_steps": ["Expand: x - 4 = -6x + 42 + 9", "Combine constants: x - 4 = -6x + 51", "Add 6x to both sides: 7x - 4 = 51", "Add 4 to both sides: 7x = 55", "Divide both sides by 7: x = 55/7"], "final_answer": "55/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 4 = -6(x - 7) + 9", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -6, \"c\": 7, \"d\": 9}", "seed": "15108700816110941362", "semantic_fingerprint": "sha256:974436685337d5b85bbdfe218519570df89c61b468821e45b293dae414b91560", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004519", "prompt": "Solve for x: 7(x - 5) = -3x - 185", "solution_steps": ["Expand: 7x - 35 = -3x - 185", "Add 3x to both sides: 10x - 35 = -185", "Add 35 to both sides: 10x = -150", "Divide both sides by 10: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 5) = -3x - 185", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": -3, \"e\": -185, \"x\": -15}", "seed": "16177612653344838965", "semantic_fingerprint": "sha256:c81aeaf75b80a645d83c06d5acfa16723eff5f92e129e26d7f48e4b3d8f253de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004520", "prompt": "Solve for x: 11(x - 4) + 32 = 8(x - 9)", "solution_steps": ["Expand: 11x - 44 + 32 = 8(x - 9)", "Expand: 11x - 44 + 32 = 8x - 72", "Combine constants: 11x - 12 = 8x - 72", "Subtract 8x from both sides: 3x - 12 = -72", "Add 12 to both sides: 3x = -60", "Divide both sides by 3: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 4) + 32 = 8(x - 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 8, \"d\": 9, \"f\": 32, \"x\": -20}", "seed": "4020515299332462986", "semantic_fingerprint": "sha256:e4a25441dd7659c8f22abdd209c3ab115838e68f16c6d6cd7f111a216685dad3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004521", "prompt": "Solve the equation 12(x - 59) - 8 = -7(x - 3) - 395 for x.", "solution_steps": ["Expand: 12x - 708 - 8 = -7(x - 3) - 395", "Expand: 12x - 708 - 8 = -7x + 21 - 395", "Combine constants: 12x - 716 = -7x + 21 - 395", "Combine constants: 12x - 716 = -7x - 374", "Add 7x to both sides: 19x - 716 = -374", "Add 716 to both sides: 19x = 342", "Divide both sides by 19: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 59) - 8 = -7(x - 3) - 395", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 59, \"c\": 8, \"d\": -7, \"e\": 3, \"g\": -395, \"x\": 18}", "seed": "2979755483701873316", "semantic_fingerprint": "sha256:1cd9901352215a088aecd8ae71ec4f528e418c797fb681c76e3da1378152006c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004522", "prompt": "Evaluate: -76 + 5 - 7 + (-854)", "solution_steps": ["Add: -76 + 5 = -71", "Subtract: -71 - 7 = -78", "Add: -78 + (-854) = -932"], "final_answer": "-932", "answer_type": "integer", "kind": "expression", "math_text": "-76 + 5 - 7 + (-854)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": 5, \"c\": 7, \"d\": -854}", "seed": "5551301673482170717", "semantic_fingerprint": "sha256:539ee906c1d9a88a58b38cfb5cb79f3b133d0bb6e24c641d45f2e6de10b1fef6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004523", "prompt": "What value of x satisfies 5(x - 1) + 105 = 7(x + 86) - 486?", "solution_steps": ["Expand: 5x - 5 + 105 = 7(x + 86) - 486", "Expand: 5x - 5 + 105 = 7x + 602 - 486", "Combine constants: 5x + 100 = 7x + 602 - 486", "Combine constants: 5x + 100 = 7x + 116", "Subtract 7x from both sides: -2x + 100 = 116", "Subtract 100 from both sides: -2x = 16", "Divide both sides by -2: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 1) + 105 = 7(x + 86) - 486", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"c\": 105, \"d\": 7, \"e\": 86, \"g\": -486, \"x\": -8}", "seed": "14534125732865587947", "semantic_fingerprint": "sha256:c7e2fd03d2b7d0e60e4af2dace02d836c1f9fe3466ff8c42120cd1ee7b189f90", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004524", "prompt": "Find x: 3(x - 66) = -5x - 166", "solution_steps": ["Expand: 3x - 198 = -5x - 166", "Add 5x to both sides: 8x - 198 = -166", "Add 198 to both sides: 8x = 32", "Divide both sides by 8: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 66) = -5x - 166", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 66, \"c\": -5, \"e\": -166, \"x\": 4}", "seed": "15766899110792807108", "semantic_fingerprint": "sha256:81268819a24037775eee420e56c8978a68e09ec666b8129b74d3ee7af2b0758d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004525", "prompt": "What value of x satisfies 5(x - 78) = 2x - 64?", "solution_steps": ["Expand: 5x - 390 = 2x - 64", "Subtract 2x from both sides: 3x - 390 = -64", "Add 390 to both sides: 3x = 326", "Divide both sides by 3: x = 326/3"], "final_answer": "326/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 78) = 2x - 64", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 78, \"c\": 2, \"d\": 64}", "seed": "12928617033662375787", "semantic_fingerprint": "sha256:ef9b2ace96d3b044af43495302fd6be97b68fd189c4f9a1d3bf326a68ec451c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004526", "prompt": "What is -81 * (19 + 3 / 1) - 973?", "solution_steps": ["Divide: 3 / 1 = 3", "Add: 19 + 3 = 22", "Multiply: -81 * 22 = -1782", "Subtract: -1782 - 973 = -2755"], "final_answer": "-2755", "answer_type": "integer", "kind": "expression", "math_text": "-81 * (19 + 3 / 1) - 973", "variable": null, "family": "expression_4op", "shape": "(- (* n (+ n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 19, \"c\": 3, \"d\": 1, \"e\": 973}", "seed": "4080052123591724341", "semantic_fingerprint": "sha256:fae050c864c889a02ca6fcda6e0d71c53c992388a63fefeaf9d71596f332e73a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004527", "prompt": "Solve the equation -5(x - 40) - 278 = 4(x - 6) for x.", "solution_steps": ["Expand: -5x + 200 - 278 = 4(x - 6)", "Expand: -5x + 200 - 278 = 4x - 24", "Combine constants: -5x - 78 = 4x - 24", "Subtract 4x from both sides: -9x - 78 = -24", "Add 78 to both sides: -9x = 54", "Divide both sides by -9: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 40) - 278 = 4(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 40, \"c\": 4, \"d\": 6, \"f\": -278, \"x\": -6}", "seed": "1895078716888196817", "semantic_fingerprint": "sha256:0496b178f8a7e304582b541f88b643a778b5e3f0f4cc976ec485f414959430c9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004528", "prompt": "What value of x satisfies -3(x + 3) - 48 = x - 57?", "solution_steps": ["Expand: -3x - 9 - 48 = x - 57", "Combine constants: -3x - 57 = x - 57", "Subtract x from both sides: -4x - 57 = -57", "Add 57 to both sides: -4x = 0", "Divide both sides by -4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 3) - 48 = x - 57", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 3, \"c\": 48, \"e\": -57, \"x\": 0}", "seed": "14868342021141674953", "semantic_fingerprint": "sha256:e89909c08af3ebd76abeb7f49bc09b40480e21ef7d808199bea8c82ed910d9b2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004529", "prompt": "Calculate: 46 * (-233 - 432) * (-27) - (-9 - 1)", "solution_steps": ["Subtract: -233 - 432 = -665", "Multiply: 46 * (-665) = -30590", "Multiply: -30590 * (-27) = 825930", "Subtract: -9 - 1 = -10", "Subtract: 825930 - (-10) = 825940"], "final_answer": "825940", "answer_type": "integer", "kind": "expression", "math_text": "46 * (-233 - 432) * (-27) - (-9 - 1)", "variable": null, "family": "expression_5op", "shape": "(- (* (* n (- n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -233, \"c\": 432, \"d\": -27, \"e\": -9, \"f\": 1}", "seed": "11460280438051988679", "semantic_fingerprint": "sha256:09a8f363f0d83502fbaf3810a009d328ef74e7d1bbca6c8b532e1194d7b2b30f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004530", "prompt": "Calculate: 78 + 65 - (-4 / 705 - 127 * 4)", "solution_steps": ["Add: 78 + 65 = 143", "Divide: -4 / 705 = -4/705", "Multiply: 127 * 4 = 508", "Subtract: -4/705 - 508 = -358144/705", "Subtract: 143 - (-358144/705) = 458959/705"], "final_answer": "458959/705", "answer_type": "rational", "kind": "expression", "math_text": "78 + 65 - (-4 / 705 - 127 * 4)", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (- (/ n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": 65, \"c\": -4, \"d\": 705, \"e\": 127, \"f\": 4}", "seed": "6789590991202502776", "semantic_fingerprint": "sha256:3f79daab01496a66e61b921c74b7acf8db36dd4be8bf872b33db568e083b0bc5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004531", "prompt": "Solve for x: x - 6 = 2(x - 68) + 149", "solution_steps": ["Expand: x - 6 = 2x - 136 + 149", "Combine constants: x - 6 = 2x + 13", "Subtract 2x from both sides: -x - 6 = 13", "Add 6 to both sides: -x = 19", "Divide both sides by -1: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6 = 2(x - 68) + 149", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 68, \"e\": 149, \"x\": -19}", "seed": "6653582842518853487", "semantic_fingerprint": "sha256:4e61744a40102fb4ac384d917d372cfff72f9b9f01d80471af31452cf9766b68", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004532", "prompt": "Find x: x - 33 = 12(x - 6) + 171", "solution_steps": ["Expand: x - 33 = 12x - 72 + 171", "Combine constants: x - 33 = 12x + 99", "Subtract 12x from both sides: -11x - 33 = 99", "Add 33 to both sides: -11x = 132", "Divide both sides by -11: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 33 = 12(x - 6) + 171", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 12, \"c\": 6, \"e\": 171, \"x\": -12}", "seed": "5530201805204105403", "semantic_fingerprint": "sha256:fb3b130214304204489828e37d0821bd6184f71df14e673391bf128091fecc81", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004533", "prompt": "Compute: 0 * (-35 - (429 - (-801)) * (-7))", "solution_steps": ["Subtract: 429 - (-801) = 1230", "Multiply: 1230 * (-7) = -8610", "Subtract: -35 - (-8610) = 8575", "Multiply: 0 * 8575 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-35 - (429 - (-801)) * (-7))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (* (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -35, \"c\": 429, \"d\": -801, \"e\": -7}", "seed": "12595727840806900936", "semantic_fingerprint": "sha256:8dc5ac4c41954ce3e5e558b7237bc279c84fb4443672e745843c1909ecb91c03", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004534", "prompt": "What value of x satisfies 6x - 3 = -3(x + 153) + 402?", "solution_steps": ["Expand: 6x - 3 = -3x - 459 + 402", "Combine constants: 6x - 3 = -3x - 57", "Add 3x to both sides: 9x - 3 = -57", "Add 3 to both sides: 9x = -54", "Divide both sides by 9: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 3 = -3(x + 153) + 402", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": -3, \"d\": 153, \"f\": 402, \"x\": -6}", "seed": "17071337611463609239", "semantic_fingerprint": "sha256:241b3b595fa17e2607a2c011d795b44c3495e879ce93b21b42eb0511d99845b6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004535", "prompt": "Compute: (-942 - (-2)) * (50 / 76)", "solution_steps": ["Subtract: -942 - (-2) = -940", "Divide: 50 / 76 = 25/38", "Multiply: -940 * (25/38) = -11750/19"], "final_answer": "-11750/19", "answer_type": "rational", "kind": "expression", "math_text": "(-942 - (-2)) * (50 / 76)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -942, \"b\": -2, \"c\": 50, \"d\": 76}", "seed": "5930778204422177027", "semantic_fingerprint": "sha256:86b6c13111e838003678dfe379b5366ac346069ed3af9449e416d2a260f89031", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004536", "prompt": "What value of x satisfies 2(x - 387) - 14 = -8(x - 15) - 3?", "solution_steps": ["Expand: 2x - 774 - 14 = -8(x - 15) - 3", "Expand: 2x - 774 - 14 = -8x + 120 - 3", "Combine constants: 2x - 788 = -8x + 120 - 3", "Combine constants: 2x - 788 = -8x + 117", "Add 8x to both sides: 10x - 788 = 117", "Add 788 to both sides: 10x = 905", "Divide both sides by 10: x = 181/2"], "final_answer": "181/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 387) - 14 = -8(x - 15) - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 387, \"c\": 14, \"d\": -8, \"e\": 15, \"f\": 3}", "seed": "8955493808781106589", "semantic_fingerprint": "sha256:5831e49c184431a754c2ed46fbb8d33b582474b003834ce01b47b270164cf643", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004537", "prompt": "What is 0 / (-1) + (-60) / (-1) / (24 + 795)?", "solution_steps": ["Divide: 0 / (-1) = 0", "Divide: -60 / (-1) = 60", "Add: 24 + 795 = 819", "Divide: 60 / 819 = 20/273", "Add: 0 + 20/273 = 20/273"], "final_answer": "20/273", "answer_type": "rational", "kind": "expression", "math_text": "0 / (-1) + (-60) / (-1) / (24 + 795)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (/ (/ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -1, \"c\": -60, \"d\": -1, \"e\": 24, \"f\": 795}", "seed": "10996669763785260203", "semantic_fingerprint": "sha256:b58418393c97e43d798861e7214b21ce4914b4346cc78924c4bbde4374bab325", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004538", "prompt": "What value of x satisfies -4x - 591 = 8(x + 97) + 51?", "solution_steps": ["Expand: -4x - 591 = 8x + 776 + 51", "Combine constants: -4x - 591 = 8x + 827", "Subtract 8x from both sides: -12x - 591 = 827", "Add 591 to both sides: -12x = 1418", "Divide both sides by -12: x = -709/6"], "final_answer": "-709/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x - 591 = 8(x + 97) + 51", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 591, \"c\": 8, \"d\": 97, \"e\": 51}", "seed": "8584516803954867951", "semantic_fingerprint": "sha256:072d88acd330025ea94b07428568cb770bc387636debddb93254103723084119", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004539", "prompt": "Solve for x: 9(x - 23) = 6x - 228", "solution_steps": ["Expand: 9x - 207 = 6x - 228", "Subtract 6x from both sides: 3x - 207 = -228", "Add 207 to both sides: 3x = -21", "Divide both sides by 3: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 23) = 6x - 228", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 23, \"c\": 6, \"e\": -228, \"x\": -7}", "seed": "1543649110748317730", "semantic_fingerprint": "sha256:04ff81a9128c60f93d0d9e0252e2d1d35cd6a584a09a1698fdafecac5482c469", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004540", "prompt": "What is 592 / 507 * (-50 * (-6) + (7 + (-740)))?", "solution_steps": ["Divide: 592 / 507 = 592/507", "Multiply: -50 * (-6) = 300", "Add: 7 + (-740) = -733", "Add: 300 + (-733) = -433", "Multiply: (592/507) * (-433) = -256336/507"], "final_answer": "-256336/507", "answer_type": "rational", "kind": "expression", "math_text": "592 / 507 * (-50 * (-6) + (7 + (-740)))", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (+ (* n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 592, \"b\": 507, \"c\": -50, \"d\": -6, \"e\": 7, \"f\": -740}", "seed": "11998857117209736244", "semantic_fingerprint": "sha256:dc8bdf3222a84a14c8595ac5774714733b4b37b753cc814e3bcf787581e7e0e4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004541", "prompt": "Evaluate: 236 / 462 * (-75) * (6 + 9) / 58", "solution_steps": ["Divide: 236 / 462 = 118/231", "Multiply: (118/231) * (-75) = -2950/77", "Add: 6 + 9 = 15", "Multiply: (-2950/77) * 15 = -44250/77", "Divide: (-44250/77) / 58 = -22125/2233"], "final_answer": "-22125/2233", "answer_type": "rational", "kind": "expression", "math_text": "236 / 462 * (-75) * (6 + 9) / 58", "variable": null, "family": "expression_5op", "shape": "(/ (* (* (/ n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 236, \"b\": 462, \"c\": -75, \"d\": 6, \"e\": 9, \"f\": 58}", "seed": "3432776556332927113", "semantic_fingerprint": "sha256:ad98de01d127eef526ac31f7824525fb4268e87f449296acb462432ca299ba2f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004542", "prompt": "Calculate: 321 + 112 - (77 + 8)", "solution_steps": ["Add: 321 + 112 = 433", "Add: 77 + 8 = 85", "Subtract: 433 - 85 = 348"], "final_answer": "348", "answer_type": "integer", "kind": "expression", "math_text": "321 + 112 - (77 + 8)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 321, \"b\": 112, \"c\": 77, \"d\": 8}", "seed": "8322745504161416875", "semantic_fingerprint": "sha256:e091372cda432edead2344f5d8d62313655fb6dd8e98db0943c286205c90d232", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004543", "prompt": "Evaluate: 5 - (-9) * (-9) - (-3 + (581 + 576))", "solution_steps": ["Multiply: -9 * (-9) = 81", "Subtract: 5 - 81 = -76", "Add: 581 + 576 = 1157", "Add: -3 + 1157 = 1154", "Subtract: -76 - 1154 = -1230"], "final_answer": "-1230", "answer_type": "integer", "kind": "expression", "math_text": "5 - (-9) * (-9) - (-3 + (581 + 576))", "variable": null, "family": "expression_5op", "shape": "(- (- n (* n n)) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -9, \"c\": -9, \"d\": -3, \"e\": 581, \"f\": 576}", "seed": "14417395746129883663", "semantic_fingerprint": "sha256:d1c5b792528305d8f912d80426dda0895e6e9c0ace55d45746bb55cc4c94209d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004544", "prompt": "What is (-51 - (-698)) * (8 * (-54))?", "solution_steps": ["Subtract: -51 - (-698) = 647", "Multiply: 8 * (-54) = -432", "Multiply: 647 * (-432) = -279504"], "final_answer": "-279504", "answer_type": "integer", "kind": "expression", "math_text": "(-51 - (-698)) * (8 * (-54))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -698, \"c\": 8, \"d\": -54}", "seed": "6430053987349291953", "semantic_fingerprint": "sha256:0de374a3a4755c4e6f1aec8ae9e7295fda596845b8df54677d5ba4008377b7d8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004545", "prompt": "Calculate: (-84 + 15 + (440 - (-70 + (-51)))) * 75", "solution_steps": ["Add: -84 + 15 = -69", "Add: -70 + (-51) = -121", "Subtract: 440 - (-121) = 561", "Add: -69 + 561 = 492", "Multiply: 492 * 75 = 36900"], "final_answer": "36900", "answer_type": "integer", "kind": "expression", "math_text": "(-84 + 15 + (440 - (-70 + (-51)))) * 75", "variable": null, "family": "expression_5op", "shape": "(* (+ (+ n n) (- n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": 15, \"c\": 440, \"d\": -70, \"e\": -51, \"f\": 75}", "seed": "10033527180496718627", "semantic_fingerprint": "sha256:04a14ced4f9582630c1e38770a1c513e8611fa56249842a4b3fdfbc00d318b49", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004546", "prompt": "What is -72 + (114 - 8) + (-4) * (-3)?", "solution_steps": ["Subtract: 114 - 8 = 106", "Add: -72 + 106 = 34", "Multiply: -4 * (-3) = 12", "Add: 34 + 12 = 46"], "final_answer": "46", "answer_type": "integer", "kind": "expression", "math_text": "-72 + (114 - 8) + (-4) * (-3)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": 114, \"c\": 8, \"d\": -4, \"e\": -3}", "seed": "11259680471662553694", "semantic_fingerprint": "sha256:62023a2f42df25918bbaf33df246253b57281f87e0cfc2831ad21a08ca3b1389", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004547", "prompt": "Solve for x: 2(x - 84) - 15 = -11(x - 269) - 11", "solution_steps": ["Expand: 2x - 168 - 15 = -11(x - 269) - 11", "Expand: 2x - 168 - 15 = -11x + 2959 - 11", "Combine constants: 2x - 183 = -11x + 2959 - 11", "Combine constants: 2x - 183 = -11x + 2948", "Add 11x to both sides: 13x - 183 = 2948", "Add 183 to both sides: 13x = 3131", "Divide both sides by 13: x = 3131/13"], "final_answer": "3131/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 84) - 15 = -11(x - 269) - 11", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 84, \"c\": 15, \"d\": -11, \"e\": 269, \"f\": 11}", "seed": "16892143989901210665", "semantic_fingerprint": "sha256:3126ececc0d77dda9b56328b037984dcc47d7449c013cc4ffc34f53198929cbf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004548", "prompt": "What value of x satisfies 6(x - 498) + 71 = -3x + 102?", "solution_steps": ["Expand: 6x - 2988 + 71 = -3x + 102", "Combine constants: 6x - 2917 = -3x + 102", "Add 3x to both sides: 9x - 2917 = 102", "Add 2917 to both sides: 9x = 3019", "Divide both sides by 9: x = 3019/9"], "final_answer": "3019/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 498) + 71 = -3x + 102", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 498, \"c\": 71, \"d\": -3, \"e\": 102}", "seed": "15594521468869604163", "semantic_fingerprint": "sha256:dfe91bbb71a03133c9c190c9e468b0d06a0cee40295c3e196e90b1fdda0c6390", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004549", "prompt": "Evaluate: 85 + 2 - (-6 + (-43))", "solution_steps": ["Add: 85 + 2 = 87", "Add: -6 + (-43) = -49", "Subtract: 87 - (-49) = 136"], "final_answer": "136", "answer_type": "integer", "kind": "expression", "math_text": "85 + 2 - (-6 + (-43))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": 2, \"c\": -6, \"d\": -43}", "seed": "3058832667783325654", "semantic_fingerprint": "sha256:fbf1e400755be013ff260f2fa99fc0ff7980256cb1c77714fe81a30ab4943421", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004550", "prompt": "Solve for x: x - 5 = -6(x - 4) + 9", "solution_steps": ["Expand: x - 5 = -6x + 24 + 9", "Combine constants: x - 5 = -6x + 33", "Add 6x to both sides: 7x - 5 = 33", "Add 5 to both sides: 7x = 38", "Divide both sides by 7: x = 38/7"], "final_answer": "38/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5 = -6(x - 4) + 9", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -6, \"c\": 4, \"d\": 9}", "seed": "9877624268507067420", "semantic_fingerprint": "sha256:e3739733f927a5a08412b0f363dd3504cbc574190545488f19d767e4298a616d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004551", "prompt": "Evaluate: (9 - 8 / 7) / (-526)", "solution_steps": ["Divide: 8 / 7 = 8/7", "Subtract: 9 - 8/7 = 55/7", "Divide: (55/7) / (-526) = -55/3682"], "final_answer": "-55/3682", "answer_type": "rational", "kind": "expression", "math_text": "(9 - 8 / 7) / (-526)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 7, \"d\": -526}", "seed": "10720507546448415193", "semantic_fingerprint": "sha256:f5243939273b7b1438be031eba67105355dbc588c69295eecb82ab67d6dab0fa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004552", "prompt": "What value of x satisfies 12(x - 29) - 345 = 9(x - 82)?", "solution_steps": ["Expand: 12x - 348 - 345 = 9(x - 82)", "Expand: 12x - 348 - 345 = 9x - 738", "Combine constants: 12x - 693 = 9x - 738", "Subtract 9x from both sides: 3x - 693 = -738", "Add 693 to both sides: 3x = -45", "Divide both sides by 3: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 29) - 345 = 9(x - 82)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 29, \"c\": 9, \"d\": 82, \"f\": -345, \"x\": -15}", "seed": "13649120363369450001", "semantic_fingerprint": "sha256:944ba9a5f3fc324b09c8bd06e5d8ee9dfee0b163eadd39fa0f4f32327b39765c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004553", "prompt": "Find x: x - 355 = 4(x - 5) + 59", "solution_steps": ["Expand: x - 355 = 4x - 20 + 59", "Combine constants: x - 355 = 4x + 39", "Subtract 4x from both sides: -3x - 355 = 39", "Add 355 to both sides: -3x = 394", "Divide both sides by -3: x = -394/3"], "final_answer": "-394/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 355 = 4(x - 5) + 59", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 355, \"b\": 4, \"c\": 5, \"d\": 59}", "seed": "7756405235207309656", "semantic_fingerprint": "sha256:b34eda8ee9c897352f44345ef5062b86cf7baef85bb9b89ae6b60bab87c42fe0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004554", "prompt": "Solve the equation 2(x - 6) - 1 = -8(x - 8) - 968 for x.", "solution_steps": ["Expand: 2x - 12 - 1 = -8(x - 8) - 968", "Expand: 2x - 12 - 1 = -8x + 64 - 968", "Combine constants: 2x - 13 = -8x + 64 - 968", "Combine constants: 2x - 13 = -8x - 904", "Add 8x to both sides: 10x - 13 = -904", "Add 13 to both sides: 10x = -891", "Divide both sides by 10: x = -891/10"], "final_answer": "-891/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 6) - 1 = -8(x - 8) - 968", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 1, \"d\": -8, \"e\": 8, \"f\": 968}", "seed": "5588129873433821934", "semantic_fingerprint": "sha256:59eea1d367225a2e186d7e1341431c8f49e360c5991d38b3ea5e4bb3096764a9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004555", "prompt": "Evaluate: -650 / (-46 - 75 + (-144))", "solution_steps": ["Subtract: -46 - 75 = -121", "Add: -121 + (-144) = -265", "Divide: -650 / (-265) = 130/53"], "final_answer": "130/53", "answer_type": "rational", "kind": "expression", "math_text": "-650 / (-46 - 75 + (-144))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -650, \"b\": -46, \"c\": 75, \"d\": -144}", "seed": "1574276009207132971", "semantic_fingerprint": "sha256:533728ac4539af799e5068eb6fbe4733bf14ea7c2fec44f9fcbc2550b280c045", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004556", "prompt": "What is 0 + (-41) - (-887 + 33)?", "solution_steps": ["Add: 0 + (-41) = -41", "Add: -887 + 33 = -854", "Subtract: -41 - (-854) = 813"], "final_answer": "813", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-41) - (-887 + 33)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -41, \"c\": -887, \"d\": 33}", "seed": "8278092824218487947", "semantic_fingerprint": "sha256:54a5690334dd0686823cf67a2fda0f32cfb06b820e4ae5d54cb7ed242e24a580", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004557", "prompt": "What is 9 * (-708 * (8 - 5))?", "solution_steps": ["Subtract: 8 - 5 = 3", "Multiply: -708 * 3 = -2124", "Multiply: 9 * (-2124) = -19116"], "final_answer": "-19116", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-708 * (8 - 5))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -708, \"c\": 8, \"d\": 5}", "seed": "4448268255283641432", "semantic_fingerprint": "sha256:997eaca8a31469fba39657eafbf66a9500f847683a8322451d7302b81ca3854e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004558", "prompt": "Solve for x: 7(x - 567) - 1 = 11(x - 28) - 2", "solution_steps": ["Expand: 7x - 3969 - 1 = 11(x - 28) - 2", "Expand: 7x - 3969 - 1 = 11x - 308 - 2", "Combine constants: 7x - 3970 = 11x - 308 - 2", "Combine constants: 7x - 3970 = 11x - 310", "Subtract 11x from both sides: -4x - 3970 = -310", "Add 3970 to both sides: -4x = 3660", "Divide both sides by -4: x = -915"], "final_answer": "-915", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 567) - 1 = 11(x - 28) - 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 567, \"c\": 1, \"d\": 11, \"e\": 28, \"f\": 2}", "seed": "3799276959683022890", "semantic_fingerprint": "sha256:19e0acffac9ddba6064a1172e16bd44dc7b5fdf4f1a459944c9fea61f91eb8fd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004559", "prompt": "Compute: 59 + (335 / (-89) + (-6 + 329))", "solution_steps": ["Divide: 335 / (-89) = -335/89", "Add: -6 + 329 = 323", "Add: -335/89 + 323 = 28412/89", "Add: 59 + 28412/89 = 33663/89"], "final_answer": "33663/89", "answer_type": "rational", "kind": "expression", "math_text": "59 + (335 / (-89) + (-6 + 329))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": 335, \"c\": -89, \"d\": -6, \"e\": 329}", "seed": "3754668495053019282", "semantic_fingerprint": "sha256:bce214c39772de3ca5850a8ff5c9cfe12c5a5bdabbeaafc5b2b217ebbd71619e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004560", "prompt": "Solve the equation 7(x - 76) = 3x - 52 for x.", "solution_steps": ["Expand: 7x - 532 = 3x - 52", "Subtract 3x from both sides: 4x - 532 = -52", "Add 532 to both sides: 4x = 480", "Divide both sides by 4: x = 120"], "final_answer": "120", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 76) = 3x - 52", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 76, \"c\": 3, \"d\": 52}", "seed": "3548933786562649171", "semantic_fingerprint": "sha256:4d2b68bee7661e7a7af8325e387b8357778c60d105f7665a3fb7835eaf44b37c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004561", "prompt": "Calculate: (479 + (-43)) / (775 / (-579))", "solution_steps": ["Add: 479 + (-43) = 436", "Divide: 775 / (-579) = -775/579", "Divide: 436 / (-775/579) = -252444/775"], "final_answer": "-252444/775", "answer_type": "rational", "kind": "expression", "math_text": "(479 + (-43)) / (775 / (-579))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 479, \"b\": -43, \"c\": 775, \"d\": -579}", "seed": "10197407702839015223", "semantic_fingerprint": "sha256:df0267f85423a597b9d2b32a2b814200dac65dcf47b09b32c9334bb88488a2b6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004562", "prompt": "Compute: 3 / ((49 - (-1)) / (67 - 64))", "solution_steps": ["Subtract: 49 - (-1) = 50", "Subtract: 67 - 64 = 3", "Divide: 50 / 3 = 50/3", "Divide: 3 / (50/3) = 9/50"], "final_answer": "9/50", "answer_type": "rational", "kind": "expression", "math_text": "3 / ((49 - (-1)) / (67 - 64))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (- n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 49, \"c\": -1, \"d\": 67, \"e\": 64}", "seed": "11993766166120586465", "semantic_fingerprint": "sha256:d30df58e6186bda16613ccd626687ff55b35a8d1d99533a80bb7ad7db938f636", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004563", "prompt": "What is 129 * (7 * (-29 - (-480)))?", "solution_steps": ["Subtract: -29 - (-480) = 451", "Multiply: 7 * 451 = 3157", "Multiply: 129 * 3157 = 407253"], "final_answer": "407253", "answer_type": "integer", "kind": "expression", "math_text": "129 * (7 * (-29 - (-480)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 129, \"b\": 7, \"c\": -29, \"d\": -480}", "seed": "8440432173776260384", "semantic_fingerprint": "sha256:e8a14c9e27d9a8bd9843b97258fc471134d2db6891787094b7db22d73d5d6c76", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004564", "prompt": "Calculate: -8 - (-32 - (-9 + (-3)) / 17 - 0)", "solution_steps": ["Add: -9 + (-3) = -12", "Divide: -12 / 17 = -12/17", "Subtract: -32 - (-12/17) = -532/17", "Subtract: -532/17 - 0 = -532/17", "Subtract: -8 - (-532/17) = 396/17"], "final_answer": "396/17", "answer_type": "rational", "kind": "expression", "math_text": "-8 - (-32 - (-9 + (-3)) / 17 - 0)", "variable": null, "family": "expression_5op", "shape": "(- n (- (- n (/ (+ n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -32, \"c\": -9, \"d\": -3, \"e\": 17, \"f\": 0}", "seed": "15744192161979150334", "semantic_fingerprint": "sha256:fe1c256bfa66cfb2d78fa14014f5077d7250a2258986ab9fc298e24692f3722b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004565", "prompt": "What is (-915 * 1 + (-92)) * 7?", "solution_steps": ["Multiply: -915 * 1 = -915", "Add: -915 + (-92) = -1007", "Multiply: -1007 * 7 = -7049"], "final_answer": "-7049", "answer_type": "integer", "kind": "expression", "math_text": "(-915 * 1 + (-92)) * 7", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -915, \"b\": 1, \"c\": -92, \"d\": 7}", "seed": "14853292396525019746", "semantic_fingerprint": "sha256:453fdcd3df1fd2fe7cc03795b9d949fb91649028425e8b0483788edc652bf83e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004566", "prompt": "Evaluate: 6 - (-86) / (3 * (-7))", "solution_steps": ["Multiply: 3 * (-7) = -21", "Divide: -86 / (-21) = 86/21", "Subtract: 6 - 86/21 = 40/21"], "final_answer": "40/21", "answer_type": "rational", "kind": "expression", "math_text": "6 - (-86) / (3 * (-7))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -86, \"c\": 3, \"d\": -7}", "seed": "3589857485923808740", "semantic_fingerprint": "sha256:caad99efd19ccd28defbac343f5580ae0963d180ac377c8cca2e7fe3b41bca3c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004567", "prompt": "Evaluate: -177 * 1 * (-4) + (-1) / 59", "solution_steps": ["Multiply: -177 * 1 = -177", "Multiply: -177 * (-4) = 708", "Divide: -1 / 59 = -1/59", "Add: 708 + (-1/59) = 41771/59"], "final_answer": "41771/59", "answer_type": "rational", "kind": "expression", "math_text": "-177 * 1 * (-4) + (-1) / 59", "variable": null, "family": "expression_4op", "shape": "(+ (* (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -177, \"b\": 1, \"c\": -4, \"d\": -1, \"e\": 59}", "seed": "726764020192798589", "semantic_fingerprint": "sha256:774aee6ff274ded0bd4c3dd714012d9b1ae146b9dd04a3bf2aa25e71f7c74558", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004568", "prompt": "Find x: -9(x - 2) + 99 = 8x + 219", "solution_steps": ["Expand: -9x + 18 + 99 = 8x + 219", "Combine constants: -9x + 117 = 8x + 219", "Subtract 8x from both sides: -17x + 117 = 219", "Subtract 117 from both sides: -17x = 102", "Divide both sides by -17: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 2) + 99 = 8x + 219", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 2, \"c\": 99, \"d\": 8, \"f\": 219, \"x\": -6}", "seed": "11629311573625099409", "semantic_fingerprint": "sha256:cd13f645f40e5faf3e3972dd43c40b6802bd74d81108b1a182289bc33b8609dc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004569", "prompt": "Solve for x: 10x - 5 = 3(x + 87) + 6", "solution_steps": ["Expand: 10x - 5 = 3x + 261 + 6", "Combine constants: 10x - 5 = 3x + 267", "Subtract 3x from both sides: 7x - 5 = 267", "Add 5 to both sides: 7x = 272", "Divide both sides by 7: x = 272/7"], "final_answer": "272/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x - 5 = 3(x + 87) + 6", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"c\": 3, \"d\": 87, \"e\": 6}", "seed": "824051378059747196", "semantic_fingerprint": "sha256:146353f94cde3eebdf86465b12a9e72d4adb87c75adb5187b6713072bdbcb28e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004570", "prompt": "Solve for x: 4(x - 57) = -6x - 258", "solution_steps": ["Expand: 4x - 228 = -6x - 258", "Add 6x to both sides: 10x - 228 = -258", "Add 228 to both sides: 10x = -30", "Divide both sides by 10: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 57) = -6x - 258", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 57, \"c\": -6, \"e\": -258, \"x\": -3}", "seed": "841162082265645010", "semantic_fingerprint": "sha256:5e403f5c034a783c77ffb301c1bac6a455198f4fe4a20aed39bb575797b0ab30", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004571", "prompt": "Compute: -7 - (-611 - (-14 - (-8)))", "solution_steps": ["Subtract: -14 - (-8) = -6", "Subtract: -611 - (-6) = -605", "Subtract: -7 - (-605) = 598"], "final_answer": "598", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (-611 - (-14 - (-8)))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -611, \"c\": -14, \"d\": -8}", "seed": "15217923270754875202", "semantic_fingerprint": "sha256:b211bddd752859e1f870585b416dd071231a0b6da8f8fd83c0651273f4aabd94", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004572", "prompt": "Solve the equation -10(x - 2) - 420 = 10(x - 6) for x.", "solution_steps": ["Expand: -10x + 20 - 420 = 10(x - 6)", "Expand: -10x + 20 - 420 = 10x - 60", "Combine constants: -10x - 400 = 10x - 60", "Subtract 10x from both sides: -20x - 400 = -60", "Add 400 to both sides: -20x = 340", "Divide both sides by -20: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 2) - 420 = 10(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 2, \"c\": 10, \"d\": 6, \"f\": -420, \"x\": -17}", "seed": "15841551768964059436", "semantic_fingerprint": "sha256:c316e13aab8d3420be28d221b1ecdb094c710cd8ddda74561a3e03c83f1cb98c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004573", "prompt": "Compute: (-1 / 5 - (-57)) / (210 - (-708))", "solution_steps": ["Divide: -1 / 5 = -1/5", "Subtract: -1/5 - (-57) = 284/5", "Subtract: 210 - (-708) = 918", "Divide: (284/5) / 918 = 142/2295"], "final_answer": "142/2295", "answer_type": "rational", "kind": "expression", "math_text": "(-1 / 5 - (-57)) / (210 - (-708))", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 5, \"c\": -57, \"d\": 210, \"e\": -708}", "seed": "11982298018421749641", "semantic_fingerprint": "sha256:df873c5eb5479e3e84bafd492a4cb3fa059f7a882bbdbbea192e32d04fcbac96", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004574", "prompt": "Calculate: 69 / (701 / (21 * 76))", "solution_steps": ["Multiply: 21 * 76 = 1596", "Divide: 701 / 1596 = 701/1596", "Divide: 69 / (701/1596) = 110124/701"], "final_answer": "110124/701", "answer_type": "rational", "kind": "expression", "math_text": "69 / (701 / (21 * 76))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 701, \"c\": 21, \"d\": 76}", "seed": "15591146874603461333", "semantic_fingerprint": "sha256:9b9cbbd542518ebbccd74cc5a9fd19dea28182d2bcdc55649f2ce4258c0e83db", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004575", "prompt": "Find x: 4(x - 1) - 9 = -11(x - 49) - 1", "solution_steps": ["Expand: 4x - 4 - 9 = -11(x - 49) - 1", "Expand: 4x - 4 - 9 = -11x + 539 - 1", "Combine constants: 4x - 13 = -11x + 539 - 1", "Combine constants: 4x - 13 = -11x + 538", "Add 11x to both sides: 15x - 13 = 538", "Add 13 to both sides: 15x = 551", "Divide both sides by 15: x = 551/15"], "final_answer": "551/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 1) - 9 = -11(x - 49) - 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 9, \"d\": -11, \"e\": 49, \"f\": 1}", "seed": "3528789112939367513", "semantic_fingerprint": "sha256:65ac0d24096144fbe67e8fdc64e0c99867873e3e5a473ab13d5010e827b21dc9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004576", "prompt": "Compute: (30 + 4 + 558) * 52 / (-92)", "solution_steps": ["Add: 30 + 4 = 34", "Add: 34 + 558 = 592", "Multiply: 592 * 52 = 30784", "Divide: 30784 / (-92) = -7696/23"], "final_answer": "-7696/23", "answer_type": "rational", "kind": "expression", "math_text": "(30 + 4 + 558) * 52 / (-92)", "variable": null, "family": "expression_4op", "shape": "(/ (* (+ (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 4, \"c\": 558, \"d\": 52, \"e\": -92}", "seed": "1224021495997555749", "semantic_fingerprint": "sha256:7b72c4dad9908ca4a4ed666124de38ac224dbc641cb0a123f429c69c56589cdb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004577", "prompt": "Compute: (-77 + (-69 + (-4 - 9))) * 87", "solution_steps": ["Subtract: -4 - 9 = -13", "Add: -69 + (-13) = -82", "Add: -77 + (-82) = -159", "Multiply: -159 * 87 = -13833"], "final_answer": "-13833", "answer_type": "integer", "kind": "expression", "math_text": "(-77 + (-69 + (-4 - 9))) * 87", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": -69, \"c\": -4, \"d\": 9, \"e\": 87}", "seed": "3551394533595662801", "semantic_fingerprint": "sha256:847b9c51517c47ea1a300f6c4810e0f2f2d3335b5566d6f1910cbc61cb7df0ab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004578", "prompt": "Calculate: -82 - (0 - (-58)) + (-8) / (-6) / 168", "solution_steps": ["Subtract: 0 - (-58) = 58", "Subtract: -82 - 58 = -140", "Divide: -8 / (-6) = 4/3", "Divide: (4/3) / 168 = 1/126", "Add: -140 + 1/126 = -17639/126"], "final_answer": "-17639/126", "answer_type": "rational", "kind": "expression", "math_text": "-82 - (0 - (-58)) + (-8) / (-6) / 168", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- n n)) (/ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": 0, \"c\": -58, \"d\": -8, \"e\": -6, \"f\": 168}", "seed": "3603392194053312256", "semantic_fingerprint": "sha256:307dee9bfdf4f944d4178570f7747087c4886e090f437652ecf88d5736629fcd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004579", "prompt": "What value of x satisfies 6(x + 987) - 59 = x - 6?", "solution_steps": ["Expand: 6x + 5922 - 59 = x - 6", "Combine constants: 6x + 5863 = x - 6", "Subtract x from both sides: 5x + 5863 = -6", "Subtract 5863 from both sides: 5x = -5869", "Divide both sides by 5: x = -5869/5"], "final_answer": "-5869/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 987) - 59 = x - 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 987, \"c\": 59, \"d\": 6}", "seed": "2297145099515164779", "semantic_fingerprint": "sha256:7ab9db1105de4dfd38c2a43c378096b9a96abdc174290cf8eba17d29f7958c11", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004580", "prompt": "What value of x satisfies 8(x - 8) + 99 = 10x + 577?", "solution_steps": ["Expand: 8x - 64 + 99 = 10x + 577", "Combine constants: 8x + 35 = 10x + 577", "Subtract 10x from both sides: -2x + 35 = 577", "Subtract 35 from both sides: -2x = 542", "Divide both sides by -2: x = -271"], "final_answer": "-271", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 8) + 99 = 10x + 577", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": 99, \"d\": 10, \"e\": 577}", "seed": "14093116124621799016", "semantic_fingerprint": "sha256:ba42d06c759a15ebe3270cc490ffbbbf10b2f0a301031625cd17f0b7f75cadf4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004581", "prompt": "Evaluate: (41 + 89) / (2 / 2)", "solution_steps": ["Add: 41 + 89 = 130", "Divide: 2 / 2 = 1", "Divide: 130 / 1 = 130"], "final_answer": "130", "answer_type": "integer", "kind": "expression", "math_text": "(41 + 89) / (2 / 2)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 89, \"c\": 2, \"d\": 2}", "seed": "15139661006051869897", "semantic_fingerprint": "sha256:028e312319de5feaaceb492e2803cbfd8eed03550f1d972b90dfb45a19dc0a2f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004582", "prompt": "Calculate: 23 + 660 - (2 + (-4))", "solution_steps": ["Add: 23 + 660 = 683", "Add: 2 + (-4) = -2", "Subtract: 683 - (-2) = 685"], "final_answer": "685", "answer_type": "integer", "kind": "expression", "math_text": "23 + 660 - (2 + (-4))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 660, \"c\": 2, \"d\": -4}", "seed": "7990087805959229959", "semantic_fingerprint": "sha256:558635c072f248035162730a3a5a7543b70bf71a06b8bbde8dfb6b16b94d8373", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004583", "prompt": "Calculate: (38 - (-591) / 2) / 119", "solution_steps": ["Divide: -591 / 2 = -591/2", "Subtract: 38 - (-591/2) = 667/2", "Divide: (667/2) / 119 = 667/238"], "final_answer": "667/238", "answer_type": "rational", "kind": "expression", "math_text": "(38 - (-591) / 2) / 119", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": -591, \"c\": 2, \"d\": 119}", "seed": "13314094193125255590", "semantic_fingerprint": "sha256:c6072a43182dc76e0398b8d3fbfdf8d50dd96df263cefd89674922a78509b6a9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004584", "prompt": "Evaluate: -433 - (-5 + (-62) / 421) + (-5)", "solution_steps": ["Divide: -62 / 421 = -62/421", "Add: -5 + (-62/421) = -2167/421", "Subtract: -433 - (-2167/421) = -180126/421", "Add: -180126/421 + (-5) = -182231/421"], "final_answer": "-182231/421", "answer_type": "rational", "kind": "expression", "math_text": "-433 - (-5 + (-62) / 421) + (-5)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (+ n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -433, \"b\": -5, \"c\": -62, \"d\": 421, \"e\": -5}", "seed": "12564802823175883541", "semantic_fingerprint": "sha256:95893f473d56dc077b64715fe199fbbdf32e70c16caef834ab49d5e84ca5cbfe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004585", "prompt": "Find x: 9(x - 15) = 2x - 149", "solution_steps": ["Expand: 9x - 135 = 2x - 149", "Subtract 2x from both sides: 7x - 135 = -149", "Add 135 to both sides: 7x = -14", "Divide both sides by 7: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 15) = 2x - 149", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 15, \"c\": 2, \"e\": -149, \"x\": -2}", "seed": "1767703943028907910", "semantic_fingerprint": "sha256:36a2a0c5ccdce01f771f647db779f516ecdb3ac4aa6ba53754869f7cccf10537", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004586", "prompt": "Evaluate: (-77 - 7) * (657 + (-8) * (47 * (-8)))", "solution_steps": ["Subtract: -77 - 7 = -84", "Multiply: 47 * (-8) = -376", "Multiply: -8 * (-376) = 3008", "Add: 657 + 3008 = 3665", "Multiply: -84 * 3665 = -307860"], "final_answer": "-307860", "answer_type": "integer", "kind": "expression", "math_text": "(-77 - 7) * (657 + (-8) * (47 * (-8)))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (+ n (* n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": 7, \"c\": 657, \"d\": -8, \"e\": 47, \"f\": -8}", "seed": "12401795894976008737", "semantic_fingerprint": "sha256:d0740d4a342f9dd6896f797bf86c62c1cbe0f65ff161bcf0163cfc300ef08a95", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004587", "prompt": "What is (527 - 65) / (-761 - (618 + (-7))) + 2?", "solution_steps": ["Subtract: 527 - 65 = 462", "Add: 618 + (-7) = 611", "Subtract: -761 - 611 = -1372", "Divide: 462 / (-1372) = -33/98", "Add: -33/98 + 2 = 163/98"], "final_answer": "163/98", "answer_type": "rational", "kind": "expression", "math_text": "(527 - 65) / (-761 - (618 + (-7))) + 2", "variable": null, "family": "expression_5op", "shape": "(+ (/ (- n n) (- n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 527, \"b\": 65, \"c\": -761, \"d\": 618, \"e\": -7, \"f\": 2}", "seed": "6995245542483441032", "semantic_fingerprint": "sha256:411d2f7816dc52223ac7259638bd947d4dd96a2d67f5fb26b2db3c22c76daa92", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004588", "prompt": "Evaluate: 766 - (-425 * (-4) + (-160 - (-36) - 5))", "solution_steps": ["Multiply: -425 * (-4) = 1700", "Subtract: -160 - (-36) = -124", "Subtract: -124 - 5 = -129", "Add: 1700 + (-129) = 1571", "Subtract: 766 - 1571 = -805"], "final_answer": "-805", "answer_type": "integer", "kind": "expression", "math_text": "766 - (-425 * (-4) + (-160 - (-36) - 5))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (* n n) (- (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 766, \"b\": -425, \"c\": -4, \"d\": -160, \"e\": -36, \"f\": 5}", "seed": "15370756518675950250", "semantic_fingerprint": "sha256:7eaadc6c12a433afae33f7c5f0e99782d683b7549224fdbcf59668f77ce8614d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004589", "prompt": "Calculate: (2 - (-2) / (-800)) / 13", "solution_steps": ["Divide: -2 / (-800) = 1/400", "Subtract: 2 - 1/400 = 799/400", "Divide: (799/400) / 13 = 799/5200"], "final_answer": "799/5200", "answer_type": "rational", "kind": "expression", "math_text": "(2 - (-2) / (-800)) / 13", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -2, \"c\": -800, \"d\": 13}", "seed": "4165975708756947582", "semantic_fingerprint": "sha256:c0d11e3bc416d56140753ece9fc2c01bdfb0ee2ce924ae52ad6578e7f76ee000", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004590", "prompt": "What is 186 / 97 - 2 - (-3)?", "solution_steps": ["Divide: 186 / 97 = 186/97", "Subtract: 186/97 - 2 = -8/97", "Subtract: -8/97 - (-3) = 283/97"], "final_answer": "283/97", "answer_type": "rational", "kind": "expression", "math_text": "186 / 97 - 2 - (-3)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 186, \"b\": 97, \"c\": 2, \"d\": -3}", "seed": "13219784953788455070", "semantic_fingerprint": "sha256:30f432451b51be5777287230a2c707dc673dff0a2dc88ae33dc3cb74ed33aefa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004591", "prompt": "Calculate: 5 - (-4) / (-95 * 70)", "solution_steps": ["Multiply: -95 * 70 = -6650", "Divide: -4 / (-6650) = 2/3325", "Subtract: 5 - 2/3325 = 16623/3325"], "final_answer": "16623/3325", "answer_type": "rational", "kind": "expression", "math_text": "5 - (-4) / (-95 * 70)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -4, \"c\": -95, \"d\": 70}", "seed": "15684498763381169893", "semantic_fingerprint": "sha256:f95c8af05b77efe5d0175443e6cc53c1835ea8a61d2b12d499c192df32477b6b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004592", "prompt": "What is -422 * 17 - (-6) + (28 + (-91 + (-7)))?", "solution_steps": ["Multiply: -422 * 17 = -7174", "Subtract: -7174 - (-6) = -7168", "Add: -91 + (-7) = -98", "Add: 28 + (-98) = -70", "Add: -7168 + (-70) = -7238"], "final_answer": "-7238", "answer_type": "integer", "kind": "expression", "math_text": "-422 * 17 - (-6) + (28 + (-91 + (-7)))", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -422, \"b\": 17, \"c\": -6, \"d\": 28, \"e\": -91, \"f\": -7}", "seed": "17124518776174606318", "semantic_fingerprint": "sha256:8e6c1ede05873793202fb7d579f7b33b47422afc5548f14c24877a6c86fc2ae7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004593", "prompt": "Evaluate: 51 * 869 / (3 + 95)", "solution_steps": ["Multiply: 51 * 869 = 44319", "Add: 3 + 95 = 98", "Divide: 44319 / 98 = 44319/98"], "final_answer": "44319/98", "answer_type": "rational", "kind": "expression", "math_text": "51 * 869 / (3 + 95)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 869, \"c\": 3, \"d\": 95}", "seed": "2155024614434793363", "semantic_fingerprint": "sha256:164ae94256244e84e157896548d4f19cc0493ea05d948cb629fae929e4a6b999", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004594", "prompt": "Compute: -6 * (60 + (83 + (-46 + 31)))", "solution_steps": ["Add: -46 + 31 = -15", "Add: 83 + (-15) = 68", "Add: 60 + 68 = 128", "Multiply: -6 * 128 = -768"], "final_answer": "-768", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (60 + (83 + (-46 + 31)))", "variable": null, "family": "expression_4op", "shape": "(* n (+ n (+ n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 60, \"c\": 83, \"d\": -46, \"e\": 31}", "seed": "4240713750756606818", "semantic_fingerprint": "sha256:c767237c2341db08e5225eb09b90679f3ff8b7f074a59853a3ed41db7f62d178", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004595", "prompt": "What value of x satisfies 7(x - 164) - 16 = 12(x - 83) - 228?", "solution_steps": ["Expand: 7x - 1148 - 16 = 12(x - 83) - 228", "Expand: 7x - 1148 - 16 = 12x - 996 - 228", "Combine constants: 7x - 1164 = 12x - 996 - 228", "Combine constants: 7x - 1164 = 12x - 1224", "Subtract 12x from both sides: -5x - 1164 = -1224", "Add 1164 to both sides: -5x = -60", "Divide both sides by -5: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 164) - 16 = 12(x - 83) - 228", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 164, \"c\": 16, \"d\": 12, \"e\": 83, \"g\": -228, \"x\": 12}", "seed": "11289224910268425372", "semantic_fingerprint": "sha256:ccd36faa29e09676ea8708fee5f6feb694792234e6416fc714bda9ea5ef4ea12", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004596", "prompt": "Evaluate: 97 - 90 + (97 / (-404) - (-9))", "solution_steps": ["Subtract: 97 - 90 = 7", "Divide: 97 / (-404) = -97/404", "Subtract: -97/404 - (-9) = 3539/404", "Add: 7 + 3539/404 = 6367/404"], "final_answer": "6367/404", "answer_type": "rational", "kind": "expression", "math_text": "97 - 90 + (97 / (-404) - (-9))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": 90, \"c\": 97, \"d\": -404, \"e\": -9}", "seed": "3439238782304521508", "semantic_fingerprint": "sha256:88afe6f5a1af5bfef2e811a6bad338f06712409b42d35de46251e5aca5cb1347", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004597", "prompt": "What is -95 - (-64) + (3 - 44) - (-8)?", "solution_steps": ["Subtract: -95 - (-64) = -31", "Subtract: 3 - 44 = -41", "Add: -31 + (-41) = -72", "Subtract: -72 - (-8) = -64"], "final_answer": "-64", "answer_type": "integer", "kind": "expression", "math_text": "-95 - (-64) + (3 - 44) - (-8)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": -64, \"c\": 3, \"d\": 44, \"e\": -8}", "seed": "9855122474881560525", "semantic_fingerprint": "sha256:95daea88c8e036810a3cee1284e8e68ff4efe06c302f502d06504a9e5abac3cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004598", "prompt": "Calculate: 1 * (99 * (-999 - 43))", "solution_steps": ["Subtract: -999 - 43 = -1042", "Multiply: 99 * (-1042) = -103158", "Multiply: 1 * (-103158) = -103158"], "final_answer": "-103158", "answer_type": "integer", "kind": "expression", "math_text": "1 * (99 * (-999 - 43))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 99, \"c\": -999, \"d\": 43}", "seed": "1960468040535544553", "semantic_fingerprint": "sha256:70f76cb61f7e431317ef602915c1cc99ca76c0dcb70909cbfb33f47fe75a815b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004599", "prompt": "Evaluate: 36 + (1 + (-1)) - 40", "solution_steps": ["Add: 1 + (-1) = 0", "Add: 36 + 0 = 36", "Subtract: 36 - 40 = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "36 + (1 + (-1)) - 40", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": 1, \"c\": -1, \"d\": 40}", "seed": "18183224950954610491", "semantic_fingerprint": "sha256:1bb2a57e148be4af9b258a9ba4a091d66f5ee08ad4a9b4167ef5b28289b57c99", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004600", "prompt": "Compute: (8 - 53) / (697 - 19 * 8)", "solution_steps": ["Subtract: 8 - 53 = -45", "Multiply: 19 * 8 = 152", "Subtract: 697 - 152 = 545", "Divide: -45 / 545 = -9/109"], "final_answer": "-9/109", "answer_type": "rational", "kind": "expression", "math_text": "(8 - 53) / (697 - 19 * 8)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 53, \"c\": 697, \"d\": 19, \"e\": 8}", "seed": "10822814635323720522", "semantic_fingerprint": "sha256:3c8681b11e8d5d3f5705a9c1c7853a0a4b9963ba9fad4ee0fa3a4b7e21433380", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004601", "prompt": "Calculate: (69 + (-200)) / (40 - 47) + 745", "solution_steps": ["Add: 69 + (-200) = -131", "Subtract: 40 - 47 = -7", "Divide: -131 / (-7) = 131/7", "Add: 131/7 + 745 = 5346/7"], "final_answer": "5346/7", "answer_type": "rational", "kind": "expression", "math_text": "(69 + (-200)) / (40 - 47) + 745", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": -200, \"c\": 40, \"d\": 47, \"e\": 745}", "seed": "14541710151059543972", "semantic_fingerprint": "sha256:7ee50687aca7d21853715c157b11dadee47aa18814b1448c35dc03865312475e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004602", "prompt": "Evaluate: (-5 - (-463) + (-458)) * (-3)", "solution_steps": ["Subtract: -5 - (-463) = 458", "Add: 458 + (-458) = 0", "Multiply: 0 * (-3) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-5 - (-463) + (-458)) * (-3)", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -463, \"c\": -458, \"d\": -3}", "seed": "13123050455147590802", "semantic_fingerprint": "sha256:f9d6cc90bba7a9862a5d68b661f9512c7c7e20ec2a225a88f33bf3a171ebc3ba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004603", "prompt": "What is -147 - 68 / (-55 / (-7))?", "solution_steps": ["Divide: -55 / (-7) = 55/7", "Divide: 68 / (55/7) = 476/55", "Subtract: -147 - 476/55 = -8561/55"], "final_answer": "-8561/55", "answer_type": "rational", "kind": "expression", "math_text": "-147 - 68 / (-55 / (-7))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -147, \"b\": 68, \"c\": -55, \"d\": -7}", "seed": "18005639773329103469", "semantic_fingerprint": "sha256:46eb067ed49a716a131d218f90605af67a08451e18b82ce47ad72e8884e8c744", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004604", "prompt": "Find x: x - 18 = 5(x - 3) + 4", "solution_steps": ["Expand: x - 18 = 5x - 15 + 4", "Combine constants: x - 18 = 5x - 11", "Subtract 5x from both sides: -4x - 18 = -11", "Add 18 to both sides: -4x = 7", "Divide both sides by -4: x = -7/4"], "final_answer": "-7/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 18 = 5(x - 3) + 4", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 5, \"c\": 3, \"d\": 4}", "seed": "6086013088457747433", "semantic_fingerprint": "sha256:674342f5559c7a94b0b9be79d9bbaa7887f96831eec68fb2293aa3e7fbf2fbdf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004605", "prompt": "What is 212 / (-9 * (-55)) - (-94)?", "solution_steps": ["Multiply: -9 * (-55) = 495", "Divide: 212 / 495 = 212/495", "Subtract: 212/495 - (-94) = 46742/495"], "final_answer": "46742/495", "answer_type": "rational", "kind": "expression", "math_text": "212 / (-9 * (-55)) - (-94)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 212, \"b\": -9, \"c\": -55, \"d\": -94}", "seed": "12857050829942956506", "semantic_fingerprint": "sha256:a08fcab136d62ab9ece6185f7db517cb7e533a4735e05267f2adf2acae2e9806", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004606", "prompt": "Find x: -6(x - 1) - 1 = 2(x - 41) - 9", "solution_steps": ["Expand: -6x + 6 - 1 = 2(x - 41) - 9", "Expand: -6x + 6 - 1 = 2x - 82 - 9", "Combine constants: -6x + 5 = 2x - 82 - 9", "Combine constants: -6x + 5 = 2x - 91", "Subtract 2x from both sides: -8x + 5 = -91", "Subtract 5 from both sides: -8x = -96", "Divide both sides by -8: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 1) - 1 = 2(x - 41) - 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 1, \"c\": 1, \"d\": 2, \"e\": 41, \"g\": -9, \"x\": 12}", "seed": "458523752838507084", "semantic_fingerprint": "sha256:b4d68762f7d66c36a1f695af92f545c0913371be5c25041808d57b6d7f57e856", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004607", "prompt": "What is (-3 - (-8)) * (308 / 79)?", "solution_steps": ["Subtract: -3 - (-8) = 5", "Divide: 308 / 79 = 308/79", "Multiply: 5 * (308/79) = 1540/79"], "final_answer": "1540/79", "answer_type": "rational", "kind": "expression", "math_text": "(-3 - (-8)) * (308 / 79)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -8, \"c\": 308, \"d\": 79}", "seed": "1284359376683290343", "semantic_fingerprint": "sha256:11dbb8d4dfbed91fcb617a5939008a4125f98e6135f5cc8c5a9a2d0a5dcb394f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004608", "prompt": "Solve for x: -6(x - 745) = -8x - 7", "solution_steps": ["Expand: -6x + 4470 = -8x - 7", "Add 8x to both sides: 2x + 4470 = -7", "Subtract 4470 from both sides: 2x = -4477", "Divide both sides by 2: x = -4477/2"], "final_answer": "-4477/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 745) = -8x - 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 745, \"c\": -8, \"d\": 7}", "seed": "8150707650938930210", "semantic_fingerprint": "sha256:601564d96937b88604484a8f522131b15ca43eb0267c960c57ae07bb4e3d6335", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004609", "prompt": "Evaluate: (43 - (8 - (-93))) / 1 / (-2)", "solution_steps": ["Subtract: 8 - (-93) = 101", "Subtract: 43 - 101 = -58", "Divide: -58 / 1 = -58", "Divide: -58 / (-2) = 29"], "final_answer": "29", "answer_type": "integer", "kind": "expression", "math_text": "(43 - (8 - (-93))) / 1 / (-2)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (- n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": 8, \"c\": -93, \"d\": 1, \"e\": -2}", "seed": "3445218666329132313", "semantic_fingerprint": "sha256:f3b632ff49bc6420b544256004ef5e9a58ab4dd45350d613aae87fcf2b7cee48", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004610", "prompt": "Calculate: (3 - (-9)) / (-32 * 6)", "solution_steps": ["Subtract: 3 - (-9) = 12", "Multiply: -32 * 6 = -192", "Divide: 12 / (-192) = -1/16"], "final_answer": "-1/16", "answer_type": "rational", "kind": "expression", "math_text": "(3 - (-9)) / (-32 * 6)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -9, \"c\": -32, \"d\": 6}", "seed": "3917152843919952187", "semantic_fingerprint": "sha256:bdf09a3135ca711ee74afce725e9770585529549cdfe330da295142d080732fe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004611", "prompt": "What value of x satisfies -9(x - 7) + 55 = 2x + 272?", "solution_steps": ["Expand: -9x + 63 + 55 = 2x + 272", "Combine constants: -9x + 118 = 2x + 272", "Subtract 2x from both sides: -11x + 118 = 272", "Subtract 118 from both sides: -11x = 154", "Divide both sides by -11: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 7) + 55 = 2x + 272", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 7, \"c\": 55, \"d\": 2, \"f\": 272, \"x\": -14}", "seed": "14955700269863584172", "semantic_fingerprint": "sha256:5c4ca0ce11939ebc63f06c2f75eae792597d947e7e16f27555bd107e529b65ee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004612", "prompt": "Compute: 848 / 1 * 0 - (-989) / (-7)", "solution_steps": ["Divide: 848 / 1 = 848", "Multiply: 848 * 0 = 0", "Divide: -989 / (-7) = 989/7", "Subtract: 0 - 989/7 = -989/7"], "final_answer": "-989/7", "answer_type": "rational", "kind": "expression", "math_text": "848 / 1 * 0 - (-989) / (-7)", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 848, \"b\": 1, \"c\": 0, \"d\": -989, \"e\": -7}", "seed": "1208705924295217943", "semantic_fingerprint": "sha256:ea88d53763e4838c643a4fb1cf41607fee8ea6f50d16ae994e1e4d28f70fceaf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004613", "prompt": "What is (95 - (-2 + (-20))) / (-6 - 0)?", "solution_steps": ["Add: -2 + (-20) = -22", "Subtract: 95 - (-22) = 117", "Subtract: -6 - 0 = -6", "Divide: 117 / (-6) = -39/2"], "final_answer": "-39/2", "answer_type": "rational", "kind": "expression", "math_text": "(95 - (-2 + (-20))) / (-6 - 0)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -2, \"c\": -20, \"d\": -6, \"e\": 0}", "seed": "7874465102016375307", "semantic_fingerprint": "sha256:b7cb4f5dbd5bfec526e42bd3fb4abe4588387e71825d6a31e3cc10f18a6f6616", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004614", "prompt": "Calculate: 252 * 27 / 2 / 214", "solution_steps": ["Multiply: 252 * 27 = 6804", "Divide: 6804 / 2 = 3402", "Divide: 3402 / 214 = 1701/107"], "final_answer": "1701/107", "answer_type": "rational", "kind": "expression", "math_text": "252 * 27 / 2 / 214", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 252, \"b\": 27, \"c\": 2, \"d\": 214}", "seed": "10689770625149402842", "semantic_fingerprint": "sha256:d4cbd1cc65df3b2cbbb94878d4fb6c9a3cd3a05b037dc90f34271e8b9ea2cf7f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004615", "prompt": "Compute: (0 + (-596)) / (22 / (-7))", "solution_steps": ["Add: 0 + (-596) = -596", "Divide: 22 / (-7) = -22/7", "Divide: -596 / (-22/7) = 2086/11"], "final_answer": "2086/11", "answer_type": "rational", "kind": "expression", "math_text": "(0 + (-596)) / (22 / (-7))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -596, \"c\": 22, \"d\": -7}", "seed": "17033721139351974658", "semantic_fingerprint": "sha256:e6b83b85a64d7d6a01eca7e551b66b7673d211183703ce75f3a8b04e586595bd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004616", "prompt": "What is -39 - (697 + 55 - (-33) + (-682) * 9)?", "solution_steps": ["Add: 697 + 55 = 752", "Subtract: 752 - (-33) = 785", "Multiply: -682 * 9 = -6138", "Add: 785 + (-6138) = -5353", "Subtract: -39 - (-5353) = 5314"], "final_answer": "5314", "answer_type": "integer", "kind": "expression", "math_text": "-39 - (697 + 55 - (-33) + (-682) * 9)", "variable": null, "family": "expression_5op", "shape": "(- n (+ (- (+ n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": 697, \"c\": 55, \"d\": -33, \"e\": -682, \"f\": 9}", "seed": "15082057882623540159", "semantic_fingerprint": "sha256:aff220c6b426d611fb67f408b2502c543741b3b525f54f5808799921a67fa597", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004617", "prompt": "Compute: (-5 / 68 - 5) * 33 + (-44) - 963", "solution_steps": ["Divide: -5 / 68 = -5/68", "Subtract: -5/68 - 5 = -345/68", "Multiply: (-345/68) * 33 = -11385/68", "Add: -11385/68 + (-44) = -14377/68", "Subtract: -14377/68 - 963 = -79861/68"], "final_answer": "-79861/68", "answer_type": "rational", "kind": "expression", "math_text": "(-5 / 68 - 5) * 33 + (-44) - 963", "variable": null, "family": "expression_5op", "shape": "(- (+ (* (- (/ n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 68, \"c\": 5, \"d\": 33, \"e\": -44, \"f\": 963}", "seed": "16079192305920255090", "semantic_fingerprint": "sha256:c7843cc353d131fe7b18e5a81fafa4120fce162276b9b687d57b37e30c2f3c89", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004618", "prompt": "Solve the equation -12(x - 72) - 828 = 8(x - 8) for x.", "solution_steps": ["Expand: -12x + 864 - 828 = 8(x - 8)", "Expand: -12x + 864 - 828 = 8x - 64", "Combine constants: -12x + 36 = 8x - 64", "Subtract 8x from both sides: -20x + 36 = -64", "Subtract 36 from both sides: -20x = -100", "Divide both sides by -20: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 72) - 828 = 8(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 72, \"c\": 8, \"d\": 8, \"f\": -828, \"x\": 5}", "seed": "8809853578290052978", "semantic_fingerprint": "sha256:74a0ef9bc441cbe8b8ec3e6b17274ba794ca58ad1005504be36e74e1344a11a9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004619", "prompt": "Find x: 7(x - 55) = 3x - 3", "solution_steps": ["Expand: 7x - 385 = 3x - 3", "Subtract 3x from both sides: 4x - 385 = -3", "Add 385 to both sides: 4x = 382", "Divide both sides by 4: x = 191/2"], "final_answer": "191/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 55) = 3x - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 55, \"c\": 3, \"d\": 3}", "seed": "2532352610075234059", "semantic_fingerprint": "sha256:4d7414875df74c9c59d1a00a0be4dad9d2b98aa40407abde8d7eebdf80a5d69d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004620", "prompt": "Solve the equation 12(x - 7) + 274 = -6x + 532 for x.", "solution_steps": ["Expand: 12x - 84 + 274 = -6x + 532", "Combine constants: 12x + 190 = -6x + 532", "Add 6x to both sides: 18x + 190 = 532", "Subtract 190 from both sides: 18x = 342", "Divide both sides by 18: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 7) + 274 = -6x + 532", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"c\": 274, \"d\": -6, \"f\": 532, \"x\": 19}", "seed": "17188886900235190983", "semantic_fingerprint": "sha256:b9f903bccdfb5fa749a70ae8904ba977b97965e2187f16c7bc66893438d15f9d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004621", "prompt": "Find x: 11(x - 67) + 53 = -6(x + 5) - 824", "solution_steps": ["Expand: 11x - 737 + 53 = -6(x + 5) - 824", "Expand: 11x - 737 + 53 = -6x - 30 - 824", "Combine constants: 11x - 684 = -6x - 30 - 824", "Combine constants: 11x - 684 = -6x - 854", "Add 6x to both sides: 17x - 684 = -854", "Add 684 to both sides: 17x = -170", "Divide both sides by 17: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 67) + 53 = -6(x + 5) - 824", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 67, \"c\": 53, \"d\": -6, \"e\": 5, \"g\": -824, \"x\": -10}", "seed": "1259876117247390579", "semantic_fingerprint": "sha256:a465c0d1e8fcf4db29ccb1f8f74c4afcbe87570e451f1157864fc4d56bd9cbb7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004622", "prompt": "What value of x satisfies 10(x - 57) + 10 = 11(x - 33)?", "solution_steps": ["Expand: 10x - 570 + 10 = 11(x - 33)", "Expand: 10x - 570 + 10 = 11x - 363", "Combine constants: 10x - 560 = 11x - 363", "Subtract 11x from both sides: -x - 560 = -363", "Add 560 to both sides: -x = 197", "Divide both sides by -1: x = -197"], "final_answer": "-197", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 57) + 10 = 11(x - 33)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 57, \"c\": 10, \"d\": 11, \"e\": 33}", "seed": "14967123032429857301", "semantic_fingerprint": "sha256:3805992f6839b6c3ccfefa4223b12ac5ca9725ee5eeb31d2bf517fdbe043370d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004623", "prompt": "What is 9 * (0 * (69 - 17))?", "solution_steps": ["Subtract: 69 - 17 = 52", "Multiply: 0 * 52 = 0", "Multiply: 9 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "9 * (0 * (69 - 17))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 0, \"c\": 69, \"d\": 17}", "seed": "2341933687227939453", "semantic_fingerprint": "sha256:e524805eb709998e0f1edd8fee09a1dc29087e5a355b1826eda4a9c3985e048e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004624", "prompt": "Solve for x: 7(x - 8) - 47 = 5(x - 21)", "solution_steps": ["Expand: 7x - 56 - 47 = 5(x - 21)", "Expand: 7x - 56 - 47 = 5x - 105", "Combine constants: 7x - 103 = 5x - 105", "Subtract 5x from both sides: 2x - 103 = -105", "Add 103 to both sides: 2x = -2", "Divide both sides by 2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 8) - 47 = 5(x - 21)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 5, \"d\": 21, \"f\": -47, \"x\": -1}", "seed": "12530717246490608822", "semantic_fingerprint": "sha256:4b207cdd30b08976cb2ea4031fc4f7d0504bfb18b05a2271397a13684d19ec12", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004625", "prompt": "Find x: x - 788 = 12(x - 7) + 43", "solution_steps": ["Expand: x - 788 = 12x - 84 + 43", "Combine constants: x - 788 = 12x - 41", "Subtract 12x from both sides: -11x - 788 = -41", "Add 788 to both sides: -11x = 747", "Divide both sides by -11: x = -747/11"], "final_answer": "-747/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 788 = 12(x - 7) + 43", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 788, \"b\": 12, \"c\": 7, \"d\": 43}", "seed": "18312674047101435180", "semantic_fingerprint": "sha256:3f61ba0d7f715dd11e594c3b2603432df69effcb93ded1c3aa83e58941fb8422", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004626", "prompt": "Evaluate: -504 / (-310 - 439 - (-297))", "solution_steps": ["Subtract: -310 - 439 = -749", "Subtract: -749 - (-297) = -452", "Divide: -504 / (-452) = 126/113"], "final_answer": "126/113", "answer_type": "rational", "kind": "expression", "math_text": "-504 / (-310 - 439 - (-297))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -504, \"b\": -310, \"c\": 439, \"d\": -297}", "seed": "13087737512681277261", "semantic_fingerprint": "sha256:1cf453a5cb838d8e08ac78163e04256ad8e9fc1805c57bf7ad1f417a8f8d6fd4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004627", "prompt": "What value of x satisfies 9(x - 14) - 29 = -11(x - 72) - 927?", "solution_steps": ["Expand: 9x - 126 - 29 = -11(x - 72) - 927", "Expand: 9x - 126 - 29 = -11x + 792 - 927", "Combine constants: 9x - 155 = -11x + 792 - 927", "Combine constants: 9x - 155 = -11x - 135", "Add 11x to both sides: 20x - 155 = -135", "Add 155 to both sides: 20x = 20", "Divide both sides by 20: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 14) - 29 = -11(x - 72) - 927", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 14, \"c\": 29, \"d\": -11, \"e\": 72, \"g\": -927, \"x\": 1}", "seed": "9581376642206610130", "semantic_fingerprint": "sha256:cad030a79c9d14a25ca8d649a9815b0542deefdc8aa6d3f64ee9cfbbbdb54611", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004628", "prompt": "Calculate: (50 + (-71)) * (-97 * 66 - 7)", "solution_steps": ["Add: 50 + (-71) = -21", "Multiply: -97 * 66 = -6402", "Subtract: -6402 - 7 = -6409", "Multiply: -21 * (-6409) = 134589"], "final_answer": "134589", "answer_type": "integer", "kind": "expression", "math_text": "(50 + (-71)) * (-97 * 66 - 7)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -71, \"c\": -97, \"d\": 66, \"e\": 7}", "seed": "3547740615622349878", "semantic_fingerprint": "sha256:9fa43e9170d2d7a98edb53fbe7b38a06cfd71518cd006ed317b9b0cd41ac6e1c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004629", "prompt": "Evaluate: -8 + (-5) * (-59 * (711 - 9)) + (-6)", "solution_steps": ["Subtract: 711 - 9 = 702", "Multiply: -59 * 702 = -41418", "Multiply: -5 * (-41418) = 207090", "Add: -8 + 207090 = 207082", "Add: 207082 + (-6) = 207076"], "final_answer": "207076", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (-5) * (-59 * (711 - 9)) + (-6)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (* n (* n (- n n)))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -5, \"c\": -59, \"d\": 711, \"e\": 9, \"f\": -6}", "seed": "1599773202542490405", "semantic_fingerprint": "sha256:4897e738fe741af56560188e9d94dca2689714d7412404fcf497ab82ba57dcd5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004630", "prompt": "Evaluate: 86 / 444 + (-6) / (-21)", "solution_steps": ["Divide: 86 / 444 = 43/222", "Divide: -6 / (-21) = 2/7", "Add: 43/222 + 2/7 = 745/1554"], "final_answer": "745/1554", "answer_type": "rational", "kind": "expression", "math_text": "86 / 444 + (-6) / (-21)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 444, \"c\": -6, \"d\": -21}", "seed": "3277454173764282454", "semantic_fingerprint": "sha256:5d6fdc91d8574aac7c6161a64531edad4e858f26cef25933d7eff7d67ac74b97", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004631", "prompt": "Evaluate: (-6 - (-97)) * (78 * 3)", "solution_steps": ["Subtract: -6 - (-97) = 91", "Multiply: 78 * 3 = 234", "Multiply: 91 * 234 = 21294"], "final_answer": "21294", "answer_type": "integer", "kind": "expression", "math_text": "(-6 - (-97)) * (78 * 3)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -97, \"c\": 78, \"d\": 3}", "seed": "14521483313696779913", "semantic_fingerprint": "sha256:500fc41718b146f29687f907028603df2e0576c97945d2f7df4e38323ffeed02", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004632", "prompt": "Solve for x: x - 8 = 8(x - 4) + 24", "solution_steps": ["Expand: x - 8 = 8x - 32 + 24", "Combine constants: x - 8 = 8x - 8", "Subtract 8x from both sides: -7x - 8 = -8", "Add 8 to both sides: -7x = 0", "Divide both sides by -7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8 = 8(x - 4) + 24", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": 4, \"e\": 24, \"x\": 0}", "seed": "7729137603566025278", "semantic_fingerprint": "sha256:0c47f11c2ed12d1a9b54f3c6f9a4065ca96c133cf53a6e6d586db063511756a5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004633", "prompt": "What is -1 * (-367) + 3 * 9 + 8 / (-93)?", "solution_steps": ["Multiply: -1 * (-367) = 367", "Multiply: 3 * 9 = 27", "Add: 367 + 27 = 394", "Divide: 8 / (-93) = -8/93", "Add: 394 + (-8/93) = 36634/93"], "final_answer": "36634/93", "answer_type": "rational", "kind": "expression", "math_text": "-1 * (-367) + 3 * 9 + 8 / (-93)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* n n) (* n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -367, \"c\": 3, \"d\": 9, \"e\": 8, \"f\": -93}", "seed": "462184894406007478", "semantic_fingerprint": "sha256:67011047d2262b10c650bc6dbf0eb8cc8528e7fe2ebfb34598c455a8b9b16c89", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004634", "prompt": "Solve the equation 10(x - 8) - 66 = 2(x - 5) for x.", "solution_steps": ["Expand: 10x - 80 - 66 = 2(x - 5)", "Expand: 10x - 80 - 66 = 2x - 10", "Combine constants: 10x - 146 = 2x - 10", "Subtract 2x from both sides: 8x - 146 = -10", "Add 146 to both sides: 8x = 136", "Divide both sides by 8: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 8) - 66 = 2(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"c\": 2, \"d\": 5, \"f\": -66, \"x\": 17}", "seed": "6928206047875972196", "semantic_fingerprint": "sha256:787ce9f7ee9741bbdc26638063fad91d21210a049d25c0a213c5d49d71774002", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004635", "prompt": "What value of x satisfies 5(x - 41) = 6x - 190?", "solution_steps": ["Expand: 5x - 205 = 6x - 190", "Subtract 6x from both sides: -x - 205 = -190", "Add 205 to both sides: -x = 15", "Divide both sides by -1: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 41) = 6x - 190", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 41, \"c\": 6, \"e\": -190, \"x\": -15}", "seed": "1938491306181227572", "semantic_fingerprint": "sha256:a1d1bd0f1583089ab5ccce0ec1a011ab2c288f9fe8f74e45d88662b72f333224", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004636", "prompt": "What value of x satisfies -3(x - 32) - 965 = 12(x - 23) - 413?", "solution_steps": ["Expand: -3x + 96 - 965 = 12(x - 23) - 413", "Expand: -3x + 96 - 965 = 12x - 276 - 413", "Combine constants: -3x - 869 = 12x - 276 - 413", "Combine constants: -3x - 869 = 12x - 689", "Subtract 12x from both sides: -15x - 869 = -689", "Add 869 to both sides: -15x = 180", "Divide both sides by -15: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 32) - 965 = 12(x - 23) - 413", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 32, \"c\": 965, \"d\": 12, \"e\": 23, \"g\": -413, \"x\": -12}", "seed": "7202073710075704041", "semantic_fingerprint": "sha256:c4b4307c837c35b1dc9f737f8725dddcaea325a7ebe9905fa0dda36f40503a84", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004637", "prompt": "Calculate: -65 * (9 - 408 + 94)", "solution_steps": ["Subtract: 9 - 408 = -399", "Add: -399 + 94 = -305", "Multiply: -65 * (-305) = 19825"], "final_answer": "19825", "answer_type": "integer", "kind": "expression", "math_text": "-65 * (9 - 408 + 94)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": 9, \"c\": 408, \"d\": 94}", "seed": "14628697673117491442", "semantic_fingerprint": "sha256:fa7a478d1a884b24ee30f1e45eb8c499d706bd0b21d0c2884a092a0693cef4c7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004638", "prompt": "Solve the equation 8(x - 1) + 292 = -2(x - 132) for x.", "solution_steps": ["Expand: 8x - 8 + 292 = -2(x - 132)", "Expand: 8x - 8 + 292 = -2x + 264", "Combine constants: 8x + 284 = -2x + 264", "Add 2x to both sides: 10x + 284 = 264", "Subtract 284 from both sides: 10x = -20", "Divide both sides by 10: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 1) + 292 = -2(x - 132)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": -2, \"d\": 132, \"f\": 292, \"x\": -2}", "seed": "8212601799086136271", "semantic_fingerprint": "sha256:95587c77964c0ca5db73e65573f386a58cd209fc798e80a1d26b4df11b516b20", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004639", "prompt": "Solve for x: x - 12 = 4(x - 2) + 494", "solution_steps": ["Expand: x - 12 = 4x - 8 + 494", "Combine constants: x - 12 = 4x + 486", "Subtract 4x from both sides: -3x - 12 = 486", "Add 12 to both sides: -3x = 498", "Divide both sides by -3: x = -166"], "final_answer": "-166", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 12 = 4(x - 2) + 494", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": 2, \"d\": 494}", "seed": "10569318455162784740", "semantic_fingerprint": "sha256:fc7cccf9499037ed45b4737b7cc1d96d852bc3136396c473e7f5c3681fbdefbf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004640", "prompt": "Calculate: 0 * (-7) / (-790) + 56 / (8 + 32)", "solution_steps": ["Multiply: 0 * (-7) = 0", "Divide: 0 / (-790) = 0", "Add: 8 + 32 = 40", "Divide: 56 / 40 = 7/5", "Add: 0 + 7/5 = 7/5"], "final_answer": "7/5", "answer_type": "rational", "kind": "expression", "math_text": "0 * (-7) / (-790) + 56 / (8 + 32)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (* n n) n) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -7, \"c\": -790, \"d\": 56, \"e\": 8, \"f\": 32}", "seed": "7173187353411150230", "semantic_fingerprint": "sha256:a2bbecfbd57f047d51fe7a04c92b14e0f5c6de889e8552c501a46bffcc8f12c5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004641", "prompt": "Solve the equation x - 9 = 12(x - 66) + 4 for x.", "solution_steps": ["Expand: x - 9 = 12x - 792 + 4", "Combine constants: x - 9 = 12x - 788", "Subtract 12x from both sides: -11x - 9 = -788", "Add 9 to both sides: -11x = -779", "Divide both sides by -11: x = 779/11"], "final_answer": "779/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 9 = 12(x - 66) + 4", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 12, \"c\": 66, \"d\": 4}", "seed": "10678318093254351971", "semantic_fingerprint": "sha256:8814a164a8799021c486a35e0e9ea48ac77bc3e6e95c70d7a15ea3506e4a448e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004642", "prompt": "Solve for x: 9(x - 86) + 90 = 11x + 8", "solution_steps": ["Expand: 9x - 774 + 90 = 11x + 8", "Combine constants: 9x - 684 = 11x + 8", "Subtract 11x from both sides: -2x - 684 = 8", "Add 684 to both sides: -2x = 692", "Divide both sides by -2: x = -346"], "final_answer": "-346", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 86) + 90 = 11x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 86, \"c\": 90, \"d\": 11, \"e\": 8}", "seed": "10198550890182425162", "semantic_fingerprint": "sha256:1f1db116b925441572afd91217d2e6089c11464bffc22ee59c9667d292fafc85", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004643", "prompt": "Evaluate: 15 / 10 + (-1 - (50 + 3) - (-1))", "solution_steps": ["Divide: 15 / 10 = 3/2", "Add: 50 + 3 = 53", "Subtract: -1 - 53 = -54", "Subtract: -54 - (-1) = -53", "Add: 3/2 + (-53) = -103/2"], "final_answer": "-103/2", "answer_type": "rational", "kind": "expression", "math_text": "15 / 10 + (-1 - (50 + 3) - (-1))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (- (- n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": 10, \"c\": -1, \"d\": 50, \"e\": 3, \"f\": -1}", "seed": "5454073504458416666", "semantic_fingerprint": "sha256:cc4f4b88f232fc949817e02196522e2f2ecf5670d588224bf1d57fd6cfcaa76e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004644", "prompt": "Compute: (6 - 517) * (-148 / (-140))", "solution_steps": ["Subtract: 6 - 517 = -511", "Divide: -148 / (-140) = 37/35", "Multiply: -511 * (37/35) = -2701/5"], "final_answer": "-2701/5", "answer_type": "rational", "kind": "expression", "math_text": "(6 - 517) * (-148 / (-140))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 517, \"c\": -148, \"d\": -140}", "seed": "2177891967517450421", "semantic_fingerprint": "sha256:bc321e8cbfb42d6b8b81b8f259bcb67cddbdc0fa3f821ad661327193e5e114b5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004645", "prompt": "Compute: 409 / 1 * 10 - (-702) / (-6)", "solution_steps": ["Divide: 409 / 1 = 409", "Multiply: 409 * 10 = 4090", "Divide: -702 / (-6) = 117", "Subtract: 4090 - 117 = 3973"], "final_answer": "3973", "answer_type": "integer", "kind": "expression", "math_text": "409 / 1 * 10 - (-702) / (-6)", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 409, \"b\": 1, \"c\": 10, \"d\": -702, \"e\": -6}", "seed": "16626274807304443501", "semantic_fingerprint": "sha256:35afad1d61a7e351abea89d0a9c2f12f186c4238af65754780400336912f96b8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004646", "prompt": "What is -986 + (-20) - (654 + (-6))?", "solution_steps": ["Add: -986 + (-20) = -1006", "Add: 654 + (-6) = 648", "Subtract: -1006 - 648 = -1654"], "final_answer": "-1654", "answer_type": "integer", "kind": "expression", "math_text": "-986 + (-20) - (654 + (-6))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -986, \"b\": -20, \"c\": 654, \"d\": -6}", "seed": "12059171214306521298", "semantic_fingerprint": "sha256:44933ea6ed1cd75a2ca479fa9dcf7b46ee1401e05de0ae6c4b04260e24b1d263", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004647", "prompt": "Evaluate: (-76 + 8 + 19 / (-570)) / (-269)", "solution_steps": ["Add: -76 + 8 = -68", "Divide: 19 / (-570) = -1/30", "Add: -68 + (-1/30) = -2041/30", "Divide: (-2041/30) / (-269) = 2041/8070"], "final_answer": "2041/8070", "answer_type": "rational", "kind": "expression", "math_text": "(-76 + 8 + 19 / (-570)) / (-269)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": 8, \"c\": 19, \"d\": -570, \"e\": -269}", "seed": "7135624911196397372", "semantic_fingerprint": "sha256:ca8dcf1980c52f48be95e35976cf175efa48653cbc85e5fc62eb3228954b3ca1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004648", "prompt": "What is 4 / 358 - 805 + (778 + 1)?", "solution_steps": ["Divide: 4 / 358 = 2/179", "Subtract: 2/179 - 805 = -144093/179", "Add: 778 + 1 = 779", "Add: -144093/179 + 779 = -4652/179"], "final_answer": "-4652/179", "answer_type": "rational", "kind": "expression", "math_text": "4 / 358 - 805 + (778 + 1)", "variable": null, "family": "expression_4op", "shape": "(+ (- (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 358, \"c\": 805, \"d\": 778, \"e\": 1}", "seed": "13528182588384360808", "semantic_fingerprint": "sha256:6fba465addf69d3884875c720b3a83f77117814cb4aea991cfc5e1015ad43b60", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004649", "prompt": "Compute: -622 - (58 - (-8) / 8) / (-1)", "solution_steps": ["Divide: -8 / 8 = -1", "Subtract: 58 - (-1) = 59", "Divide: 59 / (-1) = -59", "Subtract: -622 - (-59) = -563"], "final_answer": "-563", "answer_type": "integer", "kind": "expression", "math_text": "-622 - (58 - (-8) / 8) / (-1)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (- n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -622, \"b\": 58, \"c\": -8, \"d\": 8, \"e\": -1}", "seed": "11732855038415500489", "semantic_fingerprint": "sha256:001500ed9d806198bc1897198250dea6c70004c9bda3ce048004a634c8a7b66a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004650", "prompt": "What is -418 + (-94) - 84 + 261?", "solution_steps": ["Add: -418 + (-94) = -512", "Subtract: -512 - 84 = -596", "Add: -596 + 261 = -335"], "final_answer": "-335", "answer_type": "integer", "kind": "expression", "math_text": "-418 + (-94) - 84 + 261", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -418, \"b\": -94, \"c\": 84, \"d\": 261}", "seed": "13587482179274404255", "semantic_fingerprint": "sha256:38afae290f01fef38508576e69726e172e65665db3ad913aff92ca049205cdee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004651", "prompt": "What value of x satisfies 12(x - 44) - 4 = 11(x - 525)?", "solution_steps": ["Expand: 12x - 528 - 4 = 11(x - 525)", "Expand: 12x - 528 - 4 = 11x - 5775", "Combine constants: 12x - 532 = 11x - 5775", "Subtract 11x from both sides: x - 532 = -5775", "Add 532 to both sides: x = -5243"], "final_answer": "-5243", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 44) - 4 = 11(x - 525)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 44, \"c\": 4, \"d\": 11, \"e\": 525}", "seed": "16881681109622588885", "semantic_fingerprint": "sha256:9593957fcfa4a943150e37ae9ca326ebccf6d961e88f6c299e811e372c326085", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004652", "prompt": "Calculate: (34 + 4) / (336 / 244)", "solution_steps": ["Add: 34 + 4 = 38", "Divide: 336 / 244 = 84/61", "Divide: 38 / (84/61) = 1159/42"], "final_answer": "1159/42", "answer_type": "rational", "kind": "expression", "math_text": "(34 + 4) / (336 / 244)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": 4, \"c\": 336, \"d\": 244}", "seed": "15272685408802922172", "semantic_fingerprint": "sha256:64f268cab5c6d146c0f92efbd6787d546c20990b0c651492309cf97e9280432a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004653", "prompt": "Solve for x: -12(x - 8) + 655 = 9(x - 8)", "solution_steps": ["Expand: -12x + 96 + 655 = 9(x - 8)", "Expand: -12x + 96 + 655 = 9x - 72", "Combine constants: -12x + 751 = 9x - 72", "Subtract 9x from both sides: -21x + 751 = -72", "Subtract 751 from both sides: -21x = -823", "Divide both sides by -21: x = 823/21"], "final_answer": "823/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 8) + 655 = 9(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 8, \"c\": 655, \"d\": 9, \"e\": 8}", "seed": "7926452475269284159", "semantic_fingerprint": "sha256:d2d31d13bff3a87a2e2182f191292cfa0f8559a838b9eafb8e2f09bf25f3be5f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004654", "prompt": "Solve for x: 4(x - 20) + 88 = 2(x - 6)", "solution_steps": ["Expand: 4x - 80 + 88 = 2(x - 6)", "Expand: 4x - 80 + 88 = 2x - 12", "Combine constants: 4x + 8 = 2x - 12", "Subtract 2x from both sides: 2x + 8 = -12", "Subtract 8 from both sides: 2x = -20", "Divide both sides by 2: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 20) + 88 = 2(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 20, \"c\": 2, \"d\": 6, \"f\": 88, \"x\": -10}", "seed": "13350976957084878254", "semantic_fingerprint": "sha256:efb8d0386a9b0ad5bcaca40b01cce264866dfc9a3133bf25c6a235ec2265b2b2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004655", "prompt": "Evaluate: (9 + 6 + 2) * (-31)", "solution_steps": ["Add: 9 + 6 = 15", "Add: 15 + 2 = 17", "Multiply: 17 * (-31) = -527"], "final_answer": "-527", "answer_type": "integer", "kind": "expression", "math_text": "(9 + 6 + 2) * (-31)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": 2, \"d\": -31}", "seed": "1936274633822891501", "semantic_fingerprint": "sha256:39eed303f164308ede8cbadff31eb9b19c660f5bf0f5874cac58ba7243c23782", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004656", "prompt": "Calculate: -60 / (-2 - (0 * (-78) / 51 + (-70)))", "solution_steps": ["Multiply: 0 * (-78) = 0", "Divide: 0 / 51 = 0", "Add: 0 + (-70) = -70", "Subtract: -2 - (-70) = 68", "Divide: -60 / 68 = -15/17"], "final_answer": "-15/17", "answer_type": "rational", "kind": "expression", "math_text": "-60 / (-2 - (0 * (-78) / 51 + (-70)))", "variable": null, "family": "expression_5op", "shape": "(/ n (- n (+ (/ (* n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": -2, \"c\": 0, \"d\": -78, \"e\": 51, \"f\": -70}", "seed": "18076992415185850772", "semantic_fingerprint": "sha256:15c01b96253b8caf9fb0e32a5a155653fbdb94dcab7010d90eff06431d311c04", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004657", "prompt": "Solve for x: 12(x - 59) = 11x - 49", "solution_steps": ["Expand: 12x - 708 = 11x - 49", "Subtract 11x from both sides: x - 708 = -49", "Add 708 to both sides: x = 659"], "final_answer": "659", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 59) = 11x - 49", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 59, \"c\": 11, \"d\": 49}", "seed": "12261721431905545142", "semantic_fingerprint": "sha256:d318be5c3ef70346466cc763afedde41266fb1569eb58614800e17732428a725", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004658", "prompt": "Solve the equation -3(x + 19) - 421 = x - 522 for x.", "solution_steps": ["Expand: -3x - 57 - 421 = x - 522", "Combine constants: -3x - 478 = x - 522", "Subtract x from both sides: -4x - 478 = -522", "Add 478 to both sides: -4x = -44", "Divide both sides by -4: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 19) - 421 = x - 522", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 19, \"c\": 421, \"e\": -522, \"x\": 11}", "seed": "9783240766322608783", "semantic_fingerprint": "sha256:5a8a3c959918c221364071e8b8108bf927881a16034e45880f373c7121e67b64", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004659", "prompt": "Solve the equation -9x - 45 = 9(x + 3) + 436 for x.", "solution_steps": ["Expand: -9x - 45 = 9x + 27 + 436", "Combine constants: -9x - 45 = 9x + 463", "Subtract 9x from both sides: -18x - 45 = 463", "Add 45 to both sides: -18x = 508", "Divide both sides by -18: x = -254/9"], "final_answer": "-254/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x - 45 = 9(x + 3) + 436", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 45, \"c\": 9, \"d\": 3, \"e\": 436}", "seed": "1345061535598011134", "semantic_fingerprint": "sha256:89540e1d2395627eeb7cba917564c11eae6cdb54c51207a950491e59123f1670", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004660", "prompt": "Evaluate: 88 * (8 + (-3) + 47 / 87 / (-24))", "solution_steps": ["Add: 8 + (-3) = 5", "Divide: 47 / 87 = 47/87", "Divide: (47/87) / (-24) = -47/2088", "Add: 5 + (-47/2088) = 10393/2088", "Multiply: 88 * (10393/2088) = 114323/261"], "final_answer": "114323/261", "answer_type": "rational", "kind": "expression", "math_text": "88 * (8 + (-3) + 47 / 87 / (-24))", "variable": null, "family": "expression_5op", "shape": "(* n (+ (+ n n) (/ (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 8, \"c\": -3, \"d\": 47, \"e\": 87, \"f\": -24}", "seed": "15009053203667370567", "semantic_fingerprint": "sha256:6dbd14eb3687400baf9a3724b85a8b037adb7fba381e3948df024cc2ab50b9dc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004661", "prompt": "Compute: (182 / (-63) - (59 - (-3)) * (-6)) / 66", "solution_steps": ["Divide: 182 / (-63) = -26/9", "Subtract: 59 - (-3) = 62", "Multiply: 62 * (-6) = -372", "Subtract: -26/9 - (-372) = 3322/9", "Divide: (3322/9) / 66 = 151/27"], "final_answer": "151/27", "answer_type": "rational", "kind": "expression", "math_text": "(182 / (-63) - (59 - (-3)) * (-6)) / 66", "variable": null, "family": "expression_5op", "shape": "(/ (- (/ n n) (* (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 182, \"b\": -63, \"c\": 59, \"d\": -3, \"e\": -6, \"f\": 66}", "seed": "13262120446116147625", "semantic_fingerprint": "sha256:debdd0b74199e195ee36a7d9dc9654930793c1774aa0ebb0f81449f10de80d79", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004662", "prompt": "What value of x satisfies 11(x - 5) + 13 = 10(x - 18)?", "solution_steps": ["Expand: 11x - 55 + 13 = 10(x - 18)", "Expand: 11x - 55 + 13 = 10x - 180", "Combine constants: 11x - 42 = 10x - 180", "Subtract 10x from both sides: x - 42 = -180", "Add 42 to both sides: x = -138"], "final_answer": "-138", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 5) + 13 = 10(x - 18)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": 13, \"d\": 10, \"e\": 18}", "seed": "14711530454571409966", "semantic_fingerprint": "sha256:f4b70666dace049c3201200c3ff20ec1187ba86f48242cd7c9ffb045820a1a53", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004663", "prompt": "Compute: -66 / ((-45 * (-2) - 34) / 504)", "solution_steps": ["Multiply: -45 * (-2) = 90", "Subtract: 90 - 34 = 56", "Divide: 56 / 504 = 1/9", "Divide: -66 / (1/9) = -594"], "final_answer": "-594", "answer_type": "integer", "kind": "expression", "math_text": "-66 / ((-45 * (-2) - 34) / 504)", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (- (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": -45, \"c\": -2, \"d\": 34, \"e\": 504}", "seed": "12580053491072862568", "semantic_fingerprint": "sha256:5e3f577496dcc4ce5f4ba1a37f05773923509f9534ca76dd1488012322f5a117", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004664", "prompt": "Solve the equation -4(x - 821) - 7 = -9(x - 2) - 3 for x.", "solution_steps": ["Expand: -4x + 3284 - 7 = -9(x - 2) - 3", "Expand: -4x + 3284 - 7 = -9x + 18 - 3", "Combine constants: -4x + 3277 = -9x + 18 - 3", "Combine constants: -4x + 3277 = -9x + 15", "Add 9x to both sides: 5x + 3277 = 15", "Subtract 3277 from both sides: 5x = -3262", "Divide both sides by 5: x = -3262/5"], "final_answer": "-3262/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 821) - 7 = -9(x - 2) - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 821, \"c\": 7, \"d\": -9, \"e\": 2, \"f\": 3}", "seed": "12854641981598159457", "semantic_fingerprint": "sha256:0db38eaba7af263da68573b7ef3a07f6068b639f3d7d0f790942ac51788101b4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004665", "prompt": "Solve for x: -3(x - 39) + 7 = 3(x + 58) - 5", "solution_steps": ["Expand: -3x + 117 + 7 = 3(x + 58) - 5", "Expand: -3x + 117 + 7 = 3x + 174 - 5", "Combine constants: -3x + 124 = 3x + 174 - 5", "Combine constants: -3x + 124 = 3x + 169", "Subtract 3x from both sides: -6x + 124 = 169", "Subtract 124 from both sides: -6x = 45", "Divide both sides by -6: x = -15/2"], "final_answer": "-15/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 39) + 7 = 3(x + 58) - 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 39, \"c\": 7, \"d\": 3, \"e\": 58, \"f\": 5}", "seed": "9085238079475649194", "semantic_fingerprint": "sha256:13f86675ef2f3ae05ac3069bbf53e359def874f8af7923c3f23b3b3ede1b16b5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004666", "prompt": "Evaluate: (621 / (-53) - 6) * (3 * 340)", "solution_steps": ["Divide: 621 / (-53) = -621/53", "Subtract: -621/53 - 6 = -939/53", "Multiply: 3 * 340 = 1020", "Multiply: (-939/53) * 1020 = -957780/53"], "final_answer": "-957780/53", "answer_type": "rational", "kind": "expression", "math_text": "(621 / (-53) - 6) * (3 * 340)", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 621, \"b\": -53, \"c\": 6, \"d\": 3, \"e\": 340}", "seed": "2248240776914927499", "semantic_fingerprint": "sha256:7c01393d4a3abbbcff4ee4c2bc608e28f058884b556473b716a63eedf4477d2d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004667", "prompt": "Calculate: -4 - (-4) * (-38 - 44) + (-4)", "solution_steps": ["Subtract: -38 - 44 = -82", "Multiply: -4 * (-82) = 328", "Subtract: -4 - 328 = -332", "Add: -332 + (-4) = -336"], "final_answer": "-336", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (-4) * (-38 - 44) + (-4)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -4, \"c\": -38, \"d\": 44, \"e\": -4}", "seed": "4404041736757270529", "semantic_fingerprint": "sha256:527cae752652cd3ab3f2452e18844e43d34a655ceaf4c4b58ad0a719eda45286", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004668", "prompt": "What is (0 - (-529)) * (56 / (-836))?", "solution_steps": ["Subtract: 0 - (-529) = 529", "Divide: 56 / (-836) = -14/209", "Multiply: 529 * (-14/209) = -7406/209"], "final_answer": "-7406/209", "answer_type": "rational", "kind": "expression", "math_text": "(0 - (-529)) * (56 / (-836))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -529, \"c\": 56, \"d\": -836}", "seed": "9896060814609663435", "semantic_fingerprint": "sha256:78fb0a1fc4550ec87f75214162c3f73bb6bfbaf2bdbcc1039fa34cf6429a4fd9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004669", "prompt": "What value of x satisfies -4(x + 19) + 3 = 10(x + 96) - 837?", "solution_steps": ["Expand: -4x - 76 + 3 = 10(x + 96) - 837", "Expand: -4x - 76 + 3 = 10x + 960 - 837", "Combine constants: -4x - 73 = 10x + 960 - 837", "Combine constants: -4x - 73 = 10x + 123", "Subtract 10x from both sides: -14x - 73 = 123", "Add 73 to both sides: -14x = 196", "Divide both sides by -14: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 19) + 3 = 10(x + 96) - 837", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 19, \"c\": 3, \"d\": 10, \"e\": 96, \"g\": -837, \"x\": -14}", "seed": "17765781991155068790", "semantic_fingerprint": "sha256:0b3ec247a744c1401e89c03771f0abf02fab473c3b5f36543ab6a5f7fdec638d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004670", "prompt": "Calculate: 8 * 18 - (-327 - (-67 + (-95)))", "solution_steps": ["Multiply: 8 * 18 = 144", "Add: -67 + (-95) = -162", "Subtract: -327 - (-162) = -165", "Subtract: 144 - (-165) = 309"], "final_answer": "309", "answer_type": "integer", "kind": "expression", "math_text": "8 * 18 - (-327 - (-67 + (-95)))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 18, \"c\": -327, \"d\": -67, \"e\": -95}", "seed": "17910286181859772128", "semantic_fingerprint": "sha256:4c3fa50cb79571d017531a0fdd0a5bcb88179f5448843fd37c4c5023fa862504", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004671", "prompt": "Solve the equation 9(x - 60) - 20 = 4(x - 9) - 514 for x.", "solution_steps": ["Expand: 9x - 540 - 20 = 4(x - 9) - 514", "Expand: 9x - 540 - 20 = 4x - 36 - 514", "Combine constants: 9x - 560 = 4x - 36 - 514", "Combine constants: 9x - 560 = 4x - 550", "Subtract 4x from both sides: 5x - 560 = -550", "Add 560 to both sides: 5x = 10", "Divide both sides by 5: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 60) - 20 = 4(x - 9) - 514", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 60, \"c\": 20, \"d\": 4, \"e\": 9, \"g\": -514, \"x\": 2}", "seed": "4917929669229000795", "semantic_fingerprint": "sha256:3ca5e15f92b571d2e1a8faa0584e32feba5362aa824911e37ef506f12eb52860", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004672", "prompt": "Compute: -60 - (-3 + 7) / 33 / 274", "solution_steps": ["Add: -3 + 7 = 4", "Divide: 4 / 33 = 4/33", "Divide: (4/33) / 274 = 2/4521", "Subtract: -60 - 2/4521 = -271262/4521"], "final_answer": "-271262/4521", "answer_type": "rational", "kind": "expression", "math_text": "-60 - (-3 + 7) / 33 / 274", "variable": null, "family": "expression_4op", "shape": "(- n (/ (/ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": -3, \"c\": 7, \"d\": 33, \"e\": 274}", "seed": "2176652107420142592", "semantic_fingerprint": "sha256:7a75d0561ab82c83dbf647eaf7f8a7db67e1956b7d115b996ec2133592f2e264", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004673", "prompt": "Evaluate: (-854 / (-584) + 0) * (-933)", "solution_steps": ["Divide: -854 / (-584) = 427/292", "Add: 427/292 + 0 = 427/292", "Multiply: (427/292) * (-933) = -398391/292"], "final_answer": "-398391/292", "answer_type": "rational", "kind": "expression", "math_text": "(-854 / (-584) + 0) * (-933)", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -854, \"b\": -584, \"c\": 0, \"d\": -933}", "seed": "15544336880790084209", "semantic_fingerprint": "sha256:32603047edbe0c25635c913956b3aae831501594931a67be4aadade42e98d835", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004674", "prompt": "What value of x satisfies 2(x - 22) + 26 = -8(x + 2) - 5?", "solution_steps": ["Expand: 2x - 44 + 26 = -8(x + 2) - 5", "Expand: 2x - 44 + 26 = -8x - 16 - 5", "Combine constants: 2x - 18 = -8x - 16 - 5", "Combine constants: 2x - 18 = -8x - 21", "Add 8x to both sides: 10x - 18 = -21", "Add 18 to both sides: 10x = -3", "Divide both sides by 10: x = -3/10"], "final_answer": "-3/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 22) + 26 = -8(x + 2) - 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 22, \"c\": 26, \"d\": -8, \"e\": 2, \"f\": 5}", "seed": "2456999793501835376", "semantic_fingerprint": "sha256:8e04b0debade8404f7b84899ce2dfee6d1736ba5bff78d3256599fa3a59553c9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004675", "prompt": "What value of x satisfies 4(x - 2) + 620 = -9x + 651?", "solution_steps": ["Expand: 4x - 8 + 620 = -9x + 651", "Combine constants: 4x + 612 = -9x + 651", "Add 9x to both sides: 13x + 612 = 651", "Subtract 612 from both sides: 13x = 39", "Divide both sides by 13: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 2) + 620 = -9x + 651", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": 620, \"d\": -9, \"f\": 651, \"x\": 3}", "seed": "2680962443140899177", "semantic_fingerprint": "sha256:f711f975c17d05b968c41b1f79a65869b4768113b5fe4006d8e6aecb0ee64468", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004676", "prompt": "Compute: (-1 - (-810)) * 365 / (-71 * 7)", "solution_steps": ["Subtract: -1 - (-810) = 809", "Multiply: 809 * 365 = 295285", "Multiply: -71 * 7 = -497", "Divide: 295285 / (-497) = -295285/497"], "final_answer": "-295285/497", "answer_type": "rational", "kind": "expression", "math_text": "(-1 - (-810)) * 365 / (-71 * 7)", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -810, \"c\": 365, \"d\": -71, \"e\": 7}", "seed": "2451452108115544252", "semantic_fingerprint": "sha256:6a141a15b0655e07f0eccd59a3d5f58a3ed4ea1f7d3ea37341171c7343cda79d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004677", "prompt": "Compute: -3 + (-991 * (-1) + (-887) * 34)", "solution_steps": ["Multiply: -991 * (-1) = 991", "Multiply: -887 * 34 = -30158", "Add: 991 + (-30158) = -29167", "Add: -3 + (-29167) = -29170"], "final_answer": "-29170", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (-991 * (-1) + (-887) * 34)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -991, \"c\": -1, \"d\": -887, \"e\": 34}", "seed": "14423542691424364742", "semantic_fingerprint": "sha256:df048ad662fa8698ffe74002929bf1e31ba196aa9d2cdafc0386df763cbe77ca", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004678", "prompt": "What is 6 / 8 + (-922) / 632?", "solution_steps": ["Divide: 6 / 8 = 3/4", "Divide: -922 / 632 = -461/316", "Add: 3/4 + (-461/316) = -56/79"], "final_answer": "-56/79", "answer_type": "rational", "kind": "expression", "math_text": "6 / 8 + (-922) / 632", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": -922, \"d\": 632}", "seed": "683868811858635089", "semantic_fingerprint": "sha256:b3c28820912fce7db077d513e5c31a2f637d932a9a143b670152927a2a0d908e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004679", "prompt": "What is -9 * (-14 * (-26)) - (-442)?", "solution_steps": ["Multiply: -14 * (-26) = 364", "Multiply: -9 * 364 = -3276", "Subtract: -3276 - (-442) = -2834"], "final_answer": "-2834", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-14 * (-26)) - (-442)", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -14, \"c\": -26, \"d\": -442}", "seed": "3537625914949071893", "semantic_fingerprint": "sha256:0bacafa9d4e3fb52ba8e18eaa35f11d8cb42ee7921cb054d23680346de054c1c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004680", "prompt": "Evaluate: (1 + (-5 - (-56))) / (804 + (-409)) * 202", "solution_steps": ["Subtract: -5 - (-56) = 51", "Add: 1 + 51 = 52", "Add: 804 + (-409) = 395", "Divide: 52 / 395 = 52/395", "Multiply: (52/395) * 202 = 10504/395"], "final_answer": "10504/395", "answer_type": "rational", "kind": "expression", "math_text": "(1 + (-5 - (-56))) / (804 + (-409)) * 202", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ n (- n n)) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -5, \"c\": -56, \"d\": 804, \"e\": -409, \"f\": 202}", "seed": "16726446760774514228", "semantic_fingerprint": "sha256:0f1874d1c84647ba76019d23ce1b73e93876bd9ab6b4f1e288fdf7a9034382e6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004681", "prompt": "Find x: -3(x - 29) + 85 = -11(x - 4)", "solution_steps": ["Expand: -3x + 87 + 85 = -11(x - 4)", "Expand: -3x + 87 + 85 = -11x + 44", "Combine constants: -3x + 172 = -11x + 44", "Add 11x to both sides: 8x + 172 = 44", "Subtract 172 from both sides: 8x = -128", "Divide both sides by 8: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 29) + 85 = -11(x - 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 29, \"c\": -11, \"d\": 4, \"f\": 85, \"x\": -16}", "seed": "5605798458838831246", "semantic_fingerprint": "sha256:65b4d7cf12729c68b0ce73cd40d1ab6dfab1d19814d56e2a120847b3f904e51b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004682", "prompt": "Calculate: -9 * (39 * (-12 - 18))", "solution_steps": ["Subtract: -12 - 18 = -30", "Multiply: 39 * (-30) = -1170", "Multiply: -9 * (-1170) = 10530"], "final_answer": "10530", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (39 * (-12 - 18))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 39, \"c\": -12, \"d\": 18}", "seed": "10470067199026984960", "semantic_fingerprint": "sha256:dc8fc6d1ff4e13656c2ff5166fa7abc38d8030e3256704170a7028f9c88d0f5b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004683", "prompt": "Solve for x: 3(x - 4) + 3 = 5x + 4", "solution_steps": ["Expand: 3x - 12 + 3 = 5x + 4", "Combine constants: 3x - 9 = 5x + 4", "Subtract 5x from both sides: -2x - 9 = 4", "Add 9 to both sides: -2x = 13", "Divide both sides by -2: x = -13/2"], "final_answer": "-13/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 4) + 3 = 5x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"c\": 3, \"d\": 5, \"e\": 4}", "seed": "4363663805614916167", "semantic_fingerprint": "sha256:d016e252db63ac47b6660b3fb1f028590b1d6e035ce142da942bfe35d7c8211c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004684", "prompt": "Calculate: (67 * (-756) + (-206)) * (-1)", "solution_steps": ["Multiply: 67 * (-756) = -50652", "Add: -50652 + (-206) = -50858", "Multiply: -50858 * (-1) = 50858"], "final_answer": "50858", "answer_type": "integer", "kind": "expression", "math_text": "(67 * (-756) + (-206)) * (-1)", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -756, \"c\": -206, \"d\": -1}", "seed": "5090720678114964916", "semantic_fingerprint": "sha256:1c72053caf3ccc310e5eeb90632bd33ee5480421ffa68edd8e6314010e05bb59", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004685", "prompt": "Calculate: (-8 * 0 + 66) * (-206)", "solution_steps": ["Multiply: -8 * 0 = 0", "Add: 0 + 66 = 66", "Multiply: 66 * (-206) = -13596"], "final_answer": "-13596", "answer_type": "integer", "kind": "expression", "math_text": "(-8 * 0 + 66) * (-206)", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 0, \"c\": 66, \"d\": -206}", "seed": "17604779703050515111", "semantic_fingerprint": "sha256:eff6c97a43a2c3790dc7614c8c5dd5245de7383dd49e1cddcd0ddc4bae505c58", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004686", "prompt": "What value of x satisfies 4(x - 1) - 82 = 5(x - 6) - 38?", "solution_steps": ["Expand: 4x - 4 - 82 = 5(x - 6) - 38", "Expand: 4x - 4 - 82 = 5x - 30 - 38", "Combine constants: 4x - 86 = 5x - 30 - 38", "Combine constants: 4x - 86 = 5x - 68", "Subtract 5x from both sides: -x - 86 = -68", "Add 86 to both sides: -x = 18", "Divide both sides by -1: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 1) - 82 = 5(x - 6) - 38", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 82, \"d\": 5, \"e\": 6, \"g\": -38, \"x\": -18}", "seed": "1151682723504547127", "semantic_fingerprint": "sha256:17c1029fd3d6dc82c484bbe206349b99a0698a8e3cb6b32520784ec96e1d8577", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004687", "prompt": "Solve the equation x - 58 = 5(x - 45) + 211 for x.", "solution_steps": ["Expand: x - 58 = 5x - 225 + 211", "Combine constants: x - 58 = 5x - 14", "Subtract 5x from both sides: -4x - 58 = -14", "Add 58 to both sides: -4x = 44", "Divide both sides by -4: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 58 = 5(x - 45) + 211", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 5, \"c\": 45, \"e\": 211, \"x\": -11}", "seed": "4136291902391211895", "semantic_fingerprint": "sha256:10f372a733bbf2671e6255c89411a0bccf5add830b4fff403d0fd729ab0b4681", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004688", "prompt": "Solve for x: 4(x - 7) = 11x - 126", "solution_steps": ["Expand: 4x - 28 = 11x - 126", "Subtract 11x from both sides: -7x - 28 = -126", "Add 28 to both sides: -7x = -98", "Divide both sides by -7: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 7) = 11x - 126", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 11, \"e\": -126, \"x\": 14}", "seed": "11842716025317290582", "semantic_fingerprint": "sha256:fa40a9ab8808afa8bc3442c4797c74c8451177d6056c4b46a1a7b53e3b8df597", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004689", "prompt": "Evaluate: (-5 - 40) * (-618) / (-53) - 64", "solution_steps": ["Subtract: -5 - 40 = -45", "Multiply: -45 * (-618) = 27810", "Divide: 27810 / (-53) = -27810/53", "Subtract: -27810/53 - 64 = -31202/53"], "final_answer": "-31202/53", "answer_type": "rational", "kind": "expression", "math_text": "(-5 - 40) * (-618) / (-53) - 64", "variable": null, "family": "expression_4op", "shape": "(- (/ (* (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 40, \"c\": -618, \"d\": -53, \"e\": 64}", "seed": "10601441260376546266", "semantic_fingerprint": "sha256:7bd764829f5630597fceddde7ca08ece13137fc6a5bb49075b58f09836167e99", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004690", "prompt": "What is 6 + 8 + (413 - 105) * (-46)?", "solution_steps": ["Add: 6 + 8 = 14", "Subtract: 413 - 105 = 308", "Multiply: 308 * (-46) = -14168", "Add: 14 + (-14168) = -14154"], "final_answer": "-14154", "answer_type": "integer", "kind": "expression", "math_text": "6 + 8 + (413 - 105) * (-46)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 413, \"d\": 105, \"e\": -46}", "seed": "1168479195546211689", "semantic_fingerprint": "sha256:2e3841506ed6bb406a130172d21ce758630e43d04c60745a03f990e293c9470d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004691", "prompt": "Evaluate: -44 - (-8) / (-216) - (8 - (-71) - (-919))", "solution_steps": ["Divide: -8 / (-216) = 1/27", "Subtract: -44 - 1/27 = -1189/27", "Subtract: 8 - (-71) = 79", "Subtract: 79 - (-919) = 998", "Subtract: -1189/27 - 998 = -28135/27"], "final_answer": "-28135/27", "answer_type": "rational", "kind": "expression", "math_text": "-44 - (-8) / (-216) - (8 - (-71) - (-919))", "variable": null, "family": "expression_5op", "shape": "(- (- n (/ n n)) (- (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -8, \"c\": -216, \"d\": 8, \"e\": -71, \"f\": -919}", "seed": "10818260024613464544", "semantic_fingerprint": "sha256:dcdf4040e90cbab4faa0136ddb6d227f5ca4774cec76c6a9f47521c069ebf07a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004692", "prompt": "What value of x satisfies 11x - 69 = 7(x + 905) + 7?", "solution_steps": ["Expand: 11x - 69 = 7x + 6335 + 7", "Combine constants: 11x - 69 = 7x + 6342", "Subtract 7x from both sides: 4x - 69 = 6342", "Add 69 to both sides: 4x = 6411", "Divide both sides by 4: x = 6411/4"], "final_answer": "6411/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 69 = 7(x + 905) + 7", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 69, \"c\": 7, \"d\": 905, \"e\": 7}", "seed": "6680602358314413240", "semantic_fingerprint": "sha256:dbc45634044f22ef3b8df2b99d57f6c7f4d9db25d45e97e6acc1d4918aea1d8d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004693", "prompt": "What is (192 + 219) / (43 * (-4)) * (-83 * 16)?", "solution_steps": ["Add: 192 + 219 = 411", "Multiply: 43 * (-4) = -172", "Divide: 411 / (-172) = -411/172", "Multiply: -83 * 16 = -1328", "Multiply: (-411/172) * (-1328) = 136452/43"], "final_answer": "136452/43", "answer_type": "rational", "kind": "expression", "math_text": "(192 + 219) / (43 * (-4)) * (-83 * 16)", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ n n) (* n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 192, \"b\": 219, \"c\": 43, \"d\": -4, \"e\": -83, \"f\": 16}", "seed": "4447710766843761", "semantic_fingerprint": "sha256:a20a07e5579c07d03c18e2c3dec02093e7317fbde155e838969663efb4dab452", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004694", "prompt": "Compute: 21 * 875 / (-6 + (-78))", "solution_steps": ["Multiply: 21 * 875 = 18375", "Add: -6 + (-78) = -84", "Divide: 18375 / (-84) = -875/4"], "final_answer": "-875/4", "answer_type": "rational", "kind": "expression", "math_text": "21 * 875 / (-6 + (-78))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 875, \"c\": -6, \"d\": -78}", "seed": "11817829472602374015", "semantic_fingerprint": "sha256:f8bafcdde80729901adf3a99053c3086568a29ab8cd447b27b356b5b7a9dac01", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004695", "prompt": "Compute: 326 / (15 * 1 * (-67)) - (9 + (-91))", "solution_steps": ["Multiply: 15 * 1 = 15", "Multiply: 15 * (-67) = -1005", "Divide: 326 / (-1005) = -326/1005", "Add: 9 + (-91) = -82", "Subtract: -326/1005 - (-82) = 82084/1005"], "final_answer": "82084/1005", "answer_type": "rational", "kind": "expression", "math_text": "326 / (15 * 1 * (-67)) - (9 + (-91))", "variable": null, "family": "expression_5op", "shape": "(- (/ n (* (* n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 326, \"b\": 15, \"c\": 1, \"d\": -67, \"e\": 9, \"f\": -91}", "seed": "16243626319688192333", "semantic_fingerprint": "sha256:f98216bb70f3b40cc59fba30aee20553f87f11e73972dd8bb6d36ba82eacfcc9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004696", "prompt": "What is (400 - (-69)) / (-8 * 61)?", "solution_steps": ["Subtract: 400 - (-69) = 469", "Multiply: -8 * 61 = -488", "Divide: 469 / (-488) = -469/488"], "final_answer": "-469/488", "answer_type": "rational", "kind": "expression", "math_text": "(400 - (-69)) / (-8 * 61)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 400, \"b\": -69, \"c\": -8, \"d\": 61}", "seed": "8907146448713530329", "semantic_fingerprint": "sha256:54caf27001f74aa53cb839e5b0267c0873f35f001676e88f7eb507404ae8f1fb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004697", "prompt": "Evaluate: 23 - 97 / (-1 * (-77))", "solution_steps": ["Multiply: -1 * (-77) = 77", "Divide: 97 / 77 = 97/77", "Subtract: 23 - 97/77 = 1674/77"], "final_answer": "1674/77", "answer_type": "rational", "kind": "expression", "math_text": "23 - 97 / (-1 * (-77))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 97, \"c\": -1, \"d\": -77}", "seed": "3614624157981189341", "semantic_fingerprint": "sha256:a3d2c64a6f2efb2555d066c96b47895334195abda2e6face5320427d2025f5e7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004698", "prompt": "What value of x satisfies 3(x - 97) = 5x - 281?", "solution_steps": ["Expand: 3x - 291 = 5x - 281", "Subtract 5x from both sides: -2x - 291 = -281", "Add 291 to both sides: -2x = 10", "Divide both sides by -2: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 97) = 5x - 281", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 97, \"c\": 5, \"e\": -281, \"x\": -5}", "seed": "18274551010376374658", "semantic_fingerprint": "sha256:3c2a0d21276256972e018da061b83c4bf16a9c085c1ce5b02a273aa30cc7f433", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004699", "prompt": "Calculate: 74 * (-16) + (771 - 9 + (-35) * 8)", "solution_steps": ["Multiply: 74 * (-16) = -1184", "Subtract: 771 - 9 = 762", "Multiply: -35 * 8 = -280", "Add: 762 + (-280) = 482", "Add: -1184 + 482 = -702"], "final_answer": "-702", "answer_type": "integer", "kind": "expression", "math_text": "74 * (-16) + (771 - 9 + (-35) * 8)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (+ (- n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -16, \"c\": 771, \"d\": 9, \"e\": -35, \"f\": 8}", "seed": "15083803735414338203", "semantic_fingerprint": "sha256:892b0013a4b35271bfa8c1b707dbab8f34f271276b4039c3c9c8f483e4d13d2b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004700", "prompt": "Calculate: -46 * (-901 / 992 / 8)", "solution_steps": ["Divide: -901 / 992 = -901/992", "Divide: (-901/992) / 8 = -901/7936", "Multiply: -46 * (-901/7936) = 20723/3968"], "final_answer": "20723/3968", "answer_type": "rational", "kind": "expression", "math_text": "-46 * (-901 / 992 / 8)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": -901, \"c\": 992, \"d\": 8}", "seed": "7407458097212767011", "semantic_fingerprint": "sha256:73b51f8d8fd3de2fc9adad8047f680cde0d0bd052ce0c0acadd4ec54e880fb0a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004701", "prompt": "Compute: (-60 / 27 - (-264)) * (-4 * 79)", "solution_steps": ["Divide: -60 / 27 = -20/9", "Subtract: -20/9 - (-264) = 2356/9", "Multiply: -4 * 79 = -316", "Multiply: (2356/9) * (-316) = -744496/9"], "final_answer": "-744496/9", "answer_type": "rational", "kind": "expression", "math_text": "(-60 / 27 - (-264)) * (-4 * 79)", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": 27, \"c\": -264, \"d\": -4, \"e\": 79}", "seed": "11794929204251665754", "semantic_fingerprint": "sha256:96da5a196f6b6a1b97efa9dcc69a99c0c77bd1250e05d458d856e970cc36e6e8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004702", "prompt": "What value of x satisfies 8(x - 49) + 352 = 10(x - 6)?", "solution_steps": ["Expand: 8x - 392 + 352 = 10(x - 6)", "Expand: 8x - 392 + 352 = 10x - 60", "Combine constants: 8x - 40 = 10x - 60", "Subtract 10x from both sides: -2x - 40 = -60", "Add 40 to both sides: -2x = -20", "Divide both sides by -2: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 49) + 352 = 10(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 49, \"c\": 10, \"d\": 6, \"f\": 352, \"x\": 10}", "seed": "5094087836676349596", "semantic_fingerprint": "sha256:1b8d8e4cc2c72bcde4249e2a811ea4efeffa3155cf1b3f6a75c36cf62fd940dd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004703", "prompt": "What value of x satisfies 4x - 7 = -10(x + 2) + 337?", "solution_steps": ["Expand: 4x - 7 = -10x - 20 + 337", "Combine constants: 4x - 7 = -10x + 317", "Add 10x to both sides: 14x - 7 = 317", "Add 7 to both sides: 14x = 324", "Divide both sides by 14: x = 162/7"], "final_answer": "162/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x - 7 = -10(x + 2) + 337", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": -10, \"d\": 2, \"e\": 337}", "seed": "9582606374669992850", "semantic_fingerprint": "sha256:6ffc612dae81bbc5d9ce93894f068efc6353f1649d064345cfdebb96c3c4a4b9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004704", "prompt": "Calculate: (976 - (-7) / 6) / (-36 / 68)", "solution_steps": ["Divide: -7 / 6 = -7/6", "Subtract: 976 - (-7/6) = 5863/6", "Divide: -36 / 68 = -9/17", "Divide: (5863/6) / (-9/17) = -99671/54"], "final_answer": "-99671/54", "answer_type": "rational", "kind": "expression", "math_text": "(976 - (-7) / 6) / (-36 / 68)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 976, \"b\": -7, \"c\": 6, \"d\": -36, \"e\": 68}", "seed": "7084232912117392313", "semantic_fingerprint": "sha256:59abe6f4bd5b874b45a8015b729f327a033da9a8fa5c7b38e9fae60ce186e9e7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004705", "prompt": "Calculate: (-52 - 35) * (55 / 7)", "solution_steps": ["Subtract: -52 - 35 = -87", "Divide: 55 / 7 = 55/7", "Multiply: -87 * (55/7) = -4785/7"], "final_answer": "-4785/7", "answer_type": "rational", "kind": "expression", "math_text": "(-52 - 35) * (55 / 7)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": 35, \"c\": 55, \"d\": 7}", "seed": "3073078597268898319", "semantic_fingerprint": "sha256:a90c45c59e8642f9db3db69b0d6538c1bc7ff209438d8301b7460f2e772204de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004706", "prompt": "What value of x satisfies 10(x - 134) - 194 = 2(x - 783)?", "solution_steps": ["Expand: 10x - 1340 - 194 = 2(x - 783)", "Expand: 10x - 1340 - 194 = 2x - 1566", "Combine constants: 10x - 1534 = 2x - 1566", "Subtract 2x from both sides: 8x - 1534 = -1566", "Add 1534 to both sides: 8x = -32", "Divide both sides by 8: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 134) - 194 = 2(x - 783)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 134, \"c\": 2, \"d\": 783, \"f\": -194, \"x\": -4}", "seed": "2320360377670187190", "semantic_fingerprint": "sha256:841aab8d887dc84761bc3185c486c9b09ba532e926c2b4ca9c12a54d099d7421", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004707", "prompt": "What value of x satisfies 3(x - 64) - 44 = 7(x - 36)?", "solution_steps": ["Expand: 3x - 192 - 44 = 7(x - 36)", "Expand: 3x - 192 - 44 = 7x - 252", "Combine constants: 3x - 236 = 7x - 252", "Subtract 7x from both sides: -4x - 236 = -252", "Add 236 to both sides: -4x = -16", "Divide both sides by -4: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 64) - 44 = 7(x - 36)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 64, \"c\": 7, \"d\": 36, \"f\": -44, \"x\": 4}", "seed": "5072377389799572431", "semantic_fingerprint": "sha256:3de60a8d873932a6cb1c2f2775fff8ab1b6b9bba97b171a625ab66b90f980a3d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004708", "prompt": "Compute: -841 + 9 - (52 + (-4)) - (85 - 5)", "solution_steps": ["Add: -841 + 9 = -832", "Add: 52 + (-4) = 48", "Subtract: -832 - 48 = -880", "Subtract: 85 - 5 = 80", "Subtract: -880 - 80 = -960"], "final_answer": "-960", "answer_type": "integer", "kind": "expression", "math_text": "-841 + 9 - (52 + (-4)) - (85 - 5)", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n n) (+ n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -841, \"b\": 9, \"c\": 52, \"d\": -4, \"e\": 85, \"f\": 5}", "seed": "105669759361185315", "semantic_fingerprint": "sha256:a2df8fb49f16db92909592f9df435ec3438d50512bc14e9aaa06eebd74c81071", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004709", "prompt": "Calculate: (-1 - (-37 + (7 - 817))) * (-28)", "solution_steps": ["Subtract: 7 - 817 = -810", "Add: -37 + (-810) = -847", "Subtract: -1 - (-847) = 846", "Multiply: 846 * (-28) = -23688"], "final_answer": "-23688", "answer_type": "integer", "kind": "expression", "math_text": "(-1 - (-37 + (7 - 817))) * (-28)", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -37, \"c\": 7, \"d\": 817, \"e\": -28}", "seed": "11203586748618484303", "semantic_fingerprint": "sha256:1dc5859dd1bf0c1c0aaf8bdd5eaf5f286e33097f696c8fd6f520393c20eed616", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004710", "prompt": "What is (30 - 0 / 98) / (-860)?", "solution_steps": ["Divide: 0 / 98 = 0", "Subtract: 30 - 0 = 30", "Divide: 30 / (-860) = -3/86"], "final_answer": "-3/86", "answer_type": "rational", "kind": "expression", "math_text": "(30 - 0 / 98) / (-860)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 0, \"c\": 98, \"d\": -860}", "seed": "4879268383268269733", "semantic_fingerprint": "sha256:bcc16c0db4a87344725a115ab514a758654a4e2d50d60b334d8f26677f934fea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004711", "prompt": "Evaluate: 40 / 26 + (-9) / (-25)", "solution_steps": ["Divide: 40 / 26 = 20/13", "Divide: -9 / (-25) = 9/25", "Add: 20/13 + 9/25 = 617/325"], "final_answer": "617/325", "answer_type": "rational", "kind": "expression", "math_text": "40 / 26 + (-9) / (-25)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": 26, \"c\": -9, \"d\": -25}", "seed": "153365629588894748", "semantic_fingerprint": "sha256:7e4c0be741105aee9b9c26c2b9dc4d327a8d751531e7e13c9e10a146e7b58b16", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004712", "prompt": "Evaluate: -330 / 7 + 4 / 70 * (-28 / (-7))", "solution_steps": ["Divide: -330 / 7 = -330/7", "Divide: 4 / 70 = 2/35", "Divide: -28 / (-7) = 4", "Multiply: (2/35) * 4 = 8/35", "Add: -330/7 + 8/35 = -1642/35"], "final_answer": "-1642/35", "answer_type": "rational", "kind": "expression", "math_text": "-330 / 7 + 4 / 70 * (-28 / (-7))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (* (/ n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -330, \"b\": 7, \"c\": 4, \"d\": 70, \"e\": -28, \"f\": -7}", "seed": "17107283743159642527", "semantic_fingerprint": "sha256:76521b381469f0c44c4732c10cf0e274d8f0f8550917c5e9173337e93c698164", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004713", "prompt": "Calculate: 92 * 0 + (68 / (-430) - 987)", "solution_steps": ["Multiply: 92 * 0 = 0", "Divide: 68 / (-430) = -34/215", "Subtract: -34/215 - 987 = -212239/215", "Add: 0 + (-212239/215) = -212239/215"], "final_answer": "-212239/215", "answer_type": "rational", "kind": "expression", "math_text": "92 * 0 + (68 / (-430) - 987)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 0, \"c\": 68, \"d\": -430, \"e\": 987}", "seed": "11221551184397832035", "semantic_fingerprint": "sha256:0c788238cfa2b80c52f6994d02acd8d17023e97624e28359a11ac46fd45f320c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004714", "prompt": "What is (-7 - 0) / (8 * (-3))?", "solution_steps": ["Subtract: -7 - 0 = -7", "Multiply: 8 * (-3) = -24", "Divide: -7 / (-24) = 7/24"], "final_answer": "7/24", "answer_type": "rational", "kind": "expression", "math_text": "(-7 - 0) / (8 * (-3))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 0, \"c\": 8, \"d\": -3}", "seed": "9905299952583292410", "semantic_fingerprint": "sha256:923e47ff1b56b8a748f990852c00919763fbbe61bb49ed03f53428f73b4eb026", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004715", "prompt": "Solve for x: -4(x - 6) - 6 = 8(x - 1)", "solution_steps": ["Expand: -4x + 24 - 6 = 8(x - 1)", "Expand: -4x + 24 - 6 = 8x - 8", "Combine constants: -4x + 18 = 8x - 8", "Subtract 8x from both sides: -12x + 18 = -8", "Subtract 18 from both sides: -12x = -26", "Divide both sides by -12: x = 13/6"], "final_answer": "13/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 6) - 6 = 8(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 6, \"c\": 6, \"d\": 8, \"e\": 1}", "seed": "9887596832643260752", "semantic_fingerprint": "sha256:35feae421a7a69a711a1e99e5798193d18230a487beffd00692d4d0bd7e9dcef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004716", "prompt": "What value of x satisfies 10(x - 73) + 3 = 9x + 625?", "solution_steps": ["Expand: 10x - 730 + 3 = 9x + 625", "Combine constants: 10x - 727 = 9x + 625", "Subtract 9x from both sides: x - 727 = 625", "Add 727 to both sides: x = 1352"], "final_answer": "1352", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 73) + 3 = 9x + 625", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 73, \"c\": 3, \"d\": 9, \"e\": 625}", "seed": "5201141256700261439", "semantic_fingerprint": "sha256:b7698f611bc098e4a050d63008ec78c5f00a1b61d3c761a267de306b8715ece2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004717", "prompt": "What value of x satisfies -9(x - 2) - 445 = 11(x - 37)?", "solution_steps": ["Expand: -9x + 18 - 445 = 11(x - 37)", "Expand: -9x + 18 - 445 = 11x - 407", "Combine constants: -9x - 427 = 11x - 407", "Subtract 11x from both sides: -20x - 427 = -407", "Add 427 to both sides: -20x = 20", "Divide both sides by -20: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 2) - 445 = 11(x - 37)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 2, \"c\": 11, \"d\": 37, \"f\": -445, \"x\": -1}", "seed": "15284364230958377336", "semantic_fingerprint": "sha256:ac1edfac73cc8e2bed95b910714b859294dab0c574c69c6e6706148a5c3dc73b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004718", "prompt": "What is 230 / (-3) + 0 + (-274) - (-44 - 20)?", "solution_steps": ["Divide: 230 / (-3) = -230/3", "Add: -230/3 + 0 = -230/3", "Add: -230/3 + (-274) = -1052/3", "Subtract: -44 - 20 = -64", "Subtract: -1052/3 - (-64) = -860/3"], "final_answer": "-860/3", "answer_type": "rational", "kind": "expression", "math_text": "230 / (-3) + 0 + (-274) - (-44 - 20)", "variable": null, "family": "expression_5op", "shape": "(- (+ (+ (/ n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 230, \"b\": -3, \"c\": 0, \"d\": -274, \"e\": -44, \"f\": 20}", "seed": "6124530178584755022", "semantic_fingerprint": "sha256:bface6d0571d9c48b4b979bcb07e1daeed5d70a241d72b354046ce3bd5ab2ed9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004719", "prompt": "Calculate: (72 - (-70) - (541 - 55)) / 5", "solution_steps": ["Subtract: 72 - (-70) = 142", "Subtract: 541 - 55 = 486", "Subtract: 142 - 486 = -344", "Divide: -344 / 5 = -344/5"], "final_answer": "-344/5", "answer_type": "rational", "kind": "expression", "math_text": "(72 - (-70) - (541 - 55)) / 5", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": -70, \"c\": 541, \"d\": 55, \"e\": 5}", "seed": "14811230293687578913", "semantic_fingerprint": "sha256:7202f770fec7e7e9e1bccd11af630e67945f11655d69fa6fc45eec565e6b0555", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004720", "prompt": "Solve for x: 2x - 96 = -4(x + 68) + 146", "solution_steps": ["Expand: 2x - 96 = -4x - 272 + 146", "Combine constants: 2x - 96 = -4x - 126", "Add 4x to both sides: 6x - 96 = -126", "Add 96 to both sides: 6x = -30", "Divide both sides by 6: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 96 = -4(x + 68) + 146", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 96, \"c\": -4, \"d\": 68, \"f\": 146, \"x\": -5}", "seed": "8164192598943912039", "semantic_fingerprint": "sha256:754b2ff8b09bfd45f717132b16454e7141df4ac24ad1f2290030af76fdb874c4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004721", "prompt": "Compute: (-31 * 43 - 5 / (-99)) * 6", "solution_steps": ["Multiply: -31 * 43 = -1333", "Divide: 5 / (-99) = -5/99", "Subtract: -1333 - (-5/99) = -131962/99", "Multiply: (-131962/99) * 6 = -263924/33"], "final_answer": "-263924/33", "answer_type": "rational", "kind": "expression", "math_text": "(-31 * 43 - 5 / (-99)) * 6", "variable": null, "family": "expression_4op", "shape": "(* (- (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -31, \"b\": 43, \"c\": 5, \"d\": -99, \"e\": 6}", "seed": "2148221614428436856", "semantic_fingerprint": "sha256:33bc6134b0154f21f3ade3291a272891e7413337d0294be43125eee96d268992", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004722", "prompt": "Compute: -7 / 30 * 0 * (-9 - (7 - 2))", "solution_steps": ["Divide: -7 / 30 = -7/30", "Multiply: (-7/30) * 0 = 0", "Subtract: 7 - 2 = 5", "Subtract: -9 - 5 = -14", "Multiply: 0 * (-14) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-7 / 30 * 0 * (-9 - (7 - 2))", "variable": null, "family": "expression_5op", "shape": "(* (* (/ n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 30, \"c\": 0, \"d\": -9, \"e\": 7, \"f\": 2}", "seed": "13319337712220290429", "semantic_fingerprint": "sha256:74e43ec07f9a0561df7a4e41053017c72c58f8fdb04527bfc671061807862635", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004723", "prompt": "Calculate: -5 / (-16 + (-88) / 9 * (-501) / 8)", "solution_steps": ["Divide: -88 / 9 = -88/9", "Multiply: (-88/9) * (-501) = 14696/3", "Divide: (14696/3) / 8 = 1837/3", "Add: -16 + 1837/3 = 1789/3", "Divide: -5 / (1789/3) = -15/1789"], "final_answer": "-15/1789", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-16 + (-88) / 9 * (-501) / 8)", "variable": null, "family": "expression_5op", "shape": "(/ n (+ n (/ (* (/ n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -16, \"c\": -88, \"d\": 9, \"e\": -501, \"f\": 8}", "seed": "7544471507309937005", "semantic_fingerprint": "sha256:9a0b9f18e364842c90f641d125ab2b95759d925f1edca4be72a23a76bc91cbbc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004724", "prompt": "What value of x satisfies x - 28 = 5(x - 66) + 693?", "solution_steps": ["Expand: x - 28 = 5x - 330 + 693", "Combine constants: x - 28 = 5x + 363", "Subtract 5x from both sides: -4x - 28 = 363", "Add 28 to both sides: -4x = 391", "Divide both sides by -4: x = -391/4"], "final_answer": "-391/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 28 = 5(x - 66) + 693", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 5, \"c\": 66, \"d\": 693}", "seed": "7793156259426551814", "semantic_fingerprint": "sha256:092778c6ccbcd797cf2f7dace1e1ad06a14c85af61c8b54c9c2359f7354914c6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004725", "prompt": "Solve the equation 7(x + 5) - 92 = x - 15 for x.", "solution_steps": ["Expand: 7x + 35 - 92 = x - 15", "Combine constants: 7x - 57 = x - 15", "Subtract x from both sides: 6x - 57 = -15", "Add 57 to both sides: 6x = 42", "Divide both sides by 6: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 5) - 92 = x - 15", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 92, \"e\": -15, \"x\": 7}", "seed": "15479877264091287287", "semantic_fingerprint": "sha256:7609fc252ae0c0c2302430274e5ecfee4f7489db2f4a41dc4204e1f18e32dfb8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004726", "prompt": "Solve for x: 9x - 6 = 6(x + 5) + 32", "solution_steps": ["Expand: 9x - 6 = 6x + 30 + 32", "Combine constants: 9x - 6 = 6x + 62", "Subtract 6x from both sides: 3x - 6 = 62", "Add 6 to both sides: 3x = 68", "Divide both sides by 3: x = 68/3"], "final_answer": "68/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x - 6 = 6(x + 5) + 32", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": 6, \"d\": 5, \"e\": 32}", "seed": "2281002391389915893", "semantic_fingerprint": "sha256:7c036cfd317858e56bcf8862854b382a59c6b4dadfbc8559ff4e55c15f89f63b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004727", "prompt": "Compute: (130 + (-87) + (-97)) / (41 / (-59))", "solution_steps": ["Add: 130 + (-87) = 43", "Add: 43 + (-97) = -54", "Divide: 41 / (-59) = -41/59", "Divide: -54 / (-41/59) = 3186/41"], "final_answer": "3186/41", "answer_type": "rational", "kind": "expression", "math_text": "(130 + (-87) + (-97)) / (41 / (-59))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 130, \"b\": -87, \"c\": -97, \"d\": 41, \"e\": -59}", "seed": "14885861000158358445", "semantic_fingerprint": "sha256:5394b6b9eb35d6e4b9f60afcac2bfe26099c70460b974878c7c5e2c545335d6a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004728", "prompt": "What value of x satisfies 7(x - 3) = -4x - 219?", "solution_steps": ["Expand: 7x - 21 = -4x - 219", "Add 4x to both sides: 11x - 21 = -219", "Add 21 to both sides: 11x = -198", "Divide both sides by 11: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 3) = -4x - 219", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"c\": -4, \"e\": -219, \"x\": -18}", "seed": "15469690329226767555", "semantic_fingerprint": "sha256:81945b9877cf66d8cc8a83fd3be6b6a8fcfb4be303a1d18ee87b45ddda4ac736", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004729", "prompt": "Evaluate: -1 + 5 * 141 * (1 * 59)", "solution_steps": ["Multiply: 5 * 141 = 705", "Multiply: 1 * 59 = 59", "Multiply: 705 * 59 = 41595", "Add: -1 + 41595 = 41594"], "final_answer": "41594", "answer_type": "integer", "kind": "expression", "math_text": "-1 + 5 * 141 * (1 * 59)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (* n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 5, \"c\": 141, \"d\": 1, \"e\": 59}", "seed": "6872798207270767724", "semantic_fingerprint": "sha256:e61c3c0743fdd1d993665741d8eab93763ae5484b684ee39993838dbec126a01", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004730", "prompt": "Evaluate: 719 / 5 - 4 - (-5)", "solution_steps": ["Divide: 719 / 5 = 719/5", "Subtract: 719/5 - 4 = 699/5", "Subtract: 699/5 - (-5) = 724/5"], "final_answer": "724/5", "answer_type": "rational", "kind": "expression", "math_text": "719 / 5 - 4 - (-5)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 719, \"b\": 5, \"c\": 4, \"d\": -5}", "seed": "11556829533761320059", "semantic_fingerprint": "sha256:9d436a8f314da06b72e898c88a11eaab9756a388dc2ebf9fb6e5457afe154f92", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004731", "prompt": "Evaluate: -17 - (-664) - (409 - (-742)) + 7", "solution_steps": ["Subtract: -17 - (-664) = 647", "Subtract: 409 - (-742) = 1151", "Subtract: 647 - 1151 = -504", "Add: -504 + 7 = -497"], "final_answer": "-497", "answer_type": "integer", "kind": "expression", "math_text": "-17 - (-664) - (409 - (-742)) + 7", "variable": null, "family": "expression_4op", "shape": "(+ (- (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": -664, \"c\": 409, \"d\": -742, \"e\": 7}", "seed": "13142490421272317082", "semantic_fingerprint": "sha256:49f20fe5d5e146213589e7a0c906cc485bc922bfaadd2097701dda657d6bc087", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004732", "prompt": "Find x: 6(x - 68) - 83 = -3(x - 1) - 368", "solution_steps": ["Expand: 6x - 408 - 83 = -3(x - 1) - 368", "Expand: 6x - 408 - 83 = -3x + 3 - 368", "Combine constants: 6x - 491 = -3x + 3 - 368", "Combine constants: 6x - 491 = -3x - 365", "Add 3x to both sides: 9x - 491 = -365", "Add 491 to both sides: 9x = 126", "Divide both sides by 9: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 68) - 83 = -3(x - 1) - 368", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 68, \"c\": 83, \"d\": -3, \"e\": 1, \"g\": -368, \"x\": 14}", "seed": "8643563534922494214", "semantic_fingerprint": "sha256:c75b9edaa5a18141534f5ae8ddffa6cad0bb8c20766ba73b9643ee4ac6564769", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004733", "prompt": "Solve the equation 8(x + 8) + 97 = 5(x + 86) - 278 for x.", "solution_steps": ["Expand: 8x + 64 + 97 = 5(x + 86) - 278", "Expand: 8x + 64 + 97 = 5x + 430 - 278", "Combine constants: 8x + 161 = 5x + 430 - 278", "Combine constants: 8x + 161 = 5x + 152", "Subtract 5x from both sides: 3x + 161 = 152", "Subtract 161 from both sides: 3x = -9", "Divide both sides by 3: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 8) + 97 = 5(x + 86) - 278", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": 97, \"d\": 5, \"e\": 86, \"g\": -278, \"x\": -3}", "seed": "2493955226109551748", "semantic_fingerprint": "sha256:ee16d11d82ae5de6f0b9cbc3afa366f331abf14adf2eb45a77e073000968418b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004734", "prompt": "What value of x satisfies -2(x + 6) - 96 = x - 111?", "solution_steps": ["Expand: -2x - 12 - 96 = x - 111", "Combine constants: -2x - 108 = x - 111", "Subtract x from both sides: -3x - 108 = -111", "Add 108 to both sides: -3x = -3", "Divide both sides by -3: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 6) - 96 = x - 111", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 6, \"c\": 96, \"e\": -111, \"x\": 1}", "seed": "12154141001132138137", "semantic_fingerprint": "sha256:72397e02845b2ebad2f40c588907c8da96aec65d762fb57fede5e4c7f8bb5fb6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004735", "prompt": "What is 28 + (-7) - (-24 + 1)?", "solution_steps": ["Add: 28 + (-7) = 21", "Add: -24 + 1 = -23", "Subtract: 21 - (-23) = 44"], "final_answer": "44", "answer_type": "integer", "kind": "expression", "math_text": "28 + (-7) - (-24 + 1)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -7, \"c\": -24, \"d\": 1}", "seed": "11561762804530123962", "semantic_fingerprint": "sha256:bb22251acbc92c721a7eaa237f272bc6ccd03534b982860b000c88dc5bf6a1ef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004736", "prompt": "What is -75 * (-937 / 726) - (-90) * 5 / (-228)?", "solution_steps": ["Divide: -937 / 726 = -937/726", "Multiply: -75 * (-937/726) = 23425/242", "Multiply: -90 * 5 = -450", "Divide: -450 / (-228) = 75/38", "Subtract: 23425/242 - 75/38 = 218000/2299"], "final_answer": "218000/2299", "answer_type": "rational", "kind": "expression", "math_text": "-75 * (-937 / 726) - (-90) * 5 / (-228)", "variable": null, "family": "expression_5op", "shape": "(- (* n (/ n n)) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -937, \"c\": 726, \"d\": -90, \"e\": 5, \"f\": -228}", "seed": "2024270908186984665", "semantic_fingerprint": "sha256:925fe6e67c0537a7b970e623cd35ca80049aaeee86e751840d65e103d9277a70", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004737", "prompt": "What is -6 - (-69 + (-8 + 556)) * (-12 + 216)?", "solution_steps": ["Add: -8 + 556 = 548", "Add: -69 + 548 = 479", "Add: -12 + 216 = 204", "Multiply: 479 * 204 = 97716", "Subtract: -6 - 97716 = -97722"], "final_answer": "-97722", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (-69 + (-8 + 556)) * (-12 + 216)", "variable": null, "family": "expression_5op", "shape": "(- n (* (+ n (+ n n)) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -69, \"c\": -8, \"d\": 556, \"e\": -12, \"f\": 216}", "seed": "17528071677858662871", "semantic_fingerprint": "sha256:4b7d01efeb0525d281b87909b8994dc4837180cb2cc148ea9952e6f5a6edac3c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004738", "prompt": "Evaluate: (693 + (-562)) * (69 - 546 - (-98))", "solution_steps": ["Add: 693 + (-562) = 131", "Subtract: 69 - 546 = -477", "Subtract: -477 - (-98) = -379", "Multiply: 131 * (-379) = -49649"], "final_answer": "-49649", "answer_type": "integer", "kind": "expression", "math_text": "(693 + (-562)) * (69 - 546 - (-98))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 693, \"b\": -562, \"c\": 69, \"d\": 546, \"e\": -98}", "seed": "2191880679573835882", "semantic_fingerprint": "sha256:ca7d77787eefeedaab47cea4628e70e9b37fb79b8fb008143b1a21e45760d1cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004739", "prompt": "Solve for x: 10(x - 87) - 84 = -6(x - 8)", "solution_steps": ["Expand: 10x - 870 - 84 = -6(x - 8)", "Expand: 10x - 870 - 84 = -6x + 48", "Combine constants: 10x - 954 = -6x + 48", "Add 6x to both sides: 16x - 954 = 48", "Add 954 to both sides: 16x = 1002", "Divide both sides by 16: x = 501/8"], "final_answer": "501/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 87) - 84 = -6(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 87, \"c\": 84, \"d\": -6, \"e\": 8}", "seed": "155623875790430196", "semantic_fingerprint": "sha256:e1b4715a5eab56be5412af28487d5a2aeded79c89b8a0a98a72d745f5902cfc9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004740", "prompt": "Evaluate: (-4 + 583) / (-930 - (-94) - (-1))", "solution_steps": ["Add: -4 + 583 = 579", "Subtract: -930 - (-94) = -836", "Subtract: -836 - (-1) = -835", "Divide: 579 / (-835) = -579/835"], "final_answer": "-579/835", "answer_type": "rational", "kind": "expression", "math_text": "(-4 + 583) / (-930 - (-94) - (-1))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 583, \"c\": -930, \"d\": -94, \"e\": -1}", "seed": "1224381314503881456", "semantic_fingerprint": "sha256:7e88de63acc62a77ab83a230e73a04634fc340a6f33a98ecb956fe6cb404bdfd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004741", "prompt": "Calculate: 5 - (7 * 892 + (-507))", "solution_steps": ["Multiply: 7 * 892 = 6244", "Add: 6244 + (-507) = 5737", "Subtract: 5 - 5737 = -5732"], "final_answer": "-5732", "answer_type": "integer", "kind": "expression", "math_text": "5 - (7 * 892 + (-507))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": 892, \"d\": -507}", "seed": "648172779698553576", "semantic_fingerprint": "sha256:d1b0ad31a076526ea6da0aa843c5f0b8a1bee8e83f48bda0a21985f228687dd6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004742", "prompt": "Calculate: (711 - (-63) + 144) * (-6)", "solution_steps": ["Subtract: 711 - (-63) = 774", "Add: 774 + 144 = 918", "Multiply: 918 * (-6) = -5508"], "final_answer": "-5508", "answer_type": "integer", "kind": "expression", "math_text": "(711 - (-63) + 144) * (-6)", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 711, \"b\": -63, \"c\": 144, \"d\": -6}", "seed": "2171647979308806169", "semantic_fingerprint": "sha256:f8ec879a04a4d2316d4bb5e3c8a9c0254b79c566bba78fb7f6dc6a56610e776e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004743", "prompt": "What value of x satisfies 7(x - 3) + 85 = 9(x + 94) - 937?", "solution_steps": ["Expand: 7x - 21 + 85 = 9(x + 94) - 937", "Expand: 7x - 21 + 85 = 9x + 846 - 937", "Combine constants: 7x + 64 = 9x + 846 - 937", "Combine constants: 7x + 64 = 9x - 91", "Subtract 9x from both sides: -2x + 64 = -91", "Subtract 64 from both sides: -2x = -155", "Divide both sides by -2: x = 155/2"], "final_answer": "155/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 3) + 85 = 9(x + 94) - 937", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"c\": 85, \"d\": 9, \"e\": 94, \"f\": 937}", "seed": "8394736099557216516", "semantic_fingerprint": "sha256:eba5c9cfa6cbb40e35c9944761b14f0eb6976cdbe69f1f4f744e35a61c5925d8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004744", "prompt": "What value of x satisfies 4(x - 94) = 10x - 412?", "solution_steps": ["Expand: 4x - 376 = 10x - 412", "Subtract 10x from both sides: -6x - 376 = -412", "Add 376 to both sides: -6x = -36", "Divide both sides by -6: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 94) = 10x - 412", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 94, \"c\": 10, \"e\": -412, \"x\": 6}", "seed": "3659361915463246656", "semantic_fingerprint": "sha256:b9d8e74875cc15485164326edea9fd50c0950647411afd8349bd747d09b423c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004745", "prompt": "What is -20 / (-439 * (-4) + (-51 + (-7) + 2))?", "solution_steps": ["Multiply: -439 * (-4) = 1756", "Add: -51 + (-7) = -58", "Add: -58 + 2 = -56", "Add: 1756 + (-56) = 1700", "Divide: -20 / 1700 = -1/85"], "final_answer": "-1/85", "answer_type": "rational", "kind": "expression", "math_text": "-20 / (-439 * (-4) + (-51 + (-7) + 2))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (* n n) (+ (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": -439, \"c\": -4, \"d\": -51, \"e\": -7, \"f\": 2}", "seed": "15854025402444337662", "semantic_fingerprint": "sha256:334babb13edd4895ef55dfaf6f18eb90a3600535c76f56721c30821aba0704a4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004746", "prompt": "What value of x satisfies -3(x - 2) + 5 = 3(x + 89) - 166?", "solution_steps": ["Expand: -3x + 6 + 5 = 3(x + 89) - 166", "Expand: -3x + 6 + 5 = 3x + 267 - 166", "Combine constants: -3x + 11 = 3x + 267 - 166", "Combine constants: -3x + 11 = 3x + 101", "Subtract 3x from both sides: -6x + 11 = 101", "Subtract 11 from both sides: -6x = 90", "Divide both sides by -6: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 2) + 5 = 3(x + 89) - 166", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 2, \"c\": 5, \"d\": 3, \"e\": 89, \"g\": -166, \"x\": -15}", "seed": "1728676237937084542", "semantic_fingerprint": "sha256:8714292c4179cfc7af5fce432062a0e24088b524fbbdf9f2492751c00fd7cb90", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004747", "prompt": "What value of x satisfies 7(x - 2) - 427 = -10(x - 20) - 4?", "solution_steps": ["Expand: 7x - 14 - 427 = -10(x - 20) - 4", "Expand: 7x - 14 - 427 = -10x + 200 - 4", "Combine constants: 7x - 441 = -10x + 200 - 4", "Combine constants: 7x - 441 = -10x + 196", "Add 10x to both sides: 17x - 441 = 196", "Add 441 to both sides: 17x = 637", "Divide both sides by 17: x = 637/17"], "final_answer": "637/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 2) - 427 = -10(x - 20) - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": 427, \"d\": -10, \"e\": 20, \"f\": 4}", "seed": "1055591565198848080", "semantic_fingerprint": "sha256:f9177b4de37d57e481953c2c2ffa219b1a6af251f6321e40c281685473cf7216", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004748", "prompt": "Solve the equation 8(x - 2) = 5x - 82 for x.", "solution_steps": ["Expand: 8x - 16 = 5x - 82", "Subtract 5x from both sides: 3x - 16 = -82", "Add 16 to both sides: 3x = -66", "Divide both sides by 3: x = -22"], "final_answer": "-22", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 2) = 5x - 82", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 5, \"d\": 82}", "seed": "3031676663886865549", "semantic_fingerprint": "sha256:09d9dd14c3f68742585d60f8a53cb7be613c3be01cc31cae5c23bcff4c8d0cdb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004749", "prompt": "Evaluate: -22 * (-10 - (-1) - 8) - (-248) - 56", "solution_steps": ["Subtract: -10 - (-1) = -9", "Subtract: -9 - 8 = -17", "Multiply: -22 * (-17) = 374", "Subtract: 374 - (-248) = 622", "Subtract: 622 - 56 = 566"], "final_answer": "566", "answer_type": "integer", "kind": "expression", "math_text": "-22 * (-10 - (-1) - 8) - (-248) - 56", "variable": null, "family": "expression_5op", "shape": "(- (- (* n (- (- n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": -10, \"c\": -1, \"d\": 8, \"e\": -248, \"f\": 56}", "seed": "4359759740557957453", "semantic_fingerprint": "sha256:2a5c79ed0a19535eb464c478fd644a523a5127d0db021ee235c16971b2fdbd6b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004750", "prompt": "Solve the equation 2(x - 97) - 25 = -10(x - 4) - 415 for x.", "solution_steps": ["Expand: 2x - 194 - 25 = -10(x - 4) - 415", "Expand: 2x - 194 - 25 = -10x + 40 - 415", "Combine constants: 2x - 219 = -10x + 40 - 415", "Combine constants: 2x - 219 = -10x - 375", "Add 10x to both sides: 12x - 219 = -375", "Add 219 to both sides: 12x = -156", "Divide both sides by 12: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 97) - 25 = -10(x - 4) - 415", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 97, \"c\": 25, \"d\": -10, \"e\": 4, \"g\": -415, \"x\": -13}", "seed": "6202211646512867681", "semantic_fingerprint": "sha256:857b187de30671437bfef3594028e43b9fa48c1b5ab8131afe1957f8277c20fd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004751", "prompt": "What is -90 * (1 + 1 / 46) / (-338)?", "solution_steps": ["Divide: 1 / 46 = 1/46", "Add: 1 + 1/46 = 47/46", "Multiply: -90 * (47/46) = -2115/23", "Divide: (-2115/23) / (-338) = 2115/7774"], "final_answer": "2115/7774", "answer_type": "rational", "kind": "expression", "math_text": "-90 * (1 + 1 / 46) / (-338)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (+ n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": 1, \"c\": 1, \"d\": 46, \"e\": -338}", "seed": "12964131929863862016", "semantic_fingerprint": "sha256:c6e0f148be84138d4741c286bbdc5844ef72479ea1df7d5ee940937ce6eac681", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004752", "prompt": "Evaluate: -9 / 56 - 0 - 8", "solution_steps": ["Divide: -9 / 56 = -9/56", "Subtract: -9/56 - 0 = -9/56", "Subtract: -9/56 - 8 = -457/56"], "final_answer": "-457/56", "answer_type": "rational", "kind": "expression", "math_text": "-9 / 56 - 0 - 8", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 56, \"c\": 0, \"d\": 8}", "seed": "7798028815373359492", "semantic_fingerprint": "sha256:42fb563b315ecaa71299704aca8ee196d512c53932d272a895b3503a6af9c42b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004753", "prompt": "Compute: 5 - (3 + 85) + 7", "solution_steps": ["Add: 3 + 85 = 88", "Subtract: 5 - 88 = -83", "Add: -83 + 7 = -76"], "final_answer": "-76", "answer_type": "integer", "kind": "expression", "math_text": "5 - (3 + 85) + 7", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 85, \"d\": 7}", "seed": "7410606842750718117", "semantic_fingerprint": "sha256:bc4bf4e0457d01a6304ff1b9a1d5da0bb272dae85b321dc869dd2c2179536365", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004754", "prompt": "Find x: -9(x - 7) - 92 = 5(x - 82) - 80", "solution_steps": ["Expand: -9x + 63 - 92 = 5(x - 82) - 80", "Expand: -9x + 63 - 92 = 5x - 410 - 80", "Combine constants: -9x - 29 = 5x - 410 - 80", "Combine constants: -9x - 29 = 5x - 490", "Subtract 5x from both sides: -14x - 29 = -490", "Add 29 to both sides: -14x = -461", "Divide both sides by -14: x = 461/14"], "final_answer": "461/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 7) - 92 = 5(x - 82) - 80", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 7, \"c\": 92, \"d\": 5, \"e\": 82, \"f\": 80}", "seed": "18337656140000810519", "semantic_fingerprint": "sha256:84dca75f304e123fedb25b35c9c0f249bbf6564d79f3544eb15dfa09dc3a9e22", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004755", "prompt": "What is 51 - 716 + (50 - 0 * 836 * 340)?", "solution_steps": ["Subtract: 51 - 716 = -665", "Multiply: 0 * 836 = 0", "Multiply: 0 * 340 = 0", "Subtract: 50 - 0 = 50", "Add: -665 + 50 = -615"], "final_answer": "-615", "answer_type": "integer", "kind": "expression", "math_text": "51 - 716 + (50 - 0 * 836 * 340)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (- n (* (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 716, \"c\": 50, \"d\": 0, \"e\": 836, \"f\": 340}", "seed": "15465175733502473173", "semantic_fingerprint": "sha256:04aea857ea14408ee13a96d4d9fedf0a868181bec1422d2c094f85d40543928c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004756", "prompt": "Compute: 5 + (35 + 6) - (-3)", "solution_steps": ["Add: 35 + 6 = 41", "Add: 5 + 41 = 46", "Subtract: 46 - (-3) = 49"], "final_answer": "49", "answer_type": "integer", "kind": "expression", "math_text": "5 + (35 + 6) - (-3)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 35, \"c\": 6, \"d\": -3}", "seed": "2624927044031193517", "semantic_fingerprint": "sha256:1e15182bdc070cd8c1f5a4ea323e58c4069cd40c710f8b214000ac4ab09c07d8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004757", "prompt": "What is 646 / (-82 * 36) + (19 + (-127))?", "solution_steps": ["Multiply: -82 * 36 = -2952", "Divide: 646 / (-2952) = -323/1476", "Add: 19 + (-127) = -108", "Add: -323/1476 + (-108) = -159731/1476"], "final_answer": "-159731/1476", "answer_type": "rational", "kind": "expression", "math_text": "646 / (-82 * 36) + (19 + (-127))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 646, \"b\": -82, \"c\": 36, \"d\": 19, \"e\": -127}", "seed": "15698527355968632664", "semantic_fingerprint": "sha256:4e207c01d56a76c54d9f6997e7c59eff10674fd28dc9bc1f88aa9b6edd2ebcb2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004758", "prompt": "Evaluate: 73 * 40 / (97 / (-5) - 37) * (-8)", "solution_steps": ["Multiply: 73 * 40 = 2920", "Divide: 97 / (-5) = -97/5", "Subtract: -97/5 - 37 = -282/5", "Divide: 2920 / (-282/5) = -7300/141", "Multiply: (-7300/141) * (-8) = 58400/141"], "final_answer": "58400/141", "answer_type": "rational", "kind": "expression", "math_text": "73 * 40 / (97 / (-5) - 37) * (-8)", "variable": null, "family": "expression_5op", "shape": "(* (/ (* n n) (- (/ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 40, \"c\": 97, \"d\": -5, \"e\": 37, \"f\": -8}", "seed": "14237385229788234943", "semantic_fingerprint": "sha256:4b1a839593fb3b151824eeba4923a904eccc77d6676a995f44b5b7d6d8288f46", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004759", "prompt": "What value of x satisfies -2x - 85 = -5(x + 73) + 3?", "solution_steps": ["Expand: -2x - 85 = -5x - 365 + 3", "Combine constants: -2x - 85 = -5x - 362", "Add 5x to both sides: 3x - 85 = -362", "Add 85 to both sides: 3x = -277", "Divide both sides by 3: x = -277/3"], "final_answer": "-277/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2x - 85 = -5(x + 73) + 3", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 85, \"c\": -5, \"d\": 73, \"e\": 3}", "seed": "15103081111546660764", "semantic_fingerprint": "sha256:cce97adc52bc20c66a21db16eaf5b94ef339fded4e84a555623639706b342571", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004760", "prompt": "Evaluate: -5 * (-8 * (-19) * (-1 - (-58)))", "solution_steps": ["Multiply: -8 * (-19) = 152", "Subtract: -1 - (-58) = 57", "Multiply: 152 * 57 = 8664", "Multiply: -5 * 8664 = -43320"], "final_answer": "-43320", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-8 * (-19) * (-1 - (-58)))", "variable": null, "family": "expression_4op", "shape": "(* n (* (* n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -8, \"c\": -19, \"d\": -1, \"e\": -58}", "seed": "12299973624356100204", "semantic_fingerprint": "sha256:ba5aa60b6e35b235fdf7095c4a59c8aac8a48b23684bbbf1dca805df828207dd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004761", "prompt": "What is -182 + (-60) / 81 + 237 * 19?", "solution_steps": ["Divide: -60 / 81 = -20/27", "Add: -182 + (-20/27) = -4934/27", "Multiply: 237 * 19 = 4503", "Add: -4934/27 + 4503 = 116647/27"], "final_answer": "116647/27", "answer_type": "rational", "kind": "expression", "math_text": "-182 + (-60) / 81 + 237 * 19", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -182, \"b\": -60, \"c\": 81, \"d\": 237, \"e\": 19}", "seed": "16309922110029166863", "semantic_fingerprint": "sha256:1f442149bbab155d09f3085e9488cd2b37e819261d0e07548662f5b5dd1bf385", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004762", "prompt": "Find x: 7(x - 3) - 85 = 2(x - 48)", "solution_steps": ["Expand: 7x - 21 - 85 = 2(x - 48)", "Expand: 7x - 21 - 85 = 2x - 96", "Combine constants: 7x - 106 = 2x - 96", "Subtract 2x from both sides: 5x - 106 = -96", "Add 106 to both sides: 5x = 10", "Divide both sides by 5: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 3) - 85 = 2(x - 48)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"c\": 2, \"d\": 48, \"f\": -85, \"x\": 2}", "seed": "9192917548528372808", "semantic_fingerprint": "sha256:89484167183c883bff9b30a991b759d45c384a8104a65183116cae7a9fc483a5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004763", "prompt": "Solve the equation -12(x - 1) - 224 = 4(x - 97) for x.", "solution_steps": ["Expand: -12x + 12 - 224 = 4(x - 97)", "Expand: -12x + 12 - 224 = 4x - 388", "Combine constants: -12x - 212 = 4x - 388", "Subtract 4x from both sides: -16x - 212 = -388", "Add 212 to both sides: -16x = -176", "Divide both sides by -16: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 1) - 224 = 4(x - 97)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 1, \"c\": 4, \"d\": 97, \"f\": -224, \"x\": 11}", "seed": "3078896811746241609", "semantic_fingerprint": "sha256:61e0f3d82cf90f150d0fdde198efb6be9ba4a75eea63450b84ef8419467374e1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004764", "prompt": "Solve the equation -6(x + 58) + 1 = 9(x + 94) - 876 for x.", "solution_steps": ["Expand: -6x - 348 + 1 = 9(x + 94) - 876", "Expand: -6x - 348 + 1 = 9x + 846 - 876", "Combine constants: -6x - 347 = 9x + 846 - 876", "Combine constants: -6x - 347 = 9x - 30", "Subtract 9x from both sides: -15x - 347 = -30", "Add 347 to both sides: -15x = 317", "Divide both sides by -15: x = -317/15"], "final_answer": "-317/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x + 58) + 1 = 9(x + 94) - 876", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 58, \"c\": 1, \"d\": 9, \"e\": 94, \"f\": 876}", "seed": "9586101042980093658", "semantic_fingerprint": "sha256:ae5a486e2bd1ce9ffc04eeb2321dd26ad14f30015d5a520d18fb91f035782df6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004765", "prompt": "Solve the equation 9(x - 45) = 11x - 367 for x.", "solution_steps": ["Expand: 9x - 405 = 11x - 367", "Subtract 11x from both sides: -2x - 405 = -367", "Add 405 to both sides: -2x = 38", "Divide both sides by -2: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 45) = 11x - 367", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 45, \"c\": 11, \"e\": -367, \"x\": -19}", "seed": "13420597759708243544", "semantic_fingerprint": "sha256:6f87f9ed144d131a0d45ac856f652d9d288584e0818e40174a1e185558d12469", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004766", "prompt": "What is -2 * (-6 * (-719)) - 50?", "solution_steps": ["Multiply: -6 * (-719) = 4314", "Multiply: -2 * 4314 = -8628", "Subtract: -8628 - 50 = -8678"], "final_answer": "-8678", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-6 * (-719)) - 50", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -6, \"c\": -719, \"d\": 50}", "seed": "16097176149785106694", "semantic_fingerprint": "sha256:5297d7b6c94695f3b7b2d5e8d1798216bb6ce2143abfd522db373df5550a0d64", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004767", "prompt": "Compute: -7 / (-4 / (11 * 81))", "solution_steps": ["Multiply: 11 * 81 = 891", "Divide: -4 / 891 = -4/891", "Divide: -7 / (-4/891) = 6237/4"], "final_answer": "6237/4", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-4 / (11 * 81))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -4, \"c\": 11, \"d\": 81}", "seed": "10111585185863005608", "semantic_fingerprint": "sha256:059fce607e677a866f52c3294492d5d1604bb64a1203f16898f8c710f05c9755", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004768", "prompt": "Compute: 0 * (-43) * (-918) * (-759) - (-49) * 68", "solution_steps": ["Multiply: 0 * (-43) = 0", "Multiply: 0 * (-918) = 0", "Multiply: 0 * (-759) = 0", "Multiply: -49 * 68 = -3332", "Subtract: 0 - (-3332) = 3332"], "final_answer": "3332", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-43) * (-918) * (-759) - (-49) * 68", "variable": null, "family": "expression_5op", "shape": "(- (* (* (* n n) n) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -43, \"c\": -918, \"d\": -759, \"e\": -49, \"f\": 68}", "seed": "12918566702059772299", "semantic_fingerprint": "sha256:dc0936577f1ec312dbf2ef690a5dee6948a478d5d9c3e6985dfefa4b9ed9cbbe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004769", "prompt": "Compute: 221 * (-34) / (-60 + 35)", "solution_steps": ["Multiply: 221 * (-34) = -7514", "Add: -60 + 35 = -25", "Divide: -7514 / (-25) = 7514/25"], "final_answer": "7514/25", "answer_type": "rational", "kind": "expression", "math_text": "221 * (-34) / (-60 + 35)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 221, \"b\": -34, \"c\": -60, \"d\": 35}", "seed": "16587774897066763643", "semantic_fingerprint": "sha256:b2e1f58a0c732c4752a9b44976db0419d4c0dbe74fc44d93ac687337f9e21cd7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004770", "prompt": "What is -175 - (-7 + 28) + (-822)?", "solution_steps": ["Add: -7 + 28 = 21", "Subtract: -175 - 21 = -196", "Add: -196 + (-822) = -1018"], "final_answer": "-1018", "answer_type": "integer", "kind": "expression", "math_text": "-175 - (-7 + 28) + (-822)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -175, \"b\": -7, \"c\": 28, \"d\": -822}", "seed": "11833027996453053099", "semantic_fingerprint": "sha256:4e1e3b6c3d960a1f75bb72a3f8d7dc52ad12f8f32c2a467ace14a55dae7aa7ba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004771", "prompt": "Compute: -5 + (-2) - (-17 + 2)", "solution_steps": ["Add: -5 + (-2) = -7", "Add: -17 + 2 = -15", "Subtract: -7 - (-15) = 8"], "final_answer": "8", "answer_type": "integer", "kind": "expression", "math_text": "-5 + (-2) - (-17 + 2)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -2, \"c\": -17, \"d\": 2}", "seed": "4641781029708837114", "semantic_fingerprint": "sha256:05317a68ca26b1fe118691b316e749f1e23d89a41b07697eb0167746322e7ada", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004772", "prompt": "What value of x satisfies x - 569 = 8(x - 7) + 5?", "solution_steps": ["Expand: x - 569 = 8x - 56 + 5", "Combine constants: x - 569 = 8x - 51", "Subtract 8x from both sides: -7x - 569 = -51", "Add 569 to both sides: -7x = 518", "Divide both sides by -7: x = -74"], "final_answer": "-74", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 569 = 8(x - 7) + 5", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 569, \"b\": 8, \"c\": 7, \"d\": 5}", "seed": "1407870257399301641", "semantic_fingerprint": "sha256:cc8b575fd90ba2b3302642c01b3b53f0810932116a45af70526624387a8bc7cd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004773", "prompt": "Calculate: -1 - (-4 + (0 - (-1)))", "solution_steps": ["Subtract: 0 - (-1) = 1", "Add: -4 + 1 = -3", "Subtract: -1 - (-3) = 2"], "final_answer": "2", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (-4 + (0 - (-1)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -4, \"c\": 0, \"d\": -1}", "seed": "16454529790869196166", "semantic_fingerprint": "sha256:3250c509fd6ae77669d2a6797eef39e1fa0938501a4be3d73e7d6c465c7f42f4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004774", "prompt": "Compute: 396 / (-735 / (63 * (-809)))", "solution_steps": ["Multiply: 63 * (-809) = -50967", "Divide: -735 / (-50967) = 35/2427", "Divide: 396 / (35/2427) = 961092/35"], "final_answer": "961092/35", "answer_type": "rational", "kind": "expression", "math_text": "396 / (-735 / (63 * (-809)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 396, \"b\": -735, \"c\": 63, \"d\": -809}", "seed": "10851851276686770122", "semantic_fingerprint": "sha256:ba9382b5bf637fc63e77c5a5b04a10596593adc0a167ac75ebbf61a2e030a261", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004775", "prompt": "What value of x satisfies -7(x - 8) - 467 = 9(x - 51)?", "solution_steps": ["Expand: -7x + 56 - 467 = 9(x - 51)", "Expand: -7x + 56 - 467 = 9x - 459", "Combine constants: -7x - 411 = 9x - 459", "Subtract 9x from both sides: -16x - 411 = -459", "Add 411 to both sides: -16x = -48", "Divide both sides by -16: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 8) - 467 = 9(x - 51)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 8, \"c\": 9, \"d\": 51, \"f\": -467, \"x\": 3}", "seed": "17482125329475913069", "semantic_fingerprint": "sha256:fe63b09f38a7b0045813f74052c2cd21ef021095c19184c416bfa5ddb20478e7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004776", "prompt": "Compute: 22 * (-76) - (-556 + 856) + (4 + 5)", "solution_steps": ["Multiply: 22 * (-76) = -1672", "Add: -556 + 856 = 300", "Subtract: -1672 - 300 = -1972", "Add: 4 + 5 = 9", "Add: -1972 + 9 = -1963"], "final_answer": "-1963", "answer_type": "integer", "kind": "expression", "math_text": "22 * (-76) - (-556 + 856) + (4 + 5)", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": -76, \"c\": -556, \"d\": 856, \"e\": 4, \"f\": 5}", "seed": "10707509247277539834", "semantic_fingerprint": "sha256:732dc0d72ca636aeb597c1f98144d148a51ab9e8e18e907547e64f4535388b8a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004777", "prompt": "Solve for x: -5(x + 9) + 6 = 2(x + 1) - 13", "solution_steps": ["Expand: -5x - 45 + 6 = 2(x + 1) - 13", "Expand: -5x - 45 + 6 = 2x + 2 - 13", "Combine constants: -5x - 39 = 2x + 2 - 13", "Combine constants: -5x - 39 = 2x - 11", "Subtract 2x from both sides: -7x - 39 = -11", "Add 39 to both sides: -7x = 28", "Divide both sides by -7: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 9) + 6 = 2(x + 1) - 13", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 9, \"c\": 6, \"d\": 2, \"e\": 1, \"g\": -13, \"x\": -4}", "seed": "9127611863962151151", "semantic_fingerprint": "sha256:4484c8d9e4f0047b164b396c6aa4a9a6b07a7085115c0e962449d72473ff7536", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004778", "prompt": "What is 39 / 133 * 1 * (-54) * (-474)?", "solution_steps": ["Divide: 39 / 133 = 39/133", "Multiply: (39/133) * 1 = 39/133", "Multiply: (39/133) * (-54) = -2106/133", "Multiply: (-2106/133) * (-474) = 998244/133"], "final_answer": "998244/133", "answer_type": "rational", "kind": "expression", "math_text": "39 / 133 * 1 * (-54) * (-474)", "variable": null, "family": "expression_4op", "shape": "(* (* (* (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 133, \"c\": 1, \"d\": -54, \"e\": -474}", "seed": "11122405351930590580", "semantic_fingerprint": "sha256:d2bdb4eeda575593c2aefe8a08d06ea0e76502720719d658dc895b64be87fc1f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004779", "prompt": "What value of x satisfies -9(x + 66) - 1 = x - 745?", "solution_steps": ["Expand: -9x - 594 - 1 = x - 745", "Combine constants: -9x - 595 = x - 745", "Subtract x from both sides: -10x - 595 = -745", "Add 595 to both sides: -10x = -150", "Divide both sides by -10: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 66) - 1 = x - 745", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 66, \"c\": 1, \"e\": -745, \"x\": 15}", "seed": "1688492128920398634", "semantic_fingerprint": "sha256:6cf5ddb6869f060f8ac4e42e195ddd7de773714d5809658a4aeada185a02e054", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004780", "prompt": "What value of x satisfies -11(x - 38) + 19 = 7(x - 8)?", "solution_steps": ["Expand: -11x + 418 + 19 = 7(x - 8)", "Expand: -11x + 418 + 19 = 7x - 56", "Combine constants: -11x + 437 = 7x - 56", "Subtract 7x from both sides: -18x + 437 = -56", "Subtract 437 from both sides: -18x = -493", "Divide both sides by -18: x = 493/18"], "final_answer": "493/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 38) + 19 = 7(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 38, \"c\": 19, \"d\": 7, \"e\": 8}", "seed": "8761622467596178129", "semantic_fingerprint": "sha256:6dccf3090ce6ebda8716a7d0cefb92c1d2020196c2ef549af035fd76fa6ef993", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004781", "prompt": "Find x: -6(x - 22) - 5 = 11(x - 596)", "solution_steps": ["Expand: -6x + 132 - 5 = 11(x - 596)", "Expand: -6x + 132 - 5 = 11x - 6556", "Combine constants: -6x + 127 = 11x - 6556", "Subtract 11x from both sides: -17x + 127 = -6556", "Subtract 127 from both sides: -17x = -6683", "Divide both sides by -17: x = 6683/17"], "final_answer": "6683/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 22) - 5 = 11(x - 596)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 22, \"c\": 5, \"d\": 11, \"e\": 596}", "seed": "9855486965758223321", "semantic_fingerprint": "sha256:679c8329a92e9e213b0fbda725066fe4cf3122e50fe0971da274829185ad1dad", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004782", "prompt": "What is 312 * (-6 / (-328)) + (361 - 516)?", "solution_steps": ["Divide: -6 / (-328) = 3/164", "Multiply: 312 * (3/164) = 234/41", "Subtract: 361 - 516 = -155", "Add: 234/41 + (-155) = -6121/41"], "final_answer": "-6121/41", "answer_type": "rational", "kind": "expression", "math_text": "312 * (-6 / (-328)) + (361 - 516)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 312, \"b\": -6, \"c\": -328, \"d\": 361, \"e\": 516}", "seed": "3346578523744899687", "semantic_fingerprint": "sha256:70d79c3d534a74e3f9af85880efa3a76fdacc0050e7d89208982901626bef861", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004783", "prompt": "Find x: -5(x + 9) + 8 = -7(x + 1) - 24", "solution_steps": ["Expand: -5x - 45 + 8 = -7(x + 1) - 24", "Expand: -5x - 45 + 8 = -7x - 7 - 24", "Combine constants: -5x - 37 = -7x - 7 - 24", "Combine constants: -5x - 37 = -7x - 31", "Add 7x to both sides: 2x - 37 = -31", "Add 37 to both sides: 2x = 6", "Divide both sides by 2: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 9) + 8 = -7(x + 1) - 24", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 9, \"c\": 8, \"d\": -7, \"e\": 1, \"g\": -24, \"x\": 3}", "seed": "13315042896481559718", "semantic_fingerprint": "sha256:edf2a5a7c6814a0100eed0692faf9dfe554d0b47caf53aa41408d155bf589dca", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004784", "prompt": "What value of x satisfies x - 34 = 5(x - 5) + 67?", "solution_steps": ["Expand: x - 34 = 5x - 25 + 67", "Combine constants: x - 34 = 5x + 42", "Subtract 5x from both sides: -4x - 34 = 42", "Add 34 to both sides: -4x = 76", "Divide both sides by -4: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 34 = 5(x - 5) + 67", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": 5, \"c\": 5, \"e\": 67, \"x\": -19}", "seed": "16705133828750473215", "semantic_fingerprint": "sha256:3b7c85719669f8af447a32187c7a4734397a9d7f4740a7641b73b0c4fcd7f58f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004785", "prompt": "Solve for x: 3(x - 110) + 510 = -10(x - 18)", "solution_steps": ["Expand: 3x - 330 + 510 = -10(x - 18)", "Expand: 3x - 330 + 510 = -10x + 180", "Combine constants: 3x + 180 = -10x + 180", "Add 10x to both sides: 13x + 180 = 180", "Subtract 180 from both sides: 13x = 0", "Divide both sides by 13: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 110) + 510 = -10(x - 18)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 110, \"c\": -10, \"d\": 18, \"f\": 510, \"x\": 0}", "seed": "2203851807044039256", "semantic_fingerprint": "sha256:af1695fd4c5e423f181e623373abd9d6c9078ea2595c0d43dd9638f1b6baf458", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004786", "prompt": "What value of x satisfies -10(x - 10) - 19 = 3(x - 9) - 9?", "solution_steps": ["Expand: -10x + 100 - 19 = 3(x - 9) - 9", "Expand: -10x + 100 - 19 = 3x - 27 - 9", "Combine constants: -10x + 81 = 3x - 27 - 9", "Combine constants: -10x + 81 = 3x - 36", "Subtract 3x from both sides: -13x + 81 = -36", "Subtract 81 from both sides: -13x = -117", "Divide both sides by -13: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 10) - 19 = 3(x - 9) - 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 10, \"c\": 19, \"d\": 3, \"e\": 9, \"g\": -9, \"x\": 9}", "seed": "3123252876955844716", "semantic_fingerprint": "sha256:8bfb69e6c9b75628c4eca41a3bf14fa31caf1de7aa32b877fa7cdc4c0941af4d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004787", "prompt": "Solve for x: -8(x - 4) - 166 = 6(x - 3) - 186", "solution_steps": ["Expand: -8x + 32 - 166 = 6(x - 3) - 186", "Expand: -8x + 32 - 166 = 6x - 18 - 186", "Combine constants: -8x - 134 = 6x - 18 - 186", "Combine constants: -8x - 134 = 6x - 204", "Subtract 6x from both sides: -14x - 134 = -204", "Add 134 to both sides: -14x = -70", "Divide both sides by -14: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 4) - 166 = 6(x - 3) - 186", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 4, \"c\": 166, \"d\": 6, \"e\": 3, \"g\": -186, \"x\": 5}", "seed": "6919725446055100198", "semantic_fingerprint": "sha256:5cb3e307866c81f70212b1445e2f3e0ad0fe88172bc6f71ba72185638ec67aad", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004788", "prompt": "Calculate: 4 - 0 - (-56 / 3 + (-40))", "solution_steps": ["Subtract: 4 - 0 = 4", "Divide: -56 / 3 = -56/3", "Add: -56/3 + (-40) = -176/3", "Subtract: 4 - (-176/3) = 188/3"], "final_answer": "188/3", "answer_type": "rational", "kind": "expression", "math_text": "4 - 0 - (-56 / 3 + (-40))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 0, \"c\": -56, \"d\": 3, \"e\": -40}", "seed": "10590187556952132705", "semantic_fingerprint": "sha256:7b812775e8a73b8647a1d3af892b0a89362c35c9b5843eecf6820c287c8c330d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004789", "prompt": "What is -416 / (-57) / (8 * (-4)) - 741?", "solution_steps": ["Divide: -416 / (-57) = 416/57", "Multiply: 8 * (-4) = -32", "Divide: (416/57) / (-32) = -13/57", "Subtract: -13/57 - 741 = -42250/57"], "final_answer": "-42250/57", "answer_type": "rational", "kind": "expression", "math_text": "-416 / (-57) / (8 * (-4)) - 741", "variable": null, "family": "expression_4op", "shape": "(- (/ (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -416, \"b\": -57, \"c\": 8, \"d\": -4, \"e\": 741}", "seed": "1436207555458861592", "semantic_fingerprint": "sha256:2b6b3b9e7af885d5ca87ec91a65efed5bce183cd1197969c8c0d32eae2b67799", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004790", "prompt": "Solve for x: -6(x - 3) - 174 = 8(x - 70)", "solution_steps": ["Expand: -6x + 18 - 174 = 8(x - 70)", "Expand: -6x + 18 - 174 = 8x - 560", "Combine constants: -6x - 156 = 8x - 560", "Subtract 8x from both sides: -14x - 156 = -560", "Add 156 to both sides: -14x = -404", "Divide both sides by -14: x = 202/7"], "final_answer": "202/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 3) - 174 = 8(x - 70)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 3, \"c\": 174, \"d\": 8, \"e\": 70}", "seed": "1111938995447464692", "semantic_fingerprint": "sha256:ebdb1a67130725c71cf600f9548c9eb050b428d7808c9ec7d1fb27a7239be457", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004791", "prompt": "Solve the equation -7(x - 52) + 135 = -3(x - 4) for x.", "solution_steps": ["Expand: -7x + 364 + 135 = -3(x - 4)", "Expand: -7x + 364 + 135 = -3x + 12", "Combine constants: -7x + 499 = -3x + 12", "Add 3x to both sides: -4x + 499 = 12", "Subtract 499 from both sides: -4x = -487", "Divide both sides by -4: x = 487/4"], "final_answer": "487/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x - 52) + 135 = -3(x - 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 52, \"c\": 135, \"d\": -3, \"e\": 4}", "seed": "3308481625659324398", "semantic_fingerprint": "sha256:62bc4c761b4b24802cd1a7305a7b5461fde2a2b79842626f56b0fa9c7e4ffbac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004792", "prompt": "What is (277 - 23) * (6 / (-73))?", "solution_steps": ["Subtract: 277 - 23 = 254", "Divide: 6 / (-73) = -6/73", "Multiply: 254 * (-6/73) = -1524/73"], "final_answer": "-1524/73", "answer_type": "rational", "kind": "expression", "math_text": "(277 - 23) * (6 / (-73))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 277, \"b\": 23, \"c\": 6, \"d\": -73}", "seed": "14306756345025678200", "semantic_fingerprint": "sha256:46809410969fc8d6ec80fbd259c56a42172faea9437a88d82dda266c76323a35", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004793", "prompt": "Solve for x: 12x - 638 = 5(x + 21) + 924", "solution_steps": ["Expand: 12x - 638 = 5x + 105 + 924", "Combine constants: 12x - 638 = 5x + 1029", "Subtract 5x from both sides: 7x - 638 = 1029", "Add 638 to both sides: 7x = 1667", "Divide both sides by 7: x = 1667/7"], "final_answer": "1667/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 638 = 5(x + 21) + 924", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 638, \"c\": 5, \"d\": 21, \"e\": 924}", "seed": "8195430956732891763", "semantic_fingerprint": "sha256:e198354ad19a1408265ad268ffb182fe82bcf3053ea36a3b8390993b5cd62100", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004794", "prompt": "What is (-52 - (-889)) * (216 * 1)?", "solution_steps": ["Subtract: -52 - (-889) = 837", "Multiply: 216 * 1 = 216", "Multiply: 837 * 216 = 180792"], "final_answer": "180792", "answer_type": "integer", "kind": "expression", "math_text": "(-52 - (-889)) * (216 * 1)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": -889, \"c\": 216, \"d\": 1}", "seed": "5457164051511927754", "semantic_fingerprint": "sha256:406a7e8383ee5d0e61cca248eb40ef1007ba2fed1f12c29f050efd0b06400b2a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004795", "prompt": "Find x: 2(x + 520) - 36 = x - 26", "solution_steps": ["Expand: 2x + 1040 - 36 = x - 26", "Combine constants: 2x + 1004 = x - 26", "Subtract x from both sides: x + 1004 = -26", "Subtract 1004 from both sides: x = -1030"], "final_answer": "-1030", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 520) - 36 = x - 26", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 520, \"c\": 36, \"d\": 26}", "seed": "8328403734455778604", "semantic_fingerprint": "sha256:31cfc974687bb9115851a45d31211400adffbe93c5613988318371b25d45d1a8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004796", "prompt": "Evaluate: -316 * (-9) - (-4) * (22 - (-557 + 51))", "solution_steps": ["Multiply: -316 * (-9) = 2844", "Add: -557 + 51 = -506", "Subtract: 22 - (-506) = 528", "Multiply: -4 * 528 = -2112", "Subtract: 2844 - (-2112) = 4956"], "final_answer": "4956", "answer_type": "integer", "kind": "expression", "math_text": "-316 * (-9) - (-4) * (22 - (-557 + 51))", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (* n (- n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -316, \"b\": -9, \"c\": -4, \"d\": 22, \"e\": -557, \"f\": 51}", "seed": "8497581317669772250", "semantic_fingerprint": "sha256:3e993c981802cd43d53dc4f531839f9541f8ef050d9528cc79ba3d08ec449847", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004797", "prompt": "Solve for x: 2(x + 214) + 32 = 4(x + 276) - 3", "solution_steps": ["Expand: 2x + 428 + 32 = 4(x + 276) - 3", "Expand: 2x + 428 + 32 = 4x + 1104 - 3", "Combine constants: 2x + 460 = 4x + 1104 - 3", "Combine constants: 2x + 460 = 4x + 1101", "Subtract 4x from both sides: -2x + 460 = 1101", "Subtract 460 from both sides: -2x = 641", "Divide both sides by -2: x = -641/2"], "final_answer": "-641/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 214) + 32 = 4(x + 276) - 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 214, \"c\": 32, \"d\": 4, \"e\": 276, \"f\": 3}", "seed": "16052296208094655403", "semantic_fingerprint": "sha256:5addf6807ecf5c116ee5d697d4c4e0908edddfdf8459011583d4f5010c481b1f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004798", "prompt": "Solve for x: 2(x + 81) - 882 = x - 700", "solution_steps": ["Expand: 2x + 162 - 882 = x - 700", "Combine constants: 2x - 720 = x - 700", "Subtract x from both sides: x - 720 = -700", "Add 720 to both sides: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 81) - 882 = x - 700", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 81, \"c\": 882, \"e\": -700, \"x\": 20}", "seed": "11576247657054274843", "semantic_fingerprint": "sha256:5ce72e1b566a58e8398fdaa1f00a8c5249c6e2e791f7d4b40454e08133457519", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004799", "prompt": "Compute: -3 / (356 * (-5)) - 432", "solution_steps": ["Multiply: 356 * (-5) = -1780", "Divide: -3 / (-1780) = 3/1780", "Subtract: 3/1780 - 432 = -768957/1780"], "final_answer": "-768957/1780", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (356 * (-5)) - 432", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 356, \"c\": -5, \"d\": 432}", "seed": "12789085478693115485", "semantic_fingerprint": "sha256:939547841b78154c4848ea03c8cb37d3df93548b7457dcf5beaa11043ef61804", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004800", "prompt": "Evaluate: -2 / 49 + (-22) / 85", "solution_steps": ["Divide: -2 / 49 = -2/49", "Divide: -22 / 85 = -22/85", "Add: -2/49 + (-22/85) = -1248/4165"], "final_answer": "-1248/4165", "answer_type": "rational", "kind": "expression", "math_text": "-2 / 49 + (-22) / 85", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 49, \"c\": -22, \"d\": 85}", "seed": "3777327157677207597", "semantic_fingerprint": "sha256:81803737c775e3c2f6257dec560139434b07ee2d5ccec18347a3a653142675bf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004801", "prompt": "What is (62 - 4) * (-5 / 96)?", "solution_steps": ["Subtract: 62 - 4 = 58", "Divide: -5 / 96 = -5/96", "Multiply: 58 * (-5/96) = -145/48"], "final_answer": "-145/48", "answer_type": "rational", "kind": "expression", "math_text": "(62 - 4) * (-5 / 96)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": 4, \"c\": -5, \"d\": 96}", "seed": "17058765031875157545", "semantic_fingerprint": "sha256:9b914b56335428d810ca7f3dbf2c3c6ecfc7ffb3c09e697a93182f9accad8d06", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004802", "prompt": "Compute: -4 + 2 - (-59 + 2)", "solution_steps": ["Add: -4 + 2 = -2", "Add: -59 + 2 = -57", "Subtract: -2 - (-57) = 55"], "final_answer": "55", "answer_type": "integer", "kind": "expression", "math_text": "-4 + 2 - (-59 + 2)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 2, \"c\": -59, \"d\": 2}", "seed": "4807780185525715887", "semantic_fingerprint": "sha256:c972e8b9f6e5731eb6f18c01e1398a0580568d8e6802c07a435292b70d5a3162", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004803", "prompt": "Solve the equation 11(x - 30) - 328 = -6(x - 18) for x.", "solution_steps": ["Expand: 11x - 330 - 328 = -6(x - 18)", "Expand: 11x - 330 - 328 = -6x + 108", "Combine constants: 11x - 658 = -6x + 108", "Add 6x to both sides: 17x - 658 = 108", "Add 658 to both sides: 17x = 766", "Divide both sides by 17: x = 766/17"], "final_answer": "766/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 30) - 328 = -6(x - 18)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 30, \"c\": 328, \"d\": -6, \"e\": 18}", "seed": "16085656819946015655", "semantic_fingerprint": "sha256:3ff1ad37ef5fa3f4cb51f7bc2f20860ee1cffd22bd7968ae12f5a3c878c869b9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004804", "prompt": "Find x: -9(x + 95) + 9 = -6(x + 82) - 324", "solution_steps": ["Expand: -9x - 855 + 9 = -6(x + 82) - 324", "Expand: -9x - 855 + 9 = -6x - 492 - 324", "Combine constants: -9x - 846 = -6x - 492 - 324", "Combine constants: -9x - 846 = -6x - 816", "Add 6x to both sides: -3x - 846 = -816", "Add 846 to both sides: -3x = 30", "Divide both sides by -3: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 95) + 9 = -6(x + 82) - 324", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 95, \"c\": 9, \"d\": -6, \"e\": 82, \"g\": -324, \"x\": -10}", "seed": "18286557702334425380", "semantic_fingerprint": "sha256:06770bb20bee65693dab37e5e5826e190823cfdcf048a55678b1d52f79683ab3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004805", "prompt": "Compute: (-37 - (-615) + (-3)) * (-8) + (4 + (-67))", "solution_steps": ["Subtract: -37 - (-615) = 578", "Add: 578 + (-3) = 575", "Multiply: 575 * (-8) = -4600", "Add: 4 + (-67) = -63", "Add: -4600 + (-63) = -4663"], "final_answer": "-4663", "answer_type": "integer", "kind": "expression", "math_text": "(-37 - (-615) + (-3)) * (-8) + (4 + (-67))", "variable": null, "family": "expression_5op", "shape": "(+ (* (+ (- n n) n) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -615, \"c\": -3, \"d\": -8, \"e\": 4, \"f\": -67}", "seed": "9058348479927416828", "semantic_fingerprint": "sha256:7b342bf06932fb979edd3816248526a5860e9ec746907299c83d26cc1eea6c09", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004806", "prompt": "Compute: -126 + (-8) * (-308) + (-15 + (-46) / (-78))", "solution_steps": ["Multiply: -8 * (-308) = 2464", "Add: -126 + 2464 = 2338", "Divide: -46 / (-78) = 23/39", "Add: -15 + 23/39 = -562/39", "Add: 2338 + (-562/39) = 90620/39"], "final_answer": "90620/39", "answer_type": "rational", "kind": "expression", "math_text": "-126 + (-8) * (-308) + (-15 + (-46) / (-78))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (* n n)) (+ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -126, \"b\": -8, \"c\": -308, \"d\": -15, \"e\": -46, \"f\": -78}", "seed": "16976253476836613818", "semantic_fingerprint": "sha256:7c57610533231145345934af17c6cba1093f856d2288be3d197a1b7f0769b401", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004807", "prompt": "Find x: -4(x - 24) - 248 = 12(x - 6)", "solution_steps": ["Expand: -4x + 96 - 248 = 12(x - 6)", "Expand: -4x + 96 - 248 = 12x - 72", "Combine constants: -4x - 152 = 12x - 72", "Subtract 12x from both sides: -16x - 152 = -72", "Add 152 to both sides: -16x = 80", "Divide both sides by -16: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 24) - 248 = 12(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 24, \"c\": 12, \"d\": 6, \"f\": -248, \"x\": -5}", "seed": "14732030794298447681", "semantic_fingerprint": "sha256:17d79a7e07c7357b54c1080f161e1bcdfc17246fea5efb983ddae4d554f1c00c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004808", "prompt": "Calculate: -6 + 65 - 49 + (-5)", "solution_steps": ["Add: -6 + 65 = 59", "Subtract: 59 - 49 = 10", "Add: 10 + (-5) = 5"], "final_answer": "5", "answer_type": "integer", "kind": "expression", "math_text": "-6 + 65 - 49 + (-5)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 65, \"c\": 49, \"d\": -5}", "seed": "1374985666042014800", "semantic_fingerprint": "sha256:a20239f80c19e99cf893737b2238c1fc10109f5f43f573eb2f98215c5f5a5e57", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004809", "prompt": "Compute: -58 * (-30 * 22) - (-9)", "solution_steps": ["Multiply: -30 * 22 = -660", "Multiply: -58 * (-660) = 38280", "Subtract: 38280 - (-9) = 38289"], "final_answer": "38289", "answer_type": "integer", "kind": "expression", "math_text": "-58 * (-30 * 22) - (-9)", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": -30, \"c\": 22, \"d\": -9}", "seed": "5276869681237501849", "semantic_fingerprint": "sha256:53901e6b7c30fb661ad195711a5387bc92271bebe1942229b7989db640744473", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004810", "prompt": "Solve for x: 2(x - 116) - 5 = 7(x - 15) - 207", "solution_steps": ["Expand: 2x - 232 - 5 = 7(x - 15) - 207", "Expand: 2x - 232 - 5 = 7x - 105 - 207", "Combine constants: 2x - 237 = 7x - 105 - 207", "Combine constants: 2x - 237 = 7x - 312", "Subtract 7x from both sides: -5x - 237 = -312", "Add 237 to both sides: -5x = -75", "Divide both sides by -5: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 116) - 5 = 7(x - 15) - 207", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 116, \"c\": 5, \"d\": 7, \"e\": 15, \"g\": -207, \"x\": 15}", "seed": "10083599619908294043", "semantic_fingerprint": "sha256:a8b931e73247a2e0991f211d0809c4f14bcea05c5af667543e0a7f855c0ed552", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004811", "prompt": "Calculate: (-938 + 52 + 0) * (-1)", "solution_steps": ["Add: -938 + 52 = -886", "Add: -886 + 0 = -886", "Multiply: -886 * (-1) = 886"], "final_answer": "886", "answer_type": "integer", "kind": "expression", "math_text": "(-938 + 52 + 0) * (-1)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -938, \"b\": 52, \"c\": 0, \"d\": -1}", "seed": "16588249652559802704", "semantic_fingerprint": "sha256:d3155f7b4e23fd5af6d73a83587d22a3945de4bda2c6ac20a90a52aa591e70bc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004812", "prompt": "Compute: -23 + (148 * 955 - 190)", "solution_steps": ["Multiply: 148 * 955 = 141340", "Subtract: 141340 - 190 = 141150", "Add: -23 + 141150 = 141127"], "final_answer": "141127", "answer_type": "integer", "kind": "expression", "math_text": "-23 + (148 * 955 - 190)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": 148, \"c\": 955, \"d\": 190}", "seed": "11318753642195382018", "semantic_fingerprint": "sha256:48c9b3975a7e53952eb3540145109ad3d3c0d3e4b3719752138f2ee6be68ba05", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004813", "prompt": "Solve for x: -10(x + 8) + 6 = 7(x + 97) - 719", "solution_steps": ["Expand: -10x - 80 + 6 = 7(x + 97) - 719", "Expand: -10x - 80 + 6 = 7x + 679 - 719", "Combine constants: -10x - 74 = 7x + 679 - 719", "Combine constants: -10x - 74 = 7x - 40", "Subtract 7x from both sides: -17x - 74 = -40", "Add 74 to both sides: -17x = 34", "Divide both sides by -17: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 8) + 6 = 7(x + 97) - 719", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 8, \"c\": 6, \"d\": 7, \"e\": 97, \"g\": -719, \"x\": -2}", "seed": "2661057770487728563", "semantic_fingerprint": "sha256:5e0293bc93b2e68f398d52e1f10b6764a176d326851f680027a7e25cfc1a19a5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004814", "prompt": "Compute: -55 + 6 / (23 - 94)", "solution_steps": ["Subtract: 23 - 94 = -71", "Divide: 6 / (-71) = -6/71", "Add: -55 + (-6/71) = -3911/71"], "final_answer": "-3911/71", "answer_type": "rational", "kind": "expression", "math_text": "-55 + 6 / (23 - 94)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 6, \"c\": 23, \"d\": 94}", "seed": "16786610556778537566", "semantic_fingerprint": "sha256:e90f04e68af5b60f1a4904169cbea7864aac71e40e4b59d2c248a2c8d4344ac9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004815", "prompt": "Compute: 507 / (-639 + (-50) / 8) - (-36 - (-2))", "solution_steps": ["Divide: -50 / 8 = -25/4", "Add: -639 + (-25/4) = -2581/4", "Divide: 507 / (-2581/4) = -2028/2581", "Subtract: -36 - (-2) = -34", "Subtract: -2028/2581 - (-34) = 85726/2581"], "final_answer": "85726/2581", "answer_type": "rational", "kind": "expression", "math_text": "507 / (-639 + (-50) / 8) - (-36 - (-2))", "variable": null, "family": "expression_5op", "shape": "(- (/ n (+ n (/ n n))) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 507, \"b\": -639, \"c\": -50, \"d\": 8, \"e\": -36, \"f\": -2}", "seed": "10707344872343304396", "semantic_fingerprint": "sha256:52a0124eec2d8c500207ab637ab8686a0295b2cfe6657cd636363b4a7eb68fdb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004816", "prompt": "What is -1 - (-79) + (-816) * (-28 + 587)?", "solution_steps": ["Subtract: -1 - (-79) = 78", "Add: -28 + 587 = 559", "Multiply: -816 * 559 = -456144", "Add: 78 + (-456144) = -456066"], "final_answer": "-456066", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (-79) + (-816) * (-28 + 587)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -79, \"c\": -816, \"d\": -28, \"e\": 587}", "seed": "14554304858674839071", "semantic_fingerprint": "sha256:1d57b1494a0a3616d32b27da7ea7761b7149bea633b15a23fcc80aca6c3490de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004817", "prompt": "Calculate: (232 - (-30)) * 6 - (-36) * (-3)", "solution_steps": ["Subtract: 232 - (-30) = 262", "Multiply: 262 * 6 = 1572", "Multiply: -36 * (-3) = 108", "Subtract: 1572 - 108 = 1464"], "final_answer": "1464", "answer_type": "integer", "kind": "expression", "math_text": "(232 - (-30)) * 6 - (-36) * (-3)", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 232, \"b\": -30, \"c\": 6, \"d\": -36, \"e\": -3}", "seed": "11144520901640068301", "semantic_fingerprint": "sha256:09f680b8cddf112c51e9e8c9b57f1a70e2676328c68519bfcf4a2ef4078e2510", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004818", "prompt": "What value of x satisfies 3(x + 6) + 2 = 5(x + 35) - 149?", "solution_steps": ["Expand: 3x + 18 + 2 = 5(x + 35) - 149", "Expand: 3x + 18 + 2 = 5x + 175 - 149", "Combine constants: 3x + 20 = 5x + 175 - 149", "Combine constants: 3x + 20 = 5x + 26", "Subtract 5x from both sides: -2x + 20 = 26", "Subtract 20 from both sides: -2x = 6", "Divide both sides by -2: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 6) + 2 = 5(x + 35) - 149", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 2, \"d\": 5, \"e\": 35, \"g\": -149, \"x\": -3}", "seed": "7299347659116265803", "semantic_fingerprint": "sha256:591411be3dd4a3cb0e0fbecc5851cdc99991409107ee69403f76fee3c4a7e267", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004819", "prompt": "Solve the equation 9(x - 1) - 27 = 6(x - 6) for x.", "solution_steps": ["Expand: 9x - 9 - 27 = 6(x - 6)", "Expand: 9x - 9 - 27 = 6x - 36", "Combine constants: 9x - 36 = 6x - 36", "Subtract 6x from both sides: 3x - 36 = -36", "Add 36 to both sides: 3x = 0", "Divide both sides by 3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 1) - 27 = 6(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 1, \"c\": 6, \"d\": 6, \"f\": -27, \"x\": 0}", "seed": "4991764046749216722", "semantic_fingerprint": "sha256:43ca5eafdfd9d60c31f1f19cd609f5be12f5f2cd3d7fe8c53f06f4cf178c3f75", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004820", "prompt": "What is 34 - (-409) * (-908) - (-6)?", "solution_steps": ["Multiply: -409 * (-908) = 371372", "Subtract: 34 - 371372 = -371338", "Subtract: -371338 - (-6) = -371332"], "final_answer": "-371332", "answer_type": "integer", "kind": "expression", "math_text": "34 - (-409) * (-908) - (-6)", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": -409, \"c\": -908, \"d\": -6}", "seed": "13213521084367955590", "semantic_fingerprint": "sha256:ee56e64ad177fa8ee43f11da65b3f41a7c4516308762c5fc32070d7b684beb53", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004821", "prompt": "Compute: -43 / (80 + (-9) + 8 * (-4)) + (-7)", "solution_steps": ["Add: 80 + (-9) = 71", "Multiply: 8 * (-4) = -32", "Add: 71 + (-32) = 39", "Divide: -43 / 39 = -43/39", "Add: -43/39 + (-7) = -316/39"], "final_answer": "-316/39", "answer_type": "rational", "kind": "expression", "math_text": "-43 / (80 + (-9) + 8 * (-4)) + (-7)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (+ (+ n n) (* n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 80, \"c\": -9, \"d\": 8, \"e\": -4, \"f\": -7}", "seed": "15967700771408461036", "semantic_fingerprint": "sha256:87cc7a0c5e302ff9a740329b761e5dceb3f75e85f68c25c3fc13f2821f4d5dbd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004822", "prompt": "Solve the equation 4(x - 9) = 5x - 26 for x.", "solution_steps": ["Expand: 4x - 36 = 5x - 26", "Subtract 5x from both sides: -x - 36 = -26", "Add 36 to both sides: -x = 10", "Divide both sides by -1: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 9) = 5x - 26", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 5, \"e\": -26, \"x\": -10}", "seed": "6379752252802104477", "semantic_fingerprint": "sha256:e23b4c608670bfca95ec2b9811eb7798ec8ca9b090886655f6e55fb7687dab4d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004823", "prompt": "Calculate: (-57 - 59) * 0 - 66 + 8", "solution_steps": ["Subtract: -57 - 59 = -116", "Multiply: -116 * 0 = 0", "Subtract: 0 - 66 = -66", "Add: -66 + 8 = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "expression", "math_text": "(-57 - 59) * 0 - 66 + 8", "variable": null, "family": "expression_4op", "shape": "(+ (- (* (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": 59, \"c\": 0, \"d\": 66, \"e\": 8}", "seed": "4327178283087678608", "semantic_fingerprint": "sha256:19bf448bcbda998cba61cc3febcc75c568e472636ca1540d5d66449267cd9a68", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004824", "prompt": "Solve the equation 2(x - 325) = 7x - 550 for x.", "solution_steps": ["Expand: 2x - 650 = 7x - 550", "Subtract 7x from both sides: -5x - 650 = -550", "Add 650 to both sides: -5x = 100", "Divide both sides by -5: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 325) = 7x - 550", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 325, \"c\": 7, \"e\": -550, \"x\": -20}", "seed": "15661785670865664481", "semantic_fingerprint": "sha256:7956ea2e8067252ff8c8a5b57d83e65f219f3f5562eb932becc1c8b2edeba30e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004825", "prompt": "Solve the equation -4(x - 5) + 71 = 8(x + 99) - 58 for x.", "solution_steps": ["Expand: -4x + 20 + 71 = 8(x + 99) - 58", "Expand: -4x + 20 + 71 = 8x + 792 - 58", "Combine constants: -4x + 91 = 8x + 792 - 58", "Combine constants: -4x + 91 = 8x + 734", "Subtract 8x from both sides: -12x + 91 = 734", "Subtract 91 from both sides: -12x = 643", "Divide both sides by -12: x = -643/12"], "final_answer": "-643/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 5) + 71 = 8(x + 99) - 58", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 5, \"c\": 71, \"d\": 8, \"e\": 99, \"f\": 58}", "seed": "13940106412809921923", "semantic_fingerprint": "sha256:4647c50d27074c24686f3ba7556982f889fa12ca6e3a327c31b61b0cb31f87ff", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004826", "prompt": "Find x: 8(x - 8) + 52 = 6(x + 15) - 142", "solution_steps": ["Expand: 8x - 64 + 52 = 6(x + 15) - 142", "Expand: 8x - 64 + 52 = 6x + 90 - 142", "Combine constants: 8x - 12 = 6x + 90 - 142", "Combine constants: 8x - 12 = 6x - 52", "Subtract 6x from both sides: 2x - 12 = -52", "Add 12 to both sides: 2x = -40", "Divide both sides by 2: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 8) + 52 = 6(x + 15) - 142", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": 52, \"d\": 6, \"e\": 15, \"g\": -142, \"x\": -20}", "seed": "5711785904928014216", "semantic_fingerprint": "sha256:749bcc3401d626af035d08ee39b6144abc7bd139097550d36f4c910a99ef0728", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004827", "prompt": "What is 331 * (-48 - (-977) + 18)?", "solution_steps": ["Subtract: -48 - (-977) = 929", "Add: 929 + 18 = 947", "Multiply: 331 * 947 = 313457"], "final_answer": "313457", "answer_type": "integer", "kind": "expression", "math_text": "331 * (-48 - (-977) + 18)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 331, \"b\": -48, \"c\": -977, \"d\": 18}", "seed": "2793847364313116632", "semantic_fingerprint": "sha256:2d2b35260d7c99b0eee3963cf4fa1d1a9d86505086556d69ddb7b75d4c63214f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004828", "prompt": "What value of x satisfies 2(x - 33) - 155 = 3(x - 73)?", "solution_steps": ["Expand: 2x - 66 - 155 = 3(x - 73)", "Expand: 2x - 66 - 155 = 3x - 219", "Combine constants: 2x - 221 = 3x - 219", "Subtract 3x from both sides: -x - 221 = -219", "Add 221 to both sides: -x = 2", "Divide both sides by -1: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 33) - 155 = 3(x - 73)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 33, \"c\": 3, \"d\": 73, \"f\": -155, \"x\": -2}", "seed": "4410242818201932622", "semantic_fingerprint": "sha256:985570aac008debd44f4b9b03bd1a3d2519fdb83edb79d96a2a1154753ed5b68", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004829", "prompt": "Find x: 9(x + 2) + 6 = 12(x + 2) - 2", "solution_steps": ["Expand: 9x + 18 + 6 = 12(x + 2) - 2", "Expand: 9x + 18 + 6 = 12x + 24 - 2", "Combine constants: 9x + 24 = 12x + 24 - 2", "Combine constants: 9x + 24 = 12x + 22", "Subtract 12x from both sides: -3x + 24 = 22", "Subtract 24 from both sides: -3x = -2", "Divide both sides by -3: x = 2/3"], "final_answer": "2/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 2) + 6 = 12(x + 2) - 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 6, \"d\": 12, \"e\": 2, \"f\": 2}", "seed": "875925790002104703", "semantic_fingerprint": "sha256:63292d6a5e8ada5edc9900c2d90e2daf2251354372a9f77bcd709da44b95d7d2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004830", "prompt": "What is (-6 - (74 + 2)) * (670 / (-990)) * (-39)?", "solution_steps": ["Add: 74 + 2 = 76", "Subtract: -6 - 76 = -82", "Divide: 670 / (-990) = -67/99", "Multiply: -82 * (-67/99) = 5494/99", "Multiply: (5494/99) * (-39) = -71422/33"], "final_answer": "-71422/33", "answer_type": "rational", "kind": "expression", "math_text": "(-6 - (74 + 2)) * (670 / (-990)) * (-39)", "variable": null, "family": "expression_5op", "shape": "(* (* (- n (+ n n)) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 74, \"c\": 2, \"d\": 670, \"e\": -990, \"f\": -39}", "seed": "4227651576537356669", "semantic_fingerprint": "sha256:5aecd1390cdb2ee57b671d0a53702da9851f6c151f8e3f1bcadf73d890a6087b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004831", "prompt": "Evaluate: 312 / (79 - (-535) + (-6))", "solution_steps": ["Subtract: 79 - (-535) = 614", "Add: 614 + (-6) = 608", "Divide: 312 / 608 = 39/76"], "final_answer": "39/76", "answer_type": "rational", "kind": "expression", "math_text": "312 / (79 - (-535) + (-6))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 312, \"b\": 79, \"c\": -535, \"d\": -6}", "seed": "15008820317188094818", "semantic_fingerprint": "sha256:48694cb00347025a42e7f0e95d9a0bbcd746c4b1c100f1ec6c5507d0f10d33bf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004832", "prompt": "Compute: 737 * (0 * (-328 - (-38)))", "solution_steps": ["Subtract: -328 - (-38) = -290", "Multiply: 0 * (-290) = 0", "Multiply: 737 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "737 * (0 * (-328 - (-38)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 737, \"b\": 0, \"c\": -328, \"d\": -38}", "seed": "13954532741660554693", "semantic_fingerprint": "sha256:a6d301ffd36683175ff472b7fd65b5e7e0060c2845e6c3e63f5c86ff8c95c571", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004833", "prompt": "What value of x satisfies -2(x - 64) + 7 = 3x + 225?", "solution_steps": ["Expand: -2x + 128 + 7 = 3x + 225", "Combine constants: -2x + 135 = 3x + 225", "Subtract 3x from both sides: -5x + 135 = 225", "Subtract 135 from both sides: -5x = 90", "Divide both sides by -5: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 64) + 7 = 3x + 225", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 64, \"c\": 7, \"d\": 3, \"f\": 225, \"x\": -18}", "seed": "13993156945562554225", "semantic_fingerprint": "sha256:3851329c4b91c8c8a020cd9d1554e147da4426ce520dba9888400fe9f89a2b55", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004834", "prompt": "What is (0 - 69) * (-25 / (-9))?", "solution_steps": ["Subtract: 0 - 69 = -69", "Divide: -25 / (-9) = 25/9", "Multiply: -69 * (25/9) = -575/3"], "final_answer": "-575/3", "answer_type": "rational", "kind": "expression", "math_text": "(0 - 69) * (-25 / (-9))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 69, \"c\": -25, \"d\": -9}", "seed": "9935562908331857057", "semantic_fingerprint": "sha256:ca245766270baacad76cb6bd68db4c30221dbcddf7565407af5c618fc41ce9f9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004835", "prompt": "What is -37 + (-1 * 66 - (-987))?", "solution_steps": ["Multiply: -1 * 66 = -66", "Subtract: -66 - (-987) = 921", "Add: -37 + 921 = 884"], "final_answer": "884", "answer_type": "integer", "kind": "expression", "math_text": "-37 + (-1 * 66 - (-987))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -1, \"c\": 66, \"d\": -987}", "seed": "12990385239909019146", "semantic_fingerprint": "sha256:a91a68192fe8609547ec5c3ba7151b1c981c9ccf72082ea28fb60b10f9cc27e4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004836", "prompt": "Calculate: -20 - (-68) / (-63 / 3)", "solution_steps": ["Divide: -63 / 3 = -21", "Divide: -68 / (-21) = 68/21", "Subtract: -20 - 68/21 = -488/21"], "final_answer": "-488/21", "answer_type": "rational", "kind": "expression", "math_text": "-20 - (-68) / (-63 / 3)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": -68, \"c\": -63, \"d\": 3}", "seed": "16682994331884735690", "semantic_fingerprint": "sha256:dd40882ce8a43963793e7f2db291b706659040faf4dc68d3c7f5a5a78766ece4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004837", "prompt": "Solve for x: 6(x - 2) + 40 = 3(x + 314) - 890", "solution_steps": ["Expand: 6x - 12 + 40 = 3(x + 314) - 890", "Expand: 6x - 12 + 40 = 3x + 942 - 890", "Combine constants: 6x + 28 = 3x + 942 - 890", "Combine constants: 6x + 28 = 3x + 52", "Subtract 3x from both sides: 3x + 28 = 52", "Subtract 28 from both sides: 3x = 24", "Divide both sides by 3: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 2) + 40 = 3(x + 314) - 890", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 40, \"d\": 3, \"e\": 314, \"g\": -890, \"x\": 8}", "seed": "17326066582202900102", "semantic_fingerprint": "sha256:b73df41330649c0739db7bf28fdbc93a0cb4c0f34fcd69d4a62c59879fb7b0ee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004838", "prompt": "Solve for x: x - 39 = 12(x - 8) + 79", "solution_steps": ["Expand: x - 39 = 12x - 96 + 79", "Combine constants: x - 39 = 12x - 17", "Subtract 12x from both sides: -11x - 39 = -17", "Add 39 to both sides: -11x = 22", "Divide both sides by -11: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 39 = 12(x - 8) + 79", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 12, \"c\": 8, \"e\": 79, \"x\": -2}", "seed": "7656457061532261421", "semantic_fingerprint": "sha256:1341dec6312e83eb2f8150ee5dce62aae1a21e890282188c92ae8658634ed139", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004839", "prompt": "Calculate: 88 - (-37 / (-1) + (-2) - (-96))", "solution_steps": ["Divide: -37 / (-1) = 37", "Add: 37 + (-2) = 35", "Subtract: 35 - (-96) = 131", "Subtract: 88 - 131 = -43"], "final_answer": "-43", "answer_type": "integer", "kind": "expression", "math_text": "88 - (-37 / (-1) + (-2) - (-96))", "variable": null, "family": "expression_4op", "shape": "(- n (- (+ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": -37, \"c\": -1, \"d\": -2, \"e\": -96}", "seed": "11922901523919069451", "semantic_fingerprint": "sha256:d5fe75e5d3030fe295a6aa67f96a4ef99c67ac6b96f323e227b4070529da58ef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004840", "prompt": "Compute: 276 * (-366) / 99 / (-650)", "solution_steps": ["Multiply: 276 * (-366) = -101016", "Divide: -101016 / 99 = -11224/11", "Divide: (-11224/11) / (-650) = 5612/3575"], "final_answer": "5612/3575", "answer_type": "rational", "kind": "expression", "math_text": "276 * (-366) / 99 / (-650)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 276, \"b\": -366, \"c\": 99, \"d\": -650}", "seed": "9113759074449874151", "semantic_fingerprint": "sha256:66472321a00ceb411c5b64b5f4bb2fab3ccd1ba7cb7e749cf35501c12b146ccd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004841", "prompt": "Evaluate: 0 + (-38 * 6 - (-8) * 25 / 419)", "solution_steps": ["Multiply: -38 * 6 = -228", "Multiply: -8 * 25 = -200", "Divide: -200 / 419 = -200/419", "Subtract: -228 - (-200/419) = -95332/419", "Add: 0 + (-95332/419) = -95332/419"], "final_answer": "-95332/419", "answer_type": "rational", "kind": "expression", "math_text": "0 + (-38 * 6 - (-8) * 25 / 419)", "variable": null, "family": "expression_5op", "shape": "(+ n (- (* n n) (/ (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -38, \"c\": 6, \"d\": -8, \"e\": 25, \"f\": 419}", "seed": "3397964421218891691", "semantic_fingerprint": "sha256:bf5a3ebf8ca3e1a52b6132bcde987a0b3d79fb3a2b05be157a6b17c0e3dc32a9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004842", "prompt": "What is 696 + (-77 - 0) + 48 * 96?", "solution_steps": ["Subtract: -77 - 0 = -77", "Add: 696 + (-77) = 619", "Multiply: 48 * 96 = 4608", "Add: 619 + 4608 = 5227"], "final_answer": "5227", "answer_type": "integer", "kind": "expression", "math_text": "696 + (-77 - 0) + 48 * 96", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 696, \"b\": -77, \"c\": 0, \"d\": 48, \"e\": 96}", "seed": "1038775669278333791", "semantic_fingerprint": "sha256:e57349a03a2bcc8dd5b027087d6e19537399732210eb3127f665dcb274aba67b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004843", "prompt": "Solve for x: -11(x + 25) - 93 = x - 5", "solution_steps": ["Expand: -11x - 275 - 93 = x - 5", "Combine constants: -11x - 368 = x - 5", "Subtract x from both sides: -12x - 368 = -5", "Add 368 to both sides: -12x = 363", "Divide both sides by -12: x = -121/4"], "final_answer": "-121/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 25) - 93 = x - 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 25, \"c\": 93, \"d\": 5}", "seed": "11410421625869815789", "semantic_fingerprint": "sha256:8580c2d5f4558a73b8bfc528e059d7ffe3096941cf9097b43271ed2c930ae5f2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004844", "prompt": "What is 3 + (23 + 83) - (-9)?", "solution_steps": ["Add: 23 + 83 = 106", "Add: 3 + 106 = 109", "Subtract: 109 - (-9) = 118"], "final_answer": "118", "answer_type": "integer", "kind": "expression", "math_text": "3 + (23 + 83) - (-9)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 23, \"c\": 83, \"d\": -9}", "seed": "9948074144772813582", "semantic_fingerprint": "sha256:cda3a23514b9f23ead9918167254f39a6d1b5a09a41cfcd70b7d7c50faa4b330", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004845", "prompt": "Find x: x - 7 = 7(x - 4) + 1", "solution_steps": ["Expand: x - 7 = 7x - 28 + 1", "Combine constants: x - 7 = 7x - 27", "Subtract 7x from both sides: -6x - 7 = -27", "Add 7 to both sides: -6x = -20", "Divide both sides by -6: x = 10/3"], "final_answer": "10/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 7 = 7(x - 4) + 1", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 4, \"d\": 1}", "seed": "1795106993863553484", "semantic_fingerprint": "sha256:f259cb73544decceb28aaea585dd816a84d5b4d51abcdc3bba69fd9be0d063a4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004846", "prompt": "Solve the equation 11(x + 4) + 51 = -9(x + 3) - 872 for x.", "solution_steps": ["Expand: 11x + 44 + 51 = -9(x + 3) - 872", "Expand: 11x + 44 + 51 = -9x - 27 - 872", "Combine constants: 11x + 95 = -9x - 27 - 872", "Combine constants: 11x + 95 = -9x - 899", "Add 9x to both sides: 20x + 95 = -899", "Subtract 95 from both sides: 20x = -994", "Divide both sides by 20: x = -497/10"], "final_answer": "-497/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 4) + 51 = -9(x + 3) - 872", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 51, \"d\": -9, \"e\": 3, \"f\": 872}", "seed": "7230630297370779144", "semantic_fingerprint": "sha256:3438f32a57b3b5e3816162e01ebb673a8c603fbf04bae353be991338c885572b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004847", "prompt": "Compute: (497 * 0 + 33) * 111", "solution_steps": ["Multiply: 497 * 0 = 0", "Add: 0 + 33 = 33", "Multiply: 33 * 111 = 3663"], "final_answer": "3663", "answer_type": "integer", "kind": "expression", "math_text": "(497 * 0 + 33) * 111", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 497, \"b\": 0, \"c\": 33, \"d\": 111}", "seed": "11134011614740817509", "semantic_fingerprint": "sha256:ec0b759f93633d1cd0daf618aee73913aa3f94b6776e81344e6b5fa7d1bf77a5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004848", "prompt": "Solve the equation 3(x - 242) - 104 = 8(x - 66) - 242 for x.", "solution_steps": ["Expand: 3x - 726 - 104 = 8(x - 66) - 242", "Expand: 3x - 726 - 104 = 8x - 528 - 242", "Combine constants: 3x - 830 = 8x - 528 - 242", "Combine constants: 3x - 830 = 8x - 770", "Subtract 8x from both sides: -5x - 830 = -770", "Add 830 to both sides: -5x = 60", "Divide both sides by -5: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 242) - 104 = 8(x - 66) - 242", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 242, \"c\": 104, \"d\": 8, \"e\": 66, \"g\": -242, \"x\": -12}", "seed": "8707913308481193029", "semantic_fingerprint": "sha256:f80167b7b027201019ccff216f178a1cede94d0abcf3325a74d39194f29af690", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004849", "prompt": "Find x: 9(x - 7) - 2 = 5(x - 265)", "solution_steps": ["Expand: 9x - 63 - 2 = 5(x - 265)", "Expand: 9x - 63 - 2 = 5x - 1325", "Combine constants: 9x - 65 = 5x - 1325", "Subtract 5x from both sides: 4x - 65 = -1325", "Add 65 to both sides: 4x = -1260", "Divide both sides by 4: x = -315"], "final_answer": "-315", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 7) - 2 = 5(x - 265)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 2, \"d\": 5, \"e\": 265}", "seed": "13794317694934393091", "semantic_fingerprint": "sha256:e2c1d830a7a10144e84c8a5cd0f47b361d1165680927751a72718258d75286c4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004850", "prompt": "Evaluate: 831 / (-2 * 30 / 6)", "solution_steps": ["Multiply: -2 * 30 = -60", "Divide: -60 / 6 = -10", "Divide: 831 / (-10) = -831/10"], "final_answer": "-831/10", "answer_type": "rational", "kind": "expression", "math_text": "831 / (-2 * 30 / 6)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 831, \"b\": -2, \"c\": 30, \"d\": 6}", "seed": "93951699413824813", "semantic_fingerprint": "sha256:1c028272bb9c71dc01faa793ce2d0a438850bb60d4d993fbd9676dffdb430828", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004851", "prompt": "Compute: (3 + 74) * ((523 + 732 + (-39)) / (-8))", "solution_steps": ["Add: 3 + 74 = 77", "Add: 523 + 732 = 1255", "Add: 1255 + (-39) = 1216", "Divide: 1216 / (-8) = -152", "Multiply: 77 * (-152) = -11704"], "final_answer": "-11704", "answer_type": "integer", "kind": "expression", "math_text": "(3 + 74) * ((523 + 732 + (-39)) / (-8))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (/ (+ (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 74, \"c\": 523, \"d\": 732, \"e\": -39, \"f\": -8}", "seed": "14918868291319144410", "semantic_fingerprint": "sha256:9932f630a4b01045818f3a7fc8104523a7194290d1215c8a5e33bf30b991fc87", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004852", "prompt": "What is (-49 * (-8) + (-350)) * (-5)?", "solution_steps": ["Multiply: -49 * (-8) = 392", "Add: 392 + (-350) = 42", "Multiply: 42 * (-5) = -210"], "final_answer": "-210", "answer_type": "integer", "kind": "expression", "math_text": "(-49 * (-8) + (-350)) * (-5)", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": -8, \"c\": -350, \"d\": -5}", "seed": "11879556833006730196", "semantic_fingerprint": "sha256:6f79063f110e733431325bf588e8934218546c724fe380e536f21ade76a49226", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004853", "prompt": "Compute: (98 + 6 + 83) * 81", "solution_steps": ["Add: 98 + 6 = 104", "Add: 104 + 83 = 187", "Multiply: 187 * 81 = 15147"], "final_answer": "15147", "answer_type": "integer", "kind": "expression", "math_text": "(98 + 6 + 83) * 81", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 6, \"c\": 83, \"d\": 81}", "seed": "10088039077832634153", "semantic_fingerprint": "sha256:75af5d4850ef33ff9c1afaafa0177c76fa655e92f6112b40202f620673b19b08", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004854", "prompt": "Evaluate: 7 - (-98 + (-184 - 8))", "solution_steps": ["Subtract: -184 - 8 = -192", "Add: -98 + (-192) = -290", "Subtract: 7 - (-290) = 297"], "final_answer": "297", "answer_type": "integer", "kind": "expression", "math_text": "7 - (-98 + (-184 - 8))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -98, \"c\": -184, \"d\": 8}", "seed": "4872607922183916878", "semantic_fingerprint": "sha256:f5c93710ceb55a5596761c3a387d4988ab5d8377431a21fc4e9ab1525a2175ef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004855", "prompt": "Compute: 82 - 832 * 71 - 305", "solution_steps": ["Multiply: 832 * 71 = 59072", "Subtract: 82 - 59072 = -58990", "Subtract: -58990 - 305 = -59295"], "final_answer": "-59295", "answer_type": "integer", "kind": "expression", "math_text": "82 - 832 * 71 - 305", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 832, \"c\": 71, \"d\": 305}", "seed": "8199502898223793398", "semantic_fingerprint": "sha256:b7a0c48a72c82d221c4a9b492fd1d2bfe647189cbccffd64920bbed82a696846", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004856", "prompt": "Solve for x: 7(x - 5) + 798 = 4x + 787", "solution_steps": ["Expand: 7x - 35 + 798 = 4x + 787", "Combine constants: 7x + 763 = 4x + 787", "Subtract 4x from both sides: 3x + 763 = 787", "Subtract 763 from both sides: 3x = 24", "Divide both sides by 3: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 5) + 798 = 4x + 787", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 798, \"d\": 4, \"f\": 787, \"x\": 8}", "seed": "13132901536063590772", "semantic_fingerprint": "sha256:efd402f653ec45b42aaf6b1f199dbac6699bca7b4347f3f04f2b4a9454e311ba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004857", "prompt": "What value of x satisfies 9x - 8 = -6(x + 78) + 220?", "solution_steps": ["Expand: 9x - 8 = -6x - 468 + 220", "Combine constants: 9x - 8 = -6x - 248", "Add 6x to both sides: 15x - 8 = -248", "Add 8 to both sides: 15x = -240", "Divide both sides by 15: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 8 = -6(x + 78) + 220", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": -6, \"d\": 78, \"f\": 220, \"x\": -16}", "seed": "9248267568711953874", "semantic_fingerprint": "sha256:8989633851e37b3998c4961d161eef733ec12c213b50d32e07a80f60c8d760a0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004858", "prompt": "Compute: -446 + (-116 * (-3) - 99)", "solution_steps": ["Multiply: -116 * (-3) = 348", "Subtract: 348 - 99 = 249", "Add: -446 + 249 = -197"], "final_answer": "-197", "answer_type": "integer", "kind": "expression", "math_text": "-446 + (-116 * (-3) - 99)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -446, \"b\": -116, \"c\": -3, \"d\": 99}", "seed": "10261268349157420732", "semantic_fingerprint": "sha256:4e5b8367eb059f39efed4a3068c8e4089ee2ecff7de866b42ad2d3a5c353dc35", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004859", "prompt": "Compute: -89 - (-29) / (67 / (-7) - (-78)) + (-5)", "solution_steps": ["Divide: 67 / (-7) = -67/7", "Subtract: -67/7 - (-78) = 479/7", "Divide: -29 / (479/7) = -203/479", "Subtract: -89 - (-203/479) = -42428/479", "Add: -42428/479 + (-5) = -44823/479"], "final_answer": "-44823/479", "answer_type": "rational", "kind": "expression", "math_text": "-89 - (-29) / (67 / (-7) - (-78)) + (-5)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (/ n (- (/ n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": -29, \"c\": 67, \"d\": -7, \"e\": -78, \"f\": -5}", "seed": "4758443069117515861", "semantic_fingerprint": "sha256:01b7b6ef49a198b8db7499ca7f60715c52076ed37cc8f0012b84a2023fcf798b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004860", "prompt": "Evaluate: 73 - 152 + 57 * (7 + (-64))", "solution_steps": ["Subtract: 73 - 152 = -79", "Add: 7 + (-64) = -57", "Multiply: 57 * (-57) = -3249", "Add: -79 + (-3249) = -3328"], "final_answer": "-3328", "answer_type": "integer", "kind": "expression", "math_text": "73 - 152 + 57 * (7 + (-64))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 152, \"c\": 57, \"d\": 7, \"e\": -64}", "seed": "11070641875262113669", "semantic_fingerprint": "sha256:89c2c14d23ef0983215360ac96f9ec918d57bc73959cd780c673adabe15857e9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004861", "prompt": "Evaluate: 25 / (416 / (1 * 18))", "solution_steps": ["Multiply: 1 * 18 = 18", "Divide: 416 / 18 = 208/9", "Divide: 25 / (208/9) = 225/208"], "final_answer": "225/208", "answer_type": "rational", "kind": "expression", "math_text": "25 / (416 / (1 * 18))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": 416, \"c\": 1, \"d\": 18}", "seed": "3820202068486621125", "semantic_fingerprint": "sha256:93cf6507a93fdb0e740bf30889e924b0532078afcef5bac39dce825ce6f46b3e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004862", "prompt": "Evaluate: -5 + (-277) - (-54 + (-950))", "solution_steps": ["Add: -5 + (-277) = -282", "Add: -54 + (-950) = -1004", "Subtract: -282 - (-1004) = 722"], "final_answer": "722", "answer_type": "integer", "kind": "expression", "math_text": "-5 + (-277) - (-54 + (-950))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -277, \"c\": -54, \"d\": -950}", "seed": "4631911477976285785", "semantic_fingerprint": "sha256:a9e597c507756513343c99a72c77294439f739376005c4f9a4980b67149f4176", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004863", "prompt": "Calculate: -616 + (-80 / (-341) + 8) * (-50)", "solution_steps": ["Divide: -80 / (-341) = 80/341", "Add: 80/341 + 8 = 2808/341", "Multiply: (2808/341) * (-50) = -140400/341", "Add: -616 + (-140400/341) = -350456/341"], "final_answer": "-350456/341", "answer_type": "rational", "kind": "expression", "math_text": "-616 + (-80 / (-341) + 8) * (-50)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (+ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -616, \"b\": -80, \"c\": -341, \"d\": 8, \"e\": -50}", "seed": "4180548446003326020", "semantic_fingerprint": "sha256:d0b96d23aace25d888e4e7bff4950d214a2e0b7cdaf4109ea4ce4acd4232583f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004864", "prompt": "Solve for x: 12(x - 4) + 213 = 3x + 264", "solution_steps": ["Expand: 12x - 48 + 213 = 3x + 264", "Combine constants: 12x + 165 = 3x + 264", "Subtract 3x from both sides: 9x + 165 = 264", "Subtract 165 from both sides: 9x = 99", "Divide both sides by 9: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 4) + 213 = 3x + 264", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": 213, \"d\": 3, \"f\": 264, \"x\": 11}", "seed": "13725134386915559259", "semantic_fingerprint": "sha256:6ac13a9ef6a2b6a206e94cb9d97c6f40bdf62e1479e9d8aa77a9151d7584f8e3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004865", "prompt": "Solve the equation x - 9 = 3(x - 86) + 265 for x.", "solution_steps": ["Expand: x - 9 = 3x - 258 + 265", "Combine constants: x - 9 = 3x + 7", "Subtract 3x from both sides: -2x - 9 = 7", "Add 9 to both sides: -2x = 16", "Divide both sides by -2: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9 = 3(x - 86) + 265", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 86, \"e\": 265, \"x\": -8}", "seed": "10650881446945638064", "semantic_fingerprint": "sha256:e4e2072d6d6e9affc8620a7e3aa46499748bcc339038eb588f4e0e933e592275", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004866", "prompt": "Solve the equation -9(x - 33) - 6 = -11(x - 37) - 156 for x.", "solution_steps": ["Expand: -9x + 297 - 6 = -11(x - 37) - 156", "Expand: -9x + 297 - 6 = -11x + 407 - 156", "Combine constants: -9x + 291 = -11x + 407 - 156", "Combine constants: -9x + 291 = -11x + 251", "Add 11x to both sides: 2x + 291 = 251", "Subtract 291 from both sides: 2x = -40", "Divide both sides by 2: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 33) - 6 = -11(x - 37) - 156", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 33, \"c\": 6, \"d\": -11, \"e\": 37, \"g\": -156, \"x\": -20}", "seed": "15776224611403033013", "semantic_fingerprint": "sha256:e843a953b8a3257c76e49bcd3873b965c2163f6b80309dc0cd23f70a2864ac76", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004867", "prompt": "What is (7 + 31) / (743 + (-2 - 34))?", "solution_steps": ["Add: 7 + 31 = 38", "Subtract: -2 - 34 = -36", "Add: 743 + (-36) = 707", "Divide: 38 / 707 = 38/707"], "final_answer": "38/707", "answer_type": "rational", "kind": "expression", "math_text": "(7 + 31) / (743 + (-2 - 34))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 31, \"c\": 743, \"d\": -2, \"e\": 34}", "seed": "6496149675627268705", "semantic_fingerprint": "sha256:3ac3cd9a671622dc55d36747c576bd084353adecfd59d5063fc06f21b74d7702", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004868", "prompt": "What is -6 + 4 + (-36) - (-48) / 9?", "solution_steps": ["Add: -6 + 4 = -2", "Add: -2 + (-36) = -38", "Divide: -48 / 9 = -16/3", "Subtract: -38 - (-16/3) = -98/3"], "final_answer": "-98/3", "answer_type": "rational", "kind": "expression", "math_text": "-6 + 4 + (-36) - (-48) / 9", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4, \"c\": -36, \"d\": -48, \"e\": 9}", "seed": "2997653252105363798", "semantic_fingerprint": "sha256:9e37dfbf291e3a5fe88e2df57906e23e52eb9cbd1723cec4129822e01f35b3eb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004869", "prompt": "Solve the equation 7(x - 7) + 6 = 3(x - 9) for x.", "solution_steps": ["Expand: 7x - 49 + 6 = 3(x - 9)", "Expand: 7x - 49 + 6 = 3x - 27", "Combine constants: 7x - 43 = 3x - 27", "Subtract 3x from both sides: 4x - 43 = -27", "Add 43 to both sides: 4x = 16", "Divide both sides by 4: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 7) + 6 = 3(x - 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 3, \"d\": 9, \"f\": 6, \"x\": 4}", "seed": "12421710534793529039", "semantic_fingerprint": "sha256:ae0d098a538411cff3110f8c4f99524efbd5dd93a7d4f524d022ff542447fe72", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004870", "prompt": "What value of x satisfies 10(x - 1) + 8 = 2x + 3?", "solution_steps": ["Expand: 10x - 10 + 8 = 2x + 3", "Combine constants: 10x - 2 = 2x + 3", "Subtract 2x from both sides: 8x - 2 = 3", "Add 2 to both sides: 8x = 5", "Divide both sides by 8: x = 5/8"], "final_answer": "5/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 1) + 8 = 2x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 1, \"c\": 8, \"d\": 2, \"e\": 3}", "seed": "7643427540561069515", "semantic_fingerprint": "sha256:e8c3d4f1c33815584ab4e498a71497429d17467926c1e17bc0364573f23b680d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004871", "prompt": "Solve the equation 6(x - 7) - 99 = 8(x - 5) - 93 for x.", "solution_steps": ["Expand: 6x - 42 - 99 = 8(x - 5) - 93", "Expand: 6x - 42 - 99 = 8x - 40 - 93", "Combine constants: 6x - 141 = 8x - 40 - 93", "Combine constants: 6x - 141 = 8x - 133", "Subtract 8x from both sides: -2x - 141 = -133", "Add 141 to both sides: -2x = 8", "Divide both sides by -2: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 7) - 99 = 8(x - 5) - 93", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": 99, \"d\": 8, \"e\": 5, \"g\": -93, \"x\": -4}", "seed": "1612995720549573811", "semantic_fingerprint": "sha256:6bccb5c490cdedc7489f310364673d002a68c1841305b6c94224910e465bc914", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004872", "prompt": "Evaluate: -493 + (-46) + (1 - 9) + (2 - 30)", "solution_steps": ["Add: -493 + (-46) = -539", "Subtract: 1 - 9 = -8", "Add: -539 + (-8) = -547", "Subtract: 2 - 30 = -28", "Add: -547 + (-28) = -575"], "final_answer": "-575", "answer_type": "integer", "kind": "expression", "math_text": "-493 + (-46) + (1 - 9) + (2 - 30)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ n n) (- n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -493, \"b\": -46, \"c\": 1, \"d\": 9, \"e\": 2, \"f\": 30}", "seed": "15248404499654211786", "semantic_fingerprint": "sha256:0510c6715728b45f7658f67c5485cd69fbbd21411d2f8274c3b258ce5a94dc2d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004873", "prompt": "What is 8 * (6 - (8 + (22 + (-8)))) * (-3)?", "solution_steps": ["Add: 22 + (-8) = 14", "Add: 8 + 14 = 22", "Subtract: 6 - 22 = -16", "Multiply: 8 * (-16) = -128", "Multiply: -128 * (-3) = 384"], "final_answer": "384", "answer_type": "integer", "kind": "expression", "math_text": "8 * (6 - (8 + (22 + (-8)))) * (-3)", "variable": null, "family": "expression_5op", "shape": "(* (* n (- n (+ n (+ n n)))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6, \"c\": 8, \"d\": 22, \"e\": -8, \"f\": -3}", "seed": "11597398184273070565", "semantic_fingerprint": "sha256:d3b3e673b574cc92c32ebea89485bd58109412cd96f98e346000873232e1b39f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004874", "prompt": "Solve for x: -9(x - 19) + 90 = -10x + 274", "solution_steps": ["Expand: -9x + 171 + 90 = -10x + 274", "Combine constants: -9x + 261 = -10x + 274", "Add 10x to both sides: x + 261 = 274", "Subtract 261 from both sides: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 19) + 90 = -10x + 274", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 19, \"c\": 90, \"d\": -10, \"f\": 274, \"x\": 13}", "seed": "15844497961738663940", "semantic_fingerprint": "sha256:9ec1863b79c8fafb8b8de1b34a95d54c52546d7277db6c4d43d9992f6c313fea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004875", "prompt": "Evaluate: (954 - (-3)) * (-7 / (-52))", "solution_steps": ["Subtract: 954 - (-3) = 957", "Divide: -7 / (-52) = 7/52", "Multiply: 957 * (7/52) = 6699/52"], "final_answer": "6699/52", "answer_type": "rational", "kind": "expression", "math_text": "(954 - (-3)) * (-7 / (-52))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 954, \"b\": -3, \"c\": -7, \"d\": -52}", "seed": "9268462166072606979", "semantic_fingerprint": "sha256:7029df4ba9a8b5b0bb498a6a5597826164b151a60393f4201ef2a8662d8935e3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004876", "prompt": "Calculate: -29 * (-56 - (69 - (-2) * (-8)))", "solution_steps": ["Multiply: -2 * (-8) = 16", "Subtract: 69 - 16 = 53", "Subtract: -56 - 53 = -109", "Multiply: -29 * (-109) = 3161"], "final_answer": "3161", "answer_type": "integer", "kind": "expression", "math_text": "-29 * (-56 - (69 - (-2) * (-8)))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (- n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": -56, \"c\": 69, \"d\": -2, \"e\": -8}", "seed": "12198298508721078952", "semantic_fingerprint": "sha256:29185c00a19b3df34f41ff561520027d62ef86c3fd5e980a142bd22f4eb58e9f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004877", "prompt": "Solve the equation -4(x - 9) + 16 = 2(x - 7) for x.", "solution_steps": ["Expand: -4x + 36 + 16 = 2(x - 7)", "Expand: -4x + 36 + 16 = 2x - 14", "Combine constants: -4x + 52 = 2x - 14", "Subtract 2x from both sides: -6x + 52 = -14", "Subtract 52 from both sides: -6x = -66", "Divide both sides by -6: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 9) + 16 = 2(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 9, \"c\": 2, \"d\": 7, \"f\": 16, \"x\": 11}", "seed": "14696174162411600417", "semantic_fingerprint": "sha256:2f64b1629db99aa4866e9bb507eb10dd26aa12fcca777c50bcca887a53765184", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004878", "prompt": "Compute: 442 + 4 - (23 + 666)", "solution_steps": ["Add: 442 + 4 = 446", "Add: 23 + 666 = 689", "Subtract: 446 - 689 = -243"], "final_answer": "-243", "answer_type": "integer", "kind": "expression", "math_text": "442 + 4 - (23 + 666)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 442, \"b\": 4, \"c\": 23, \"d\": 666}", "seed": "6977807606959374773", "semantic_fingerprint": "sha256:eb4c43f4e76b5741a481703eae39797f35e45353d6c73cdd0511dcaa4a2a0c4a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004879", "prompt": "Calculate: (747 + 735) / (-1 / (-8))", "solution_steps": ["Add: 747 + 735 = 1482", "Divide: -1 / (-8) = 1/8", "Divide: 1482 / (1/8) = 11856"], "final_answer": "11856", "answer_type": "integer", "kind": "expression", "math_text": "(747 + 735) / (-1 / (-8))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 747, \"b\": 735, \"c\": -1, \"d\": -8}", "seed": "1342896004037330467", "semantic_fingerprint": "sha256:2a3458ebd99056614dd11d732b11552130ee928a07f1e06bc505f578f8015250", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004880", "prompt": "Solve for x: 11(x + 1) - 173 = x - 6", "solution_steps": ["Expand: 11x + 11 - 173 = x - 6", "Combine constants: 11x - 162 = x - 6", "Subtract x from both sides: 10x - 162 = -6", "Add 162 to both sides: 10x = 156", "Divide both sides by 10: x = 78/5"], "final_answer": "78/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 1) - 173 = x - 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 1, \"c\": 173, \"d\": 6}", "seed": "16218971860968865908", "semantic_fingerprint": "sha256:8e101d8c0aaead4ecfdba0f9a30356fc6f87b0ab2a8f1438bed9e7e46f09c2f9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004881", "prompt": "Evaluate: 7 * ((55 - 9 / (-1)) / (-610))", "solution_steps": ["Divide: 9 / (-1) = -9", "Subtract: 55 - (-9) = 64", "Divide: 64 / (-610) = -32/305", "Multiply: 7 * (-32/305) = -224/305"], "final_answer": "-224/305", "answer_type": "rational", "kind": "expression", "math_text": "7 * ((55 - 9 / (-1)) / (-610))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 55, \"c\": 9, \"d\": -1, \"e\": -610}", "seed": "5809352223440972875", "semantic_fingerprint": "sha256:342cc354be4461e3534b516b86f2c442e0d42030669dee08666246d5bdb13041", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004882", "prompt": "Find x: 3(x - 26) + 73 = 5(x + 4) - 8", "solution_steps": ["Expand: 3x - 78 + 73 = 5(x + 4) - 8", "Expand: 3x - 78 + 73 = 5x + 20 - 8", "Combine constants: 3x - 5 = 5x + 20 - 8", "Combine constants: 3x - 5 = 5x + 12", "Subtract 5x from both sides: -2x - 5 = 12", "Add 5 to both sides: -2x = 17", "Divide both sides by -2: x = -17/2"], "final_answer": "-17/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 26) + 73 = 5(x + 4) - 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 26, \"c\": 73, \"d\": 5, \"e\": 4, \"f\": 8}", "seed": "15775596173323388456", "semantic_fingerprint": "sha256:26ce10a44eadbfa024f74ef7fb4a262ad7282a45aed8eb212692e475d12bd517", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004883", "prompt": "Find x: 9(x + 8) - 573 = x - 533", "solution_steps": ["Expand: 9x + 72 - 573 = x - 533", "Combine constants: 9x - 501 = x - 533", "Subtract x from both sides: 8x - 501 = -533", "Add 501 to both sides: 8x = -32", "Divide both sides by 8: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 8) - 573 = x - 533", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 573, \"e\": -533, \"x\": -4}", "seed": "925220904997676602", "semantic_fingerprint": "sha256:a947e6d99abef805445dc99c8cbd1d3dd941da7599295b21b6af5fe72f4db70f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004884", "prompt": "Evaluate: -85 - 7 / (-52 / 90)", "solution_steps": ["Divide: -52 / 90 = -26/45", "Divide: 7 / (-26/45) = -315/26", "Subtract: -85 - (-315/26) = -1895/26"], "final_answer": "-1895/26", "answer_type": "rational", "kind": "expression", "math_text": "-85 - 7 / (-52 / 90)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": 7, \"c\": -52, \"d\": 90}", "seed": "16379691803946994881", "semantic_fingerprint": "sha256:4f528c75af54281ce0a2baa562b92641e12228ba30546e6670594895883c81a9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004885", "prompt": "What is -65 / (-779 / 6 - (-4 - 9 + (-86)))?", "solution_steps": ["Divide: -779 / 6 = -779/6", "Subtract: -4 - 9 = -13", "Add: -13 + (-86) = -99", "Subtract: -779/6 - (-99) = -185/6", "Divide: -65 / (-185/6) = 78/37"], "final_answer": "78/37", "answer_type": "rational", "kind": "expression", "math_text": "-65 / (-779 / 6 - (-4 - 9 + (-86)))", "variable": null, "family": "expression_5op", "shape": "(/ n (- (/ n n) (+ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -779, \"c\": 6, \"d\": -4, \"e\": 9, \"f\": -86}", "seed": "1811805675202865455", "semantic_fingerprint": "sha256:5f5dc97db7c3c4c36ecc3ab7a607307f4bdc75749143705b40e69d5776780c05", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004886", "prompt": "Calculate: -96 + (-60 / (-61) + (-3)) * 0", "solution_steps": ["Divide: -60 / (-61) = 60/61", "Add: 60/61 + (-3) = -123/61", "Multiply: (-123/61) * 0 = 0", "Add: -96 + 0 = -96"], "final_answer": "-96", "answer_type": "integer", "kind": "expression", "math_text": "-96 + (-60 / (-61) + (-3)) * 0", "variable": null, "family": "expression_4op", "shape": "(+ n (* (+ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": -60, \"c\": -61, \"d\": -3, \"e\": 0}", "seed": "12147870618701883396", "semantic_fingerprint": "sha256:e8f6dc8e5977ae0432c30896ae7624338d6f2b1689993f6eb30d6c3204fd699f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004887", "prompt": "Calculate: -217 * 944 + 683 * (-71) * (0 * 622)", "solution_steps": ["Multiply: -217 * 944 = -204848", "Multiply: 683 * (-71) = -48493", "Multiply: 0 * 622 = 0", "Multiply: -48493 * 0 = 0", "Add: -204848 + 0 = -204848"], "final_answer": "-204848", "answer_type": "integer", "kind": "expression", "math_text": "-217 * 944 + 683 * (-71) * (0 * 622)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (* (* n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -217, \"b\": 944, \"c\": 683, \"d\": -71, \"e\": 0, \"f\": 622}", "seed": "1399001003798935626", "semantic_fingerprint": "sha256:0b494a8745abd595a60ec29389227bf596dd10510619b47bcc9921b31d4131f5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004888", "prompt": "Find x: 8(x - 95) = 9x - 776", "solution_steps": ["Expand: 8x - 760 = 9x - 776", "Subtract 9x from both sides: -x - 760 = -776", "Add 760 to both sides: -x = -16", "Divide both sides by -1: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 95) = 9x - 776", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 95, \"c\": 9, \"e\": -776, \"x\": 16}", "seed": "14077239193346477987", "semantic_fingerprint": "sha256:f5a4c3b83a66b22c31794cf5ec88bd573ebe1064d9c39c28f57f4737e4dfb155", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004889", "prompt": "Evaluate: 7 - 5 + (18 * (-99 - 74) - 0)", "solution_steps": ["Subtract: 7 - 5 = 2", "Subtract: -99 - 74 = -173", "Multiply: 18 * (-173) = -3114", "Subtract: -3114 - 0 = -3114", "Add: 2 + (-3114) = -3112"], "final_answer": "-3112", "answer_type": "integer", "kind": "expression", "math_text": "7 - 5 + (18 * (-99 - 74) - 0)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (- (* n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 18, \"d\": -99, \"e\": 74, \"f\": 0}", "seed": "18080099124390156141", "semantic_fingerprint": "sha256:557af3f220dafb050a65e1776204f4953dc5de367e35aa368f0e5b161a97b2df", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004890", "prompt": "What value of x satisfies 9(x - 3) - 6 = 12(x - 341) - 8?", "solution_steps": ["Expand: 9x - 27 - 6 = 12(x - 341) - 8", "Expand: 9x - 27 - 6 = 12x - 4092 - 8", "Combine constants: 9x - 33 = 12x - 4092 - 8", "Combine constants: 9x - 33 = 12x - 4100", "Subtract 12x from both sides: -3x - 33 = -4100", "Add 33 to both sides: -3x = -4067", "Divide both sides by -3: x = 4067/3"], "final_answer": "4067/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 3) - 6 = 12(x - 341) - 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 6, \"d\": 12, \"e\": 341, \"f\": 8}", "seed": "1644609208670797797", "semantic_fingerprint": "sha256:6ab7778b7a65c47ae61937c8c18a8422a385b4c2f7eb8cc3a91a520d69d14eb0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004891", "prompt": "Evaluate: -996 / ((-37 - 4) / 746) - 27", "solution_steps": ["Subtract: -37 - 4 = -41", "Divide: -41 / 746 = -41/746", "Divide: -996 / (-41/746) = 743016/41", "Subtract: 743016/41 - 27 = 741909/41"], "final_answer": "741909/41", "answer_type": "rational", "kind": "expression", "math_text": "-996 / ((-37 - 4) / 746) - 27", "variable": null, "family": "expression_4op", "shape": "(- (/ n (/ (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -996, \"b\": -37, \"c\": 4, \"d\": 746, \"e\": 27}", "seed": "1110556072174643505", "semantic_fingerprint": "sha256:f5264c6f1de3fe0a7cb6037d2f2643d014335ab8f9a3c0d195dd615faf865ed9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004892", "prompt": "Evaluate: 39 + (-546 / 30 + (70 * 330 - 9))", "solution_steps": ["Divide: -546 / 30 = -91/5", "Multiply: 70 * 330 = 23100", "Subtract: 23100 - 9 = 23091", "Add: -91/5 + 23091 = 115364/5", "Add: 39 + 115364/5 = 115559/5"], "final_answer": "115559/5", "answer_type": "rational", "kind": "expression", "math_text": "39 + (-546 / 30 + (70 * 330 - 9))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (/ n n) (- (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": -546, \"c\": 30, \"d\": 70, \"e\": 330, \"f\": 9}", "seed": "17146643782792246906", "semantic_fingerprint": "sha256:05f11c2c9eace3545844b92a8d1e97b33cee2cc2f600e6da93af46dee32a562e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004893", "prompt": "What value of x satisfies 3(x - 6) - 3 = -5(x - 3)?", "solution_steps": ["Expand: 3x - 18 - 3 = -5(x - 3)", "Expand: 3x - 18 - 3 = -5x + 15", "Combine constants: 3x - 21 = -5x + 15", "Add 5x to both sides: 8x - 21 = 15", "Add 21 to both sides: 8x = 36", "Divide both sides by 8: x = 9/2"], "final_answer": "9/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 6) - 3 = -5(x - 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 3, \"d\": -5, \"e\": 3}", "seed": "15587740181610780522", "semantic_fingerprint": "sha256:b60f0edc35584a15f14cb721af8d1a61c7adb0ed94cf0bc4fcb53eebdb6c94f5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004894", "prompt": "Compute: -47 * 97 / (627 + (-60))", "solution_steps": ["Multiply: -47 * 97 = -4559", "Add: 627 + (-60) = 567", "Divide: -4559 / 567 = -4559/567"], "final_answer": "-4559/567", "answer_type": "rational", "kind": "expression", "math_text": "-47 * 97 / (627 + (-60))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 97, \"c\": 627, \"d\": -60}", "seed": "2986105604582695937", "semantic_fingerprint": "sha256:2f284c274f3ea68a3e847ece6fb134144b779f2903b064771b2b5c321949ffb0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004895", "prompt": "Evaluate: 0 * (54 * (3 - (-6)))", "solution_steps": ["Subtract: 3 - (-6) = 9", "Multiply: 54 * 9 = 486", "Multiply: 0 * 486 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (54 * (3 - (-6)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 54, \"c\": 3, \"d\": -6}", "seed": "7596944775609817043", "semantic_fingerprint": "sha256:f95d1d32bb9a7c1aef4fd3e4e504022f5fc037a371e5a6a69ecbf786c71447d8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004896", "prompt": "Solve the equation 3(x - 23) + 150 = 9(x - 1) for x.", "solution_steps": ["Expand: 3x - 69 + 150 = 9(x - 1)", "Expand: 3x - 69 + 150 = 9x - 9", "Combine constants: 3x + 81 = 9x - 9", "Subtract 9x from both sides: -6x + 81 = -9", "Subtract 81 from both sides: -6x = -90", "Divide both sides by -6: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 23) + 150 = 9(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 23, \"c\": 9, \"d\": 1, \"f\": 150, \"x\": 15}", "seed": "18227302154185887476", "semantic_fingerprint": "sha256:8893ee4e0eb8799ad4fc2ca1b03eb79bd45ce8f5c7bf0e868b10a20235fe8b3e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004897", "prompt": "What value of x satisfies 12x - 86 = 2(x + 7) + 7?", "solution_steps": ["Expand: 12x - 86 = 2x + 14 + 7", "Combine constants: 12x - 86 = 2x + 21", "Subtract 2x from both sides: 10x - 86 = 21", "Add 86 to both sides: 10x = 107", "Divide both sides by 10: x = 107/10"], "final_answer": "107/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 86 = 2(x + 7) + 7", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 86, \"c\": 2, \"d\": 7, \"e\": 7}", "seed": "54732668874830375", "semantic_fingerprint": "sha256:23dc76b71a9cfb3e244d5ed571a4fea87e712d332de05b8152a6ad648b63138e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004898", "prompt": "What value of x satisfies 8(x - 978) - 716 = 10(x - 855)?", "solution_steps": ["Expand: 8x - 7824 - 716 = 10(x - 855)", "Expand: 8x - 7824 - 716 = 10x - 8550", "Combine constants: 8x - 8540 = 10x - 8550", "Subtract 10x from both sides: -2x - 8540 = -8550", "Add 8540 to both sides: -2x = -10", "Divide both sides by -2: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 978) - 716 = 10(x - 855)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 978, \"c\": 10, \"d\": 855, \"f\": -716, \"x\": 5}", "seed": "4669089861685612741", "semantic_fingerprint": "sha256:42fddabf7fffa07349677300ac18340557cc9cddc680e1ede8d87b7f03ea77a8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004899", "prompt": "Calculate: 8 * (-270) / (68 + (-81))", "solution_steps": ["Multiply: 8 * (-270) = -2160", "Add: 68 + (-81) = -13", "Divide: -2160 / (-13) = 2160/13"], "final_answer": "2160/13", "answer_type": "rational", "kind": "expression", "math_text": "8 * (-270) / (68 + (-81))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -270, \"c\": 68, \"d\": -81}", "seed": "11434069090615067192", "semantic_fingerprint": "sha256:a050fd1abdc910774df8c7021a9b826c8863bd2643babad5d2e06ab022bf8599", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004900", "prompt": "Solve for x: -2(x - 7) + 63 = 10x + 149", "solution_steps": ["Expand: -2x + 14 + 63 = 10x + 149", "Combine constants: -2x + 77 = 10x + 149", "Subtract 10x from both sides: -12x + 77 = 149", "Subtract 77 from both sides: -12x = 72", "Divide both sides by -12: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 7) + 63 = 10x + 149", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 7, \"c\": 63, \"d\": 10, \"f\": 149, \"x\": -6}", "seed": "9015365042119749339", "semantic_fingerprint": "sha256:67aca710ef23b4dac52cfa51585198f726173ffdf0d6a8f0e7c70d5748fc31ac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004901", "prompt": "Evaluate: -637 + 655 - (788 + 156)", "solution_steps": ["Add: -637 + 655 = 18", "Add: 788 + 156 = 944", "Subtract: 18 - 944 = -926"], "final_answer": "-926", "answer_type": "integer", "kind": "expression", "math_text": "-637 + 655 - (788 + 156)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -637, \"b\": 655, \"c\": 788, \"d\": 156}", "seed": "10394614938490277456", "semantic_fingerprint": "sha256:eec9e21696a1d61963b1fd9b170a3fce75bd426a64df0e1dbb21ddd582223f22", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004902", "prompt": "Calculate: 6 - (69 + 5) + 51", "solution_steps": ["Add: 69 + 5 = 74", "Subtract: 6 - 74 = -68", "Add: -68 + 51 = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "expression", "math_text": "6 - (69 + 5) + 51", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 69, \"c\": 5, \"d\": 51}", "seed": "17689875337664851724", "semantic_fingerprint": "sha256:fd0c21ec866e797e7c85dceb9d92c212e9482bb624c0f7ca980ce0acac656cc7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004903", "prompt": "Evaluate: -54 * (-21) / (4 + (-398))", "solution_steps": ["Multiply: -54 * (-21) = 1134", "Add: 4 + (-398) = -394", "Divide: 1134 / (-394) = -567/197"], "final_answer": "-567/197", "answer_type": "rational", "kind": "expression", "math_text": "-54 * (-21) / (4 + (-398))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": -21, \"c\": 4, \"d\": -398}", "seed": "9506468867513879390", "semantic_fingerprint": "sha256:6c914deb1a54c1096399f98bcd916da882d6b31d94909b4553a56a128e23dd0d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004904", "prompt": "Evaluate: 84 / (3 - 47 - 49)", "solution_steps": ["Subtract: 3 - 47 = -44", "Subtract: -44 - 49 = -93", "Divide: 84 / (-93) = -28/31"], "final_answer": "-28/31", "answer_type": "rational", "kind": "expression", "math_text": "84 / (3 - 47 - 49)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": 3, \"c\": 47, \"d\": 49}", "seed": "12121533825078643074", "semantic_fingerprint": "sha256:cf4e8e3b097ce1fe4208a06750e228b810c5aba15a1a708047bbdaccacc3dce8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004905", "prompt": "What value of x satisfies 6(x - 6) = 10x - 32?", "solution_steps": ["Expand: 6x - 36 = 10x - 32", "Subtract 10x from both sides: -4x - 36 = -32", "Add 36 to both sides: -4x = 4", "Divide both sides by -4: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 6) = 10x - 32", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 10, \"e\": -32, \"x\": -1}", "seed": "12986686140047428108", "semantic_fingerprint": "sha256:75ce3332e22ce0c201765b358c77e7df55a59dfd5ab66ced0a842a84253821ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004906", "prompt": "Solve for x: 10(x + 97) + 50 = 8(x + 7) - 76", "solution_steps": ["Expand: 10x + 970 + 50 = 8(x + 7) - 76", "Expand: 10x + 970 + 50 = 8x + 56 - 76", "Combine constants: 10x + 1020 = 8x + 56 - 76", "Combine constants: 10x + 1020 = 8x - 20", "Subtract 8x from both sides: 2x + 1020 = -20", "Subtract 1020 from both sides: 2x = -1040", "Divide both sides by 2: x = -520"], "final_answer": "-520", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 97) + 50 = 8(x + 7) - 76", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 97, \"c\": 50, \"d\": 8, \"e\": 7, \"f\": 76}", "seed": "17993014201414868793", "semantic_fingerprint": "sha256:ed5ac84fa9e4b1fd0dd5f26066cec06bed35ef9e20222c9082ddd0542c26e52e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004907", "prompt": "What is 2 - 953 + (-49 - (-766)) - (-93)?", "solution_steps": ["Subtract: 2 - 953 = -951", "Subtract: -49 - (-766) = 717", "Add: -951 + 717 = -234", "Subtract: -234 - (-93) = -141"], "final_answer": "-141", "answer_type": "integer", "kind": "expression", "math_text": "2 - 953 + (-49 - (-766)) - (-93)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 953, \"c\": -49, \"d\": -766, \"e\": -93}", "seed": "12349959106273882064", "semantic_fingerprint": "sha256:4300e5e1c38664cd2abf94aca8b9827d4342477b71a15c0d30ec6145abff9bb0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004908", "prompt": "What is 1 - (4 - 6 * (-3) + (-827))?", "solution_steps": ["Multiply: 6 * (-3) = -18", "Subtract: 4 - (-18) = 22", "Add: 22 + (-827) = -805", "Subtract: 1 - (-805) = 806"], "final_answer": "806", "answer_type": "integer", "kind": "expression", "math_text": "1 - (4 - 6 * (-3) + (-827))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (- n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 4, \"c\": 6, \"d\": -3, \"e\": -827}", "seed": "9941918703441571014", "semantic_fingerprint": "sha256:b59125a058d232568637dda38327f7f69719d287349e40dd639f2faec2616d02", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004909", "prompt": "Solve for x: x - 18 = 6(x - 54) + 256", "solution_steps": ["Expand: x - 18 = 6x - 324 + 256", "Combine constants: x - 18 = 6x - 68", "Subtract 6x from both sides: -5x - 18 = -68", "Add 18 to both sides: -5x = -50", "Divide both sides by -5: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 18 = 6(x - 54) + 256", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 6, \"c\": 54, \"e\": 256, \"x\": 10}", "seed": "10869301515187590097", "semantic_fingerprint": "sha256:a997e6665d43dffcb72434e8f138fbbfc0be5103533cb8f38b2b54c20ec96199", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004910", "prompt": "What value of x satisfies 12(x - 5) + 5 = 9(x + 95) - 862?", "solution_steps": ["Expand: 12x - 60 + 5 = 9(x + 95) - 862", "Expand: 12x - 60 + 5 = 9x + 855 - 862", "Combine constants: 12x - 55 = 9x + 855 - 862", "Combine constants: 12x - 55 = 9x - 7", "Subtract 9x from both sides: 3x - 55 = -7", "Add 55 to both sides: 3x = 48", "Divide both sides by 3: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 5) + 5 = 9(x + 95) - 862", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 5, \"d\": 9, \"e\": 95, \"g\": -862, \"x\": 16}", "seed": "10258130684667292418", "semantic_fingerprint": "sha256:ef48eeaeecea1d3f64a08a92779b3fc8c3ada3b29659c79cb56181739962b77a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004911", "prompt": "Compute: -9 / (34 / (57 * 7))", "solution_steps": ["Multiply: 57 * 7 = 399", "Divide: 34 / 399 = 34/399", "Divide: -9 / (34/399) = -3591/34"], "final_answer": "-3591/34", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (34 / (57 * 7))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 34, \"c\": 57, \"d\": 7}", "seed": "4934328237256430586", "semantic_fingerprint": "sha256:9358b6e34d1cfb7de9edc515223c54ee5c3b06b5d782a7726c227628dbcf27ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004912", "prompt": "Solve for x: -10(x - 63) = 5x - 187", "solution_steps": ["Expand: -10x + 630 = 5x - 187", "Subtract 5x from both sides: -15x + 630 = -187", "Subtract 630 from both sides: -15x = -817", "Divide both sides by -15: x = 817/15"], "final_answer": "817/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 63) = 5x - 187", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 63, \"c\": 5, \"d\": 187}", "seed": "1906701414744382633", "semantic_fingerprint": "sha256:d778339250164afbc9e844ca69fa7070b4b4978696f2d19a87102264fdc42ad2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004913", "prompt": "What value of x satisfies x - 5 = 12(x - 36) + 559?", "solution_steps": ["Expand: x - 5 = 12x - 432 + 559", "Combine constants: x - 5 = 12x + 127", "Subtract 12x from both sides: -11x - 5 = 127", "Add 5 to both sides: -11x = 132", "Divide both sides by -11: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5 = 12(x - 36) + 559", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 12, \"c\": 36, \"e\": 559, \"x\": -12}", "seed": "6995026109439130183", "semantic_fingerprint": "sha256:a04739cd497bcaea0e3b91a0f91fc6aae26f73ee853bf850a7709eb342b30347", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004914", "prompt": "Solve for x: 3(x - 6) + 13 = 2(x - 6)", "solution_steps": ["Expand: 3x - 18 + 13 = 2(x - 6)", "Expand: 3x - 18 + 13 = 2x - 12", "Combine constants: 3x - 5 = 2x - 12", "Subtract 2x from both sides: x - 5 = -12", "Add 5 to both sides: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 6) + 13 = 2(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 2, \"d\": 6, \"f\": 13, \"x\": -7}", "seed": "7219893491106364170", "semantic_fingerprint": "sha256:9bfb4c19ba373a0f223470d6be74f975e5808d9d98ec8694d2743ff12bb5e1c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004915", "prompt": "Evaluate: -9 + (-259) + 9 * (29 / (-89) / (-7))", "solution_steps": ["Add: -9 + (-259) = -268", "Divide: 29 / (-89) = -29/89", "Divide: (-29/89) / (-7) = 29/623", "Multiply: 9 * (29/623) = 261/623", "Add: -268 + 261/623 = -166703/623"], "final_answer": "-166703/623", "answer_type": "rational", "kind": "expression", "math_text": "-9 + (-259) + 9 * (29 / (-89) / (-7))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (* n (/ (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -259, \"c\": 9, \"d\": 29, \"e\": -89, \"f\": -7}", "seed": "14472170065881498241", "semantic_fingerprint": "sha256:afe9fbdd4c5944fe9f9d3bfbfd2b63b4b42e1872370fbba94fffb5c4564b23cf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004916", "prompt": "Calculate: -1 / (-649 * (-4)) - 1", "solution_steps": ["Multiply: -649 * (-4) = 2596", "Divide: -1 / 2596 = -1/2596", "Subtract: -1/2596 - 1 = -2597/2596"], "final_answer": "-2597/2596", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-649 * (-4)) - 1", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -649, \"c\": -4, \"d\": 1}", "seed": "6834115214559866416", "semantic_fingerprint": "sha256:5e0617500cf05c9f37b61ca57461338e6f37f2e547a43ead670f15ebdf27c901", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004917", "prompt": "Solve the equation -4(x + 784) - 52 = x - 49 for x.", "solution_steps": ["Expand: -4x - 3136 - 52 = x - 49", "Combine constants: -4x - 3188 = x - 49", "Subtract x from both sides: -5x - 3188 = -49", "Add 3188 to both sides: -5x = 3139", "Divide both sides by -5: x = -3139/5"], "final_answer": "-3139/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 784) - 52 = x - 49", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 784, \"c\": 52, \"d\": 49}", "seed": "907071412595881941", "semantic_fingerprint": "sha256:1203a9346eea2e5d701fdba26bc1b31aca5524fb7a0c7d493265433979f11611", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004918", "prompt": "Find x: 8(x - 3) - 90 = -3(x - 1) - 282", "solution_steps": ["Expand: 8x - 24 - 90 = -3(x - 1) - 282", "Expand: 8x - 24 - 90 = -3x + 3 - 282", "Combine constants: 8x - 114 = -3x + 3 - 282", "Combine constants: 8x - 114 = -3x - 279", "Add 3x to both sides: 11x - 114 = -279", "Add 114 to both sides: 11x = -165", "Divide both sides by 11: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 3) - 90 = -3(x - 1) - 282", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 90, \"d\": -3, \"e\": 1, \"g\": -282, \"x\": -15}", "seed": "9899563972338585913", "semantic_fingerprint": "sha256:a2fb3f083b7f9e68e645ff33ee04635a5367b5ffe6c09bf4bb6e718c8630ba56", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004919", "prompt": "Solve for x: -3(x + 7) - 5 = x - 102", "solution_steps": ["Expand: -3x - 21 - 5 = x - 102", "Combine constants: -3x - 26 = x - 102", "Subtract x from both sides: -4x - 26 = -102", "Add 26 to both sides: -4x = -76", "Divide both sides by -4: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 7) - 5 = x - 102", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 7, \"c\": 5, \"e\": -102, \"x\": 19}", "seed": "3195666339115031662", "semantic_fingerprint": "sha256:fbc9b3259f5f2e007cbb151a0bef6452cba461ccec91890ca168c6244a0165cf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004920", "prompt": "Solve for x: 10(x - 7) + 5 = 4x + 25", "solution_steps": ["Expand: 10x - 70 + 5 = 4x + 25", "Combine constants: 10x - 65 = 4x + 25", "Subtract 4x from both sides: 6x - 65 = 25", "Add 65 to both sides: 6x = 90", "Divide both sides by 6: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 7) + 5 = 4x + 25", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7, \"c\": 5, \"d\": 4, \"f\": 25, \"x\": 15}", "seed": "12744140360768036018", "semantic_fingerprint": "sha256:62da803877206ef6c7b1a01b457338afccebf029f89af8321fb79ba1a52c13e3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004921", "prompt": "Calculate: -16 * (-76) / (-304 + (-322))", "solution_steps": ["Multiply: -16 * (-76) = 1216", "Add: -304 + (-322) = -626", "Divide: 1216 / (-626) = -608/313"], "final_answer": "-608/313", "answer_type": "rational", "kind": "expression", "math_text": "-16 * (-76) / (-304 + (-322))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": -76, \"c\": -304, \"d\": -322}", "seed": "11010515153943776448", "semantic_fingerprint": "sha256:cf88ee9a3060c132475f8875e981905a69bd952c5d292b6a9298017be7272650", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004922", "prompt": "Evaluate: 4 / (-81 * (-12)) - (-81)", "solution_steps": ["Multiply: -81 * (-12) = 972", "Divide: 4 / 972 = 1/243", "Subtract: 1/243 - (-81) = 19684/243"], "final_answer": "19684/243", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-81 * (-12)) - (-81)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -81, \"c\": -12, \"d\": -81}", "seed": "1795177414363219513", "semantic_fingerprint": "sha256:2a4c600094c9c6fd2e7fd74e7e88d956c7789382b863f10bfa813831251ad33e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004923", "prompt": "Solve the equation -3(x + 14) + 9 = 9(x + 1) - 210 for x.", "solution_steps": ["Expand: -3x - 42 + 9 = 9(x + 1) - 210", "Expand: -3x - 42 + 9 = 9x + 9 - 210", "Combine constants: -3x - 33 = 9x + 9 - 210", "Combine constants: -3x - 33 = 9x - 201", "Subtract 9x from both sides: -12x - 33 = -201", "Add 33 to both sides: -12x = -168", "Divide both sides by -12: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 14) + 9 = 9(x + 1) - 210", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 14, \"c\": 9, \"d\": 9, \"e\": 1, \"g\": -210, \"x\": 14}", "seed": "1499253236903139646", "semantic_fingerprint": "sha256:60f63915e045785d48097083f1929bc20c7c557dd48243829cdfd3250eba10d7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004924", "prompt": "What value of x satisfies 11(x - 6) = 9x - 26?", "solution_steps": ["Expand: 11x - 66 = 9x - 26", "Subtract 9x from both sides: 2x - 66 = -26", "Add 66 to both sides: 2x = 40", "Divide both sides by 2: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 6) = 9x - 26", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 6, \"c\": 9, \"e\": -26, \"x\": 20}", "seed": "157680296046194252", "semantic_fingerprint": "sha256:8438f8905fb9b6ad909af4284d849ccd37b655efa35a1bef2199cd504ba912e8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004925", "prompt": "Compute: 5 * (71 + 34 + (-5)) * 56", "solution_steps": ["Add: 71 + 34 = 105", "Add: 105 + (-5) = 100", "Multiply: 5 * 100 = 500", "Multiply: 500 * 56 = 28000"], "final_answer": "28000", "answer_type": "integer", "kind": "expression", "math_text": "5 * (71 + 34 + (-5)) * 56", "variable": null, "family": "expression_4op", "shape": "(* (* n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 71, \"c\": 34, \"d\": -5, \"e\": 56}", "seed": "9396473030126590866", "semantic_fingerprint": "sha256:a7520220b98cb7364199202a308e673011bd9ad85eeb0bcaf58fd3a2c2961083", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004926", "prompt": "Solve for x: 5(x - 2) - 30 = -2(x - 97)", "solution_steps": ["Expand: 5x - 10 - 30 = -2(x - 97)", "Expand: 5x - 10 - 30 = -2x + 194", "Combine constants: 5x - 40 = -2x + 194", "Add 2x to both sides: 7x - 40 = 194", "Add 40 to both sides: 7x = 234", "Divide both sides by 7: x = 234/7"], "final_answer": "234/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 2) - 30 = -2(x - 97)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 30, \"d\": -2, \"e\": 97}", "seed": "8356571429683548451", "semantic_fingerprint": "sha256:c9d3ca0f910f59202cff010b2a02b132dda7f62ce368b4c0032e6036de323bb9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004927", "prompt": "What is -489 * (-5 / 88) - (-8) * 90 / 7?", "solution_steps": ["Divide: -5 / 88 = -5/88", "Multiply: -489 * (-5/88) = 2445/88", "Multiply: -8 * 90 = -720", "Divide: -720 / 7 = -720/7", "Subtract: 2445/88 - (-720/7) = 80475/616"], "final_answer": "80475/616", "answer_type": "rational", "kind": "expression", "math_text": "-489 * (-5 / 88) - (-8) * 90 / 7", "variable": null, "family": "expression_5op", "shape": "(- (* n (/ n n)) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -489, \"b\": -5, \"c\": 88, \"d\": -8, \"e\": 90, \"f\": 7}", "seed": "9294058867697134020", "semantic_fingerprint": "sha256:d1376f6a6872ac0ca11bed00c571119d7d5f7a7def333cd376c472d2f18f7f72", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004928", "prompt": "Compute: 63 * (6 + (-8) + 6) + 90", "solution_steps": ["Add: 6 + (-8) = -2", "Add: -2 + 6 = 4", "Multiply: 63 * 4 = 252", "Add: 252 + 90 = 342"], "final_answer": "342", "answer_type": "integer", "kind": "expression", "math_text": "63 * (6 + (-8) + 6) + 90", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 6, \"c\": -8, \"d\": 6, \"e\": 90}", "seed": "4648376579241907430", "semantic_fingerprint": "sha256:3efb94084f7472872a4b51dbe1dbc54eb6a3daa0b34c3664d8d478657feebe82", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004929", "prompt": "Compute: (-525 / (21 + 7) - 65) * (-72 * (-76))", "solution_steps": ["Add: 21 + 7 = 28", "Divide: -525 / 28 = -75/4", "Subtract: -75/4 - 65 = -335/4", "Multiply: -72 * (-76) = 5472", "Multiply: (-335/4) * 5472 = -458280"], "final_answer": "-458280", "answer_type": "integer", "kind": "expression", "math_text": "(-525 / (21 + 7) - 65) * (-72 * (-76))", "variable": null, "family": "expression_5op", "shape": "(* (- (/ n (+ n n)) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -525, \"b\": 21, \"c\": 7, \"d\": 65, \"e\": -72, \"f\": -76}", "seed": "8986365770511325045", "semantic_fingerprint": "sha256:9dc6f21d47ea227157430b98c0c1a6286e51d7ec8b865e770d465a8a3efc6f2a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004930", "prompt": "Compute: (7 - (-95) - (0 - 48)) / (-788)", "solution_steps": ["Subtract: 7 - (-95) = 102", "Subtract: 0 - 48 = -48", "Subtract: 102 - (-48) = 150", "Divide: 150 / (-788) = -75/394"], "final_answer": "-75/394", "answer_type": "rational", "kind": "expression", "math_text": "(7 - (-95) - (0 - 48)) / (-788)", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -95, \"c\": 0, \"d\": 48, \"e\": -788}", "seed": "9389186956727546268", "semantic_fingerprint": "sha256:68f1ea06c04002e3e7d4d8cfad321d66804ed3d05c42a8dbf4dab364a23b2a29", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004931", "prompt": "Compute: (-34 - 73) / (-3 * 9)", "solution_steps": ["Subtract: -34 - 73 = -107", "Multiply: -3 * 9 = -27", "Divide: -107 / (-27) = 107/27"], "final_answer": "107/27", "answer_type": "rational", "kind": "expression", "math_text": "(-34 - 73) / (-3 * 9)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": 73, \"c\": -3, \"d\": 9}", "seed": "4990345159520616206", "semantic_fingerprint": "sha256:5fdfd4668ed769e072ef0c7d1be08a1fec4d83918e912c49496daba0183ea1df", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004932", "prompt": "Compute: (-41 - (-26) / 5) / (-4)", "solution_steps": ["Divide: -26 / 5 = -26/5", "Subtract: -41 - (-26/5) = -179/5", "Divide: (-179/5) / (-4) = 179/20"], "final_answer": "179/20", "answer_type": "rational", "kind": "expression", "math_text": "(-41 - (-26) / 5) / (-4)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": -26, \"c\": 5, \"d\": -4}", "seed": "18402710714750739721", "semantic_fingerprint": "sha256:38d25e86aa0729efc6d3c3fc8563a690de478243ef4d9b6f5a063685e6f57de3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004933", "prompt": "Solve the equation 6(x - 1) + 35 = 2(x - 196) for x.", "solution_steps": ["Expand: 6x - 6 + 35 = 2(x - 196)", "Expand: 6x - 6 + 35 = 2x - 392", "Combine constants: 6x + 29 = 2x - 392", "Subtract 2x from both sides: 4x + 29 = -392", "Subtract 29 from both sides: 4x = -421", "Divide both sides by 4: x = -421/4"], "final_answer": "-421/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 1) + 35 = 2(x - 196)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"c\": 35, \"d\": 2, \"e\": 196}", "seed": "17070734742080828358", "semantic_fingerprint": "sha256:98cf83c30d129ca4f529f9934f87109a828170ff01ec5c57852a6174704c38ab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004934", "prompt": "Calculate: 64 + (-21) / (-9) / 839", "solution_steps": ["Divide: -21 / (-9) = 7/3", "Divide: (7/3) / 839 = 7/2517", "Add: 64 + 7/2517 = 161095/2517"], "final_answer": "161095/2517", "answer_type": "rational", "kind": "expression", "math_text": "64 + (-21) / (-9) / 839", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": -21, \"c\": -9, \"d\": 839}", "seed": "14435990814580043254", "semantic_fingerprint": "sha256:a0007c8c20f97c62fedf4a0750a302d58a99b9ed246a6cf0962f57c165a2e67e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004935", "prompt": "What is (-570 - 64) * (-4 * 12 / (-207 * (-70)))?", "solution_steps": ["Subtract: -570 - 64 = -634", "Multiply: -4 * 12 = -48", "Multiply: -207 * (-70) = 14490", "Divide: -48 / 14490 = -8/2415", "Multiply: -634 * (-8/2415) = 5072/2415"], "final_answer": "5072/2415", "answer_type": "rational", "kind": "expression", "math_text": "(-570 - 64) * (-4 * 12 / (-207 * (-70)))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (/ (* n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -570, \"b\": 64, \"c\": -4, \"d\": 12, \"e\": -207, \"f\": -70}", "seed": "2389892810988934474", "semantic_fingerprint": "sha256:7c78e82b1ae3f346b338892253842e04612f87338f9bffacbda5fa54dcbfcdef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004936", "prompt": "Evaluate: 934 / 2 + (-9 + 9 + (-441 + 21))", "solution_steps": ["Divide: 934 / 2 = 467", "Add: -9 + 9 = 0", "Add: -441 + 21 = -420", "Add: 0 + (-420) = -420", "Add: 467 + (-420) = 47"], "final_answer": "47", "answer_type": "integer", "kind": "expression", "math_text": "934 / 2 + (-9 + 9 + (-441 + 21))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (+ (+ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 934, \"b\": 2, \"c\": -9, \"d\": 9, \"e\": -441, \"f\": 21}", "seed": "1710935017443560235", "semantic_fingerprint": "sha256:8b5a18c4c794e226381a3af65de883cefac340eff7b16f62b58dc6bdf27cd99b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004937", "prompt": "Find x: 12(x - 7) - 94 = 10(x - 7) - 130", "solution_steps": ["Expand: 12x - 84 - 94 = 10(x - 7) - 130", "Expand: 12x - 84 - 94 = 10x - 70 - 130", "Combine constants: 12x - 178 = 10x - 70 - 130", "Combine constants: 12x - 178 = 10x - 200", "Subtract 10x from both sides: 2x - 178 = -200", "Add 178 to both sides: 2x = -22", "Divide both sides by 2: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 7) - 94 = 10(x - 7) - 130", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"c\": 94, \"d\": 10, \"e\": 7, \"g\": -130, \"x\": -11}", "seed": "16050063229630601372", "semantic_fingerprint": "sha256:238aec643548787bb6c0db53cf7adabb4519300fddf370e214af362cdc47a5ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004938", "prompt": "Solve for x: 2(x + 8) + 9 = 8(x + 30) - 293", "solution_steps": ["Expand: 2x + 16 + 9 = 8(x + 30) - 293", "Expand: 2x + 16 + 9 = 8x + 240 - 293", "Combine constants: 2x + 25 = 8x + 240 - 293", "Combine constants: 2x + 25 = 8x - 53", "Subtract 8x from both sides: -6x + 25 = -53", "Subtract 25 from both sides: -6x = -78", "Divide both sides by -6: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 8) + 9 = 8(x + 30) - 293", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 9, \"d\": 8, \"e\": 30, \"g\": -293, \"x\": 13}", "seed": "11202292870323898185", "semantic_fingerprint": "sha256:c694bde03650e32cd9dc29b3edf9a7b3d11513a2943cdf3c6e6a80ffa1a50a1c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004939", "prompt": "Solve the equation 3(x - 60) - 259 = -7(x - 18) - 425 for x.", "solution_steps": ["Expand: 3x - 180 - 259 = -7(x - 18) - 425", "Expand: 3x - 180 - 259 = -7x + 126 - 425", "Combine constants: 3x - 439 = -7x + 126 - 425", "Combine constants: 3x - 439 = -7x - 299", "Add 7x to both sides: 10x - 439 = -299", "Add 439 to both sides: 10x = 140", "Divide both sides by 10: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 60) - 259 = -7(x - 18) - 425", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 60, \"c\": 259, \"d\": -7, \"e\": 18, \"g\": -425, \"x\": 14}", "seed": "10292219116332577433", "semantic_fingerprint": "sha256:3da9bfd792055f35b2352135e66324382e769477991c3013b4bd4cfa51217b9a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004940", "prompt": "Solve for x: -5(x - 4) = -7x - 10", "solution_steps": ["Expand: -5x + 20 = -7x - 10", "Add 7x to both sides: 2x + 20 = -10", "Subtract 20 from both sides: 2x = -30", "Divide both sides by 2: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 4) = -7x - 10", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 4, \"c\": -7, \"e\": -10, \"x\": -15}", "seed": "17522052204136868299", "semantic_fingerprint": "sha256:ae87f03845e911b746fe12b78895ef7c14628ceee82d86e4a51c6d9e45064d1f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004941", "prompt": "What is 21 / (-4) + 26 / 23?", "solution_steps": ["Divide: 21 / (-4) = -21/4", "Divide: 26 / 23 = 26/23", "Add: -21/4 + 26/23 = -379/92"], "final_answer": "-379/92", "answer_type": "rational", "kind": "expression", "math_text": "21 / (-4) + 26 / 23", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": -4, \"c\": 26, \"d\": 23}", "seed": "7755972370305343770", "semantic_fingerprint": "sha256:833772bd3ba0d2258fed5641f5eb05e780d4bd999290518424275274725bc2f4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004942", "prompt": "Compute: 34 / (36 * (-88)) - (-4)", "solution_steps": ["Multiply: 36 * (-88) = -3168", "Divide: 34 / (-3168) = -17/1584", "Subtract: -17/1584 - (-4) = 6319/1584"], "final_answer": "6319/1584", "answer_type": "rational", "kind": "expression", "math_text": "34 / (36 * (-88)) - (-4)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": 36, \"c\": -88, \"d\": -4}", "seed": "5140839982661408861", "semantic_fingerprint": "sha256:f19aec5c2c3571ef4cd5d47e6ee4a8bf0fdca4b32b2f102dc851fd14e829f94c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004943", "prompt": "Compute: (-81 + 56) / (-62 / 8)", "solution_steps": ["Add: -81 + 56 = -25", "Divide: -62 / 8 = -31/4", "Divide: -25 / (-31/4) = 100/31"], "final_answer": "100/31", "answer_type": "rational", "kind": "expression", "math_text": "(-81 + 56) / (-62 / 8)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 56, \"c\": -62, \"d\": 8}", "seed": "14437576696384794846", "semantic_fingerprint": "sha256:6df64ab3524b0e19911029d285d974ea4551ba3b81aad455cf6bde59af7e6dd8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004944", "prompt": "Compute: 0 - (9 + 71) + (-168)", "solution_steps": ["Add: 9 + 71 = 80", "Subtract: 0 - 80 = -80", "Add: -80 + (-168) = -248"], "final_answer": "-248", "answer_type": "integer", "kind": "expression", "math_text": "0 - (9 + 71) + (-168)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 9, \"c\": 71, \"d\": -168}", "seed": "15408272592107961885", "semantic_fingerprint": "sha256:54d73938259481ba240d974f2766aaaf52a52fade80eb5b8a63006af3db13903", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004945", "prompt": "Solve the equation 8x - 3 = -5(x + 61) + 432 for x.", "solution_steps": ["Expand: 8x - 3 = -5x - 305 + 432", "Combine constants: 8x - 3 = -5x + 127", "Add 5x to both sides: 13x - 3 = 127", "Add 3 to both sides: 13x = 130", "Divide both sides by 13: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 3 = -5(x + 61) + 432", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": -5, \"d\": 61, \"f\": 432, \"x\": 10}", "seed": "6255173732878229959", "semantic_fingerprint": "sha256:cdde80f9f925584c990d333c973ab7512e8ccd0619a7adaf9503b639ea6936df", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004946", "prompt": "Solve the equation -8(x - 8) + 951 = 2x + 925 for x.", "solution_steps": ["Expand: -8x + 64 + 951 = 2x + 925", "Combine constants: -8x + 1015 = 2x + 925", "Subtract 2x from both sides: -10x + 1015 = 925", "Subtract 1015 from both sides: -10x = -90", "Divide both sides by -10: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 8) + 951 = 2x + 925", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 8, \"c\": 951, \"d\": 2, \"f\": 925, \"x\": 9}", "seed": "13867526476985443668", "semantic_fingerprint": "sha256:9113eafd934c0e634bed14e887432a94bc1297f21057e14312b2ba67a94418b3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004947", "prompt": "What is (-248 / (-8) + 246) * (-36)?", "solution_steps": ["Divide: -248 / (-8) = 31", "Add: 31 + 246 = 277", "Multiply: 277 * (-36) = -9972"], "final_answer": "-9972", "answer_type": "integer", "kind": "expression", "math_text": "(-248 / (-8) + 246) * (-36)", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -248, \"b\": -8, \"c\": 246, \"d\": -36}", "seed": "5102541739483938373", "semantic_fingerprint": "sha256:07c2fb8aeebd3ed3b1ca2bb986dec08a531be51d22f9608f67724415a2a9c6a7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004948", "prompt": "What is 3 - 6 + (-29) + (-343 + (-9))?", "solution_steps": ["Subtract: 3 - 6 = -3", "Add: -3 + (-29) = -32", "Add: -343 + (-9) = -352", "Add: -32 + (-352) = -384"], "final_answer": "-384", "answer_type": "integer", "kind": "expression", "math_text": "3 - 6 + (-29) + (-343 + (-9))", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": -29, \"d\": -343, \"e\": -9}", "seed": "14711657126147587288", "semantic_fingerprint": "sha256:2a30ac9469a1837a44e0dfe86938578480067daea957aa5e5bcbb254022d26ce", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004949", "prompt": "What value of x satisfies 10(x + 14) + 93 = 7(x + 1) - 67?", "solution_steps": ["Expand: 10x + 140 + 93 = 7(x + 1) - 67", "Expand: 10x + 140 + 93 = 7x + 7 - 67", "Combine constants: 10x + 233 = 7x + 7 - 67", "Combine constants: 10x + 233 = 7x - 60", "Subtract 7x from both sides: 3x + 233 = -60", "Subtract 233 from both sides: 3x = -293", "Divide both sides by 3: x = -293/3"], "final_answer": "-293/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 14) + 93 = 7(x + 1) - 67", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 14, \"c\": 93, \"d\": 7, \"e\": 1, \"f\": 67}", "seed": "181747224031687875", "semantic_fingerprint": "sha256:26715fd95d79d6319a760a967bb6d75324105edc95bef7af595db17ada9a5c26", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004950", "prompt": "Evaluate: (-7 - 73) * (-389 * 22)", "solution_steps": ["Subtract: -7 - 73 = -80", "Multiply: -389 * 22 = -8558", "Multiply: -80 * (-8558) = 684640"], "final_answer": "684640", "answer_type": "integer", "kind": "expression", "math_text": "(-7 - 73) * (-389 * 22)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 73, \"c\": -389, \"d\": 22}", "seed": "11580668734385879540", "semantic_fingerprint": "sha256:6273671ed9aabba107f47b15bf2d1d79942f4f4ba9461fba3d2562bc424d26ef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004951", "prompt": "Solve for x: 6(x - 6) - 745 = 2(x - 99) - 615", "solution_steps": ["Expand: 6x - 36 - 745 = 2(x - 99) - 615", "Expand: 6x - 36 - 745 = 2x - 198 - 615", "Combine constants: 6x - 781 = 2x - 198 - 615", "Combine constants: 6x - 781 = 2x - 813", "Subtract 2x from both sides: 4x - 781 = -813", "Add 781 to both sides: 4x = -32", "Divide both sides by 4: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 6) - 745 = 2(x - 99) - 615", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 745, \"d\": 2, \"e\": 99, \"g\": -615, \"x\": -8}", "seed": "7528683763973665631", "semantic_fingerprint": "sha256:0cbfeb994f83cbca5d7f8390e865735baf96269e1dbc26b98db812d87d214a23", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004952", "prompt": "Calculate: -39 - (-902) * (-57) - 0", "solution_steps": ["Multiply: -902 * (-57) = 51414", "Subtract: -39 - 51414 = -51453", "Subtract: -51453 - 0 = -51453"], "final_answer": "-51453", "answer_type": "integer", "kind": "expression", "math_text": "-39 - (-902) * (-57) - 0", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": -902, \"c\": -57, \"d\": 0}", "seed": "8391672704378364501", "semantic_fingerprint": "sha256:0040d010bc8af9bf3ebca4d5839c853fd8d51740d1754b37f0fa864450abc1c9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004953", "prompt": "Evaluate: -110 - (0 - 33 / 2) / (53 * 13)", "solution_steps": ["Divide: 33 / 2 = 33/2", "Subtract: 0 - 33/2 = -33/2", "Multiply: 53 * 13 = 689", "Divide: (-33/2) / 689 = -33/1378", "Subtract: -110 - (-33/1378) = -151547/1378"], "final_answer": "-151547/1378", "answer_type": "rational", "kind": "expression", "math_text": "-110 - (0 - 33 / 2) / (53 * 13)", "variable": null, "family": "expression_5op", "shape": "(- n (/ (- n (/ n n)) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -110, \"b\": 0, \"c\": 33, \"d\": 2, \"e\": 53, \"f\": 13}", "seed": "17683180484691024439", "semantic_fingerprint": "sha256:8da1483cea5e3486ee92032c2b821fe068a12b9bf36f2750762d7b05d21ba732", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004954", "prompt": "Evaluate: -4 + (5 + (-1)) / (-9 * (-5))", "solution_steps": ["Add: 5 + (-1) = 4", "Multiply: -9 * (-5) = 45", "Divide: 4 / 45 = 4/45", "Add: -4 + 4/45 = -176/45"], "final_answer": "-176/45", "answer_type": "rational", "kind": "expression", "math_text": "-4 + (5 + (-1)) / (-9 * (-5))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (+ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 5, \"c\": -1, \"d\": -9, \"e\": -5}", "seed": "13202978279206578142", "semantic_fingerprint": "sha256:25fe3bf358f20964e853a9462e56815276d85770bd0a2e17a6432c4ca2e0ab1b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004955", "prompt": "Calculate: (-4 + 2) / (-986 + 3) - 88", "solution_steps": ["Add: -4 + 2 = -2", "Add: -986 + 3 = -983", "Divide: -2 / (-983) = 2/983", "Subtract: 2/983 - 88 = -86502/983"], "final_answer": "-86502/983", "answer_type": "rational", "kind": "expression", "math_text": "(-4 + 2) / (-986 + 3) - 88", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 2, \"c\": -986, \"d\": 3, \"e\": 88}", "seed": "12373900775642876311", "semantic_fingerprint": "sha256:21a64bdc20d08a566d30bb84266b785bb4b2bd06e2766797eea9405bdd305f4f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004956", "prompt": "Calculate: 770 / (733 - 90 + (-312))", "solution_steps": ["Subtract: 733 - 90 = 643", "Add: 643 + (-312) = 331", "Divide: 770 / 331 = 770/331"], "final_answer": "770/331", "answer_type": "rational", "kind": "expression", "math_text": "770 / (733 - 90 + (-312))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 770, \"b\": 733, \"c\": 90, \"d\": -312}", "seed": "2884664072495781613", "semantic_fingerprint": "sha256:ba8c0119d7fd200777dc70c8ba45ab44dcdb3ee7bbcef810d49c23133bf2cb4f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004957", "prompt": "Solve for x: 6(x - 82) + 464 = 5(x + 6) - 642", "solution_steps": ["Expand: 6x - 492 + 464 = 5(x + 6) - 642", "Expand: 6x - 492 + 464 = 5x + 30 - 642", "Combine constants: 6x - 28 = 5x + 30 - 642", "Combine constants: 6x - 28 = 5x - 612", "Subtract 5x from both sides: x - 28 = -612", "Add 28 to both sides: x = -584"], "final_answer": "-584", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 82) + 464 = 5(x + 6) - 642", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 82, \"c\": 464, \"d\": 5, \"e\": 6, \"f\": 642}", "seed": "15993173256439896939", "semantic_fingerprint": "sha256:03cb21834080b1759811eb3a58c926f592a0321b7b3e711add90aa21b32c27e8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004958", "prompt": "Calculate: (-8 - 78) / (86 / (51 + 7))", "solution_steps": ["Subtract: -8 - 78 = -86", "Add: 51 + 7 = 58", "Divide: 86 / 58 = 43/29", "Divide: -86 / (43/29) = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "expression", "math_text": "(-8 - 78) / (86 / (51 + 7))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 78, \"c\": 86, \"d\": 51, \"e\": 7}", "seed": "9328564331894141319", "semantic_fingerprint": "sha256:9259aeb3127cc675840cc23ad031eecfc2fa829ee3c4225ed6794d7d367c4c41", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004959", "prompt": "Evaluate: -5 + 742 + (8 - (-1)) * (-350)", "solution_steps": ["Add: -5 + 742 = 737", "Subtract: 8 - (-1) = 9", "Multiply: 9 * (-350) = -3150", "Add: 737 + (-3150) = -2413"], "final_answer": "-2413", "answer_type": "integer", "kind": "expression", "math_text": "-5 + 742 + (8 - (-1)) * (-350)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 742, \"c\": 8, \"d\": -1, \"e\": -350}", "seed": "16282450793838358752", "semantic_fingerprint": "sha256:776f4d8d046eecae7e0caf3fadbfcdbe5f4a5b4bd6b296917c5e1554a5069521", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004960", "prompt": "Solve for x: 4(x + 7) - 2 = x - 443", "solution_steps": ["Expand: 4x + 28 - 2 = x - 443", "Combine constants: 4x + 26 = x - 443", "Subtract x from both sides: 3x + 26 = -443", "Subtract 26 from both sides: 3x = -469", "Divide both sides by 3: x = -469/3"], "final_answer": "-469/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 7) - 2 = x - 443", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 2, \"d\": 443}", "seed": "15536123275556533528", "semantic_fingerprint": "sha256:fa2721b69349977350326cb4c69d6a83fc4f282d7397d7c3606cc39af0ba34c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004961", "prompt": "What value of x satisfies 9(x - 7) = 10x - 58?", "solution_steps": ["Expand: 9x - 63 = 10x - 58", "Subtract 10x from both sides: -x - 63 = -58", "Add 63 to both sides: -x = 5", "Divide both sides by -1: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 7) = 10x - 58", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 10, \"e\": -58, \"x\": -5}", "seed": "16968389979050051022", "semantic_fingerprint": "sha256:281d172a8f85145ca9104390f1f632c5a37a94699bcc247eb04f686083d4e1dd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004962", "prompt": "Find x: 11(x + 3) + 9 = 10(x + 10) - 65", "solution_steps": ["Expand: 11x + 33 + 9 = 10(x + 10) - 65", "Expand: 11x + 33 + 9 = 10x + 100 - 65", "Combine constants: 11x + 42 = 10x + 100 - 65", "Combine constants: 11x + 42 = 10x + 35", "Subtract 10x from both sides: x + 42 = 35", "Subtract 42 from both sides: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 3) + 9 = 10(x + 10) - 65", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3, \"c\": 9, \"d\": 10, \"e\": 10, \"g\": -65, \"x\": -7}", "seed": "15873118639398771443", "semantic_fingerprint": "sha256:24bbabefb075ece62ab2cfe2be985ff4c1d0ad8d6fe9a1cddf14f95311a48534", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004963", "prompt": "Evaluate: 98 * 56 / (-781 + 666)", "solution_steps": ["Multiply: 98 * 56 = 5488", "Add: -781 + 666 = -115", "Divide: 5488 / (-115) = -5488/115"], "final_answer": "-5488/115", "answer_type": "rational", "kind": "expression", "math_text": "98 * 56 / (-781 + 666)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 56, \"c\": -781, \"d\": 666}", "seed": "2049741717255544636", "semantic_fingerprint": "sha256:de455df339cb55fdbc60aa03b661f7a3583734c36cd6cacd9e8ede3a8998a321", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004964", "prompt": "What value of x satisfies x - 42 = 9(x - 7) + 21?", "solution_steps": ["Expand: x - 42 = 9x - 63 + 21", "Combine constants: x - 42 = 9x - 42", "Subtract 9x from both sides: -8x - 42 = -42", "Add 42 to both sides: -8x = 0", "Divide both sides by -8: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 42 = 9(x - 7) + 21", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 9, \"c\": 7, \"e\": 21, \"x\": 0}", "seed": "11357769304062183647", "semantic_fingerprint": "sha256:cb7fdb08ce997171c0ba78112be43596564476ad8c70a9c548803cf511340eb9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004965", "prompt": "Solve for x: 5x - 2 = 8(x + 2) + 15", "solution_steps": ["Expand: 5x - 2 = 8x + 16 + 15", "Combine constants: 5x - 2 = 8x + 31", "Subtract 8x from both sides: -3x - 2 = 31", "Add 2 to both sides: -3x = 33", "Divide both sides by -3: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 2 = 8(x + 2) + 15", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 8, \"d\": 2, \"f\": 15, \"x\": -11}", "seed": "14654339478948055173", "semantic_fingerprint": "sha256:ee3a75fcbc72affb503814859aeceedd6f401f0f09fb4ae85fef2cb815710818", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004966", "prompt": "What is -5 + ((-12 + 222) * (-3) + 454)?", "solution_steps": ["Add: -12 + 222 = 210", "Multiply: 210 * (-3) = -630", "Add: -630 + 454 = -176", "Add: -5 + (-176) = -181"], "final_answer": "-181", "answer_type": "integer", "kind": "expression", "math_text": "-5 + ((-12 + 222) * (-3) + 454)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -12, \"c\": 222, \"d\": -3, \"e\": 454}", "seed": "15190476106299850350", "semantic_fingerprint": "sha256:2e6a145e71b8ace7dfd029f4c754b503c7573c7dfb9c7f3303b4972fc8c99611", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004967", "prompt": "Solve for x: -2(x - 2) - 14 = 2(x - 1)", "solution_steps": ["Expand: -2x + 4 - 14 = 2(x - 1)", "Expand: -2x + 4 - 14 = 2x - 2", "Combine constants: -2x - 10 = 2x - 2", "Subtract 2x from both sides: -4x - 10 = -2", "Add 10 to both sides: -4x = 8", "Divide both sides by -4: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 2) - 14 = 2(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 2, \"c\": 2, \"d\": 1, \"f\": -14, \"x\": -2}", "seed": "17065755361064990004", "semantic_fingerprint": "sha256:88e5d2692722ea0e3425d034bbc08375ba97220f29173a2d588ec41141c6942f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004968", "prompt": "Solve the equation x - 7 = -6(x - 7) + 42 for x.", "solution_steps": ["Expand: x - 7 = -6x + 42 + 42", "Combine constants: x - 7 = -6x + 84", "Add 6x to both sides: 7x - 7 = 84", "Add 7 to both sides: 7x = 91", "Divide both sides by 7: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7 = -6(x - 7) + 42", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -6, \"c\": 7, \"e\": 42, \"x\": 13}", "seed": "6421474241035510301", "semantic_fingerprint": "sha256:05b7ff81b869ac15059d6d98c9671bc818122307019cd0c08bf5981231dca848", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004969", "prompt": "Solve the equation -9(x + 12) + 68 = -11(x + 435) - 64 for x.", "solution_steps": ["Expand: -9x - 108 + 68 = -11(x + 435) - 64", "Expand: -9x - 108 + 68 = -11x - 4785 - 64", "Combine constants: -9x - 40 = -11x - 4785 - 64", "Combine constants: -9x - 40 = -11x - 4849", "Add 11x to both sides: 2x - 40 = -4849", "Add 40 to both sides: 2x = -4809", "Divide both sides by 2: x = -4809/2"], "final_answer": "-4809/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 12) + 68 = -11(x + 435) - 64", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 12, \"c\": 68, \"d\": -11, \"e\": 435, \"f\": 64}", "seed": "368707463906488389", "semantic_fingerprint": "sha256:6c8ab0cda86d006445ea4dcffe7626cda1215953abef3fbb63824b678c3387c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004970", "prompt": "Solve for x: 5(x - 9) - 42 = -5(x - 31) - 352", "solution_steps": ["Expand: 5x - 45 - 42 = -5(x - 31) - 352", "Expand: 5x - 45 - 42 = -5x + 155 - 352", "Combine constants: 5x - 87 = -5x + 155 - 352", "Combine constants: 5x - 87 = -5x - 197", "Add 5x to both sides: 10x - 87 = -197", "Add 87 to both sides: 10x = -110", "Divide both sides by 10: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 9) - 42 = -5(x - 31) - 352", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 42, \"d\": -5, \"e\": 31, \"g\": -352, \"x\": -11}", "seed": "6024680589848578477", "semantic_fingerprint": "sha256:25338010e3b34f727d1a1d21fb6cc283f5ea0c9b8e716fe565a75f6319658df7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004971", "prompt": "Calculate: 5 * 69 + (-70 + 54 / 2)", "solution_steps": ["Multiply: 5 * 69 = 345", "Divide: 54 / 2 = 27", "Add: -70 + 27 = -43", "Add: 345 + (-43) = 302"], "final_answer": "302", "answer_type": "integer", "kind": "expression", "math_text": "5 * 69 + (-70 + 54 / 2)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 69, \"c\": -70, \"d\": 54, \"e\": 2}", "seed": "12487756483039964863", "semantic_fingerprint": "sha256:a26eac67fd6b2cce59646921249724f21cc7fda1587ce05f02949c498d170fa3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004972", "prompt": "Solve the equation -5x - 43 = -8(x + 62) + 474 for x.", "solution_steps": ["Expand: -5x - 43 = -8x - 496 + 474", "Combine constants: -5x - 43 = -8x - 22", "Add 8x to both sides: 3x - 43 = -22", "Add 43 to both sides: 3x = 21", "Divide both sides by 3: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 43 = -8(x + 62) + 474", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 43, \"c\": -8, \"d\": 62, \"f\": 474, \"x\": 7}", "seed": "6012675156377074959", "semantic_fingerprint": "sha256:9faa52d551ef1f69b0a0798092f7ee45ec52c83fbf675f18e36cf700dc6e5afc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004973", "prompt": "Solve the equation 9(x - 4) = 10x - 159 for x.", "solution_steps": ["Expand: 9x - 36 = 10x - 159", "Subtract 10x from both sides: -x - 36 = -159", "Add 36 to both sides: -x = -123", "Divide both sides by -1: x = 123"], "final_answer": "123", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 4) = 10x - 159", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": 10, \"d\": 159}", "seed": "7932637861010300427", "semantic_fingerprint": "sha256:007ade7e0b865476553a103b7d4da3aa581597102a1d660ebf97666b495eee9f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004974", "prompt": "What value of x satisfies 5(x - 3) + 8 = -11x + 201?", "solution_steps": ["Expand: 5x - 15 + 8 = -11x + 201", "Combine constants: 5x - 7 = -11x + 201", "Add 11x to both sides: 16x - 7 = 201", "Add 7 to both sides: 16x = 208", "Divide both sides by 16: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 3) + 8 = -11x + 201", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 8, \"d\": -11, \"f\": 201, \"x\": 13}", "seed": "7893875097743596308", "semantic_fingerprint": "sha256:65ea440dcbb585df11903d9ddae08477d02dac86c6d6c49a52e55bf64ddec02d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004975", "prompt": "Calculate: -11 * 0 / (-5 + (-7))", "solution_steps": ["Multiply: -11 * 0 = 0", "Add: -5 + (-7) = -12", "Divide: 0 / (-12) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-11 * 0 / (-5 + (-7))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 0, \"c\": -5, \"d\": -7}", "seed": "16674942675175608371", "semantic_fingerprint": "sha256:6f84f48f288202dbeb51eb4e44349b223cf065b2e2011747f4de35d5f4ba8cd8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004976", "prompt": "Calculate: -8 * 3 - 1 / 9 / (-75)", "solution_steps": ["Multiply: -8 * 3 = -24", "Divide: 1 / 9 = 1/9", "Divide: (1/9) / (-75) = -1/675", "Subtract: -24 - (-1/675) = -16199/675"], "final_answer": "-16199/675", "answer_type": "rational", "kind": "expression", "math_text": "-8 * 3 - 1 / 9 / (-75)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"c\": 1, \"d\": 9, \"e\": -75}", "seed": "8181571129582476982", "semantic_fingerprint": "sha256:0d5cc53f145075de8b5830cc119a1aacc49baf64e76cb50ef30ec77e87f00e4f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004977", "prompt": "Evaluate: -4 * (27 * (256 - 3))", "solution_steps": ["Subtract: 256 - 3 = 253", "Multiply: 27 * 253 = 6831", "Multiply: -4 * 6831 = -27324"], "final_answer": "-27324", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (27 * (256 - 3))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 27, \"c\": 256, \"d\": 3}", "seed": "14046126552566949031", "semantic_fingerprint": "sha256:ff726c54228c1295b4827ec2b9e251f5f2853f855290acaf4961c2719b32c5a8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004978", "prompt": "What is 13 + (-41) - (-10) + 3?", "solution_steps": ["Add: 13 + (-41) = -28", "Subtract: -28 - (-10) = -18", "Add: -18 + 3 = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "expression", "math_text": "13 + (-41) - (-10) + 3", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -41, \"c\": -10, \"d\": 3}", "seed": "11875221843718651059", "semantic_fingerprint": "sha256:c175d5d7b6777bacd7ec0a103117413dcb88951009aa08c0a07b1fd052ba64b9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004979", "prompt": "What is (7 + 7 + 0) * ((-95 - 78) * 32)?", "solution_steps": ["Add: 7 + 7 = 14", "Add: 14 + 0 = 14", "Subtract: -95 - 78 = -173", "Multiply: -173 * 32 = -5536", "Multiply: 14 * (-5536) = -77504"], "final_answer": "-77504", "answer_type": "integer", "kind": "expression", "math_text": "(7 + 7 + 0) * ((-95 - 78) * 32)", "variable": null, "family": "expression_5op", "shape": "(* (+ (+ n n) n) (* (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 0, \"d\": -95, \"e\": 78, \"f\": 32}", "seed": "5628418395568108346", "semantic_fingerprint": "sha256:cfd47b958a4c386c953edf39efc06fc2ec9a4229c9e1b1effd2df0bee95ac849", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004980", "prompt": "Calculate: 6 * (843 + (-15) + 0 / 277) + (-6)", "solution_steps": ["Add: 843 + (-15) = 828", "Divide: 0 / 277 = 0", "Add: 828 + 0 = 828", "Multiply: 6 * 828 = 4968", "Add: 4968 + (-6) = 4962"], "final_answer": "4962", "answer_type": "integer", "kind": "expression", "math_text": "6 * (843 + (-15) + 0 / 277) + (-6)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ (+ n n) (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 843, \"c\": -15, \"d\": 0, \"e\": 277, \"f\": -6}", "seed": "7807980875029348532", "semantic_fingerprint": "sha256:2effb02278ff9b22521f9caf484766dfe610c84ad6af6bea214b262f31e8feec", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004981", "prompt": "Calculate: -414 - (4 - (16 - (-87)))", "solution_steps": ["Subtract: 16 - (-87) = 103", "Subtract: 4 - 103 = -99", "Subtract: -414 - (-99) = -315"], "final_answer": "-315", "answer_type": "integer", "kind": "expression", "math_text": "-414 - (4 - (16 - (-87)))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -414, \"b\": 4, \"c\": 16, \"d\": -87}", "seed": "6973891555413591174", "semantic_fingerprint": "sha256:57bb62f93a10babbadf3d44d7d326fc1abbc4c17170600014de8de4c59832d8f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004982", "prompt": "Compute: (9 + (-80) / (-163)) * (-92 * 7)", "solution_steps": ["Divide: -80 / (-163) = 80/163", "Add: 9 + 80/163 = 1547/163", "Multiply: -92 * 7 = -644", "Multiply: (1547/163) * (-644) = -996268/163"], "final_answer": "-996268/163", "answer_type": "rational", "kind": "expression", "math_text": "(9 + (-80) / (-163)) * (-92 * 7)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -80, \"c\": -163, \"d\": -92, \"e\": 7}", "seed": "3461780292170063782", "semantic_fingerprint": "sha256:2e864f1046c45ff93e0862df9bd61ab3a545b00758f3cf339c3eccad071bd922", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004983", "prompt": "Compute: 5 + (-56) * 848 - (-542) + 30", "solution_steps": ["Multiply: -56 * 848 = -47488", "Add: 5 + (-47488) = -47483", "Subtract: -47483 - (-542) = -46941", "Add: -46941 + 30 = -46911"], "final_answer": "-46911", "answer_type": "integer", "kind": "expression", "math_text": "5 + (-56) * 848 - (-542) + 30", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -56, \"c\": 848, \"d\": -542, \"e\": 30}", "seed": "15380763074910825334", "semantic_fingerprint": "sha256:09217f95d5f705f78c2aabb7de5aff93b36a3adde8b3bd6624c05a68fa6c370c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004984", "prompt": "What value of x satisfies 6(x - 59) + 1 = 8(x + 29) - 38?", "solution_steps": ["Expand: 6x - 354 + 1 = 8(x + 29) - 38", "Expand: 6x - 354 + 1 = 8x + 232 - 38", "Combine constants: 6x - 353 = 8x + 232 - 38", "Combine constants: 6x - 353 = 8x + 194", "Subtract 8x from both sides: -2x - 353 = 194", "Add 353 to both sides: -2x = 547", "Divide both sides by -2: x = -547/2"], "final_answer": "-547/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 59) + 1 = 8(x + 29) - 38", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 59, \"c\": 1, \"d\": 8, \"e\": 29, \"f\": 38}", "seed": "7149792690167013216", "semantic_fingerprint": "sha256:e6ea41bd8fce3b883ad05074692119f4e142148c731b37280a90acb4b067c4e4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004985", "prompt": "Calculate: 5 * (-4 * 820) - (-9)", "solution_steps": ["Multiply: -4 * 820 = -3280", "Multiply: 5 * (-3280) = -16400", "Subtract: -16400 - (-9) = -16391"], "final_answer": "-16391", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-4 * 820) - (-9)", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -4, \"c\": 820, \"d\": -9}", "seed": "1223998481730504855", "semantic_fingerprint": "sha256:e885ac4d09242222a667cf6b5877bc297767359f1e65e99967eb8557e3a9b0c5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004986", "prompt": "Evaluate: (0 + (-265) + (-6) / 5) / (-75)", "solution_steps": ["Add: 0 + (-265) = -265", "Divide: -6 / 5 = -6/5", "Add: -265 + (-6/5) = -1331/5", "Divide: (-1331/5) / (-75) = 1331/375"], "final_answer": "1331/375", "answer_type": "rational", "kind": "expression", "math_text": "(0 + (-265) + (-6) / 5) / (-75)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -265, \"c\": -6, \"d\": 5, \"e\": -75}", "seed": "8865320734139962375", "semantic_fingerprint": "sha256:0548292213644d1e68b920c29f96c29ecfb433683557f65f51b270071e46044b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004987", "prompt": "Solve for x: 12(x - 742) + 9 = -12(x + 762) - 62", "solution_steps": ["Expand: 12x - 8904 + 9 = -12(x + 762) - 62", "Expand: 12x - 8904 + 9 = -12x - 9144 - 62", "Combine constants: 12x - 8895 = -12x - 9144 - 62", "Combine constants: 12x - 8895 = -12x - 9206", "Add 12x to both sides: 24x - 8895 = -9206", "Add 8895 to both sides: 24x = -311", "Divide both sides by 24: x = -311/24"], "final_answer": "-311/24", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 742) + 9 = -12(x + 762) - 62", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 742, \"c\": 9, \"d\": -12, \"e\": 762, \"f\": 62}", "seed": "6750664111766983272", "semantic_fingerprint": "sha256:98823ed8032bce5e58639c31c60de8a4c1edb28d14e616ab61fd97eb1b65a38b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004988", "prompt": "Solve for x: 3(x - 3) + 84 = 10(x - 3)", "solution_steps": ["Expand: 3x - 9 + 84 = 10(x - 3)", "Expand: 3x - 9 + 84 = 10x - 30", "Combine constants: 3x + 75 = 10x - 30", "Subtract 10x from both sides: -7x + 75 = -30", "Subtract 75 from both sides: -7x = -105", "Divide both sides by -7: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 3) + 84 = 10(x - 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 10, \"d\": 3, \"f\": 84, \"x\": 15}", "seed": "1877440384123428002", "semantic_fingerprint": "sha256:645754227af206cdc1a37bf6367595c00fd8e926a0265c72952832436e3853de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004989", "prompt": "Compute: 1 + (-3 * 81 + (-8) * 0)", "solution_steps": ["Multiply: -3 * 81 = -243", "Multiply: -8 * 0 = 0", "Add: -243 + 0 = -243", "Add: 1 + (-243) = -242"], "final_answer": "-242", "answer_type": "integer", "kind": "expression", "math_text": "1 + (-3 * 81 + (-8) * 0)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -3, \"c\": 81, \"d\": -8, \"e\": 0}", "seed": "3317404870191487494", "semantic_fingerprint": "sha256:727f916c36aef9cd928293dc6c96ec150bd8f728b0d6b69a22351bc5b7be50f9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004990", "prompt": "What value of x satisfies -7(x - 3) + 203 = -9(x - 26)?", "solution_steps": ["Expand: -7x + 21 + 203 = -9(x - 26)", "Expand: -7x + 21 + 203 = -9x + 234", "Combine constants: -7x + 224 = -9x + 234", "Add 9x to both sides: 2x + 224 = 234", "Subtract 224 from both sides: 2x = 10", "Divide both sides by 2: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 3) + 203 = -9(x - 26)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 3, \"c\": -9, \"d\": 26, \"f\": 203, \"x\": 5}", "seed": "3918017442519428861", "semantic_fingerprint": "sha256:dab28353107251ff73d08f91bb5c6b5e4b08f27ee9024b564f8c0603fd45dab7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004991", "prompt": "Compute: -2 + (-1) + (-2) - 957 / (-932)", "solution_steps": ["Add: -2 + (-1) = -3", "Add: -3 + (-2) = -5", "Divide: 957 / (-932) = -957/932", "Subtract: -5 - (-957/932) = -3703/932"], "final_answer": "-3703/932", "answer_type": "rational", "kind": "expression", "math_text": "-2 + (-1) + (-2) - 957 / (-932)", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -1, \"c\": -2, \"d\": 957, \"e\": -932}", "seed": "16177548891776388929", "semantic_fingerprint": "sha256:85e82081304b0b4eb64390518cabce05e9baf1d4eb7338ec382de360114b2c52", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004992", "prompt": "What is 8 / (543 - 83 - 72)?", "solution_steps": ["Subtract: 543 - 83 = 460", "Subtract: 460 - 72 = 388", "Divide: 8 / 388 = 2/97"], "final_answer": "2/97", "answer_type": "rational", "kind": "expression", "math_text": "8 / (543 - 83 - 72)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 543, \"c\": 83, \"d\": 72}", "seed": "16077085824536275336", "semantic_fingerprint": "sha256:e33073ea1e9ca7e9c73f1ce9b03271a8ce059ae4ec865f064c259bb0876d7a76", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004993", "prompt": "Solve the equation 10(x - 296) + 12 = 11(x - 3) for x.", "solution_steps": ["Expand: 10x - 2960 + 12 = 11(x - 3)", "Expand: 10x - 2960 + 12 = 11x - 33", "Combine constants: 10x - 2948 = 11x - 33", "Subtract 11x from both sides: -x - 2948 = -33", "Add 2948 to both sides: -x = 2915", "Divide both sides by -1: x = -2915"], "final_answer": "-2915", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 296) + 12 = 11(x - 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 296, \"c\": 12, \"d\": 11, \"e\": 3}", "seed": "17337290117814517754", "semantic_fingerprint": "sha256:143ec60b6a48bb99d0fa8bf966b817cf1172257610884c20ee27d0a7c04cd84a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004994", "prompt": "Calculate: -25 * (-9) + (82 / (-2) - (-48))", "solution_steps": ["Multiply: -25 * (-9) = 225", "Divide: 82 / (-2) = -41", "Subtract: -41 - (-48) = 7", "Add: 225 + 7 = 232"], "final_answer": "232", "answer_type": "integer", "kind": "expression", "math_text": "-25 * (-9) + (82 / (-2) - (-48))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -9, \"c\": 82, \"d\": -2, \"e\": -48}", "seed": "14489207067895647667", "semantic_fingerprint": "sha256:541d5a29d2315bf674b7ac0504d9a46e7feb1d5f342d17ed39cfddec837ea2ff", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004995", "prompt": "What value of x satisfies -3(x - 8) = -5x - 4?", "solution_steps": ["Expand: -3x + 24 = -5x - 4", "Add 5x to both sides: 2x + 24 = -4", "Subtract 24 from both sides: 2x = -28", "Divide both sides by 2: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 8) = -5x - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 8, \"c\": -5, \"d\": 4}", "seed": "16828584704767691080", "semantic_fingerprint": "sha256:915b32e2b15f35bb72a31776c02b05f3770038f8dce59144c82e1c7f31590730", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004996", "prompt": "Compute: -751 - (0 * 61 + (-94))", "solution_steps": ["Multiply: 0 * 61 = 0", "Add: 0 + (-94) = -94", "Subtract: -751 - (-94) = -657"], "final_answer": "-657", "answer_type": "integer", "kind": "expression", "math_text": "-751 - (0 * 61 + (-94))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -751, \"b\": 0, \"c\": 61, \"d\": -94}", "seed": "3339811715607673381", "semantic_fingerprint": "sha256:8ea97797bc0ae8fa4d8de8badb0518986aeeaa2f981955e0d0547ba744205c95", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004997", "prompt": "Calculate: 8 - (79 * (-76) + 10)", "solution_steps": ["Multiply: 79 * (-76) = -6004", "Add: -6004 + 10 = -5994", "Subtract: 8 - (-5994) = 6002"], "final_answer": "6002", "answer_type": "integer", "kind": "expression", "math_text": "8 - (79 * (-76) + 10)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 79, \"c\": -76, \"d\": 10}", "seed": "215858867968798614", "semantic_fingerprint": "sha256:8d98bcdeced65a09970bcf46d0aa553a4241db4c9d0f0ae549a7971b9463392e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004998", "prompt": "Evaluate: 7 + (40 / (-65) + (60 + (-2) / (-679)))", "solution_steps": ["Divide: 40 / (-65) = -8/13", "Divide: -2 / (-679) = 2/679", "Add: 60 + 2/679 = 40742/679", "Add: -8/13 + 40742/679 = 524214/8827", "Add: 7 + 524214/8827 = 586003/8827"], "final_answer": "586003/8827", "answer_type": "rational", "kind": "expression", "math_text": "7 + (40 / (-65) + (60 + (-2) / (-679)))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (/ n n) (+ n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 40, \"c\": -65, \"d\": 60, \"e\": -2, \"f\": -679}", "seed": "13231142020627474107", "semantic_fingerprint": "sha256:ebd6b5f7c005b8a8143cfd39e77a1473f2475aeadc8c154bbc011a68944fe6bc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00004999", "prompt": "Calculate: (6 - 0) * (91 / (-96))", "solution_steps": ["Subtract: 6 - 0 = 6", "Divide: 91 / (-96) = -91/96", "Multiply: 6 * (-91/96) = -91/16"], "final_answer": "-91/16", "answer_type": "rational", "kind": "expression", "math_text": "(6 - 0) * (91 / (-96))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 0, \"c\": 91, \"d\": -96}", "seed": "3402531320384765127", "semantic_fingerprint": "sha256:8b0a5218a061b54d490bf7cf12c0c835e4b784471a38a4acd6d380daec93ca6f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005000", "prompt": "Evaluate: (84 - 7) * (1 / (-999))", "solution_steps": ["Subtract: 84 - 7 = 77", "Divide: 1 / (-999) = -1/999", "Multiply: 77 * (-1/999) = -77/999"], "final_answer": "-77/999", "answer_type": "rational", "kind": "expression", "math_text": "(84 - 7) * (1 / (-999))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": 7, \"c\": 1, \"d\": -999}", "seed": "14019630737003309917", "semantic_fingerprint": "sha256:0b688ad5b71662e34859dffc5d23974d15f8af8f6299b85c8ee5d955cd10d555", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005001", "prompt": "What is 32 * (-35 * (7 - (-123)))?", "solution_steps": ["Subtract: 7 - (-123) = 130", "Multiply: -35 * 130 = -4550", "Multiply: 32 * (-4550) = -145600"], "final_answer": "-145600", "answer_type": "integer", "kind": "expression", "math_text": "32 * (-35 * (7 - (-123)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -35, \"c\": 7, \"d\": -123}", "seed": "11289258945530646603", "semantic_fingerprint": "sha256:94f5850442a1bcff289f2b6240c90dd3f8b34d223960d4119244c0f2e0b7e5de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005002", "prompt": "Compute: 677 / (-69 * 3 - (-57) / 26)", "solution_steps": ["Multiply: -69 * 3 = -207", "Divide: -57 / 26 = -57/26", "Subtract: -207 - (-57/26) = -5325/26", "Divide: 677 / (-5325/26) = -17602/5325"], "final_answer": "-17602/5325", "answer_type": "rational", "kind": "expression", "math_text": "677 / (-69 * 3 - (-57) / 26)", "variable": null, "family": "expression_4op", "shape": "(/ n (- (* n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 677, \"b\": -69, \"c\": 3, \"d\": -57, \"e\": 26}", "seed": "7460232405191953199", "semantic_fingerprint": "sha256:432ea7aa4e8b393c05f80e9068d3e34b0907b61ae1a419fd97e5d70f3f12c149", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005003", "prompt": "Evaluate: 804 - (-45) * 85 - 94", "solution_steps": ["Multiply: -45 * 85 = -3825", "Subtract: 804 - (-3825) = 4629", "Subtract: 4629 - 94 = 4535"], "final_answer": "4535", "answer_type": "integer", "kind": "expression", "math_text": "804 - (-45) * 85 - 94", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 804, \"b\": -45, \"c\": 85, \"d\": 94}", "seed": "6192603719078217415", "semantic_fingerprint": "sha256:8b01d12835230f9801da1500bb203b8e7049fc50d56b99e2889fea08fac4ac1b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005004", "prompt": "What is (-5 - (-233)) * (-9 / (-67) / 82)?", "solution_steps": ["Subtract: -5 - (-233) = 228", "Divide: -9 / (-67) = 9/67", "Divide: (9/67) / 82 = 9/5494", "Multiply: 228 * (9/5494) = 1026/2747"], "final_answer": "1026/2747", "answer_type": "rational", "kind": "expression", "math_text": "(-5 - (-233)) * (-9 / (-67) / 82)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -233, \"c\": -9, \"d\": -67, \"e\": 82}", "seed": "14013494559485535667", "semantic_fingerprint": "sha256:e5e586d561824e81f057e3f85ab4c1c492a799083607251bbb0ea1bf99f6ecc7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005005", "prompt": "Calculate: (-983 + (-5)) / (3 / 61)", "solution_steps": ["Add: -983 + (-5) = -988", "Divide: 3 / 61 = 3/61", "Divide: -988 / (3/61) = -60268/3"], "final_answer": "-60268/3", "answer_type": "rational", "kind": "expression", "math_text": "(-983 + (-5)) / (3 / 61)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -983, \"b\": -5, \"c\": 3, \"d\": 61}", "seed": "9286045853989598320", "semantic_fingerprint": "sha256:9c867206126c6c4c258fc94e3a1b2fc7af23be05ce11f5ae9d5e018a955a97eb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005006", "prompt": "Calculate: 1 * (4 + 417 + 711) * (-35)", "solution_steps": ["Add: 4 + 417 = 421", "Add: 421 + 711 = 1132", "Multiply: 1 * 1132 = 1132", "Multiply: 1132 * (-35) = -39620"], "final_answer": "-39620", "answer_type": "integer", "kind": "expression", "math_text": "1 * (4 + 417 + 711) * (-35)", "variable": null, "family": "expression_4op", "shape": "(* (* n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 4, \"c\": 417, \"d\": 711, \"e\": -35}", "seed": "17536016727093806123", "semantic_fingerprint": "sha256:168cd20c3a2f6eb0f1ff7f36dd173e77208728f40528736bc93ce7db9032d582", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005007", "prompt": "Solve the equation -8(x - 1) + 5 = 12(x - 2) for x.", "solution_steps": ["Expand: -8x + 8 + 5 = 12(x - 2)", "Expand: -8x + 8 + 5 = 12x - 24", "Combine constants: -8x + 13 = 12x - 24", "Subtract 12x from both sides: -20x + 13 = -24", "Subtract 13 from both sides: -20x = -37", "Divide both sides by -20: x = 37/20"], "final_answer": "37/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 1) + 5 = 12(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 1, \"c\": 5, \"d\": 12, \"e\": 2}", "seed": "1682356294874288573", "semantic_fingerprint": "sha256:e868494de5b5e763d7f1dd841f9f3c460b1da1ada1cbc3310ce379d2eb6ba2eb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005008", "prompt": "What is 9 - 68 - (-1 + (-250)) - (-41) * 64?", "solution_steps": ["Subtract: 9 - 68 = -59", "Add: -1 + (-250) = -251", "Subtract: -59 - (-251) = 192", "Multiply: -41 * 64 = -2624", "Subtract: 192 - (-2624) = 2816"], "final_answer": "2816", "answer_type": "integer", "kind": "expression", "math_text": "9 - 68 - (-1 + (-250)) - (-41) * 64", "variable": null, "family": "expression_5op", "shape": "(- (- (- n n) (+ n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 68, \"c\": -1, \"d\": -250, \"e\": -41, \"f\": 64}", "seed": "5797603336760078254", "semantic_fingerprint": "sha256:aa29e132004d7d13802ff7f56d4edf8c8045c07e1e2d33039a3e27edb8b6bfc3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005009", "prompt": "Evaluate: (-65 * (-4) - (-182)) / (-37 / 2)", "solution_steps": ["Multiply: -65 * (-4) = 260", "Subtract: 260 - (-182) = 442", "Divide: -37 / 2 = -37/2", "Divide: 442 / (-37/2) = -884/37"], "final_answer": "-884/37", "answer_type": "rational", "kind": "expression", "math_text": "(-65 * (-4) - (-182)) / (-37 / 2)", "variable": null, "family": "expression_4op", "shape": "(/ (- (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -4, \"c\": -182, \"d\": -37, \"e\": 2}", "seed": "15525219937218407405", "semantic_fingerprint": "sha256:824911a14495acd0883ba0bafd41adef87bcb929ccaacc2411900dc77656aa0a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005010", "prompt": "What value of x satisfies 12(x - 6) + 591 = -9(x - 46)?", "solution_steps": ["Expand: 12x - 72 + 591 = -9(x - 46)", "Expand: 12x - 72 + 591 = -9x + 414", "Combine constants: 12x + 519 = -9x + 414", "Add 9x to both sides: 21x + 519 = 414", "Subtract 519 from both sides: 21x = -105", "Divide both sides by 21: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 6) + 591 = -9(x - 46)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 6, \"c\": -9, \"d\": 46, \"f\": 591, \"x\": -5}", "seed": "12834597036516114375", "semantic_fingerprint": "sha256:76205c42c3244a64446e3e75be7a59c06d275dee9e9cf0a3a93e4927069988de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005011", "prompt": "Find x: 3(x - 9) - 21 = -11(x - 3) - 39", "solution_steps": ["Expand: 3x - 27 - 21 = -11(x - 3) - 39", "Expand: 3x - 27 - 21 = -11x + 33 - 39", "Combine constants: 3x - 48 = -11x + 33 - 39", "Combine constants: 3x - 48 = -11x - 6", "Add 11x to both sides: 14x - 48 = -6", "Add 48 to both sides: 14x = 42", "Divide both sides by 14: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 9) - 21 = -11(x - 3) - 39", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 21, \"d\": -11, \"e\": 3, \"g\": -39, \"x\": 3}", "seed": "4291636558380032287", "semantic_fingerprint": "sha256:a29fd8645ab050dca8a4341c365c4c93b2efe774b2ebac21176739d1e41e84dd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005012", "prompt": "Solve the equation 5(x - 7) + 19 = 4(x - 8) for x.", "solution_steps": ["Expand: 5x - 35 + 19 = 4(x - 8)", "Expand: 5x - 35 + 19 = 4x - 32", "Combine constants: 5x - 16 = 4x - 32", "Subtract 4x from both sides: x - 16 = -32", "Add 16 to both sides: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 7) + 19 = 4(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": 4, \"d\": 8, \"f\": 19, \"x\": -16}", "seed": "16950771063930482889", "semantic_fingerprint": "sha256:09b048f4059289e3c716f78d15ff997ec583efd6e556861b6441e0564dca2809", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005013", "prompt": "What is 71 / 87 + (754 / (-28) + (-95))?", "solution_steps": ["Divide: 71 / 87 = 71/87", "Divide: 754 / (-28) = -377/14", "Add: -377/14 + (-95) = -1707/14", "Add: 71/87 + (-1707/14) = -147515/1218"], "final_answer": "-147515/1218", "answer_type": "rational", "kind": "expression", "math_text": "71 / 87 + (754 / (-28) + (-95))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 87, \"c\": 754, \"d\": -28, \"e\": -95}", "seed": "9108793338984325601", "semantic_fingerprint": "sha256:c123ebb2b6c4c6de254b6861c295dd61990a0e2db1956a098e23dff396e03381", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005014", "prompt": "Solve for x: -9(x - 118) - 972 = -3(x - 4)", "solution_steps": ["Expand: -9x + 1062 - 972 = -3(x - 4)", "Expand: -9x + 1062 - 972 = -3x + 12", "Combine constants: -9x + 90 = -3x + 12", "Add 3x to both sides: -6x + 90 = 12", "Subtract 90 from both sides: -6x = -78", "Divide both sides by -6: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 118) - 972 = -3(x - 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 118, \"c\": -3, \"d\": 4, \"f\": -972, \"x\": 13}", "seed": "18193931984738535688", "semantic_fingerprint": "sha256:1cab8959dfcae50e6932ae144a91911807cdf1c4b4b1fe8656c58d3587d63cc3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005015", "prompt": "Solve the equation -12(x + 3) - 234 = x - 101 for x.", "solution_steps": ["Expand: -12x - 36 - 234 = x - 101", "Combine constants: -12x - 270 = x - 101", "Subtract x from both sides: -13x - 270 = -101", "Add 270 to both sides: -13x = 169", "Divide both sides by -13: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 3) - 234 = x - 101", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 3, \"c\": 234, \"e\": -101, \"x\": -13}", "seed": "7591334014193172804", "semantic_fingerprint": "sha256:d150e2c4f37965e108a90ea49df63be892250d51b12e6ff9a4c1a9402ddf4442", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005016", "prompt": "Compute: (4 - 226) * (-20 * 11)", "solution_steps": ["Subtract: 4 - 226 = -222", "Multiply: -20 * 11 = -220", "Multiply: -222 * (-220) = 48840"], "final_answer": "48840", "answer_type": "integer", "kind": "expression", "math_text": "(4 - 226) * (-20 * 11)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 226, \"c\": -20, \"d\": 11}", "seed": "14872216040461829588", "semantic_fingerprint": "sha256:874ab3d7912b77f5a9d10f8c25c2c94ff537438fcdd1c775bfe0d1f352a95df6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005017", "prompt": "Solve the equation x - 36 = 3(x - 29) + 53 for x.", "solution_steps": ["Expand: x - 36 = 3x - 87 + 53", "Combine constants: x - 36 = 3x - 34", "Subtract 3x from both sides: -2x - 36 = -34", "Add 36 to both sides: -2x = 2", "Divide both sides by -2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 36 = 3(x - 29) + 53", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": 3, \"c\": 29, \"e\": 53, \"x\": -1}", "seed": "17990577964204758045", "semantic_fingerprint": "sha256:ba125aad90f93db3621635bb9f377d657ab9adb05042820b8da19e8b3dbdf087", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005018", "prompt": "Solve for x: -9(x - 7) + 739 = 8(x + 24) - 67", "solution_steps": ["Expand: -9x + 63 + 739 = 8(x + 24) - 67", "Expand: -9x + 63 + 739 = 8x + 192 - 67", "Combine constants: -9x + 802 = 8x + 192 - 67", "Combine constants: -9x + 802 = 8x + 125", "Subtract 8x from both sides: -17x + 802 = 125", "Subtract 802 from both sides: -17x = -677", "Divide both sides by -17: x = 677/17"], "final_answer": "677/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 7) + 739 = 8(x + 24) - 67", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 7, \"c\": 739, \"d\": 8, \"e\": 24, \"f\": 67}", "seed": "4714026930197026435", "semantic_fingerprint": "sha256:6553821539b1a6f9ab25111df9a1907304814479a3f42abbc45b66c92488a14c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005019", "prompt": "What value of x satisfies -12(x - 28) - 95 = 2(x - 9) - 914?", "solution_steps": ["Expand: -12x + 336 - 95 = 2(x - 9) - 914", "Expand: -12x + 336 - 95 = 2x - 18 - 914", "Combine constants: -12x + 241 = 2x - 18 - 914", "Combine constants: -12x + 241 = 2x - 932", "Subtract 2x from both sides: -14x + 241 = -932", "Subtract 241 from both sides: -14x = -1173", "Divide both sides by -14: x = 1173/14"], "final_answer": "1173/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 28) - 95 = 2(x - 9) - 914", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 28, \"c\": 95, \"d\": 2, \"e\": 9, \"f\": 914}", "seed": "1345455827748338295", "semantic_fingerprint": "sha256:ad81188fefb131bfdabe16132b4e12b904f0315def8b7212251c7d15e41ee24a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005020", "prompt": "What is 0 + (-9) - (-7) * (-4) / (-58)?", "solution_steps": ["Add: 0 + (-9) = -9", "Multiply: -7 * (-4) = 28", "Divide: 28 / (-58) = -14/29", "Subtract: -9 - (-14/29) = -247/29"], "final_answer": "-247/29", "answer_type": "rational", "kind": "expression", "math_text": "0 + (-9) - (-7) * (-4) / (-58)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -9, \"c\": -7, \"d\": -4, \"e\": -58}", "seed": "12076228191299363720", "semantic_fingerprint": "sha256:a50ad896c08c78a2d3f5b24f0ffaf99797a335a80c9c7081bf71efaf23c1c998", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005021", "prompt": "Compute: -9 - (-62) / (999 / (-7))", "solution_steps": ["Divide: 999 / (-7) = -999/7", "Divide: -62 / (-999/7) = 434/999", "Subtract: -9 - 434/999 = -9425/999"], "final_answer": "-9425/999", "answer_type": "rational", "kind": "expression", "math_text": "-9 - (-62) / (999 / (-7))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -62, \"c\": 999, \"d\": -7}", "seed": "3544099804049781310", "semantic_fingerprint": "sha256:5709c2594da07f71e2aa5cdda2002b8988a84eb61716896b106c17304a8586e0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005022", "prompt": "Solve the equation -11(x + 72) - 7 = x - 63 for x.", "solution_steps": ["Expand: -11x - 792 - 7 = x - 63", "Combine constants: -11x - 799 = x - 63", "Subtract x from both sides: -12x - 799 = -63", "Add 799 to both sides: -12x = 736", "Divide both sides by -12: x = -184/3"], "final_answer": "-184/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 72) - 7 = x - 63", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 72, \"c\": 7, \"d\": 63}", "seed": "17882673237245804165", "semantic_fingerprint": "sha256:59ed01ced6313e883adde2700b2cfbcd888ccf11f7da9292c0c8b01a38169a3d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005023", "prompt": "Compute: 713 - (-11 + (-944 - 61))", "solution_steps": ["Subtract: -944 - 61 = -1005", "Add: -11 + (-1005) = -1016", "Subtract: 713 - (-1016) = 1729"], "final_answer": "1729", "answer_type": "integer", "kind": "expression", "math_text": "713 - (-11 + (-944 - 61))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 713, \"b\": -11, \"c\": -944, \"d\": 61}", "seed": "17780994899015707435", "semantic_fingerprint": "sha256:fbba66d0bdd470221bff7962dd6b03a1fb61ff5e6618394ed8386787310f21f6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005024", "prompt": "Solve the equation 9(x - 961) + 7 = 7x + 831 for x.", "solution_steps": ["Expand: 9x - 8649 + 7 = 7x + 831", "Combine constants: 9x - 8642 = 7x + 831", "Subtract 7x from both sides: 2x - 8642 = 831", "Add 8642 to both sides: 2x = 9473", "Divide both sides by 2: x = 9473/2"], "final_answer": "9473/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 961) + 7 = 7x + 831", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 961, \"c\": 7, \"d\": 7, \"e\": 831}", "seed": "12947948615899909751", "semantic_fingerprint": "sha256:7ef97c0ac135e101b4b703ed002c73cef919ea7c49d58b807eb32002db946bc4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005025", "prompt": "What is -631 * (4 / (-5) / (-222))?", "solution_steps": ["Divide: 4 / (-5) = -4/5", "Divide: (-4/5) / (-222) = 2/555", "Multiply: -631 * (2/555) = -1262/555"], "final_answer": "-1262/555", "answer_type": "rational", "kind": "expression", "math_text": "-631 * (4 / (-5) / (-222))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -631, \"b\": 4, \"c\": -5, \"d\": -222}", "seed": "17575050235477395301", "semantic_fingerprint": "sha256:e3348c0c5883c7581a2d79b510b90f931d913a47427ae8cb8343aa1000ce2ed6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005026", "prompt": "Calculate: 4 + (1 / (-6) - (-56) - 2)", "solution_steps": ["Divide: 1 / (-6) = -1/6", "Subtract: -1/6 - (-56) = 335/6", "Subtract: 335/6 - 2 = 323/6", "Add: 4 + 323/6 = 347/6"], "final_answer": "347/6", "answer_type": "rational", "kind": "expression", "math_text": "4 + (1 / (-6) - (-56) - 2)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (- (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": -6, \"d\": -56, \"e\": 2}", "seed": "733034528772849102", "semantic_fingerprint": "sha256:b71ca44289e0c5ab6fe9855c263730b5fa9ad77dbcfa5d2cb81cd7b0a1725b78", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005027", "prompt": "Compute: -7 + (-35 * (-245 * 60) - (-646 + 8))", "solution_steps": ["Multiply: -245 * 60 = -14700", "Multiply: -35 * (-14700) = 514500", "Add: -646 + 8 = -638", "Subtract: 514500 - (-638) = 515138", "Add: -7 + 515138 = 515131"], "final_answer": "515131", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (-35 * (-245 * 60) - (-646 + 8))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (* n (* n n)) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -35, \"c\": -245, \"d\": 60, \"e\": -646, \"f\": 8}", "seed": "3181871857126187299", "semantic_fingerprint": "sha256:c77622b729884fe0cb01998d8ebb1544a4c2deb193fd064d3e7975be1e5cc08b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005028", "prompt": "Compute: -8 / (0 + 20 - (-46) / 716)", "solution_steps": ["Add: 0 + 20 = 20", "Divide: -46 / 716 = -23/358", "Subtract: 20 - (-23/358) = 7183/358", "Divide: -8 / (7183/358) = -2864/7183"], "final_answer": "-2864/7183", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (0 + 20 - (-46) / 716)", "variable": null, "family": "expression_4op", "shape": "(/ n (- (+ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 0, \"c\": 20, \"d\": -46, \"e\": 716}", "seed": "5435510553361908156", "semantic_fingerprint": "sha256:b6fad09f7b3ed306425b10cc60dc378037efa99a280ad51b7a21b5ee81e76b26", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005029", "prompt": "Solve for x: 7(x - 29) + 304 = 5x + 115", "solution_steps": ["Expand: 7x - 203 + 304 = 5x + 115", "Combine constants: 7x + 101 = 5x + 115", "Subtract 5x from both sides: 2x + 101 = 115", "Subtract 101 from both sides: 2x = 14", "Divide both sides by 2: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 29) + 304 = 5x + 115", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 29, \"c\": 304, \"d\": 5, \"f\": 115, \"x\": 7}", "seed": "5546979381518426087", "semantic_fingerprint": "sha256:1ebcfa20c1a7cd70abf9b646704c0b655ca8eb953895263060842158dfe7cd39", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005030", "prompt": "Calculate: (-650 - 38 / (-24)) / 52", "solution_steps": ["Divide: 38 / (-24) = -19/12", "Subtract: -650 - (-19/12) = -7781/12", "Divide: (-7781/12) / 52 = -7781/624"], "final_answer": "-7781/624", "answer_type": "rational", "kind": "expression", "math_text": "(-650 - 38 / (-24)) / 52", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -650, \"b\": 38, \"c\": -24, \"d\": 52}", "seed": "1148989356623220397", "semantic_fingerprint": "sha256:d4ad2e3a2c0eb0be56efa4f434e1aa7f50487b84d941f08140152ec8bd83afbe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005031", "prompt": "What is 121 - (-838) + (-68 / (-3) - 82)?", "solution_steps": ["Subtract: 121 - (-838) = 959", "Divide: -68 / (-3) = 68/3", "Subtract: 68/3 - 82 = -178/3", "Add: 959 + (-178/3) = 2699/3"], "final_answer": "2699/3", "answer_type": "rational", "kind": "expression", "math_text": "121 - (-838) + (-68 / (-3) - 82)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 121, \"b\": -838, \"c\": -68, \"d\": -3, \"e\": 82}", "seed": "5842341043231138955", "semantic_fingerprint": "sha256:e98abbc072fc06477cc14c3ae7aa076c1b0662553b00f081fb94a3ff313197b8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005032", "prompt": "Solve for x: x - 6 = 8(x - 54) + 391", "solution_steps": ["Expand: x - 6 = 8x - 432 + 391", "Combine constants: x - 6 = 8x - 41", "Subtract 8x from both sides: -7x - 6 = -41", "Add 6 to both sides: -7x = -35", "Divide both sides by -7: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6 = 8(x - 54) + 391", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 54, \"e\": 391, \"x\": 5}", "seed": "12485980397517057866", "semantic_fingerprint": "sha256:73c559bf6f7f9cd092e8f7f520d0dac8ba1d0ae1c4e5ceb2de1421cd354a3ffc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005033", "prompt": "Calculate: -46 / (798 * 1 / (-7))", "solution_steps": ["Multiply: 798 * 1 = 798", "Divide: 798 / (-7) = -114", "Divide: -46 / (-114) = 23/57"], "final_answer": "23/57", "answer_type": "rational", "kind": "expression", "math_text": "-46 / (798 * 1 / (-7))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": 798, \"c\": 1, \"d\": -7}", "seed": "8743314336587831701", "semantic_fingerprint": "sha256:3529bf04b80537579a2459c03a22610704326560279273146f30c2c442d36883", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005034", "prompt": "Find x: 3(x - 31) + 85 = 11(x + 19) - 345", "solution_steps": ["Expand: 3x - 93 + 85 = 11(x + 19) - 345", "Expand: 3x - 93 + 85 = 11x + 209 - 345", "Combine constants: 3x - 8 = 11x + 209 - 345", "Combine constants: 3x - 8 = 11x - 136", "Subtract 11x from both sides: -8x - 8 = -136", "Add 8 to both sides: -8x = -128", "Divide both sides by -8: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 31) + 85 = 11(x + 19) - 345", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 31, \"c\": 85, \"d\": 11, \"e\": 19, \"g\": -345, \"x\": 16}", "seed": "16058884000535729268", "semantic_fingerprint": "sha256:0315584f677325fab7365acc8f249ddf51cfb0ff16a2e1cf128361d90dbfb34b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005035", "prompt": "Find x: 5(x - 5) + 8 = 3(x + 72) - 257", "solution_steps": ["Expand: 5x - 25 + 8 = 3(x + 72) - 257", "Expand: 5x - 25 + 8 = 3x + 216 - 257", "Combine constants: 5x - 17 = 3x + 216 - 257", "Combine constants: 5x - 17 = 3x - 41", "Subtract 3x from both sides: 2x - 17 = -41", "Add 17 to both sides: 2x = -24", "Divide both sides by 2: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 5) + 8 = 3(x + 72) - 257", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 5, \"c\": 8, \"d\": 3, \"e\": 72, \"g\": -257, \"x\": -12}", "seed": "12568552286160610034", "semantic_fingerprint": "sha256:a7f4edaba48935334e1c9a2e19c3dddc0732ac8dcd5814c16234ba9389b03a2d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005036", "prompt": "Compute: -1 / (40 - (-901) + (-21))", "solution_steps": ["Subtract: 40 - (-901) = 941", "Add: 941 + (-21) = 920", "Divide: -1 / 920 = -1/920"], "final_answer": "-1/920", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (40 - (-901) + (-21))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 40, \"c\": -901, \"d\": -21}", "seed": "1673523439443510274", "semantic_fingerprint": "sha256:60f4731196e95b7ccbbd744fb6bfe2330501c9bcd8290271c2157c40628dcb41", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005037", "prompt": "Evaluate: (1 - (-52)) * (-882 / 19)", "solution_steps": ["Subtract: 1 - (-52) = 53", "Divide: -882 / 19 = -882/19", "Multiply: 53 * (-882/19) = -46746/19"], "final_answer": "-46746/19", "answer_type": "rational", "kind": "expression", "math_text": "(1 - (-52)) * (-882 / 19)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -52, \"c\": -882, \"d\": 19}", "seed": "7370682154005109326", "semantic_fingerprint": "sha256:f8e640a9dd37f1c5236dbb0c57ffde2e0e63199372bf1b87b759b070c10d1cf4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005038", "prompt": "Calculate: -5 - (-670 - (-3 - (-791) / (-56)) + 672)", "solution_steps": ["Divide: -791 / (-56) = 113/8", "Subtract: -3 - 113/8 = -137/8", "Subtract: -670 - (-137/8) = -5223/8", "Add: -5223/8 + 672 = 153/8", "Subtract: -5 - 153/8 = -193/8"], "final_answer": "-193/8", "answer_type": "rational", "kind": "expression", "math_text": "-5 - (-670 - (-3 - (-791) / (-56)) + 672)", "variable": null, "family": "expression_5op", "shape": "(- n (+ (- n (- n (/ n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -670, \"c\": -3, \"d\": -791, \"e\": -56, \"f\": 672}", "seed": "14845407409543427770", "semantic_fingerprint": "sha256:465bd0ed2edfe285d9dc42d89d576801c5f3e53be438066916a0cd6f31c3ad9b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005039", "prompt": "Calculate: 0 - (-4 - 49 * 99 + (-462))", "solution_steps": ["Multiply: 49 * 99 = 4851", "Subtract: -4 - 4851 = -4855", "Add: -4855 + (-462) = -5317", "Subtract: 0 - (-5317) = 5317"], "final_answer": "5317", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-4 - 49 * 99 + (-462))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (- n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -4, \"c\": 49, \"d\": 99, \"e\": -462}", "seed": "8188451885647849068", "semantic_fingerprint": "sha256:eca5afa597fd5ecdb2c0d21f9d1b02bf0469e84014c304200234196b5b7c41d9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005040", "prompt": "What is -71 / (-27) + (-542) / (-60)?", "solution_steps": ["Divide: -71 / (-27) = 71/27", "Divide: -542 / (-60) = 271/30", "Add: 71/27 + 271/30 = 3149/270"], "final_answer": "3149/270", "answer_type": "rational", "kind": "expression", "math_text": "-71 / (-27) + (-542) / (-60)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": -27, \"c\": -542, \"d\": -60}", "seed": "9782366025985318081", "semantic_fingerprint": "sha256:c137c1d45fee615c2bed9a6e52e278b49c1467dedc6f7edfdaca32c4bd244c50", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005041", "prompt": "Compute: -15 + (-8) / (-13) / (-5 / 3)", "solution_steps": ["Divide: -8 / (-13) = 8/13", "Divide: -5 / 3 = -5/3", "Divide: (8/13) / (-5/3) = -24/65", "Add: -15 + (-24/65) = -999/65"], "final_answer": "-999/65", "answer_type": "rational", "kind": "expression", "math_text": "-15 + (-8) / (-13) / (-5 / 3)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (/ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": -8, \"c\": -13, \"d\": -5, \"e\": 3}", "seed": "2544397697044875746", "semantic_fingerprint": "sha256:c506891e99d720586dde48a2c0ccd028762191b5467df81a02430b7ba1390b91", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005042", "prompt": "Compute: (-8 / 30 + (-51)) * 8", "solution_steps": ["Divide: -8 / 30 = -4/15", "Add: -4/15 + (-51) = -769/15", "Multiply: (-769/15) * 8 = -6152/15"], "final_answer": "-6152/15", "answer_type": "rational", "kind": "expression", "math_text": "(-8 / 30 + (-51)) * 8", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 30, \"c\": -51, \"d\": 8}", "seed": "1795381763716953511", "semantic_fingerprint": "sha256:c2807dc9cdd174bec60ffa0653875eec9a15099de4b835bbc9822e69fedccca6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005043", "prompt": "Calculate: (-96 - 72) / (91 * (-38))", "solution_steps": ["Subtract: -96 - 72 = -168", "Multiply: 91 * (-38) = -3458", "Divide: -168 / (-3458) = 12/247"], "final_answer": "12/247", "answer_type": "rational", "kind": "expression", "math_text": "(-96 - 72) / (91 * (-38))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": 72, \"c\": 91, \"d\": -38}", "seed": "13461642337104255607", "semantic_fingerprint": "sha256:4d68ad5145868a8b92340a58b7379fd914b8f14dccdc1bed823182f9c40423c5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005044", "prompt": "Compute: (248 + 65 - 9) * 58 + 25 + (-8)", "solution_steps": ["Add: 248 + 65 = 313", "Subtract: 313 - 9 = 304", "Multiply: 304 * 58 = 17632", "Add: 17632 + 25 = 17657", "Add: 17657 + (-8) = 17649"], "final_answer": "17649", "answer_type": "integer", "kind": "expression", "math_text": "(248 + 65 - 9) * 58 + 25 + (-8)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* (- (+ n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 248, \"b\": 65, \"c\": 9, \"d\": 58, \"e\": 25, \"f\": -8}", "seed": "3413366446751466031", "semantic_fingerprint": "sha256:cec336452fd2448c9da7753494d1fb9c35840ac9b664034864a4e6e777eb001e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005045", "prompt": "Evaluate: (4 * 79 + (-402)) * 87", "solution_steps": ["Multiply: 4 * 79 = 316", "Add: 316 + (-402) = -86", "Multiply: -86 * 87 = -7482"], "final_answer": "-7482", "answer_type": "integer", "kind": "expression", "math_text": "(4 * 79 + (-402)) * 87", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 79, \"c\": -402, \"d\": 87}", "seed": "15005932876929314747", "semantic_fingerprint": "sha256:93b7a4465375de15a17783993c29b69d326d4a822ba96ceb0fa81072e1265c49", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005046", "prompt": "Compute: 9 - 8 / (3 * (-3))", "solution_steps": ["Multiply: 3 * (-3) = -9", "Divide: 8 / (-9) = -8/9", "Subtract: 9 - (-8/9) = 89/9"], "final_answer": "89/9", "answer_type": "rational", "kind": "expression", "math_text": "9 - 8 / (3 * (-3))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 3, \"d\": -3}", "seed": "17574086913073272227", "semantic_fingerprint": "sha256:f8dbb2956bdcd1d0640576b4951cc72153b61d294ae36db656a0f92cfd06871d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005047", "prompt": "Solve for x: 3(x - 20) - 3 = 10(x - 7)", "solution_steps": ["Expand: 3x - 60 - 3 = 10(x - 7)", "Expand: 3x - 60 - 3 = 10x - 70", "Combine constants: 3x - 63 = 10x - 70", "Subtract 10x from both sides: -7x - 63 = -70", "Add 63 to both sides: -7x = -7", "Divide both sides by -7: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 20) - 3 = 10(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 20, \"c\": 10, \"d\": 7, \"f\": -3, \"x\": 1}", "seed": "3632941482902918530", "semantic_fingerprint": "sha256:42018b20c67f59475196a95b7b541e6f6e1c6fdd18d699cec6ecc9df5b0b938f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005048", "prompt": "Compute: (0 * (-656 * 840) - (-781)) * (636 - (-29))", "solution_steps": ["Multiply: -656 * 840 = -551040", "Multiply: 0 * (-551040) = 0", "Subtract: 0 - (-781) = 781", "Subtract: 636 - (-29) = 665", "Multiply: 781 * 665 = 519365"], "final_answer": "519365", "answer_type": "integer", "kind": "expression", "math_text": "(0 * (-656 * 840) - (-781)) * (636 - (-29))", "variable": null, "family": "expression_5op", "shape": "(* (- (* n (* n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -656, \"c\": 840, \"d\": -781, \"e\": 636, \"f\": -29}", "seed": "16069394082416303679", "semantic_fingerprint": "sha256:3bd34d1284d5ddf9f32005c7015e663d818954c04fb636647740537266f6b3a1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005049", "prompt": "Find x: 4(x - 65) = 10x - 320", "solution_steps": ["Expand: 4x - 260 = 10x - 320", "Subtract 10x from both sides: -6x - 260 = -320", "Add 260 to both sides: -6x = -60", "Divide both sides by -6: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 65) = 10x - 320", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 65, \"c\": 10, \"e\": -320, \"x\": 10}", "seed": "1218467554622821645", "semantic_fingerprint": "sha256:f5d6c74ff52cf6acc07d939945d8df03901772afa328683b936e247df8456d14", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005050", "prompt": "Calculate: 4 + (0 / (-59) + (-938 + 0))", "solution_steps": ["Divide: 0 / (-59) = 0", "Add: -938 + 0 = -938", "Add: 0 + (-938) = -938", "Add: 4 + (-938) = -934"], "final_answer": "-934", "answer_type": "integer", "kind": "expression", "math_text": "4 + (0 / (-59) + (-938 + 0))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 0, \"c\": -59, \"d\": -938, \"e\": 0}", "seed": "910778674436007932", "semantic_fingerprint": "sha256:838a522f9059c96a534666f7256285d9698459c52269e35639bf4d612306238c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005051", "prompt": "Solve for x: x - 65 = 3(x - 46) + 107", "solution_steps": ["Expand: x - 65 = 3x - 138 + 107", "Combine constants: x - 65 = 3x - 31", "Subtract 3x from both sides: -2x - 65 = -31", "Add 65 to both sides: -2x = 34", "Divide both sides by -2: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 65 = 3(x - 46) + 107", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 3, \"c\": 46, \"e\": 107, \"x\": -17}", "seed": "15837802290923005767", "semantic_fingerprint": "sha256:5406df2e39c01069b7bda5e70535f4a1d610dc5b4001aca7189b071f9d29bcd6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005052", "prompt": "Compute: 3 - 469 / (-85 * 51)", "solution_steps": ["Multiply: -85 * 51 = -4335", "Divide: 469 / (-4335) = -469/4335", "Subtract: 3 - (-469/4335) = 13474/4335"], "final_answer": "13474/4335", "answer_type": "rational", "kind": "expression", "math_text": "3 - 469 / (-85 * 51)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 469, \"c\": -85, \"d\": 51}", "seed": "9489846767478367446", "semantic_fingerprint": "sha256:66457262d3c9f4f032aacbb2e226c2a226cbb563cc5ac4b1540ad8b13609f8b4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005053", "prompt": "Solve for x: 10(x - 8) - 6 = -5(x - 8) - 291", "solution_steps": ["Expand: 10x - 80 - 6 = -5(x - 8) - 291", "Expand: 10x - 80 - 6 = -5x + 40 - 291", "Combine constants: 10x - 86 = -5x + 40 - 291", "Combine constants: 10x - 86 = -5x - 251", "Add 5x to both sides: 15x - 86 = -251", "Add 86 to both sides: 15x = -165", "Divide both sides by 15: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 8) - 6 = -5(x - 8) - 291", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"c\": 6, \"d\": -5, \"e\": 8, \"g\": -291, \"x\": -11}", "seed": "8860498883122176290", "semantic_fingerprint": "sha256:3213592604390ddc7f87b6e716fdda282aaf894c1c4cf2ffc11657dd885608d0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005054", "prompt": "Compute: 976 / (6 * 46) - 96", "solution_steps": ["Multiply: 6 * 46 = 276", "Divide: 976 / 276 = 244/69", "Subtract: 244/69 - 96 = -6380/69"], "final_answer": "-6380/69", "answer_type": "rational", "kind": "expression", "math_text": "976 / (6 * 46) - 96", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 976, \"b\": 6, \"c\": 46, \"d\": 96}", "seed": "7589517167908026195", "semantic_fingerprint": "sha256:f59959192fdd34d43a6af91be085435bafdba3f98e3dc56b401cf82869b2d2eb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005055", "prompt": "What is (-820 - 77 - 694) * (-90 + (-3))?", "solution_steps": ["Subtract: -820 - 77 = -897", "Subtract: -897 - 694 = -1591", "Add: -90 + (-3) = -93", "Multiply: -1591 * (-93) = 147963"], "final_answer": "147963", "answer_type": "integer", "kind": "expression", "math_text": "(-820 - 77 - 694) * (-90 + (-3))", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -820, \"b\": 77, \"c\": 694, \"d\": -90, \"e\": -3}", "seed": "9738278575305568134", "semantic_fingerprint": "sha256:ed7a78e01188e2189f7ca6b538c1272eb591fc84798a644330bb4d10d569070c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005056", "prompt": "Compute: (93 + (-803) + (-22)) * 692", "solution_steps": ["Add: 93 + (-803) = -710", "Add: -710 + (-22) = -732", "Multiply: -732 * 692 = -506544"], "final_answer": "-506544", "answer_type": "integer", "kind": "expression", "math_text": "(93 + (-803) + (-22)) * 692", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": -803, \"c\": -22, \"d\": 692}", "seed": "6666694292269401086", "semantic_fingerprint": "sha256:1e713b7773bb81661177c1dd57002e12c04db07c11e63ace646aec4d8a0421cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005057", "prompt": "Evaluate: 7 - (-5 + (5 - 146))", "solution_steps": ["Subtract: 5 - 146 = -141", "Add: -5 + (-141) = -146", "Subtract: 7 - (-146) = 153"], "final_answer": "153", "answer_type": "integer", "kind": "expression", "math_text": "7 - (-5 + (5 - 146))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -5, \"c\": 5, \"d\": 146}", "seed": "556361942348992507", "semantic_fingerprint": "sha256:338026c479467a16565b08d32b8b896838221cd401f865de8cfebc327a40577a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005058", "prompt": "Compute: -441 - 740 + 57 * (-2 * (-13 - (-77)))", "solution_steps": ["Subtract: -441 - 740 = -1181", "Subtract: -13 - (-77) = 64", "Multiply: -2 * 64 = -128", "Multiply: 57 * (-128) = -7296", "Add: -1181 + (-7296) = -8477"], "final_answer": "-8477", "answer_type": "integer", "kind": "expression", "math_text": "-441 - 740 + 57 * (-2 * (-13 - (-77)))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (* n (* n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -441, \"b\": 740, \"c\": 57, \"d\": -2, \"e\": -13, \"f\": -77}", "seed": "1486595021632715910", "semantic_fingerprint": "sha256:41d743bc65ac538638ba22b70f3b44d6878788e6c0050f11856c5f01c235889b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005059", "prompt": "What is -49 / (-2) / (613 * (-4)) - 89?", "solution_steps": ["Divide: -49 / (-2) = 49/2", "Multiply: 613 * (-4) = -2452", "Divide: (49/2) / (-2452) = -49/4904", "Subtract: -49/4904 - 89 = -436505/4904"], "final_answer": "-436505/4904", "answer_type": "rational", "kind": "expression", "math_text": "-49 / (-2) / (613 * (-4)) - 89", "variable": null, "family": "expression_4op", "shape": "(- (/ (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": -2, \"c\": 613, \"d\": -4, \"e\": 89}", "seed": "6726485141956563369", "semantic_fingerprint": "sha256:826623289f3a27eca8423f7b5f414dbe26ad7ec70eaf126735e3ced8dddb572d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005060", "prompt": "Find x: 10(x + 38) - 627 = x - 265", "solution_steps": ["Expand: 10x + 380 - 627 = x - 265", "Combine constants: 10x - 247 = x - 265", "Subtract x from both sides: 9x - 247 = -265", "Add 247 to both sides: 9x = -18", "Divide both sides by 9: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 38) - 627 = x - 265", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 38, \"c\": 627, \"e\": -265, \"x\": -2}", "seed": "13291248057263452549", "semantic_fingerprint": "sha256:6dd95211fbf2542d7ccc6be24425bd88660f3a5a9b792e06bef0e74c3abf833e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005061", "prompt": "Find x: x - 3 = -7(x - 4) + 89", "solution_steps": ["Expand: x - 3 = -7x + 28 + 89", "Combine constants: x - 3 = -7x + 117", "Add 7x to both sides: 8x - 3 = 117", "Add 3 to both sides: 8x = 120", "Divide both sides by 8: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3 = -7(x - 4) + 89", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -7, \"c\": 4, \"e\": 89, \"x\": 15}", "seed": "2497269647698019139", "semantic_fingerprint": "sha256:ddd53ec61ea58d4d0383ab2059236ca4274220457a93cc01ffb0efe390063b15", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005062", "prompt": "Solve for x: -11(x - 8) - 95 = 12(x - 177)", "solution_steps": ["Expand: -11x + 88 - 95 = 12(x - 177)", "Expand: -11x + 88 - 95 = 12x - 2124", "Combine constants: -11x - 7 = 12x - 2124", "Subtract 12x from both sides: -23x - 7 = -2124", "Add 7 to both sides: -23x = -2117", "Divide both sides by -23: x = 2117/23"], "final_answer": "2117/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 8) - 95 = 12(x - 177)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 8, \"c\": 95, \"d\": 12, \"e\": 177}", "seed": "4899294874653873853", "semantic_fingerprint": "sha256:53c54d5b381fc22dce23e1ecf701870f449e8cba797a7a36a446758da796fae2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005063", "prompt": "What is -9 * 3 - (87 + 71) - (73 - 0)?", "solution_steps": ["Multiply: -9 * 3 = -27", "Add: 87 + 71 = 158", "Subtract: -27 - 158 = -185", "Subtract: 73 - 0 = 73", "Subtract: -185 - 73 = -258"], "final_answer": "-258", "answer_type": "integer", "kind": "expression", "math_text": "-9 * 3 - (87 + 71) - (73 - 0)", "variable": null, "family": "expression_5op", "shape": "(- (- (* n n) (+ n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 3, \"c\": 87, \"d\": 71, \"e\": 73, \"f\": 0}", "seed": "6007094756591690510", "semantic_fingerprint": "sha256:a54015a4ae696f841870b6799d2c2a45d8196486527dff381fecb44eb4cb7458", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005064", "prompt": "Compute: -656 * 1 + (13 / 888 - (-7))", "solution_steps": ["Multiply: -656 * 1 = -656", "Divide: 13 / 888 = 13/888", "Subtract: 13/888 - (-7) = 6229/888", "Add: -656 + 6229/888 = -576299/888"], "final_answer": "-576299/888", "answer_type": "rational", "kind": "expression", "math_text": "-656 * 1 + (13 / 888 - (-7))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -656, \"b\": 1, \"c\": 13, \"d\": 888, \"e\": -7}", "seed": "15850874564987643110", "semantic_fingerprint": "sha256:4750e36ae1b53ba88864344f47eb65c74fbbdb8071d1e17edb1470cd1492471c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005065", "prompt": "Calculate: (-20 / (-7) - (-3)) * (-1 * (-1))", "solution_steps": ["Divide: -20 / (-7) = 20/7", "Subtract: 20/7 - (-3) = 41/7", "Multiply: -1 * (-1) = 1", "Multiply: (41/7) * 1 = 41/7"], "final_answer": "41/7", "answer_type": "rational", "kind": "expression", "math_text": "(-20 / (-7) - (-3)) * (-1 * (-1))", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": -7, \"c\": -3, \"d\": -1, \"e\": -1}", "seed": "15542445188813636857", "semantic_fingerprint": "sha256:4c741c0abf89056e39d3176472e1a2b43e110ac8da3fec7d496d7236187adae0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005066", "prompt": "Calculate: (82 - (-4 + (-61 + 50 - 4))) * (-937)", "solution_steps": ["Add: -61 + 50 = -11", "Subtract: -11 - 4 = -15", "Add: -4 + (-15) = -19", "Subtract: 82 - (-19) = 101", "Multiply: 101 * (-937) = -94637"], "final_answer": "-94637", "answer_type": "integer", "kind": "expression", "math_text": "(82 - (-4 + (-61 + 50 - 4))) * (-937)", "variable": null, "family": "expression_5op", "shape": "(* (- n (+ n (- (+ n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": -4, \"c\": -61, \"d\": 50, \"e\": 4, \"f\": -937}", "seed": "5409507436194540803", "semantic_fingerprint": "sha256:711df21c617b43969bc7a5f3abbd7c287936702fcac3607077ed43ca4dcbd1c6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005067", "prompt": "What value of x satisfies 3(x - 4) - 577 = 8(x - 68)?", "solution_steps": ["Expand: 3x - 12 - 577 = 8(x - 68)", "Expand: 3x - 12 - 577 = 8x - 544", "Combine constants: 3x - 589 = 8x - 544", "Subtract 8x from both sides: -5x - 589 = -544", "Add 589 to both sides: -5x = 45", "Divide both sides by -5: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 4) - 577 = 8(x - 68)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"c\": 8, \"d\": 68, \"f\": -577, \"x\": -9}", "seed": "9666053618922790723", "semantic_fingerprint": "sha256:c5d607454a1331710209aaf226374742770b08792c45621f556677f65f46091d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005068", "prompt": "Evaluate: -6 / 30 * (-129) - 46 / 859", "solution_steps": ["Divide: -6 / 30 = -1/5", "Multiply: (-1/5) * (-129) = 129/5", "Divide: 46 / 859 = 46/859", "Subtract: 129/5 - 46/859 = 110581/4295"], "final_answer": "110581/4295", "answer_type": "rational", "kind": "expression", "math_text": "-6 / 30 * (-129) - 46 / 859", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 30, \"c\": -129, \"d\": 46, \"e\": 859}", "seed": "827610097104615328", "semantic_fingerprint": "sha256:e2836ab08ab895caac94c6015e0cf93c7b792c82e5bd90e8dc7a0115716eec4f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005069", "prompt": "Solve the equation -10(x + 8) - 51 = x - 32 for x.", "solution_steps": ["Expand: -10x - 80 - 51 = x - 32", "Combine constants: -10x - 131 = x - 32", "Subtract x from both sides: -11x - 131 = -32", "Add 131 to both sides: -11x = 99", "Divide both sides by -11: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 8) - 51 = x - 32", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 8, \"c\": 51, \"e\": -32, \"x\": -9}", "seed": "10090049661768160137", "semantic_fingerprint": "sha256:2eb8d5f3a214cf00c5e04a9d1c8b1126c15bdf27a7516501998431f3ea7a5368", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005070", "prompt": "What is 378 * 97 / 9 / (-93)?", "solution_steps": ["Multiply: 378 * 97 = 36666", "Divide: 36666 / 9 = 4074", "Divide: 4074 / (-93) = -1358/31"], "final_answer": "-1358/31", "answer_type": "rational", "kind": "expression", "math_text": "378 * 97 / 9 / (-93)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 378, \"b\": 97, \"c\": 9, \"d\": -93}", "seed": "10295560476826383619", "semantic_fingerprint": "sha256:0375d03f94f8b553b54bf042a6c54615d17a9dc2e50aa4e80e457a92827d1780", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005071", "prompt": "What is (-920 - (-80)) * (-1) / (189 * 9)?", "solution_steps": ["Subtract: -920 - (-80) = -840", "Multiply: -840 * (-1) = 840", "Multiply: 189 * 9 = 1701", "Divide: 840 / 1701 = 40/81"], "final_answer": "40/81", "answer_type": "rational", "kind": "expression", "math_text": "(-920 - (-80)) * (-1) / (189 * 9)", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -920, \"b\": -80, \"c\": -1, \"d\": 189, \"e\": 9}", "seed": "8798214055740256311", "semantic_fingerprint": "sha256:e5982c4c7306c21b46cd3a32a82944d942f663f0bd200ddb7a52fa5eed8f56f8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005072", "prompt": "What value of x satisfies 8(x - 49) + 32 = 5(x + 6) - 378?", "solution_steps": ["Expand: 8x - 392 + 32 = 5(x + 6) - 378", "Expand: 8x - 392 + 32 = 5x + 30 - 378", "Combine constants: 8x - 360 = 5x + 30 - 378", "Combine constants: 8x - 360 = 5x - 348", "Subtract 5x from both sides: 3x - 360 = -348", "Add 360 to both sides: 3x = 12", "Divide both sides by 3: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 49) + 32 = 5(x + 6) - 378", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 49, \"c\": 32, \"d\": 5, \"e\": 6, \"g\": -378, \"x\": 4}", "seed": "4105634944014800102", "semantic_fingerprint": "sha256:e24771b58231a2a0505ef768a1bdb9d79d71d46517b85d3ccab18d976eb64513", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005073", "prompt": "What value of x satisfies 6(x - 9) + 29 = 11(x + 2) - 92?", "solution_steps": ["Expand: 6x - 54 + 29 = 11(x + 2) - 92", "Expand: 6x - 54 + 29 = 11x + 22 - 92", "Combine constants: 6x - 25 = 11x + 22 - 92", "Combine constants: 6x - 25 = 11x - 70", "Subtract 11x from both sides: -5x - 25 = -70", "Add 25 to both sides: -5x = -45", "Divide both sides by -5: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 9) + 29 = 11(x + 2) - 92", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 29, \"d\": 11, \"e\": 2, \"g\": -92, \"x\": 9}", "seed": "593092150129212833", "semantic_fingerprint": "sha256:4048c2638835f075c4d5bae06fc445d6313b74245ef3e9181aaece39c0dd98b6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005074", "prompt": "Find x: -4(x - 73) - 811 = 4(x - 70) - 327", "solution_steps": ["Expand: -4x + 292 - 811 = 4(x - 70) - 327", "Expand: -4x + 292 - 811 = 4x - 280 - 327", "Combine constants: -4x - 519 = 4x - 280 - 327", "Combine constants: -4x - 519 = 4x - 607", "Subtract 4x from both sides: -8x - 519 = -607", "Add 519 to both sides: -8x = -88", "Divide both sides by -8: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 73) - 811 = 4(x - 70) - 327", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 73, \"c\": 811, \"d\": 4, \"e\": 70, \"g\": -327, \"x\": 11}", "seed": "1461727180207438812", "semantic_fingerprint": "sha256:b7222903157e8e86b1fcda3a88ad7b41e73a8ed6fd750dbc2e23dc4ed2640428", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005075", "prompt": "Compute: 7 / (-24 * (-582) / (-798))", "solution_steps": ["Multiply: -24 * (-582) = 13968", "Divide: 13968 / (-798) = -2328/133", "Divide: 7 / (-2328/133) = -931/2328"], "final_answer": "-931/2328", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-24 * (-582) / (-798))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -24, \"c\": -582, \"d\": -798}", "seed": "1140133879409348067", "semantic_fingerprint": "sha256:883772db112bdd50c81d1727d2a5d3e35e1ddb40ba87d486170c2c4505c8fa1f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005076", "prompt": "Solve the equation x - 71 = 2(x - 74) + 89 for x.", "solution_steps": ["Expand: x - 71 = 2x - 148 + 89", "Combine constants: x - 71 = 2x - 59", "Subtract 2x from both sides: -x - 71 = -59", "Add 71 to both sides: -x = 12", "Divide both sides by -1: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 71 = 2(x - 74) + 89", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 2, \"c\": 74, \"e\": 89, \"x\": -12}", "seed": "17916391459174832827", "semantic_fingerprint": "sha256:6ea72865035abb85d642f3b62426e7cf1344e8dcaac70138c2227abc774462c3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005077", "prompt": "Compute: (867 / (-492) + (-33)) * (-52)", "solution_steps": ["Divide: 867 / (-492) = -289/164", "Add: -289/164 + (-33) = -5701/164", "Multiply: (-5701/164) * (-52) = 74113/41"], "final_answer": "74113/41", "answer_type": "rational", "kind": "expression", "math_text": "(867 / (-492) + (-33)) * (-52)", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 867, \"b\": -492, \"c\": -33, \"d\": -52}", "seed": "5051790481857942343", "semantic_fingerprint": "sha256:1f4e18b346cf5d35c598b98a573b924f6f1439a4c40389eb56d86e7df1425e62", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005078", "prompt": "Solve for x: 2(x - 44) + 170 = -2(x - 25)", "solution_steps": ["Expand: 2x - 88 + 170 = -2(x - 25)", "Expand: 2x - 88 + 170 = -2x + 50", "Combine constants: 2x + 82 = -2x + 50", "Add 2x to both sides: 4x + 82 = 50", "Subtract 82 from both sides: 4x = -32", "Divide both sides by 4: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 44) + 170 = -2(x - 25)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 44, \"c\": -2, \"d\": 25, \"f\": 170, \"x\": -8}", "seed": "15998498632340022727", "semantic_fingerprint": "sha256:c9f26510121763e25592e34f6b502a39357587e417ccb17ee296e400047063b0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005079", "prompt": "Solve for x: -3(x - 6) - 35 = 8(x - 9)", "solution_steps": ["Expand: -3x + 18 - 35 = 8(x - 9)", "Expand: -3x + 18 - 35 = 8x - 72", "Combine constants: -3x - 17 = 8x - 72", "Subtract 8x from both sides: -11x - 17 = -72", "Add 17 to both sides: -11x = -55", "Divide both sides by -11: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 6) - 35 = 8(x - 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 6, \"c\": 8, \"d\": 9, \"f\": -35, \"x\": 5}", "seed": "5378714442559350632", "semantic_fingerprint": "sha256:413948bbe7b7274148e81f5b3feb5407c1528fcbb3916c995f4b373419a9f35c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005080", "prompt": "What value of x satisfies 5(x - 46) = 11x - 110?", "solution_steps": ["Expand: 5x - 230 = 11x - 110", "Subtract 11x from both sides: -6x - 230 = -110", "Add 230 to both sides: -6x = 120", "Divide both sides by -6: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 46) = 11x - 110", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 46, \"c\": 11, \"e\": -110, \"x\": -20}", "seed": "16777405576631609494", "semantic_fingerprint": "sha256:fab9feb930be6bdf31bb86de1e3723d4bbfaec758100f1fbe312c3672e2f9302", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005081", "prompt": "Solve for x: -8(x - 84) - 55 = 11(x - 877) - 604", "solution_steps": ["Expand: -8x + 672 - 55 = 11(x - 877) - 604", "Expand: -8x + 672 - 55 = 11x - 9647 - 604", "Combine constants: -8x + 617 = 11x - 9647 - 604", "Combine constants: -8x + 617 = 11x - 10251", "Subtract 11x from both sides: -19x + 617 = -10251", "Subtract 617 from both sides: -19x = -10868", "Divide both sides by -19: x = 572"], "final_answer": "572", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 84) - 55 = 11(x - 877) - 604", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 84, \"c\": 55, \"d\": 11, \"e\": 877, \"f\": 604}", "seed": "16408025797644952590", "semantic_fingerprint": "sha256:5d95ad05ee56eddce9e5271ebffb9748e1d3f5f8944fad5540c8ca4d312320fb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005082", "prompt": "What value of x satisfies 2(x - 20) - 73 = -3(x - 2) - 119?", "solution_steps": ["Expand: 2x - 40 - 73 = -3(x - 2) - 119", "Expand: 2x - 40 - 73 = -3x + 6 - 119", "Combine constants: 2x - 113 = -3x + 6 - 119", "Combine constants: 2x - 113 = -3x - 113", "Add 3x to both sides: 5x - 113 = -113", "Add 113 to both sides: 5x = 0", "Divide both sides by 5: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 20) - 73 = -3(x - 2) - 119", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 20, \"c\": 73, \"d\": -3, \"e\": 2, \"g\": -119, \"x\": 0}", "seed": "12485484348585519419", "semantic_fingerprint": "sha256:6db55acfd81d1c7ad8d2f65ceabf82bc18c8a99d7e6e4f191ce431d4a8fd30b5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005083", "prompt": "What value of x satisfies 7(x - 4) = 5x - 4?", "solution_steps": ["Expand: 7x - 28 = 5x - 4", "Subtract 5x from both sides: 2x - 28 = -4", "Add 28 to both sides: 2x = 24", "Divide both sides by 2: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 4) = 5x - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 5, \"e\": -4, \"x\": 12}", "seed": "8102213706794760090", "semantic_fingerprint": "sha256:808bcb9eb45ded37b58772743c1479c536d7c49fd9291b653a06141f78f1f5dd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005084", "prompt": "Calculate: -717 + (3 * 590 - (-3) * 53 / 8)", "solution_steps": ["Multiply: 3 * 590 = 1770", "Multiply: -3 * 53 = -159", "Divide: -159 / 8 = -159/8", "Subtract: 1770 - (-159/8) = 14319/8", "Add: -717 + 14319/8 = 8583/8"], "final_answer": "8583/8", "answer_type": "rational", "kind": "expression", "math_text": "-717 + (3 * 590 - (-3) * 53 / 8)", "variable": null, "family": "expression_5op", "shape": "(+ n (- (* n n) (/ (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -717, \"b\": 3, \"c\": 590, \"d\": -3, \"e\": 53, \"f\": 8}", "seed": "2756180422473371473", "semantic_fingerprint": "sha256:78b5edab264db2d0664c431220d8afb1642fa20025eeac1562a7c3d1c33a6736", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005085", "prompt": "What is (-313 - 78 - (-895 - 71)) * 7?", "solution_steps": ["Subtract: -313 - 78 = -391", "Subtract: -895 - 71 = -966", "Subtract: -391 - (-966) = 575", "Multiply: 575 * 7 = 4025"], "final_answer": "4025", "answer_type": "integer", "kind": "expression", "math_text": "(-313 - 78 - (-895 - 71)) * 7", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -313, \"b\": 78, \"c\": -895, \"d\": 71, \"e\": 7}", "seed": "3747435932242432455", "semantic_fingerprint": "sha256:81fda7fee08b3f86eaefe7f759f493ed319aaf6a2942435ff834e488997e9efd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005086", "prompt": "Find x: x - 721 = 12(x - 272) + 195", "solution_steps": ["Expand: x - 721 = 12x - 3264 + 195", "Combine constants: x - 721 = 12x - 3069", "Subtract 12x from both sides: -11x - 721 = -3069", "Add 721 to both sides: -11x = -2348", "Divide both sides by -11: x = 2348/11"], "final_answer": "2348/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 721 = 12(x - 272) + 195", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 721, \"b\": 12, \"c\": 272, \"d\": 195}", "seed": "1632381491533542489", "semantic_fingerprint": "sha256:77d353c694475f0b9749f942286df1a7822f747a16b2eb0a7c802bd14a4a0901", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005087", "prompt": "Compute: (7 / 45 - 9 * 53) / 56", "solution_steps": ["Divide: 7 / 45 = 7/45", "Multiply: 9 * 53 = 477", "Subtract: 7/45 - 477 = -21458/45", "Divide: (-21458/45) / 56 = -10729/1260"], "final_answer": "-10729/1260", "answer_type": "rational", "kind": "expression", "math_text": "(7 / 45 - 9 * 53) / 56", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 45, \"c\": 9, \"d\": 53, \"e\": 56}", "seed": "8017186659860894572", "semantic_fingerprint": "sha256:2de156e30885c0c74651354078e182f0fc78760b7e0f12741abf46356a3d2e3a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005088", "prompt": "Solve the equation 6(x - 61) = 2x - 414 for x.", "solution_steps": ["Expand: 6x - 366 = 2x - 414", "Subtract 2x from both sides: 4x - 366 = -414", "Add 366 to both sides: 4x = -48", "Divide both sides by 4: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 61) = 2x - 414", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 61, \"c\": 2, \"e\": -414, \"x\": -12}", "seed": "8673939736793657657", "semantic_fingerprint": "sha256:8d8f6375dc0b34a0ed30d0fbb293e0debe39b2ccde3e14f98fad8e2843608788", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005089", "prompt": "Solve the equation -11x - 40 = 8(x + 2) + 286 for x.", "solution_steps": ["Expand: -11x - 40 = 8x + 16 + 286", "Combine constants: -11x - 40 = 8x + 302", "Subtract 8x from both sides: -19x - 40 = 302", "Add 40 to both sides: -19x = 342", "Divide both sides by -19: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 40 = 8(x + 2) + 286", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 40, \"c\": 8, \"d\": 2, \"f\": 286, \"x\": -18}", "seed": "8680523201265102656", "semantic_fingerprint": "sha256:923c7e1c8c478bb67e41fe226c35ac983077162cda2283ad4eccad879727fa8c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005090", "prompt": "What is -1 * (-634) / (-210 + (-21))?", "solution_steps": ["Multiply: -1 * (-634) = 634", "Add: -210 + (-21) = -231", "Divide: 634 / (-231) = -634/231"], "final_answer": "-634/231", "answer_type": "rational", "kind": "expression", "math_text": "-1 * (-634) / (-210 + (-21))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -634, \"c\": -210, \"d\": -21}", "seed": "14456000139717736214", "semantic_fingerprint": "sha256:a6c0f237664928feff3ae5880e250857f0ba4d340fbf620d172a757bf743b1c5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005091", "prompt": "Calculate: 6 / (-2 * 79 / 579)", "solution_steps": ["Multiply: -2 * 79 = -158", "Divide: -158 / 579 = -158/579", "Divide: 6 / (-158/579) = -1737/79"], "final_answer": "-1737/79", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-2 * 79 / 579)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -2, \"c\": 79, \"d\": 579}", "seed": "6315068265955066203", "semantic_fingerprint": "sha256:332e9545961bf68155a29a0aeed17eb88d46feec547deb0839dc4b8b7e09acce", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005092", "prompt": "Find x: 8(x + 7) + 77 = 5(x + 24) - 38", "solution_steps": ["Expand: 8x + 56 + 77 = 5(x + 24) - 38", "Expand: 8x + 56 + 77 = 5x + 120 - 38", "Combine constants: 8x + 133 = 5x + 120 - 38", "Combine constants: 8x + 133 = 5x + 82", "Subtract 5x from both sides: 3x + 133 = 82", "Subtract 133 from both sides: 3x = -51", "Divide both sides by 3: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 7) + 77 = 5(x + 24) - 38", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 77, \"d\": 5, \"e\": 24, \"g\": -38, \"x\": -17}", "seed": "16290428388046289247", "semantic_fingerprint": "sha256:7acbbde3d83bf222919761fa15bfd2eecc2d11064cb11a8ae985ff02ea9df7ee", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005093", "prompt": "What is (-343 - (-9) + (-5)) * (-71)?", "solution_steps": ["Subtract: -343 - (-9) = -334", "Add: -334 + (-5) = -339", "Multiply: -339 * (-71) = 24069"], "final_answer": "24069", "answer_type": "integer", "kind": "expression", "math_text": "(-343 - (-9) + (-5)) * (-71)", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -343, \"b\": -9, \"c\": -5, \"d\": -71}", "seed": "13468099660310715548", "semantic_fingerprint": "sha256:b12d79e88625e218764083b85b857f2d51c0d3ba6eda4931fe546dede8addab9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005094", "prompt": "Solve the equation -8(x + 9) - 892 = x - 964 for x.", "solution_steps": ["Expand: -8x - 72 - 892 = x - 964", "Combine constants: -8x - 964 = x - 964", "Subtract x from both sides: -9x - 964 = -964", "Add 964 to both sides: -9x = 0", "Divide both sides by -9: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 9) - 892 = x - 964", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 9, \"c\": 892, \"e\": -964, \"x\": 0}", "seed": "9330915346881407392", "semantic_fingerprint": "sha256:b95160cbf5b6c4783993b071a250aeee9ce24fa58a35c26aec36bc3d2b336125", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005095", "prompt": "Compute: 47 * (-7) - (3 / 29 - (-307) / 87)", "solution_steps": ["Multiply: 47 * (-7) = -329", "Divide: 3 / 29 = 3/29", "Divide: -307 / 87 = -307/87", "Subtract: 3/29 - (-307/87) = 316/87", "Subtract: -329 - 316/87 = -28939/87"], "final_answer": "-28939/87", "answer_type": "rational", "kind": "expression", "math_text": "47 * (-7) - (3 / 29 - (-307) / 87)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (- (/ n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": -7, \"c\": 3, \"d\": 29, \"e\": -307, \"f\": 87}", "seed": "5152460989939156325", "semantic_fingerprint": "sha256:32c70595587f9524373795582b840d383fdaee8ab955b703886fb257dde7548d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005096", "prompt": "What is 6 + 63 / (250 - (-55))?", "solution_steps": ["Subtract: 250 - (-55) = 305", "Divide: 63 / 305 = 63/305", "Add: 6 + 63/305 = 1893/305"], "final_answer": "1893/305", "answer_type": "rational", "kind": "expression", "math_text": "6 + 63 / (250 - (-55))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 63, \"c\": 250, \"d\": -55}", "seed": "11616013044815175688", "semantic_fingerprint": "sha256:66ee2f192ac5684fee7e7a85d9e384c302d409ee8b81d0e13e4a15191b65d5c8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005097", "prompt": "Solve the equation 9x - 97 = -4(x + 25) + 3 for x.", "solution_steps": ["Expand: 9x - 97 = -4x - 100 + 3", "Combine constants: 9x - 97 = -4x - 97", "Add 4x to both sides: 13x - 97 = -97", "Add 97 to both sides: 13x = 0", "Divide both sides by 13: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 97 = -4(x + 25) + 3", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 97, \"c\": -4, \"d\": 25, \"f\": 3, \"x\": 0}", "seed": "11740429777583588335", "semantic_fingerprint": "sha256:b4b3bbc321503831ce2532db6ab58dfb78a5c97a7546844c1bc3532788d39299", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005098", "prompt": "Evaluate: (904 - (-10 + 9)) * 821 / 21", "solution_steps": ["Add: -10 + 9 = -1", "Subtract: 904 - (-1) = 905", "Multiply: 905 * 821 = 743005", "Divide: 743005 / 21 = 743005/21"], "final_answer": "743005/21", "answer_type": "rational", "kind": "expression", "math_text": "(904 - (-10 + 9)) * 821 / 21", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 904, \"b\": -10, \"c\": 9, \"d\": 821, \"e\": 21}", "seed": "13234400023807128818", "semantic_fingerprint": "sha256:e2f30b4dda5ac3203d729ba53fe8f4fe3e513959e0b327de14275e4daa3cb74b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005099", "prompt": "Solve for x: 5(x - 115) = -10x - 380", "solution_steps": ["Expand: 5x - 575 = -10x - 380", "Add 10x to both sides: 15x - 575 = -380", "Add 575 to both sides: 15x = 195", "Divide both sides by 15: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 115) = -10x - 380", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 115, \"c\": -10, \"e\": -380, \"x\": 13}", "seed": "2922651729271714454", "semantic_fingerprint": "sha256:d5fae4de680fa39e2410fdaf2cdc05f4a138454d731d8c4109dc33233d235cc1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005100", "prompt": "Solve the equation -12(x + 9) - 424 = x - 792 for x.", "solution_steps": ["Expand: -12x - 108 - 424 = x - 792", "Combine constants: -12x - 532 = x - 792", "Subtract x from both sides: -13x - 532 = -792", "Add 532 to both sides: -13x = -260", "Divide both sides by -13: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 9) - 424 = x - 792", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 9, \"c\": 424, \"e\": -792, \"x\": 20}", "seed": "13655101517622513844", "semantic_fingerprint": "sha256:55d341d8f7af40040c9a089504a0a40adb54c1a4d368c1545d375e4b6f882423", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005101", "prompt": "Solve for x: x - 81 = 4(x - 42) + 111", "solution_steps": ["Expand: x - 81 = 4x - 168 + 111", "Combine constants: x - 81 = 4x - 57", "Subtract 4x from both sides: -3x - 81 = -57", "Add 81 to both sides: -3x = 24", "Divide both sides by -3: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 81 = 4(x - 42) + 111", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 4, \"c\": 42, \"e\": 111, \"x\": -8}", "seed": "5228161140022100598", "semantic_fingerprint": "sha256:a76fa537d3782def2e01b182b8982bbce0e0b44b2384caaaa84d9759c7189184", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005102", "prompt": "Solve the equation 5(x + 4) - 4 = x - 20 for x.", "solution_steps": ["Expand: 5x + 20 - 4 = x - 20", "Combine constants: 5x + 16 = x - 20", "Subtract x from both sides: 4x + 16 = -20", "Subtract 16 from both sides: 4x = -36", "Divide both sides by 4: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 4) - 4 = x - 20", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 4, \"e\": -20, \"x\": -9}", "seed": "6038787853226966921", "semantic_fingerprint": "sha256:9ac70e2c90558d8c55244047fc6455e0c9c3fd4b00d65108f34e36f046bda2bf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005103", "prompt": "Evaluate: 45 / (-39 / (393 - 3)) + 1", "solution_steps": ["Subtract: 393 - 3 = 390", "Divide: -39 / 390 = -1/10", "Divide: 45 / (-1/10) = -450", "Add: -450 + 1 = -449"], "final_answer": "-449", "answer_type": "integer", "kind": "expression", "math_text": "45 / (-39 / (393 - 3)) + 1", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (/ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": -39, \"c\": 393, \"d\": 3, \"e\": 1}", "seed": "7184953597183536906", "semantic_fingerprint": "sha256:b16f0da171a57a13b87dfba94f41f79adfc3050262b86a6d98b6d7cf7281a0a4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005104", "prompt": "Find x: -3(x - 2) - 1 = 11(x - 41) - 27", "solution_steps": ["Expand: -3x + 6 - 1 = 11(x - 41) - 27", "Expand: -3x + 6 - 1 = 11x - 451 - 27", "Combine constants: -3x + 5 = 11x - 451 - 27", "Combine constants: -3x + 5 = 11x - 478", "Subtract 11x from both sides: -14x + 5 = -478", "Subtract 5 from both sides: -14x = -483", "Divide both sides by -14: x = 69/2"], "final_answer": "69/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 2) - 1 = 11(x - 41) - 27", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 2, \"c\": 1, \"d\": 11, \"e\": 41, \"f\": 27}", "seed": "4624563067379562044", "semantic_fingerprint": "sha256:41f3bbace286407320d39e3e1e92578e9a6ae188e799660f97da41b2149682eb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005105", "prompt": "Calculate: 2 + 1 - (36 - 751) * (-113 - 617)", "solution_steps": ["Add: 2 + 1 = 3", "Subtract: 36 - 751 = -715", "Subtract: -113 - 617 = -730", "Multiply: -715 * (-730) = 521950", "Subtract: 3 - 521950 = -521947"], "final_answer": "-521947", "answer_type": "integer", "kind": "expression", "math_text": "2 + 1 - (36 - 751) * (-113 - 617)", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (* (- n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 1, \"c\": 36, \"d\": 751, \"e\": -113, \"f\": 617}", "seed": "12744713888040270904", "semantic_fingerprint": "sha256:3a51f653dfa0ccd470e875d3cf4ca0d03fe609cee4298e8bc335abd13e59ee92", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005106", "prompt": "Solve the equation 10(x - 79) + 572 = 2(x - 53) for x.", "solution_steps": ["Expand: 10x - 790 + 572 = 2(x - 53)", "Expand: 10x - 790 + 572 = 2x - 106", "Combine constants: 10x - 218 = 2x - 106", "Subtract 2x from both sides: 8x - 218 = -106", "Add 218 to both sides: 8x = 112", "Divide both sides by 8: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 79) + 572 = 2(x - 53)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 79, \"c\": 2, \"d\": 53, \"f\": 572, \"x\": 14}", "seed": "18297485661567753840", "semantic_fingerprint": "sha256:18dcb2fad7b68f3f450b66304ca51c6a7de6fed59c5c0b1ceccc3f30039f251e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005107", "prompt": "Evaluate: (-36 - (82 + (-867 - (-1)))) * (-49)", "solution_steps": ["Subtract: -867 - (-1) = -866", "Add: 82 + (-866) = -784", "Subtract: -36 - (-784) = 748", "Multiply: 748 * (-49) = -36652"], "final_answer": "-36652", "answer_type": "integer", "kind": "expression", "math_text": "(-36 - (82 + (-867 - (-1)))) * (-49)", "variable": null, "family": "expression_4op", "shape": "(* (- n (+ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": 82, \"c\": -867, \"d\": -1, \"e\": -49}", "seed": "6175011778939698616", "semantic_fingerprint": "sha256:e4b6792617252125b7c4b5d4e69e60155fcf83bfabc3c8d0b51cec75396daa07", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005108", "prompt": "Solve the equation 7(x - 14) - 194 = 5(x - 58) for x.", "solution_steps": ["Expand: 7x - 98 - 194 = 5(x - 58)", "Expand: 7x - 98 - 194 = 5x - 290", "Combine constants: 7x - 292 = 5x - 290", "Subtract 5x from both sides: 2x - 292 = -290", "Add 292 to both sides: 2x = 2", "Divide both sides by 2: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 14) - 194 = 5(x - 58)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 14, \"c\": 5, \"d\": 58, \"f\": -194, \"x\": 1}", "seed": "1478759482842221972", "semantic_fingerprint": "sha256:1dc1acbf855390fcf171f6e5223325be3e5cc92d346f99aa5aa93e3e48d9bded", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005109", "prompt": "Solve the equation 12(x - 77) + 332 = -8(x + 26) - 324 for x.", "solution_steps": ["Expand: 12x - 924 + 332 = -8(x + 26) - 324", "Expand: 12x - 924 + 332 = -8x - 208 - 324", "Combine constants: 12x - 592 = -8x - 208 - 324", "Combine constants: 12x - 592 = -8x - 532", "Add 8x to both sides: 20x - 592 = -532", "Add 592 to both sides: 20x = 60", "Divide both sides by 20: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 77) + 332 = -8(x + 26) - 324", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 77, \"c\": 332, \"d\": -8, \"e\": 26, \"g\": -324, \"x\": 3}", "seed": "14996213109898411566", "semantic_fingerprint": "sha256:f656ce5f371b8892e4a969bd4b6a70270927e5c830f3db607d20d59d1cedb28e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005110", "prompt": "Find x: 2(x + 5) - 8 = x - 7", "solution_steps": ["Expand: 2x + 10 - 8 = x - 7", "Combine constants: 2x + 2 = x - 7", "Subtract x from both sides: x + 2 = -7", "Subtract 2 from both sides: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 5) - 8 = x - 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": 8, \"d\": 7}", "seed": "6682095647184084467", "semantic_fingerprint": "sha256:ff7a8587ac82a976144261edd3ba284b4d8cc6226ff7d6f9d4958ff1427f2e2e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005111", "prompt": "Compute: -186 / 5 + (561 - 78 - 0) / 540", "solution_steps": ["Divide: -186 / 5 = -186/5", "Subtract: 561 - 78 = 483", "Subtract: 483 - 0 = 483", "Divide: 483 / 540 = 161/180", "Add: -186/5 + 161/180 = -1307/36"], "final_answer": "-1307/36", "answer_type": "rational", "kind": "expression", "math_text": "-186 / 5 + (561 - 78 - 0) / 540", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (/ (- (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -186, \"b\": 5, \"c\": 561, \"d\": 78, \"e\": 0, \"f\": 540}", "seed": "8413932003377997960", "semantic_fingerprint": "sha256:830bdaafb008989b9fae44f74d3c33754355055e4e5e94f96a5c6c28f69d23d0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005112", "prompt": "What is (-13 + 1) / (877 / 18)?", "solution_steps": ["Add: -13 + 1 = -12", "Divide: 877 / 18 = 877/18", "Divide: -12 / (877/18) = -216/877"], "final_answer": "-216/877", "answer_type": "rational", "kind": "expression", "math_text": "(-13 + 1) / (877 / 18)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 1, \"c\": 877, \"d\": 18}", "seed": "15814152914634259051", "semantic_fingerprint": "sha256:00f7edd3d95f22387501b8ded6fcf5eaaf325d9841c6f829c6fd1b13bbd67aeb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005113", "prompt": "What is 58 + (-94) + (-70 - 8 / (-26) + (-78))?", "solution_steps": ["Add: 58 + (-94) = -36", "Divide: 8 / (-26) = -4/13", "Subtract: -70 - (-4/13) = -906/13", "Add: -906/13 + (-78) = -1920/13", "Add: -36 + (-1920/13) = -2388/13"], "final_answer": "-2388/13", "answer_type": "rational", "kind": "expression", "math_text": "58 + (-94) + (-70 - 8 / (-26) + (-78))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (+ (- n (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": -94, \"c\": -70, \"d\": 8, \"e\": -26, \"f\": -78}", "seed": "7484032413177423334", "semantic_fingerprint": "sha256:4f5220252589b60a98b1c5fd4eb899e95889251b6ee05bd52a1b44ab04a56ee8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005114", "prompt": "What value of x satisfies -5(x + 7) - 549 = x - 638?", "solution_steps": ["Expand: -5x - 35 - 549 = x - 638", "Combine constants: -5x - 584 = x - 638", "Subtract x from both sides: -6x - 584 = -638", "Add 584 to both sides: -6x = -54", "Divide both sides by -6: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 7) - 549 = x - 638", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 7, \"c\": 549, \"e\": -638, \"x\": 9}", "seed": "7221351479893031569", "semantic_fingerprint": "sha256:94ab0886aefc63b737c863157ab0f396009e34e1aef74ebfd8a47a70d187acb8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005115", "prompt": "Solve for x: -7(x - 56) + 3 = 4x + 208", "solution_steps": ["Expand: -7x + 392 + 3 = 4x + 208", "Combine constants: -7x + 395 = 4x + 208", "Subtract 4x from both sides: -11x + 395 = 208", "Subtract 395 from both sides: -11x = -187", "Divide both sides by -11: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 56) + 3 = 4x + 208", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 56, \"c\": 3, \"d\": 4, \"f\": 208, \"x\": 17}", "seed": "7834437760857762363", "semantic_fingerprint": "sha256:0256241cdc781b92eca83981e34c7041571693a88ac355e58ae7181973b0e77a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005116", "prompt": "What is -86 - 252 - (-92 + 5) - (-6) * 7?", "solution_steps": ["Subtract: -86 - 252 = -338", "Add: -92 + 5 = -87", "Subtract: -338 - (-87) = -251", "Multiply: -6 * 7 = -42", "Subtract: -251 - (-42) = -209"], "final_answer": "-209", "answer_type": "integer", "kind": "expression", "math_text": "-86 - 252 - (-92 + 5) - (-6) * 7", "variable": null, "family": "expression_5op", "shape": "(- (- (- n n) (+ n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": 252, \"c\": -92, \"d\": 5, \"e\": -6, \"f\": 7}", "seed": "2736544887346447232", "semantic_fingerprint": "sha256:fdf391df6eb2b65f7543538a84cb2346dd04e4ac0e8ad4e91a155743afd4e3f0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005117", "prompt": "Calculate: -91 + (-709) / (9 - (-6))", "solution_steps": ["Subtract: 9 - (-6) = 15", "Divide: -709 / 15 = -709/15", "Add: -91 + (-709/15) = -2074/15"], "final_answer": "-2074/15", "answer_type": "rational", "kind": "expression", "math_text": "-91 + (-709) / (9 - (-6))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -709, \"c\": 9, \"d\": -6}", "seed": "903993255870487018", "semantic_fingerprint": "sha256:fcd1aa20613e88a9611aa4193e1bf5ae1f529e6e666bee5cc26da92088ece165", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005118", "prompt": "Evaluate: (-2 - (-872)) * (-6) - (-622) - 6", "solution_steps": ["Subtract: -2 - (-872) = 870", "Multiply: 870 * (-6) = -5220", "Subtract: -5220 - (-622) = -4598", "Subtract: -4598 - 6 = -4604"], "final_answer": "-4604", "answer_type": "integer", "kind": "expression", "math_text": "(-2 - (-872)) * (-6) - (-622) - 6", "variable": null, "family": "expression_4op", "shape": "(- (- (* (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -872, \"c\": -6, \"d\": -622, \"e\": 6}", "seed": "15915413310366764919", "semantic_fingerprint": "sha256:623d88574d414c5a4ba6cf95c5055182545c3a609d7fd7157ea7ed4d6f431d88", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005119", "prompt": "Solve for x: 12(x + 63) - 905 = x - 281", "solution_steps": ["Expand: 12x + 756 - 905 = x - 281", "Combine constants: 12x - 149 = x - 281", "Subtract x from both sides: 11x - 149 = -281", "Add 149 to both sides: 11x = -132", "Divide both sides by 11: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 63) - 905 = x - 281", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 63, \"c\": 905, \"e\": -281, \"x\": -12}", "seed": "1721829636597232981", "semantic_fingerprint": "sha256:969f178830fd83b2bdea6424452cc1f07a3d5544e2becc7a3223c5a058b3bdc3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005120", "prompt": "Evaluate: 5 * (66 / (-52) / 4)", "solution_steps": ["Divide: 66 / (-52) = -33/26", "Divide: (-33/26) / 4 = -33/104", "Multiply: 5 * (-33/104) = -165/104"], "final_answer": "-165/104", "answer_type": "rational", "kind": "expression", "math_text": "5 * (66 / (-52) / 4)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 66, \"c\": -52, \"d\": 4}", "seed": "4900391085014490065", "semantic_fingerprint": "sha256:4a62aa897c67390fca4deceaf7b8b21ada4a228310b7d57fc4f08f7122addaed", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005121", "prompt": "Find x: 2(x + 511) - 42 = x - 2", "solution_steps": ["Expand: 2x + 1022 - 42 = x - 2", "Combine constants: 2x + 980 = x - 2", "Subtract x from both sides: x + 980 = -2", "Subtract 980 from both sides: x = -982"], "final_answer": "-982", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 511) - 42 = x - 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 511, \"c\": 42, \"d\": 2}", "seed": "10144168757734348886", "semantic_fingerprint": "sha256:b1b7eadc1bfc0b34a56007f024d1150127c02b6fc81d541207897a177f2efe91", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005122", "prompt": "Evaluate: (24 - 0 - (8 - 305)) / 6", "solution_steps": ["Subtract: 24 - 0 = 24", "Subtract: 8 - 305 = -297", "Subtract: 24 - (-297) = 321", "Divide: 321 / 6 = 107/2"], "final_answer": "107/2", "answer_type": "rational", "kind": "expression", "math_text": "(24 - 0 - (8 - 305)) / 6", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": 0, \"c\": 8, \"d\": 305, \"e\": 6}", "seed": "16638151492412593343", "semantic_fingerprint": "sha256:76589673155b52d6e30eadcca92eb9b729e916ffecbd1f252289ec60f3c7949f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005123", "prompt": "Calculate: 6 * 41 - (-9 - 42) * (-34)", "solution_steps": ["Multiply: 6 * 41 = 246", "Subtract: -9 - 42 = -51", "Multiply: -51 * (-34) = 1734", "Subtract: 246 - 1734 = -1488"], "final_answer": "-1488", "answer_type": "integer", "kind": "expression", "math_text": "6 * 41 - (-9 - 42) * (-34)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 41, \"c\": -9, \"d\": 42, \"e\": -34}", "seed": "13031202610888274328", "semantic_fingerprint": "sha256:3392655e5dafe1f06585e826ee74984929a003d4b80e7da2c1db959807a28276", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005124", "prompt": "Calculate: (-258 / (-725 - (-57)) - (-98 + 39)) / 8", "solution_steps": ["Subtract: -725 - (-57) = -668", "Divide: -258 / (-668) = 129/334", "Add: -98 + 39 = -59", "Subtract: 129/334 - (-59) = 19835/334", "Divide: (19835/334) / 8 = 19835/2672"], "final_answer": "19835/2672", "answer_type": "rational", "kind": "expression", "math_text": "(-258 / (-725 - (-57)) - (-98 + 39)) / 8", "variable": null, "family": "expression_5op", "shape": "(/ (- (/ n (- n n)) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -258, \"b\": -725, \"c\": -57, \"d\": -98, \"e\": 39, \"f\": 8}", "seed": "3108432519219622149", "semantic_fingerprint": "sha256:dd8e819703f85f787e4675b43d8eba754228f8c2b4f9d48f83c615818ee20521", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005125", "prompt": "Solve for x: -11x - 547 = 3(x + 297) + 5", "solution_steps": ["Expand: -11x - 547 = 3x + 891 + 5", "Combine constants: -11x - 547 = 3x + 896", "Subtract 3x from both sides: -14x - 547 = 896", "Add 547 to both sides: -14x = 1443", "Divide both sides by -14: x = -1443/14"], "final_answer": "-1443/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x - 547 = 3(x + 297) + 5", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 547, \"c\": 3, \"d\": 297, \"e\": 5}", "seed": "8542397680044085091", "semantic_fingerprint": "sha256:784eef516afb6ecd723adbdecc19df49c4eaf616f34b2c51219f8a2bb93a7f8c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005126", "prompt": "Evaluate: (7 - (-65) / (-4)) / 8", "solution_steps": ["Divide: -65 / (-4) = 65/4", "Subtract: 7 - 65/4 = -37/4", "Divide: (-37/4) / 8 = -37/32"], "final_answer": "-37/32", "answer_type": "rational", "kind": "expression", "math_text": "(7 - (-65) / (-4)) / 8", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -65, \"c\": -4, \"d\": 8}", "seed": "7704772798739563320", "semantic_fingerprint": "sha256:65f5723a851b9139ecb0acfa193a302089aef87aed6f158f9fe19d83b7128ff5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005127", "prompt": "Solve for x: 11(x - 80) = 12x - 887", "solution_steps": ["Expand: 11x - 880 = 12x - 887", "Subtract 12x from both sides: -x - 880 = -887", "Add 880 to both sides: -x = -7", "Divide both sides by -1: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 80) = 12x - 887", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 80, \"c\": 12, \"e\": -887, \"x\": 7}", "seed": "5497641796563288059", "semantic_fingerprint": "sha256:45959431524bf8d4a5906fa1189e84552020bd22407bf14f4fd8933b174a01ad", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005128", "prompt": "What is 0 - (5 + (-6 - 92))?", "solution_steps": ["Subtract: -6 - 92 = -98", "Add: 5 + (-98) = -93", "Subtract: 0 - (-93) = 93"], "final_answer": "93", "answer_type": "integer", "kind": "expression", "math_text": "0 - (5 + (-6 - 92))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 5, \"c\": -6, \"d\": 92}", "seed": "9108171982068487937", "semantic_fingerprint": "sha256:45001ffda55581d3f0702b43ae014d0fe079e1669fce8fe5a9679430978f99a5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005129", "prompt": "Compute: -7 - (2 - (5 - 54))", "solution_steps": ["Subtract: 5 - 54 = -49", "Subtract: 2 - (-49) = 51", "Subtract: -7 - 51 = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (2 - (5 - 54))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 2, \"c\": 5, \"d\": 54}", "seed": "17872960925520357249", "semantic_fingerprint": "sha256:f569e3f0316df5b381f7daf5d3bc896604d024f319d5fff27b06f395f2aa2d64", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005130", "prompt": "Find x: 6(x - 127) - 13 = 3(x - 669) - 11", "solution_steps": ["Expand: 6x - 762 - 13 = 3(x - 669) - 11", "Expand: 6x - 762 - 13 = 3x - 2007 - 11", "Combine constants: 6x - 775 = 3x - 2007 - 11", "Combine constants: 6x - 775 = 3x - 2018", "Subtract 3x from both sides: 3x - 775 = -2018", "Add 775 to both sides: 3x = -1243", "Divide both sides by 3: x = -1243/3"], "final_answer": "-1243/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 127) - 13 = 3(x - 669) - 11", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 127, \"c\": 13, \"d\": 3, \"e\": 669, \"f\": 11}", "seed": "3586185384362069179", "semantic_fingerprint": "sha256:f9c84c2349de45c7508e8ed5c6c2c88cf7ed1300c3721858c118e6a41166cb3f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005131", "prompt": "Compute: (-6 * (-64) + 873) * (-8)", "solution_steps": ["Multiply: -6 * (-64) = 384", "Add: 384 + 873 = 1257", "Multiply: 1257 * (-8) = -10056"], "final_answer": "-10056", "answer_type": "integer", "kind": "expression", "math_text": "(-6 * (-64) + 873) * (-8)", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -64, \"c\": 873, \"d\": -8}", "seed": "9397361150843068541", "semantic_fingerprint": "sha256:fc5eeb7e51c029ac32dabb8a4035c17eb09e5116980533579a19f5045ba34bf5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005132", "prompt": "What is -7 - 8 / (-6 * (-6))?", "solution_steps": ["Multiply: -6 * (-6) = 36", "Divide: 8 / 36 = 2/9", "Subtract: -7 - 2/9 = -65/9"], "final_answer": "-65/9", "answer_type": "rational", "kind": "expression", "math_text": "-7 - 8 / (-6 * (-6))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 8, \"c\": -6, \"d\": -6}", "seed": "18376211589547238778", "semantic_fingerprint": "sha256:11a0e391f05bf7fc234e8caa1a978b25be4d6b89735535dc38f44c4dcd09cc50", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005133", "prompt": "Compute: 283 * (-14) + (2 + 2) - (-296)", "solution_steps": ["Multiply: 283 * (-14) = -3962", "Add: 2 + 2 = 4", "Add: -3962 + 4 = -3958", "Subtract: -3958 - (-296) = -3662"], "final_answer": "-3662", "answer_type": "integer", "kind": "expression", "math_text": "283 * (-14) + (2 + 2) - (-296)", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 283, \"b\": -14, \"c\": 2, \"d\": 2, \"e\": -296}", "seed": "16669403531489182045", "semantic_fingerprint": "sha256:22cd4034afd356b5a48971b4e867f2f2036ab0b9545515717147c892d96c7564", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005134", "prompt": "What value of x satisfies 3(x + 61) - 52 = x - 86?", "solution_steps": ["Expand: 3x + 183 - 52 = x - 86", "Combine constants: 3x + 131 = x - 86", "Subtract x from both sides: 2x + 131 = -86", "Subtract 131 from both sides: 2x = -217", "Divide both sides by 2: x = -217/2"], "final_answer": "-217/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 61) - 52 = x - 86", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 61, \"c\": 52, \"d\": 86}", "seed": "12223568654065124182", "semantic_fingerprint": "sha256:7cfd240ad5bb47f662d2e7b06654e62c40171a9c1a0653ff87ee8873de323bfb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005135", "prompt": "What value of x satisfies 4(x - 23) - 292 = 7(x - 63)?", "solution_steps": ["Expand: 4x - 92 - 292 = 7(x - 63)", "Expand: 4x - 92 - 292 = 7x - 441", "Combine constants: 4x - 384 = 7x - 441", "Subtract 7x from both sides: -3x - 384 = -441", "Add 384 to both sides: -3x = -57", "Divide both sides by -3: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 23) - 292 = 7(x - 63)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 23, \"c\": 7, \"d\": 63, \"f\": -292, \"x\": 19}", "seed": "12667216620346061422", "semantic_fingerprint": "sha256:ef6965cb80e6d2c084444f74505496593a928e83abcdf29933b41c98303312fc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005136", "prompt": "Calculate: 0 - (2 - (-6 - 2))", "solution_steps": ["Subtract: -6 - 2 = -8", "Subtract: 2 - (-8) = 10", "Subtract: 0 - 10 = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "expression", "math_text": "0 - (2 - (-6 - 2))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 2, \"c\": -6, \"d\": 2}", "seed": "6101646428477965067", "semantic_fingerprint": "sha256:8e10ddda660a1b1b01d1aa37033453b1c598ed8016b0b24785ff4863d67345c3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005137", "prompt": "What is 8 + 274 * (-85) / (423 + (-210) - 981)?", "solution_steps": ["Multiply: 274 * (-85) = -23290", "Add: 423 + (-210) = 213", "Subtract: 213 - 981 = -768", "Divide: -23290 / (-768) = 11645/384", "Add: 8 + 11645/384 = 14717/384"], "final_answer": "14717/384", "answer_type": "rational", "kind": "expression", "math_text": "8 + 274 * (-85) / (423 + (-210) - 981)", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (* n n) (- (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 274, \"c\": -85, \"d\": 423, \"e\": -210, \"f\": 981}", "seed": "13650248479648269950", "semantic_fingerprint": "sha256:d7626e38aeefa91aec2fef825e9c35508a83f5cef2648596df8c046500b272ba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005138", "prompt": "What is -4 - (-28) / (-9 / 3)?", "solution_steps": ["Divide: -9 / 3 = -3", "Divide: -28 / (-3) = 28/3", "Subtract: -4 - 28/3 = -40/3"], "final_answer": "-40/3", "answer_type": "rational", "kind": "expression", "math_text": "-4 - (-28) / (-9 / 3)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -28, \"c\": -9, \"d\": 3}", "seed": "16056100724568152329", "semantic_fingerprint": "sha256:6ba4348d8d784542607f3100c748ff7ddf4dae9f2ca4b35b86a99ef72477d491", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005139", "prompt": "Solve for x: 7(x + 76) + 5 = -10(x + 161) - 4", "solution_steps": ["Expand: 7x + 532 + 5 = -10(x + 161) - 4", "Expand: 7x + 532 + 5 = -10x - 1610 - 4", "Combine constants: 7x + 537 = -10x - 1610 - 4", "Combine constants: 7x + 537 = -10x - 1614", "Add 10x to both sides: 17x + 537 = -1614", "Subtract 537 from both sides: 17x = -2151", "Divide both sides by 17: x = -2151/17"], "final_answer": "-2151/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 76) + 5 = -10(x + 161) - 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 76, \"c\": 5, \"d\": -10, \"e\": 161, \"f\": 4}", "seed": "4029058852287981492", "semantic_fingerprint": "sha256:187f5f7f40d5fc9587f3a98427ceb5d28a7449e8a67715ff23f43e064613fd5c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005140", "prompt": "Compute: (23 * (-231) + (-9)) / (89 / (-41)) / 48", "solution_steps": ["Multiply: 23 * (-231) = -5313", "Add: -5313 + (-9) = -5322", "Divide: 89 / (-41) = -89/41", "Divide: -5322 / (-89/41) = 218202/89", "Divide: (218202/89) / 48 = 36367/712"], "final_answer": "36367/712", "answer_type": "rational", "kind": "expression", "math_text": "(23 * (-231) + (-9)) / (89 / (-41)) / 48", "variable": null, "family": "expression_5op", "shape": "(/ (/ (+ (* n n) n) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -231, \"c\": -9, \"d\": 89, \"e\": -41, \"f\": 48}", "seed": "1294523565300128949", "semantic_fingerprint": "sha256:d62faac6fa41c1cfabb25202af4b172188bb442fdbbd96be78c23cf6693656d5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005141", "prompt": "Compute: -97 - 0 / (10 / (-984))", "solution_steps": ["Divide: 10 / (-984) = -5/492", "Divide: 0 / (-5/492) = 0", "Subtract: -97 - 0 = -97"], "final_answer": "-97", "answer_type": "integer", "kind": "expression", "math_text": "-97 - 0 / (10 / (-984))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": 0, \"c\": 10, \"d\": -984}", "seed": "2569770305254567459", "semantic_fingerprint": "sha256:58fa8209ac194bc8b08bd7e29e5c4ef39f18992e6210a9a3934e11f8229824c6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005142", "prompt": "Evaluate: 39 + (-545) - (2 + (-2) - (-234) - 9)", "solution_steps": ["Add: 39 + (-545) = -506", "Add: 2 + (-2) = 0", "Subtract: 0 - (-234) = 234", "Subtract: 234 - 9 = 225", "Subtract: -506 - 225 = -731"], "final_answer": "-731", "answer_type": "integer", "kind": "expression", "math_text": "39 + (-545) - (2 + (-2) - (-234) - 9)", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (- (- (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": -545, \"c\": 2, \"d\": -2, \"e\": -234, \"f\": 9}", "seed": "13476247809357939769", "semantic_fingerprint": "sha256:cb87e935d1b65f8aafca3124f49b46eadae031a57be5cf298027a3db62ff9997", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005143", "prompt": "Find x: -3(x + 67) + 1 = -6(x + 8) - 161", "solution_steps": ["Expand: -3x - 201 + 1 = -6(x + 8) - 161", "Expand: -3x - 201 + 1 = -6x - 48 - 161", "Combine constants: -3x - 200 = -6x - 48 - 161", "Combine constants: -3x - 200 = -6x - 209", "Add 6x to both sides: 3x - 200 = -209", "Add 200 to both sides: 3x = -9", "Divide both sides by 3: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 67) + 1 = -6(x + 8) - 161", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 67, \"c\": 1, \"d\": -6, \"e\": 8, \"g\": -161, \"x\": -3}", "seed": "14270212832944312900", "semantic_fingerprint": "sha256:743faff1b5c346d2ed4770efe6b7679465aa21ffeafbccfdf9f7b7c3d95c8559", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005144", "prompt": "Solve the equation -10(x - 21) + 124 = 5x + 4 for x.", "solution_steps": ["Expand: -10x + 210 + 124 = 5x + 4", "Combine constants: -10x + 334 = 5x + 4", "Subtract 5x from both sides: -15x + 334 = 4", "Subtract 334 from both sides: -15x = -330", "Divide both sides by -15: x = 22"], "final_answer": "22", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 21) + 124 = 5x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 21, \"c\": 124, \"d\": 5, \"e\": 4}", "seed": "2952346297417723007", "semantic_fingerprint": "sha256:0cefcd7d1b855dd2f62efb566a30a5db719fbc61248a7a6393895e475deffe9a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005145", "prompt": "Compute: 44 / (-847) - (-5 * 5 + (-8))", "solution_steps": ["Divide: 44 / (-847) = -4/77", "Multiply: -5 * 5 = -25", "Add: -25 + (-8) = -33", "Subtract: -4/77 - (-33) = 2537/77"], "final_answer": "2537/77", "answer_type": "rational", "kind": "expression", "math_text": "44 / (-847) - (-5 * 5 + (-8))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": -847, \"c\": -5, \"d\": 5, \"e\": -8}", "seed": "8851811245774597084", "semantic_fingerprint": "sha256:1648dff8a5b6fe157ce025b79ca0955a509e72f4ad5f6617b25748c472aef15c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005146", "prompt": "What is 0 + (-9 + 1) - 551?", "solution_steps": ["Add: -9 + 1 = -8", "Add: 0 + (-8) = -8", "Subtract: -8 - 551 = -559"], "final_answer": "-559", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-9 + 1) - 551", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -9, \"c\": 1, \"d\": 551}", "seed": "7620039034230579782", "semantic_fingerprint": "sha256:f54229aa5ff4985118d76385e08d13258ab2764f4dda62dd059f8de36ec7b58a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005147", "prompt": "What is 7 + (-2) - (7 + (-142))?", "solution_steps": ["Add: 7 + (-2) = 5", "Add: 7 + (-142) = -135", "Subtract: 5 - (-135) = 140"], "final_answer": "140", "answer_type": "integer", "kind": "expression", "math_text": "7 + (-2) - (7 + (-142))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -2, \"c\": 7, \"d\": -142}", "seed": "4084333744446682444", "semantic_fingerprint": "sha256:7e4f81639698acda7e4367dd7f924a2bd398d3f3893b70f0319f4220a70901c3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005148", "prompt": "Evaluate: -83 - (-828 + (-523 - (-153)))", "solution_steps": ["Subtract: -523 - (-153) = -370", "Add: -828 + (-370) = -1198", "Subtract: -83 - (-1198) = 1115"], "final_answer": "1115", "answer_type": "integer", "kind": "expression", "math_text": "-83 - (-828 + (-523 - (-153)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": -828, \"c\": -523, \"d\": -153}", "seed": "13163950400514264087", "semantic_fingerprint": "sha256:bd1ada493d64b17497b6844a924d09493bffca23610fcd60da5e97303937bd5f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005149", "prompt": "Calculate: -952 * (-1 - (-14) + 42 + 8)", "solution_steps": ["Subtract: -1 - (-14) = 13", "Add: 13 + 42 = 55", "Add: 55 + 8 = 63", "Multiply: -952 * 63 = -59976"], "final_answer": "-59976", "answer_type": "integer", "kind": "expression", "math_text": "-952 * (-1 - (-14) + 42 + 8)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (+ (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -952, \"b\": -1, \"c\": -14, \"d\": 42, \"e\": 8}", "seed": "15342133712342709295", "semantic_fingerprint": "sha256:21948162778ab0ff308ceee2fcecdfaf51b74fb1ed2800bce17d1278e0230428", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005150", "prompt": "What value of x satisfies 10(x - 9) = 7x - 144?", "solution_steps": ["Expand: 10x - 90 = 7x - 144", "Subtract 7x from both sides: 3x - 90 = -144", "Add 90 to both sides: 3x = -54", "Divide both sides by 3: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 9) = 7x - 144", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": 7, \"e\": -144, \"x\": -18}", "seed": "2088451537035699252", "semantic_fingerprint": "sha256:24dd7aa98452db04067ff4d47d21e8578f7cab4fd87ca45af4548dc8690d1eaa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005151", "prompt": "Compute: 3 - (882 * (-32) + (-61))", "solution_steps": ["Multiply: 882 * (-32) = -28224", "Add: -28224 + (-61) = -28285", "Subtract: 3 - (-28285) = 28288"], "final_answer": "28288", "answer_type": "integer", "kind": "expression", "math_text": "3 - (882 * (-32) + (-61))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 882, \"c\": -32, \"d\": -61}", "seed": "6341888780523007170", "semantic_fingerprint": "sha256:3949a8a07bafd0e8ad86a85952aaeb98e1fac886c5c15a1e523518cb7f79aba0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005152", "prompt": "What is 51 * (-31 - (16 - (-188) / (-172)))?", "solution_steps": ["Divide: -188 / (-172) = 47/43", "Subtract: 16 - 47/43 = 641/43", "Subtract: -31 - 641/43 = -1974/43", "Multiply: 51 * (-1974/43) = -100674/43"], "final_answer": "-100674/43", "answer_type": "rational", "kind": "expression", "math_text": "51 * (-31 - (16 - (-188) / (-172)))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (- n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -31, \"c\": 16, \"d\": -188, \"e\": -172}", "seed": "15429069219577639343", "semantic_fingerprint": "sha256:ada733f23a705beb0fb2cbbb09fbdebe9a08b6a359e6cd6199341ff28b657f0d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005153", "prompt": "Evaluate: (-522 + (-40) + (-34)) * 3", "solution_steps": ["Add: -522 + (-40) = -562", "Add: -562 + (-34) = -596", "Multiply: -596 * 3 = -1788"], "final_answer": "-1788", "answer_type": "integer", "kind": "expression", "math_text": "(-522 + (-40) + (-34)) * 3", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -522, \"b\": -40, \"c\": -34, \"d\": 3}", "seed": "14711598373733626766", "semantic_fingerprint": "sha256:13bfe4230acd996f2b0874fb5fe511c84bd0c55ce7219f88e2b2919ea2228fdc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005154", "prompt": "Solve the equation 5(x - 58) + 995 = 3x + 739 for x.", "solution_steps": ["Expand: 5x - 290 + 995 = 3x + 739", "Combine constants: 5x + 705 = 3x + 739", "Subtract 3x from both sides: 2x + 705 = 739", "Subtract 705 from both sides: 2x = 34", "Divide both sides by 2: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 58) + 995 = 3x + 739", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 58, \"c\": 995, \"d\": 3, \"f\": 739, \"x\": 17}", "seed": "8262545960933265539", "semantic_fingerprint": "sha256:e2b0e9d71d5f99fd9224fa2ecb9fc73642e0025e527892531b12efe0e7fbfb20", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005155", "prompt": "Find x: -2(x - 45) - 364 = 3(x - 93)", "solution_steps": ["Expand: -2x + 90 - 364 = 3(x - 93)", "Expand: -2x + 90 - 364 = 3x - 279", "Combine constants: -2x - 274 = 3x - 279", "Subtract 3x from both sides: -5x - 274 = -279", "Add 274 to both sides: -5x = -5", "Divide both sides by -5: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 45) - 364 = 3(x - 93)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 45, \"c\": 3, \"d\": 93, \"f\": -364, \"x\": 1}", "seed": "1085280220346974469", "semantic_fingerprint": "sha256:e2d2881819cdff6c5276d8c4f6ff5e73f844ea1607b20012831bf85f59772882", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005156", "prompt": "Evaluate: (4 - 130) * (-8 * 7)", "solution_steps": ["Subtract: 4 - 130 = -126", "Multiply: -8 * 7 = -56", "Multiply: -126 * (-56) = 7056"], "final_answer": "7056", "answer_type": "integer", "kind": "expression", "math_text": "(4 - 130) * (-8 * 7)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 130, \"c\": -8, \"d\": 7}", "seed": "10865119069124670092", "semantic_fingerprint": "sha256:09173b7aa48677a11fe9f0b77362723e06dd5840cba5a493057b3a5120003a99", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005157", "prompt": "Calculate: 6 / (816 / (91 * 25))", "solution_steps": ["Multiply: 91 * 25 = 2275", "Divide: 816 / 2275 = 816/2275", "Divide: 6 / (816/2275) = 2275/136"], "final_answer": "2275/136", "answer_type": "rational", "kind": "expression", "math_text": "6 / (816 / (91 * 25))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 816, \"c\": 91, \"d\": 25}", "seed": "2615098329297961919", "semantic_fingerprint": "sha256:a2fe8e9fe0e1b8e157afcc52d3f62df50dad03af04002d2dbbf29abf4b46e748", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005158", "prompt": "Compute: 63 - (-372 + 15 + 50) + (-7)", "solution_steps": ["Add: -372 + 15 = -357", "Add: -357 + 50 = -307", "Subtract: 63 - (-307) = 370", "Add: 370 + (-7) = 363"], "final_answer": "363", "answer_type": "integer", "kind": "expression", "math_text": "63 - (-372 + 15 + 50) + (-7)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -372, \"c\": 15, \"d\": 50, \"e\": -7}", "seed": "10406803705167528749", "semantic_fingerprint": "sha256:a001055bdd2927cc3885a6b231d1b1c21c170f0cd3cbb2641d04f068e65e6b8d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005159", "prompt": "Calculate: (-13 + 1 + 238) * (-364)", "solution_steps": ["Add: -13 + 1 = -12", "Add: -12 + 238 = 226", "Multiply: 226 * (-364) = -82264"], "final_answer": "-82264", "answer_type": "integer", "kind": "expression", "math_text": "(-13 + 1 + 238) * (-364)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 1, \"c\": 238, \"d\": -364}", "seed": "12211476207905041466", "semantic_fingerprint": "sha256:98af887bb6a56501798519512d8f1bdff8c7d79642be8d9a1739c1c27387b84d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005160", "prompt": "What is -5 / (-1 * (-1) * 4) - (8 - (-997))?", "solution_steps": ["Multiply: -1 * (-1) = 1", "Multiply: 1 * 4 = 4", "Divide: -5 / 4 = -5/4", "Subtract: 8 - (-997) = 1005", "Subtract: -5/4 - 1005 = -4025/4"], "final_answer": "-4025/4", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-1 * (-1) * 4) - (8 - (-997))", "variable": null, "family": "expression_5op", "shape": "(- (/ n (* (* n n) n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -1, \"c\": -1, \"d\": 4, \"e\": 8, \"f\": -997}", "seed": "9640344163733089625", "semantic_fingerprint": "sha256:663248802034f5f9041b91a1ab5b4de2e7dea44a81bb7ec17f1771be6325ac72", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005161", "prompt": "What is 6 - (-7 - (3 - 8))?", "solution_steps": ["Subtract: 3 - 8 = -5", "Subtract: -7 - (-5) = -2", "Subtract: 6 - (-2) = 8"], "final_answer": "8", "answer_type": "integer", "kind": "expression", "math_text": "6 - (-7 - (3 - 8))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -7, \"c\": 3, \"d\": 8}", "seed": "1967785144650574863", "semantic_fingerprint": "sha256:4846787f9465043c3767010821ccf735de0141d0e2d83cced6a6232a678f0498", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005162", "prompt": "Calculate: 35 + (-4) - (84 + (-6) * 27)", "solution_steps": ["Add: 35 + (-4) = 31", "Multiply: -6 * 27 = -162", "Add: 84 + (-162) = -78", "Subtract: 31 - (-78) = 109"], "final_answer": "109", "answer_type": "integer", "kind": "expression", "math_text": "35 + (-4) - (84 + (-6) * 27)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -4, \"c\": 84, \"d\": -6, \"e\": 27}", "seed": "13995828018551482952", "semantic_fingerprint": "sha256:77b13984fd8cb2d1400ffd73c687a3876d9927d46c7f5e007d28d04c4da49d4f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005163", "prompt": "What is (-38 + 377) / (-648 + (5 - 77))?", "solution_steps": ["Add: -38 + 377 = 339", "Subtract: 5 - 77 = -72", "Add: -648 + (-72) = -720", "Divide: 339 / (-720) = -113/240"], "final_answer": "-113/240", "answer_type": "rational", "kind": "expression", "math_text": "(-38 + 377) / (-648 + (5 - 77))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": 377, \"c\": -648, \"d\": 5, \"e\": 77}", "seed": "6085001994544166438", "semantic_fingerprint": "sha256:0ec4e096faf889a0471436c0bb5f7ba8419568051e5894ed8127ad17b231ddb6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005164", "prompt": "Solve for x: -9(x + 5) - 99 = x - 44", "solution_steps": ["Expand: -9x - 45 - 99 = x - 44", "Combine constants: -9x - 144 = x - 44", "Subtract x from both sides: -10x - 144 = -44", "Add 144 to both sides: -10x = 100", "Divide both sides by -10: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 5) - 99 = x - 44", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"c\": 99, \"e\": -44, \"x\": -10}", "seed": "11441077508416156902", "semantic_fingerprint": "sha256:d600867dbc33918f5bb0edc7489e5beabda6a273cb785e4033615010a507db06", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005165", "prompt": "Calculate: (-878 + 57) / (-92 / 613)", "solution_steps": ["Add: -878 + 57 = -821", "Divide: -92 / 613 = -92/613", "Divide: -821 / (-92/613) = 503273/92"], "final_answer": "503273/92", "answer_type": "rational", "kind": "expression", "math_text": "(-878 + 57) / (-92 / 613)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -878, \"b\": 57, \"c\": -92, \"d\": 613}", "seed": "17356619085327082529", "semantic_fingerprint": "sha256:aa6c7658d2ef277299b2351225b0a040d8581928e71984eeeebd17a89a00496c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005166", "prompt": "Evaluate: 0 * 5 * 28 - (-27 - 942)", "solution_steps": ["Multiply: 0 * 5 = 0", "Multiply: 0 * 28 = 0", "Subtract: -27 - 942 = -969", "Subtract: 0 - (-969) = 969"], "final_answer": "969", "answer_type": "integer", "kind": "expression", "math_text": "0 * 5 * 28 - (-27 - 942)", "variable": null, "family": "expression_4op", "shape": "(- (* (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 5, \"c\": 28, \"d\": -27, \"e\": 942}", "seed": "11877132959433915479", "semantic_fingerprint": "sha256:e602c64c3fa65673b0c4b39af30e1a4a712e9373d1307b2f946fb76daa956f02", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005167", "prompt": "Solve for x: 8(x - 23) = -7x - 47", "solution_steps": ["Expand: 8x - 184 = -7x - 47", "Add 7x to both sides: 15x - 184 = -47", "Add 184 to both sides: 15x = 137", "Divide both sides by 15: x = 137/15"], "final_answer": "137/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 23) = -7x - 47", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 23, \"c\": -7, \"d\": 47}", "seed": "169943167379515359", "semantic_fingerprint": "sha256:d8aa7fc41ee2c777bc726b0562dae4a36b4483052c657f6cac7506d5b2db0633", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005168", "prompt": "What is 901 + (-44) - (-7 - 1) + 9?", "solution_steps": ["Add: 901 + (-44) = 857", "Subtract: -7 - 1 = -8", "Subtract: 857 - (-8) = 865", "Add: 865 + 9 = 874"], "final_answer": "874", "answer_type": "integer", "kind": "expression", "math_text": "901 + (-44) - (-7 - 1) + 9", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 901, \"b\": -44, \"c\": -7, \"d\": 1, \"e\": 9}", "seed": "10670950519893798442", "semantic_fingerprint": "sha256:05bc7f31616207922227a6685a8ed96063968bc47b18aea0e55a8cc676028d2f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005169", "prompt": "Compute: -9 * ((-23 + (-758)) * (83 + 0))", "solution_steps": ["Add: -23 + (-758) = -781", "Add: 83 + 0 = 83", "Multiply: -781 * 83 = -64823", "Multiply: -9 * (-64823) = 583407"], "final_answer": "583407", "answer_type": "integer", "kind": "expression", "math_text": "-9 * ((-23 + (-758)) * (83 + 0))", "variable": null, "family": "expression_4op", "shape": "(* n (* (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -23, \"c\": -758, \"d\": 83, \"e\": 0}", "seed": "14053536758616272004", "semantic_fingerprint": "sha256:451137aafb062212a59134e52dee0217f28f6c11b436a61d1ee41da071d18778", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005170", "prompt": "Compute: 918 / (-72) - (-3) - 36", "solution_steps": ["Divide: 918 / (-72) = -51/4", "Subtract: -51/4 - (-3) = -39/4", "Subtract: -39/4 - 36 = -183/4"], "final_answer": "-183/4", "answer_type": "rational", "kind": "expression", "math_text": "918 / (-72) - (-3) - 36", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 918, \"b\": -72, \"c\": -3, \"d\": 36}", "seed": "963496731683342627", "semantic_fingerprint": "sha256:10976824251b3388ab28c49319998614ce348b453036880651387dcddbb9610a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005171", "prompt": "Compute: (-65 - (1 + 4)) * (-12 - 1 * (-994))", "solution_steps": ["Add: 1 + 4 = 5", "Subtract: -65 - 5 = -70", "Multiply: 1 * (-994) = -994", "Subtract: -12 - (-994) = 982", "Multiply: -70 * 982 = -68740"], "final_answer": "-68740", "answer_type": "integer", "kind": "expression", "math_text": "(-65 - (1 + 4)) * (-12 - 1 * (-994))", "variable": null, "family": "expression_5op", "shape": "(* (- n (+ n n)) (- n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": 1, \"c\": 4, \"d\": -12, \"e\": 1, \"f\": -994}", "seed": "402324189971101182", "semantic_fingerprint": "sha256:a095296c13064e986f6de5fdd318b09e3a9507db33a552049104cb57cb0041f7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005172", "prompt": "What value of x satisfies 3(x + 838) + 55 = -2(x + 4) - 63?", "solution_steps": ["Expand: 3x + 2514 + 55 = -2(x + 4) - 63", "Expand: 3x + 2514 + 55 = -2x - 8 - 63", "Combine constants: 3x + 2569 = -2x - 8 - 63", "Combine constants: 3x + 2569 = -2x - 71", "Add 2x to both sides: 5x + 2569 = -71", "Subtract 2569 from both sides: 5x = -2640", "Divide both sides by 5: x = -528"], "final_answer": "-528", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 838) + 55 = -2(x + 4) - 63", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 838, \"c\": 55, \"d\": -2, \"e\": 4, \"f\": 63}", "seed": "12011768732082115570", "semantic_fingerprint": "sha256:903a627d561ab03a18915bc535da70fc6aca365a6525f27e8ebe9b2338e79498", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005173", "prompt": "What value of x satisfies 11(x - 53) = 5x - 469?", "solution_steps": ["Expand: 11x - 583 = 5x - 469", "Subtract 5x from both sides: 6x - 583 = -469", "Add 583 to both sides: 6x = 114", "Divide both sides by 6: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 53) = 5x - 469", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 53, \"c\": 5, \"e\": -469, \"x\": 19}", "seed": "11231035064051958138", "semantic_fingerprint": "sha256:7b2e7c08c3d197d6dcf2df3a5f76c9ec8b1677fd506fc1e5f38d0bc7e91171c1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005174", "prompt": "Solve the equation 3(x - 4) + 19 = 5(x + 99) - 510 for x.", "solution_steps": ["Expand: 3x - 12 + 19 = 5(x + 99) - 510", "Expand: 3x - 12 + 19 = 5x + 495 - 510", "Combine constants: 3x + 7 = 5x + 495 - 510", "Combine constants: 3x + 7 = 5x - 15", "Subtract 5x from both sides: -2x + 7 = -15", "Subtract 7 from both sides: -2x = -22", "Divide both sides by -2: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 4) + 19 = 5(x + 99) - 510", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"c\": 19, \"d\": 5, \"e\": 99, \"g\": -510, \"x\": 11}", "seed": "9822833914949102984", "semantic_fingerprint": "sha256:b49b65d6cbc0a12e6bd55a8023c64a766dc9c4428c32125d6f11d8508ceb6f5c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005175", "prompt": "Solve for x: 10(x - 94) - 513 = 7(x - 214)", "solution_steps": ["Expand: 10x - 940 - 513 = 7(x - 214)", "Expand: 10x - 940 - 513 = 7x - 1498", "Combine constants: 10x - 1453 = 7x - 1498", "Subtract 7x from both sides: 3x - 1453 = -1498", "Add 1453 to both sides: 3x = -45", "Divide both sides by 3: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 94) - 513 = 7(x - 214)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 94, \"c\": 7, \"d\": 214, \"f\": -513, \"x\": -15}", "seed": "7897759017051732995", "semantic_fingerprint": "sha256:e16e1e97a570f57d8162a186ce56b272e129396ce5819409b53a8e9cffd7c659", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005176", "prompt": "Calculate: -33 - (-61 + (-3)) / (-74) * 9", "solution_steps": ["Add: -61 + (-3) = -64", "Divide: -64 / (-74) = 32/37", "Multiply: (32/37) * 9 = 288/37", "Subtract: -33 - 288/37 = -1509/37"], "final_answer": "-1509/37", "answer_type": "rational", "kind": "expression", "math_text": "-33 - (-61 + (-3)) / (-74) * 9", "variable": null, "family": "expression_4op", "shape": "(- n (* (/ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": -61, \"c\": -3, \"d\": -74, \"e\": 9}", "seed": "8696631421361140138", "semantic_fingerprint": "sha256:39c51d87bb86eca070d35a86e261e9635c7dda9e2c4a6fc5522edde63390db40", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005177", "prompt": "Solve for x: x - 35 = 3(x - 58) + 157", "solution_steps": ["Expand: x - 35 = 3x - 174 + 157", "Combine constants: x - 35 = 3x - 17", "Subtract 3x from both sides: -2x - 35 = -17", "Add 35 to both sides: -2x = 18", "Divide both sides by -2: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 35 = 3(x - 58) + 157", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 3, \"c\": 58, \"e\": 157, \"x\": -9}", "seed": "10899889826081875204", "semantic_fingerprint": "sha256:0cb048710e10ad8830fbcbd64294391a6214c107260d43d24c1303c5f3ad8ccb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005178", "prompt": "Evaluate: 55 / (-53) - 522 - 22", "solution_steps": ["Divide: 55 / (-53) = -55/53", "Subtract: -55/53 - 522 = -27721/53", "Subtract: -27721/53 - 22 = -28887/53"], "final_answer": "-28887/53", "answer_type": "rational", "kind": "expression", "math_text": "55 / (-53) - 522 - 22", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -53, \"c\": 522, \"d\": 22}", "seed": "6260105209088233356", "semantic_fingerprint": "sha256:84ea748c6fc8306a209e72257aa991d92e0f49abf518b58df7e201c8bce54456", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005179", "prompt": "What is -88 + (254 * (-6) - 4 + 853)?", "solution_steps": ["Multiply: 254 * (-6) = -1524", "Subtract: -1524 - 4 = -1528", "Add: -1528 + 853 = -675", "Add: -88 + (-675) = -763"], "final_answer": "-763", "answer_type": "integer", "kind": "expression", "math_text": "-88 + (254 * (-6) - 4 + 853)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (- (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": 254, \"c\": -6, \"d\": 4, \"e\": 853}", "seed": "4824425468903620305", "semantic_fingerprint": "sha256:f5f5f0fc3c687415b4ec99e06d4f66dd6c3c31bf36ee9d1c4d0f36683c3b224e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005180", "prompt": "Evaluate: 89 - (9 * 499 + (-42))", "solution_steps": ["Multiply: 9 * 499 = 4491", "Add: 4491 + (-42) = 4449", "Subtract: 89 - 4449 = -4360"], "final_answer": "-4360", "answer_type": "integer", "kind": "expression", "math_text": "89 - (9 * 499 + (-42))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": 9, \"c\": 499, \"d\": -42}", "seed": "775261478852140914", "semantic_fingerprint": "sha256:35c7d568f75786518a99594e28cdef0a9297407187411258af569fa50a0ca2cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005181", "prompt": "Solve the equation 7(x - 47) + 44 = 10(x + 5) - 3 for x.", "solution_steps": ["Expand: 7x - 329 + 44 = 10(x + 5) - 3", "Expand: 7x - 329 + 44 = 10x + 50 - 3", "Combine constants: 7x - 285 = 10x + 50 - 3", "Combine constants: 7x - 285 = 10x + 47", "Subtract 10x from both sides: -3x - 285 = 47", "Add 285 to both sides: -3x = 332", "Divide both sides by -3: x = -332/3"], "final_answer": "-332/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 47) + 44 = 10(x + 5) - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 47, \"c\": 44, \"d\": 10, \"e\": 5, \"f\": 3}", "seed": "12056842182855212208", "semantic_fingerprint": "sha256:10bf156d09b1ee2d0379ac1364a4096b279f51aeab0b5424d4f08aea95b21f3b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005182", "prompt": "Find x: 12(x + 43) + 95 = 11(x + 81) - 277", "solution_steps": ["Expand: 12x + 516 + 95 = 11(x + 81) - 277", "Expand: 12x + 516 + 95 = 11x + 891 - 277", "Combine constants: 12x + 611 = 11x + 891 - 277", "Combine constants: 12x + 611 = 11x + 614", "Subtract 11x from both sides: x + 611 = 614", "Subtract 611 from both sides: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 43) + 95 = 11(x + 81) - 277", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 43, \"c\": 95, \"d\": 11, \"e\": 81, \"g\": -277, \"x\": 3}", "seed": "5960944311782217115", "semantic_fingerprint": "sha256:480bb9f25a99eb4a7a7c4d659024b59c01670a1b91b6b168a796ce29f33399a8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005183", "prompt": "Evaluate: (92 - 5 - (665 + 57)) / (-800) + 96", "solution_steps": ["Subtract: 92 - 5 = 87", "Add: 665 + 57 = 722", "Subtract: 87 - 722 = -635", "Divide: -635 / (-800) = 127/160", "Add: 127/160 + 96 = 15487/160"], "final_answer": "15487/160", "answer_type": "rational", "kind": "expression", "math_text": "(92 - 5 - (665 + 57)) / (-800) + 96", "variable": null, "family": "expression_5op", "shape": "(+ (/ (- (- n n) (+ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 5, \"c\": 665, \"d\": 57, \"e\": -800, \"f\": 96}", "seed": "3870423808107686574", "semantic_fingerprint": "sha256:8f0a48d9d5265880a86d49f32d8ec4310f61d1bad77e010b9ce18ba474210f8e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005184", "prompt": "Evaluate: 343 - (1 + (-27)) / (-12 / (-282 / 490))", "solution_steps": ["Add: 1 + (-27) = -26", "Divide: -282 / 490 = -141/245", "Divide: -12 / (-141/245) = 980/47", "Divide: -26 / (980/47) = -611/490", "Subtract: 343 - (-611/490) = 168681/490"], "final_answer": "168681/490", "answer_type": "rational", "kind": "expression", "math_text": "343 - (1 + (-27)) / (-12 / (-282 / 490))", "variable": null, "family": "expression_5op", "shape": "(- n (/ (+ n n) (/ n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 343, \"b\": 1, \"c\": -27, \"d\": -12, \"e\": -282, \"f\": 490}", "seed": "4373880003127154011", "semantic_fingerprint": "sha256:ab0bff2a0ec01f43523697da3415c8025580e5fec958076f51fcc30cd9ac92f1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005185", "prompt": "What is 2 - (-55 + (-9) - (64 + 785 - (-329)))?", "solution_steps": ["Add: -55 + (-9) = -64", "Add: 64 + 785 = 849", "Subtract: 849 - (-329) = 1178", "Subtract: -64 - 1178 = -1242", "Subtract: 2 - (-1242) = 1244"], "final_answer": "1244", "answer_type": "integer", "kind": "expression", "math_text": "2 - (-55 + (-9) - (64 + 785 - (-329)))", "variable": null, "family": "expression_5op", "shape": "(- n (- (+ n n) (- (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -55, \"c\": -9, \"d\": 64, \"e\": 785, \"f\": -329}", "seed": "6184737629995779279", "semantic_fingerprint": "sha256:b83cf19e118476e13e905ec1f4032938a6ec8fac8a3481371ef6feb5fd3b6a42", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005186", "prompt": "Solve for x: 9(x - 47) + 8 = -3(x - 68)", "solution_steps": ["Expand: 9x - 423 + 8 = -3(x - 68)", "Expand: 9x - 423 + 8 = -3x + 204", "Combine constants: 9x - 415 = -3x + 204", "Add 3x to both sides: 12x - 415 = 204", "Add 415 to both sides: 12x = 619", "Divide both sides by 12: x = 619/12"], "final_answer": "619/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 47) + 8 = -3(x - 68)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 47, \"c\": 8, \"d\": -3, \"e\": 68}", "seed": "2669498415362160294", "semantic_fingerprint": "sha256:85029578bdde67ca04840d2332555af4c38ad8e026170723b69d0aadbea3d84f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005187", "prompt": "What value of x satisfies x - 39 = 11(x - 64) + 585?", "solution_steps": ["Expand: x - 39 = 11x - 704 + 585", "Combine constants: x - 39 = 11x - 119", "Subtract 11x from both sides: -10x - 39 = -119", "Add 39 to both sides: -10x = -80", "Divide both sides by -10: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 39 = 11(x - 64) + 585", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 11, \"c\": 64, \"e\": 585, \"x\": 8}", "seed": "3333784666671141743", "semantic_fingerprint": "sha256:810e38adc9c41d420d56234b1e22d51a87c3a80c6467ca6e4b2ad0c0778ef70a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005188", "prompt": "Solve the equation -8(x - 12) - 440 = 8(x - 39) for x.", "solution_steps": ["Expand: -8x + 96 - 440 = 8(x - 39)", "Expand: -8x + 96 - 440 = 8x - 312", "Combine constants: -8x - 344 = 8x - 312", "Subtract 8x from both sides: -16x - 344 = -312", "Add 344 to both sides: -16x = 32", "Divide both sides by -16: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 12) - 440 = 8(x - 39)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 12, \"c\": 8, \"d\": 39, \"f\": -440, \"x\": -2}", "seed": "16615445141367943677", "semantic_fingerprint": "sha256:c0539118ee916d337acf12b60829429bb31cefea2d8211929dd52836d220368a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005189", "prompt": "What is (-626 + (-15) + 1) / (87 / 5)?", "solution_steps": ["Add: -626 + (-15) = -641", "Add: -641 + 1 = -640", "Divide: 87 / 5 = 87/5", "Divide: -640 / (87/5) = -3200/87"], "final_answer": "-3200/87", "answer_type": "rational", "kind": "expression", "math_text": "(-626 + (-15) + 1) / (87 / 5)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -626, \"b\": -15, \"c\": 1, \"d\": 87, \"e\": 5}", "seed": "1271630739741824072", "semantic_fingerprint": "sha256:cc62ffaf9c241180c63cdd6bc1fa46675361a0747eedbef25710d9c5f93c1267", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005190", "prompt": "Evaluate: 95 + (-3 * (-16) - (-70))", "solution_steps": ["Multiply: -3 * (-16) = 48", "Subtract: 48 - (-70) = 118", "Add: 95 + 118 = 213"], "final_answer": "213", "answer_type": "integer", "kind": "expression", "math_text": "95 + (-3 * (-16) - (-70))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -3, \"c\": -16, \"d\": -70}", "seed": "9469325515933233459", "semantic_fingerprint": "sha256:d11efc15c522487c2ad8056281f8fa3cc60d065726a6dab4d9c1854116e13307", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005191", "prompt": "Evaluate: 46 * (-2) - (6 - (-78 + (-272)))", "solution_steps": ["Multiply: 46 * (-2) = -92", "Add: -78 + (-272) = -350", "Subtract: 6 - (-350) = 356", "Subtract: -92 - 356 = -448"], "final_answer": "-448", "answer_type": "integer", "kind": "expression", "math_text": "46 * (-2) - (6 - (-78 + (-272)))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -2, \"c\": 6, \"d\": -78, \"e\": -272}", "seed": "10185950103019070438", "semantic_fingerprint": "sha256:41d54334d70cc20d49496ae9a6cfd1d25b96b03a1813bdd7c15d3da81f19c8bb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005192", "prompt": "What is (-58 - 82) / (3 / (-43 + 40))?", "solution_steps": ["Subtract: -58 - 82 = -140", "Add: -43 + 40 = -3", "Divide: 3 / (-3) = -1", "Divide: -140 / (-1) = 140"], "final_answer": "140", "answer_type": "integer", "kind": "expression", "math_text": "(-58 - 82) / (3 / (-43 + 40))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": 82, \"c\": 3, \"d\": -43, \"e\": 40}", "seed": "12977466526151413506", "semantic_fingerprint": "sha256:9b52583ea0183c3bd945a3748b47b3ad5d7f8da65d3bbe3863022803f36a632b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005193", "prompt": "What is 83 * (-6 * 727) - (-34)?", "solution_steps": ["Multiply: -6 * 727 = -4362", "Multiply: 83 * (-4362) = -362046", "Subtract: -362046 - (-34) = -362012"], "final_answer": "-362012", "answer_type": "integer", "kind": "expression", "math_text": "83 * (-6 * 727) - (-34)", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": -6, \"c\": 727, \"d\": -34}", "seed": "13303392057816144518", "semantic_fingerprint": "sha256:7f7f9344d53b795fb1dffbdbcce6d4f9122eaa28bd4258c7009c8da9e475ac40", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005194", "prompt": "Solve for x: x - 7 = 4(x - 7) + 27", "solution_steps": ["Expand: x - 7 = 4x - 28 + 27", "Combine constants: x - 7 = 4x - 1", "Subtract 4x from both sides: -3x - 7 = -1", "Add 7 to both sides: -3x = 6", "Divide both sides by -3: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7 = 4(x - 7) + 27", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 7, \"e\": 27, \"x\": -2}", "seed": "15820627608249323886", "semantic_fingerprint": "sha256:e7127fb359e4472bba709ea3071068ecd059d3de9b84273fcd54b275c92e97a9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005195", "prompt": "Compute: 48 * (-5 / 7 * (-75)) - 164", "solution_steps": ["Divide: -5 / 7 = -5/7", "Multiply: (-5/7) * (-75) = 375/7", "Multiply: 48 * (375/7) = 18000/7", "Subtract: 18000/7 - 164 = 16852/7"], "final_answer": "16852/7", "answer_type": "rational", "kind": "expression", "math_text": "48 * (-5 / 7 * (-75)) - 164", "variable": null, "family": "expression_4op", "shape": "(- (* n (* (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": -5, \"c\": 7, \"d\": -75, \"e\": 164}", "seed": "4561724835066567213", "semantic_fingerprint": "sha256:dd8036c5192d4a84a5633526844663e0ffbfe999b26dd29aa061252ae3dea7dc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005196", "prompt": "Find x: -11(x - 47) - 181 = -2(x - 96)", "solution_steps": ["Expand: -11x + 517 - 181 = -2(x - 96)", "Expand: -11x + 517 - 181 = -2x + 192", "Combine constants: -11x + 336 = -2x + 192", "Add 2x to both sides: -9x + 336 = 192", "Subtract 336 from both sides: -9x = -144", "Divide both sides by -9: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 47) - 181 = -2(x - 96)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 47, \"c\": -2, \"d\": 96, \"f\": -181, \"x\": 16}", "seed": "2774446571771295824", "semantic_fingerprint": "sha256:6c192cad2e5f6549dd4ff8199d76db1d99733016dfe94029d5567bca22ff28de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005197", "prompt": "What value of x satisfies x - 15 = 12(x - 7) + 135?", "solution_steps": ["Expand: x - 15 = 12x - 84 + 135", "Combine constants: x - 15 = 12x + 51", "Subtract 12x from both sides: -11x - 15 = 51", "Add 15 to both sides: -11x = 66", "Divide both sides by -11: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 15 = 12(x - 7) + 135", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": 12, \"c\": 7, \"e\": 135, \"x\": -6}", "seed": "13334217700745588776", "semantic_fingerprint": "sha256:142e172a0fd10f0c1c67c1c77fd9d7902902a063794ad5bc0746703a49ef4d58", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005198", "prompt": "Find x: 2(x - 90) + 208 = -5(x - 7)", "solution_steps": ["Expand: 2x - 180 + 208 = -5(x - 7)", "Expand: 2x - 180 + 208 = -5x + 35", "Combine constants: 2x + 28 = -5x + 35", "Add 5x to both sides: 7x + 28 = 35", "Subtract 28 from both sides: 7x = 7", "Divide both sides by 7: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 90) + 208 = -5(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 90, \"c\": -5, \"d\": 7, \"f\": 208, \"x\": 1}", "seed": "12975256050109011474", "semantic_fingerprint": "sha256:17fdf67171fe4f004b4bcc320f5838980e46981b1923b6200c7a3b9f62afc38a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005199", "prompt": "Solve for x: 2(x - 47) + 178 = -12(x - 7)", "solution_steps": ["Expand: 2x - 94 + 178 = -12(x - 7)", "Expand: 2x - 94 + 178 = -12x + 84", "Combine constants: 2x + 84 = -12x + 84", "Add 12x to both sides: 14x + 84 = 84", "Subtract 84 from both sides: 14x = 0", "Divide both sides by 14: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 47) + 178 = -12(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 47, \"c\": -12, \"d\": 7, \"f\": 178, \"x\": 0}", "seed": "995863192262667263", "semantic_fingerprint": "sha256:b5bdb1f41b1380b8630914b6bc0f9f694a6b50789b737787b6937cb4f4a8e727", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005200", "prompt": "Evaluate: (-12 - 349) * (7 / 409)", "solution_steps": ["Subtract: -12 - 349 = -361", "Divide: 7 / 409 = 7/409", "Multiply: -361 * (7/409) = -2527/409"], "final_answer": "-2527/409", "answer_type": "rational", "kind": "expression", "math_text": "(-12 - 349) * (7 / 409)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 349, \"c\": 7, \"d\": 409}", "seed": "16655422981665496767", "semantic_fingerprint": "sha256:2b7d7ca87a50da5aabfa9c24e679962dcb610bcc3629564c563a4f674babb304", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005201", "prompt": "Solve for x: 7(x - 1) + 381 = 6(x - 2)", "solution_steps": ["Expand: 7x - 7 + 381 = 6(x - 2)", "Expand: 7x - 7 + 381 = 6x - 12", "Combine constants: 7x + 374 = 6x - 12", "Subtract 6x from both sides: x + 374 = -12", "Subtract 374 from both sides: x = -386"], "final_answer": "-386", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 1) + 381 = 6(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 1, \"c\": 381, \"d\": 6, \"e\": 2}", "seed": "15350601761823007906", "semantic_fingerprint": "sha256:341a0229037d3262b9b82894f422be1e002562326ea6b8d677e3d528b2a3401e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005202", "prompt": "Compute: 18 - (-95 * (-78) + (-75))", "solution_steps": ["Multiply: -95 * (-78) = 7410", "Add: 7410 + (-75) = 7335", "Subtract: 18 - 7335 = -7317"], "final_answer": "-7317", "answer_type": "integer", "kind": "expression", "math_text": "18 - (-95 * (-78) + (-75))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": -95, \"c\": -78, \"d\": -75}", "seed": "14618404453415420147", "semantic_fingerprint": "sha256:6667e0f17e0ae5b822e0865c37298c812d59aaf54b387a632f8502dafc42a802", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005203", "prompt": "Compute: (18 / (-3) + (-577)) * (-7)", "solution_steps": ["Divide: 18 / (-3) = -6", "Add: -6 + (-577) = -583", "Multiply: -583 * (-7) = 4081"], "final_answer": "4081", "answer_type": "integer", "kind": "expression", "math_text": "(18 / (-3) + (-577)) * (-7)", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": -3, \"c\": -577, \"d\": -7}", "seed": "14850839942871598019", "semantic_fingerprint": "sha256:f8eddbab266765c6595769a5d94b4df054ed64e320cb8b6c4d520de4101a56e4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005204", "prompt": "What value of x satisfies 9(x + 278) - 84 = x - 851?", "solution_steps": ["Expand: 9x + 2502 - 84 = x - 851", "Combine constants: 9x + 2418 = x - 851", "Subtract x from both sides: 8x + 2418 = -851", "Subtract 2418 from both sides: 8x = -3269", "Divide both sides by 8: x = -3269/8"], "final_answer": "-3269/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 278) - 84 = x - 851", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 278, \"c\": 84, \"d\": 851}", "seed": "7707657685918047700", "semantic_fingerprint": "sha256:b54dbcc5eddc78eb610cf98d1cffba05f9ae68f2bdfc4b24b2e8c4461a3f9f69", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005205", "prompt": "What is 9 * 4 + (-4 * 7 + 19)?", "solution_steps": ["Multiply: 9 * 4 = 36", "Multiply: -4 * 7 = -28", "Add: -28 + 19 = -9", "Add: 36 + (-9) = 27"], "final_answer": "27", "answer_type": "integer", "kind": "expression", "math_text": "9 * 4 + (-4 * 7 + 19)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": -4, \"d\": 7, \"e\": 19}", "seed": "7945812810012933735", "semantic_fingerprint": "sha256:9e34d563a14b6bd6a743f45f73fdbd77b28c9852c95ac2d23fa69d8571821169", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005206", "prompt": "Evaluate: (-9 - (-51)) * (957 * 23)", "solution_steps": ["Subtract: -9 - (-51) = 42", "Multiply: 957 * 23 = 22011", "Multiply: 42 * 22011 = 924462"], "final_answer": "924462", "answer_type": "integer", "kind": "expression", "math_text": "(-9 - (-51)) * (957 * 23)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -51, \"c\": 957, \"d\": 23}", "seed": "7645380840920337583", "semantic_fingerprint": "sha256:8707d8106418b4b6a61538d7aa5955b00e47c60a79f2c51ba8c97abce45a669b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005207", "prompt": "Calculate: (-292 + (-7 + (-623)) - (-935)) / 983", "solution_steps": ["Add: -7 + (-623) = -630", "Add: -292 + (-630) = -922", "Subtract: -922 - (-935) = 13", "Divide: 13 / 983 = 13/983"], "final_answer": "13/983", "answer_type": "rational", "kind": "expression", "math_text": "(-292 + (-7 + (-623)) - (-935)) / 983", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -292, \"b\": -7, \"c\": -623, \"d\": -935, \"e\": 983}", "seed": "10978888262540223648", "semantic_fingerprint": "sha256:b6ac317c154f69eaa924f3676ec4a63bd7443ad085d0bff3138c6c4feb42fce1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005208", "prompt": "Compute: 122 + (-8) - (-217) + 866", "solution_steps": ["Add: 122 + (-8) = 114", "Subtract: 114 - (-217) = 331", "Add: 331 + 866 = 1197"], "final_answer": "1197", "answer_type": "integer", "kind": "expression", "math_text": "122 + (-8) - (-217) + 866", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 122, \"b\": -8, \"c\": -217, \"d\": 866}", "seed": "9302175391554720323", "semantic_fingerprint": "sha256:9d95c09cf766f12c0456c01059e7ab350da6c1898dfed2cd01150d54a15c5458", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005209", "prompt": "Compute: -6 / 69 + 831 / 315", "solution_steps": ["Divide: -6 / 69 = -2/23", "Divide: 831 / 315 = 277/105", "Add: -2/23 + 277/105 = 6161/2415"], "final_answer": "6161/2415", "answer_type": "rational", "kind": "expression", "math_text": "-6 / 69 + 831 / 315", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 69, \"c\": 831, \"d\": 315}", "seed": "10683613995838263682", "semantic_fingerprint": "sha256:92e13559b4ad30f4953a8d267fa45e26e2391848a40d485aca758bb18869512b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005210", "prompt": "Evaluate: (-97 - (-919)) / (641 - (61 + (-8)) - (-641))", "solution_steps": ["Subtract: -97 - (-919) = 822", "Add: 61 + (-8) = 53", "Subtract: 641 - 53 = 588", "Subtract: 588 - (-641) = 1229", "Divide: 822 / 1229 = 822/1229"], "final_answer": "822/1229", "answer_type": "rational", "kind": "expression", "math_text": "(-97 - (-919)) / (641 - (61 + (-8)) - (-641))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (- (- n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": -919, \"c\": 641, \"d\": 61, \"e\": -8, \"f\": -641}", "seed": "13419968132697431444", "semantic_fingerprint": "sha256:9969830b85da544375f5a13a9f93e64bcbd30a4bb6d74a183794217a32f5dcfb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005211", "prompt": "Compute: (25 - 21) * (-23 * (-80)) / (66 / 53)", "solution_steps": ["Subtract: 25 - 21 = 4", "Multiply: -23 * (-80) = 1840", "Multiply: 4 * 1840 = 7360", "Divide: 66 / 53 = 66/53", "Divide: 7360 / (66/53) = 195040/33"], "final_answer": "195040/33", "answer_type": "rational", "kind": "expression", "math_text": "(25 - 21) * (-23 * (-80)) / (66 / 53)", "variable": null, "family": "expression_5op", "shape": "(/ (* (- n n) (* n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": 21, \"c\": -23, \"d\": -80, \"e\": 66, \"f\": 53}", "seed": "5868159792911904647", "semantic_fingerprint": "sha256:78af4290579d6bed1ff7a9116123f9c978a3803a12be5f86da1f534628ed7599", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005212", "prompt": "Calculate: 0 * (-313) * 5 / (-8 / 66)", "solution_steps": ["Multiply: 0 * (-313) = 0", "Multiply: 0 * 5 = 0", "Divide: -8 / 66 = -4/33", "Divide: 0 / (-4/33) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-313) * 5 / (-8 / 66)", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -313, \"c\": 5, \"d\": -8, \"e\": 66}", "seed": "17183648639495831391", "semantic_fingerprint": "sha256:edbf07cc5b74857a06054226ad62aad8a317a9de57d1588aab85ce43f8a3e673", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005213", "prompt": "Find x: -2x - 9 = 3(x + 83) + 313", "solution_steps": ["Expand: -2x - 9 = 3x + 249 + 313", "Combine constants: -2x - 9 = 3x + 562", "Subtract 3x from both sides: -5x - 9 = 562", "Add 9 to both sides: -5x = 571", "Divide both sides by -5: x = -571/5"], "final_answer": "-571/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2x - 9 = 3(x + 83) + 313", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 9, \"c\": 3, \"d\": 83, \"e\": 313}", "seed": "2031600476353123026", "semantic_fingerprint": "sha256:7702d318d39241bed0afe3ed9a983865168b29cc9d9f7fafda969bd1bb661be5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005214", "prompt": "Solve the equation 4(x - 6) - 79 = 10(x - 2) for x.", "solution_steps": ["Expand: 4x - 24 - 79 = 10(x - 2)", "Expand: 4x - 24 - 79 = 10x - 20", "Combine constants: 4x - 103 = 10x - 20", "Subtract 10x from both sides: -6x - 103 = -20", "Add 103 to both sides: -6x = 83", "Divide both sides by -6: x = -83/6"], "final_answer": "-83/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 6) - 79 = 10(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 79, \"d\": 10, \"e\": 2}", "seed": "6005434456230820988", "semantic_fingerprint": "sha256:a34dba11fe87361a4b95398f0436316f48e1d0153c6b1a6c138fd912815e33e1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005215", "prompt": "Compute: (-8 + (-442)) / (-981 / (199 - 168)) - 123", "solution_steps": ["Add: -8 + (-442) = -450", "Subtract: 199 - 168 = 31", "Divide: -981 / 31 = -981/31", "Divide: -450 / (-981/31) = 1550/109", "Subtract: 1550/109 - 123 = -11857/109"], "final_answer": "-11857/109", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + (-442)) / (-981 / (199 - 168)) - 123", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ n n) (/ n (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -442, \"c\": -981, \"d\": 199, \"e\": 168, \"f\": 123}", "seed": "8404971733475443947", "semantic_fingerprint": "sha256:a77b5f8b3cf3dfa68e7d52290c9c48c04caf58f08e3be257d952ad51e19608e2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005216", "prompt": "Calculate: 20 * 0 / (-95 * 91 - 822)", "solution_steps": ["Multiply: 20 * 0 = 0", "Multiply: -95 * 91 = -8645", "Subtract: -8645 - 822 = -9467", "Divide: 0 / (-9467) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "20 * 0 / (-95 * 91 - 822)", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (- (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": 0, \"c\": -95, \"d\": 91, \"e\": 822}", "seed": "10609612446717621842", "semantic_fingerprint": "sha256:46488d2f9f86c3bc0115db7bad6fef661e12a647b060f5c6796edb5eced59b5f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005217", "prompt": "Calculate: -1 + (-26) - (60 + 5)", "solution_steps": ["Add: -1 + (-26) = -27", "Add: 60 + 5 = 65", "Subtract: -27 - 65 = -92"], "final_answer": "-92", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (-26) - (60 + 5)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -26, \"c\": 60, \"d\": 5}", "seed": "17602263147034549280", "semantic_fingerprint": "sha256:e7ecc628b36f3de39967c2826b0179efb39fd84fae658f038d010c27a762eee5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005218", "prompt": "Solve the equation 12(x - 9) + 43 = 9x + 9 for x.", "solution_steps": ["Expand: 12x - 108 + 43 = 9x + 9", "Combine constants: 12x - 65 = 9x + 9", "Subtract 9x from both sides: 3x - 65 = 9", "Add 65 to both sides: 3x = 74", "Divide both sides by 3: x = 74/3"], "final_answer": "74/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 9) + 43 = 9x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"c\": 43, \"d\": 9, \"e\": 9}", "seed": "9704362356850508106", "semantic_fingerprint": "sha256:9902009cd4206ec413e9ccb32e6d542e1caa99c9745ec94b812fb602154c3216", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005219", "prompt": "Find x: 7(x - 5) - 4 = -4(x - 67) - 428", "solution_steps": ["Expand: 7x - 35 - 4 = -4(x - 67) - 428", "Expand: 7x - 35 - 4 = -4x + 268 - 428", "Combine constants: 7x - 39 = -4x + 268 - 428", "Combine constants: 7x - 39 = -4x - 160", "Add 4x to both sides: 11x - 39 = -160", "Add 39 to both sides: 11x = -121", "Divide both sides by 11: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 5) - 4 = -4(x - 67) - 428", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 4, \"d\": -4, \"e\": 67, \"g\": -428, \"x\": -11}", "seed": "3125625403986089698", "semantic_fingerprint": "sha256:24cdcb033d9a11197acf590523839ab6382015f20bf762e48e67428143e344c4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005220", "prompt": "Compute: -49 + 57 - (57 + 30)", "solution_steps": ["Add: -49 + 57 = 8", "Add: 57 + 30 = 87", "Subtract: 8 - 87 = -79"], "final_answer": "-79", "answer_type": "integer", "kind": "expression", "math_text": "-49 + 57 - (57 + 30)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": 57, \"c\": 57, \"d\": 30}", "seed": "220582873999751868", "semantic_fingerprint": "sha256:65fa205ca11059fa815d4deb616ff6cf6bbeefae9efb7f74bf5fe2fd868c59e7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005221", "prompt": "What value of x satisfies 12(x - 58) + 315 = -9(x - 2)?", "solution_steps": ["Expand: 12x - 696 + 315 = -9(x - 2)", "Expand: 12x - 696 + 315 = -9x + 18", "Combine constants: 12x - 381 = -9x + 18", "Add 9x to both sides: 21x - 381 = 18", "Add 381 to both sides: 21x = 399", "Divide both sides by 21: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 58) + 315 = -9(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 58, \"c\": -9, \"d\": 2, \"f\": 315, \"x\": 19}", "seed": "14354691672769439268", "semantic_fingerprint": "sha256:7d36f679a314d0db518ecd8958db7e7965c2972aa9d4b46c6be3b243ae6c4d4d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005222", "prompt": "What value of x satisfies 3(x - 95) + 614 = -12x + 164?", "solution_steps": ["Expand: 3x - 285 + 614 = -12x + 164", "Combine constants: 3x + 329 = -12x + 164", "Add 12x to both sides: 15x + 329 = 164", "Subtract 329 from both sides: 15x = -165", "Divide both sides by 15: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 95) + 614 = -12x + 164", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 95, \"c\": 614, \"d\": -12, \"f\": 164, \"x\": -11}", "seed": "14266629896972920008", "semantic_fingerprint": "sha256:999baae20e746b627eb61e8e5b3409ca823c357b53d28645867ae23be077e0c6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005223", "prompt": "Compute: 547 / ((-18 - (-6)) / (89 + 946) + 0)", "solution_steps": ["Subtract: -18 - (-6) = -12", "Add: 89 + 946 = 1035", "Divide: -12 / 1035 = -4/345", "Add: -4/345 + 0 = -4/345", "Divide: 547 / (-4/345) = -188715/4"], "final_answer": "-188715/4", "answer_type": "rational", "kind": "expression", "math_text": "547 / ((-18 - (-6)) / (89 + 946) + 0)", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (/ (- n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 547, \"b\": -18, \"c\": -6, \"d\": 89, \"e\": 946, \"f\": 0}", "seed": "3783569343973840253", "semantic_fingerprint": "sha256:23eb51f699ca179a5dd613820d5b055c06c6a34eeafe1d2906da7b4889705a37", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005224", "prompt": "Compute: -53 + 2 + 87 - 75 / 19", "solution_steps": ["Add: -53 + 2 = -51", "Add: -51 + 87 = 36", "Divide: 75 / 19 = 75/19", "Subtract: 36 - 75/19 = 609/19"], "final_answer": "609/19", "answer_type": "rational", "kind": "expression", "math_text": "-53 + 2 + 87 - 75 / 19", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": 2, \"c\": 87, \"d\": 75, \"e\": 19}", "seed": "7706985651700233874", "semantic_fingerprint": "sha256:f7d6eed392677032cbf0acf333a07df2bab47d59f3f28fa00227068213585a91", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005225", "prompt": "What is 68 - (-507 - (-76 - 8))?", "solution_steps": ["Subtract: -76 - 8 = -84", "Subtract: -507 - (-84) = -423", "Subtract: 68 - (-423) = 491"], "final_answer": "491", "answer_type": "integer", "kind": "expression", "math_text": "68 - (-507 - (-76 - 8))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": -507, \"c\": -76, \"d\": 8}", "seed": "2468224627563695212", "semantic_fingerprint": "sha256:014164557eb7e60aa0f8f1b2a37e74e78cbf9c06aeb7efa07841b651ae4e57dc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005226", "prompt": "Calculate: (-45 - 91) * (0 * 56)", "solution_steps": ["Subtract: -45 - 91 = -136", "Multiply: 0 * 56 = 0", "Multiply: -136 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-45 - 91) * (0 * 56)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": 91, \"c\": 0, \"d\": 56}", "seed": "9315962716437381331", "semantic_fingerprint": "sha256:e1a6aa60f034ffe045d2c96008089b5d7b2ad11182eeba4ae1dae052a67ed23f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005227", "prompt": "Calculate: 8 / (-36) / (-77 / 13) + (-165) / 5", "solution_steps": ["Divide: 8 / (-36) = -2/9", "Divide: -77 / 13 = -77/13", "Divide: (-2/9) / (-77/13) = 26/693", "Divide: -165 / 5 = -33", "Add: 26/693 + (-33) = -22843/693"], "final_answer": "-22843/693", "answer_type": "rational", "kind": "expression", "math_text": "8 / (-36) / (-77 / 13) + (-165) / 5", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ n n) (/ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -36, \"c\": -77, \"d\": 13, \"e\": -165, \"f\": 5}", "seed": "13321514429901145872", "semantic_fingerprint": "sha256:583fed394476acf50a47c7beee4e8aee543045fefdd90038dccd42409a082d37", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005228", "prompt": "Compute: 14 + 2 / (-426 - 47)", "solution_steps": ["Subtract: -426 - 47 = -473", "Divide: 2 / (-473) = -2/473", "Add: 14 + (-2/473) = 6620/473"], "final_answer": "6620/473", "answer_type": "rational", "kind": "expression", "math_text": "14 + 2 / (-426 - 47)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 2, \"c\": -426, \"d\": 47}", "seed": "16731461604111124215", "semantic_fingerprint": "sha256:9550112ba3a73566e28c76b80a29f67827a55bb8ab397315e0d69c1900e734e4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005229", "prompt": "Calculate: (-83 - 0) * (2 / 65)", "solution_steps": ["Subtract: -83 - 0 = -83", "Divide: 2 / 65 = 2/65", "Multiply: -83 * (2/65) = -166/65"], "final_answer": "-166/65", "answer_type": "rational", "kind": "expression", "math_text": "(-83 - 0) * (2 / 65)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": 0, \"c\": 2, \"d\": 65}", "seed": "13538899352695345868", "semantic_fingerprint": "sha256:0abda3cc8e1784aa335192a7106220ccd0fe486f38a0854e4590e7bf4cf4ad1a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005230", "prompt": "What is (-7 - 385) * (-723 / 355)?", "solution_steps": ["Subtract: -7 - 385 = -392", "Divide: -723 / 355 = -723/355", "Multiply: -392 * (-723/355) = 283416/355"], "final_answer": "283416/355", "answer_type": "rational", "kind": "expression", "math_text": "(-7 - 385) * (-723 / 355)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 385, \"c\": -723, \"d\": 355}", "seed": "8598068393467101455", "semantic_fingerprint": "sha256:73472ba1f6ad1cf2fcb8e4b1b549b550572443ea0323cf853fae7f2b6b55ac52", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005231", "prompt": "Compute: -3 * 355 - 58 - (-45) * 8", "solution_steps": ["Multiply: -3 * 355 = -1065", "Subtract: -1065 - 58 = -1123", "Multiply: -45 * 8 = -360", "Subtract: -1123 - (-360) = -763"], "final_answer": "-763", "answer_type": "integer", "kind": "expression", "math_text": "-3 * 355 - 58 - (-45) * 8", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 355, \"c\": 58, \"d\": -45, \"e\": 8}", "seed": "3877962433422706603", "semantic_fingerprint": "sha256:f1d2795d6345ecb5f1a2ba69ee2fd4bc12b1e71d8528b53c36d3f603c4e01f0d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005232", "prompt": "Calculate: 560 / 97 + 64 / (-49)", "solution_steps": ["Divide: 560 / 97 = 560/97", "Divide: 64 / (-49) = -64/49", "Add: 560/97 + (-64/49) = 21232/4753"], "final_answer": "21232/4753", "answer_type": "rational", "kind": "expression", "math_text": "560 / 97 + 64 / (-49)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 560, \"b\": 97, \"c\": 64, \"d\": -49}", "seed": "1445258694768120693", "semantic_fingerprint": "sha256:06bab961002a3b3e4199e101a18199b89fbc45b2fa33de5acbfc10036caae4a5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005233", "prompt": "Find x: 2(x + 4) - 594 = x - 591", "solution_steps": ["Expand: 2x + 8 - 594 = x - 591", "Combine constants: 2x - 586 = x - 591", "Subtract x from both sides: x - 586 = -591", "Add 586 to both sides: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 4) - 594 = x - 591", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": 594, \"e\": -591, \"x\": -5}", "seed": "8258376058650708539", "semantic_fingerprint": "sha256:d018e0b204af0877c6ee992fa3020bbe3c82c063ae2d90e5e15f4fdc69d9b238", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005234", "prompt": "Solve for x: -8(x - 1) - 3 = -7(x - 1) - 382", "solution_steps": ["Expand: -8x + 8 - 3 = -7(x - 1) - 382", "Expand: -8x + 8 - 3 = -7x + 7 - 382", "Combine constants: -8x + 5 = -7x + 7 - 382", "Combine constants: -8x + 5 = -7x - 375", "Add 7x to both sides: -x + 5 = -375", "Subtract 5 from both sides: -x = -380", "Divide both sides by -1: x = 380"], "final_answer": "380", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 1) - 3 = -7(x - 1) - 382", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 1, \"c\": 3, \"d\": -7, \"e\": 1, \"f\": 382}", "seed": "15883746976541965381", "semantic_fingerprint": "sha256:070b55a85606d1f3687d50862c491d5199d7927dc920ca78542df069d2e3292b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005235", "prompt": "Compute: 30 - (-9) / (55 * (-76))", "solution_steps": ["Multiply: 55 * (-76) = -4180", "Divide: -9 / (-4180) = 9/4180", "Subtract: 30 - 9/4180 = 125391/4180"], "final_answer": "125391/4180", "answer_type": "rational", "kind": "expression", "math_text": "30 - (-9) / (55 * (-76))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": -9, \"c\": 55, \"d\": -76}", "seed": "8396963495651282350", "semantic_fingerprint": "sha256:20093ecad30bee90638dca2533fccce65aad7de96724c47e31f1a4a89fdf6bcc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005236", "prompt": "What value of x satisfies x - 78 = 9(x - 129) + 8?", "solution_steps": ["Expand: x - 78 = 9x - 1161 + 8", "Combine constants: x - 78 = 9x - 1153", "Subtract 9x from both sides: -8x - 78 = -1153", "Add 78 to both sides: -8x = -1075", "Divide both sides by -8: x = 1075/8"], "final_answer": "1075/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 78 = 9(x - 129) + 8", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": 9, \"c\": 129, \"d\": 8}", "seed": "12925709173186858005", "semantic_fingerprint": "sha256:84ffb25e4e2663f7a032c2fbe529b389aecea62f0256da3a43d8ac51bc4b36cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005237", "prompt": "Evaluate: -491 * (-99) + (-2 * (-84) - (-3) + (-11))", "solution_steps": ["Multiply: -491 * (-99) = 48609", "Multiply: -2 * (-84) = 168", "Subtract: 168 - (-3) = 171", "Add: 171 + (-11) = 160", "Add: 48609 + 160 = 48769"], "final_answer": "48769", "answer_type": "integer", "kind": "expression", "math_text": "-491 * (-99) + (-2 * (-84) - (-3) + (-11))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (+ (- (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -491, \"b\": -99, \"c\": -2, \"d\": -84, \"e\": -3, \"f\": -11}", "seed": "16736331684106810136", "semantic_fingerprint": "sha256:83d21f072ab26833e036dfe745efc7b634d947f20d0d37bcd563ad88db90d737", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005238", "prompt": "What is 5 / (-66) / (-5 / (-7 * 11))?", "solution_steps": ["Divide: 5 / (-66) = -5/66", "Multiply: -7 * 11 = -77", "Divide: -5 / (-77) = 5/77", "Divide: (-5/66) / (5/77) = -7/6"], "final_answer": "-7/6", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-66) / (-5 / (-7 * 11))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -66, \"c\": -5, \"d\": -7, \"e\": 11}", "seed": "10705173270905831638", "semantic_fingerprint": "sha256:eb286acf0f97b742f946056110efc0454c197a39f4b2b1554c0a6594aa39ef87", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005239", "prompt": "What is 85 / (-2 * (-36 * 3 / 57))?", "solution_steps": ["Multiply: -36 * 3 = -108", "Divide: -108 / 57 = -36/19", "Multiply: -2 * (-36/19) = 72/19", "Divide: 85 / (72/19) = 1615/72"], "final_answer": "1615/72", "answer_type": "rational", "kind": "expression", "math_text": "85 / (-2 * (-36 * 3 / 57))", "variable": null, "family": "expression_4op", "shape": "(/ n (* n (/ (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": -2, \"c\": -36, \"d\": 3, \"e\": 57}", "seed": "8865183283373108290", "semantic_fingerprint": "sha256:d9735ea54ce0865fca02dba1d57cb3825cbf9f69e447a2928d756143996b0c7e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005240", "prompt": "What value of x satisfies 7(x - 83) + 863 = 8(x + 68) - 272?", "solution_steps": ["Expand: 7x - 581 + 863 = 8(x + 68) - 272", "Expand: 7x - 581 + 863 = 8x + 544 - 272", "Combine constants: 7x + 282 = 8x + 544 - 272", "Combine constants: 7x + 282 = 8x + 272", "Subtract 8x from both sides: -x + 282 = 272", "Subtract 282 from both sides: -x = -10", "Divide both sides by -1: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 83) + 863 = 8(x + 68) - 272", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 83, \"c\": 863, \"d\": 8, \"e\": 68, \"g\": -272, \"x\": 10}", "seed": "13512235604725274317", "semantic_fingerprint": "sha256:ec5b8fe99d21cff9596b7dc0e55800f5449002ff39521d80aa6c2b4dad667bb1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005241", "prompt": "Find x: 3(x - 682) = 10x - 5", "solution_steps": ["Expand: 3x - 2046 = 10x - 5", "Subtract 10x from both sides: -7x - 2046 = -5", "Add 2046 to both sides: -7x = 2041", "Divide both sides by -7: x = -2041/7"], "final_answer": "-2041/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 682) = 10x - 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 682, \"c\": 10, \"d\": 5}", "seed": "12404417674280065264", "semantic_fingerprint": "sha256:dcc16aa4812b824216b1b1d46b46d964e0d2b70b4e042f2bda682df560559a6c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005242", "prompt": "Solve for x: 10(x + 23) + 17 = 8(x + 49) - 133", "solution_steps": ["Expand: 10x + 230 + 17 = 8(x + 49) - 133", "Expand: 10x + 230 + 17 = 8x + 392 - 133", "Combine constants: 10x + 247 = 8x + 392 - 133", "Combine constants: 10x + 247 = 8x + 259", "Subtract 8x from both sides: 2x + 247 = 259", "Subtract 247 from both sides: 2x = 12", "Divide both sides by 2: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 23) + 17 = 8(x + 49) - 133", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 23, \"c\": 17, \"d\": 8, \"e\": 49, \"g\": -133, \"x\": 6}", "seed": "17548419290335991942", "semantic_fingerprint": "sha256:6ab12aee53fb8ba983ea2882e48894a7d4a9e8706ff21115a81f6b06a14497b8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005243", "prompt": "What is 110 + 0 / (-7 - (-24))?", "solution_steps": ["Subtract: -7 - (-24) = 17", "Divide: 0 / 17 = 0", "Add: 110 + 0 = 110"], "final_answer": "110", "answer_type": "integer", "kind": "expression", "math_text": "110 + 0 / (-7 - (-24))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 110, \"b\": 0, \"c\": -7, \"d\": -24}", "seed": "1845438765206513877", "semantic_fingerprint": "sha256:958947994faedddf7e3659c6a82dc8b21df9b07417640813d012ab7c6c7cba92", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005244", "prompt": "What is (-62 - (-6)) * (341 / (-2))?", "solution_steps": ["Subtract: -62 - (-6) = -56", "Divide: 341 / (-2) = -341/2", "Multiply: -56 * (-341/2) = 9548"], "final_answer": "9548", "answer_type": "integer", "kind": "expression", "math_text": "(-62 - (-6)) * (341 / (-2))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -6, \"c\": 341, \"d\": -2}", "seed": "14289410361714464887", "semantic_fingerprint": "sha256:e661ee60b1ccac3c96e51d1268528b5370389bfa858afd867283e1b0bd7b8e82", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005245", "prompt": "Compute: -41 / (-180 - (-54) + (-7))", "solution_steps": ["Subtract: -180 - (-54) = -126", "Add: -126 + (-7) = -133", "Divide: -41 / (-133) = 41/133"], "final_answer": "41/133", "answer_type": "rational", "kind": "expression", "math_text": "-41 / (-180 - (-54) + (-7))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": -180, \"c\": -54, \"d\": -7}", "seed": "8400875706390136987", "semantic_fingerprint": "sha256:d57217cd24774993c126b0586f99f815e112af235ce161a935d3f5a0b46ddbcb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005246", "prompt": "Solve the equation 9(x - 9) - 554 = 5(x - 9) - 6 for x.", "solution_steps": ["Expand: 9x - 81 - 554 = 5(x - 9) - 6", "Expand: 9x - 81 - 554 = 5x - 45 - 6", "Combine constants: 9x - 635 = 5x - 45 - 6", "Combine constants: 9x - 635 = 5x - 51", "Subtract 5x from both sides: 4x - 635 = -51", "Add 635 to both sides: 4x = 584", "Divide both sides by 4: x = 146"], "final_answer": "146", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 9) - 554 = 5(x - 9) - 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 554, \"d\": 5, \"e\": 9, \"f\": 6}", "seed": "9401705750595255853", "semantic_fingerprint": "sha256:7d03f97579ce8088f2143977e1dd445fb6a6132d0599230260328151156af2e5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005247", "prompt": "Evaluate: (110 + (-96)) / (-581 / 4)", "solution_steps": ["Add: 110 + (-96) = 14", "Divide: -581 / 4 = -581/4", "Divide: 14 / (-581/4) = -8/83"], "final_answer": "-8/83", "answer_type": "rational", "kind": "expression", "math_text": "(110 + (-96)) / (-581 / 4)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 110, \"b\": -96, \"c\": -581, \"d\": 4}", "seed": "406026605502738688", "semantic_fingerprint": "sha256:894b443d041314583220a9af89624943355a9a7362c0f1caad124ab9faa35183", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005248", "prompt": "Evaluate: (-4 + 40 + (-4) * (-825)) * 8", "solution_steps": ["Add: -4 + 40 = 36", "Multiply: -4 * (-825) = 3300", "Add: 36 + 3300 = 3336", "Multiply: 3336 * 8 = 26688"], "final_answer": "26688", "answer_type": "integer", "kind": "expression", "math_text": "(-4 + 40 + (-4) * (-825)) * 8", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 40, \"c\": -4, \"d\": -825, \"e\": 8}", "seed": "15598773157720203883", "semantic_fingerprint": "sha256:4dffef6024c17ea30f4b416deb972766b08327801bc72fad103415807a754e43", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005249", "prompt": "Solve for x: 9(x - 9) = -4x - 237", "solution_steps": ["Expand: 9x - 81 = -4x - 237", "Add 4x to both sides: 13x - 81 = -237", "Add 81 to both sides: 13x = -156", "Divide both sides by 13: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 9) = -4x - 237", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": -4, \"e\": -237, \"x\": -12}", "seed": "14473784397413295272", "semantic_fingerprint": "sha256:24bb7c794b1f823f3e36c44ba8d793b3ef6865b6531a14541467439a9bb6f5fa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005250", "prompt": "Evaluate: -7 * ((43 + (-9)) / (-63)) * (-87)", "solution_steps": ["Add: 43 + (-9) = 34", "Divide: 34 / (-63) = -34/63", "Multiply: -7 * (-34/63) = 34/9", "Multiply: (34/9) * (-87) = -986/3"], "final_answer": "-986/3", "answer_type": "rational", "kind": "expression", "math_text": "-7 * ((43 + (-9)) / (-63)) * (-87)", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 43, \"c\": -9, \"d\": -63, \"e\": -87}", "seed": "2799204367322451172", "semantic_fingerprint": "sha256:b27d894e69473430e75805f52ea5d7d7555f29c4f49ed713618c31c761d81d60", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005251", "prompt": "Compute: (-54 - (-13)) * (-64 / 1)", "solution_steps": ["Subtract: -54 - (-13) = -41", "Divide: -64 / 1 = -64", "Multiply: -41 * (-64) = 2624"], "final_answer": "2624", "answer_type": "integer", "kind": "expression", "math_text": "(-54 - (-13)) * (-64 / 1)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": -13, \"c\": -64, \"d\": 1}", "seed": "14911570690759524674", "semantic_fingerprint": "sha256:fff00166f890b20245e1471d0bb2b3f2e44913cee8ec04bd82a4d3e77c29b740", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005252", "prompt": "Find x: -3(x - 4) + 30 = -7(x - 6)", "solution_steps": ["Expand: -3x + 12 + 30 = -7(x - 6)", "Expand: -3x + 12 + 30 = -7x + 42", "Combine constants: -3x + 42 = -7x + 42", "Add 7x to both sides: 4x + 42 = 42", "Subtract 42 from both sides: 4x = 0", "Divide both sides by 4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 4) + 30 = -7(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 4, \"c\": 30, \"d\": -7, \"e\": 6}", "seed": "13931735881456427881", "semantic_fingerprint": "sha256:f7d486972c15ae2f085fa3fcb2f967ea3e4dfe4cf7ca449ae96aea0e19559310", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005253", "prompt": "Calculate: -53 / 5 - 36 - 774", "solution_steps": ["Divide: -53 / 5 = -53/5", "Subtract: -53/5 - 36 = -233/5", "Subtract: -233/5 - 774 = -4103/5"], "final_answer": "-4103/5", "answer_type": "rational", "kind": "expression", "math_text": "-53 / 5 - 36 - 774", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": 5, \"c\": 36, \"d\": 774}", "seed": "9388286236871505376", "semantic_fingerprint": "sha256:8d05c7a636e8346b52a777d79cfd21d56da147f54c38c83525aca19ef53f48b5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005254", "prompt": "Calculate: 25 * (6 / (96 + 4 / (-4) / (-97)))", "solution_steps": ["Divide: 4 / (-4) = -1", "Divide: -1 / (-97) = 1/97", "Add: 96 + 1/97 = 9313/97", "Divide: 6 / (9313/97) = 582/9313", "Multiply: 25 * (582/9313) = 14550/9313"], "final_answer": "14550/9313", "answer_type": "rational", "kind": "expression", "math_text": "25 * (6 / (96 + 4 / (-4) / (-97)))", "variable": null, "family": "expression_5op", "shape": "(* n (/ n (+ n (/ (/ n n) n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": 6, \"c\": 96, \"d\": 4, \"e\": -4, \"f\": -97}", "seed": "758327450130834046", "semantic_fingerprint": "sha256:b88f4804399aa9ed7af0b82f7749792a6665ec4301314fbbb83c84acb26053a1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005255", "prompt": "Solve for x: -5(x - 3) - 9 = 6(x - 2) - 136", "solution_steps": ["Expand: -5x + 15 - 9 = 6(x - 2) - 136", "Expand: -5x + 15 - 9 = 6x - 12 - 136", "Combine constants: -5x + 6 = 6x - 12 - 136", "Combine constants: -5x + 6 = 6x - 148", "Subtract 6x from both sides: -11x + 6 = -148", "Subtract 6 from both sides: -11x = -154", "Divide both sides by -11: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 3) - 9 = 6(x - 2) - 136", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 3, \"c\": 9, \"d\": 6, \"e\": 2, \"g\": -136, \"x\": 14}", "seed": "12784010707187749466", "semantic_fingerprint": "sha256:0a171b3df202a17ad4c1b5fc082950212f758ecb5deb2c74650d54c0a474b4df", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005256", "prompt": "Solve for x: -2(x + 8) + 47 = 8(x + 5) - 2", "solution_steps": ["Expand: -2x - 16 + 47 = 8(x + 5) - 2", "Expand: -2x - 16 + 47 = 8x + 40 - 2", "Combine constants: -2x + 31 = 8x + 40 - 2", "Combine constants: -2x + 31 = 8x + 38", "Subtract 8x from both sides: -10x + 31 = 38", "Subtract 31 from both sides: -10x = 7", "Divide both sides by -10: x = -7/10"], "final_answer": "-7/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x + 8) + 47 = 8(x + 5) - 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 8, \"c\": 47, \"d\": 8, \"e\": 5, \"f\": 2}", "seed": "15868651232212749913", "semantic_fingerprint": "sha256:36769f26eed6d0edbe7407ec3ac1b82d66a7191f6143ffa21ae83d6ca703f06a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005257", "prompt": "What is -302 * (-9) - 0 - (2 - (0 + 69))?", "solution_steps": ["Multiply: -302 * (-9) = 2718", "Subtract: 2718 - 0 = 2718", "Add: 0 + 69 = 69", "Subtract: 2 - 69 = -67", "Subtract: 2718 - (-67) = 2785"], "final_answer": "2785", "answer_type": "integer", "kind": "expression", "math_text": "-302 * (-9) - 0 - (2 - (0 + 69))", "variable": null, "family": "expression_5op", "shape": "(- (- (* n n) n) (- n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -302, \"b\": -9, \"c\": 0, \"d\": 2, \"e\": 0, \"f\": 69}", "seed": "4461796759062895745", "semantic_fingerprint": "sha256:0237aeb8d20f3502ec3ef55d25471f080dfbd5389c50d2d7cb56ac43c386b74e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005258", "prompt": "Solve for x: 4(x - 53) + 29 = 6(x + 97) - 733", "solution_steps": ["Expand: 4x - 212 + 29 = 6(x + 97) - 733", "Expand: 4x - 212 + 29 = 6x + 582 - 733", "Combine constants: 4x - 183 = 6x + 582 - 733", "Combine constants: 4x - 183 = 6x - 151", "Subtract 6x from both sides: -2x - 183 = -151", "Add 183 to both sides: -2x = 32", "Divide both sides by -2: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 53) + 29 = 6(x + 97) - 733", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 53, \"c\": 29, \"d\": 6, \"e\": 97, \"g\": -733, \"x\": -16}", "seed": "17217449119024204226", "semantic_fingerprint": "sha256:76edb43f0631c749890e1fdf5c70c5ee9087c4f09df22cf1c80688689a525e19", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005259", "prompt": "What is (0 * 831 + 61) * (-88)?", "solution_steps": ["Multiply: 0 * 831 = 0", "Add: 0 + 61 = 61", "Multiply: 61 * (-88) = -5368"], "final_answer": "-5368", "answer_type": "integer", "kind": "expression", "math_text": "(0 * 831 + 61) * (-88)", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 831, \"c\": 61, \"d\": -88}", "seed": "11232173364481830931", "semantic_fingerprint": "sha256:bdb88fc6506d7ce508093819ac82d2dd4c451b9e78106698e2b2cf2dcd6bb570", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005260", "prompt": "What value of x satisfies 10(x - 3) - 511 = 9(x - 851)?", "solution_steps": ["Expand: 10x - 30 - 511 = 9(x - 851)", "Expand: 10x - 30 - 511 = 9x - 7659", "Combine constants: 10x - 541 = 9x - 7659", "Subtract 9x from both sides: x - 541 = -7659", "Add 541 to both sides: x = -7118"], "final_answer": "-7118", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 3) - 511 = 9(x - 851)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"c\": 511, \"d\": 9, \"e\": 851}", "seed": "3546531049842983080", "semantic_fingerprint": "sha256:e2ddf0c64f4837a87c6c361dd629a72ebb69a84ee2620a955deb944e9ccfe7bb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005261", "prompt": "Evaluate: -9 / (-7 - (-382) - (-3))", "solution_steps": ["Subtract: -7 - (-382) = 375", "Subtract: 375 - (-3) = 378", "Divide: -9 / 378 = -1/42"], "final_answer": "-1/42", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-7 - (-382) - (-3))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -7, \"c\": -382, \"d\": -3}", "seed": "12031577583574650818", "semantic_fingerprint": "sha256:2257cf73b1d1827856f93b6d8a6a0eda7a52b0691c642237538cea058293a9da", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005262", "prompt": "What is -390 - (-24 - (-85) - (2 - (694 - 9)))?", "solution_steps": ["Subtract: -24 - (-85) = 61", "Subtract: 694 - 9 = 685", "Subtract: 2 - 685 = -683", "Subtract: 61 - (-683) = 744", "Subtract: -390 - 744 = -1134"], "final_answer": "-1134", "answer_type": "integer", "kind": "expression", "math_text": "-390 - (-24 - (-85) - (2 - (694 - 9)))", "variable": null, "family": "expression_5op", "shape": "(- n (- (- n n) (- n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -390, \"b\": -24, \"c\": -85, \"d\": 2, \"e\": 694, \"f\": 9}", "seed": "11207481197013666857", "semantic_fingerprint": "sha256:a5a3a5bde448473581385b321811351f3d462657f0a7c706e0b319c36d7c4aa4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005263", "prompt": "Solve the equation 6(x - 6) + 8 = 10(x - 81) for x.", "solution_steps": ["Expand: 6x - 36 + 8 = 10(x - 81)", "Expand: 6x - 36 + 8 = 10x - 810", "Combine constants: 6x - 28 = 10x - 810", "Subtract 10x from both sides: -4x - 28 = -810", "Add 28 to both sides: -4x = -782", "Divide both sides by -4: x = 391/2"], "final_answer": "391/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 6) + 8 = 10(x - 81)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 8, \"d\": 10, \"e\": 81}", "seed": "3411336153577272451", "semantic_fingerprint": "sha256:410ef23fe7d2b929f147e4bbfe0c05cb1a16ae5105bfe55ba95aaeac97c2a514", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005264", "prompt": "Find x: 11(x + 9) - 148 = x - 3", "solution_steps": ["Expand: 11x + 99 - 148 = x - 3", "Combine constants: 11x - 49 = x - 3", "Subtract x from both sides: 10x - 49 = -3", "Add 49 to both sides: 10x = 46", "Divide both sides by 10: x = 23/5"], "final_answer": "23/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 9) - 148 = x - 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9, \"c\": 148, \"d\": 3}", "seed": "13674869054586736664", "semantic_fingerprint": "sha256:e1d26465297e759408ac51bf565a5a46089ac37ec5fb2966a755c980aff6ada8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005265", "prompt": "Evaluate: (-4 - 54) * 23 * 7", "solution_steps": ["Subtract: -4 - 54 = -58", "Multiply: -58 * 23 = -1334", "Multiply: -1334 * 7 = -9338"], "final_answer": "-9338", "answer_type": "integer", "kind": "expression", "math_text": "(-4 - 54) * 23 * 7", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 54, \"c\": 23, \"d\": 7}", "seed": "18140889444360904151", "semantic_fingerprint": "sha256:cfb0ba8f1df0ec2c797b4c426b479e682d71e6094104ee307711fc5a988a66f4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005266", "prompt": "Compute: (-45 + 676 + (-2) / 26) / (-55)", "solution_steps": ["Add: -45 + 676 = 631", "Divide: -2 / 26 = -1/13", "Add: 631 + (-1/13) = 8202/13", "Divide: (8202/13) / (-55) = -8202/715"], "final_answer": "-8202/715", "answer_type": "rational", "kind": "expression", "math_text": "(-45 + 676 + (-2) / 26) / (-55)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": 676, \"c\": -2, \"d\": 26, \"e\": -55}", "seed": "6167689193755225686", "semantic_fingerprint": "sha256:d5978e11331e488bed8b6746580762a043bc4b27c44bab0d956900ef2bf8168f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005267", "prompt": "What is -3 - (-71 * (-988) + 48)?", "solution_steps": ["Multiply: -71 * (-988) = 70148", "Add: 70148 + 48 = 70196", "Subtract: -3 - 70196 = -70199"], "final_answer": "-70199", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (-71 * (-988) + 48)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -71, \"c\": -988, \"d\": 48}", "seed": "17250378576516510312", "semantic_fingerprint": "sha256:a38282f3fc5759e6dc6d3df9660b04597aa62606443aa5010d75de3742b4f5b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005268", "prompt": "Evaluate: -987 - 9 - (38 + 43) / (-88) + 382", "solution_steps": ["Subtract: -987 - 9 = -996", "Add: 38 + 43 = 81", "Divide: 81 / (-88) = -81/88", "Subtract: -996 - (-81/88) = -87567/88", "Add: -87567/88 + 382 = -53951/88"], "final_answer": "-53951/88", "answer_type": "rational", "kind": "expression", "math_text": "-987 - 9 - (38 + 43) / (-88) + 382", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n n) (/ (+ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -987, \"b\": 9, \"c\": 38, \"d\": 43, \"e\": -88, \"f\": 382}", "seed": "484828910796758612", "semantic_fingerprint": "sha256:2f9f9b7d82eb79ebfe0506cec9439d07dc2a3a5cb0f3a8eaf2441383e49c2c66", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005269", "prompt": "Find x: 6(x - 5) + 803 = 12x + 671", "solution_steps": ["Expand: 6x - 30 + 803 = 12x + 671", "Combine constants: 6x + 773 = 12x + 671", "Subtract 12x from both sides: -6x + 773 = 671", "Subtract 773 from both sides: -6x = -102", "Divide both sides by -6: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 5) + 803 = 12x + 671", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 803, \"d\": 12, \"f\": 671, \"x\": 17}", "seed": "3491737353259606822", "semantic_fingerprint": "sha256:796e2f845bca04e4a5c1e8a94c59cdabaeef14d4eade167fda40576b56696ceb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005270", "prompt": "What is (-562 + 68 + 1) / (-3 * (-1) / 51)?", "solution_steps": ["Add: -562 + 68 = -494", "Add: -494 + 1 = -493", "Multiply: -3 * (-1) = 3", "Divide: 3 / 51 = 1/17", "Divide: -493 / (1/17) = -8381"], "final_answer": "-8381", "answer_type": "integer", "kind": "expression", "math_text": "(-562 + 68 + 1) / (-3 * (-1) / 51)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ n n) n) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -562, \"b\": 68, \"c\": 1, \"d\": -3, \"e\": -1, \"f\": 51}", "seed": "6954371670468286204", "semantic_fingerprint": "sha256:6ecd7332bf7fec661f71ff082b1d48df90ff0b39eba658f7d995349cb89ed9ab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005271", "prompt": "What is 719 / (-725 - 7) + (0 * (-27) + 190)?", "solution_steps": ["Subtract: -725 - 7 = -732", "Divide: 719 / (-732) = -719/732", "Multiply: 0 * (-27) = 0", "Add: 0 + 190 = 190", "Add: -719/732 + 190 = 138361/732"], "final_answer": "138361/732", "answer_type": "rational", "kind": "expression", "math_text": "719 / (-725 - 7) + (0 * (-27) + 190)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (- n n)) (+ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 719, \"b\": -725, \"c\": 7, \"d\": 0, \"e\": -27, \"f\": 190}", "seed": "9698680865823624003", "semantic_fingerprint": "sha256:deb4482258a81963e50ed00f7cac185310d7755909ec7e91ba4b194814b4833a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005272", "prompt": "Find x: 4(x - 55) + 180 = -2(x - 4)", "solution_steps": ["Expand: 4x - 220 + 180 = -2(x - 4)", "Expand: 4x - 220 + 180 = -2x + 8", "Combine constants: 4x - 40 = -2x + 8", "Add 2x to both sides: 6x - 40 = 8", "Add 40 to both sides: 6x = 48", "Divide both sides by 6: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 55) + 180 = -2(x - 4)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 55, \"c\": -2, \"d\": 4, \"f\": 180, \"x\": 8}", "seed": "17958549700735442233", "semantic_fingerprint": "sha256:53128d2875c768c327a37a208f13e0ba676abb05784f48e2e8adc604595fc764", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005273", "prompt": "Solve for x: 8(x - 8) + 247 = 10(x + 22) - 59", "solution_steps": ["Expand: 8x - 64 + 247 = 10(x + 22) - 59", "Expand: 8x - 64 + 247 = 10x + 220 - 59", "Combine constants: 8x + 183 = 10x + 220 - 59", "Combine constants: 8x + 183 = 10x + 161", "Subtract 10x from both sides: -2x + 183 = 161", "Subtract 183 from both sides: -2x = -22", "Divide both sides by -2: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 8) + 247 = 10(x + 22) - 59", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": 247, \"d\": 10, \"e\": 22, \"g\": -59, \"x\": 11}", "seed": "12273720115865227991", "semantic_fingerprint": "sha256:136d81c07f99649580cebd550ea9c1fa52051a906bf09f241db2d71b363e4ebb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005274", "prompt": "Calculate: 73 + 3 / (-899 - 4)", "solution_steps": ["Subtract: -899 - 4 = -903", "Divide: 3 / (-903) = -1/301", "Add: 73 + (-1/301) = 21972/301"], "final_answer": "21972/301", "answer_type": "rational", "kind": "expression", "math_text": "73 + 3 / (-899 - 4)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 3, \"c\": -899, \"d\": 4}", "seed": "1453983291637797471", "semantic_fingerprint": "sha256:6a4115da995fd60b6f678eddecb9258ebc51939dbeb4af1da608c05e19d24418", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005275", "prompt": "Calculate: (6 - (-99) + 5) * (-6)", "solution_steps": ["Subtract: 6 - (-99) = 105", "Add: 105 + 5 = 110", "Multiply: 110 * (-6) = -660"], "final_answer": "-660", "answer_type": "integer", "kind": "expression", "math_text": "(6 - (-99) + 5) * (-6)", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -99, \"c\": 5, \"d\": -6}", "seed": "4806207160275023068", "semantic_fingerprint": "sha256:edd63ee5827c4641f27c72097eb48142e622b0a57c974e132bc18e87d41a227a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005276", "prompt": "Solve the equation 7(x - 9) + 922 = 9(x - 5) for x.", "solution_steps": ["Expand: 7x - 63 + 922 = 9(x - 5)", "Expand: 7x - 63 + 922 = 9x - 45", "Combine constants: 7x + 859 = 9x - 45", "Subtract 9x from both sides: -2x + 859 = -45", "Subtract 859 from both sides: -2x = -904", "Divide both sides by -2: x = 452"], "final_answer": "452", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 9) + 922 = 9(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 922, \"d\": 9, \"e\": 5}", "seed": "14209496113040924075", "semantic_fingerprint": "sha256:28f81e6843db7b50cef6423ac0230fba2878da9168dc1de16ca9109f6d1f0cf9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005277", "prompt": "Find x: 12(x - 7) = 4x - 34", "solution_steps": ["Expand: 12x - 84 = 4x - 34", "Subtract 4x from both sides: 8x - 84 = -34", "Add 84 to both sides: 8x = 50", "Divide both sides by 8: x = 25/4"], "final_answer": "25/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 7) = 4x - 34", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"c\": 4, \"d\": 34}", "seed": "3174532881971638095", "semantic_fingerprint": "sha256:055d0fd658b5de7a47dc7dc63d808a61e45bdc143b8859fde72126912a139bd5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005278", "prompt": "Find x: 6(x - 60) + 696 = -10(x - 32)", "solution_steps": ["Expand: 6x - 360 + 696 = -10(x - 32)", "Expand: 6x - 360 + 696 = -10x + 320", "Combine constants: 6x + 336 = -10x + 320", "Add 10x to both sides: 16x + 336 = 320", "Subtract 336 from both sides: 16x = -16", "Divide both sides by 16: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 60) + 696 = -10(x - 32)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 60, \"c\": -10, \"d\": 32, \"f\": 696, \"x\": -1}", "seed": "1217621818640554646", "semantic_fingerprint": "sha256:05fb62c805e020ee4173f2e2e490cd02cf007731766629e5364c5335f81ed60a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005279", "prompt": "Evaluate: (31 + (-43)) / (877 / (-56))", "solution_steps": ["Add: 31 + (-43) = -12", "Divide: 877 / (-56) = -877/56", "Divide: -12 / (-877/56) = 672/877"], "final_answer": "672/877", "answer_type": "rational", "kind": "expression", "math_text": "(31 + (-43)) / (877 / (-56))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": -43, \"c\": 877, \"d\": -56}", "seed": "17065776336247427200", "semantic_fingerprint": "sha256:56235f9e25ecf54729ac2d76d4717a9a087cd8321a90048c9fcbda0cf59504d0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005280", "prompt": "Calculate: -1 - (-34 - (-748 + 37) / 58 - 28)", "solution_steps": ["Add: -748 + 37 = -711", "Divide: -711 / 58 = -711/58", "Subtract: -34 - (-711/58) = -1261/58", "Subtract: -1261/58 - 28 = -2885/58", "Subtract: -1 - (-2885/58) = 2827/58"], "final_answer": "2827/58", "answer_type": "rational", "kind": "expression", "math_text": "-1 - (-34 - (-748 + 37) / 58 - 28)", "variable": null, "family": "expression_5op", "shape": "(- n (- (- n (/ (+ n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -34, \"c\": -748, \"d\": 37, \"e\": 58, \"f\": 28}", "seed": "2808684963388259724", "semantic_fingerprint": "sha256:8907d9dcfb6be0c5a9011b9643fbfe589cf1bcca6a062df91c5c26714d2f332a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005281", "prompt": "What is -9 - 81 + (-21) + 17 * 783?", "solution_steps": ["Subtract: -9 - 81 = -90", "Add: -90 + (-21) = -111", "Multiply: 17 * 783 = 13311", "Add: -111 + 13311 = 13200"], "final_answer": "13200", "answer_type": "integer", "kind": "expression", "math_text": "-9 - 81 + (-21) + 17 * 783", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 81, \"c\": -21, \"d\": 17, \"e\": 783}", "seed": "17799257950011097215", "semantic_fingerprint": "sha256:8041760da2fed2c14022a5c448fe5e8e13b8796c234d9507d7ba9a431ec457dc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005282", "prompt": "Calculate: -94 + (-836 + (-452)) - (-758)", "solution_steps": ["Add: -836 + (-452) = -1288", "Add: -94 + (-1288) = -1382", "Subtract: -1382 - (-758) = -624"], "final_answer": "-624", "answer_type": "integer", "kind": "expression", "math_text": "-94 + (-836 + (-452)) - (-758)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": -836, \"c\": -452, \"d\": -758}", "seed": "14045562816652608341", "semantic_fingerprint": "sha256:04a444b1384b4ed47a7f686f9534d17a0de2576aca0b13b31c1e843c11021a82", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005283", "prompt": "Solve for x: -3x - 36 = 8(x + 35) + 105", "solution_steps": ["Expand: -3x - 36 = 8x + 280 + 105", "Combine constants: -3x - 36 = 8x + 385", "Subtract 8x from both sides: -11x - 36 = 385", "Add 36 to both sides: -11x = 421", "Divide both sides by -11: x = -421/11"], "final_answer": "-421/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x - 36 = 8(x + 35) + 105", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 36, \"c\": 8, \"d\": 35, \"e\": 105}", "seed": "10784427252322257526", "semantic_fingerprint": "sha256:ebd409d83b37fe94b0d855f79afb5673dbd1e495eb48596af99f34ac0499d1b5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005284", "prompt": "What is (-64 + 77) / (-8 / (-9)) * 694?", "solution_steps": ["Add: -64 + 77 = 13", "Divide: -8 / (-9) = 8/9", "Divide: 13 / (8/9) = 117/8", "Multiply: (117/8) * 694 = 40599/4"], "final_answer": "40599/4", "answer_type": "rational", "kind": "expression", "math_text": "(-64 + 77) / (-8 / (-9)) * 694", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": 77, \"c\": -8, \"d\": -9, \"e\": 694}", "seed": "1250168581681223102", "semantic_fingerprint": "sha256:8dcc3f532f342c33f0d0cdec84426887260fa0b50234a1d3a92653c3fbd86a92", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005285", "prompt": "Evaluate: -93 * (-9 / 5 / 38)", "solution_steps": ["Divide: -9 / 5 = -9/5", "Divide: (-9/5) / 38 = -9/190", "Multiply: -93 * (-9/190) = 837/190"], "final_answer": "837/190", "answer_type": "rational", "kind": "expression", "math_text": "-93 * (-9 / 5 / 38)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": -9, \"c\": 5, \"d\": 38}", "seed": "14457712794012884514", "semantic_fingerprint": "sha256:23440d771231fe2f202af4f9c03bd980680828fc1cc61b74547cbcf21f3291c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005286", "prompt": "Evaluate: -1 / (-288) + (1 / 51 + 0)", "solution_steps": ["Divide: -1 / (-288) = 1/288", "Divide: 1 / 51 = 1/51", "Add: 1/51 + 0 = 1/51", "Add: 1/288 + 1/51 = 113/4896"], "final_answer": "113/4896", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-288) + (1 / 51 + 0)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -288, \"c\": 1, \"d\": 51, \"e\": 0}", "seed": "11427716306947443683", "semantic_fingerprint": "sha256:fcfff2ad5af9fb8e725039f51a3e399a07032d7657dfdf09946dedd92a3ed8fa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005287", "prompt": "Compute: -21 + (-631 * (-26) - (-947))", "solution_steps": ["Multiply: -631 * (-26) = 16406", "Subtract: 16406 - (-947) = 17353", "Add: -21 + 17353 = 17332"], "final_answer": "17332", "answer_type": "integer", "kind": "expression", "math_text": "-21 + (-631 * (-26) - (-947))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": -631, \"c\": -26, \"d\": -947}", "seed": "16076385003647776059", "semantic_fingerprint": "sha256:94805f53f92b7319bf4ea7f51681d95c00943ec8b082b34ac698301b08184c96", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005288", "prompt": "Calculate: (-4 / 45 + 5) * (-87)", "solution_steps": ["Divide: -4 / 45 = -4/45", "Add: -4/45 + 5 = 221/45", "Multiply: (221/45) * (-87) = -6409/15"], "final_answer": "-6409/15", "answer_type": "rational", "kind": "expression", "math_text": "(-4 / 45 + 5) * (-87)", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 45, \"c\": 5, \"d\": -87}", "seed": "7606874216483170803", "semantic_fingerprint": "sha256:1c64ecf3f0b7baa414aff8d984887eb86c063ddf178421590cfce68bfbcbf017", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005289", "prompt": "Compute: -12 * (-68) * (-29 - (-86)) + (-262)", "solution_steps": ["Multiply: -12 * (-68) = 816", "Subtract: -29 - (-86) = 57", "Multiply: 816 * 57 = 46512", "Add: 46512 + (-262) = 46250"], "final_answer": "46250", "answer_type": "integer", "kind": "expression", "math_text": "-12 * (-68) * (-29 - (-86)) + (-262)", "variable": null, "family": "expression_4op", "shape": "(+ (* (* n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -68, \"c\": -29, \"d\": -86, \"e\": -262}", "seed": "401087752091728078", "semantic_fingerprint": "sha256:275d44bc07ea82cbabfae392c8d34b742526e8a2e4f388851d529ad49c2afe18", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005290", "prompt": "Calculate: 844 * (-15 - 7 * (-66) + 22)", "solution_steps": ["Multiply: 7 * (-66) = -462", "Subtract: -15 - (-462) = 447", "Add: 447 + 22 = 469", "Multiply: 844 * 469 = 395836"], "final_answer": "395836", "answer_type": "integer", "kind": "expression", "math_text": "844 * (-15 - 7 * (-66) + 22)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (- n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 844, \"b\": -15, \"c\": 7, \"d\": -66, \"e\": 22}", "seed": "14060032482459588045", "semantic_fingerprint": "sha256:30348c96870e60beabdbca0936342fcff58e9e5bbc3d3a3f03a9cb2d70eccd8a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005291", "prompt": "Compute: (-44 + 79 + (-75)) * (-9)", "solution_steps": ["Add: -44 + 79 = 35", "Add: 35 + (-75) = -40", "Multiply: -40 * (-9) = 360"], "final_answer": "360", "answer_type": "integer", "kind": "expression", "math_text": "(-44 + 79 + (-75)) * (-9)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": 79, \"c\": -75, \"d\": -9}", "seed": "12284136829025099692", "semantic_fingerprint": "sha256:c5878b3dc51aa1fb44427586db43b14f669d908fa0d6aa05e81bd0afae1a5a71", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005292", "prompt": "Evaluate: (-2 + (-44)) / (-1 / 38)", "solution_steps": ["Add: -2 + (-44) = -46", "Divide: -1 / 38 = -1/38", "Divide: -46 / (-1/38) = 1748"], "final_answer": "1748", "answer_type": "integer", "kind": "expression", "math_text": "(-2 + (-44)) / (-1 / 38)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -44, \"c\": -1, \"d\": 38}", "seed": "7820249193775929185", "semantic_fingerprint": "sha256:2f5a38dad39e7dd043b44191851970314dbad77ada4af6d364b8621485a95c1a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005293", "prompt": "What value of x satisfies 3(x - 9) = 10x - 41?", "solution_steps": ["Expand: 3x - 27 = 10x - 41", "Subtract 10x from both sides: -7x - 27 = -41", "Add 27 to both sides: -7x = -14", "Divide both sides by -7: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 9) = 10x - 41", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 10, \"e\": -41, \"x\": 2}", "seed": "15485331301951368353", "semantic_fingerprint": "sha256:5c3d06aaae0fb432d40b48ef180b6c15f2dbea21360bac852a9338b336e19287", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005294", "prompt": "Compute: (-5 + 28 / (-22)) * ((81 - 36) / 91)", "solution_steps": ["Divide: 28 / (-22) = -14/11", "Add: -5 + (-14/11) = -69/11", "Subtract: 81 - 36 = 45", "Divide: 45 / 91 = 45/91", "Multiply: (-69/11) * (45/91) = -3105/1001"], "final_answer": "-3105/1001", "answer_type": "rational", "kind": "expression", "math_text": "(-5 + 28 / (-22)) * ((81 - 36) / 91)", "variable": null, "family": "expression_5op", "shape": "(* (+ n (/ n n)) (/ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 28, \"c\": -22, \"d\": 81, \"e\": 36, \"f\": 91}", "seed": "13267244035885467466", "semantic_fingerprint": "sha256:16013f62b59f1999134671fb9e0d7be7585ef07ee2f93ad53aa2f3e245990688", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005295", "prompt": "Find x: -8(x - 2) + 567 = -2x + 571", "solution_steps": ["Expand: -8x + 16 + 567 = -2x + 571", "Combine constants: -8x + 583 = -2x + 571", "Add 2x to both sides: -6x + 583 = 571", "Subtract 583 from both sides: -6x = -12", "Divide both sides by -6: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 2) + 567 = -2x + 571", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 2, \"c\": 567, \"d\": -2, \"f\": 571, \"x\": 2}", "seed": "9358831291655091383", "semantic_fingerprint": "sha256:6659eb09c29f98837719da5f811c287af84fda3dd24c0e5309eb487501d1fbbd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005296", "prompt": "Compute: -3 / 98 + (-242) / 6", "solution_steps": ["Divide: -3 / 98 = -3/98", "Divide: -242 / 6 = -121/3", "Add: -3/98 + (-121/3) = -11867/294"], "final_answer": "-11867/294", "answer_type": "rational", "kind": "expression", "math_text": "-3 / 98 + (-242) / 6", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 98, \"c\": -242, \"d\": 6}", "seed": "1330666684412783763", "semantic_fingerprint": "sha256:c2de1e11744cbbbc8d38ee7988914f3c6018a01b801b09e64413de65bf894ed4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005297", "prompt": "Solve for x: 10(x - 7) - 10 = 2(x - 8)", "solution_steps": ["Expand: 10x - 70 - 10 = 2(x - 8)", "Expand: 10x - 70 - 10 = 2x - 16", "Combine constants: 10x - 80 = 2x - 16", "Subtract 2x from both sides: 8x - 80 = -16", "Add 80 to both sides: 8x = 64", "Divide both sides by 8: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 7) - 10 = 2(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7, \"c\": 2, \"d\": 8, \"f\": -10, \"x\": 8}", "seed": "3172504480395067250", "semantic_fingerprint": "sha256:8989c5ae753140745f1735658c22a6a1059bddb7ded77dfd7039e75b6fdbb5ac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005298", "prompt": "Solve the equation -3(x - 4) = -9x - 30 for x.", "solution_steps": ["Expand: -3x + 12 = -9x - 30", "Add 9x to both sides: 6x + 12 = -30", "Subtract 12 from both sides: 6x = -42", "Divide both sides by 6: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 4) = -9x - 30", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 4, \"c\": -9, \"e\": -30, \"x\": -7}", "seed": "3256625700179196626", "semantic_fingerprint": "sha256:a1431c4d3cfe3a7158ada5412fb738cc686b5909f0c26fd2edcaf918899fd488", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005299", "prompt": "What is (44 - (-7)) * (-2) * (-46)?", "solution_steps": ["Subtract: 44 - (-7) = 51", "Multiply: 51 * (-2) = -102", "Multiply: -102 * (-46) = 4692"], "final_answer": "4692", "answer_type": "integer", "kind": "expression", "math_text": "(44 - (-7)) * (-2) * (-46)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": -7, \"c\": -2, \"d\": -46}", "seed": "17682979968273853478", "semantic_fingerprint": "sha256:2eadd66570d2968f57d61bf11827c996b827dda9ba0f6bb8b35a70bc829fd973", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005300", "prompt": "Find x: -6(x - 71) + 1 = 4x + 277", "solution_steps": ["Expand: -6x + 426 + 1 = 4x + 277", "Combine constants: -6x + 427 = 4x + 277", "Subtract 4x from both sides: -10x + 427 = 277", "Subtract 427 from both sides: -10x = -150", "Divide both sides by -10: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 71) + 1 = 4x + 277", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 71, \"c\": 1, \"d\": 4, \"f\": 277, \"x\": 15}", "seed": "2270656180058572908", "semantic_fingerprint": "sha256:90409cbbd9aaef8f77f01e04808a971e7e1f919df1dbecbf5c8557311f0508d5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005301", "prompt": "What value of x satisfies 2(x - 65) = 8x - 238?", "solution_steps": ["Expand: 2x - 130 = 8x - 238", "Subtract 8x from both sides: -6x - 130 = -238", "Add 130 to both sides: -6x = -108", "Divide both sides by -6: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 65) = 8x - 238", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 65, \"c\": 8, \"e\": -238, \"x\": 18}", "seed": "13479922866478875680", "semantic_fingerprint": "sha256:f4a37aa0dd78de10b9030b0b9c492e0c1e6fad61f6f861fe6e5452b76813eb23", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005302", "prompt": "What value of x satisfies 2(x - 77) + 527 = 6(x + 909) - 85?", "solution_steps": ["Expand: 2x - 154 + 527 = 6(x + 909) - 85", "Expand: 2x - 154 + 527 = 6x + 5454 - 85", "Combine constants: 2x + 373 = 6x + 5454 - 85", "Combine constants: 2x + 373 = 6x + 5369", "Subtract 6x from both sides: -4x + 373 = 5369", "Subtract 373 from both sides: -4x = 4996", "Divide both sides by -4: x = -1249"], "final_answer": "-1249", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 77) + 527 = 6(x + 909) - 85", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 77, \"c\": 527, \"d\": 6, \"e\": 909, \"f\": 85}", "seed": "4195664212115298759", "semantic_fingerprint": "sha256:ac85185ae25dd8f671d2cba0001afedd6e2d9fa8d8cb80159a6b264eb7546b2f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005303", "prompt": "Solve for x: -7(x - 28) + 4 = 3x + 20", "solution_steps": ["Expand: -7x + 196 + 4 = 3x + 20", "Combine constants: -7x + 200 = 3x + 20", "Subtract 3x from both sides: -10x + 200 = 20", "Subtract 200 from both sides: -10x = -180", "Divide both sides by -10: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 28) + 4 = 3x + 20", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 28, \"c\": 4, \"d\": 3, \"f\": 20, \"x\": 18}", "seed": "16877929977414241467", "semantic_fingerprint": "sha256:8161c46689139933136c0349facf4f3c157bf82654f587f1093167b3037d3693", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005304", "prompt": "What is 0 * 960 * (-52 / (6 + (-1)) + (-75))?", "solution_steps": ["Multiply: 0 * 960 = 0", "Add: 6 + (-1) = 5", "Divide: -52 / 5 = -52/5", "Add: -52/5 + (-75) = -427/5", "Multiply: 0 * (-427/5) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * 960 * (-52 / (6 + (-1)) + (-75))", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (+ (/ n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 960, \"c\": -52, \"d\": 6, \"e\": -1, \"f\": -75}", "seed": "16882155010211676440", "semantic_fingerprint": "sha256:7b0be11d210829c306bf6049deb9dfb320304460b65082796c486a620f5cf952", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005305", "prompt": "Solve the equation 12(x - 76) + 10 = 11(x + 4) - 935 for x.", "solution_steps": ["Expand: 12x - 912 + 10 = 11(x + 4) - 935", "Expand: 12x - 912 + 10 = 11x + 44 - 935", "Combine constants: 12x - 902 = 11x + 44 - 935", "Combine constants: 12x - 902 = 11x - 891", "Subtract 11x from both sides: x - 902 = -891", "Add 902 to both sides: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 76) + 10 = 11(x + 4) - 935", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 76, \"c\": 10, \"d\": 11, \"e\": 4, \"g\": -935, \"x\": 11}", "seed": "15039970420286515280", "semantic_fingerprint": "sha256:3f95eb8d09e5761bb4eea685023e0ab7727456e20a619e3439c373348c8c4a00", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005306", "prompt": "Evaluate: 45 / (0 + 0 - (5 + 175))", "solution_steps": ["Add: 0 + 0 = 0", "Add: 5 + 175 = 180", "Subtract: 0 - 180 = -180", "Divide: 45 / (-180) = -1/4"], "final_answer": "-1/4", "answer_type": "rational", "kind": "expression", "math_text": "45 / (0 + 0 - (5 + 175))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": 0, \"c\": 0, \"d\": 5, \"e\": 175}", "seed": "15130458526615527775", "semantic_fingerprint": "sha256:ab241cfa8f8b92fcfcddf94c0a5e9eb49a107cca7ce267663b6083c6646ea8a9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005307", "prompt": "Solve for x: x - 572 = 2(x - 3) + 947", "solution_steps": ["Expand: x - 572 = 2x - 6 + 947", "Combine constants: x - 572 = 2x + 941", "Subtract 2x from both sides: -x - 572 = 941", "Add 572 to both sides: -x = 1513", "Divide both sides by -1: x = -1513"], "final_answer": "-1513", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 572 = 2(x - 3) + 947", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 572, \"b\": 2, \"c\": 3, \"d\": 947}", "seed": "15105617565573564261", "semantic_fingerprint": "sha256:72a18031a053f5c5d66dd87915e538739b4d678607fd76753f0840a94d0f5444", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005308", "prompt": "Solve the equation 12(x - 562) + 848 = 4(x + 30) - 47 for x.", "solution_steps": ["Expand: 12x - 6744 + 848 = 4(x + 30) - 47", "Expand: 12x - 6744 + 848 = 4x + 120 - 47", "Combine constants: 12x - 5896 = 4x + 120 - 47", "Combine constants: 12x - 5896 = 4x + 73", "Subtract 4x from both sides: 8x - 5896 = 73", "Add 5896 to both sides: 8x = 5969", "Divide both sides by 8: x = 5969/8"], "final_answer": "5969/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 562) + 848 = 4(x + 30) - 47", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 562, \"c\": 848, \"d\": 4, \"e\": 30, \"f\": 47}", "seed": "10986780807382469268", "semantic_fingerprint": "sha256:9d4feece0edc57f0e5caf8249422128de2f1f12f0b884a72b5454f0da05da0e5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005309", "prompt": "Solve for x: 10x - 74 = 12(x + 2) + 63", "solution_steps": ["Expand: 10x - 74 = 12x + 24 + 63", "Combine constants: 10x - 74 = 12x + 87", "Subtract 12x from both sides: -2x - 74 = 87", "Add 74 to both sides: -2x = 161", "Divide both sides by -2: x = -161/2"], "final_answer": "-161/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x - 74 = 12(x + 2) + 63", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 74, \"c\": 12, \"d\": 2, \"e\": 63}", "seed": "3527957507866357350", "semantic_fingerprint": "sha256:16f0f9fe6abdc6811c85fe16c6f7f32d8966b2e2aac1007529850bc7e81540cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005310", "prompt": "Find x: 3(x + 762) - 87 = x - 9", "solution_steps": ["Expand: 3x + 2286 - 87 = x - 9", "Combine constants: 3x + 2199 = x - 9", "Subtract x from both sides: 2x + 2199 = -9", "Subtract 2199 from both sides: 2x = -2208", "Divide both sides by 2: x = -1104"], "final_answer": "-1104", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 762) - 87 = x - 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 762, \"c\": 87, \"d\": 9}", "seed": "17874989274474455704", "semantic_fingerprint": "sha256:469e9db6a7989d68f70f496c2c77778acbf4603109fab31c395adadd326db77f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005311", "prompt": "Compute: -63 - 744 + (-9 - (4 - (-95) * (-9)))", "solution_steps": ["Subtract: -63 - 744 = -807", "Multiply: -95 * (-9) = 855", "Subtract: 4 - 855 = -851", "Subtract: -9 - (-851) = 842", "Add: -807 + 842 = 35"], "final_answer": "35", "answer_type": "integer", "kind": "expression", "math_text": "-63 - 744 + (-9 - (4 - (-95) * (-9)))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (- n (- n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 744, \"c\": -9, \"d\": 4, \"e\": -95, \"f\": -9}", "seed": "11678774836572354149", "semantic_fingerprint": "sha256:c2b1d027cf07708f2075b3264853fd20aa48cb349352beb621f876f7500826a5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005312", "prompt": "What is -7 - 7 + (0 + (-8) * (597 + 7))?", "solution_steps": ["Subtract: -7 - 7 = -14", "Add: 597 + 7 = 604", "Multiply: -8 * 604 = -4832", "Add: 0 + (-4832) = -4832", "Add: -14 + (-4832) = -4846"], "final_answer": "-4846", "answer_type": "integer", "kind": "expression", "math_text": "-7 - 7 + (0 + (-8) * (597 + 7))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (+ n (* n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 7, \"c\": 0, \"d\": -8, \"e\": 597, \"f\": 7}", "seed": "18147594933163380159", "semantic_fingerprint": "sha256:6e228e644f90754f8e1d903d2daea57ea5207e4568bf1814de211de0bb17e435", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005313", "prompt": "Evaluate: -38 / (-3 * (-574)) - 6", "solution_steps": ["Multiply: -3 * (-574) = 1722", "Divide: -38 / 1722 = -19/861", "Subtract: -19/861 - 6 = -5185/861"], "final_answer": "-5185/861", "answer_type": "rational", "kind": "expression", "math_text": "-38 / (-3 * (-574)) - 6", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": -3, \"c\": -574, \"d\": 6}", "seed": "14481585196266555796", "semantic_fingerprint": "sha256:2b73a53c805dba67e149c74efc91121c10eff67695ad7d3d855ab59f88170d27", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005314", "prompt": "What is (-2 + 44) / (-489) - (12 - 49 + 76)?", "solution_steps": ["Add: -2 + 44 = 42", "Divide: 42 / (-489) = -14/163", "Subtract: 12 - 49 = -37", "Add: -37 + 76 = 39", "Subtract: -14/163 - 39 = -6371/163"], "final_answer": "-6371/163", "answer_type": "rational", "kind": "expression", "math_text": "(-2 + 44) / (-489) - (12 - 49 + 76)", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ n n) n) (+ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 44, \"c\": -489, \"d\": 12, \"e\": 49, \"f\": 76}", "seed": "11723457585863574356", "semantic_fingerprint": "sha256:948f066f0a1493f3972db574efba606dc742811a59842e56678411f153129918", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005315", "prompt": "Find x: -9(x - 1) - 345 = -7(x - 5)", "solution_steps": ["Expand: -9x + 9 - 345 = -7(x - 5)", "Expand: -9x + 9 - 345 = -7x + 35", "Combine constants: -9x - 336 = -7x + 35", "Add 7x to both sides: -2x - 336 = 35", "Add 336 to both sides: -2x = 371", "Divide both sides by -2: x = -371/2"], "final_answer": "-371/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 1) - 345 = -7(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 1, \"c\": 345, \"d\": -7, \"e\": 5}", "seed": "7064900618739267442", "semantic_fingerprint": "sha256:4a16cfa0fbffb60f0c34dcfcca8f40ccf0091fed4dfc07c666c08749b8ca6ab1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005316", "prompt": "Evaluate: (43 * (-3) - (5 - (-526))) / (59 - (-84))", "solution_steps": ["Multiply: 43 * (-3) = -129", "Subtract: 5 - (-526) = 531", "Subtract: -129 - 531 = -660", "Subtract: 59 - (-84) = 143", "Divide: -660 / 143 = -60/13"], "final_answer": "-60/13", "answer_type": "rational", "kind": "expression", "math_text": "(43 * (-3) - (5 - (-526))) / (59 - (-84))", "variable": null, "family": "expression_5op", "shape": "(/ (- (* n n) (- n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": -3, \"c\": 5, \"d\": -526, \"e\": 59, \"f\": -84}", "seed": "2818412966298421034", "semantic_fingerprint": "sha256:7412e49f265e998b18a0cc1f67977f32fbab6dc7b36f4a40964a784d4c356dd6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005317", "prompt": "Solve the equation 10(x + 9) + 8 = -3(x + 57) - 7 for x.", "solution_steps": ["Expand: 10x + 90 + 8 = -3(x + 57) - 7", "Expand: 10x + 90 + 8 = -3x - 171 - 7", "Combine constants: 10x + 98 = -3x - 171 - 7", "Combine constants: 10x + 98 = -3x - 178", "Add 3x to both sides: 13x + 98 = -178", "Subtract 98 from both sides: 13x = -276", "Divide both sides by 13: x = -276/13"], "final_answer": "-276/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 9) + 8 = -3(x + 57) - 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": 8, \"d\": -3, \"e\": 57, \"f\": 7}", "seed": "161978769733393305", "semantic_fingerprint": "sha256:64cf341cd54e94962a39d57633700506a4f90d20a27628ab68dcbe6f1284594c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005318", "prompt": "Find x: x - 9 = 7(x - 45) + 402", "solution_steps": ["Expand: x - 9 = 7x - 315 + 402", "Combine constants: x - 9 = 7x + 87", "Subtract 7x from both sides: -6x - 9 = 87", "Add 9 to both sides: -6x = 96", "Divide both sides by -6: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9 = 7(x - 45) + 402", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 45, \"e\": 402, \"x\": -16}", "seed": "10956287243933656205", "semantic_fingerprint": "sha256:af3aa6548f20f0db738807e9be8b1b8fa278cff539e78ed4153115941b7f8b45", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005319", "prompt": "Calculate: -25 - (35 + (-398 - 32))", "solution_steps": ["Subtract: -398 - 32 = -430", "Add: 35 + (-430) = -395", "Subtract: -25 - (-395) = 370"], "final_answer": "370", "answer_type": "integer", "kind": "expression", "math_text": "-25 - (35 + (-398 - 32))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 35, \"c\": -398, \"d\": 32}", "seed": "16575052270356780752", "semantic_fingerprint": "sha256:9c446c5a7327c13cd4c0792c7f5a159ed7717615198817bcf5b76a64bbb87ccd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005320", "prompt": "What is (54 - (-341)) * (-5 / (-5))?", "solution_steps": ["Subtract: 54 - (-341) = 395", "Divide: -5 / (-5) = 1", "Multiply: 395 * 1 = 395"], "final_answer": "395", "answer_type": "integer", "kind": "expression", "math_text": "(54 - (-341)) * (-5 / (-5))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": -341, \"c\": -5, \"d\": -5}", "seed": "10343743476166111554", "semantic_fingerprint": "sha256:4457c7f027ef2f680dc26b7fd8fb13481797f5eb7dc4239e6035341e9bb7b7f4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005321", "prompt": "Solve the equation x - 86 = 4(x - 21) + 31 for x.", "solution_steps": ["Expand: x - 86 = 4x - 84 + 31", "Combine constants: x - 86 = 4x - 53", "Subtract 4x from both sides: -3x - 86 = -53", "Add 86 to both sides: -3x = 33", "Divide both sides by -3: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 86 = 4(x - 21) + 31", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 4, \"c\": 21, \"e\": 31, \"x\": -11}", "seed": "11619629596547594014", "semantic_fingerprint": "sha256:8ce74fb52823b6b834cbcbe9e25410687c708eeeacb2f350cd91bd9c482164d6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005322", "prompt": "Evaluate: -12 * 36 / (-37) + (831 + (-42) * (-76))", "solution_steps": ["Multiply: -12 * 36 = -432", "Divide: -432 / (-37) = 432/37", "Multiply: -42 * (-76) = 3192", "Add: 831 + 3192 = 4023", "Add: 432/37 + 4023 = 149283/37"], "final_answer": "149283/37", "answer_type": "rational", "kind": "expression", "math_text": "-12 * 36 / (-37) + (831 + (-42) * (-76))", "variable": null, "family": "expression_5op", "shape": "(+ (/ (* n n) n) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 36, \"c\": -37, \"d\": 831, \"e\": -42, \"f\": -76}", "seed": "11087046692063356737", "semantic_fingerprint": "sha256:30315dd09db9d03b82feba51b0e7d3e7e01c30d267cc6ab0989fbb0e62e9c447", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005323", "prompt": "Compute: 5 - (-9 - (-1 - (-13))) * (-93 / (-1))", "solution_steps": ["Subtract: -1 - (-13) = 12", "Subtract: -9 - 12 = -21", "Divide: -93 / (-1) = 93", "Multiply: -21 * 93 = -1953", "Subtract: 5 - (-1953) = 1958"], "final_answer": "1958", "answer_type": "integer", "kind": "expression", "math_text": "5 - (-9 - (-1 - (-13))) * (-93 / (-1))", "variable": null, "family": "expression_5op", "shape": "(- n (* (- n (- n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -9, \"c\": -1, \"d\": -13, \"e\": -93, \"f\": -1}", "seed": "2604626279795206453", "semantic_fingerprint": "sha256:b48de8a455ed2647fab0f245df21def08bca5a47f1d09aaaed9e39b9644a797d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005324", "prompt": "Solve for x: 4(x - 54) - 81 = 2(x - 4) - 329", "solution_steps": ["Expand: 4x - 216 - 81 = 2(x - 4) - 329", "Expand: 4x - 216 - 81 = 2x - 8 - 329", "Combine constants: 4x - 297 = 2x - 8 - 329", "Combine constants: 4x - 297 = 2x - 337", "Subtract 2x from both sides: 2x - 297 = -337", "Add 297 to both sides: 2x = -40", "Divide both sides by 2: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 54) - 81 = 2(x - 4) - 329", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 54, \"c\": 81, \"d\": 2, \"e\": 4, \"g\": -329, \"x\": -20}", "seed": "1697366149511760635", "semantic_fingerprint": "sha256:ddf2e1336dc146204c5f438084f93829c44c5b444cea0c20282f09482081f43a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005325", "prompt": "What value of x satisfies -9(x - 36) - 422 = 7(x - 14)?", "solution_steps": ["Expand: -9x + 324 - 422 = 7(x - 14)", "Expand: -9x + 324 - 422 = 7x - 98", "Combine constants: -9x - 98 = 7x - 98", "Subtract 7x from both sides: -16x - 98 = -98", "Add 98 to both sides: -16x = 0", "Divide both sides by -16: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 36) - 422 = 7(x - 14)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 36, \"c\": 7, \"d\": 14, \"f\": -422, \"x\": 0}", "seed": "5010008710192580499", "semantic_fingerprint": "sha256:a716b3b21434bf47184b5ac1ba2c9a41e77ce9b341fab8b7ce777826026ee741", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005326", "prompt": "What is (70 - (-207)) / (-78 * 45)?", "solution_steps": ["Subtract: 70 - (-207) = 277", "Multiply: -78 * 45 = -3510", "Divide: 277 / (-3510) = -277/3510"], "final_answer": "-277/3510", "answer_type": "rational", "kind": "expression", "math_text": "(70 - (-207)) / (-78 * 45)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -207, \"c\": -78, \"d\": 45}", "seed": "15839939683550032295", "semantic_fingerprint": "sha256:acf8b76a698f657257966b6f05114d99153a1d263975920127d0472fd9e47b1e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005327", "prompt": "Evaluate: 62 - (-7 + (0 - (-25)))", "solution_steps": ["Subtract: 0 - (-25) = 25", "Add: -7 + 25 = 18", "Subtract: 62 - 18 = 44"], "final_answer": "44", "answer_type": "integer", "kind": "expression", "math_text": "62 - (-7 + (0 - (-25)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -7, \"c\": 0, \"d\": -25}", "seed": "11371442781175012549", "semantic_fingerprint": "sha256:b9fd572c789b580b8235417f40aa2262ce28d7f97813730deb86cc5744efa8f4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005328", "prompt": "Calculate: (5 - (-992)) * (-773 / (-11))", "solution_steps": ["Subtract: 5 - (-992) = 997", "Divide: -773 / (-11) = 773/11", "Multiply: 997 * (773/11) = 770681/11"], "final_answer": "770681/11", "answer_type": "rational", "kind": "expression", "math_text": "(5 - (-992)) * (-773 / (-11))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -992, \"c\": -773, \"d\": -11}", "seed": "15345257793270570956", "semantic_fingerprint": "sha256:828f6839ea3b97cfbe876dd6a53588e9c9eff2d1d22fc0aae46fa23ce177cf48", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005329", "prompt": "Calculate: 68 - (477 - 8 * 0 + 57)", "solution_steps": ["Multiply: 8 * 0 = 0", "Subtract: 477 - 0 = 477", "Add: 477 + 57 = 534", "Subtract: 68 - 534 = -466"], "final_answer": "-466", "answer_type": "integer", "kind": "expression", "math_text": "68 - (477 - 8 * 0 + 57)", "variable": null, "family": "expression_4op", "shape": "(- n (+ (- n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 477, \"c\": 8, \"d\": 0, \"e\": 57}", "seed": "13258285816275709909", "semantic_fingerprint": "sha256:88e4964e5d5971f32e00a6c1afe30293ada2d39cac98c23e444750914b5a66cd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005330", "prompt": "Compute: (-6 - 239) / 6 / (-7) + (4 - (-4))", "solution_steps": ["Subtract: -6 - 239 = -245", "Divide: -245 / 6 = -245/6", "Divide: (-245/6) / (-7) = 35/6", "Subtract: 4 - (-4) = 8", "Add: 35/6 + 8 = 83/6"], "final_answer": "83/6", "answer_type": "rational", "kind": "expression", "math_text": "(-6 - 239) / 6 / (-7) + (4 - (-4))", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ (- n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 239, \"c\": 6, \"d\": -7, \"e\": 4, \"f\": -4}", "seed": "10461329165493541619", "semantic_fingerprint": "sha256:3d9869c91fabcda4db363d93cbcbe2cca9ce9e122ed424b0dd38787088b4b53b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005331", "prompt": "Solve the equation 4x - 72 = -7(x + 38) + 403 for x.", "solution_steps": ["Expand: 4x - 72 = -7x - 266 + 403", "Combine constants: 4x - 72 = -7x + 137", "Add 7x to both sides: 11x - 72 = 137", "Add 72 to both sides: 11x = 209", "Divide both sides by 11: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 72 = -7(x + 38) + 403", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 72, \"c\": -7, \"d\": 38, \"f\": 403, \"x\": 19}", "seed": "5416321848803616945", "semantic_fingerprint": "sha256:34af734f40542368b797bcb3a8c9a8460656302f389fa5e0a752457516591b40", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005332", "prompt": "What value of x satisfies -12(x - 732) + 2 = 11(x - 1)?", "solution_steps": ["Expand: -12x + 8784 + 2 = 11(x - 1)", "Expand: -12x + 8784 + 2 = 11x - 11", "Combine constants: -12x + 8786 = 11x - 11", "Subtract 11x from both sides: -23x + 8786 = -11", "Subtract 8786 from both sides: -23x = -8797", "Divide both sides by -23: x = 8797/23"], "final_answer": "8797/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 732) + 2 = 11(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 732, \"c\": 2, \"d\": 11, \"e\": 1}", "seed": "18103826115334256432", "semantic_fingerprint": "sha256:5e124dac9c6c176d14d8aac9cbd4851f8908f8d1a7cd37b9bc46adf9403a51db", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005333", "prompt": "Find x: -8(x - 47) + 12 = -7x + 395", "solution_steps": ["Expand: -8x + 376 + 12 = -7x + 395", "Combine constants: -8x + 388 = -7x + 395", "Add 7x to both sides: -x + 388 = 395", "Subtract 388 from both sides: -x = 7", "Divide both sides by -1: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 47) + 12 = -7x + 395", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 47, \"c\": 12, \"d\": -7, \"f\": 395, \"x\": -7}", "seed": "16186190899879492092", "semantic_fingerprint": "sha256:f1c24468236372e0120bd799ef2d6b447cbac89d7f84396ec13252c9bf70ca43", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005334", "prompt": "What is 80 + 4 - (-49) / 63 + 880?", "solution_steps": ["Add: 80 + 4 = 84", "Divide: -49 / 63 = -7/9", "Subtract: 84 - (-7/9) = 763/9", "Add: 763/9 + 880 = 8683/9"], "final_answer": "8683/9", "answer_type": "rational", "kind": "expression", "math_text": "80 + 4 - (-49) / 63 + 880", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": 4, \"c\": -49, \"d\": 63, \"e\": 880}", "seed": "17141935314020575738", "semantic_fingerprint": "sha256:e2bb21912769b71ea7160263fc6b96666d1b313256eefe93e263229228ee29ed", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005335", "prompt": "What is 9 + (-8) - (-47) + (-61)?", "solution_steps": ["Add: 9 + (-8) = 1", "Subtract: 1 - (-47) = 48", "Add: 48 + (-61) = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "expression", "math_text": "9 + (-8) - (-47) + (-61)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -8, \"c\": -47, \"d\": -61}", "seed": "5512235930738048330", "semantic_fingerprint": "sha256:2beb69e2549d9635721d67a14a5c7bafa7b8ad179dc3eb1fa251d9163b9d58d0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005336", "prompt": "Find x: -4(x - 69) + 84 = -3x + 357", "solution_steps": ["Expand: -4x + 276 + 84 = -3x + 357", "Combine constants: -4x + 360 = -3x + 357", "Add 3x to both sides: -x + 360 = 357", "Subtract 360 from both sides: -x = -3", "Divide both sides by -1: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 69) + 84 = -3x + 357", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 69, \"c\": 84, \"d\": -3, \"f\": 357, \"x\": 3}", "seed": "9338395988614715725", "semantic_fingerprint": "sha256:7d68b74e37e0d000ce99606771aee8cbf99016f4a25d9b215ce5df7a35a58369", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005337", "prompt": "Solve for x: x - 5 = 3(x - 76) + 247", "solution_steps": ["Expand: x - 5 = 3x - 228 + 247", "Combine constants: x - 5 = 3x + 19", "Subtract 3x from both sides: -2x - 5 = 19", "Add 5 to both sides: -2x = 24", "Divide both sides by -2: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5 = 3(x - 76) + 247", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 76, \"e\": 247, \"x\": -12}", "seed": "14614280346170384473", "semantic_fingerprint": "sha256:b2e956751324545ce4e5fd787449ddf83d83d9359a7e6361b11f3dfd8f9b2069", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005338", "prompt": "What value of x satisfies 8x - 7 = -4(x + 1) + 91?", "solution_steps": ["Expand: 8x - 7 = -4x - 4 + 91", "Combine constants: 8x - 7 = -4x + 87", "Add 4x to both sides: 12x - 7 = 87", "Add 7 to both sides: 12x = 94", "Divide both sides by 12: x = 47/6"], "final_answer": "47/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 7 = -4(x + 1) + 91", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": -4, \"d\": 1, \"e\": 91}", "seed": "5242990085651268904", "semantic_fingerprint": "sha256:cdca36d33a5ac770cc3ecc25fa3f8a0bdcdbb5f913e54540a1cbafd230efe223", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005339", "prompt": "What value of x satisfies -5x - 30 = -4(x + 77) + 263?", "solution_steps": ["Expand: -5x - 30 = -4x - 308 + 263", "Combine constants: -5x - 30 = -4x - 45", "Add 4x to both sides: -x - 30 = -45", "Add 30 to both sides: -x = -15", "Divide both sides by -1: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 30 = -4(x + 77) + 263", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 30, \"c\": -4, \"d\": 77, \"f\": 263, \"x\": 15}", "seed": "9128609621910220614", "semantic_fingerprint": "sha256:b3b95657f88ae4406f113d0b7374f5570137fe942c306381a3fb719378631307", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005340", "prompt": "Solve for x: x - 31 = 3(x - 21) + 72", "solution_steps": ["Expand: x - 31 = 3x - 63 + 72", "Combine constants: x - 31 = 3x + 9", "Subtract 3x from both sides: -2x - 31 = 9", "Add 31 to both sides: -2x = 40", "Divide both sides by -2: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 31 = 3(x - 21) + 72", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 3, \"c\": 21, \"e\": 72, \"x\": -20}", "seed": "10280168597693919861", "semantic_fingerprint": "sha256:9fa475d490a53ea3984e8ba65ca0fc9b278d80f7d6c993ee3322e3333200bbdf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005341", "prompt": "Evaluate: 7 + 66 / 23 / (-339)", "solution_steps": ["Divide: 66 / 23 = 66/23", "Divide: (66/23) / (-339) = -22/2599", "Add: 7 + (-22/2599) = 18171/2599"], "final_answer": "18171/2599", "answer_type": "rational", "kind": "expression", "math_text": "7 + 66 / 23 / (-339)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 66, \"c\": 23, \"d\": -339}", "seed": "18384145742594259866", "semantic_fingerprint": "sha256:824ecb0b0219524d20c10d223f1d4d50e58a1cab1cadff85fdcc146830576444", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005342", "prompt": "Solve for x: -2x - 106 = 12(x + 367) + 56", "solution_steps": ["Expand: -2x - 106 = 12x + 4404 + 56", "Combine constants: -2x - 106 = 12x + 4460", "Subtract 12x from both sides: -14x - 106 = 4460", "Add 106 to both sides: -14x = 4566", "Divide both sides by -14: x = -2283/7"], "final_answer": "-2283/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2x - 106 = 12(x + 367) + 56", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 106, \"c\": 12, \"d\": 367, \"e\": 56}", "seed": "3380490571062445746", "semantic_fingerprint": "sha256:5fb67ff8f0fbc3f3bb9da019a10aeca144b17ca7fb1f7bb59a5175c057e8479a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005343", "prompt": "Find x: -4x - 59 = 11(x + 418) + 98", "solution_steps": ["Expand: -4x - 59 = 11x + 4598 + 98", "Combine constants: -4x - 59 = 11x + 4696", "Subtract 11x from both sides: -15x - 59 = 4696", "Add 59 to both sides: -15x = 4755", "Divide both sides by -15: x = -317"], "final_answer": "-317", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x - 59 = 11(x + 418) + 98", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 59, \"c\": 11, \"d\": 418, \"e\": 98}", "seed": "9612349701747803403", "semantic_fingerprint": "sha256:31986fedd663cad1103cf5d51afa748bec20f81feda3baa61e4fb8d3e2aef273", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005344", "prompt": "Find x: -7(x - 45) + 26 = 7(x + 8) - 19", "solution_steps": ["Expand: -7x + 315 + 26 = 7(x + 8) - 19", "Expand: -7x + 315 + 26 = 7x + 56 - 19", "Combine constants: -7x + 341 = 7x + 56 - 19", "Combine constants: -7x + 341 = 7x + 37", "Subtract 7x from both sides: -14x + 341 = 37", "Subtract 341 from both sides: -14x = -304", "Divide both sides by -14: x = 152/7"], "final_answer": "152/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x - 45) + 26 = 7(x + 8) - 19", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 45, \"c\": 26, \"d\": 7, \"e\": 8, \"f\": 19}", "seed": "16755716323487149709", "semantic_fingerprint": "sha256:9fa7976cda7c1eaa4d621e4b0907bd5925bb4c78230c2673725bfebffefaa428", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005345", "prompt": "Evaluate: 7 / (836 - 27 - (-1))", "solution_steps": ["Subtract: 836 - 27 = 809", "Subtract: 809 - (-1) = 810", "Divide: 7 / 810 = 7/810"], "final_answer": "7/810", "answer_type": "rational", "kind": "expression", "math_text": "7 / (836 - 27 - (-1))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 836, \"c\": 27, \"d\": -1}", "seed": "1923215833893737084", "semantic_fingerprint": "sha256:7a8d9dab144e1ccf5794a90828a1865f59c8292bf8a5f41c08fb5b5052a4ca08", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005346", "prompt": "Compute: -612 * (-1) / (-51) / (-99)", "solution_steps": ["Multiply: -612 * (-1) = 612", "Divide: 612 / (-51) = -12", "Divide: -12 / (-99) = 4/33"], "final_answer": "4/33", "answer_type": "rational", "kind": "expression", "math_text": "-612 * (-1) / (-51) / (-99)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -612, \"b\": -1, \"c\": -51, \"d\": -99}", "seed": "898613462991846298", "semantic_fingerprint": "sha256:0e9e0a951278951cb40d61a03ed8435f4b4962811222c27667d44d63bb8c4de0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005347", "prompt": "Find x: 3(x - 951) - 5 = 7(x - 5)", "solution_steps": ["Expand: 3x - 2853 - 5 = 7(x - 5)", "Expand: 3x - 2853 - 5 = 7x - 35", "Combine constants: 3x - 2858 = 7x - 35", "Subtract 7x from both sides: -4x - 2858 = -35", "Add 2858 to both sides: -4x = 2823", "Divide both sides by -4: x = -2823/4"], "final_answer": "-2823/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 951) - 5 = 7(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 951, \"c\": 5, \"d\": 7, \"e\": 5}", "seed": "9004409519569200967", "semantic_fingerprint": "sha256:0e9c096c2fdaab2c5a9d982dbe9a2071a97dc3d7c42efbda28fec46aff8f835a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005348", "prompt": "Solve for x: 12x - 50 = 9(x + 2) + 2", "solution_steps": ["Expand: 12x - 50 = 9x + 18 + 2", "Combine constants: 12x - 50 = 9x + 20", "Subtract 9x from both sides: 3x - 50 = 20", "Add 50 to both sides: 3x = 70", "Divide both sides by 3: x = 70/3"], "final_answer": "70/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 50 = 9(x + 2) + 2", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 50, \"c\": 9, \"d\": 2, \"e\": 2}", "seed": "15543973327167381198", "semantic_fingerprint": "sha256:bc24d1eb58d10c37c7d14d6ea77c07a3a0496b3af85ff958d235b208e9a1ab92", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005349", "prompt": "Calculate: 10 * ((13 - 20) / (30 / 51))", "solution_steps": ["Subtract: 13 - 20 = -7", "Divide: 30 / 51 = 10/17", "Divide: -7 / (10/17) = -119/10", "Multiply: 10 * (-119/10) = -119"], "final_answer": "-119", "answer_type": "integer", "kind": "expression", "math_text": "10 * ((13 - 20) / (30 / 51))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 13, \"c\": 20, \"d\": 30, \"e\": 51}", "seed": "18250508787212825613", "semantic_fingerprint": "sha256:32c88812f3630bc79aa5e7abbf71aff9314e58d1deb808dfe7ab8e42d5dd3160", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005350", "prompt": "Evaluate: (8 - (-4)) / (-485 * (-3))", "solution_steps": ["Subtract: 8 - (-4) = 12", "Multiply: -485 * (-3) = 1455", "Divide: 12 / 1455 = 4/485"], "final_answer": "4/485", "answer_type": "rational", "kind": "expression", "math_text": "(8 - (-4)) / (-485 * (-3))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -4, \"c\": -485, \"d\": -3}", "seed": "7968114668725899165", "semantic_fingerprint": "sha256:de3102df9ee10b6f90ff43b90d473d6db0c42f80d7ce7ac772f8b53ce6523486", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005351", "prompt": "Solve the equation x - 5 = 2(x - 227) + 442 for x.", "solution_steps": ["Expand: x - 5 = 2x - 454 + 442", "Combine constants: x - 5 = 2x - 12", "Subtract 2x from both sides: -x - 5 = -12", "Add 5 to both sides: -x = -7", "Divide both sides by -1: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5 = 2(x - 227) + 442", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 227, \"e\": 442, \"x\": 7}", "seed": "3577174931824611548", "semantic_fingerprint": "sha256:ca54d4a3d5841a0a7861930c81f9649e3ba7d06bed42f2ab16dc1c4f0e75bfc1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005352", "prompt": "Compute: -33 / (-2 * (-5) / (-23))", "solution_steps": ["Multiply: -2 * (-5) = 10", "Divide: 10 / (-23) = -10/23", "Divide: -33 / (-10/23) = 759/10"], "final_answer": "759/10", "answer_type": "rational", "kind": "expression", "math_text": "-33 / (-2 * (-5) / (-23))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": -2, \"c\": -5, \"d\": -23}", "seed": "8163347587530778460", "semantic_fingerprint": "sha256:a8a66f05a41c29b70c40515a7eebd4037b5f02d6e970e56d1a24c888e77baeaf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005353", "prompt": "Solve the equation 11(x + 5) - 131 = x - 26 for x.", "solution_steps": ["Expand: 11x + 55 - 131 = x - 26", "Combine constants: 11x - 76 = x - 26", "Subtract x from both sides: 10x - 76 = -26", "Add 76 to both sides: 10x = 50", "Divide both sides by 10: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 5) - 131 = x - 26", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": 131, \"e\": -26, \"x\": 5}", "seed": "2013954093120082499", "semantic_fingerprint": "sha256:6bd419cc38fddcfc95c9f1e7d7a8c1071a2ad3e93489eb6b651dfef06f0d1e9d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005354", "prompt": "Solve the equation 7(x - 80) = -8x - 66 for x.", "solution_steps": ["Expand: 7x - 560 = -8x - 66", "Add 8x to both sides: 15x - 560 = -66", "Add 560 to both sides: 15x = 494", "Divide both sides by 15: x = 494/15"], "final_answer": "494/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 80) = -8x - 66", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 80, \"c\": -8, \"d\": 66}", "seed": "10758994508350839031", "semantic_fingerprint": "sha256:e6a446299ac3c1e816f18408766d340eb1a374e5d588866bf1796c2199775b1f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005355", "prompt": "What is 70 - (-14 + (-10)) / (-446 * (-28))?", "solution_steps": ["Add: -14 + (-10) = -24", "Multiply: -446 * (-28) = 12488", "Divide: -24 / 12488 = -3/1561", "Subtract: 70 - (-3/1561) = 109273/1561"], "final_answer": "109273/1561", "answer_type": "rational", "kind": "expression", "math_text": "70 - (-14 + (-10)) / (-446 * (-28))", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -14, \"c\": -10, \"d\": -446, \"e\": -28}", "seed": "7785455561084445169", "semantic_fingerprint": "sha256:75837cf1295df51decf9a7344e0f483154485c6d9684cfa41db7cf5c208bbad2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005356", "prompt": "What value of x satisfies -6(x - 8) + 180 = -10(x - 26)?", "solution_steps": ["Expand: -6x + 48 + 180 = -10(x - 26)", "Expand: -6x + 48 + 180 = -10x + 260", "Combine constants: -6x + 228 = -10x + 260", "Add 10x to both sides: 4x + 228 = 260", "Subtract 228 from both sides: 4x = 32", "Divide both sides by 4: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 8) + 180 = -10(x - 26)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 8, \"c\": -10, \"d\": 26, \"f\": 180, \"x\": 8}", "seed": "4444088895886927311", "semantic_fingerprint": "sha256:1f12122db12310caf875aed17443da2a81539642418206f053ab571b54972cd0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005357", "prompt": "Evaluate: (-999 + (-70) * (-62)) / (7 * 5)", "solution_steps": ["Multiply: -70 * (-62) = 4340", "Add: -999 + 4340 = 3341", "Multiply: 7 * 5 = 35", "Divide: 3341 / 35 = 3341/35"], "final_answer": "3341/35", "answer_type": "rational", "kind": "expression", "math_text": "(-999 + (-70) * (-62)) / (7 * 5)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -999, \"b\": -70, \"c\": -62, \"d\": 7, \"e\": 5}", "seed": "925035232871699677", "semantic_fingerprint": "sha256:00745064764114873b84172bed316bad3701fcf0bf5f9059495be67d3298f68b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005358", "prompt": "Evaluate: -9 * (-9) / (83 + (-227))", "solution_steps": ["Multiply: -9 * (-9) = 81", "Add: 83 + (-227) = -144", "Divide: 81 / (-144) = -9/16"], "final_answer": "-9/16", "answer_type": "rational", "kind": "expression", "math_text": "-9 * (-9) / (83 + (-227))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -9, \"c\": 83, \"d\": -227}", "seed": "953711046323644936", "semantic_fingerprint": "sha256:a8b7e6852c07b6bc9c17eada6f2532577011d7cfa4eba81c8a45e30f5abe8bd6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005359", "prompt": "What is (-72 + 0) / (-47 * 96 - (-8 - (-570)))?", "solution_steps": ["Add: -72 + 0 = -72", "Multiply: -47 * 96 = -4512", "Subtract: -8 - (-570) = 562", "Subtract: -4512 - 562 = -5074", "Divide: -72 / (-5074) = 36/2537"], "final_answer": "36/2537", "answer_type": "rational", "kind": "expression", "math_text": "(-72 + 0) / (-47 * 96 - (-8 - (-570)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (- (* n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": 0, \"c\": -47, \"d\": 96, \"e\": -8, \"f\": -570}", "seed": "3483714231524200166", "semantic_fingerprint": "sha256:a2bb609c096906eb8fcdd218bac7476e88a7b378a265f525ccbcfc6ee2213880", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005360", "prompt": "Evaluate: (-3 * 230 + 53) * 368", "solution_steps": ["Multiply: -3 * 230 = -690", "Add: -690 + 53 = -637", "Multiply: -637 * 368 = -234416"], "final_answer": "-234416", "answer_type": "integer", "kind": "expression", "math_text": "(-3 * 230 + 53) * 368", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 230, \"c\": 53, \"d\": 368}", "seed": "6645765168480958027", "semantic_fingerprint": "sha256:fd8a911749df2f2d4983a4dd9ac1bf0a10c94d840161b0f5f75fe83b66ced4f9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005361", "prompt": "Find x: 5(x - 85) + 424 = 8(x - 5)", "solution_steps": ["Expand: 5x - 425 + 424 = 8(x - 5)", "Expand: 5x - 425 + 424 = 8x - 40", "Combine constants: 5x - 1 = 8x - 40", "Subtract 8x from both sides: -3x - 1 = -40", "Add 1 to both sides: -3x = -39", "Divide both sides by -3: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 85) + 424 = 8(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 85, \"c\": 8, \"d\": 5, \"f\": 424, \"x\": 13}", "seed": "15557847271865376404", "semantic_fingerprint": "sha256:bcd4fbadb54100241a8f3cb2c1008fbcf2b5b833cded56767798a71a89beab32", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005362", "prompt": "Calculate: (6 + (-15)) / (3 / 3)", "solution_steps": ["Add: 6 + (-15) = -9", "Divide: 3 / 3 = 1", "Divide: -9 / 1 = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "expression", "math_text": "(6 + (-15)) / (3 / 3)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -15, \"c\": 3, \"d\": 3}", "seed": "15330954783980046170", "semantic_fingerprint": "sha256:b6af72dfa84b41237c17458c2eb50f9e2c1d5c084db7243bd73138581c3ad755", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005363", "prompt": "Solve for x: x - 386 = 6(x - 65) + 30", "solution_steps": ["Expand: x - 386 = 6x - 390 + 30", "Combine constants: x - 386 = 6x - 360", "Subtract 6x from both sides: -5x - 386 = -360", "Add 386 to both sides: -5x = 26", "Divide both sides by -5: x = -26/5"], "final_answer": "-26/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 386 = 6(x - 65) + 30", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 386, \"b\": 6, \"c\": 65, \"d\": 30}", "seed": "4746974903726168030", "semantic_fingerprint": "sha256:a7b8d5db0e845edc26ec0fea027b7a42a8b6443352742bdcfb43adfd96b9b2da", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005364", "prompt": "What is (596 * 61 + (-3)) * (-5 / (6 * 705))?", "solution_steps": ["Multiply: 596 * 61 = 36356", "Add: 36356 + (-3) = 36353", "Multiply: 6 * 705 = 4230", "Divide: -5 / 4230 = -1/846", "Multiply: 36353 * (-1/846) = -36353/846"], "final_answer": "-36353/846", "answer_type": "rational", "kind": "expression", "math_text": "(596 * 61 + (-3)) * (-5 / (6 * 705))", "variable": null, "family": "expression_5op", "shape": "(* (+ (* n n) n) (/ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 596, \"b\": 61, \"c\": -3, \"d\": -5, \"e\": 6, \"f\": 705}", "seed": "2710398016207947710", "semantic_fingerprint": "sha256:75cb8458b18d5c3af8e0bd29f1456af3a97a0aeb363b0a5b14ef16e8bb4c0eca", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005365", "prompt": "Calculate: 62 * 39 - 273 * (460 + 3)", "solution_steps": ["Multiply: 62 * 39 = 2418", "Add: 460 + 3 = 463", "Multiply: 273 * 463 = 126399", "Subtract: 2418 - 126399 = -123981"], "final_answer": "-123981", "answer_type": "integer", "kind": "expression", "math_text": "62 * 39 - 273 * (460 + 3)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": 39, \"c\": 273, \"d\": 460, \"e\": 3}", "seed": "3147590681278633429", "semantic_fingerprint": "sha256:6b8aec314065a03d8e12c40f29210e11ac1f7812d8d293b3d4ab3386d1367f9a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005366", "prompt": "Solve the equation 8(x - 9) + 2 = -12(x + 2) - 77 for x.", "solution_steps": ["Expand: 8x - 72 + 2 = -12(x + 2) - 77", "Expand: 8x - 72 + 2 = -12x - 24 - 77", "Combine constants: 8x - 70 = -12x - 24 - 77", "Combine constants: 8x - 70 = -12x - 101", "Add 12x to both sides: 20x - 70 = -101", "Add 70 to both sides: 20x = -31", "Divide both sides by 20: x = -31/20"], "final_answer": "-31/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 9) + 2 = -12(x + 2) - 77", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 2, \"d\": -12, \"e\": 2, \"f\": 77}", "seed": "16629957532656596617", "semantic_fingerprint": "sha256:c6e4cbebf5a9db2c98855946e25d9cceb69d583aad21411899d92562ed83ecbe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005367", "prompt": "Solve for x: 7(x - 27) = 2x - 179", "solution_steps": ["Expand: 7x - 189 = 2x - 179", "Subtract 2x from both sides: 5x - 189 = -179", "Add 189 to both sides: 5x = 10", "Divide both sides by 5: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 27) = 2x - 179", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 27, \"c\": 2, \"e\": -179, \"x\": 2}", "seed": "1325626699204767077", "semantic_fingerprint": "sha256:e00bdf2ca9dd847087e0a7ad9395ffb2955e9c991167c853fe90a0fc3f5f3fb0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005368", "prompt": "Find x: -7(x - 14) + 866 = -10(x - 91)", "solution_steps": ["Expand: -7x + 98 + 866 = -10(x - 91)", "Expand: -7x + 98 + 866 = -10x + 910", "Combine constants: -7x + 964 = -10x + 910", "Add 10x to both sides: 3x + 964 = 910", "Subtract 964 from both sides: 3x = -54", "Divide both sides by 3: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 14) + 866 = -10(x - 91)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 14, \"c\": -10, \"d\": 91, \"f\": 866, \"x\": -18}", "seed": "14672170375242423222", "semantic_fingerprint": "sha256:25cdbfa90d6dcde223b92755ccab360946566b8fd9e1daefddc754f890e06d9e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005369", "prompt": "Find x: 8(x - 934) - 6 = 7(x - 6)", "solution_steps": ["Expand: 8x - 7472 - 6 = 7(x - 6)", "Expand: 8x - 7472 - 6 = 7x - 42", "Combine constants: 8x - 7478 = 7x - 42", "Subtract 7x from both sides: x - 7478 = -42", "Add 7478 to both sides: x = 7436"], "final_answer": "7436", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 934) - 6 = 7(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 934, \"c\": 6, \"d\": 7, \"e\": 6}", "seed": "16389214525426721831", "semantic_fingerprint": "sha256:abaa35f65f8e01153fa1e7056cfc25c01f8730b96e0b9c13ede9751b6ef06d5f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005370", "prompt": "What is -272 + (-31) - 3 + (-7)?", "solution_steps": ["Add: -272 + (-31) = -303", "Subtract: -303 - 3 = -306", "Add: -306 + (-7) = -313"], "final_answer": "-313", "answer_type": "integer", "kind": "expression", "math_text": "-272 + (-31) - 3 + (-7)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -272, \"b\": -31, \"c\": 3, \"d\": -7}", "seed": "1291995604443450933", "semantic_fingerprint": "sha256:92ec4b9eb8b3e7531693ea67e3a87c6f69de28024e65442464174be89062a5f6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005371", "prompt": "What value of x satisfies -4(x + 45) - 4 = x - 149?", "solution_steps": ["Expand: -4x - 180 - 4 = x - 149", "Combine constants: -4x - 184 = x - 149", "Subtract x from both sides: -5x - 184 = -149", "Add 184 to both sides: -5x = 35", "Divide both sides by -5: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 45) - 4 = x - 149", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 45, \"c\": 4, \"e\": -149, \"x\": -7}", "seed": "7623491390569471766", "semantic_fingerprint": "sha256:b24d976fa5ebea70b665df39460c9eb649c16bd769c86b4c24b3de01efc9094d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005372", "prompt": "Compute: (-751 + 155) / (-6 / 66)", "solution_steps": ["Add: -751 + 155 = -596", "Divide: -6 / 66 = -1/11", "Divide: -596 / (-1/11) = 6556"], "final_answer": "6556", "answer_type": "integer", "kind": "expression", "math_text": "(-751 + 155) / (-6 / 66)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -751, \"b\": 155, \"c\": -6, \"d\": 66}", "seed": "5347782282044832829", "semantic_fingerprint": "sha256:317ac4b193c8ff034c3ca9529614761fa7b6b8cff9b7b57d4a2ed4d0143b1e5f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005373", "prompt": "Solve for x: 6(x - 94) - 15 = -12(x - 772)", "solution_steps": ["Expand: 6x - 564 - 15 = -12(x - 772)", "Expand: 6x - 564 - 15 = -12x + 9264", "Combine constants: 6x - 579 = -12x + 9264", "Add 12x to both sides: 18x - 579 = 9264", "Add 579 to both sides: 18x = 9843", "Divide both sides by 18: x = 3281/6"], "final_answer": "3281/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 94) - 15 = -12(x - 772)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 94, \"c\": 15, \"d\": -12, \"e\": 772}", "seed": "15406073387923177111", "semantic_fingerprint": "sha256:fa19f9efff894e532a5a2046f0e5ca087d11cfae5071fda627d65751d80f2130", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005374", "prompt": "Solve for x: 6(x - 46) - 764 = 10(x - 98)", "solution_steps": ["Expand: 6x - 276 - 764 = 10(x - 98)", "Expand: 6x - 276 - 764 = 10x - 980", "Combine constants: 6x - 1040 = 10x - 980", "Subtract 10x from both sides: -4x - 1040 = -980", "Add 1040 to both sides: -4x = 60", "Divide both sides by -4: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 46) - 764 = 10(x - 98)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 46, \"c\": 10, \"d\": 98, \"f\": -764, \"x\": -15}", "seed": "14927194091922807691", "semantic_fingerprint": "sha256:d35080637c3e96527cd3219571fca6316aefa2940c1c984efc3da80873c50aae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005375", "prompt": "Find x: 12(x - 76) = -3x - 807", "solution_steps": ["Expand: 12x - 912 = -3x - 807", "Add 3x to both sides: 15x - 912 = -807", "Add 912 to both sides: 15x = 105", "Divide both sides by 15: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 76) = -3x - 807", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 76, \"c\": -3, \"e\": -807, \"x\": 7}", "seed": "3695097599030001902", "semantic_fingerprint": "sha256:b86d96c3eaec3571499812a8f8c7bc2a751cc698ba763f29dd9e3c81a061968d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005376", "prompt": "Evaluate: -57 + (6 * (-70) - (-2))", "solution_steps": ["Multiply: 6 * (-70) = -420", "Subtract: -420 - (-2) = -418", "Add: -57 + (-418) = -475"], "final_answer": "-475", "answer_type": "integer", "kind": "expression", "math_text": "-57 + (6 * (-70) - (-2))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": 6, \"c\": -70, \"d\": -2}", "seed": "12640378875429885035", "semantic_fingerprint": "sha256:0920a46185c8f274944c4c369232f4b535fcb7467705ad93791a657d3d473f70", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005377", "prompt": "Evaluate: 7 * (0 * (-1) - (-73)) * 3", "solution_steps": ["Multiply: 0 * (-1) = 0", "Subtract: 0 - (-73) = 73", "Multiply: 7 * 73 = 511", "Multiply: 511 * 3 = 1533"], "final_answer": "1533", "answer_type": "integer", "kind": "expression", "math_text": "7 * (0 * (-1) - (-73)) * 3", "variable": null, "family": "expression_4op", "shape": "(* (* n (- (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 0, \"c\": -1, \"d\": -73, \"e\": 3}", "seed": "17480776513855603211", "semantic_fingerprint": "sha256:d36fd0d62060c9eac34eb98a0b656247923d69580423e6f27fcef3ccc6de9ea2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005378", "prompt": "Compute: -2 / (-4) - (212 + (-8)) / (-2 - (-50))", "solution_steps": ["Divide: -2 / (-4) = 1/2", "Add: 212 + (-8) = 204", "Subtract: -2 - (-50) = 48", "Divide: 204 / 48 = 17/4", "Subtract: 1/2 - 17/4 = -15/4"], "final_answer": "-15/4", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-4) - (212 + (-8)) / (-2 - (-50))", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (/ (+ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -4, \"c\": 212, \"d\": -8, \"e\": -2, \"f\": -50}", "seed": "14716442593999400413", "semantic_fingerprint": "sha256:273221b0adc6260834bb1df7c917bef2b4bb777a2c7bdc863e19dfd2b616a108", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005379", "prompt": "Calculate: (-8 - 31 / (-59 - (-251))) * (-5)", "solution_steps": ["Subtract: -59 - (-251) = 192", "Divide: 31 / 192 = 31/192", "Subtract: -8 - 31/192 = -1567/192", "Multiply: (-1567/192) * (-5) = 7835/192"], "final_answer": "7835/192", "answer_type": "rational", "kind": "expression", "math_text": "(-8 - 31 / (-59 - (-251))) * (-5)", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 31, \"c\": -59, \"d\": -251, \"e\": -5}", "seed": "7043130072019360303", "semantic_fingerprint": "sha256:6dc9a033edec6992f48ea62b0e39cc8489ce01e1309ae7e8c833ecc89061588a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005380", "prompt": "Calculate: -64 * (-72) + (-75 * (-8) + 104)", "solution_steps": ["Multiply: -64 * (-72) = 4608", "Multiply: -75 * (-8) = 600", "Add: 600 + 104 = 704", "Add: 4608 + 704 = 5312"], "final_answer": "5312", "answer_type": "integer", "kind": "expression", "math_text": "-64 * (-72) + (-75 * (-8) + 104)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": -72, \"c\": -75, \"d\": -8, \"e\": 104}", "seed": "578469317935351823", "semantic_fingerprint": "sha256:7827bbc66928e4a5bf9b8a0e8f91ba1d170660dc1299fb8d869c9c5e9929b58e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005381", "prompt": "Compute: -48 * (5 / 45) + (77 - (-194)) - (-2)", "solution_steps": ["Divide: 5 / 45 = 1/9", "Multiply: -48 * (1/9) = -16/3", "Subtract: 77 - (-194) = 271", "Add: -16/3 + 271 = 797/3", "Subtract: 797/3 - (-2) = 803/3"], "final_answer": "803/3", "answer_type": "rational", "kind": "expression", "math_text": "-48 * (5 / 45) + (77 - (-194)) - (-2)", "variable": null, "family": "expression_5op", "shape": "(- (+ (* n (/ n n)) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": 5, \"c\": 45, \"d\": 77, \"e\": -194, \"f\": -2}", "seed": "9159365519242401603", "semantic_fingerprint": "sha256:88cd55c9783e2d0bdbbb7f1e19d3cf8171eede0eb06f47de3797fed6393d7407", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005382", "prompt": "What value of x satisfies 12(x + 1) - 3 = x - 167?", "solution_steps": ["Expand: 12x + 12 - 3 = x - 167", "Combine constants: 12x + 9 = x - 167", "Subtract x from both sides: 11x + 9 = -167", "Subtract 9 from both sides: 11x = -176", "Divide both sides by 11: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 1) - 3 = x - 167", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 1, \"c\": 3, \"e\": -167, \"x\": -16}", "seed": "4944113571727508229", "semantic_fingerprint": "sha256:3e5bde0af76f133f3b20a146b687e7fc6bcaebbc91e7b4c6aba7cbbe8fcd3c16", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005383", "prompt": "Compute: (-2 - 913) / (7 * 293)", "solution_steps": ["Subtract: -2 - 913 = -915", "Multiply: 7 * 293 = 2051", "Divide: -915 / 2051 = -915/2051"], "final_answer": "-915/2051", "answer_type": "rational", "kind": "expression", "math_text": "(-2 - 913) / (7 * 293)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 913, \"c\": 7, \"d\": 293}", "seed": "16174242859998655674", "semantic_fingerprint": "sha256:e30daee461fbe83faa546bfd446c507b96886b99cbe412ce42bc8e9750c51506", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005384", "prompt": "Evaluate: 328 * (91 / 154 / 87)", "solution_steps": ["Divide: 91 / 154 = 13/22", "Divide: (13/22) / 87 = 13/1914", "Multiply: 328 * (13/1914) = 2132/957"], "final_answer": "2132/957", "answer_type": "rational", "kind": "expression", "math_text": "328 * (91 / 154 / 87)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 328, \"b\": 91, \"c\": 154, \"d\": 87}", "seed": "5634855992732297790", "semantic_fingerprint": "sha256:80ae12ffc2fcee4a330ebf38d6e63e4f831feb60a3b29dcb371bd6766d466cc0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005385", "prompt": "Solve for x: 5(x + 506) - 27 = x - 1", "solution_steps": ["Expand: 5x + 2530 - 27 = x - 1", "Combine constants: 5x + 2503 = x - 1", "Subtract x from both sides: 4x + 2503 = -1", "Subtract 2503 from both sides: 4x = -2504", "Divide both sides by 4: x = -626"], "final_answer": "-626", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 506) - 27 = x - 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 506, \"c\": 27, \"d\": 1}", "seed": "5469351575755053149", "semantic_fingerprint": "sha256:122d4eb75ebeacf50b5e3de5d5712233ed385d74e4aa1910979e451b04e10d41", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005386", "prompt": "Solve the equation 7(x + 18) - 532 = x - 514 for x.", "solution_steps": ["Expand: 7x + 126 - 532 = x - 514", "Combine constants: 7x - 406 = x - 514", "Subtract x from both sides: 6x - 406 = -514", "Add 406 to both sides: 6x = -108", "Divide both sides by 6: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 18) - 532 = x - 514", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 18, \"c\": 532, \"e\": -514, \"x\": -18}", "seed": "7108406440431648635", "semantic_fingerprint": "sha256:ae1ddf8a35edb2e36f9c459be06c830133594cc7b159c114f04c39bfe796faa3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005387", "prompt": "Compute: -5 / (-13 / (-431)) + (1 - 26)", "solution_steps": ["Divide: -13 / (-431) = 13/431", "Divide: -5 / (13/431) = -2155/13", "Subtract: 1 - 26 = -25", "Add: -2155/13 + (-25) = -2480/13"], "final_answer": "-2480/13", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-13 / (-431)) + (1 - 26)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -13, \"c\": -431, \"d\": 1, \"e\": 26}", "seed": "12654294689962833747", "semantic_fingerprint": "sha256:1978e09ecc80dacfd9015b2c926dcebe26389fb882d9ac42f7fa03f5f9f2a338", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005388", "prompt": "Evaluate: -244 * 3 / (-39) / (-3 / 6)", "solution_steps": ["Multiply: -244 * 3 = -732", "Divide: -732 / (-39) = 244/13", "Divide: -3 / 6 = -1/2", "Divide: (244/13) / (-1/2) = -488/13"], "final_answer": "-488/13", "answer_type": "rational", "kind": "expression", "math_text": "-244 * 3 / (-39) / (-3 / 6)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -244, \"b\": 3, \"c\": -39, \"d\": -3, \"e\": 6}", "seed": "9693416880640098533", "semantic_fingerprint": "sha256:ca54e8f2a37c639e734d3d4cbeb21d70b1bfe9c6847f7586fed7b8e34115d59c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005389", "prompt": "Compute: -701 - (-7 + (-56)) / (-369) / (-3)", "solution_steps": ["Add: -7 + (-56) = -63", "Divide: -63 / (-369) = 7/41", "Divide: (7/41) / (-3) = -7/123", "Subtract: -701 - (-7/123) = -86216/123"], "final_answer": "-86216/123", "answer_type": "rational", "kind": "expression", "math_text": "-701 - (-7 + (-56)) / (-369) / (-3)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (/ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -701, \"b\": -7, \"c\": -56, \"d\": -369, \"e\": -3}", "seed": "15027022142120762057", "semantic_fingerprint": "sha256:eca6532af9f66f7c64d138f4f3ff005ae0a43d5a81e640e0b2c7649b62805838", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005390", "prompt": "Solve the equation -10(x + 3) + 4 = 11(x + 9) - 377 for x.", "solution_steps": ["Expand: -10x - 30 + 4 = 11(x + 9) - 377", "Expand: -10x - 30 + 4 = 11x + 99 - 377", "Combine constants: -10x - 26 = 11x + 99 - 377", "Combine constants: -10x - 26 = 11x - 278", "Subtract 11x from both sides: -21x - 26 = -278", "Add 26 to both sides: -21x = -252", "Divide both sides by -21: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 3) + 4 = 11(x + 9) - 377", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 3, \"c\": 4, \"d\": 11, \"e\": 9, \"g\": -377, \"x\": 12}", "seed": "14130975330951473128", "semantic_fingerprint": "sha256:ccd7075923eb11dcaba0f9f018c2c4c7fdce1cb9f494208ef7606304cab8b81b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005391", "prompt": "What is 35 / (-753 - (-3) - (-96))?", "solution_steps": ["Subtract: -753 - (-3) = -750", "Subtract: -750 - (-96) = -654", "Divide: 35 / (-654) = -35/654"], "final_answer": "-35/654", "answer_type": "rational", "kind": "expression", "math_text": "35 / (-753 - (-3) - (-96))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -753, \"c\": -3, \"d\": -96}", "seed": "9675731861604161103", "semantic_fingerprint": "sha256:340321746c39f4a89735ea3afc32825422ffe1ed8a130cc75d0db15694ec6945", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005392", "prompt": "Solve for x: -5(x + 1) + 77 = 10(x + 5) - 38", "solution_steps": ["Expand: -5x - 5 + 77 = 10(x + 5) - 38", "Expand: -5x - 5 + 77 = 10x + 50 - 38", "Combine constants: -5x + 72 = 10x + 50 - 38", "Combine constants: -5x + 72 = 10x + 12", "Subtract 10x from both sides: -15x + 72 = 12", "Subtract 72 from both sides: -15x = -60", "Divide both sides by -15: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 1) + 77 = 10(x + 5) - 38", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 1, \"c\": 77, \"d\": 10, \"e\": 5, \"f\": 38}", "seed": "17864958162008815593", "semantic_fingerprint": "sha256:779fbf01a3b17168ebf50bbab375752dd229770a6bc09d0d0255046126d5c364", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005393", "prompt": "Calculate: 297 + (-98 - (7 * (-3) + (-358 - 712)))", "solution_steps": ["Multiply: 7 * (-3) = -21", "Subtract: -358 - 712 = -1070", "Add: -21 + (-1070) = -1091", "Subtract: -98 - (-1091) = 993", "Add: 297 + 993 = 1290"], "final_answer": "1290", "answer_type": "integer", "kind": "expression", "math_text": "297 + (-98 - (7 * (-3) + (-358 - 712)))", "variable": null, "family": "expression_5op", "shape": "(+ n (- n (+ (* n n) (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 297, \"b\": -98, \"c\": 7, \"d\": -3, \"e\": -358, \"f\": 712}", "seed": "7574247034076458798", "semantic_fingerprint": "sha256:8cd2b16bc02212c7046c16129d66401c5226aec002db04f11838100417376b5e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005394", "prompt": "What value of x satisfies 3(x + 498) - 93 = x - 450?", "solution_steps": ["Expand: 3x + 1494 - 93 = x - 450", "Combine constants: 3x + 1401 = x - 450", "Subtract x from both sides: 2x + 1401 = -450", "Subtract 1401 from both sides: 2x = -1851", "Divide both sides by 2: x = -1851/2"], "final_answer": "-1851/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 498) - 93 = x - 450", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 498, \"c\": 93, \"d\": 450}", "seed": "2867326027929441893", "semantic_fingerprint": "sha256:c9d04d4cb04e843bde976f53824cff335e98d9182e81561e92b86f6c04038674", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005395", "prompt": "What value of x satisfies -4x - 75 = -11(x + 745) + 830?", "solution_steps": ["Expand: -4x - 75 = -11x - 8195 + 830", "Combine constants: -4x - 75 = -11x - 7365", "Add 11x to both sides: 7x - 75 = -7365", "Add 75 to both sides: 7x = -7290", "Divide both sides by 7: x = -7290/7"], "final_answer": "-7290/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x - 75 = -11(x + 745) + 830", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 75, \"c\": -11, \"d\": 745, \"e\": 830}", "seed": "7069209445392435031", "semantic_fingerprint": "sha256:e918bd3d941d1ed7743827563bfd1132aa9d988a94fe33323d8ea8fbfab7635b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005396", "prompt": "Solve for x: -2(x - 1) + 3 = 5x + 5", "solution_steps": ["Expand: -2x + 2 + 3 = 5x + 5", "Combine constants: -2x + 5 = 5x + 5", "Subtract 5x from both sides: -7x + 5 = 5", "Subtract 5 from both sides: -7x = 0", "Divide both sides by -7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 1) + 3 = 5x + 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 1, \"c\": 3, \"d\": 5, \"e\": 5}", "seed": "17730584968081508146", "semantic_fingerprint": "sha256:3a6f408f627037aef37a54a690b0495e28b36b0275ad82323b139ed3a3c8fc8f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005397", "prompt": "Find x: 11(x - 1) + 38 = -11x + 225", "solution_steps": ["Expand: 11x - 11 + 38 = -11x + 225", "Combine constants: 11x + 27 = -11x + 225", "Add 11x to both sides: 22x + 27 = 225", "Subtract 27 from both sides: 22x = 198", "Divide both sides by 22: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 1) + 38 = -11x + 225", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 1, \"c\": 38, \"d\": -11, \"f\": 225, \"x\": 9}", "seed": "15763053077119402861", "semantic_fingerprint": "sha256:de95ff0e1de8bfb1739c4669722efc1992ea8073c31fb85a314d16f5c1c89cc9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005398", "prompt": "Calculate: 47 / (-4 - 9 + (-54) / 9) / (-67)", "solution_steps": ["Subtract: -4 - 9 = -13", "Divide: -54 / 9 = -6", "Add: -13 + (-6) = -19", "Divide: 47 / (-19) = -47/19", "Divide: (-47/19) / (-67) = 47/1273"], "final_answer": "47/1273", "answer_type": "rational", "kind": "expression", "math_text": "47 / (-4 - 9 + (-54) / 9) / (-67)", "variable": null, "family": "expression_5op", "shape": "(/ (/ n (+ (- n n) (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": -4, \"c\": 9, \"d\": -54, \"e\": 9, \"f\": -67}", "seed": "2314683568198362533", "semantic_fingerprint": "sha256:a3d42d97fd55e747039b15e748fc138149ff229508856febe96fe86889e852c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005399", "prompt": "Compute: (-9 * 97 + 151) * (-19)", "solution_steps": ["Multiply: -9 * 97 = -873", "Add: -873 + 151 = -722", "Multiply: -722 * (-19) = 13718"], "final_answer": "13718", "answer_type": "integer", "kind": "expression", "math_text": "(-9 * 97 + 151) * (-19)", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 97, \"c\": 151, \"d\": -19}", "seed": "2878556671363680049", "semantic_fingerprint": "sha256:17145975b8d5d28ee929a4a645415a94ac1d1229efa0a75cb0517c0b3808fa51", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005400", "prompt": "Compute: -1 * 21 + (-30 * 0 + (-42))", "solution_steps": ["Multiply: -1 * 21 = -21", "Multiply: -30 * 0 = 0", "Add: 0 + (-42) = -42", "Add: -21 + (-42) = -63"], "final_answer": "-63", "answer_type": "integer", "kind": "expression", "math_text": "-1 * 21 + (-30 * 0 + (-42))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 21, \"c\": -30, \"d\": 0, \"e\": -42}", "seed": "11488376872187621167", "semantic_fingerprint": "sha256:b7c4f6691e1d3350f05380be3e4b9c0cb086522e7ab070f102334d4d83650592", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005401", "prompt": "Evaluate: -250 + (-5) - (-693) * 130 - 380", "solution_steps": ["Add: -250 + (-5) = -255", "Multiply: -693 * 130 = -90090", "Subtract: -255 - (-90090) = 89835", "Subtract: 89835 - 380 = 89455"], "final_answer": "89455", "answer_type": "integer", "kind": "expression", "math_text": "-250 + (-5) - (-693) * 130 - 380", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -250, \"b\": -5, \"c\": -693, \"d\": 130, \"e\": 380}", "seed": "14179746791525699894", "semantic_fingerprint": "sha256:82a5249abb51139089a143976067db19ed005e68b393f2b6883c30b9a5f49870", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005402", "prompt": "Evaluate: 7 - 11 * (-80 - (-8)) + (-324 + 182)", "solution_steps": ["Subtract: -80 - (-8) = -72", "Multiply: 11 * (-72) = -792", "Subtract: 7 - (-792) = 799", "Add: -324 + 182 = -142", "Add: 799 + (-142) = 657"], "final_answer": "657", "answer_type": "integer", "kind": "expression", "math_text": "7 - 11 * (-80 - (-8)) + (-324 + 182)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (* n (- n n))) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 11, \"c\": -80, \"d\": -8, \"e\": -324, \"f\": 182}", "seed": "12756994501027007175", "semantic_fingerprint": "sha256:f27be212e529eaa38c24e87a0951ca99545f35a408f0eb84bc57ac719e5f0c85", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005403", "prompt": "Find x: -7(x + 17) + 31 = 12(x + 1) - 5", "solution_steps": ["Expand: -7x - 119 + 31 = 12(x + 1) - 5", "Expand: -7x - 119 + 31 = 12x + 12 - 5", "Combine constants: -7x - 88 = 12x + 12 - 5", "Combine constants: -7x - 88 = 12x + 7", "Subtract 12x from both sides: -19x - 88 = 7", "Add 88 to both sides: -19x = 95", "Divide both sides by -19: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 17) + 31 = 12(x + 1) - 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 17, \"c\": 31, \"d\": 12, \"e\": 1, \"f\": 5}", "seed": "4717403043900949939", "semantic_fingerprint": "sha256:13c94f7b1e718f1946a451b1f7616d966505705d8a39be65a05c5c69bbd06107", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005404", "prompt": "Compute: (-669 + (-9)) / (717 / (-52))", "solution_steps": ["Add: -669 + (-9) = -678", "Divide: 717 / (-52) = -717/52", "Divide: -678 / (-717/52) = 11752/239"], "final_answer": "11752/239", "answer_type": "rational", "kind": "expression", "math_text": "(-669 + (-9)) / (717 / (-52))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -669, \"b\": -9, \"c\": 717, \"d\": -52}", "seed": "10668950874488242587", "semantic_fingerprint": "sha256:1628257633e61353d7dfd0b5c3e3ed940b14116ed8597ebe5fd9da59d797b399", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005405", "prompt": "What value of x satisfies -3(x - 2) + 459 = -7(x - 67)?", "solution_steps": ["Expand: -3x + 6 + 459 = -7(x - 67)", "Expand: -3x + 6 + 459 = -7x + 469", "Combine constants: -3x + 465 = -7x + 469", "Add 7x to both sides: 4x + 465 = 469", "Subtract 465 from both sides: 4x = 4", "Divide both sides by 4: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 2) + 459 = -7(x - 67)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 2, \"c\": -7, \"d\": 67, \"f\": 459, \"x\": 1}", "seed": "15320311824074312792", "semantic_fingerprint": "sha256:cb0e014f0d028caef568001ff0dadef08c29d6f616137311c7a85cd0c63c5391", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005406", "prompt": "What is 14 * 1 - (455 - (-6)) * 7?", "solution_steps": ["Multiply: 14 * 1 = 14", "Subtract: 455 - (-6) = 461", "Multiply: 461 * 7 = 3227", "Subtract: 14 - 3227 = -3213"], "final_answer": "-3213", "answer_type": "integer", "kind": "expression", "math_text": "14 * 1 - (455 - (-6)) * 7", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 1, \"c\": 455, \"d\": -6, \"e\": 7}", "seed": "1676707190616368396", "semantic_fingerprint": "sha256:d45ef85df664507a90b1950212be9a63389f8dc34c990694492445dc2ecb083b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005407", "prompt": "Calculate: 70 + (-10) * (-1) - 66 - (-50) + 2", "solution_steps": ["Multiply: -10 * (-1) = 10", "Add: 70 + 10 = 80", "Subtract: 80 - 66 = 14", "Subtract: 14 - (-50) = 64", "Add: 64 + 2 = 66"], "final_answer": "66", "answer_type": "integer", "kind": "expression", "math_text": "70 + (-10) * (-1) - 66 - (-50) + 2", "variable": null, "family": "expression_5op", "shape": "(+ (- (- (+ n (* n n)) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -10, \"c\": -1, \"d\": 66, \"e\": -50, \"f\": 2}", "seed": "1743173621094654545", "semantic_fingerprint": "sha256:0b07ce5b58baf840cf4d4388515d43d0e5641652da9fb9092dce69ef9093d656", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005408", "prompt": "What value of x satisfies 4(x + 66) + 415 = 9(x + 98) - 31?", "solution_steps": ["Expand: 4x + 264 + 415 = 9(x + 98) - 31", "Expand: 4x + 264 + 415 = 9x + 882 - 31", "Combine constants: 4x + 679 = 9x + 882 - 31", "Combine constants: 4x + 679 = 9x + 851", "Subtract 9x from both sides: -5x + 679 = 851", "Subtract 679 from both sides: -5x = 172", "Divide both sides by -5: x = -172/5"], "final_answer": "-172/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 66) + 415 = 9(x + 98) - 31", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 66, \"c\": 415, \"d\": 9, \"e\": 98, \"f\": 31}", "seed": "8888923823654274353", "semantic_fingerprint": "sha256:fd104cde7608a7f035d3e83088aa03adb77e1a32ef687271f71561e2b581bbe3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005409", "prompt": "Compute: (-93 - 51) * (-60 * 0)", "solution_steps": ["Subtract: -93 - 51 = -144", "Multiply: -60 * 0 = 0", "Multiply: -144 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-93 - 51) * (-60 * 0)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": 51, \"c\": -60, \"d\": 0}", "seed": "5576944589824778176", "semantic_fingerprint": "sha256:d5d439e6fc48843de4c14c9a8593839589b943047a3d8e4bba348f5e45119f4f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005410", "prompt": "What is (7 - (-94)) * (706 / 8)?", "solution_steps": ["Subtract: 7 - (-94) = 101", "Divide: 706 / 8 = 353/4", "Multiply: 101 * (353/4) = 35653/4"], "final_answer": "35653/4", "answer_type": "rational", "kind": "expression", "math_text": "(7 - (-94)) * (706 / 8)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -94, \"c\": 706, \"d\": 8}", "seed": "2357574795540053240", "semantic_fingerprint": "sha256:fba07e70ab0a720a93ee6045993e834765657dceb1264bc22c7a931209373ef5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005411", "prompt": "Compute: 4 * 13 / 97 / (-56)", "solution_steps": ["Multiply: 4 * 13 = 52", "Divide: 52 / 97 = 52/97", "Divide: (52/97) / (-56) = -13/1358"], "final_answer": "-13/1358", "answer_type": "rational", "kind": "expression", "math_text": "4 * 13 / 97 / (-56)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 13, \"c\": 97, \"d\": -56}", "seed": "8986589092396757495", "semantic_fingerprint": "sha256:26d59344ce757337ddefe5a24cd7799f4e7008d071a14d1e82f7b511d5bcac7a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005412", "prompt": "Calculate: -697 / (-29 / (84 * 5))", "solution_steps": ["Multiply: 84 * 5 = 420", "Divide: -29 / 420 = -29/420", "Divide: -697 / (-29/420) = 292740/29"], "final_answer": "292740/29", "answer_type": "rational", "kind": "expression", "math_text": "-697 / (-29 / (84 * 5))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -697, \"b\": -29, \"c\": 84, \"d\": 5}", "seed": "13494524886003164854", "semantic_fingerprint": "sha256:4b98c4ff995b896b85ad4cf9f6d7795ab2129131708d9f32260e47acc88e19b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005413", "prompt": "Calculate: 98 + (-3) - (-17) / (92 - (-8))", "solution_steps": ["Add: 98 + (-3) = 95", "Subtract: 92 - (-8) = 100", "Divide: -17 / 100 = -17/100", "Subtract: 95 - (-17/100) = 9517/100"], "final_answer": "9517/100", "answer_type": "rational", "kind": "expression", "math_text": "98 + (-3) - (-17) / (92 - (-8))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": -3, \"c\": -17, \"d\": 92, \"e\": -8}", "seed": "6847310551865530516", "semantic_fingerprint": "sha256:7d1846d7582e9195d81eb1836b866a9bc15eeeedaf31fe45076c45b260a2ff04", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005414", "prompt": "Evaluate: -87 * 9 / 875 / (1 / 7)", "solution_steps": ["Multiply: -87 * 9 = -783", "Divide: -783 / 875 = -783/875", "Divide: 1 / 7 = 1/7", "Divide: (-783/875) / (1/7) = -783/125"], "final_answer": "-783/125", "answer_type": "rational", "kind": "expression", "math_text": "-87 * 9 / 875 / (1 / 7)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": 9, \"c\": 875, \"d\": 1, \"e\": 7}", "seed": "17960028984777227998", "semantic_fingerprint": "sha256:17abd011f572faf92c1ea9e0a2ed2a7ff4cd09f34f421f419c2f96f251b3458a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005415", "prompt": "Solve the equation 12(x + 98) - 9 = x - 882 for x.", "solution_steps": ["Expand: 12x + 1176 - 9 = x - 882", "Combine constants: 12x + 1167 = x - 882", "Subtract x from both sides: 11x + 1167 = -882", "Subtract 1167 from both sides: 11x = -2049", "Divide both sides by 11: x = -2049/11"], "final_answer": "-2049/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 98) - 9 = x - 882", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 98, \"c\": 9, \"d\": 882}", "seed": "10902885738161053662", "semantic_fingerprint": "sha256:01b39bca227c673318ee0bc41ee945b6836e076a01f3b1e07911c5813ae8b361", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005416", "prompt": "Evaluate: 663 - (-6) - 69 * (0 * (-5) - 74)", "solution_steps": ["Subtract: 663 - (-6) = 669", "Multiply: 0 * (-5) = 0", "Subtract: 0 - 74 = -74", "Multiply: 69 * (-74) = -5106", "Subtract: 669 - (-5106) = 5775"], "final_answer": "5775", "answer_type": "integer", "kind": "expression", "math_text": "663 - (-6) - 69 * (0 * (-5) - 74)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (* n (- (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 663, \"b\": -6, \"c\": 69, \"d\": 0, \"e\": -5, \"f\": 74}", "seed": "8511259303627628798", "semantic_fingerprint": "sha256:a677c1fbc3eeb5efc55fa9cf49c53c7c147fb27e85b92a93ba3663057ecff5d1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005417", "prompt": "What value of x satisfies 12(x - 1) - 45 = 11(x - 673) - 61?", "solution_steps": ["Expand: 12x - 12 - 45 = 11(x - 673) - 61", "Expand: 12x - 12 - 45 = 11x - 7403 - 61", "Combine constants: 12x - 57 = 11x - 7403 - 61", "Combine constants: 12x - 57 = 11x - 7464", "Subtract 11x from both sides: x - 57 = -7464", "Add 57 to both sides: x = -7407"], "final_answer": "-7407", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 1) - 45 = 11(x - 673) - 61", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 1, \"c\": 45, \"d\": 11, \"e\": 673, \"f\": 61}", "seed": "4775504916596060563", "semantic_fingerprint": "sha256:a9dabc860c630fd3cb9051f67f2c3f03a43125360b1b07702c9fd0248f9af3fb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005418", "prompt": "Find x: 5(x - 3) + 83 = -3(x + 7) - 63", "solution_steps": ["Expand: 5x - 15 + 83 = -3(x + 7) - 63", "Expand: 5x - 15 + 83 = -3x - 21 - 63", "Combine constants: 5x + 68 = -3x - 21 - 63", "Combine constants: 5x + 68 = -3x - 84", "Add 3x to both sides: 8x + 68 = -84", "Subtract 68 from both sides: 8x = -152", "Divide both sides by 8: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 3) + 83 = -3(x + 7) - 63", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 83, \"d\": -3, \"e\": 7, \"g\": -63, \"x\": -19}", "seed": "14821730735820871403", "semantic_fingerprint": "sha256:d836044cfecf4abf85daf0d6a4f97a0936f02dde51ce1dc6aae8fece31d53967", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005419", "prompt": "Solve for x: 6(x - 96) = -8x - 674", "solution_steps": ["Expand: 6x - 576 = -8x - 674", "Add 8x to both sides: 14x - 576 = -674", "Add 576 to both sides: 14x = -98", "Divide both sides by 14: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 96) = -8x - 674", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 96, \"c\": -8, \"e\": -674, \"x\": -7}", "seed": "7761563129277062013", "semantic_fingerprint": "sha256:bd89733ac8a6630d2e79b477c90e2eba67a24b52a6169072c0c3dda41b3762b9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005420", "prompt": "Evaluate: (425 + (-5)) / (-1 / (-2))", "solution_steps": ["Add: 425 + (-5) = 420", "Divide: -1 / (-2) = 1/2", "Divide: 420 / (1/2) = 840"], "final_answer": "840", "answer_type": "integer", "kind": "expression", "math_text": "(425 + (-5)) / (-1 / (-2))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 425, \"b\": -5, \"c\": -1, \"d\": -2}", "seed": "7892095689067058646", "semantic_fingerprint": "sha256:6ccb6c34dcb7e65d52423717aa04226fe5b37d003946bbfbe408ce70a2859bbb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005421", "prompt": "What is (36 * 79 - 4) / (-27 / 2)?", "solution_steps": ["Multiply: 36 * 79 = 2844", "Subtract: 2844 - 4 = 2840", "Divide: -27 / 2 = -27/2", "Divide: 2840 / (-27/2) = -5680/27"], "final_answer": "-5680/27", "answer_type": "rational", "kind": "expression", "math_text": "(36 * 79 - 4) / (-27 / 2)", "variable": null, "family": "expression_4op", "shape": "(/ (- (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": 79, \"c\": 4, \"d\": -27, \"e\": 2}", "seed": "4794542225330247216", "semantic_fingerprint": "sha256:b3eee78f0e930428349b764e064a39add88bf4d8c4c6b26d32db01699af65c46", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005422", "prompt": "What value of x satisfies 7(x - 4) + 85 = 10x + 96?", "solution_steps": ["Expand: 7x - 28 + 85 = 10x + 96", "Combine constants: 7x + 57 = 10x + 96", "Subtract 10x from both sides: -3x + 57 = 96", "Subtract 57 from both sides: -3x = 39", "Divide both sides by -3: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 4) + 85 = 10x + 96", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 85, \"d\": 10, \"f\": 96, \"x\": -13}", "seed": "15860981867893234895", "semantic_fingerprint": "sha256:310b3fb5e99dc39bfb919512013a9d9f1116831aa4397275571726f1ecd97cf1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005423", "prompt": "What is 0 + 476 + (-252 * 90 / (-6) - 7)?", "solution_steps": ["Add: 0 + 476 = 476", "Multiply: -252 * 90 = -22680", "Divide: -22680 / (-6) = 3780", "Subtract: 3780 - 7 = 3773", "Add: 476 + 3773 = 4249"], "final_answer": "4249", "answer_type": "integer", "kind": "expression", "math_text": "0 + 476 + (-252 * 90 / (-6) - 7)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- (/ (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 476, \"c\": -252, \"d\": 90, \"e\": -6, \"f\": 7}", "seed": "12004780287899826221", "semantic_fingerprint": "sha256:2978388095ab84a03f2ffa667904c723be0572aab65d710f889a43defaabdaf9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005424", "prompt": "Calculate: (-44 - (-28) + (-544) * (-16)) * (-1 * (-45))", "solution_steps": ["Subtract: -44 - (-28) = -16", "Multiply: -544 * (-16) = 8704", "Add: -16 + 8704 = 8688", "Multiply: -1 * (-45) = 45", "Multiply: 8688 * 45 = 390960"], "final_answer": "390960", "answer_type": "integer", "kind": "expression", "math_text": "(-44 - (-28) + (-544) * (-16)) * (-1 * (-45))", "variable": null, "family": "expression_5op", "shape": "(* (+ (- n n) (* n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -28, \"c\": -544, \"d\": -16, \"e\": -1, \"f\": -45}", "seed": "16227102700605368086", "semantic_fingerprint": "sha256:23ea04f2908852153a42d108a6cabcc50782926e5e81ec6550f242ec62444254", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005425", "prompt": "Compute: 0 - (-79 - (-54)) + (-87 + 0 + (-4))", "solution_steps": ["Subtract: -79 - (-54) = -25", "Subtract: 0 - (-25) = 25", "Add: -87 + 0 = -87", "Add: -87 + (-4) = -91", "Add: 25 + (-91) = -66"], "final_answer": "-66", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-79 - (-54)) + (-87 + 0 + (-4))", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -79, \"c\": -54, \"d\": -87, \"e\": 0, \"f\": -4}", "seed": "2019184050597936652", "semantic_fingerprint": "sha256:02377ba6cd3e8ae932cb42e45a9aaf9f9685d24c18f0de6678fc8a7c66ca5565", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005426", "prompt": "What value of x satisfies 3(x - 88) + 8 = -5(x - 5)?", "solution_steps": ["Expand: 3x - 264 + 8 = -5(x - 5)", "Expand: 3x - 264 + 8 = -5x + 25", "Combine constants: 3x - 256 = -5x + 25", "Add 5x to both sides: 8x - 256 = 25", "Add 256 to both sides: 8x = 281", "Divide both sides by 8: x = 281/8"], "final_answer": "281/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 88) + 8 = -5(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 88, \"c\": 8, \"d\": -5, \"e\": 5}", "seed": "1950536590177936560", "semantic_fingerprint": "sha256:5e09fbff13f73f732ae55a79d9a6dc4146b243f75bc11bc33ca745ba67be1c3c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005427", "prompt": "Compute: 67 / (-9) / (551 + (3 - 2 * 22))", "solution_steps": ["Divide: 67 / (-9) = -67/9", "Multiply: 2 * 22 = 44", "Subtract: 3 - 44 = -41", "Add: 551 + (-41) = 510", "Divide: (-67/9) / 510 = -67/4590"], "final_answer": "-67/4590", "answer_type": "rational", "kind": "expression", "math_text": "67 / (-9) / (551 + (3 - 2 * 22))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n n) (+ n (- n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -9, \"c\": 551, \"d\": 3, \"e\": 2, \"f\": 22}", "seed": "13329678453702099093", "semantic_fingerprint": "sha256:8b1502534f0294c0211337fa31743fa8f424cde33ee1a2be5b84be7706d25b99", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005428", "prompt": "Find x: 4(x - 8) - 38 = -4(x - 50) - 270", "solution_steps": ["Expand: 4x - 32 - 38 = -4(x - 50) - 270", "Expand: 4x - 32 - 38 = -4x + 200 - 270", "Combine constants: 4x - 70 = -4x + 200 - 270", "Combine constants: 4x - 70 = -4x - 70", "Add 4x to both sides: 8x - 70 = -70", "Add 70 to both sides: 8x = 0", "Divide both sides by 8: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 8) - 38 = -4(x - 50) - 270", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": 38, \"d\": -4, \"e\": 50, \"g\": -270, \"x\": 0}", "seed": "14769938112909564658", "semantic_fingerprint": "sha256:c353f1c5974961a88fc44c7356fe58d7f86bf7899ea23ba603a18b92c42d13f1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005429", "prompt": "Calculate: (-68 + (-885)) * (-6) / 9 * 996", "solution_steps": ["Add: -68 + (-885) = -953", "Multiply: -953 * (-6) = 5718", "Divide: 5718 / 9 = 1906/3", "Multiply: (1906/3) * 996 = 632792"], "final_answer": "632792", "answer_type": "integer", "kind": "expression", "math_text": "(-68 + (-885)) * (-6) / 9 * 996", "variable": null, "family": "expression_4op", "shape": "(* (/ (* (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -885, \"c\": -6, \"d\": 9, \"e\": 996}", "seed": "12557875744256902877", "semantic_fingerprint": "sha256:912ecd2e1f4bad0e0dedecdb903c46630ad194a41981a2379ade6216b3f384dc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005430", "prompt": "Compute: (8 - 56) * (8 / (-15) / (-61))", "solution_steps": ["Subtract: 8 - 56 = -48", "Divide: 8 / (-15) = -8/15", "Divide: (-8/15) / (-61) = 8/915", "Multiply: -48 * (8/915) = -128/305"], "final_answer": "-128/305", "answer_type": "rational", "kind": "expression", "math_text": "(8 - 56) * (8 / (-15) / (-61))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 56, \"c\": 8, \"d\": -15, \"e\": -61}", "seed": "1972219066699838834", "semantic_fingerprint": "sha256:bd21c62924fe220debe52885c40d29032f2f4fb0c756dff2fc7000b59363c472", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005431", "prompt": "What is -466 - (8 / 60 + (-2)) + 441?", "solution_steps": ["Divide: 8 / 60 = 2/15", "Add: 2/15 + (-2) = -28/15", "Subtract: -466 - (-28/15) = -6962/15", "Add: -6962/15 + 441 = -347/15"], "final_answer": "-347/15", "answer_type": "rational", "kind": "expression", "math_text": "-466 - (8 / 60 + (-2)) + 441", "variable": null, "family": "expression_4op", "shape": "(+ (- n (+ (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -466, \"b\": 8, \"c\": 60, \"d\": -2, \"e\": 441}", "seed": "358267785136813050", "semantic_fingerprint": "sha256:496d1541dcfb5f76320e921f34e6acd3df2616cacd8a2907155a7c49e5bcf1a2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005432", "prompt": "Compute: 17 / (580 / (29 * 5))", "solution_steps": ["Multiply: 29 * 5 = 145", "Divide: 580 / 145 = 4", "Divide: 17 / 4 = 17/4"], "final_answer": "17/4", "answer_type": "rational", "kind": "expression", "math_text": "17 / (580 / (29 * 5))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": 580, \"c\": 29, \"d\": 5}", "seed": "11115952470178055530", "semantic_fingerprint": "sha256:25c4849e584065fb0c84837b086a4d6bed04a0c0908e0a0a2c38935a187db700", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005433", "prompt": "Evaluate: (-5 - (-7)) * (6 / (-291))", "solution_steps": ["Subtract: -5 - (-7) = 2", "Divide: 6 / (-291) = -2/97", "Multiply: 2 * (-2/97) = -4/97"], "final_answer": "-4/97", "answer_type": "rational", "kind": "expression", "math_text": "(-5 - (-7)) * (6 / (-291))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -7, \"c\": 6, \"d\": -291}", "seed": "17526320385336046479", "semantic_fingerprint": "sha256:7e4b9ae7f16bf6de8c8aff04eb0c21cd68121e2c17ba0245ccff1d66b6871c3b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005434", "prompt": "Evaluate: (814 - (-9)) * (-483 / 914)", "solution_steps": ["Subtract: 814 - (-9) = 823", "Divide: -483 / 914 = -483/914", "Multiply: 823 * (-483/914) = -397509/914"], "final_answer": "-397509/914", "answer_type": "rational", "kind": "expression", "math_text": "(814 - (-9)) * (-483 / 914)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 814, \"b\": -9, \"c\": -483, \"d\": 914}", "seed": "3542995083256274226", "semantic_fingerprint": "sha256:745955691bf88031d1a15d88f6fc30ff56c1669abb293543c9838388e09e5913", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005435", "prompt": "Find x: 12(x + 853) - 9 = x - 1", "solution_steps": ["Expand: 12x + 10236 - 9 = x - 1", "Combine constants: 12x + 10227 = x - 1", "Subtract x from both sides: 11x + 10227 = -1", "Subtract 10227 from both sides: 11x = -10228", "Divide both sides by 11: x = -10228/11"], "final_answer": "-10228/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 853) - 9 = x - 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 853, \"c\": 9, \"d\": 1}", "seed": "6478397112947919888", "semantic_fingerprint": "sha256:b0e0d9f04329ed7c27981958747a6f4620ad880358225feb95711da40ea14c99", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005436", "prompt": "Evaluate: (-9 + 153) / (661 / 5)", "solution_steps": ["Add: -9 + 153 = 144", "Divide: 661 / 5 = 661/5", "Divide: 144 / (661/5) = 720/661"], "final_answer": "720/661", "answer_type": "rational", "kind": "expression", "math_text": "(-9 + 153) / (661 / 5)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 153, \"c\": 661, \"d\": 5}", "seed": "4218682390065107264", "semantic_fingerprint": "sha256:116ca57abf029696597840a74b8b1d741525a8fcd0b4c64d7edaa0b511f23dc9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005437", "prompt": "Compute: 9 / (48 - (-97) - (-270))", "solution_steps": ["Subtract: 48 - (-97) = 145", "Subtract: 145 - (-270) = 415", "Divide: 9 / 415 = 9/415"], "final_answer": "9/415", "answer_type": "rational", "kind": "expression", "math_text": "9 / (48 - (-97) - (-270))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 48, \"c\": -97, \"d\": -270}", "seed": "13619263155571073985", "semantic_fingerprint": "sha256:f01603bedc1dee8c539f2becee0d0f9afd2e6040f2c5404903e9f53523c6a851", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005438", "prompt": "What value of x satisfies x - 52 = 11(x - 8) + 48?", "solution_steps": ["Expand: x - 52 = 11x - 88 + 48", "Combine constants: x - 52 = 11x - 40", "Subtract 11x from both sides: -10x - 52 = -40", "Add 52 to both sides: -10x = 12", "Divide both sides by -10: x = -6/5"], "final_answer": "-6/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 52 = 11(x - 8) + 48", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": 11, \"c\": 8, \"d\": 48}", "seed": "7236508816104835170", "semantic_fingerprint": "sha256:fe55dcecc8ef85f3bbb07e0b1a595f55ce85a9297426b685aa8ff38c885a69d6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005439", "prompt": "Calculate: 73 / (-758 * (-4)) - (-24)", "solution_steps": ["Multiply: -758 * (-4) = 3032", "Divide: 73 / 3032 = 73/3032", "Subtract: 73/3032 - (-24) = 72841/3032"], "final_answer": "72841/3032", "answer_type": "rational", "kind": "expression", "math_text": "73 / (-758 * (-4)) - (-24)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -758, \"c\": -4, \"d\": -24}", "seed": "10444513035407835792", "semantic_fingerprint": "sha256:1b2002b7295bc423a5589c3441cc62b98df65d6c97be5917d8a23b17d1ba358f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005440", "prompt": "Solve for x: -3(x + 167) - 697 = x - 34", "solution_steps": ["Expand: -3x - 501 - 697 = x - 34", "Combine constants: -3x - 1198 = x - 34", "Subtract x from both sides: -4x - 1198 = -34", "Add 1198 to both sides: -4x = 1164", "Divide both sides by -4: x = -291"], "final_answer": "-291", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 167) - 697 = x - 34", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 167, \"c\": 697, \"d\": 34}", "seed": "5424533083546405850", "semantic_fingerprint": "sha256:07365b5c3d16d57cc08bc9a68b799069dbbb35ad3575580938ed8773680de4d3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005441", "prompt": "Evaluate: (75 - (-8) / 6) / 689", "solution_steps": ["Divide: -8 / 6 = -4/3", "Subtract: 75 - (-4/3) = 229/3", "Divide: (229/3) / 689 = 229/2067"], "final_answer": "229/2067", "answer_type": "rational", "kind": "expression", "math_text": "(75 - (-8) / 6) / 689", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -8, \"c\": 6, \"d\": 689}", "seed": "7488207714519124669", "semantic_fingerprint": "sha256:e65b6da63b38f54608fcff459ef3486cffe9ee860a9cfd9e565107ea7de10896", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005442", "prompt": "What is -6 - (-1) * (-458) - (-5)?", "solution_steps": ["Multiply: -1 * (-458) = 458", "Subtract: -6 - 458 = -464", "Subtract: -464 - (-5) = -459"], "final_answer": "-459", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (-1) * (-458) - (-5)", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -1, \"c\": -458, \"d\": -5}", "seed": "5561080304668518763", "semantic_fingerprint": "sha256:dc71c830b2e2f8746e85f91b3a42bb2a541e396910d4f9c020281eb0532fec06", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005443", "prompt": "Solve the equation 6(x - 74) = -6x - 384 for x.", "solution_steps": ["Expand: 6x - 444 = -6x - 384", "Add 6x to both sides: 12x - 444 = -384", "Add 444 to both sides: 12x = 60", "Divide both sides by 12: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 74) = -6x - 384", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 74, \"c\": -6, \"e\": -384, \"x\": 5}", "seed": "11105001688847648728", "semantic_fingerprint": "sha256:ef6b41ef00a624fbd37314067814f401492db08caa60b5c3d11e918943cedffe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005444", "prompt": "What is (5 + 39 - (-9)) * (6 + 545)?", "solution_steps": ["Add: 5 + 39 = 44", "Subtract: 44 - (-9) = 53", "Add: 6 + 545 = 551", "Multiply: 53 * 551 = 29203"], "final_answer": "29203", "answer_type": "integer", "kind": "expression", "math_text": "(5 + 39 - (-9)) * (6 + 545)", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 39, \"c\": -9, \"d\": 6, \"e\": 545}", "seed": "2239936788980712631", "semantic_fingerprint": "sha256:82826ce49d915ac31fbd1ecb56590116b8fe3e39aef561d466b936f842414815", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005445", "prompt": "Solve the equation 5(x - 5) = 6x - 578 for x.", "solution_steps": ["Expand: 5x - 25 = 6x - 578", "Subtract 6x from both sides: -x - 25 = -578", "Add 25 to both sides: -x = -553", "Divide both sides by -1: x = 553"], "final_answer": "553", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 5) = 6x - 578", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 5, \"c\": 6, \"d\": 578}", "seed": "2488081990911172817", "semantic_fingerprint": "sha256:9f815072b97c974282c27b4a04778603bd22fb4777d66a05cea4dfdac34dbbfb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005446", "prompt": "Solve for x: x - 1 = 4(x - 8) + 13", "solution_steps": ["Expand: x - 1 = 4x - 32 + 13", "Combine constants: x - 1 = 4x - 19", "Subtract 4x from both sides: -3x - 1 = -19", "Add 1 to both sides: -3x = -18", "Divide both sides by -3: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1 = 4(x - 8) + 13", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 4, \"c\": 8, \"e\": 13, \"x\": 6}", "seed": "5863595422092945088", "semantic_fingerprint": "sha256:7af1cbaef7bea4f17c4a6749bcdf53b919144e4319160ae5097086635ceed8cf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005447", "prompt": "Calculate: 33 * (452 - 44 + 423)", "solution_steps": ["Subtract: 452 - 44 = 408", "Add: 408 + 423 = 831", "Multiply: 33 * 831 = 27423"], "final_answer": "27423", "answer_type": "integer", "kind": "expression", "math_text": "33 * (452 - 44 + 423)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 452, \"c\": 44, \"d\": 423}", "seed": "17844762798318560253", "semantic_fingerprint": "sha256:5551f5365f074f07025962a3ecc20975f1d99d0c845caa69800538775a2c72cd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005448", "prompt": "Solve the equation -4(x + 334) + 195 = 11(x + 3) - 58 for x.", "solution_steps": ["Expand: -4x - 1336 + 195 = 11(x + 3) - 58", "Expand: -4x - 1336 + 195 = 11x + 33 - 58", "Combine constants: -4x - 1141 = 11x + 33 - 58", "Combine constants: -4x - 1141 = 11x - 25", "Subtract 11x from both sides: -15x - 1141 = -25", "Add 1141 to both sides: -15x = 1116", "Divide both sides by -15: x = -372/5"], "final_answer": "-372/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 334) + 195 = 11(x + 3) - 58", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 334, \"c\": 195, \"d\": 11, \"e\": 3, \"f\": 58}", "seed": "16373796874040298359", "semantic_fingerprint": "sha256:683ac8b84998734a8874e22b27b019604f39cb6074c816c1be3fcf1cac52874f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005449", "prompt": "Evaluate: -3 * (78 - (-73) * (-36)) * 85", "solution_steps": ["Multiply: -73 * (-36) = 2628", "Subtract: 78 - 2628 = -2550", "Multiply: -3 * (-2550) = 7650", "Multiply: 7650 * 85 = 650250"], "final_answer": "650250", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (78 - (-73) * (-36)) * 85", "variable": null, "family": "expression_4op", "shape": "(* (* n (- n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 78, \"c\": -73, \"d\": -36, \"e\": 85}", "seed": "12256605816133916867", "semantic_fingerprint": "sha256:7f91b93f13c6a3f147e0c8150b4c85744e0af0dee16d39e379b8777ba3f555f5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005450", "prompt": "What value of x satisfies 2(x - 59) + 12 = 3(x - 97)?", "solution_steps": ["Expand: 2x - 118 + 12 = 3(x - 97)", "Expand: 2x - 118 + 12 = 3x - 291", "Combine constants: 2x - 106 = 3x - 291", "Subtract 3x from both sides: -x - 106 = -291", "Add 106 to both sides: -x = -185", "Divide both sides by -1: x = 185"], "final_answer": "185", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 59) + 12 = 3(x - 97)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 59, \"c\": 12, \"d\": 3, \"e\": 97}", "seed": "16944001757117896869", "semantic_fingerprint": "sha256:a9426cbfcfe4d03dad7c811c55e0c3eafca772a90f54b845abf0f946dec5128d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005451", "prompt": "Calculate: 8 - (73 + 3) + 6", "solution_steps": ["Add: 73 + 3 = 76", "Subtract: 8 - 76 = -68", "Add: -68 + 6 = -62"], "final_answer": "-62", "answer_type": "integer", "kind": "expression", "math_text": "8 - (73 + 3) + 6", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 73, \"c\": 3, \"d\": 6}", "seed": "15016536277277490268", "semantic_fingerprint": "sha256:76edfcad84ff1ed9fba07e6853cf1c5e1a989b82f906a958792b78f58ca2e599", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005452", "prompt": "Compute: 7 * (24 - (-5 - (-71) * (-9)))", "solution_steps": ["Multiply: -71 * (-9) = 639", "Subtract: -5 - 639 = -644", "Subtract: 24 - (-644) = 668", "Multiply: 7 * 668 = 4676"], "final_answer": "4676", "answer_type": "integer", "kind": "expression", "math_text": "7 * (24 - (-5 - (-71) * (-9)))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (- n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 24, \"c\": -5, \"d\": -71, \"e\": -9}", "seed": "13927916725804105202", "semantic_fingerprint": "sha256:55351d1fe329cceeab42d060585a115e8736d2039b5aa22d3d7a15b0bf4e4489", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005453", "prompt": "Find x: 9(x - 69) + 513 = 2(x - 47)", "solution_steps": ["Expand: 9x - 621 + 513 = 2(x - 47)", "Expand: 9x - 621 + 513 = 2x - 94", "Combine constants: 9x - 108 = 2x - 94", "Subtract 2x from both sides: 7x - 108 = -94", "Add 108 to both sides: 7x = 14", "Divide both sides by 7: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 69) + 513 = 2(x - 47)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 69, \"c\": 2, \"d\": 47, \"f\": 513, \"x\": 2}", "seed": "3998624427244300899", "semantic_fingerprint": "sha256:41679c89bb552142386dc2a429c87b7a2ea1d9419639d64c55b3531b56698cb7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005454", "prompt": "What is 8 * (-99 * (-29 - 15))?", "solution_steps": ["Subtract: -29 - 15 = -44", "Multiply: -99 * (-44) = 4356", "Multiply: 8 * 4356 = 34848"], "final_answer": "34848", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-99 * (-29 - 15))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -99, \"c\": -29, \"d\": 15}", "seed": "286308730747967528", "semantic_fingerprint": "sha256:f4cbe812c97e09251deb26b1f3eaaf3e2211981afd07d42329e36bf3611f5017", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005455", "prompt": "Compute: 92 - (311 - (-615 - 94))", "solution_steps": ["Subtract: -615 - 94 = -709", "Subtract: 311 - (-709) = 1020", "Subtract: 92 - 1020 = -928"], "final_answer": "-928", "answer_type": "integer", "kind": "expression", "math_text": "92 - (311 - (-615 - 94))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 311, \"c\": -615, \"d\": 94}", "seed": "15215939458971039977", "semantic_fingerprint": "sha256:ea679cf95114d10505790ca006b528fa2c5a181ff6404544b4a95d9a1d576071", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005456", "prompt": "Compute: -2 + (-5) - (624 + 2)", "solution_steps": ["Add: -2 + (-5) = -7", "Add: 624 + 2 = 626", "Subtract: -7 - 626 = -633"], "final_answer": "-633", "answer_type": "integer", "kind": "expression", "math_text": "-2 + (-5) - (624 + 2)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -5, \"c\": 624, \"d\": 2}", "seed": "6918068969431246559", "semantic_fingerprint": "sha256:5e52227a943a25a2c96ca59a6d052814c237685312c5ea5b644510f4cb06ccd8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005457", "prompt": "What is -3 - (-22 - (-28 - (-1)))?", "solution_steps": ["Subtract: -28 - (-1) = -27", "Subtract: -22 - (-27) = 5", "Subtract: -3 - 5 = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (-22 - (-28 - (-1)))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -22, \"c\": -28, \"d\": -1}", "seed": "11603431492643704574", "semantic_fingerprint": "sha256:74d71415d09b6e2e692137edd454351502af83995ab4fb1086a058124e0299de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005458", "prompt": "What is (-1 - 66) / 27 - (331 - 54)?", "solution_steps": ["Subtract: -1 - 66 = -67", "Divide: -67 / 27 = -67/27", "Subtract: 331 - 54 = 277", "Subtract: -67/27 - 277 = -7546/27"], "final_answer": "-7546/27", "answer_type": "rational", "kind": "expression", "math_text": "(-1 - 66) / 27 - (331 - 54)", "variable": null, "family": "expression_4op", "shape": "(- (/ (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 66, \"c\": 27, \"d\": 331, \"e\": 54}", "seed": "1770306878666351813", "semantic_fingerprint": "sha256:9addae3c3221cc64d67fb80ccc3285bfc27b053d048c80e990e1a393b0af2599", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005459", "prompt": "Solve the equation 9(x + 27) - 666 = x - 479 for x.", "solution_steps": ["Expand: 9x + 243 - 666 = x - 479", "Combine constants: 9x - 423 = x - 479", "Subtract x from both sides: 8x - 423 = -479", "Add 423 to both sides: 8x = -56", "Divide both sides by 8: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 27) - 666 = x - 479", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 27, \"c\": 666, \"e\": -479, \"x\": -7}", "seed": "5656781196516550564", "semantic_fingerprint": "sha256:272e47d0261a0f2dc66ea606255b5bf8fbf66630a725b132664e2493a44e138e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005460", "prompt": "Solve the equation 6(x - 8) - 9 = 7(x - 3) - 54 for x.", "solution_steps": ["Expand: 6x - 48 - 9 = 7(x - 3) - 54", "Expand: 6x - 48 - 9 = 7x - 21 - 54", "Combine constants: 6x - 57 = 7x - 21 - 54", "Combine constants: 6x - 57 = 7x - 75", "Subtract 7x from both sides: -x - 57 = -75", "Add 57 to both sides: -x = -18", "Divide both sides by -1: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 8) - 9 = 7(x - 3) - 54", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 9, \"d\": 7, \"e\": 3, \"g\": -54, \"x\": 18}", "seed": "11363202635954151914", "semantic_fingerprint": "sha256:38a038f02fc829f43e795ca362b4deef509ca91119b0bdaa5d0f27058f81d45c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005461", "prompt": "Find x: -7(x + 9) - 99 = x - 210", "solution_steps": ["Expand: -7x - 63 - 99 = x - 210", "Combine constants: -7x - 162 = x - 210", "Subtract x from both sides: -8x - 162 = -210", "Add 162 to both sides: -8x = -48", "Divide both sides by -8: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 9) - 99 = x - 210", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 9, \"c\": 99, \"e\": -210, \"x\": 6}", "seed": "8921525779672082397", "semantic_fingerprint": "sha256:195f654650f6ab64951677c88e172e4091b4b412fe25aa192c8c4966b0510846", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005462", "prompt": "Compute: (221 / (-7) + (-9)) * 71", "solution_steps": ["Divide: 221 / (-7) = -221/7", "Add: -221/7 + (-9) = -284/7", "Multiply: (-284/7) * 71 = -20164/7"], "final_answer": "-20164/7", "answer_type": "rational", "kind": "expression", "math_text": "(221 / (-7) + (-9)) * 71", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 221, \"b\": -7, \"c\": -9, \"d\": 71}", "seed": "7207202337489630959", "semantic_fingerprint": "sha256:4056aa704f06b1e44b721c8a4d3aa03b74e22ef23b1a9d93c3c95d3df796f5c2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005463", "prompt": "Compute: 8 + 0 / (-46 - 56)", "solution_steps": ["Subtract: -46 - 56 = -102", "Divide: 0 / (-102) = 0", "Add: 8 + 0 = 8"], "final_answer": "8", "answer_type": "integer", "kind": "expression", "math_text": "8 + 0 / (-46 - 56)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 0, \"c\": -46, \"d\": 56}", "seed": "1484719763636579242", "semantic_fingerprint": "sha256:4b5e557e8aeac052f3b363bd408ba6b6d1c876eda2103eb0bbc1d050682545e6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005464", "prompt": "Evaluate: 35 * (-5 / (-85 * 6) - (-4))", "solution_steps": ["Multiply: -85 * 6 = -510", "Divide: -5 / (-510) = 1/102", "Subtract: 1/102 - (-4) = 409/102", "Multiply: 35 * (409/102) = 14315/102"], "final_answer": "14315/102", "answer_type": "rational", "kind": "expression", "math_text": "35 * (-5 / (-85 * 6) - (-4))", "variable": null, "family": "expression_4op", "shape": "(* n (- (/ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -5, \"c\": -85, \"d\": 6, \"e\": -4}", "seed": "15258385578850520576", "semantic_fingerprint": "sha256:2c737deff06a2c8c77e5e3f75684ac604c2b5792467b77f023857220d5b0778f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005465", "prompt": "Solve the equation 2(x - 13) = 4x - 38 for x.", "solution_steps": ["Expand: 2x - 26 = 4x - 38", "Subtract 4x from both sides: -2x - 26 = -38", "Add 26 to both sides: -2x = -12", "Divide both sides by -2: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 13) = 4x - 38", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 13, \"c\": 4, \"e\": -38, \"x\": 6}", "seed": "15263930545103991504", "semantic_fingerprint": "sha256:4e63a2ba2f5810cff362ff5298daaf165d6e20616e3c41b3d27fd290903a24db", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005466", "prompt": "What is (173 * (-3) + (-4)) * 124?", "solution_steps": ["Multiply: 173 * (-3) = -519", "Add: -519 + (-4) = -523", "Multiply: -523 * 124 = -64852"], "final_answer": "-64852", "answer_type": "integer", "kind": "expression", "math_text": "(173 * (-3) + (-4)) * 124", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 173, \"b\": -3, \"c\": -4, \"d\": 124}", "seed": "13353922661934031978", "semantic_fingerprint": "sha256:4cf958deb402bed9b339090c7e2a71ec17e566d0ca35f4d27f51cf8045d97541", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005467", "prompt": "What value of x satisfies -3(x + 40) + 93 = -11(x + 27) - 94?", "solution_steps": ["Expand: -3x - 120 + 93 = -11(x + 27) - 94", "Expand: -3x - 120 + 93 = -11x - 297 - 94", "Combine constants: -3x - 27 = -11x - 297 - 94", "Combine constants: -3x - 27 = -11x - 391", "Add 11x to both sides: 8x - 27 = -391", "Add 27 to both sides: 8x = -364", "Divide both sides by 8: x = -91/2"], "final_answer": "-91/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x + 40) + 93 = -11(x + 27) - 94", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 40, \"c\": 93, \"d\": -11, \"e\": 27, \"f\": 94}", "seed": "14450998526864718851", "semantic_fingerprint": "sha256:06106c9f41bc8138d2813df5e833def56ddaad422c8a264841b12add0e2e4169", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005468", "prompt": "Calculate: 0 - (8 + (80 - 77))", "solution_steps": ["Subtract: 80 - 77 = 3", "Add: 8 + 3 = 11", "Subtract: 0 - 11 = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "expression", "math_text": "0 - (8 + (80 - 77))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 8, \"c\": 80, \"d\": 77}", "seed": "10932695897909175451", "semantic_fingerprint": "sha256:93a3d33d04f269eabd1463ff9da5c94a2b1e2f403e376d47aa80c7f7a1cac5de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005469", "prompt": "Evaluate: (-5 - 0) * (-6 * 95)", "solution_steps": ["Subtract: -5 - 0 = -5", "Multiply: -6 * 95 = -570", "Multiply: -5 * (-570) = 2850"], "final_answer": "2850", "answer_type": "integer", "kind": "expression", "math_text": "(-5 - 0) * (-6 * 95)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 0, \"c\": -6, \"d\": 95}", "seed": "763786158742129379", "semantic_fingerprint": "sha256:25e7f0d052ec8a48b032147aeb7b71f6c8f301b74991d918ad942cbbdc43383f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005470", "prompt": "Compute: 5 * (-92 + (-645)) + (-7 - 84 * (-235))", "solution_steps": ["Add: -92 + (-645) = -737", "Multiply: 5 * (-737) = -3685", "Multiply: 84 * (-235) = -19740", "Subtract: -7 - (-19740) = 19733", "Add: -3685 + 19733 = 16048"], "final_answer": "16048", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-92 + (-645)) + (-7 - 84 * (-235))", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ n n)) (- n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -92, \"c\": -645, \"d\": -7, \"e\": 84, \"f\": -235}", "seed": "12751922148169805348", "semantic_fingerprint": "sha256:a4ea28832b6430180267dd5499b1713f9eddc1a0aa3b990b574a0dfc9afa8ff9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005471", "prompt": "What value of x satisfies 10(x - 92) + 766 = 7(x - 25)?", "solution_steps": ["Expand: 10x - 920 + 766 = 7(x - 25)", "Expand: 10x - 920 + 766 = 7x - 175", "Combine constants: 10x - 154 = 7x - 175", "Subtract 7x from both sides: 3x - 154 = -175", "Add 154 to both sides: 3x = -21", "Divide both sides by 3: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 92) + 766 = 7(x - 25)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 92, \"c\": 7, \"d\": 25, \"f\": 766, \"x\": -7}", "seed": "5226227120167235213", "semantic_fingerprint": "sha256:a62f67e407166077a27d6eb8989eec7d8630dbbbc2c839ed0aabf038a16d33ec", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005472", "prompt": "Calculate: -102 - (-548 + (-9 - (-2)))", "solution_steps": ["Subtract: -9 - (-2) = -7", "Add: -548 + (-7) = -555", "Subtract: -102 - (-555) = 453"], "final_answer": "453", "answer_type": "integer", "kind": "expression", "math_text": "-102 - (-548 + (-9 - (-2)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -102, \"b\": -548, \"c\": -9, \"d\": -2}", "seed": "9817853977374559203", "semantic_fingerprint": "sha256:612a7c1f282087add5d7258acfda705d394a58c23a5b1c78872ebb90caf788cc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005473", "prompt": "Solve the equation 8(x - 325) - 533 = 4(x - 23) for x.", "solution_steps": ["Expand: 8x - 2600 - 533 = 4(x - 23)", "Expand: 8x - 2600 - 533 = 4x - 92", "Combine constants: 8x - 3133 = 4x - 92", "Subtract 4x from both sides: 4x - 3133 = -92", "Add 3133 to both sides: 4x = 3041", "Divide both sides by 4: x = 3041/4"], "final_answer": "3041/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 325) - 533 = 4(x - 23)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 325, \"c\": 533, \"d\": 4, \"e\": 23}", "seed": "8979780598235244150", "semantic_fingerprint": "sha256:db91e23e1b566cb812044f2ff114f7d622b50700f99ed415948bd28a96890e68", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005474", "prompt": "Compute: 3 / 62 + (-9) * 681 / (-133 - (-14))", "solution_steps": ["Divide: 3 / 62 = 3/62", "Multiply: -9 * 681 = -6129", "Subtract: -133 - (-14) = -119", "Divide: -6129 / (-119) = 6129/119", "Add: 3/62 + 6129/119 = 380355/7378"], "final_answer": "380355/7378", "answer_type": "rational", "kind": "expression", "math_text": "3 / 62 + (-9) * 681 / (-133 - (-14))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (/ (* n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 62, \"c\": -9, \"d\": 681, \"e\": -133, \"f\": -14}", "seed": "10641958693406138463", "semantic_fingerprint": "sha256:bc1bf4a5207df651e52daa02df43d6ca3ae57484bd80e47021ae5a4c06394f7e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005475", "prompt": "Compute: -195 / (13 + (-13) - (-96 + (-218)))", "solution_steps": ["Add: 13 + (-13) = 0", "Add: -96 + (-218) = -314", "Subtract: 0 - (-314) = 314", "Divide: -195 / 314 = -195/314"], "final_answer": "-195/314", "answer_type": "rational", "kind": "expression", "math_text": "-195 / (13 + (-13) - (-96 + (-218)))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -195, \"b\": 13, \"c\": -13, \"d\": -96, \"e\": -218}", "seed": "15877164218045927202", "semantic_fingerprint": "sha256:0397e9e49b0dd8298e4c3df42ced256fc6113a867c572d175e29d6d6f094e2ab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005476", "prompt": "Solve for x: 4(x + 28) - 175 = x - 36", "solution_steps": ["Expand: 4x + 112 - 175 = x - 36", "Combine constants: 4x - 63 = x - 36", "Subtract x from both sides: 3x - 63 = -36", "Add 63 to both sides: 3x = 27", "Divide both sides by 3: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 28) - 175 = x - 36", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 28, \"c\": 175, \"d\": 36}", "seed": "4873005468330559858", "semantic_fingerprint": "sha256:382dbce4842671a5cbeb01450ab9ac3efb10e44b0baac215ef353c255c4d3dfb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005477", "prompt": "Find x: 2(x + 451) - 39 = x - 891", "solution_steps": ["Expand: 2x + 902 - 39 = x - 891", "Combine constants: 2x + 863 = x - 891", "Subtract x from both sides: x + 863 = -891", "Subtract 863 from both sides: x = -1754"], "final_answer": "-1754", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 451) - 39 = x - 891", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 451, \"c\": 39, \"d\": 891}", "seed": "3475568904243455889", "semantic_fingerprint": "sha256:85ecbd0df9664c8bac0748c0686ac77f52968a54877ee6b49f1b07f8548f80bb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005478", "prompt": "Evaluate: -4 - (-36) + (417 - (-3)) + (887 + 129)", "solution_steps": ["Subtract: -4 - (-36) = 32", "Subtract: 417 - (-3) = 420", "Add: 32 + 420 = 452", "Add: 887 + 129 = 1016", "Add: 452 + 1016 = 1468"], "final_answer": "1468", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (-36) + (417 - (-3)) + (887 + 129)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -36, \"c\": 417, \"d\": -3, \"e\": 887, \"f\": 129}", "seed": "12782199175271028565", "semantic_fingerprint": "sha256:6aab25de433bdc38851e4997307149782f36d192680e76d5105f88361c40e59e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005479", "prompt": "Compute: (-2 - 22) * (2 / 2)", "solution_steps": ["Subtract: -2 - 22 = -24", "Divide: 2 / 2 = 1", "Multiply: -24 * 1 = -24"], "final_answer": "-24", "answer_type": "integer", "kind": "expression", "math_text": "(-2 - 22) * (2 / 2)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 22, \"c\": 2, \"d\": 2}", "seed": "13986014801560708472", "semantic_fingerprint": "sha256:32344d9031e1e1f192a052ea17b604c0e19a43073e2326773d85aeb94fdb8dba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005480", "prompt": "What is -270 / (-566) + (-66 - 6) - (-425)?", "solution_steps": ["Divide: -270 / (-566) = 135/283", "Subtract: -66 - 6 = -72", "Add: 135/283 + (-72) = -20241/283", "Subtract: -20241/283 - (-425) = 100034/283"], "final_answer": "100034/283", "answer_type": "rational", "kind": "expression", "math_text": "-270 / (-566) + (-66 - 6) - (-425)", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -270, \"b\": -566, \"c\": -66, \"d\": 6, \"e\": -425}", "seed": "9451252603997573914", "semantic_fingerprint": "sha256:0beddbb0e561f06873abb7ebe158faae1c9ed1c82b637779a1096c636e6a2b31", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005481", "prompt": "Calculate: (-1 + 9) / (-2 + (-971 - (-8)))", "solution_steps": ["Add: -1 + 9 = 8", "Subtract: -971 - (-8) = -963", "Add: -2 + (-963) = -965", "Divide: 8 / (-965) = -8/965"], "final_answer": "-8/965", "answer_type": "rational", "kind": "expression", "math_text": "(-1 + 9) / (-2 + (-971 - (-8)))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 9, \"c\": -2, \"d\": -971, \"e\": -8}", "seed": "6377981087930944543", "semantic_fingerprint": "sha256:ee4ef5295b62a931e0d8344af5e25fb01d022b06aee74adda16075285af19d8c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005482", "prompt": "Calculate: 306 / (-9 + (-5)) * (-7) * (-1)", "solution_steps": ["Add: -9 + (-5) = -14", "Divide: 306 / (-14) = -153/7", "Multiply: (-153/7) * (-7) = 153", "Multiply: 153 * (-1) = -153"], "final_answer": "-153", "answer_type": "integer", "kind": "expression", "math_text": "306 / (-9 + (-5)) * (-7) * (-1)", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 306, \"b\": -9, \"c\": -5, \"d\": -7, \"e\": -1}", "seed": "15695012262524946029", "semantic_fingerprint": "sha256:9617479ce6a6ea560c6ba8004915b93b8cad757f138431271abb79fcd457489c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005483", "prompt": "Find x: 9(x - 2) = 10x - 8", "solution_steps": ["Expand: 9x - 18 = 10x - 8", "Subtract 10x from both sides: -x - 18 = -8", "Add 18 to both sides: -x = 10", "Divide both sides by -1: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 2) = 10x - 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 10, \"d\": 8}", "seed": "4984424259884792558", "semantic_fingerprint": "sha256:4f50d28c78b9ad0e8d1fb0b3c7e40cf59826fce5085ec80572453114b55e3745", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005484", "prompt": "Compute: (654 + (-4)) / (-75) + 33 / (-8) * (-8)", "solution_steps": ["Add: 654 + (-4) = 650", "Divide: 650 / (-75) = -26/3", "Divide: 33 / (-8) = -33/8", "Multiply: (-33/8) * (-8) = 33", "Add: -26/3 + 33 = 73/3"], "final_answer": "73/3", "answer_type": "rational", "kind": "expression", "math_text": "(654 + (-4)) / (-75) + 33 / (-8) * (-8)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ n n) n) (* (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 654, \"b\": -4, \"c\": -75, \"d\": 33, \"e\": -8, \"f\": -8}", "seed": "2210624567633038989", "semantic_fingerprint": "sha256:5df88e7aa5ab05d5ad1963a3a4218238f658fe9f6313d9ed579d0b4434ea9c35", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005485", "prompt": "Calculate: -71 - 0 / (977 / (-788) / 8)", "solution_steps": ["Divide: 977 / (-788) = -977/788", "Divide: (-977/788) / 8 = -977/6304", "Divide: 0 / (-977/6304) = 0", "Subtract: -71 - 0 = -71"], "final_answer": "-71", "answer_type": "integer", "kind": "expression", "math_text": "-71 - 0 / (977 / (-788) / 8)", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (/ (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 0, \"c\": 977, \"d\": -788, \"e\": 8}", "seed": "18306719472214491854", "semantic_fingerprint": "sha256:727ac8724c6a80624854c3e11c24f919db0174495c46f32aee8a426866db12f1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005486", "prompt": "Find x: 4(x - 12) = -12x - 144", "solution_steps": ["Expand: 4x - 48 = -12x - 144", "Add 12x to both sides: 16x - 48 = -144", "Add 48 to both sides: 16x = -96", "Divide both sides by 16: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 12) = -12x - 144", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 12, \"c\": -12, \"e\": -144, \"x\": -6}", "seed": "1055124117096280787", "semantic_fingerprint": "sha256:1c3c0786a6c46b91280056cc519ad1bc5248c34e52fe0af091795f328a34fcc2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005487", "prompt": "Calculate: -38 / 30 - (-1) - (-70)", "solution_steps": ["Divide: -38 / 30 = -19/15", "Subtract: -19/15 - (-1) = -4/15", "Subtract: -4/15 - (-70) = 1046/15"], "final_answer": "1046/15", "answer_type": "rational", "kind": "expression", "math_text": "-38 / 30 - (-1) - (-70)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": 30, \"c\": -1, \"d\": -70}", "seed": "16161702487360724016", "semantic_fingerprint": "sha256:14fcf5f0fb5fc2fcb7375bed43375c062cc35e0c01ebb259b1d3342a96864926", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005488", "prompt": "Solve for x: -3(x - 10) + 488 = 7x + 398", "solution_steps": ["Expand: -3x + 30 + 488 = 7x + 398", "Combine constants: -3x + 518 = 7x + 398", "Subtract 7x from both sides: -10x + 518 = 398", "Subtract 518 from both sides: -10x = -120", "Divide both sides by -10: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 10) + 488 = 7x + 398", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 10, \"c\": 488, \"d\": 7, \"f\": 398, \"x\": 12}", "seed": "17660730151089137466", "semantic_fingerprint": "sha256:15b8624b9bae96b0926ea709fdd1fbef102345c50ce1fa88c3c0fcc7e7167e7e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005489", "prompt": "Solve for x: 9(x - 7) - 419 = 8(x - 60)", "solution_steps": ["Expand: 9x - 63 - 419 = 8(x - 60)", "Expand: 9x - 63 - 419 = 8x - 480", "Combine constants: 9x - 482 = 8x - 480", "Subtract 8x from both sides: x - 482 = -480", "Add 482 to both sides: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 7) - 419 = 8(x - 60)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 8, \"d\": 60, \"f\": -419, \"x\": 2}", "seed": "13042426667606347507", "semantic_fingerprint": "sha256:034813cf0fd972c29cf87d6647082a225c68c16d88b31ac3424c6455d1945f73", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005490", "prompt": "Solve for x: -10(x - 5) + 94 = -3x + 60", "solution_steps": ["Expand: -10x + 50 + 94 = -3x + 60", "Combine constants: -10x + 144 = -3x + 60", "Add 3x to both sides: -7x + 144 = 60", "Subtract 144 from both sides: -7x = -84", "Divide both sides by -7: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 5) + 94 = -3x + 60", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 5, \"c\": 94, \"d\": -3, \"f\": 60, \"x\": 12}", "seed": "6120817073724130460", "semantic_fingerprint": "sha256:417d99497f8d01e8032eac2128c72d716a0afd90904efae90777fda617afd798", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005491", "prompt": "Compute: 7 - 3 - (-1) * (-9) - 959", "solution_steps": ["Subtract: 7 - 3 = 4", "Multiply: -1 * (-9) = 9", "Subtract: 4 - 9 = -5", "Subtract: -5 - 959 = -964"], "final_answer": "-964", "answer_type": "integer", "kind": "expression", "math_text": "7 - 3 - (-1) * (-9) - 959", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"c\": -1, \"d\": -9, \"e\": 959}", "seed": "4787563233265665607", "semantic_fingerprint": "sha256:4603312c5b46f5b21d43e28e4610592259e718e7c712252b50e40ec3c3acf77c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005492", "prompt": "Compute: -82 * 86 / (-8 * 55 - (-60))", "solution_steps": ["Multiply: -82 * 86 = -7052", "Multiply: -8 * 55 = -440", "Subtract: -440 - (-60) = -380", "Divide: -7052 / (-380) = 1763/95"], "final_answer": "1763/95", "answer_type": "rational", "kind": "expression", "math_text": "-82 * 86 / (-8 * 55 - (-60))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (- (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": 86, \"c\": -8, \"d\": 55, \"e\": -60}", "seed": "6748702344401601773", "semantic_fingerprint": "sha256:fc66b75107d9597bf29596fb1ded51cb3b22983e086965dd802d6b44f03bfd4a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005493", "prompt": "Calculate: (30 - (-3)) / (-5 * (-59))", "solution_steps": ["Subtract: 30 - (-3) = 33", "Multiply: -5 * (-59) = 295", "Divide: 33 / 295 = 33/295"], "final_answer": "33/295", "answer_type": "rational", "kind": "expression", "math_text": "(30 - (-3)) / (-5 * (-59))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": -3, \"c\": -5, \"d\": -59}", "seed": "18063195322389869267", "semantic_fingerprint": "sha256:1523bb2db7cb47c9908cdc33e999a96264856d6cc48135de608ca2b9b82f93bf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005494", "prompt": "Calculate: -8 - (-38) * 6 + (-5) + (-42)", "solution_steps": ["Multiply: -38 * 6 = -228", "Subtract: -8 - (-228) = 220", "Add: 220 + (-5) = 215", "Add: 215 + (-42) = 173"], "final_answer": "173", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (-38) * 6 + (-5) + (-42)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -38, \"c\": 6, \"d\": -5, \"e\": -42}", "seed": "288105869528966340", "semantic_fingerprint": "sha256:7a72be0e10fbbe6dc62377cd913ac3ff740592be0bb97a6fbdfa4847ddc3fc04", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005495", "prompt": "Compute: -24 * (-15 + 41 + 0) * 9", "solution_steps": ["Add: -15 + 41 = 26", "Add: 26 + 0 = 26", "Multiply: -24 * 26 = -624", "Multiply: -624 * 9 = -5616"], "final_answer": "-5616", "answer_type": "integer", "kind": "expression", "math_text": "-24 * (-15 + 41 + 0) * 9", "variable": null, "family": "expression_4op", "shape": "(* (* n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": -15, \"c\": 41, \"d\": 0, \"e\": 9}", "seed": "12254764020119981193", "semantic_fingerprint": "sha256:3b4eb681a241ff51c88354375a391284f5878a8476037dad4337d969d9511922", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005496", "prompt": "Compute: -9 * (-64) + (49 - (-308) / 8)", "solution_steps": ["Multiply: -9 * (-64) = 576", "Divide: -308 / 8 = -77/2", "Subtract: 49 - (-77/2) = 175/2", "Add: 576 + 175/2 = 1327/2"], "final_answer": "1327/2", "answer_type": "rational", "kind": "expression", "math_text": "-9 * (-64) + (49 - (-308) / 8)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -64, \"c\": 49, \"d\": -308, \"e\": 8}", "seed": "7045073450332332796", "semantic_fingerprint": "sha256:a02d303d6cacb5fb6544d7a9e16baff60c3d799741cc5cb74a2ba4134dbf14b6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005497", "prompt": "Compute: (6 - 416 / 1) / 8", "solution_steps": ["Divide: 416 / 1 = 416", "Subtract: 6 - 416 = -410", "Divide: -410 / 8 = -205/4"], "final_answer": "-205/4", "answer_type": "rational", "kind": "expression", "math_text": "(6 - 416 / 1) / 8", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 416, \"c\": 1, \"d\": 8}", "seed": "17157229558398467104", "semantic_fingerprint": "sha256:4f6214a87a389c1dcf2920c37e13256257070c17cdce242d52ec2f1225d4571e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005498", "prompt": "Evaluate: 0 / 83 / (-874) * (-434 * 66 / 719)", "solution_steps": ["Divide: 0 / 83 = 0", "Divide: 0 / (-874) = 0", "Multiply: -434 * 66 = -28644", "Divide: -28644 / 719 = -28644/719", "Multiply: 0 * (-28644/719) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / 83 / (-874) * (-434 * 66 / 719)", "variable": null, "family": "expression_5op", "shape": "(* (/ (/ n n) n) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 83, \"c\": -874, \"d\": -434, \"e\": 66, \"f\": 719}", "seed": "6673343549470122239", "semantic_fingerprint": "sha256:c20640a54b8fce7e893eca4a1de7b1641435334baa0c089bd9a9ce651609ddd2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005499", "prompt": "Find x: 7(x - 70) + 806 = -6(x - 18)", "solution_steps": ["Expand: 7x - 490 + 806 = -6(x - 18)", "Expand: 7x - 490 + 806 = -6x + 108", "Combine constants: 7x + 316 = -6x + 108", "Add 6x to both sides: 13x + 316 = 108", "Subtract 316 from both sides: 13x = -208", "Divide both sides by 13: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 70) + 806 = -6(x - 18)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 70, \"c\": -6, \"d\": 18, \"f\": 806, \"x\": -16}", "seed": "16364007350996721273", "semantic_fingerprint": "sha256:b22dc7d3a2064e3b15d0f6f4b01e8a924ae2771ce5616705701c2799b438ef8b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005500", "prompt": "Compute: 9 - (-71) / (-74 / 552)", "solution_steps": ["Divide: -74 / 552 = -37/276", "Divide: -71 / (-37/276) = 19596/37", "Subtract: 9 - 19596/37 = -19263/37"], "final_answer": "-19263/37", "answer_type": "rational", "kind": "expression", "math_text": "9 - (-71) / (-74 / 552)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -71, \"c\": -74, \"d\": 552}", "seed": "12825002538916080435", "semantic_fingerprint": "sha256:b8fc071f94daf0fe84399a3ec1b6e1a8585a9ff9e68bfa10ee25c0585285ad10", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005501", "prompt": "What is -37 + (-8 + (-340)) - (-443)?", "solution_steps": ["Add: -8 + (-340) = -348", "Add: -37 + (-348) = -385", "Subtract: -385 - (-443) = 58"], "final_answer": "58", "answer_type": "integer", "kind": "expression", "math_text": "-37 + (-8 + (-340)) - (-443)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -8, \"c\": -340, \"d\": -443}", "seed": "5376704260985816507", "semantic_fingerprint": "sha256:7521708499c26e0a0e344abe65446feb9a3fe0f0bc5d34945806770f15e31723", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005502", "prompt": "Solve for x: 11(x - 46) - 19 = 2(x - 30) - 357", "solution_steps": ["Expand: 11x - 506 - 19 = 2(x - 30) - 357", "Expand: 11x - 506 - 19 = 2x - 60 - 357", "Combine constants: 11x - 525 = 2x - 60 - 357", "Combine constants: 11x - 525 = 2x - 417", "Subtract 2x from both sides: 9x - 525 = -417", "Add 525 to both sides: 9x = 108", "Divide both sides by 9: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 46) - 19 = 2(x - 30) - 357", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 46, \"c\": 19, \"d\": 2, \"e\": 30, \"g\": -357, \"x\": 12}", "seed": "6214084726709719997", "semantic_fingerprint": "sha256:6e9baf36ea543c77f7acf97de128f73693e6124f0cb3faf627dd843f694d5f7f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005503", "prompt": "Solve for x: -4(x - 757) - 63 = 9(x - 2) - 2", "solution_steps": ["Expand: -4x + 3028 - 63 = 9(x - 2) - 2", "Expand: -4x + 3028 - 63 = 9x - 18 - 2", "Combine constants: -4x + 2965 = 9x - 18 - 2", "Combine constants: -4x + 2965 = 9x - 20", "Subtract 9x from both sides: -13x + 2965 = -20", "Subtract 2965 from both sides: -13x = -2985", "Divide both sides by -13: x = 2985/13"], "final_answer": "2985/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 757) - 63 = 9(x - 2) - 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 757, \"c\": 63, \"d\": 9, \"e\": 2, \"f\": 2}", "seed": "5715218253375219312", "semantic_fingerprint": "sha256:49b9c470192c4dc074d23b1b48b17baa313a68af01cd03031f44899db72d6dda", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005504", "prompt": "What is 554 - (-390) * 5 - 687?", "solution_steps": ["Multiply: -390 * 5 = -1950", "Subtract: 554 - (-1950) = 2504", "Subtract: 2504 - 687 = 1817"], "final_answer": "1817", "answer_type": "integer", "kind": "expression", "math_text": "554 - (-390) * 5 - 687", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 554, \"b\": -390, \"c\": 5, \"d\": 687}", "seed": "15450626706209665586", "semantic_fingerprint": "sha256:27ceedfd33c429e5f95657b40b34a263c5ae6a8056d8ba8fb9df8e63cfce0f2d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005505", "prompt": "Solve for x: -3(x - 5) + 120 = -10x + 135", "solution_steps": ["Expand: -3x + 15 + 120 = -10x + 135", "Combine constants: -3x + 135 = -10x + 135", "Add 10x to both sides: 7x + 135 = 135", "Subtract 135 from both sides: 7x = 0", "Divide both sides by 7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 5) + 120 = -10x + 135", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 5, \"c\": 120, \"d\": -10, \"f\": 135, \"x\": 0}", "seed": "7024852183137511396", "semantic_fingerprint": "sha256:025c8b86c7d9265e99984742d19e15931cd2b26d9e7444a5a3a990996cc3ce14", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005506", "prompt": "What is -11 + (7 / (-386) / 13 - 0 * (-5))?", "solution_steps": ["Divide: 7 / (-386) = -7/386", "Divide: (-7/386) / 13 = -7/5018", "Multiply: 0 * (-5) = 0", "Subtract: -7/5018 - 0 = -7/5018", "Add: -11 + (-7/5018) = -55205/5018"], "final_answer": "-55205/5018", "answer_type": "rational", "kind": "expression", "math_text": "-11 + (7 / (-386) / 13 - 0 * (-5))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (/ (/ n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 7, \"c\": -386, \"d\": 13, \"e\": 0, \"f\": -5}", "seed": "17870696121923287968", "semantic_fingerprint": "sha256:adadf4d2c628bf521a778d9eab5e14dfa464703670d0c88c9271a9061f90fbe0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005507", "prompt": "What is 183 - (11 * 2 + 914)?", "solution_steps": ["Multiply: 11 * 2 = 22", "Add: 22 + 914 = 936", "Subtract: 183 - 936 = -753"], "final_answer": "-753", "answer_type": "integer", "kind": "expression", "math_text": "183 - (11 * 2 + 914)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 183, \"b\": 11, \"c\": 2, \"d\": 914}", "seed": "10148458966399689084", "semantic_fingerprint": "sha256:f9e17f049d32df68185ac66742d38f8e579424762c0fbc186393aeb4e6d5508e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005508", "prompt": "Calculate: (3 - 2) * (-529) * (-144)", "solution_steps": ["Subtract: 3 - 2 = 1", "Multiply: 1 * (-529) = -529", "Multiply: -529 * (-144) = 76176"], "final_answer": "76176", "answer_type": "integer", "kind": "expression", "math_text": "(3 - 2) * (-529) * (-144)", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": -529, \"d\": -144}", "seed": "12518202403406371069", "semantic_fingerprint": "sha256:e3eb7b5e55e13bab7650bd98b3dfd0026d81fabb374e08f2f9e92b9ff14be87b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005509", "prompt": "Solve for x: -7(x - 12) + 9 = -5(x - 3)", "solution_steps": ["Expand: -7x + 84 + 9 = -5(x - 3)", "Expand: -7x + 84 + 9 = -5x + 15", "Combine constants: -7x + 93 = -5x + 15", "Add 5x to both sides: -2x + 93 = 15", "Subtract 93 from both sides: -2x = -78", "Divide both sides by -2: x = 39"], "final_answer": "39", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 12) + 9 = -5(x - 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 12, \"c\": 9, \"d\": -5, \"e\": 3}", "seed": "5274635285596210268", "semantic_fingerprint": "sha256:4c5352972469ab6426e8adf830959b9db8fdb6586cc57a344f5d373579af1aa7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005510", "prompt": "Evaluate: 14 * (444 - 4 / (-258)) * 0", "solution_steps": ["Divide: 4 / (-258) = -2/129", "Subtract: 444 - (-2/129) = 57278/129", "Multiply: 14 * (57278/129) = 801892/129", "Multiply: (801892/129) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "14 * (444 - 4 / (-258)) * 0", "variable": null, "family": "expression_4op", "shape": "(* (* n (- n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 444, \"c\": 4, \"d\": -258, \"e\": 0}", "seed": "773349304151964067", "semantic_fingerprint": "sha256:f278695d7cfe936e9a8174ae6289ad8ab7202dec65ab2362f7b4517ab5f3b106", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005511", "prompt": "What value of x satisfies 9(x - 4) + 7 = -2(x - 2)?", "solution_steps": ["Expand: 9x - 36 + 7 = -2(x - 2)", "Expand: 9x - 36 + 7 = -2x + 4", "Combine constants: 9x - 29 = -2x + 4", "Add 2x to both sides: 11x - 29 = 4", "Add 29 to both sides: 11x = 33", "Divide both sides by 11: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 4) + 7 = -2(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": -2, \"d\": 2, \"f\": 7, \"x\": 3}", "seed": "12250206281469787623", "semantic_fingerprint": "sha256:8a6becc8ef4388d4ab87fd05ef90461a2dcdb3abc1e9c3dab92bbd6e222c02cc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005512", "prompt": "Solve the equation 11(x + 3) + 991 = 7(x + 434) - 6 for x.", "solution_steps": ["Expand: 11x + 33 + 991 = 7(x + 434) - 6", "Expand: 11x + 33 + 991 = 7x + 3038 - 6", "Combine constants: 11x + 1024 = 7x + 3038 - 6", "Combine constants: 11x + 1024 = 7x + 3032", "Subtract 7x from both sides: 4x + 1024 = 3032", "Subtract 1024 from both sides: 4x = 2008", "Divide both sides by 4: x = 502"], "final_answer": "502", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 3) + 991 = 7(x + 434) - 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3, \"c\": 991, \"d\": 7, \"e\": 434, \"f\": 6}", "seed": "7126535447349966030", "semantic_fingerprint": "sha256:2268b6def5edeb4d695e78d1ccfc9727c5ef88e833a4da2c2380e06cfe4aeab5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005513", "prompt": "Compute: (9 + 963) / (59 + (496 - (-4)))", "solution_steps": ["Add: 9 + 963 = 972", "Subtract: 496 - (-4) = 500", "Add: 59 + 500 = 559", "Divide: 972 / 559 = 972/559"], "final_answer": "972/559", "answer_type": "rational", "kind": "expression", "math_text": "(9 + 963) / (59 + (496 - (-4)))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 963, \"c\": 59, \"d\": 496, \"e\": -4}", "seed": "10166446384003541092", "semantic_fingerprint": "sha256:2486895203f57134171771601b80bb6592b7d1a4342769202fb0305dc318a279", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005514", "prompt": "Find x: -6(x - 3) - 674 = 10(x - 40)", "solution_steps": ["Expand: -6x + 18 - 674 = 10(x - 40)", "Expand: -6x + 18 - 674 = 10x - 400", "Combine constants: -6x - 656 = 10x - 400", "Subtract 10x from both sides: -16x - 656 = -400", "Add 656 to both sides: -16x = 256", "Divide both sides by -16: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 3) - 674 = 10(x - 40)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 3, \"c\": 10, \"d\": 40, \"f\": -674, \"x\": -16}", "seed": "9454461179262257039", "semantic_fingerprint": "sha256:9238bee478110faa884d96261ad32815a59d1a8e4b37f7774f7379cd30005ece", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005515", "prompt": "Solve for x: 9(x - 32) + 62 = 8(x + 48) - 593", "solution_steps": ["Expand: 9x - 288 + 62 = 8(x + 48) - 593", "Expand: 9x - 288 + 62 = 8x + 384 - 593", "Combine constants: 9x - 226 = 8x + 384 - 593", "Combine constants: 9x - 226 = 8x - 209", "Subtract 8x from both sides: x - 226 = -209", "Add 226 to both sides: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 32) + 62 = 8(x + 48) - 593", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 32, \"c\": 62, \"d\": 8, \"e\": 48, \"g\": -593, \"x\": 17}", "seed": "13446155389806995008", "semantic_fingerprint": "sha256:0d0ec0774f077e7d673ea13c07c1e81d7526462249287b2ab633926f8a9d8889", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005516", "prompt": "Solve the equation -4(x - 5) - 88 = 5(x - 7) - 15 for x.", "solution_steps": ["Expand: -4x + 20 - 88 = 5(x - 7) - 15", "Expand: -4x + 20 - 88 = 5x - 35 - 15", "Combine constants: -4x - 68 = 5x - 35 - 15", "Combine constants: -4x - 68 = 5x - 50", "Subtract 5x from both sides: -9x - 68 = -50", "Add 68 to both sides: -9x = 18", "Divide both sides by -9: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 5) - 88 = 5(x - 7) - 15", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 5, \"c\": 88, \"d\": 5, \"e\": 7, \"g\": -15, \"x\": -2}", "seed": "12021655891708331128", "semantic_fingerprint": "sha256:b8c03124e634552889a054346dd23833b76e49a4e57f4022cf820fd85e264bdf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005517", "prompt": "Evaluate: -627 - (-492) * (-7) - (-115)", "solution_steps": ["Multiply: -492 * (-7) = 3444", "Subtract: -627 - 3444 = -4071", "Subtract: -4071 - (-115) = -3956"], "final_answer": "-3956", "answer_type": "integer", "kind": "expression", "math_text": "-627 - (-492) * (-7) - (-115)", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -627, \"b\": -492, \"c\": -7, \"d\": -115}", "seed": "10236937904362294322", "semantic_fingerprint": "sha256:5b88bad3e1fe2a8e6e10614815c602f6b9252f76a59cf09db181f46a113d83ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005518", "prompt": "Find x: 2(x - 4) + 56 = 12x + 28", "solution_steps": ["Expand: 2x - 8 + 56 = 12x + 28", "Combine constants: 2x + 48 = 12x + 28", "Subtract 12x from both sides: -10x + 48 = 28", "Subtract 48 from both sides: -10x = -20", "Divide both sides by -10: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 4) + 56 = 12x + 28", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": 56, \"d\": 12, \"f\": 28, \"x\": 2}", "seed": "5048290326780409449", "semantic_fingerprint": "sha256:9d0fe49ae4fea60587bc642c392a4b5c33fd45410bb670b9cc98d4641758b9c9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005519", "prompt": "Evaluate: 0 * (-415) + (-9) - (-63) / 87", "solution_steps": ["Multiply: 0 * (-415) = 0", "Add: 0 + (-9) = -9", "Divide: -63 / 87 = -21/29", "Subtract: -9 - (-21/29) = -240/29"], "final_answer": "-240/29", "answer_type": "rational", "kind": "expression", "math_text": "0 * (-415) + (-9) - (-63) / 87", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -415, \"c\": -9, \"d\": -63, \"e\": 87}", "seed": "4026628487492353761", "semantic_fingerprint": "sha256:c51bbf5075c0bb8529004373acd13f2f3278529ffd7f3dffff012c5b67543e64", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005520", "prompt": "Compute: 300 - 47 + (-6) + 91 * (-48)", "solution_steps": ["Subtract: 300 - 47 = 253", "Add: 253 + (-6) = 247", "Multiply: 91 * (-48) = -4368", "Add: 247 + (-4368) = -4121"], "final_answer": "-4121", "answer_type": "integer", "kind": "expression", "math_text": "300 - 47 + (-6) + 91 * (-48)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 300, \"b\": 47, \"c\": -6, \"d\": 91, \"e\": -48}", "seed": "1301584392723870540", "semantic_fingerprint": "sha256:d5090d93d6776288536a904c07e98aafd99ef3b4b1228939463b493cd436cc34", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005521", "prompt": "Calculate: -623 / (3 - (-2) + 0)", "solution_steps": ["Subtract: 3 - (-2) = 5", "Add: 5 + 0 = 5", "Divide: -623 / 5 = -623/5"], "final_answer": "-623/5", "answer_type": "rational", "kind": "expression", "math_text": "-623 / (3 - (-2) + 0)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -623, \"b\": 3, \"c\": -2, \"d\": 0}", "seed": "15228760195999250444", "semantic_fingerprint": "sha256:14b7d6fca2e7b0da1701092724f887faeabe1178b2603afe43b57cd535db154f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005522", "prompt": "Solve the equation x - 5 = 8(x - 68) + 539 for x.", "solution_steps": ["Expand: x - 5 = 8x - 544 + 539", "Combine constants: x - 5 = 8x - 5", "Subtract 8x from both sides: -7x - 5 = -5", "Add 5 to both sides: -7x = 0", "Divide both sides by -7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5 = 8(x - 68) + 539", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 68, \"e\": 539, \"x\": 0}", "seed": "1315412552450202063", "semantic_fingerprint": "sha256:40b4ee3c3bd6719af4aa06ab79ea6c92449a42f75090b39a011272e8b5eb3457", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005523", "prompt": "Evaluate: (-829 - (-6)) * (82 * 9)", "solution_steps": ["Subtract: -829 - (-6) = -823", "Multiply: 82 * 9 = 738", "Multiply: -823 * 738 = -607374"], "final_answer": "-607374", "answer_type": "integer", "kind": "expression", "math_text": "(-829 - (-6)) * (82 * 9)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -829, \"b\": -6, \"c\": 82, \"d\": 9}", "seed": "9349541266283914029", "semantic_fingerprint": "sha256:7d224a4e758f5485345af9f47eb6b31286abbd290435bd9e3ffad9ca16b6e04f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005524", "prompt": "Calculate: (-4 - 985) * (0 / 37)", "solution_steps": ["Subtract: -4 - 985 = -989", "Divide: 0 / 37 = 0", "Multiply: -989 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-4 - 985) * (0 / 37)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 985, \"c\": 0, \"d\": 37}", "seed": "3170526327122215926", "semantic_fingerprint": "sha256:c942a72542814c52683f0b2520267b6267aef90f1f21ae2115f0851cc3ccc9fb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005525", "prompt": "Compute: (-802 - (-8)) * (-43 + 3) / (1 + (-519))", "solution_steps": ["Subtract: -802 - (-8) = -794", "Add: -43 + 3 = -40", "Multiply: -794 * (-40) = 31760", "Add: 1 + (-519) = -518", "Divide: 31760 / (-518) = -15880/259"], "final_answer": "-15880/259", "answer_type": "rational", "kind": "expression", "math_text": "(-802 - (-8)) * (-43 + 3) / (1 + (-519))", "variable": null, "family": "expression_5op", "shape": "(/ (* (- n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -802, \"b\": -8, \"c\": -43, \"d\": 3, \"e\": 1, \"f\": -519}", "seed": "9484161292485760333", "semantic_fingerprint": "sha256:ed01f0ed3a3b76bfe65a363b37851120242827478794623cacf537978246a653", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005526", "prompt": "Calculate: (-185 + (-35)) / (24 / (-55))", "solution_steps": ["Add: -185 + (-35) = -220", "Divide: 24 / (-55) = -24/55", "Divide: -220 / (-24/55) = 3025/6"], "final_answer": "3025/6", "answer_type": "rational", "kind": "expression", "math_text": "(-185 + (-35)) / (24 / (-55))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -185, \"b\": -35, \"c\": 24, \"d\": -55}", "seed": "1197520378282141027", "semantic_fingerprint": "sha256:7806f4b6faf8811dbd77c5edabcff9ada3b82d6295d47970dff9f99fe14a264f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005527", "prompt": "Calculate: -40 * (12 + 55 - (1 + 28 - 23))", "solution_steps": ["Add: 12 + 55 = 67", "Add: 1 + 28 = 29", "Subtract: 29 - 23 = 6", "Subtract: 67 - 6 = 61", "Multiply: -40 * 61 = -2440"], "final_answer": "-2440", "answer_type": "integer", "kind": "expression", "math_text": "-40 * (12 + 55 - (1 + 28 - 23))", "variable": null, "family": "expression_5op", "shape": "(* n (- (+ n n) (- (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": 12, \"c\": 55, \"d\": 1, \"e\": 28, \"f\": 23}", "seed": "8318333509524324710", "semantic_fingerprint": "sha256:1ecd2e87cb67c0fee59f4ba8f95a668abb694d818efdc576d277ae0c9d493f4b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005528", "prompt": "Calculate: (26 / (-6) + (-218)) / (70 - (-57))", "solution_steps": ["Divide: 26 / (-6) = -13/3", "Add: -13/3 + (-218) = -667/3", "Subtract: 70 - (-57) = 127", "Divide: (-667/3) / 127 = -667/381"], "final_answer": "-667/381", "answer_type": "rational", "kind": "expression", "math_text": "(26 / (-6) + (-218)) / (70 - (-57))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": -6, \"c\": -218, \"d\": 70, \"e\": -57}", "seed": "12015978562761403003", "semantic_fingerprint": "sha256:8e80594f298baf0fc10d2718a9806bf3aac209ca16bb8c808e061f95bf86de82", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005529", "prompt": "Solve for x: 3(x - 4) = -12x - 66", "solution_steps": ["Expand: 3x - 12 = -12x - 66", "Add 12x to both sides: 15x - 12 = -66", "Add 12 to both sides: 15x = -54", "Divide both sides by 15: x = -18/5"], "final_answer": "-18/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 4) = -12x - 66", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"c\": -12, \"d\": 66}", "seed": "7218498923651437283", "semantic_fingerprint": "sha256:620888feadf63e80c602b404266f40c8cbd32e745f12b138e15028af4ea5368f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005530", "prompt": "What is (4 - (-350) / 31) / 193?", "solution_steps": ["Divide: -350 / 31 = -350/31", "Subtract: 4 - (-350/31) = 474/31", "Divide: (474/31) / 193 = 474/5983"], "final_answer": "474/5983", "answer_type": "rational", "kind": "expression", "math_text": "(4 - (-350) / 31) / 193", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -350, \"c\": 31, \"d\": 193}", "seed": "1918587468766872024", "semantic_fingerprint": "sha256:85d466368604d0893698b290aaffd25a8c0728cde5ead90f1a797880f8e2a2d1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005531", "prompt": "What is -59 - (4 * 54 + 62 * 15) + 19?", "solution_steps": ["Multiply: 4 * 54 = 216", "Multiply: 62 * 15 = 930", "Add: 216 + 930 = 1146", "Subtract: -59 - 1146 = -1205", "Add: -1205 + 19 = -1186"], "final_answer": "-1186", "answer_type": "integer", "kind": "expression", "math_text": "-59 - (4 * 54 + 62 * 15) + 19", "variable": null, "family": "expression_5op", "shape": "(+ (- n (+ (* n n) (* n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": 4, \"c\": 54, \"d\": 62, \"e\": 15, \"f\": 19}", "seed": "14874397150064698735", "semantic_fingerprint": "sha256:67ce4177f1544d76229317f3cf4549be8ad6000fa3f773c758a013b4970e5081", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005532", "prompt": "Solve the equation 10(x - 888) + 3 = -5(x + 603) - 7 for x.", "solution_steps": ["Expand: 10x - 8880 + 3 = -5(x + 603) - 7", "Expand: 10x - 8880 + 3 = -5x - 3015 - 7", "Combine constants: 10x - 8877 = -5x - 3015 - 7", "Combine constants: 10x - 8877 = -5x - 3022", "Add 5x to both sides: 15x - 8877 = -3022", "Add 8877 to both sides: 15x = 5855", "Divide both sides by 15: x = 1171/3"], "final_answer": "1171/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 888) + 3 = -5(x + 603) - 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 888, \"c\": 3, \"d\": -5, \"e\": 603, \"f\": 7}", "seed": "12170100621698253641", "semantic_fingerprint": "sha256:52409bdecbbc75a3d51e43196061fb423e5a14a32977188c3fcb35e891815c69", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005533", "prompt": "Solve the equation -11(x - 2) - 7 = 11(x - 163) - 74 for x.", "solution_steps": ["Expand: -11x + 22 - 7 = 11(x - 163) - 74", "Expand: -11x + 22 - 7 = 11x - 1793 - 74", "Combine constants: -11x + 15 = 11x - 1793 - 74", "Combine constants: -11x + 15 = 11x - 1867", "Subtract 11x from both sides: -22x + 15 = -1867", "Subtract 15 from both sides: -22x = -1882", "Divide both sides by -22: x = 941/11"], "final_answer": "941/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 2) - 7 = 11(x - 163) - 74", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 2, \"c\": 7, \"d\": 11, \"e\": 163, \"f\": 74}", "seed": "12211184718735498286", "semantic_fingerprint": "sha256:4ebe65b42b4942efd0b21b1339369d2217353c693660fbccdc8c6d281cc30385", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005534", "prompt": "What value of x satisfies 8(x + 62) + 9 = 7(x + 124) - 377?", "solution_steps": ["Expand: 8x + 496 + 9 = 7(x + 124) - 377", "Expand: 8x + 496 + 9 = 7x + 868 - 377", "Combine constants: 8x + 505 = 7x + 868 - 377", "Combine constants: 8x + 505 = 7x + 491", "Subtract 7x from both sides: x + 505 = 491", "Subtract 505 from both sides: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 62) + 9 = 7(x + 124) - 377", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 62, \"c\": 9, \"d\": 7, \"e\": 124, \"g\": -377, \"x\": -14}", "seed": "2565254493476791348", "semantic_fingerprint": "sha256:c0801ff62cb678ef61ba4326b2a3e8208fa748ec131aa4a8c9449e4d956f2584", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005535", "prompt": "Solve the equation 7(x - 8) + 64 = 6x + 85 for x.", "solution_steps": ["Expand: 7x - 56 + 64 = 6x + 85", "Combine constants: 7x + 8 = 6x + 85", "Subtract 6x from both sides: x + 8 = 85", "Subtract 8 from both sides: x = 77"], "final_answer": "77", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 8) + 64 = 6x + 85", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 64, \"d\": 6, \"e\": 85}", "seed": "16702410002448420491", "semantic_fingerprint": "sha256:0acba020e656cbab78e35c22157dffb19c5d3d09e36dfb0a33acd6c0b1ee060f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005536", "prompt": "Find x: 7(x - 10) = 10x - 106", "solution_steps": ["Expand: 7x - 70 = 10x - 106", "Subtract 10x from both sides: -3x - 70 = -106", "Add 70 to both sides: -3x = -36", "Divide both sides by -3: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 10) = 10x - 106", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 10, \"c\": 10, \"e\": -106, \"x\": 12}", "seed": "497499752625364161", "semantic_fingerprint": "sha256:0c50d5e6547afce49e07e2cfcac39b2dbb89fb306478b285a5706f22cb7825aa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005537", "prompt": "Calculate: (5 + (-884)) / (-156 - (-74 - 92))", "solution_steps": ["Add: 5 + (-884) = -879", "Subtract: -74 - 92 = -166", "Subtract: -156 - (-166) = 10", "Divide: -879 / 10 = -879/10"], "final_answer": "-879/10", "answer_type": "rational", "kind": "expression", "math_text": "(5 + (-884)) / (-156 - (-74 - 92))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -884, \"c\": -156, \"d\": -74, \"e\": 92}", "seed": "6486324358973951517", "semantic_fingerprint": "sha256:8f072b18bdae33844795052836bf8c2e0da3dc96a53f6e81b000948e7629347e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005538", "prompt": "Evaluate: -87 * ((77 - 3) * (-6)) + 43", "solution_steps": ["Subtract: 77 - 3 = 74", "Multiply: 74 * (-6) = -444", "Multiply: -87 * (-444) = 38628", "Add: 38628 + 43 = 38671"], "final_answer": "38671", "answer_type": "integer", "kind": "expression", "math_text": "-87 * ((77 - 3) * (-6)) + 43", "variable": null, "family": "expression_4op", "shape": "(+ (* n (* (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": 77, \"c\": 3, \"d\": -6, \"e\": 43}", "seed": "12843197311413465475", "semantic_fingerprint": "sha256:1096b7064e79ff4d71c4a9e54989f8304cdb64e853c1539bef3922b2e968d3eb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005539", "prompt": "Find x: -2(x - 66) - 84 = 8(x - 1) - 556", "solution_steps": ["Expand: -2x + 132 - 84 = 8(x - 1) - 556", "Expand: -2x + 132 - 84 = 8x - 8 - 556", "Combine constants: -2x + 48 = 8x - 8 - 556", "Combine constants: -2x + 48 = 8x - 564", "Subtract 8x from both sides: -10x + 48 = -564", "Subtract 48 from both sides: -10x = -612", "Divide both sides by -10: x = 306/5"], "final_answer": "306/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 66) - 84 = 8(x - 1) - 556", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 66, \"c\": 84, \"d\": 8, \"e\": 1, \"f\": 556}", "seed": "1544578414410206404", "semantic_fingerprint": "sha256:36caa2aff36d5be208c9bdfef8fbe2ba7ba2aab89d1522f2a463bbca5c7a4564", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005540", "prompt": "Find x: -12(x + 7) + 71 = 5(x + 75) - 541", "solution_steps": ["Expand: -12x - 84 + 71 = 5(x + 75) - 541", "Expand: -12x - 84 + 71 = 5x + 375 - 541", "Combine constants: -12x - 13 = 5x + 375 - 541", "Combine constants: -12x - 13 = 5x - 166", "Subtract 5x from both sides: -17x - 13 = -166", "Add 13 to both sides: -17x = -153", "Divide both sides by -17: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 7) + 71 = 5(x + 75) - 541", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 7, \"c\": 71, \"d\": 5, \"e\": 75, \"g\": -541, \"x\": 9}", "seed": "5031933216196653008", "semantic_fingerprint": "sha256:8bbcd1790449c75865acaef742a21ffb01204c04eaf875499173ffbf2d50f5ba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005541", "prompt": "What is 545 / (-56 * (-3) / (-8))?", "solution_steps": ["Multiply: -56 * (-3) = 168", "Divide: 168 / (-8) = -21", "Divide: 545 / (-21) = -545/21"], "final_answer": "-545/21", "answer_type": "rational", "kind": "expression", "math_text": "545 / (-56 * (-3) / (-8))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 545, \"b\": -56, \"c\": -3, \"d\": -8}", "seed": "17580604035462614118", "semantic_fingerprint": "sha256:4a4bbf97e3d17094bda47ca79bfac2b5add3f829c8c6db497af3baa73121748e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005542", "prompt": "Evaluate: 7 / (-377 * (-5)) + (93 + (-176))", "solution_steps": ["Multiply: -377 * (-5) = 1885", "Divide: 7 / 1885 = 7/1885", "Add: 93 + (-176) = -83", "Add: 7/1885 + (-83) = -156448/1885"], "final_answer": "-156448/1885", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-377 * (-5)) + (93 + (-176))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -377, \"c\": -5, \"d\": 93, \"e\": -176}", "seed": "5052935838458492242", "semantic_fingerprint": "sha256:544cec6e41105d54105a7c0327e804be742c91c958641d82e378e7260f733e2a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005543", "prompt": "Compute: 60 / 956 + (12 - 82 - (-9))", "solution_steps": ["Divide: 60 / 956 = 15/239", "Subtract: 12 - 82 = -70", "Subtract: -70 - (-9) = -61", "Add: 15/239 + (-61) = -14564/239"], "final_answer": "-14564/239", "answer_type": "rational", "kind": "expression", "math_text": "60 / 956 + (12 - 82 - (-9))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 956, \"c\": 12, \"d\": 82, \"e\": -9}", "seed": "13400073226759151575", "semantic_fingerprint": "sha256:6355e3859df0610cb9858c11057f33bc430e60fe20c86882838bb541a965425f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005544", "prompt": "Compute: -50 / (4 / (-2 * 93))", "solution_steps": ["Multiply: -2 * 93 = -186", "Divide: 4 / (-186) = -2/93", "Divide: -50 / (-2/93) = 2325"], "final_answer": "2325", "answer_type": "integer", "kind": "expression", "math_text": "-50 / (4 / (-2 * 93))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": 4, \"c\": -2, \"d\": 93}", "seed": "14767637574866564538", "semantic_fingerprint": "sha256:a0f7171504a17f6226058ec1372a9d8a1334872998505c26de22873db6606137", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005545", "prompt": "Compute: 7 + (-45 + (-8)) + (-4) * 46", "solution_steps": ["Add: -45 + (-8) = -53", "Add: 7 + (-53) = -46", "Multiply: -4 * 46 = -184", "Add: -46 + (-184) = -230"], "final_answer": "-230", "answer_type": "integer", "kind": "expression", "math_text": "7 + (-45 + (-8)) + (-4) * 46", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -45, \"c\": -8, \"d\": -4, \"e\": 46}", "seed": "15750203193881362374", "semantic_fingerprint": "sha256:5cdb3cadebe6c41abf869e3e50d857663edb3282960d73a598384f712018f163", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005546", "prompt": "Compute: (-913 + (-270)) / (17 / 416)", "solution_steps": ["Add: -913 + (-270) = -1183", "Divide: 17 / 416 = 17/416", "Divide: -1183 / (17/416) = -492128/17"], "final_answer": "-492128/17", "answer_type": "rational", "kind": "expression", "math_text": "(-913 + (-270)) / (17 / 416)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -913, \"b\": -270, \"c\": 17, \"d\": 416}", "seed": "18243848651327172331", "semantic_fingerprint": "sha256:4e16f60f11b6f0cb175cbdc42ed8a1968dbd2863a417f8074d44b592aeff7352", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005547", "prompt": "Find x: 8x - 9 = -12(x + 6) + 263", "solution_steps": ["Expand: 8x - 9 = -12x - 72 + 263", "Combine constants: 8x - 9 = -12x + 191", "Add 12x to both sides: 20x - 9 = 191", "Add 9 to both sides: 20x = 200", "Divide both sides by 20: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 9 = -12(x + 6) + 263", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": -12, \"d\": 6, \"f\": 263, \"x\": 10}", "seed": "6301263426798170343", "semantic_fingerprint": "sha256:0e264a5713e5d483df355edc7d5990a04861d89b84a9629c2bf79467e4fabe1f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005548", "prompt": "Evaluate: (-996 + (-98) + (-52)) * 3", "solution_steps": ["Add: -996 + (-98) = -1094", "Add: -1094 + (-52) = -1146", "Multiply: -1146 * 3 = -3438"], "final_answer": "-3438", "answer_type": "integer", "kind": "expression", "math_text": "(-996 + (-98) + (-52)) * 3", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -996, \"b\": -98, \"c\": -52, \"d\": 3}", "seed": "8274436396928705690", "semantic_fingerprint": "sha256:1cfc0cff1f8b5030de079c607413d3e177a60b22cd6c50f5523f9e452588518c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005549", "prompt": "What is 7 - (-7) / (85 / (-3))?", "solution_steps": ["Divide: 85 / (-3) = -85/3", "Divide: -7 / (-85/3) = 21/85", "Subtract: 7 - 21/85 = 574/85"], "final_answer": "574/85", "answer_type": "rational", "kind": "expression", "math_text": "7 - (-7) / (85 / (-3))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -7, \"c\": 85, \"d\": -3}", "seed": "5190497473727554940", "semantic_fingerprint": "sha256:93b02485c8dcd477278003a08f8ba1522da3688d6cbb6a04d4ffe2df2e9a323b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005550", "prompt": "Calculate: -53 - 70 / (3 * (-784 / 57))", "solution_steps": ["Divide: -784 / 57 = -784/57", "Multiply: 3 * (-784/57) = -784/19", "Divide: 70 / (-784/19) = -95/56", "Subtract: -53 - (-95/56) = -2873/56"], "final_answer": "-2873/56", "answer_type": "rational", "kind": "expression", "math_text": "-53 - 70 / (3 * (-784 / 57))", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (* n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": 70, \"c\": 3, \"d\": -784, \"e\": 57}", "seed": "16991508237801228290", "semantic_fingerprint": "sha256:2789c32ea612ffa8f86aa7081b78efe619f87a7a01a6b7a7fd6c3350989ee35a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005551", "prompt": "Solve for x: -7(x - 11) - 53 = -2(x - 42)", "solution_steps": ["Expand: -7x + 77 - 53 = -2(x - 42)", "Expand: -7x + 77 - 53 = -2x + 84", "Combine constants: -7x + 24 = -2x + 84", "Add 2x to both sides: -5x + 24 = 84", "Subtract 24 from both sides: -5x = 60", "Divide both sides by -5: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 11) - 53 = -2(x - 42)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 11, \"c\": -2, \"d\": 42, \"f\": -53, \"x\": -12}", "seed": "2374929509769770137", "semantic_fingerprint": "sha256:8ddc62913411a491c4740eecc5fb889e675c5c41fa94d3d5c168f30d8af7f773", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005552", "prompt": "Solve the equation 11x - 8 = -7(x + 3) + 55 for x.", "solution_steps": ["Expand: 11x - 8 = -7x - 21 + 55", "Combine constants: 11x - 8 = -7x + 34", "Add 7x to both sides: 18x - 8 = 34", "Add 8 to both sides: 18x = 42", "Divide both sides by 18: x = 7/3"], "final_answer": "7/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 8 = -7(x + 3) + 55", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"c\": -7, \"d\": 3, \"e\": 55}", "seed": "3787369074815904596", "semantic_fingerprint": "sha256:2c811efb4da02cdd791fa6fdb7785fac36aac8ea0ee862723faf7051876218a4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005553", "prompt": "What value of x satisfies 8(x - 1) - 271 = 10(x - 9) - 177?", "solution_steps": ["Expand: 8x - 8 - 271 = 10(x - 9) - 177", "Expand: 8x - 8 - 271 = 10x - 90 - 177", "Combine constants: 8x - 279 = 10x - 90 - 177", "Combine constants: 8x - 279 = 10x - 267", "Subtract 10x from both sides: -2x - 279 = -267", "Add 279 to both sides: -2x = 12", "Divide both sides by -2: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 1) - 271 = 10(x - 9) - 177", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": 271, \"d\": 10, \"e\": 9, \"g\": -177, \"x\": -6}", "seed": "5370529925986174360", "semantic_fingerprint": "sha256:562ace7e58fa22d45f57e137ef5bafea8f75cd264a59899a8eeeb74bbffbb389", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005554", "prompt": "What value of x satisfies 9(x - 71) + 631 = 10(x - 2)?", "solution_steps": ["Expand: 9x - 639 + 631 = 10(x - 2)", "Expand: 9x - 639 + 631 = 10x - 20", "Combine constants: 9x - 8 = 10x - 20", "Subtract 10x from both sides: -x - 8 = -20", "Add 8 to both sides: -x = -12", "Divide both sides by -1: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 71) + 631 = 10(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 71, \"c\": 10, \"d\": 2, \"f\": 631, \"x\": 12}", "seed": "6838331694775334242", "semantic_fingerprint": "sha256:1614ec7060713e07c67ffd7e246aad9a01603eb5ec393d35ca0962940d08fe7a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005555", "prompt": "Calculate: -905 - (-810 / (-32) + (894 + (-3)))", "solution_steps": ["Divide: -810 / (-32) = 405/16", "Add: 894 + (-3) = 891", "Add: 405/16 + 891 = 14661/16", "Subtract: -905 - 14661/16 = -29141/16"], "final_answer": "-29141/16", "answer_type": "rational", "kind": "expression", "math_text": "-905 - (-810 / (-32) + (894 + (-3)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -905, \"b\": -810, \"c\": -32, \"d\": 894, \"e\": -3}", "seed": "17948491733625814508", "semantic_fingerprint": "sha256:32e6fa2b964a6a8bea052cb7697baa9716a22fca2170ec1d47f09a0781dcb466", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005556", "prompt": "Solve for x: 9(x + 26) - 665 = x - 519", "solution_steps": ["Expand: 9x + 234 - 665 = x - 519", "Combine constants: 9x - 431 = x - 519", "Subtract x from both sides: 8x - 431 = -519", "Add 431 to both sides: 8x = -88", "Divide both sides by 8: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 26) - 665 = x - 519", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 26, \"c\": 665, \"e\": -519, \"x\": -11}", "seed": "14843156709956088015", "semantic_fingerprint": "sha256:f007de9daf3fb8f2ca41bebd229166298462c51dfc613b984616058414c41c0a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005557", "prompt": "What value of x satisfies 10(x + 9) - 41 = x - 583?", "solution_steps": ["Expand: 10x + 90 - 41 = x - 583", "Combine constants: 10x + 49 = x - 583", "Subtract x from both sides: 9x + 49 = -583", "Subtract 49 from both sides: 9x = -632", "Divide both sides by 9: x = -632/9"], "final_answer": "-632/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 9) - 41 = x - 583", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": 41, \"d\": 583}", "seed": "7229628869725335759", "semantic_fingerprint": "sha256:28096309ae25ebad1f8632bf32b0170dd98e366584d2b716a4744e265788809f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005558", "prompt": "Compute: 39 * 9 / 7 / 6", "solution_steps": ["Multiply: 39 * 9 = 351", "Divide: 351 / 7 = 351/7", "Divide: (351/7) / 6 = 117/14"], "final_answer": "117/14", "answer_type": "rational", "kind": "expression", "math_text": "39 * 9 / 7 / 6", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 9, \"c\": 7, \"d\": 6}", "seed": "12777157152164796541", "semantic_fingerprint": "sha256:e9880f46a360252bada61a387e48cfccdda5d29ef2f8191627d68e489f76b7e7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005559", "prompt": "Calculate: 45 * 281 / (5 + (-82) * (0 - 0))", "solution_steps": ["Multiply: 45 * 281 = 12645", "Subtract: 0 - 0 = 0", "Multiply: -82 * 0 = 0", "Add: 5 + 0 = 5", "Divide: 12645 / 5 = 2529"], "final_answer": "2529", "answer_type": "integer", "kind": "expression", "math_text": "45 * 281 / (5 + (-82) * (0 - 0))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (+ n (* n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": 281, \"c\": 5, \"d\": -82, \"e\": 0, \"f\": 0}", "seed": "3248925541852196799", "semantic_fingerprint": "sha256:59e3741d57f811c6be00c1894e59b201b079d457c24dea4ac0994a792976e1dd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005560", "prompt": "Solve for x: x - 9 = 7(x - 45) + 336", "solution_steps": ["Expand: x - 9 = 7x - 315 + 336", "Combine constants: x - 9 = 7x + 21", "Subtract 7x from both sides: -6x - 9 = 21", "Add 9 to both sides: -6x = 30", "Divide both sides by -6: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9 = 7(x - 45) + 336", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 45, \"e\": 336, \"x\": -5}", "seed": "9043797559241325610", "semantic_fingerprint": "sha256:ffdb62ae3f1c5e1d1ad950d3dc988fd5cb530110155076104899550772421a80", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005561", "prompt": "What is 0 * 3 - (-971 - (-4)) * 53?", "solution_steps": ["Multiply: 0 * 3 = 0", "Subtract: -971 - (-4) = -967", "Multiply: -967 * 53 = -51251", "Subtract: 0 - (-51251) = 51251"], "final_answer": "51251", "answer_type": "integer", "kind": "expression", "math_text": "0 * 3 - (-971 - (-4)) * 53", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 3, \"c\": -971, \"d\": -4, \"e\": 53}", "seed": "5378741309033416693", "semantic_fingerprint": "sha256:d66afb060a0670b4e843a97571fdff29d51c1c4d9389fca819022275b002e948", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005562", "prompt": "What is (847 + 49) / (-483 - (-4)) + 25?", "solution_steps": ["Add: 847 + 49 = 896", "Subtract: -483 - (-4) = -479", "Divide: 896 / (-479) = -896/479", "Add: -896/479 + 25 = 11079/479"], "final_answer": "11079/479", "answer_type": "rational", "kind": "expression", "math_text": "(847 + 49) / (-483 - (-4)) + 25", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 847, \"b\": 49, \"c\": -483, \"d\": -4, \"e\": 25}", "seed": "17033431880728028614", "semantic_fingerprint": "sha256:8931fc368d4ac67db9c73251b5079991126338049113f74efa83e49ef2b159c8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005563", "prompt": "Compute: -12 - 9 - (0 - (-6)) - (-2) - (-250)", "solution_steps": ["Subtract: -12 - 9 = -21", "Subtract: 0 - (-6) = 6", "Subtract: -21 - 6 = -27", "Subtract: -27 - (-2) = -25", "Subtract: -25 - (-250) = 225"], "final_answer": "225", "answer_type": "integer", "kind": "expression", "math_text": "-12 - 9 - (0 - (-6)) - (-2) - (-250)", "variable": null, "family": "expression_5op", "shape": "(- (- (- (- n n) (- n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 9, \"c\": 0, \"d\": -6, \"e\": -2, \"f\": -250}", "seed": "5101502962559049841", "semantic_fingerprint": "sha256:a7c35c12cdd043a3e991399ab39cc849612d82f2bc28f977b314696e1d436469", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005564", "prompt": "What value of x satisfies -4(x - 276) = -3x - 42?", "solution_steps": ["Expand: -4x + 1104 = -3x - 42", "Add 3x to both sides: -x + 1104 = -42", "Subtract 1104 from both sides: -x = -1146", "Divide both sides by -1: x = 1146"], "final_answer": "1146", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 276) = -3x - 42", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 276, \"c\": -3, \"d\": 42}", "seed": "14151864751402500434", "semantic_fingerprint": "sha256:009d4d7a03d6230a9064739a79ceaff184e25a16ea02ef54f5d86ca701ed5ca1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005565", "prompt": "Evaluate: -762 / (2 * (737 + (-156))) + (897 + 20)", "solution_steps": ["Add: 737 + (-156) = 581", "Multiply: 2 * 581 = 1162", "Divide: -762 / 1162 = -381/581", "Add: 897 + 20 = 917", "Add: -381/581 + 917 = 532396/581"], "final_answer": "532396/581", "answer_type": "rational", "kind": "expression", "math_text": "-762 / (2 * (737 + (-156))) + (897 + 20)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (* n (+ n n))) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -762, \"b\": 2, \"c\": 737, \"d\": -156, \"e\": 897, \"f\": 20}", "seed": "8328970139228950969", "semantic_fingerprint": "sha256:29dbe1ac1073dd2773d153225f24c8a0b6d759aeff22cb7979e26ccc72a179cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005566", "prompt": "What value of x satisfies -10(x - 503) = 9x - 4?", "solution_steps": ["Expand: -10x + 5030 = 9x - 4", "Subtract 9x from both sides: -19x + 5030 = -4", "Subtract 5030 from both sides: -19x = -5034", "Divide both sides by -19: x = 5034/19"], "final_answer": "5034/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 503) = 9x - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 503, \"c\": 9, \"d\": 4}", "seed": "369462837769420867", "semantic_fingerprint": "sha256:9f43cd65b5f2ab623d089adb4f5f32ef98c8af9df99d7c5bae0571c1e9c21231", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005567", "prompt": "Compute: -53 / (172 - 6 + 829)", "solution_steps": ["Subtract: 172 - 6 = 166", "Add: 166 + 829 = 995", "Divide: -53 / 995 = -53/995"], "final_answer": "-53/995", "answer_type": "rational", "kind": "expression", "math_text": "-53 / (172 - 6 + 829)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": 172, \"c\": 6, \"d\": 829}", "seed": "1721671739414198765", "semantic_fingerprint": "sha256:9722f1586c3fdb1981d86fafe7779ba76e96457df179df29198a4fd85add86f6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005568", "prompt": "Find x: 4(x + 6) + 7 = 6(x + 17) - 33", "solution_steps": ["Expand: 4x + 24 + 7 = 6(x + 17) - 33", "Expand: 4x + 24 + 7 = 6x + 102 - 33", "Combine constants: 4x + 31 = 6x + 102 - 33", "Combine constants: 4x + 31 = 6x + 69", "Subtract 6x from both sides: -2x + 31 = 69", "Subtract 31 from both sides: -2x = 38", "Divide both sides by -2: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 6) + 7 = 6(x + 17) - 33", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 7, \"d\": 6, \"e\": 17, \"g\": -33, \"x\": -19}", "seed": "34384429885486111", "semantic_fingerprint": "sha256:d17ffd6d704f222ae37c1b42ab7f9f5c90ae11fa5310332410f03cef12d8e943", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005569", "prompt": "Find x: 9(x - 36) = 6x - 276", "solution_steps": ["Expand: 9x - 324 = 6x - 276", "Subtract 6x from both sides: 3x - 324 = -276", "Add 324 to both sides: 3x = 48", "Divide both sides by 3: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 36) = 6x - 276", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 36, \"c\": 6, \"e\": -276, \"x\": 16}", "seed": "13098006932932496097", "semantic_fingerprint": "sha256:a8e62722e70dc4bb1d8af0ec20d04806dd378664ebc493b3ad5c306b5b9e020a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005570", "prompt": "Solve the equation 8(x - 109) + 848 = 10(x - 5) for x.", "solution_steps": ["Expand: 8x - 872 + 848 = 10(x - 5)", "Expand: 8x - 872 + 848 = 10x - 50", "Combine constants: 8x - 24 = 10x - 50", "Subtract 10x from both sides: -2x - 24 = -50", "Add 24 to both sides: -2x = -26", "Divide both sides by -2: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 109) + 848 = 10(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 109, \"c\": 10, \"d\": 5, \"f\": 848, \"x\": 13}", "seed": "10779249812435531052", "semantic_fingerprint": "sha256:68c38ba6dcb3b9d44506b9d19fc898896348a10042bb433d1d04187b8f96ed95", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005571", "prompt": "What value of x satisfies -4(x - 905) + 255 = -2x + 62?", "solution_steps": ["Expand: -4x + 3620 + 255 = -2x + 62", "Combine constants: -4x + 3875 = -2x + 62", "Add 2x to both sides: -2x + 3875 = 62", "Subtract 3875 from both sides: -2x = -3813", "Divide both sides by -2: x = 3813/2"], "final_answer": "3813/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 905) + 255 = -2x + 62", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 905, \"c\": 255, \"d\": -2, \"e\": 62}", "seed": "17148672640339975972", "semantic_fingerprint": "sha256:d89820733eada4d20ff9a2ee732743807a952ed89eccd9bfb1c7aaa0f308151f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005572", "prompt": "Solve the equation x - 4 = 4(x - 98) + 370 for x.", "solution_steps": ["Expand: x - 4 = 4x - 392 + 370", "Combine constants: x - 4 = 4x - 22", "Subtract 4x from both sides: -3x - 4 = -22", "Add 4 to both sides: -3x = -18", "Divide both sides by -3: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4 = 4(x - 98) + 370", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 4, \"c\": 98, \"e\": 370, \"x\": 6}", "seed": "7550361541204307742", "semantic_fingerprint": "sha256:d016d67f50e44e9d3489ab91b2ab57c8d1ff8c342cf9f783b578767d1bd887a3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005573", "prompt": "Find x: -7x - 16 = 4(x + 299) + 53", "solution_steps": ["Expand: -7x - 16 = 4x + 1196 + 53", "Combine constants: -7x - 16 = 4x + 1249", "Subtract 4x from both sides: -11x - 16 = 1249", "Add 16 to both sides: -11x = 1265", "Divide both sides by -11: x = -115"], "final_answer": "-115", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 16 = 4(x + 299) + 53", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 16, \"c\": 4, \"d\": 299, \"e\": 53}", "seed": "9467318048432209327", "semantic_fingerprint": "sha256:24bd72063180b76c38afb7384adbc5a440074ba11da9b6b3af3a9200d5ce30a2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005574", "prompt": "What is (68 * (-399) + (-59)) * (-6)?", "solution_steps": ["Multiply: 68 * (-399) = -27132", "Add: -27132 + (-59) = -27191", "Multiply: -27191 * (-6) = 163146"], "final_answer": "163146", "answer_type": "integer", "kind": "expression", "math_text": "(68 * (-399) + (-59)) * (-6)", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": -399, \"c\": -59, \"d\": -6}", "seed": "817085174815489690", "semantic_fingerprint": "sha256:39e8cf5851a04bfecd85eb46c2e850902b87e509ca319f06c3ee482d29d45396", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005575", "prompt": "What is -65 / (-9 * 15 - 2 - 54)?", "solution_steps": ["Multiply: -9 * 15 = -135", "Subtract: -135 - 2 = -137", "Subtract: -137 - 54 = -191", "Divide: -65 / (-191) = 65/191"], "final_answer": "65/191", "answer_type": "rational", "kind": "expression", "math_text": "-65 / (-9 * 15 - 2 - 54)", "variable": null, "family": "expression_4op", "shape": "(/ n (- (- (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -9, \"c\": 15, \"d\": 2, \"e\": 54}", "seed": "10363149264525581353", "semantic_fingerprint": "sha256:4c3c1fa5c21d1e639d66b54e77fcb9b0eb6152664fe2b2d98f95d4e3c06e95f5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005576", "prompt": "Compute: -4 - (-35) * 8 - (-8)", "solution_steps": ["Multiply: -35 * 8 = -280", "Subtract: -4 - (-280) = 276", "Subtract: 276 - (-8) = 284"], "final_answer": "284", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (-35) * 8 - (-8)", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -35, \"c\": 8, \"d\": -8}", "seed": "13640449627691435740", "semantic_fingerprint": "sha256:2f27d74264b5fad4aee2d16a97dc7c9080d0613afa8955277b8ccdb8d42ac621", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005577", "prompt": "Find x: 6(x - 90) - 67 = 12(x - 519) - 447", "solution_steps": ["Expand: 6x - 540 - 67 = 12(x - 519) - 447", "Expand: 6x - 540 - 67 = 12x - 6228 - 447", "Combine constants: 6x - 607 = 12x - 6228 - 447", "Combine constants: 6x - 607 = 12x - 6675", "Subtract 12x from both sides: -6x - 607 = -6675", "Add 607 to both sides: -6x = -6068", "Divide both sides by -6: x = 3034/3"], "final_answer": "3034/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 90) - 67 = 12(x - 519) - 447", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 90, \"c\": 67, \"d\": 12, \"e\": 519, \"f\": 447}", "seed": "17150101459227181771", "semantic_fingerprint": "sha256:f6eeebf2c443f7f23d47636bb97e6ae0e9303963737c334c47f4cbff7c393f82", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005578", "prompt": "What is -3 / ((-7 - (489 + 0)) * (-55 / 85))?", "solution_steps": ["Add: 489 + 0 = 489", "Subtract: -7 - 489 = -496", "Divide: -55 / 85 = -11/17", "Multiply: -496 * (-11/17) = 5456/17", "Divide: -3 / (5456/17) = -51/5456"], "final_answer": "-51/5456", "answer_type": "rational", "kind": "expression", "math_text": "-3 / ((-7 - (489 + 0)) * (-55 / 85))", "variable": null, "family": "expression_5op", "shape": "(/ n (* (- n (+ n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -7, \"c\": 489, \"d\": 0, \"e\": -55, \"f\": 85}", "seed": "15473701192538639283", "semantic_fingerprint": "sha256:9be9d76a0f75dff83ecb298f880bf680390d67efbf49d07a88cbde4458827d03", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005579", "prompt": "What value of x satisfies 11(x + 71) + 527 = 5(x + 6) - 905?", "solution_steps": ["Expand: 11x + 781 + 527 = 5(x + 6) - 905", "Expand: 11x + 781 + 527 = 5x + 30 - 905", "Combine constants: 11x + 1308 = 5x + 30 - 905", "Combine constants: 11x + 1308 = 5x - 875", "Subtract 5x from both sides: 6x + 1308 = -875", "Subtract 1308 from both sides: 6x = -2183", "Divide both sides by 6: x = -2183/6"], "final_answer": "-2183/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 71) + 527 = 5(x + 6) - 905", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 71, \"c\": 527, \"d\": 5, \"e\": 6, \"f\": 905}", "seed": "4212093446417569373", "semantic_fingerprint": "sha256:faf1174a6b23bdf209ad6e249d6e5b558061bc76feaa09821f2dbdfacdc2cb32", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005580", "prompt": "Find x: x - 75 = 11(x - 26) + 161", "solution_steps": ["Expand: x - 75 = 11x - 286 + 161", "Combine constants: x - 75 = 11x - 125", "Subtract 11x from both sides: -10x - 75 = -125", "Add 75 to both sides: -10x = -50", "Divide both sides by -10: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 75 = 11(x - 26) + 161", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 11, \"c\": 26, \"e\": 161, \"x\": 5}", "seed": "17667079743525546232", "semantic_fingerprint": "sha256:4ac0c7aa34e3efded976d603ddd0d29e7548dadd0d241f0fbfac3dfd5f8c8b2f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005581", "prompt": "Solve the equation -7(x - 6) + 53 = 4(x - 1) for x.", "solution_steps": ["Expand: -7x + 42 + 53 = 4(x - 1)", "Expand: -7x + 42 + 53 = 4x - 4", "Combine constants: -7x + 95 = 4x - 4", "Subtract 4x from both sides: -11x + 95 = -4", "Subtract 95 from both sides: -11x = -99", "Divide both sides by -11: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 6) + 53 = 4(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 6, \"c\": 4, \"d\": 1, \"f\": 53, \"x\": 9}", "seed": "17520224373306007326", "semantic_fingerprint": "sha256:16893d81283539c0375c7ab05845a7255dbf3de98eee7737d9132fa72330e9d5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005582", "prompt": "What value of x satisfies 2(x - 438) - 27 = -7(x - 554) - 510?", "solution_steps": ["Expand: 2x - 876 - 27 = -7(x - 554) - 510", "Expand: 2x - 876 - 27 = -7x + 3878 - 510", "Combine constants: 2x - 903 = -7x + 3878 - 510", "Combine constants: 2x - 903 = -7x + 3368", "Add 7x to both sides: 9x - 903 = 3368", "Add 903 to both sides: 9x = 4271", "Divide both sides by 9: x = 4271/9"], "final_answer": "4271/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 438) - 27 = -7(x - 554) - 510", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 438, \"c\": 27, \"d\": -7, \"e\": 554, \"f\": 510}", "seed": "167181997335428826", "semantic_fingerprint": "sha256:fb4cf296637a29c8a2853767dccce2105d3d2d2485f7b15a2a2d0d59bb52bbfc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005583", "prompt": "Evaluate: 404 - (-3 + 86) + 136", "solution_steps": ["Add: -3 + 86 = 83", "Subtract: 404 - 83 = 321", "Add: 321 + 136 = 457"], "final_answer": "457", "answer_type": "integer", "kind": "expression", "math_text": "404 - (-3 + 86) + 136", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 404, \"b\": -3, \"c\": 86, \"d\": 136}", "seed": "17659952594242083005", "semantic_fingerprint": "sha256:fa8dcb8ae11ddc8a4339746ff39b92d6e4719b889fd2502c65c537ef195f1c1f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005584", "prompt": "Calculate: (-34 - (-28)) / ((3 * (-8) + 8) * (-75))", "solution_steps": ["Subtract: -34 - (-28) = -6", "Multiply: 3 * (-8) = -24", "Add: -24 + 8 = -16", "Multiply: -16 * (-75) = 1200", "Divide: -6 / 1200 = -1/200"], "final_answer": "-1/200", "answer_type": "rational", "kind": "expression", "math_text": "(-34 - (-28)) / ((3 * (-8) + 8) * (-75))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (* (+ (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": -28, \"c\": 3, \"d\": -8, \"e\": 8, \"f\": -75}", "seed": "16457675124127936024", "semantic_fingerprint": "sha256:cc8bbe4ddb237e4f5a0ba25c56c63828c55e734407bfa03150d3d45aa41eb01e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005585", "prompt": "Evaluate: (34 - 684) / (83 - (651 + (-15)) - 40)", "solution_steps": ["Subtract: 34 - 684 = -650", "Add: 651 + (-15) = 636", "Subtract: 83 - 636 = -553", "Subtract: -553 - 40 = -593", "Divide: -650 / (-593) = 650/593"], "final_answer": "650/593", "answer_type": "rational", "kind": "expression", "math_text": "(34 - 684) / (83 - (651 + (-15)) - 40)", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (- (- n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": 684, \"c\": 83, \"d\": 651, \"e\": -15, \"f\": 40}", "seed": "5743485998407341418", "semantic_fingerprint": "sha256:27f77a611282db9392127f66e466b878c0406b649d0160f7c281dc90c2f3f1e7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005586", "prompt": "What is 21 * (-43) + (-902 * (-2 * 98) - (-8))?", "solution_steps": ["Multiply: 21 * (-43) = -903", "Multiply: -2 * 98 = -196", "Multiply: -902 * (-196) = 176792", "Subtract: 176792 - (-8) = 176800", "Add: -903 + 176800 = 175897"], "final_answer": "175897", "answer_type": "integer", "kind": "expression", "math_text": "21 * (-43) + (-902 * (-2 * 98) - (-8))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (- (* n (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": -43, \"c\": -902, \"d\": -2, \"e\": 98, \"f\": -8}", "seed": "9863363198135457884", "semantic_fingerprint": "sha256:461aab1e0c00bd569be7e2b6ce79eefc25fe34cb8cbd39dc831e92c4e214a2d6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005587", "prompt": "Calculate: (6 + (-80)) * (-3 / (-5) / (1 * (-88)))", "solution_steps": ["Add: 6 + (-80) = -74", "Divide: -3 / (-5) = 3/5", "Multiply: 1 * (-88) = -88", "Divide: (3/5) / (-88) = -3/440", "Multiply: -74 * (-3/440) = 111/220"], "final_answer": "111/220", "answer_type": "rational", "kind": "expression", "math_text": "(6 + (-80)) * (-3 / (-5) / (1 * (-88)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (/ (/ n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -80, \"c\": -3, \"d\": -5, \"e\": 1, \"f\": -88}", "seed": "9645749846227360109", "semantic_fingerprint": "sha256:0049dad16a70dfc525e848f6bbf101432a736573ff3d61a6b09aa8094cfae695", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005588", "prompt": "Find x: 10(x - 16) + 5 = 7(x + 7) - 165", "solution_steps": ["Expand: 10x - 160 + 5 = 7(x + 7) - 165", "Expand: 10x - 160 + 5 = 7x + 49 - 165", "Combine constants: 10x - 155 = 7x + 49 - 165", "Combine constants: 10x - 155 = 7x - 116", "Subtract 7x from both sides: 3x - 155 = -116", "Add 155 to both sides: 3x = 39", "Divide both sides by 3: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 16) + 5 = 7(x + 7) - 165", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 16, \"c\": 5, \"d\": 7, \"e\": 7, \"g\": -165, \"x\": 13}", "seed": "11017281919747768132", "semantic_fingerprint": "sha256:c3bdb71b38ab7df2047248d301c4223c7f89828f67a3d5fe2d55c326fd58e9e0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005589", "prompt": "Compute: (-59 + 0 + (-7)) * (-3)", "solution_steps": ["Add: -59 + 0 = -59", "Add: -59 + (-7) = -66", "Multiply: -66 * (-3) = 198"], "final_answer": "198", "answer_type": "integer", "kind": "expression", "math_text": "(-59 + 0 + (-7)) * (-3)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": 0, \"c\": -7, \"d\": -3}", "seed": "15420810712775610432", "semantic_fingerprint": "sha256:5eb18860623a3bf75491d264a6850bf724bd5d7d9b0d51a6ba39109d5163bc5b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005590", "prompt": "Solve the equation 6(x - 3) = 5x - 38 for x.", "solution_steps": ["Expand: 6x - 18 = 5x - 38", "Subtract 5x from both sides: x - 18 = -38", "Add 18 to both sides: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 3) = 5x - 38", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 5, \"e\": -38, \"x\": -20}", "seed": "9829469775566607773", "semantic_fingerprint": "sha256:2f7ffa541482b9a92bece4e16a7d44713e7b01953a73cd17a97102cc59bcb0c9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005591", "prompt": "What is -205 / (19 * (-189) / 1)?", "solution_steps": ["Multiply: 19 * (-189) = -3591", "Divide: -3591 / 1 = -3591", "Divide: -205 / (-3591) = 205/3591"], "final_answer": "205/3591", "answer_type": "rational", "kind": "expression", "math_text": "-205 / (19 * (-189) / 1)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -205, \"b\": 19, \"c\": -189, \"d\": 1}", "seed": "10688610767090534184", "semantic_fingerprint": "sha256:deb2a5f058968460ac940b9889039b64e1a909904738e7729adac7bb70b0a4ab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005592", "prompt": "Calculate: (103 - (-8)) / (7 / (-2 - (-398) + (-3)))", "solution_steps": ["Subtract: 103 - (-8) = 111", "Subtract: -2 - (-398) = 396", "Add: 396 + (-3) = 393", "Divide: 7 / 393 = 7/393", "Divide: 111 / (7/393) = 43623/7"], "final_answer": "43623/7", "answer_type": "rational", "kind": "expression", "math_text": "(103 - (-8)) / (7 / (-2 - (-398) + (-3)))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (/ n (+ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 103, \"b\": -8, \"c\": 7, \"d\": -2, \"e\": -398, \"f\": -3}", "seed": "12430391173894393636", "semantic_fingerprint": "sha256:3c82a91e8554a3794338b53c2f7d87021308744f93090f179468e1f2fd1fc99e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005593", "prompt": "Compute: 823 - (-150 - 0) + (773 + (-48))", "solution_steps": ["Subtract: -150 - 0 = -150", "Subtract: 823 - (-150) = 973", "Add: 773 + (-48) = 725", "Add: 973 + 725 = 1698"], "final_answer": "1698", "answer_type": "integer", "kind": "expression", "math_text": "823 - (-150 - 0) + (773 + (-48))", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 823, \"b\": -150, \"c\": 0, \"d\": 773, \"e\": -48}", "seed": "16734551778276742397", "semantic_fingerprint": "sha256:b74937cd0d4d3c569a6326d0c2b37f7a582a0ca62e09c37db8d4f1f52593ca2d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005594", "prompt": "Calculate: (-961 - (-9)) * (344 / 867)", "solution_steps": ["Subtract: -961 - (-9) = -952", "Divide: 344 / 867 = 344/867", "Multiply: -952 * (344/867) = -19264/51"], "final_answer": "-19264/51", "answer_type": "rational", "kind": "expression", "math_text": "(-961 - (-9)) * (344 / 867)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -961, \"b\": -9, \"c\": 344, \"d\": 867}", "seed": "6975829870499346316", "semantic_fingerprint": "sha256:b3a823454e667cf6a577c0977ae3fbb5d77b65e217d83e4d216fb583b470100f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005595", "prompt": "What value of x satisfies 3(x - 24) + 8 = -8x + 145?", "solution_steps": ["Expand: 3x - 72 + 8 = -8x + 145", "Combine constants: 3x - 64 = -8x + 145", "Add 8x to both sides: 11x - 64 = 145", "Add 64 to both sides: 11x = 209", "Divide both sides by 11: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 24) + 8 = -8x + 145", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 24, \"c\": 8, \"d\": -8, \"f\": 145, \"x\": 19}", "seed": "258930502358114021", "semantic_fingerprint": "sha256:71e1bf0fc5a0424921d96ae4a07a1e5b6a90b8f8cec7c93ec6ba943ab995e435", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005596", "prompt": "Evaluate: -270 - 88 / (3 * 32)", "solution_steps": ["Multiply: 3 * 32 = 96", "Divide: 88 / 96 = 11/12", "Subtract: -270 - 11/12 = -3251/12"], "final_answer": "-3251/12", "answer_type": "rational", "kind": "expression", "math_text": "-270 - 88 / (3 * 32)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -270, \"b\": 88, \"c\": 3, \"d\": 32}", "seed": "15158777150481572622", "semantic_fingerprint": "sha256:5ea9a72cf39d7071ab9a1fca186e5e8ed566d3d860b92ddfdcce8ad85d8f2097", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005597", "prompt": "Solve for x: 11(x - 44) + 12 = 3(x + 7) - 605", "solution_steps": ["Expand: 11x - 484 + 12 = 3(x + 7) - 605", "Expand: 11x - 484 + 12 = 3x + 21 - 605", "Combine constants: 11x - 472 = 3x + 21 - 605", "Combine constants: 11x - 472 = 3x - 584", "Subtract 3x from both sides: 8x - 472 = -584", "Add 472 to both sides: 8x = -112", "Divide both sides by 8: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 44) + 12 = 3(x + 7) - 605", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 44, \"c\": 12, \"d\": 3, \"e\": 7, \"g\": -605, \"x\": -14}", "seed": "12772652459317810737", "semantic_fingerprint": "sha256:1acac4df7dad4402d88b18347e4bac4724453924ca95f7948a2678d47bc04787", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005598", "prompt": "Find x: 11(x - 2) = -10x - 64", "solution_steps": ["Expand: 11x - 22 = -10x - 64", "Add 10x to both sides: 21x - 22 = -64", "Add 22 to both sides: 21x = -42", "Divide both sides by 21: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 2) = -10x - 64", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": -10, \"e\": -64, \"x\": -2}", "seed": "839643828802146583", "semantic_fingerprint": "sha256:e3569e27fd4f13e3ca3a69d8baba88a84e8df8625120a2079775d765d7ed4dd5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005599", "prompt": "Evaluate: (29 + 7 * 10) / (83 + 67 * 9)", "solution_steps": ["Multiply: 7 * 10 = 70", "Add: 29 + 70 = 99", "Multiply: 67 * 9 = 603", "Add: 83 + 603 = 686", "Divide: 99 / 686 = 99/686"], "final_answer": "99/686", "answer_type": "rational", "kind": "expression", "math_text": "(29 + 7 * 10) / (83 + 67 * 9)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (* n n)) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 7, \"c\": 10, \"d\": 83, \"e\": 67, \"f\": 9}", "seed": "15857791500088940642", "semantic_fingerprint": "sha256:b98d04dc68644e62d972100471b4e68d8efa9e7435d619cfc50bc99ac4a07b14", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005600", "prompt": "What is -37 / 3 * (1 + 1) / (46 + 1)?", "solution_steps": ["Divide: -37 / 3 = -37/3", "Add: 1 + 1 = 2", "Multiply: (-37/3) * 2 = -74/3", "Add: 46 + 1 = 47", "Divide: (-74/3) / 47 = -74/141"], "final_answer": "-74/141", "answer_type": "rational", "kind": "expression", "math_text": "-37 / 3 * (1 + 1) / (46 + 1)", "variable": null, "family": "expression_5op", "shape": "(/ (* (/ n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": 3, \"c\": 1, \"d\": 1, \"e\": 46, \"f\": 1}", "seed": "10339987178788907400", "semantic_fingerprint": "sha256:3f14b332e9173393ddeef29e97219877d4e85489b4d0517a9bbcacccc3e0ad30", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005601", "prompt": "What is 826 - (-20) + (-11 / 865 - (-5))?", "solution_steps": ["Subtract: 826 - (-20) = 846", "Divide: -11 / 865 = -11/865", "Subtract: -11/865 - (-5) = 4314/865", "Add: 846 + 4314/865 = 736104/865"], "final_answer": "736104/865", "answer_type": "rational", "kind": "expression", "math_text": "826 - (-20) + (-11 / 865 - (-5))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 826, \"b\": -20, \"c\": -11, \"d\": 865, \"e\": -5}", "seed": "16174020495703292746", "semantic_fingerprint": "sha256:93eac95e22a722f1d226f2d574be63c55b0a8414350d2310655b041232662dbf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005602", "prompt": "Find x: 11(x - 2) + 1 = 4x + 14", "solution_steps": ["Expand: 11x - 22 + 1 = 4x + 14", "Combine constants: 11x - 21 = 4x + 14", "Subtract 4x from both sides: 7x - 21 = 14", "Add 21 to both sides: 7x = 35", "Divide both sides by 7: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 2) + 1 = 4x + 14", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 1, \"d\": 4, \"f\": 14, \"x\": 5}", "seed": "5678095521447656689", "semantic_fingerprint": "sha256:995c8f8e6d463fccb0ff8a2d342b9c56280a6ae8231f99b6df4edb8d4212025e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005603", "prompt": "What is (6 + 330) / (13 / (-514))?", "solution_steps": ["Add: 6 + 330 = 336", "Divide: 13 / (-514) = -13/514", "Divide: 336 / (-13/514) = -172704/13"], "final_answer": "-172704/13", "answer_type": "rational", "kind": "expression", "math_text": "(6 + 330) / (13 / (-514))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 330, \"c\": 13, \"d\": -514}", "seed": "10297023828335047016", "semantic_fingerprint": "sha256:a81b4945c6c66389cff20a2ff780f42e7c3a3486bba5471825fd5e2c33c1be75", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005604", "prompt": "Solve for x: 6(x - 5) + 48 = 7(x + 32) - 191", "solution_steps": ["Expand: 6x - 30 + 48 = 7(x + 32) - 191", "Expand: 6x - 30 + 48 = 7x + 224 - 191", "Combine constants: 6x + 18 = 7x + 224 - 191", "Combine constants: 6x + 18 = 7x + 33", "Subtract 7x from both sides: -x + 18 = 33", "Subtract 18 from both sides: -x = 15", "Divide both sides by -1: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 5) + 48 = 7(x + 32) - 191", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 48, \"d\": 7, \"e\": 32, \"g\": -191, \"x\": -15}", "seed": "13129932203451212886", "semantic_fingerprint": "sha256:c7a31c117bd7e4fc5242b5f5a1028853abd484e03b6d7dd3b206593a0db9edf1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005605", "prompt": "Solve for x: 5(x - 2) - 42 = 8(x - 5) - 8", "solution_steps": ["Expand: 5x - 10 - 42 = 8(x - 5) - 8", "Expand: 5x - 10 - 42 = 8x - 40 - 8", "Combine constants: 5x - 52 = 8x - 40 - 8", "Combine constants: 5x - 52 = 8x - 48", "Subtract 8x from both sides: -3x - 52 = -48", "Add 52 to both sides: -3x = 4", "Divide both sides by -3: x = -4/3"], "final_answer": "-4/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 2) - 42 = 8(x - 5) - 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 42, \"d\": 8, \"e\": 5, \"f\": 8}", "seed": "5112596443621023006", "semantic_fingerprint": "sha256:472f6141fd8adad6ca0a2e9d2a1c47585167ea34d4a9ed32ee1ed46fb9189d52", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005606", "prompt": "What is (-722 + (-888) - (-38) / (-81)) / (-476)?", "solution_steps": ["Add: -722 + (-888) = -1610", "Divide: -38 / (-81) = 38/81", "Subtract: -1610 - 38/81 = -130448/81", "Divide: (-130448/81) / (-476) = 32612/9639"], "final_answer": "32612/9639", "answer_type": "rational", "kind": "expression", "math_text": "(-722 + (-888) - (-38) / (-81)) / (-476)", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -722, \"b\": -888, \"c\": -38, \"d\": -81, \"e\": -476}", "seed": "4187927550374437195", "semantic_fingerprint": "sha256:3bae1f7117c5bff0fb329213cd2b647cefda9398600b3064abc6cf876c3b0b12", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005607", "prompt": "What is 59 / 28 - (-2 * (37 - (-6)) - 983)?", "solution_steps": ["Divide: 59 / 28 = 59/28", "Subtract: 37 - (-6) = 43", "Multiply: -2 * 43 = -86", "Subtract: -86 - 983 = -1069", "Subtract: 59/28 - (-1069) = 29991/28"], "final_answer": "29991/28", "answer_type": "rational", "kind": "expression", "math_text": "59 / 28 - (-2 * (37 - (-6)) - 983)", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (- (* n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": 28, \"c\": -2, \"d\": 37, \"e\": -6, \"f\": 983}", "seed": "13927183255243553067", "semantic_fingerprint": "sha256:362565e648afe73ac5a1ee1b8f994a24684d6b60356692c7d4c8d91fac59c8e7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005608", "prompt": "Solve the equation -6(x - 76) + 9 = 8x + 409 for x.", "solution_steps": ["Expand: -6x + 456 + 9 = 8x + 409", "Combine constants: -6x + 465 = 8x + 409", "Subtract 8x from both sides: -14x + 465 = 409", "Subtract 465 from both sides: -14x = -56", "Divide both sides by -14: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 76) + 9 = 8x + 409", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 76, \"c\": 9, \"d\": 8, \"f\": 409, \"x\": 4}", "seed": "4164111359051648774", "semantic_fingerprint": "sha256:487a179d8e4af94b30d773bf864338ecf2d8b260a58aca6dc0d8e830ec646970", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005609", "prompt": "What is 65 + (-1 + (-2)) - 602?", "solution_steps": ["Add: -1 + (-2) = -3", "Add: 65 + (-3) = 62", "Subtract: 62 - 602 = -540"], "final_answer": "-540", "answer_type": "integer", "kind": "expression", "math_text": "65 + (-1 + (-2)) - 602", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -1, \"c\": -2, \"d\": 602}", "seed": "12792291615833781627", "semantic_fingerprint": "sha256:4d334725d868277241612ee5fe758f95eeb80544b07e49745a653ab942ed809b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005610", "prompt": "Compute: 82 / (3 - (-5) - (-7))", "solution_steps": ["Subtract: 3 - (-5) = 8", "Subtract: 8 - (-7) = 15", "Divide: 82 / 15 = 82/15"], "final_answer": "82/15", "answer_type": "rational", "kind": "expression", "math_text": "82 / (3 - (-5) - (-7))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 3, \"c\": -5, \"d\": -7}", "seed": "12934280319636296115", "semantic_fingerprint": "sha256:04b49aea52749e5ab1733ccaf3de332cb2e2f40b3a4f41b88d22c72848039f01", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005611", "prompt": "What is -75 / ((788 - 0) / (-3 - 942))?", "solution_steps": ["Subtract: 788 - 0 = 788", "Subtract: -3 - 942 = -945", "Divide: 788 / (-945) = -788/945", "Divide: -75 / (-788/945) = 70875/788"], "final_answer": "70875/788", "answer_type": "rational", "kind": "expression", "math_text": "-75 / ((788 - 0) / (-3 - 942))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (- n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 788, \"c\": 0, \"d\": -3, \"e\": 942}", "seed": "6650761423685746593", "semantic_fingerprint": "sha256:4558ed414ff28a36548d27752fbd549e0f886086183902c1456b3846d177e13b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005612", "prompt": "Evaluate: -51 - (-1) - (8 + (-4)) * (-216) * (-28)", "solution_steps": ["Subtract: -51 - (-1) = -50", "Add: 8 + (-4) = 4", "Multiply: 4 * (-216) = -864", "Multiply: -864 * (-28) = 24192", "Subtract: -50 - 24192 = -24242"], "final_answer": "-24242", "answer_type": "integer", "kind": "expression", "math_text": "-51 - (-1) - (8 + (-4)) * (-216) * (-28)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (* (* (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -1, \"c\": 8, \"d\": -4, \"e\": -216, \"f\": -28}", "seed": "5344758433429207473", "semantic_fingerprint": "sha256:f1abdea8ad95f747060318192cc8fb4640d639f322035e3cde34a0e618d79987", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005613", "prompt": "Compute: -1 - (-4 * (-50) + (-5))", "solution_steps": ["Multiply: -4 * (-50) = 200", "Add: 200 + (-5) = 195", "Subtract: -1 - 195 = -196"], "final_answer": "-196", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (-4 * (-50) + (-5))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -4, \"c\": -50, \"d\": -5}", "seed": "1095849555048141466", "semantic_fingerprint": "sha256:e018a4d3b680db66787f9b365c90f79d6c312608294463f3ad3aa87bdd09f179", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005614", "prompt": "Solve for x: 12x - 9 = 3(x + 4) + 123", "solution_steps": ["Expand: 12x - 9 = 3x + 12 + 123", "Combine constants: 12x - 9 = 3x + 135", "Subtract 3x from both sides: 9x - 9 = 135", "Add 9 to both sides: 9x = 144", "Divide both sides by 9: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 9 = 3(x + 4) + 123", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"c\": 3, \"d\": 4, \"f\": 123, \"x\": 16}", "seed": "1214679445307447849", "semantic_fingerprint": "sha256:1aed548a82d07c0d073bf6595035ee839c54548283881ee0c66f2b1e35081ff8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005615", "prompt": "Solve the equation -11(x - 5) + 355 = 10(x + 72) - 394 for x.", "solution_steps": ["Expand: -11x + 55 + 355 = 10(x + 72) - 394", "Expand: -11x + 55 + 355 = 10x + 720 - 394", "Combine constants: -11x + 410 = 10x + 720 - 394", "Combine constants: -11x + 410 = 10x + 326", "Subtract 10x from both sides: -21x + 410 = 326", "Subtract 410 from both sides: -21x = -84", "Divide both sides by -21: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 5) + 355 = 10(x + 72) - 394", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 5, \"c\": 355, \"d\": 10, \"e\": 72, \"g\": -394, \"x\": 4}", "seed": "8744983383811430936", "semantic_fingerprint": "sha256:9a71971afa394a1a9b8fa84d7a6b985074de38d23221cbb21d8edb4caa6d7c30", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005616", "prompt": "Evaluate: 593 / (-599 - (93 - 75 + 3)) + (-7)", "solution_steps": ["Subtract: 93 - 75 = 18", "Add: 18 + 3 = 21", "Subtract: -599 - 21 = -620", "Divide: 593 / (-620) = -593/620", "Add: -593/620 + (-7) = -4933/620"], "final_answer": "-4933/620", "answer_type": "rational", "kind": "expression", "math_text": "593 / (-599 - (93 - 75 + 3)) + (-7)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (- n (+ (- n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 593, \"b\": -599, \"c\": 93, \"d\": 75, \"e\": 3, \"f\": -7}", "seed": "14750409734477111399", "semantic_fingerprint": "sha256:d0c24d7b0cf474c791acef6047fd06687d45c8b95a92fbcc702f87864c65087b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005617", "prompt": "Compute: (69 + (-6) - 64) / ((809 - 9) / 97)", "solution_steps": ["Add: 69 + (-6) = 63", "Subtract: 63 - 64 = -1", "Subtract: 809 - 9 = 800", "Divide: 800 / 97 = 800/97", "Divide: -1 / (800/97) = -97/800"], "final_answer": "-97/800", "answer_type": "rational", "kind": "expression", "math_text": "(69 + (-6) - 64) / ((809 - 9) / 97)", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ n n) n) (/ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": -6, \"c\": 64, \"d\": 809, \"e\": 9, \"f\": 97}", "seed": "16042642694885955749", "semantic_fingerprint": "sha256:871ebdac3d6ad7d9703db48036f9a9b30c96ee20438e7f5203de851849f9bc27", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005618", "prompt": "Calculate: (-7 - 272) / (-1 * 2)", "solution_steps": ["Subtract: -7 - 272 = -279", "Multiply: -1 * 2 = -2", "Divide: -279 / (-2) = 279/2"], "final_answer": "279/2", "answer_type": "rational", "kind": "expression", "math_text": "(-7 - 272) / (-1 * 2)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 272, \"c\": -1, \"d\": 2}", "seed": "7222731701351585164", "semantic_fingerprint": "sha256:ed9e2a3bc4d2f5ff51d571670afebb17c25aa3f3157c443721fd25e2d9260d01", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005619", "prompt": "Evaluate: (-2 - (-62)) * (3 / 1) * 848", "solution_steps": ["Subtract: -2 - (-62) = 60", "Divide: 3 / 1 = 3", "Multiply: 60 * 3 = 180", "Multiply: 180 * 848 = 152640"], "final_answer": "152640", "answer_type": "integer", "kind": "expression", "math_text": "(-2 - (-62)) * (3 / 1) * 848", "variable": null, "family": "expression_4op", "shape": "(* (* (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -62, \"c\": 3, \"d\": 1, \"e\": 848}", "seed": "10239816068653168995", "semantic_fingerprint": "sha256:c7d7183796a07f4e6df04a136d178e4f0bbf68a520c93424582bad9680ec6679", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005620", "prompt": "Evaluate: 0 * (-5 - (-41) + 7)", "solution_steps": ["Subtract: -5 - (-41) = 36", "Add: 36 + 7 = 43", "Multiply: 0 * 43 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-5 - (-41) + 7)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -5, \"c\": -41, \"d\": 7}", "seed": "9991649579525839356", "semantic_fingerprint": "sha256:613650866b3ad7e5fac38ae176598080b0f82851705af5a934d415ccf0ad497f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005621", "prompt": "Compute: 6 * 62 / (-41) / (-2)", "solution_steps": ["Multiply: 6 * 62 = 372", "Divide: 372 / (-41) = -372/41", "Divide: (-372/41) / (-2) = 186/41"], "final_answer": "186/41", "answer_type": "rational", "kind": "expression", "math_text": "6 * 62 / (-41) / (-2)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 62, \"c\": -41, \"d\": -2}", "seed": "1102047293715621814", "semantic_fingerprint": "sha256:3ff9cd14bc5bf47f3b81dd117155126b5718acd071bc7121de80e1f18a2a2ebd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005622", "prompt": "What is (-9 - 81) * (11 / (-69))?", "solution_steps": ["Subtract: -9 - 81 = -90", "Divide: 11 / (-69) = -11/69", "Multiply: -90 * (-11/69) = 330/23"], "final_answer": "330/23", "answer_type": "rational", "kind": "expression", "math_text": "(-9 - 81) * (11 / (-69))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 81, \"c\": 11, \"d\": -69}", "seed": "17184965421964830947", "semantic_fingerprint": "sha256:2686f56459066ee493460c5a27dfbac7362f058faf2a7d40e84aa4da25b660a7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005623", "prompt": "What is (65 + (-82)) / (-51 - (0 - (-614)))?", "solution_steps": ["Add: 65 + (-82) = -17", "Subtract: 0 - (-614) = 614", "Subtract: -51 - 614 = -665", "Divide: -17 / (-665) = 17/665"], "final_answer": "17/665", "answer_type": "rational", "kind": "expression", "math_text": "(65 + (-82)) / (-51 - (0 - (-614)))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -82, \"c\": -51, \"d\": 0, \"e\": -614}", "seed": "11631138997059898718", "semantic_fingerprint": "sha256:1635f74ea1b676b516421aaa887302d2d20f3ca32588fda9c96e71367cf92ead", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005624", "prompt": "What is (726 / 42 + 310) / (3 + (-34))?", "solution_steps": ["Divide: 726 / 42 = 121/7", "Add: 121/7 + 310 = 2291/7", "Add: 3 + (-34) = -31", "Divide: (2291/7) / (-31) = -2291/217"], "final_answer": "-2291/217", "answer_type": "rational", "kind": "expression", "math_text": "(726 / 42 + 310) / (3 + (-34))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 726, \"b\": 42, \"c\": 310, \"d\": 3, \"e\": -34}", "seed": "7317014630921451610", "semantic_fingerprint": "sha256:9a1c09c59a34e3c0937294ce58e54afd6c433fd90f6ef9953eaa8b6f9d9b2985", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005625", "prompt": "What is 653 * (-608 + 129) - (8 + (15 + 33))?", "solution_steps": ["Add: -608 + 129 = -479", "Multiply: 653 * (-479) = -312787", "Add: 15 + 33 = 48", "Add: 8 + 48 = 56", "Subtract: -312787 - 56 = -312843"], "final_answer": "-312843", "answer_type": "integer", "kind": "expression", "math_text": "653 * (-608 + 129) - (8 + (15 + 33))", "variable": null, "family": "expression_5op", "shape": "(- (* n (+ n n)) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 653, \"b\": -608, \"c\": 129, \"d\": 8, \"e\": 15, \"f\": 33}", "seed": "205141929698862040", "semantic_fingerprint": "sha256:ba646df47f15e4696e39cfdc977206cf00e944bf8c2167f21a554dd10d24a3e9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005626", "prompt": "Find x: 7(x - 8) - 10 = 12(x - 6)", "solution_steps": ["Expand: 7x - 56 - 10 = 12(x - 6)", "Expand: 7x - 56 - 10 = 12x - 72", "Combine constants: 7x - 66 = 12x - 72", "Subtract 12x from both sides: -5x - 66 = -72", "Add 66 to both sides: -5x = -6", "Divide both sides by -5: x = 6/5"], "final_answer": "6/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 8) - 10 = 12(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 10, \"d\": 12, \"e\": 6}", "seed": "6768668028972629811", "semantic_fingerprint": "sha256:7e6fb3ed211b05c1cffb34abdbc2f4523c6b8f0fd48b5d6f1b78fc72070a6ce4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005627", "prompt": "Calculate: -319 + (9 + (3 - 0)) + (-93) / 4", "solution_steps": ["Subtract: 3 - 0 = 3", "Add: 9 + 3 = 12", "Add: -319 + 12 = -307", "Divide: -93 / 4 = -93/4", "Add: -307 + (-93/4) = -1321/4"], "final_answer": "-1321/4", "answer_type": "rational", "kind": "expression", "math_text": "-319 + (9 + (3 - 0)) + (-93) / 4", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (+ n (- n n))) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -319, \"b\": 9, \"c\": 3, \"d\": 0, \"e\": -93, \"f\": 4}", "seed": "639524314000469405", "semantic_fingerprint": "sha256:ade666bb009067736e8eaf2a5c8a1c92b81467774ba87f5679aeca3392e905f7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005628", "prompt": "Solve the equation 3(x - 43) - 95 = -6(x - 6) - 5 for x.", "solution_steps": ["Expand: 3x - 129 - 95 = -6(x - 6) - 5", "Expand: 3x - 129 - 95 = -6x + 36 - 5", "Combine constants: 3x - 224 = -6x + 36 - 5", "Combine constants: 3x - 224 = -6x + 31", "Add 6x to both sides: 9x - 224 = 31", "Add 224 to both sides: 9x = 255", "Divide both sides by 9: x = 85/3"], "final_answer": "85/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 43) - 95 = -6(x - 6) - 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 43, \"c\": 95, \"d\": -6, \"e\": 6, \"f\": 5}", "seed": "13132580337739992658", "semantic_fingerprint": "sha256:d2f54b10c3f9f0bd9c3a21592fb49e7652f6b9a93c5cbd1f15cbc3b4f0c9ccb5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005629", "prompt": "Solve the equation -9(x - 7) + 91 = 12(x + 377) - 49 for x.", "solution_steps": ["Expand: -9x + 63 + 91 = 12(x + 377) - 49", "Expand: -9x + 63 + 91 = 12x + 4524 - 49", "Combine constants: -9x + 154 = 12x + 4524 - 49", "Combine constants: -9x + 154 = 12x + 4475", "Subtract 12x from both sides: -21x + 154 = 4475", "Subtract 154 from both sides: -21x = 4321", "Divide both sides by -21: x = -4321/21"], "final_answer": "-4321/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 7) + 91 = 12(x + 377) - 49", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 7, \"c\": 91, \"d\": 12, \"e\": 377, \"f\": 49}", "seed": "10913834262526799973", "semantic_fingerprint": "sha256:ee399289154da4fd2e066e1d0892823cba0da2bc67e75f2dc070068edb955626", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005630", "prompt": "Calculate: 8 - (34 / (-659 + 29) + 4) + 1", "solution_steps": ["Add: -659 + 29 = -630", "Divide: 34 / (-630) = -17/315", "Add: -17/315 + 4 = 1243/315", "Subtract: 8 - 1243/315 = 1277/315", "Add: 1277/315 + 1 = 1592/315"], "final_answer": "1592/315", "answer_type": "rational", "kind": "expression", "math_text": "8 - (34 / (-659 + 29) + 4) + 1", "variable": null, "family": "expression_5op", "shape": "(+ (- n (+ (/ n (+ n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 34, \"c\": -659, \"d\": 29, \"e\": 4, \"f\": 1}", "seed": "9119475757604223084", "semantic_fingerprint": "sha256:b527a6b634d0a5db80205754f8702481a4c9dc1c72478391df548aa0ed2868cc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005631", "prompt": "Evaluate: -513 + (44 + 268) - 4", "solution_steps": ["Add: 44 + 268 = 312", "Add: -513 + 312 = -201", "Subtract: -201 - 4 = -205"], "final_answer": "-205", "answer_type": "integer", "kind": "expression", "math_text": "-513 + (44 + 268) - 4", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -513, \"b\": 44, \"c\": 268, \"d\": 4}", "seed": "1599096355225926021", "semantic_fingerprint": "sha256:a9e5385a29f1764d9917a3e349ffb28bbd4f3d1caf2323b4c694c8df1a65f02b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005632", "prompt": "Evaluate: -4 + 83 / 72 / (-40)", "solution_steps": ["Divide: 83 / 72 = 83/72", "Divide: (83/72) / (-40) = -83/2880", "Add: -4 + (-83/2880) = -11603/2880"], "final_answer": "-11603/2880", "answer_type": "rational", "kind": "expression", "math_text": "-4 + 83 / 72 / (-40)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 83, \"c\": 72, \"d\": -40}", "seed": "11870729314531475974", "semantic_fingerprint": "sha256:19e541deffdf53ee69448ea3929ec2b947cc9f68933155c491c204f9b2159f18", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005633", "prompt": "Solve the equation 10(x - 67) + 71 = -7(x + 30) - 49 for x.", "solution_steps": ["Expand: 10x - 670 + 71 = -7(x + 30) - 49", "Expand: 10x - 670 + 71 = -7x - 210 - 49", "Combine constants: 10x - 599 = -7x - 210 - 49", "Combine constants: 10x - 599 = -7x - 259", "Add 7x to both sides: 17x - 599 = -259", "Add 599 to both sides: 17x = 340", "Divide both sides by 17: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 67) + 71 = -7(x + 30) - 49", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 67, \"c\": 71, \"d\": -7, \"e\": 30, \"g\": -49, \"x\": 20}", "seed": "13159059875920240514", "semantic_fingerprint": "sha256:a915303b85eb67dc26ff481cbafe30da31228363d8b197ae8a06e425cff72fce", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005634", "prompt": "Calculate: 50 + (50 * 7 - 454)", "solution_steps": ["Multiply: 50 * 7 = 350", "Subtract: 350 - 454 = -104", "Add: 50 + (-104) = -54"], "final_answer": "-54", "answer_type": "integer", "kind": "expression", "math_text": "50 + (50 * 7 - 454)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": 50, \"c\": 7, \"d\": 454}", "seed": "14770821974878157172", "semantic_fingerprint": "sha256:a3646b1f7a271cbd3087a8b38b9ab7b8f129811ec11c40f3af1afde7dfcdd250", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005635", "prompt": "Evaluate: -53 * 82 / (0 + (-41))", "solution_steps": ["Multiply: -53 * 82 = -4346", "Add: 0 + (-41) = -41", "Divide: -4346 / (-41) = 106"], "final_answer": "106", "answer_type": "integer", "kind": "expression", "math_text": "-53 * 82 / (0 + (-41))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": 82, \"c\": 0, \"d\": -41}", "seed": "10798470899320678493", "semantic_fingerprint": "sha256:fc5a55dc366723e681fa72ae54b742a7e64243f9d94fccbd974f38cfd7cb5cf8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005636", "prompt": "Evaluate: -5 + (-5) / (-6) / 40", "solution_steps": ["Divide: -5 / (-6) = 5/6", "Divide: (5/6) / 40 = 1/48", "Add: -5 + 1/48 = -239/48"], "final_answer": "-239/48", "answer_type": "rational", "kind": "expression", "math_text": "-5 + (-5) / (-6) / 40", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -5, \"c\": -6, \"d\": 40}", "seed": "14151487557023387646", "semantic_fingerprint": "sha256:f0a68ec189aff18af057ac5a5b46ff07ecbe3bb681c3a7c019a98406d7c9cc60", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005637", "prompt": "Solve for x: 12(x - 1) - 39 = 9(x - 4) - 54", "solution_steps": ["Expand: 12x - 12 - 39 = 9(x - 4) - 54", "Expand: 12x - 12 - 39 = 9x - 36 - 54", "Combine constants: 12x - 51 = 9x - 36 - 54", "Combine constants: 12x - 51 = 9x - 90", "Subtract 9x from both sides: 3x - 51 = -90", "Add 51 to both sides: 3x = -39", "Divide both sides by 3: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 1) - 39 = 9(x - 4) - 54", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 1, \"c\": 39, \"d\": 9, \"e\": 4, \"g\": -54, \"x\": -13}", "seed": "11014991265233727347", "semantic_fingerprint": "sha256:71a476883dc3f72e3335adf549ca5f78d0957810c0957f025633e0bf8e83ae2b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005638", "prompt": "Calculate: -109 / (-3 * 4) + (7 + (-160))", "solution_steps": ["Multiply: -3 * 4 = -12", "Divide: -109 / (-12) = 109/12", "Add: 7 + (-160) = -153", "Add: 109/12 + (-153) = -1727/12"], "final_answer": "-1727/12", "answer_type": "rational", "kind": "expression", "math_text": "-109 / (-3 * 4) + (7 + (-160))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -109, \"b\": -3, \"c\": 4, \"d\": 7, \"e\": -160}", "seed": "10643829886696545507", "semantic_fingerprint": "sha256:1bfabe61caf7b9c0d595a3cbd4d6402608992ca27c7b17f0d5bfdd1bd5cf88bd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005639", "prompt": "Compute: 88 / 6 + (-7) / 58", "solution_steps": ["Divide: 88 / 6 = 44/3", "Divide: -7 / 58 = -7/58", "Add: 44/3 + (-7/58) = 2531/174"], "final_answer": "2531/174", "answer_type": "rational", "kind": "expression", "math_text": "88 / 6 + (-7) / 58", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 6, \"c\": -7, \"d\": 58}", "seed": "15275317562317850632", "semantic_fingerprint": "sha256:1a7dbf7db9ea6141aa7ebeb5e4e6c8e2317a9822fa5ff9bd4efd3284abdaf3ea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005640", "prompt": "Evaluate: 348 / (-2 - (-2) - (-77))", "solution_steps": ["Subtract: -2 - (-2) = 0", "Subtract: 0 - (-77) = 77", "Divide: 348 / 77 = 348/77"], "final_answer": "348/77", "answer_type": "rational", "kind": "expression", "math_text": "348 / (-2 - (-2) - (-77))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 348, \"b\": -2, \"c\": -2, \"d\": -77}", "seed": "10821905491407826941", "semantic_fingerprint": "sha256:343c4702551ae395ad595bebdf2decb09d6ce8a318401e617166edcee291981d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005641", "prompt": "Calculate: -48 * 1 / (476 + 9)", "solution_steps": ["Multiply: -48 * 1 = -48", "Add: 476 + 9 = 485", "Divide: -48 / 485 = -48/485"], "final_answer": "-48/485", "answer_type": "rational", "kind": "expression", "math_text": "-48 * 1 / (476 + 9)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": 1, \"c\": 476, \"d\": 9}", "seed": "18441405196126146403", "semantic_fingerprint": "sha256:e9624563169c9e17af7a3db15615acf0a28b8ef92252ee0fb8d9cbe1d0447321", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005642", "prompt": "Evaluate: 747 / 9 + (-308) / 77", "solution_steps": ["Divide: 747 / 9 = 83", "Divide: -308 / 77 = -4", "Add: 83 + (-4) = 79"], "final_answer": "79", "answer_type": "integer", "kind": "expression", "math_text": "747 / 9 + (-308) / 77", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 747, \"b\": 9, \"c\": -308, \"d\": 77}", "seed": "5101503061688015404", "semantic_fingerprint": "sha256:0f6e86d82d504e628a6253e808a2ca55b66ece5783e4169e38749694d59b0359", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005643", "prompt": "Evaluate: -91 / 96 - (-864) - 984", "solution_steps": ["Divide: -91 / 96 = -91/96", "Subtract: -91/96 - (-864) = 82853/96", "Subtract: 82853/96 - 984 = -11611/96"], "final_answer": "-11611/96", "answer_type": "rational", "kind": "expression", "math_text": "-91 / 96 - (-864) - 984", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": 96, \"c\": -864, \"d\": 984}", "seed": "3896405715294135981", "semantic_fingerprint": "sha256:ddbba829440c9f0d116d49aea17104d08bd2475fef26d38c2b9ea75f00c1ab3a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005644", "prompt": "What value of x satisfies 6(x - 81) - 226 = 4(x - 186)?", "solution_steps": ["Expand: 6x - 486 - 226 = 4(x - 186)", "Expand: 6x - 486 - 226 = 4x - 744", "Combine constants: 6x - 712 = 4x - 744", "Subtract 4x from both sides: 2x - 712 = -744", "Add 712 to both sides: 2x = -32", "Divide both sides by 2: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 81) - 226 = 4(x - 186)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 81, \"c\": 4, \"d\": 186, \"f\": -226, \"x\": -16}", "seed": "1991509461632126634", "semantic_fingerprint": "sha256:2de848a98e220bed1de8c20fe9d438d98ec310acd1e7d9c1c767402b4b105a85", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005645", "prompt": "Find x: -6(x - 3) - 986 = 2(x - 548)", "solution_steps": ["Expand: -6x + 18 - 986 = 2(x - 548)", "Expand: -6x + 18 - 986 = 2x - 1096", "Combine constants: -6x - 968 = 2x - 1096", "Subtract 2x from both sides: -8x - 968 = -1096", "Add 968 to both sides: -8x = -128", "Divide both sides by -8: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 3) - 986 = 2(x - 548)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 3, \"c\": 2, \"d\": 548, \"f\": -986, \"x\": 16}", "seed": "583981975795599189", "semantic_fingerprint": "sha256:1cec0adf05b542ebf86b9643b1d77d89ffe4a5569fa9dda2b884213af94e7679", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005646", "prompt": "Evaluate: 57 + (-93) / (618 - (-65))", "solution_steps": ["Subtract: 618 - (-65) = 683", "Divide: -93 / 683 = -93/683", "Add: 57 + (-93/683) = 38838/683"], "final_answer": "38838/683", "answer_type": "rational", "kind": "expression", "math_text": "57 + (-93) / (618 - (-65))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": -93, \"c\": 618, \"d\": -65}", "seed": "12932469151277774343", "semantic_fingerprint": "sha256:a1a9e2046cd6c505ca6224c435a83f425454c3b3810c8cfbc77ed1504cca3f3d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005647", "prompt": "Calculate: (99 + 946) / (858 * (-53)) * (-8 * 464)", "solution_steps": ["Add: 99 + 946 = 1045", "Multiply: 858 * (-53) = -45474", "Divide: 1045 / (-45474) = -95/4134", "Multiply: -8 * 464 = -3712", "Multiply: (-95/4134) * (-3712) = 176320/2067"], "final_answer": "176320/2067", "answer_type": "rational", "kind": "expression", "math_text": "(99 + 946) / (858 * (-53)) * (-8 * 464)", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ n n) (* n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": 946, \"c\": 858, \"d\": -53, \"e\": -8, \"f\": 464}", "seed": "5912882088717731172", "semantic_fingerprint": "sha256:dd121d0a13b0b801eba874b7a4421b238d60c6b54e10c174148620c4898fae0e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005648", "prompt": "What value of x satisfies 2(x + 304) + 146 = 10(x + 26) - 1?", "solution_steps": ["Expand: 2x + 608 + 146 = 10(x + 26) - 1", "Expand: 2x + 608 + 146 = 10x + 260 - 1", "Combine constants: 2x + 754 = 10x + 260 - 1", "Combine constants: 2x + 754 = 10x + 259", "Subtract 10x from both sides: -8x + 754 = 259", "Subtract 754 from both sides: -8x = -495", "Divide both sides by -8: x = 495/8"], "final_answer": "495/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 304) + 146 = 10(x + 26) - 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 304, \"c\": 146, \"d\": 10, \"e\": 26, \"f\": 1}", "seed": "4987174642128880281", "semantic_fingerprint": "sha256:d22249a1fad2baeeb7338858ae525924d4f5dc7b965a0314f68263c2bd757378", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005649", "prompt": "Evaluate: (-370 * (-31) - (-7)) * (-50 / (3 - (-4)))", "solution_steps": ["Multiply: -370 * (-31) = 11470", "Subtract: 11470 - (-7) = 11477", "Subtract: 3 - (-4) = 7", "Divide: -50 / 7 = -50/7", "Multiply: 11477 * (-50/7) = -573850/7"], "final_answer": "-573850/7", "answer_type": "rational", "kind": "expression", "math_text": "(-370 * (-31) - (-7)) * (-50 / (3 - (-4)))", "variable": null, "family": "expression_5op", "shape": "(* (- (* n n) n) (/ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -370, \"b\": -31, \"c\": -7, \"d\": -50, \"e\": 3, \"f\": -4}", "seed": "17187172991988501895", "semantic_fingerprint": "sha256:b4edf6139ce85b8c6bddd25bd3b49ebef6e54747a4d581a6852fcfd1240b041d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005650", "prompt": "What value of x satisfies 9(x - 5) = 2x - 171?", "solution_steps": ["Expand: 9x - 45 = 2x - 171", "Subtract 2x from both sides: 7x - 45 = -171", "Add 45 to both sides: 7x = -126", "Divide both sides by 7: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 5) = 2x - 171", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 2, \"e\": -171, \"x\": -18}", "seed": "3034389852717866345", "semantic_fingerprint": "sha256:d9667addab898b61f87883d0a48ca88c5714b47619f20d800e4121c8f8bf3e26", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005651", "prompt": "Calculate: (836 - (-36)) * (8 * 47)", "solution_steps": ["Subtract: 836 - (-36) = 872", "Multiply: 8 * 47 = 376", "Multiply: 872 * 376 = 327872"], "final_answer": "327872", "answer_type": "integer", "kind": "expression", "math_text": "(836 - (-36)) * (8 * 47)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 836, \"b\": -36, \"c\": 8, \"d\": 47}", "seed": "7887189090022749209", "semantic_fingerprint": "sha256:040756d3bd6de8d7c4cf0ec0f5494be07d1794134cb90a60f02cb831ea6f82d0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005652", "prompt": "Find x: 8(x - 39) = 10x - 302", "solution_steps": ["Expand: 8x - 312 = 10x - 302", "Subtract 10x from both sides: -2x - 312 = -302", "Add 312 to both sides: -2x = 10", "Divide both sides by -2: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 39) = 10x - 302", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 39, \"c\": 10, \"e\": -302, \"x\": -5}", "seed": "4950627223284024646", "semantic_fingerprint": "sha256:9092756dd63c9314b774ea6519e275000e15fe35a98ebd5663fbdf06ed95f182", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005653", "prompt": "Evaluate: (9 - 26) / (-49 * (-40 + (-146)) + 9)", "solution_steps": ["Subtract: 9 - 26 = -17", "Add: -40 + (-146) = -186", "Multiply: -49 * (-186) = 9114", "Add: 9114 + 9 = 9123", "Divide: -17 / 9123 = -17/9123"], "final_answer": "-17/9123", "answer_type": "rational", "kind": "expression", "math_text": "(9 - 26) / (-49 * (-40 + (-146)) + 9)", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (+ (* n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 26, \"c\": -49, \"d\": -40, \"e\": -146, \"f\": 9}", "seed": "5981080571124194508", "semantic_fingerprint": "sha256:91bd4868f7f93f56939223ecb42cbee617d6b50b0092f777181bc2b0ecb8bf31", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005654", "prompt": "What is 6 - (-7 - (-195 - (-51)))?", "solution_steps": ["Subtract: -195 - (-51) = -144", "Subtract: -7 - (-144) = 137", "Subtract: 6 - 137 = -131"], "final_answer": "-131", "answer_type": "integer", "kind": "expression", "math_text": "6 - (-7 - (-195 - (-51)))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -7, \"c\": -195, \"d\": -51}", "seed": "16143653465254006599", "semantic_fingerprint": "sha256:12a2e27789dd9418ec0cbb8cd88a33db19a42c172ad154091bcd7a9e017f0435", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005655", "prompt": "Evaluate: (-5 - 99) * 745 - 1 * (-958)", "solution_steps": ["Subtract: -5 - 99 = -104", "Multiply: -104 * 745 = -77480", "Multiply: 1 * (-958) = -958", "Subtract: -77480 - (-958) = -76522"], "final_answer": "-76522", "answer_type": "integer", "kind": "expression", "math_text": "(-5 - 99) * 745 - 1 * (-958)", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 99, \"c\": 745, \"d\": 1, \"e\": -958}", "seed": "53630935771869129", "semantic_fingerprint": "sha256:4695b6e85211abf44a99ec6469eccbfcf3674b3282784daa6a6b22b98130e0be", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005656", "prompt": "What is -753 - 8 - (-7) * (-65 * (-29))?", "solution_steps": ["Subtract: -753 - 8 = -761", "Multiply: -65 * (-29) = 1885", "Multiply: -7 * 1885 = -13195", "Subtract: -761 - (-13195) = 12434"], "final_answer": "12434", "answer_type": "integer", "kind": "expression", "math_text": "-753 - 8 - (-7) * (-65 * (-29))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -753, \"b\": 8, \"c\": -7, \"d\": -65, \"e\": -29}", "seed": "5367578023641246222", "semantic_fingerprint": "sha256:49a8ae849a54137400aa80adee4a54afa47ece7347505132139c7ab559968ffc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005657", "prompt": "Compute: 1 - (-975 - (228 / (-1) + (-69) * 738))", "solution_steps": ["Divide: 228 / (-1) = -228", "Multiply: -69 * 738 = -50922", "Add: -228 + (-50922) = -51150", "Subtract: -975 - (-51150) = 50175", "Subtract: 1 - 50175 = -50174"], "final_answer": "-50174", "answer_type": "integer", "kind": "expression", "math_text": "1 - (-975 - (228 / (-1) + (-69) * 738))", "variable": null, "family": "expression_5op", "shape": "(- n (- n (+ (/ n n) (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -975, \"c\": 228, \"d\": -1, \"e\": -69, \"f\": 738}", "seed": "3901747352959298728", "semantic_fingerprint": "sha256:a4da2cc197be7611406d97eb833583849dd8bf1f207c4611fcd2883aa885f2d5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005658", "prompt": "What is 310 * (-3 * (-45 - (-2)))?", "solution_steps": ["Subtract: -45 - (-2) = -43", "Multiply: -3 * (-43) = 129", "Multiply: 310 * 129 = 39990"], "final_answer": "39990", "answer_type": "integer", "kind": "expression", "math_text": "310 * (-3 * (-45 - (-2)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 310, \"b\": -3, \"c\": -45, \"d\": -2}", "seed": "1458158305273528302", "semantic_fingerprint": "sha256:509970e1d72ae9253ac01f3cebb741a7cdd82722a4001222ae8144bed2081aa3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005659", "prompt": "Calculate: (-805 - (-884) + 57 / 4) * (6 + 80)", "solution_steps": ["Subtract: -805 - (-884) = 79", "Divide: 57 / 4 = 57/4", "Add: 79 + 57/4 = 373/4", "Add: 6 + 80 = 86", "Multiply: (373/4) * 86 = 16039/2"], "final_answer": "16039/2", "answer_type": "rational", "kind": "expression", "math_text": "(-805 - (-884) + 57 / 4) * (6 + 80)", "variable": null, "family": "expression_5op", "shape": "(* (+ (- n n) (/ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -805, \"b\": -884, \"c\": 57, \"d\": 4, \"e\": 6, \"f\": 80}", "seed": "14819682255521139156", "semantic_fingerprint": "sha256:9ce2423638a72a075ef47e0354eb785be0e862dea822199349ce9d8d7b779241", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005660", "prompt": "Evaluate: -31 * 190 / (7 + 31) / (-27)", "solution_steps": ["Multiply: -31 * 190 = -5890", "Add: 7 + 31 = 38", "Divide: -5890 / 38 = -155", "Divide: -155 / (-27) = 155/27"], "final_answer": "155/27", "answer_type": "rational", "kind": "expression", "math_text": "-31 * 190 / (7 + 31) / (-27)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -31, \"b\": 190, \"c\": 7, \"d\": 31, \"e\": -27}", "seed": "4512358184587713105", "semantic_fingerprint": "sha256:39f7294d58be9139a7279c392a03684bac3cbcc27a0383736b9cd1f72fef73cc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005661", "prompt": "Evaluate: -9 / (-1 - (-7) * (0 - (-5))) + (-1)", "solution_steps": ["Subtract: 0 - (-5) = 5", "Multiply: -7 * 5 = -35", "Subtract: -1 - (-35) = 34", "Divide: -9 / 34 = -9/34", "Add: -9/34 + (-1) = -43/34"], "final_answer": "-43/34", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-1 - (-7) * (0 - (-5))) + (-1)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (- n (* n (- n n)))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -1, \"c\": -7, \"d\": 0, \"e\": -5, \"f\": -1}", "seed": "13262326659467505868", "semantic_fingerprint": "sha256:34841c376effbac6d66c4c2e70a559aa460db228296417b8d7ab5d004a0cb1b4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005662", "prompt": "Calculate: (0 - 1 + (-583)) * 0", "solution_steps": ["Subtract: 0 - 1 = -1", "Add: -1 + (-583) = -584", "Multiply: -584 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(0 - 1 + (-583)) * 0", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 1, \"c\": -583, \"d\": 0}", "seed": "16030333607466893901", "semantic_fingerprint": "sha256:795ba249a57760dd22981d7d1fb93e30f9fb14ea9ebff992608e9b446a7bf42b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005663", "prompt": "Solve for x: -2(x + 416) - 1 = x - 773", "solution_steps": ["Expand: -2x - 832 - 1 = x - 773", "Combine constants: -2x - 833 = x - 773", "Subtract x from both sides: -3x - 833 = -773", "Add 833 to both sides: -3x = 60", "Divide both sides by -3: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 416) - 1 = x - 773", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 416, \"c\": 1, \"e\": -773, \"x\": -20}", "seed": "1545975579394039921", "semantic_fingerprint": "sha256:6c21a0c491f6b3b0ed451c6ee0460f35c738b49bb1706f68d434155cf01b7df6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005664", "prompt": "Evaluate: 22 + (-8) - (-1 + (-83))", "solution_steps": ["Add: 22 + (-8) = 14", "Add: -1 + (-83) = -84", "Subtract: 14 - (-84) = 98"], "final_answer": "98", "answer_type": "integer", "kind": "expression", "math_text": "22 + (-8) - (-1 + (-83))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": -8, \"c\": -1, \"d\": -83}", "seed": "7082154132813385192", "semantic_fingerprint": "sha256:d55fa86cdfa90c6d53a9d243fe48bd2fe096bff81e2570b9d8daae17c5713ed9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005665", "prompt": "Compute: (-3 + 77) / (-966 - 43) * (940 - 5)", "solution_steps": ["Add: -3 + 77 = 74", "Subtract: -966 - 43 = -1009", "Divide: 74 / (-1009) = -74/1009", "Subtract: 940 - 5 = 935", "Multiply: (-74/1009) * 935 = -69190/1009"], "final_answer": "-69190/1009", "answer_type": "rational", "kind": "expression", "math_text": "(-3 + 77) / (-966 - 43) * (940 - 5)", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ n n) (- n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 77, \"c\": -966, \"d\": 43, \"e\": 940, \"f\": 5}", "seed": "10623330942621463432", "semantic_fingerprint": "sha256:28c388656cc43c7f274cf4538254c42a102356c3af432972d001656eafa47f95", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005666", "prompt": "What is 423 / (-79 * 37) - 47?", "solution_steps": ["Multiply: -79 * 37 = -2923", "Divide: 423 / (-2923) = -423/2923", "Subtract: -423/2923 - 47 = -137804/2923"], "final_answer": "-137804/2923", "answer_type": "rational", "kind": "expression", "math_text": "423 / (-79 * 37) - 47", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 423, \"b\": -79, \"c\": 37, \"d\": 47}", "seed": "9503907830049649061", "semantic_fingerprint": "sha256:32238572888648300ba7d557f0ffd160d3e1cb92be35306ef8965198a899bf4c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005667", "prompt": "Compute: (-836 + (-76) - (-959)) / 3 + 2", "solution_steps": ["Add: -836 + (-76) = -912", "Subtract: -912 - (-959) = 47", "Divide: 47 / 3 = 47/3", "Add: 47/3 + 2 = 53/3"], "final_answer": "53/3", "answer_type": "rational", "kind": "expression", "math_text": "(-836 + (-76) - (-959)) / 3 + 2", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -836, \"b\": -76, \"c\": -959, \"d\": 3, \"e\": 2}", "seed": "8423162751972840157", "semantic_fingerprint": "sha256:d4dd8ca115fb6dea93581d88418e2bd914b8149d02a4447748b0bd3574b29923", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005668", "prompt": "What is 554 / 5 * 75 + (532 + 7)?", "solution_steps": ["Divide: 554 / 5 = 554/5", "Multiply: (554/5) * 75 = 8310", "Add: 532 + 7 = 539", "Add: 8310 + 539 = 8849"], "final_answer": "8849", "answer_type": "integer", "kind": "expression", "math_text": "554 / 5 * 75 + (532 + 7)", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 554, \"b\": 5, \"c\": 75, \"d\": 532, \"e\": 7}", "seed": "6978603049150116223", "semantic_fingerprint": "sha256:3c29d699a64ad47b20f48047fa272e641784e652f3f3737db3277f247f0dd2c2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005669", "prompt": "What is -94 - 51 - (-7 - (9 + (-873)))?", "solution_steps": ["Subtract: -94 - 51 = -145", "Add: 9 + (-873) = -864", "Subtract: -7 - (-864) = 857", "Subtract: -145 - 857 = -1002"], "final_answer": "-1002", "answer_type": "integer", "kind": "expression", "math_text": "-94 - 51 - (-7 - (9 + (-873)))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": 51, \"c\": -7, \"d\": 9, \"e\": -873}", "seed": "6556300393114699374", "semantic_fingerprint": "sha256:537317ccdfa6a8183dd23eaba917b0a7e0216d7d92ae7b5854798b748566c018", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005670", "prompt": "What is (93 / (-47) + (-29)) * 69?", "solution_steps": ["Divide: 93 / (-47) = -93/47", "Add: -93/47 + (-29) = -1456/47", "Multiply: (-1456/47) * 69 = -100464/47"], "final_answer": "-100464/47", "answer_type": "rational", "kind": "expression", "math_text": "(93 / (-47) + (-29)) * 69", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": -47, \"c\": -29, \"d\": 69}", "seed": "6458047011057331555", "semantic_fingerprint": "sha256:327b82388b8b92a8b73f88d97e072035521c47aef883c26decc6b7ca54f64396", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005671", "prompt": "Evaluate: 1 * 374 - (-3) - (-12) * 27", "solution_steps": ["Multiply: 1 * 374 = 374", "Subtract: 374 - (-3) = 377", "Multiply: -12 * 27 = -324", "Subtract: 377 - (-324) = 701"], "final_answer": "701", "answer_type": "integer", "kind": "expression", "math_text": "1 * 374 - (-3) - (-12) * 27", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 374, \"c\": -3, \"d\": -12, \"e\": 27}", "seed": "5429962467438335883", "semantic_fingerprint": "sha256:a25291728dfd8b89fcbd7ac1d5a006e14e687b5e74e13b7d58083b07cc156632", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005672", "prompt": "Solve the equation x - 1 = -7(x - 2) + 105 for x.", "solution_steps": ["Expand: x - 1 = -7x + 14 + 105", "Combine constants: x - 1 = -7x + 119", "Add 7x to both sides: 8x - 1 = 119", "Add 1 to both sides: 8x = 120", "Divide both sides by 8: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1 = -7(x - 2) + 105", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -7, \"c\": 2, \"e\": 105, \"x\": 15}", "seed": "3346862129663358294", "semantic_fingerprint": "sha256:9306162614bbacfa1bdc92d2daa57a95479bbad3f92019835a694681ff3067b6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005673", "prompt": "Calculate: -50 / (-312) * ((53 - (-84)) * 696 / 3)", "solution_steps": ["Divide: -50 / (-312) = 25/156", "Subtract: 53 - (-84) = 137", "Multiply: 137 * 696 = 95352", "Divide: 95352 / 3 = 31784", "Multiply: (25/156) * 31784 = 198650/39"], "final_answer": "198650/39", "answer_type": "rational", "kind": "expression", "math_text": "-50 / (-312) * ((53 - (-84)) * 696 / 3)", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (/ (* (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": -312, \"c\": 53, \"d\": -84, \"e\": 696, \"f\": 3}", "seed": "699599488829222703", "semantic_fingerprint": "sha256:1c2abcf90fa91037659cc05831f6ccfc1db9eddd69f659455d6806f28d97bec7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005674", "prompt": "What is 74 / (-7 + (-6) + 9) + (52 + (-944))?", "solution_steps": ["Add: -7 + (-6) = -13", "Add: -13 + 9 = -4", "Divide: 74 / (-4) = -37/2", "Add: 52 + (-944) = -892", "Add: -37/2 + (-892) = -1821/2"], "final_answer": "-1821/2", "answer_type": "rational", "kind": "expression", "math_text": "74 / (-7 + (-6) + 9) + (52 + (-944))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (+ (+ n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -7, \"c\": -6, \"d\": 9, \"e\": 52, \"f\": -944}", "seed": "13609818366523417399", "semantic_fingerprint": "sha256:32b6b8530692a3a8d63e51c01becc845d6b0ec3de02716f6e99e6699019e7c44", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005675", "prompt": "Evaluate: 7 - (-69 - (-1 - 7))", "solution_steps": ["Subtract: -1 - 7 = -8", "Subtract: -69 - (-8) = -61", "Subtract: 7 - (-61) = 68"], "final_answer": "68", "answer_type": "integer", "kind": "expression", "math_text": "7 - (-69 - (-1 - 7))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -69, \"c\": -1, \"d\": 7}", "seed": "12851733354628408879", "semantic_fingerprint": "sha256:4b272a8f1373ad1e1d0988b1bea412723b3887bd7c663c201030dc33be741e3b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005676", "prompt": "Solve for x: 11(x - 540) - 435 = 4(x - 1) - 3", "solution_steps": ["Expand: 11x - 5940 - 435 = 4(x - 1) - 3", "Expand: 11x - 5940 - 435 = 4x - 4 - 3", "Combine constants: 11x - 6375 = 4x - 4 - 3", "Combine constants: 11x - 6375 = 4x - 7", "Subtract 4x from both sides: 7x - 6375 = -7", "Add 6375 to both sides: 7x = 6368", "Divide both sides by 7: x = 6368/7"], "final_answer": "6368/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 540) - 435 = 4(x - 1) - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 540, \"c\": 435, \"d\": 4, \"e\": 1, \"f\": 3}", "seed": "5708749783724327875", "semantic_fingerprint": "sha256:e3d2c96aa89cb80b775d23a2dce80076a6c68c1523cdd31476f9c4abd5783d33", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005677", "prompt": "What is -5 - (413 - 6 * 79) + (3 + 9)?", "solution_steps": ["Multiply: 6 * 79 = 474", "Subtract: 413 - 474 = -61", "Subtract: -5 - (-61) = 56", "Add: 3 + 9 = 12", "Add: 56 + 12 = 68"], "final_answer": "68", "answer_type": "integer", "kind": "expression", "math_text": "-5 - (413 - 6 * 79) + (3 + 9)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- n (* n n))) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 413, \"c\": 6, \"d\": 79, \"e\": 3, \"f\": 9}", "seed": "1131338053996313256", "semantic_fingerprint": "sha256:223b6babb133d86995dc38c2d8db4efa312b0947e5e4456f1d2d58041bf78cde", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005678", "prompt": "Evaluate: (-1 - 11 + (-5)) * 59", "solution_steps": ["Subtract: -1 - 11 = -12", "Add: -12 + (-5) = -17", "Multiply: -17 * 59 = -1003"], "final_answer": "-1003", "answer_type": "integer", "kind": "expression", "math_text": "(-1 - 11 + (-5)) * 59", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 11, \"c\": -5, \"d\": 59}", "seed": "646964435220377548", "semantic_fingerprint": "sha256:ecdab5cc87279a1d27cfedebf64aa27869647c5e5ae6a43ce5372fd614909085", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005679", "prompt": "What value of x satisfies 9(x - 735) + 73 = 8x + 2?", "solution_steps": ["Expand: 9x - 6615 + 73 = 8x + 2", "Combine constants: 9x - 6542 = 8x + 2", "Subtract 8x from both sides: x - 6542 = 2", "Add 6542 to both sides: x = 6544"], "final_answer": "6544", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 735) + 73 = 8x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 735, \"c\": 73, \"d\": 8, \"e\": 2}", "seed": "4742129443467155984", "semantic_fingerprint": "sha256:4c11c6ec6d06b9849341dd380ce729c70f84fe378c05f349a22cbe558404e879", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005680", "prompt": "Evaluate: -66 + (846 + (-5)) - 7", "solution_steps": ["Add: 846 + (-5) = 841", "Add: -66 + 841 = 775", "Subtract: 775 - 7 = 768"], "final_answer": "768", "answer_type": "integer", "kind": "expression", "math_text": "-66 + (846 + (-5)) - 7", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": 846, \"c\": -5, \"d\": 7}", "seed": "4175881136141743632", "semantic_fingerprint": "sha256:d3f6e5e43b38760627719b8946e400ee20b6284d56038ff637eacc4db9e29a28", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005681", "prompt": "What is (-15 + 159 - 687) / (-54) + (-45)?", "solution_steps": ["Add: -15 + 159 = 144", "Subtract: 144 - 687 = -543", "Divide: -543 / (-54) = 181/18", "Add: 181/18 + (-45) = -629/18"], "final_answer": "-629/18", "answer_type": "rational", "kind": "expression", "math_text": "(-15 + 159 - 687) / (-54) + (-45)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": 159, \"c\": 687, \"d\": -54, \"e\": -45}", "seed": "6544744161343811319", "semantic_fingerprint": "sha256:ab8650302311a0dd34c333c45c7002c5cb35a71d5e6d7f6bc465f5d89193c9a7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005682", "prompt": "Evaluate: (-5 + 30) / 7 / (-93 + (365 - (-53)))", "solution_steps": ["Add: -5 + 30 = 25", "Divide: 25 / 7 = 25/7", "Subtract: 365 - (-53) = 418", "Add: -93 + 418 = 325", "Divide: (25/7) / 325 = 1/91"], "final_answer": "1/91", "answer_type": "rational", "kind": "expression", "math_text": "(-5 + 30) / 7 / (-93 + (365 - (-53)))", "variable": null, "family": "expression_5op", "shape": "(/ (/ (+ n n) n) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 30, \"c\": 7, \"d\": -93, \"e\": 365, \"f\": -53}", "seed": "14498974404649469955", "semantic_fingerprint": "sha256:4b13863c9f543a9c68186aba27aa6dc77dadbe72f03643d1757b280ff27b04d0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005683", "prompt": "Compute: (-5 / (-6) - (-1) * 82) * (-77)", "solution_steps": ["Divide: -5 / (-6) = 5/6", "Multiply: -1 * 82 = -82", "Subtract: 5/6 - (-82) = 497/6", "Multiply: (497/6) * (-77) = -38269/6"], "final_answer": "-38269/6", "answer_type": "rational", "kind": "expression", "math_text": "(-5 / (-6) - (-1) * 82) * (-77)", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -6, \"c\": -1, \"d\": 82, \"e\": -77}", "seed": "12012588639176660561", "semantic_fingerprint": "sha256:af80b657f6c502e96be659bf386cc08becfd8fc7b3b3d0264a252aa3c2df1082", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005684", "prompt": "Calculate: 71 - 28 * (-9) - 4", "solution_steps": ["Multiply: 28 * (-9) = -252", "Subtract: 71 - (-252) = 323", "Subtract: 323 - 4 = 319"], "final_answer": "319", "answer_type": "integer", "kind": "expression", "math_text": "71 - 28 * (-9) - 4", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 28, \"c\": -9, \"d\": 4}", "seed": "15645469284927416480", "semantic_fingerprint": "sha256:8d52523edd0f0204633edd6b472f0f31c6c6262c679f006d687c3114bafae50f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005685", "prompt": "What value of x satisfies -9(x + 67) - 4 = x - 567?", "solution_steps": ["Expand: -9x - 603 - 4 = x - 567", "Combine constants: -9x - 607 = x - 567", "Subtract x from both sides: -10x - 607 = -567", "Add 607 to both sides: -10x = 40", "Divide both sides by -10: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 67) - 4 = x - 567", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 67, \"c\": 4, \"e\": -567, \"x\": -4}", "seed": "10890734771451141903", "semantic_fingerprint": "sha256:ede3ca0a92e3340a17f1f4a1e473f525f02cb410d62cf6767c5debcb92f9f291", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005686", "prompt": "Compute: 957 / (79 - 4) + (-12) + (78 - (-8))", "solution_steps": ["Subtract: 79 - 4 = 75", "Divide: 957 / 75 = 319/25", "Add: 319/25 + (-12) = 19/25", "Subtract: 78 - (-8) = 86", "Add: 19/25 + 86 = 2169/25"], "final_answer": "2169/25", "answer_type": "rational", "kind": "expression", "math_text": "957 / (79 - 4) + (-12) + (78 - (-8))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (/ n (- n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 957, \"b\": 79, \"c\": 4, \"d\": -12, \"e\": 78, \"f\": -8}", "seed": "14339946691063401474", "semantic_fingerprint": "sha256:73ec7a0879bef883dff187cb8f0e999ceab8c802aa5c8edb4496659abf2d3309", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005687", "prompt": "Compute: 272 + (-20) / (-7 - 9)", "solution_steps": ["Subtract: -7 - 9 = -16", "Divide: -20 / (-16) = 5/4", "Add: 272 + 5/4 = 1093/4"], "final_answer": "1093/4", "answer_type": "rational", "kind": "expression", "math_text": "272 + (-20) / (-7 - 9)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 272, \"b\": -20, \"c\": -7, \"d\": 9}", "seed": "10106030388418255014", "semantic_fingerprint": "sha256:3b174cb328a21fca979118968d4946b8fa1451e0d3152f134ff4dcfaee54cdaf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005688", "prompt": "Compute: -4 - 51 / (8 * 91)", "solution_steps": ["Multiply: 8 * 91 = 728", "Divide: 51 / 728 = 51/728", "Subtract: -4 - 51/728 = -2963/728"], "final_answer": "-2963/728", "answer_type": "rational", "kind": "expression", "math_text": "-4 - 51 / (8 * 91)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 51, \"c\": 8, \"d\": 91}", "seed": "7348289531412286246", "semantic_fingerprint": "sha256:4a2b0c633510dc52030e5672b0c6f96107d27716c6e3fa8706f1b02d4224ebc8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005689", "prompt": "Find x: -3(x + 4) - 2 = x - 94", "solution_steps": ["Expand: -3x - 12 - 2 = x - 94", "Combine constants: -3x - 14 = x - 94", "Subtract x from both sides: -4x - 14 = -94", "Add 14 to both sides: -4x = -80", "Divide both sides by -4: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 4) - 2 = x - 94", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 4, \"c\": 2, \"e\": -94, \"x\": 20}", "seed": "16651265229012232863", "semantic_fingerprint": "sha256:12b5cbc73ad99279418701a142d40fa60528e0c2c4d3a74a73a9edca79ac436e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005690", "prompt": "Calculate: -70 * (57 / 9) + 942 + (-38 - (-182))", "solution_steps": ["Divide: 57 / 9 = 19/3", "Multiply: -70 * (19/3) = -1330/3", "Add: -1330/3 + 942 = 1496/3", "Subtract: -38 - (-182) = 144", "Add: 1496/3 + 144 = 1928/3"], "final_answer": "1928/3", "answer_type": "rational", "kind": "expression", "math_text": "-70 * (57 / 9) + 942 + (-38 - (-182))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* n (/ n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 57, \"c\": 9, \"d\": 942, \"e\": -38, \"f\": -182}", "seed": "3681854386328087582", "semantic_fingerprint": "sha256:4b83353b92eaf12a9b1cec22bea0d8b2a617910e2a413937ad34fe20a7d61d40", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005691", "prompt": "Solve the equation -3(x - 60) + 24 = -8x + 254 for x.", "solution_steps": ["Expand: -3x + 180 + 24 = -8x + 254", "Combine constants: -3x + 204 = -8x + 254", "Add 8x to both sides: 5x + 204 = 254", "Subtract 204 from both sides: 5x = 50", "Divide both sides by 5: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 60) + 24 = -8x + 254", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 60, \"c\": 24, \"d\": -8, \"f\": 254, \"x\": 10}", "seed": "7212115482253686293", "semantic_fingerprint": "sha256:bfd588b6f83a53781cbc1fe79d01baa3507dcce4c05e053abb33b2db8a73f6a0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005692", "prompt": "What is 89 + (-32) - (-9 + (-6))?", "solution_steps": ["Add: 89 + (-32) = 57", "Add: -9 + (-6) = -15", "Subtract: 57 - (-15) = 72"], "final_answer": "72", "answer_type": "integer", "kind": "expression", "math_text": "89 + (-32) - (-9 + (-6))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": -32, \"c\": -9, \"d\": -6}", "seed": "7092330513726389285", "semantic_fingerprint": "sha256:436621e169bcf5547cf1a292e4e619fca51c3d7481ad722c1e070091ace27a79", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005693", "prompt": "Solve for x: x - 55 = 11(x - 13) + 78", "solution_steps": ["Expand: x - 55 = 11x - 143 + 78", "Combine constants: x - 55 = 11x - 65", "Subtract 11x from both sides: -10x - 55 = -65", "Add 55 to both sides: -10x = -10", "Divide both sides by -10: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 55 = 11(x - 13) + 78", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 11, \"c\": 13, \"d\": 78}", "seed": "2000704820252801583", "semantic_fingerprint": "sha256:a6483a5b6f3efef3e8c44258bae068fa052ebeca15beb386a4a2e9fb39e12ef2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005694", "prompt": "What value of x satisfies 6(x - 5) - 106 = 5(x - 29)?", "solution_steps": ["Expand: 6x - 30 - 106 = 5(x - 29)", "Expand: 6x - 30 - 106 = 5x - 145", "Combine constants: 6x - 136 = 5x - 145", "Subtract 5x from both sides: x - 136 = -145", "Add 136 to both sides: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 5) - 106 = 5(x - 29)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 5, \"d\": 29, \"f\": -106, \"x\": -9}", "seed": "8280921116629484984", "semantic_fingerprint": "sha256:c7db2dc920ff3a5625d6a53aff86ea57015c328ae064430979e1799968e3df5a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005695", "prompt": "Solve for x: 10(x + 1) - 5 = x - 122", "solution_steps": ["Expand: 10x + 10 - 5 = x - 122", "Combine constants: 10x + 5 = x - 122", "Subtract x from both sides: 9x + 5 = -122", "Subtract 5 from both sides: 9x = -127", "Divide both sides by 9: x = -127/9"], "final_answer": "-127/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 1) - 5 = x - 122", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 1, \"c\": 5, \"d\": 122}", "seed": "3650078911073420292", "semantic_fingerprint": "sha256:4fa020c611f9dd0689edeb500b7f72ec201365f1a2f00dac81eeebf1e1e5d8ba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005696", "prompt": "What is 55 + (73 / (-1) + (633 + (-225)))?", "solution_steps": ["Divide: 73 / (-1) = -73", "Add: 633 + (-225) = 408", "Add: -73 + 408 = 335", "Add: 55 + 335 = 390"], "final_answer": "390", "answer_type": "integer", "kind": "expression", "math_text": "55 + (73 / (-1) + (633 + (-225)))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 73, \"c\": -1, \"d\": 633, \"e\": -225}", "seed": "16454813289028778503", "semantic_fingerprint": "sha256:3ea489731efe80489b3557da22df093bc5c2413d8ad54998e11c5666ac9fb6e1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005697", "prompt": "Evaluate: 3 + 626 - 2 + 819", "solution_steps": ["Add: 3 + 626 = 629", "Subtract: 629 - 2 = 627", "Add: 627 + 819 = 1446"], "final_answer": "1446", "answer_type": "integer", "kind": "expression", "math_text": "3 + 626 - 2 + 819", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 626, \"c\": 2, \"d\": 819}", "seed": "6616968961629960631", "semantic_fingerprint": "sha256:10234150068cdc5714877e0d52911b93e50bea0bb52cf8ed52c4d2da96af1af8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005698", "prompt": "Calculate: 8 + (-4) / (7 * 1 * (-87 / 416))", "solution_steps": ["Multiply: 7 * 1 = 7", "Divide: -87 / 416 = -87/416", "Multiply: 7 * (-87/416) = -609/416", "Divide: -4 / (-609/416) = 1664/609", "Add: 8 + 1664/609 = 6536/609"], "final_answer": "6536/609", "answer_type": "rational", "kind": "expression", "math_text": "8 + (-4) / (7 * 1 * (-87 / 416))", "variable": null, "family": "expression_5op", "shape": "(+ n (/ n (* (* n n) (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -4, \"c\": 7, \"d\": 1, \"e\": -87, \"f\": 416}", "seed": "16512521423872439316", "semantic_fingerprint": "sha256:a28505801025b42fb337e559a89d92bd7f6c56a89b87c006f6c5e548a423e902", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005699", "prompt": "Calculate: 28 * (-850) / (-15 + 361) * (-9)", "solution_steps": ["Multiply: 28 * (-850) = -23800", "Add: -15 + 361 = 346", "Divide: -23800 / 346 = -11900/173", "Multiply: (-11900/173) * (-9) = 107100/173"], "final_answer": "107100/173", "answer_type": "rational", "kind": "expression", "math_text": "28 * (-850) / (-15 + 361) * (-9)", "variable": null, "family": "expression_4op", "shape": "(* (/ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -850, \"c\": -15, \"d\": 361, \"e\": -9}", "seed": "17123958520255109620", "semantic_fingerprint": "sha256:5b4e458265e223a6c5c4325d0867175b50573435864106ba26852abce440f24a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005700", "prompt": "What is -944 + 20 - (9 + 693)?", "solution_steps": ["Add: -944 + 20 = -924", "Add: 9 + 693 = 702", "Subtract: -924 - 702 = -1626"], "final_answer": "-1626", "answer_type": "integer", "kind": "expression", "math_text": "-944 + 20 - (9 + 693)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -944, \"b\": 20, \"c\": 9, \"d\": 693}", "seed": "8177625330772970088", "semantic_fingerprint": "sha256:0b20eae84a710631f0716693e7e454473472c2525ccf6cfc44200d7b1e39d1c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005701", "prompt": "Compute: 65 * 8 - (-263 - (4 + 5))", "solution_steps": ["Multiply: 65 * 8 = 520", "Add: 4 + 5 = 9", "Subtract: -263 - 9 = -272", "Subtract: 520 - (-272) = 792"], "final_answer": "792", "answer_type": "integer", "kind": "expression", "math_text": "65 * 8 - (-263 - (4 + 5))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 8, \"c\": -263, \"d\": 4, \"e\": 5}", "seed": "6941715452169442806", "semantic_fingerprint": "sha256:a132e37bdbfe253e0130f3258d14eeef13df96c051e35d4d9a90ce16e4382396", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005702", "prompt": "Calculate: (1 - 55 + (-72)) * (-110)", "solution_steps": ["Subtract: 1 - 55 = -54", "Add: -54 + (-72) = -126", "Multiply: -126 * (-110) = 13860"], "final_answer": "13860", "answer_type": "integer", "kind": "expression", "math_text": "(1 - 55 + (-72)) * (-110)", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 55, \"c\": -72, \"d\": -110}", "seed": "10186137559217444024", "semantic_fingerprint": "sha256:bac9409c8416ed5fdb8ebd29821407fadaa4905e3e99aa026b8eabf637ff08cc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005703", "prompt": "What value of x satisfies -5(x - 1) = -8x - 9?", "solution_steps": ["Expand: -5x + 5 = -8x - 9", "Add 8x to both sides: 3x + 5 = -9", "Subtract 5 from both sides: 3x = -14", "Divide both sides by 3: x = -14/3"], "final_answer": "-14/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 1) = -8x - 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 1, \"c\": -8, \"d\": 9}", "seed": "14927810615406215622", "semantic_fingerprint": "sha256:45579211e68af6b413f48aacc22660888abea84f3e8a88c3ee85ef9820963ee4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005704", "prompt": "Find x: 6(x - 12) = 9x - 1", "solution_steps": ["Expand: 6x - 72 = 9x - 1", "Subtract 9x from both sides: -3x - 72 = -1", "Add 72 to both sides: -3x = 71", "Divide both sides by -3: x = -71/3"], "final_answer": "-71/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 12) = 9x - 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 12, \"c\": 9, \"d\": 1}", "seed": "2975288925810365617", "semantic_fingerprint": "sha256:c9055b0eae7ed5e1e11bfc6f825284b48c3d6d785269ee92d23a86359e0a595b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005705", "prompt": "Compute: (-533 - 300 / (-668)) / (-16)", "solution_steps": ["Divide: 300 / (-668) = -75/167", "Subtract: -533 - (-75/167) = -88936/167", "Divide: (-88936/167) / (-16) = 11117/334"], "final_answer": "11117/334", "answer_type": "rational", "kind": "expression", "math_text": "(-533 - 300 / (-668)) / (-16)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -533, \"b\": 300, \"c\": -668, \"d\": -16}", "seed": "1151154339432149991", "semantic_fingerprint": "sha256:a2c8e708840e2d3c8040aad3bed976a7736155ab77890888c7aeee57db5ab76c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005706", "prompt": "Solve the equation 6(x - 8) - 700 = 4(x - 62) - 506 for x.", "solution_steps": ["Expand: 6x - 48 - 700 = 4(x - 62) - 506", "Expand: 6x - 48 - 700 = 4x - 248 - 506", "Combine constants: 6x - 748 = 4x - 248 - 506", "Combine constants: 6x - 748 = 4x - 754", "Subtract 4x from both sides: 2x - 748 = -754", "Add 748 to both sides: 2x = -6", "Divide both sides by 2: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 8) - 700 = 4(x - 62) - 506", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 700, \"d\": 4, \"e\": 62, \"g\": -506, \"x\": -3}", "seed": "18006046701962531228", "semantic_fingerprint": "sha256:f3adc99edce9e99d4c78c234949e2dd23107d63cfc05dc9b01e6bf27bb6ca957", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005707", "prompt": "Solve for x: 2(x - 692) - 7 = 5(x - 29)", "solution_steps": ["Expand: 2x - 1384 - 7 = 5(x - 29)", "Expand: 2x - 1384 - 7 = 5x - 145", "Combine constants: 2x - 1391 = 5x - 145", "Subtract 5x from both sides: -3x - 1391 = -145", "Add 1391 to both sides: -3x = 1246", "Divide both sides by -3: x = -1246/3"], "final_answer": "-1246/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 692) - 7 = 5(x - 29)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 692, \"c\": 7, \"d\": 5, \"e\": 29}", "seed": "2676826789861970020", "semantic_fingerprint": "sha256:a76b44810c39f1550bdbf780d8978537427de2d6c2a621dd8ea6876091b7c59b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005708", "prompt": "What is (37 - 30) / (-6) - 7 * (132 + (-280))?", "solution_steps": ["Subtract: 37 - 30 = 7", "Divide: 7 / (-6) = -7/6", "Add: 132 + (-280) = -148", "Multiply: 7 * (-148) = -1036", "Subtract: -7/6 - (-1036) = 6209/6"], "final_answer": "6209/6", "answer_type": "rational", "kind": "expression", "math_text": "(37 - 30) / (-6) - 7 * (132 + (-280))", "variable": null, "family": "expression_5op", "shape": "(- (/ (- n n) n) (* n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": 30, \"c\": -6, \"d\": 7, \"e\": 132, \"f\": -280}", "seed": "1912764742249766218", "semantic_fingerprint": "sha256:dba9c8e2d13fb147ed18a011ce2d445ea22d519b3a4ac53942d727122cf45e83", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005709", "prompt": "What is 63 / (-912 * 33 / (-15))?", "solution_steps": ["Multiply: -912 * 33 = -30096", "Divide: -30096 / (-15) = 10032/5", "Divide: 63 / (10032/5) = 105/3344"], "final_answer": "105/3344", "answer_type": "rational", "kind": "expression", "math_text": "63 / (-912 * 33 / (-15))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -912, \"c\": 33, \"d\": -15}", "seed": "1372705512598653402", "semantic_fingerprint": "sha256:3e2caed124d78087ce74c6df2bf2a9aaf467b6228ece3fe66d350b6fd6637208", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005710", "prompt": "Evaluate: -46 * (-56 / (-9) * (3 / (-50))) - (-4)", "solution_steps": ["Divide: -56 / (-9) = 56/9", "Divide: 3 / (-50) = -3/50", "Multiply: (56/9) * (-3/50) = -28/75", "Multiply: -46 * (-28/75) = 1288/75", "Subtract: 1288/75 - (-4) = 1588/75"], "final_answer": "1588/75", "answer_type": "rational", "kind": "expression", "math_text": "-46 * (-56 / (-9) * (3 / (-50))) - (-4)", "variable": null, "family": "expression_5op", "shape": "(- (* n (* (/ n n) (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": -56, \"c\": -9, \"d\": 3, \"e\": -50, \"f\": -4}", "seed": "5686017119466577566", "semantic_fingerprint": "sha256:b673e94a20635c9e7f4a7df770d982f62e26bf55ab1ac534be1736bbecf727b8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005711", "prompt": "Compute: (4 / 285 + (-6)) * (-92)", "solution_steps": ["Divide: 4 / 285 = 4/285", "Add: 4/285 + (-6) = -1706/285", "Multiply: (-1706/285) * (-92) = 156952/285"], "final_answer": "156952/285", "answer_type": "rational", "kind": "expression", "math_text": "(4 / 285 + (-6)) * (-92)", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 285, \"c\": -6, \"d\": -92}", "seed": "784563304796393819", "semantic_fingerprint": "sha256:4e259706dd5af692904856bb8c382424fd45d514808d0556cf949bd27b0bbc9c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005712", "prompt": "Calculate: -52 - (9 - (7 - 21))", "solution_steps": ["Subtract: 7 - 21 = -14", "Subtract: 9 - (-14) = 23", "Subtract: -52 - 23 = -75"], "final_answer": "-75", "answer_type": "integer", "kind": "expression", "math_text": "-52 - (9 - (7 - 21))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": 9, \"c\": 7, \"d\": 21}", "seed": "4464284034842331547", "semantic_fingerprint": "sha256:554eb239185a63ae60513d1b6e4a2f33e603dd730b207bb4ac227f35ef44992f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005713", "prompt": "Solve the equation -2(x + 273) + 2 = 3(x + 11) - 542 for x.", "solution_steps": ["Expand: -2x - 546 + 2 = 3(x + 11) - 542", "Expand: -2x - 546 + 2 = 3x + 33 - 542", "Combine constants: -2x - 544 = 3x + 33 - 542", "Combine constants: -2x - 544 = 3x - 509", "Subtract 3x from both sides: -5x - 544 = -509", "Add 544 to both sides: -5x = 35", "Divide both sides by -5: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 273) + 2 = 3(x + 11) - 542", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 273, \"c\": 2, \"d\": 3, \"e\": 11, \"g\": -542, \"x\": -7}", "seed": "3106104951381745152", "semantic_fingerprint": "sha256:d7cc9858406bd33a4aa92599b646e8017b377d4357464a7ea505df4cd24e4f17", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005714", "prompt": "Solve the equation -2(x - 42) + 42 = 2(x + 499) - 836 for x.", "solution_steps": ["Expand: -2x + 84 + 42 = 2(x + 499) - 836", "Expand: -2x + 84 + 42 = 2x + 998 - 836", "Combine constants: -2x + 126 = 2x + 998 - 836", "Combine constants: -2x + 126 = 2x + 162", "Subtract 2x from both sides: -4x + 126 = 162", "Subtract 126 from both sides: -4x = 36", "Divide both sides by -4: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 42) + 42 = 2(x + 499) - 836", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 42, \"c\": 42, \"d\": 2, \"e\": 499, \"g\": -836, \"x\": -9}", "seed": "9045302967932166057", "semantic_fingerprint": "sha256:95b86dc1b772fe3d010c7b855f14606e6283a3b29b21230cdf4080f5ee5eae25", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005715", "prompt": "Evaluate: -88 - (-6 * (-62) + 7)", "solution_steps": ["Multiply: -6 * (-62) = 372", "Add: 372 + 7 = 379", "Subtract: -88 - 379 = -467"], "final_answer": "-467", "answer_type": "integer", "kind": "expression", "math_text": "-88 - (-6 * (-62) + 7)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": -6, \"c\": -62, \"d\": 7}", "seed": "11549417161190121119", "semantic_fingerprint": "sha256:ca4911db7fc9fcc1d51042fa091dc551a418f73cbe0b02c102e87c9eadc8219b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005716", "prompt": "What is -35 + 33 - 121 + 68?", "solution_steps": ["Add: -35 + 33 = -2", "Subtract: -2 - 121 = -123", "Add: -123 + 68 = -55"], "final_answer": "-55", "answer_type": "integer", "kind": "expression", "math_text": "-35 + 33 - 121 + 68", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": 33, \"c\": 121, \"d\": 68}", "seed": "9765188128207688173", "semantic_fingerprint": "sha256:ee5039d5af2ed9b89a537a025db74cc8bbcd1580383ab0ebf62d5ba90dea1e3e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005717", "prompt": "Find x: 11x - 1 = -12(x + 22) + 171", "solution_steps": ["Expand: 11x - 1 = -12x - 264 + 171", "Combine constants: 11x - 1 = -12x - 93", "Add 12x to both sides: 23x - 1 = -93", "Add 1 to both sides: 23x = -92", "Divide both sides by 23: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 1 = -12(x + 22) + 171", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 1, \"c\": -12, \"d\": 22, \"f\": 171, \"x\": -4}", "seed": "9539131901101505806", "semantic_fingerprint": "sha256:1bda147f340aef20b14de498d251fbcdbe4d867c912cc3fec67a1cc68cb13972", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005718", "prompt": "Evaluate: 704 / (85 + 9 - (0 + 130))", "solution_steps": ["Add: 85 + 9 = 94", "Add: 0 + 130 = 130", "Subtract: 94 - 130 = -36", "Divide: 704 / (-36) = -176/9"], "final_answer": "-176/9", "answer_type": "rational", "kind": "expression", "math_text": "704 / (85 + 9 - (0 + 130))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 704, \"b\": 85, \"c\": 9, \"d\": 0, \"e\": 130}", "seed": "16784249190680752277", "semantic_fingerprint": "sha256:715ccd36372ef83b0bf237e7c0f6bf05a4663febd3b3ab8f985f6ca9efeecbd8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005719", "prompt": "Find x: 2(x - 76) - 98 = 11(x - 7) - 173", "solution_steps": ["Expand: 2x - 152 - 98 = 11(x - 7) - 173", "Expand: 2x - 152 - 98 = 11x - 77 - 173", "Combine constants: 2x - 250 = 11x - 77 - 173", "Combine constants: 2x - 250 = 11x - 250", "Subtract 11x from both sides: -9x - 250 = -250", "Add 250 to both sides: -9x = 0", "Divide both sides by -9: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 76) - 98 = 11(x - 7) - 173", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 76, \"c\": 98, \"d\": 11, \"e\": 7, \"g\": -173, \"x\": 0}", "seed": "17985737347731892859", "semantic_fingerprint": "sha256:02f83e903968f86c791cde041c8db59354833d32b47114b96c23c469317ac551", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005720", "prompt": "Solve the equation 11(x - 47) + 22 = 7x + 89 for x.", "solution_steps": ["Expand: 11x - 517 + 22 = 7x + 89", "Combine constants: 11x - 495 = 7x + 89", "Subtract 7x from both sides: 4x - 495 = 89", "Add 495 to both sides: 4x = 584", "Divide both sides by 4: x = 146"], "final_answer": "146", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 47) + 22 = 7x + 89", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 47, \"c\": 22, \"d\": 7, \"e\": 89}", "seed": "14698542285653767316", "semantic_fingerprint": "sha256:09f2a61fdcd84782998aac36d7f2f44b72f73b6676f9612c2ed69a943ffb6c9e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005721", "prompt": "Calculate: -63 / (-25 * (-9 - 2 + (-7)) - 434)", "solution_steps": ["Subtract: -9 - 2 = -11", "Add: -11 + (-7) = -18", "Multiply: -25 * (-18) = 450", "Subtract: 450 - 434 = 16", "Divide: -63 / 16 = -63/16"], "final_answer": "-63/16", "answer_type": "rational", "kind": "expression", "math_text": "-63 / (-25 * (-9 - 2 + (-7)) - 434)", "variable": null, "family": "expression_5op", "shape": "(/ n (- (* n (+ (- n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": -25, \"c\": -9, \"d\": 2, \"e\": -7, \"f\": 434}", "seed": "9881511593844696127", "semantic_fingerprint": "sha256:7e93f85c0fe34792356988d61cc3f42b36581d661874e351a4985c8dbf3f3594", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005722", "prompt": "Compute: 183 - (156 / 419 * (-99) - (-9))", "solution_steps": ["Divide: 156 / 419 = 156/419", "Multiply: (156/419) * (-99) = -15444/419", "Subtract: -15444/419 - (-9) = -11673/419", "Subtract: 183 - (-11673/419) = 88350/419"], "final_answer": "88350/419", "answer_type": "rational", "kind": "expression", "math_text": "183 - (156 / 419 * (-99) - (-9))", "variable": null, "family": "expression_4op", "shape": "(- n (- (* (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 183, \"b\": 156, \"c\": 419, \"d\": -99, \"e\": -9}", "seed": "10237084850272966153", "semantic_fingerprint": "sha256:a0ad9155b8397c635dddfb615c1ff334f5036d632dfc8a083d8b7644e0b2a41e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005723", "prompt": "What is -352 + (-37) + (-19) - 14 / (-5)?", "solution_steps": ["Add: -352 + (-37) = -389", "Add: -389 + (-19) = -408", "Divide: 14 / (-5) = -14/5", "Subtract: -408 - (-14/5) = -2026/5"], "final_answer": "-2026/5", "answer_type": "rational", "kind": "expression", "math_text": "-352 + (-37) + (-19) - 14 / (-5)", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -352, \"b\": -37, \"c\": -19, \"d\": 14, \"e\": -5}", "seed": "11374075622825828362", "semantic_fingerprint": "sha256:43701165ba3ea514f03a95be88e5883a45e69dabbe46303e76d551a81c16dd6c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005724", "prompt": "Calculate: -71 * (-15 / (-35) / (-41))", "solution_steps": ["Divide: -15 / (-35) = 3/7", "Divide: (3/7) / (-41) = -3/287", "Multiply: -71 * (-3/287) = 213/287"], "final_answer": "213/287", "answer_type": "rational", "kind": "expression", "math_text": "-71 * (-15 / (-35) / (-41))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": -15, \"c\": -35, \"d\": -41}", "seed": "16068208752283795913", "semantic_fingerprint": "sha256:79191f9cd64828833fcd1aa85032b84e9723df036049e494412956aa41f249fe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005725", "prompt": "What value of x satisfies 2(x - 1) = -8x - 82?", "solution_steps": ["Expand: 2x - 2 = -8x - 82", "Add 8x to both sides: 10x - 2 = -82", "Add 2 to both sides: 10x = -80", "Divide both sides by 10: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 1) = -8x - 82", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 1, \"c\": -8, \"e\": -82, \"x\": -8}", "seed": "1740496831378152959", "semantic_fingerprint": "sha256:acdaeaef09dc97fb72a841bc83ad252233062e2fc712d1e20ec32e8a86f6f120", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005726", "prompt": "Calculate: -3 / 4 - 3 - (-6)", "solution_steps": ["Divide: -3 / 4 = -3/4", "Subtract: -3/4 - 3 = -15/4", "Subtract: -15/4 - (-6) = 9/4"], "final_answer": "9/4", "answer_type": "rational", "kind": "expression", "math_text": "-3 / 4 - 3 - (-6)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 4, \"c\": 3, \"d\": -6}", "seed": "9085216204217627138", "semantic_fingerprint": "sha256:4606561240e8b17bac8da59247ddab866853d0deb681b34619781d52ec5e594f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005727", "prompt": "Compute: 35 * (-4) + 7 * (-278 - 6)", "solution_steps": ["Multiply: 35 * (-4) = -140", "Subtract: -278 - 6 = -284", "Multiply: 7 * (-284) = -1988", "Add: -140 + (-1988) = -2128"], "final_answer": "-2128", "answer_type": "integer", "kind": "expression", "math_text": "35 * (-4) + 7 * (-278 - 6)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -4, \"c\": 7, \"d\": -278, \"e\": 6}", "seed": "739024443625381163", "semantic_fingerprint": "sha256:684e130dacefd290eb10a800640a0c30ead31b6cf58431dcc1e62afbbe9a940a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005728", "prompt": "What is 69 * 834 / (2 + 853)?", "solution_steps": ["Multiply: 69 * 834 = 57546", "Add: 2 + 853 = 855", "Divide: 57546 / 855 = 6394/95"], "final_answer": "6394/95", "answer_type": "rational", "kind": "expression", "math_text": "69 * 834 / (2 + 853)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 834, \"c\": 2, \"d\": 853}", "seed": "2712209659548188277", "semantic_fingerprint": "sha256:661bb4be7ab04f9de804470fe53755048d950aea0cd719afa407949274ffb22b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005729", "prompt": "What is -31 - (81 - 609 + 625) - (-7 + (-271))?", "solution_steps": ["Subtract: 81 - 609 = -528", "Add: -528 + 625 = 97", "Subtract: -31 - 97 = -128", "Add: -7 + (-271) = -278", "Subtract: -128 - (-278) = 150"], "final_answer": "150", "answer_type": "integer", "kind": "expression", "math_text": "-31 - (81 - 609 + 625) - (-7 + (-271))", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ (- n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -31, \"b\": 81, \"c\": 609, \"d\": 625, \"e\": -7, \"f\": -271}", "seed": "2134194136462451493", "semantic_fingerprint": "sha256:8e16573834fc65e3f21515d6068e4b0c226a483d20b8de80bfe8128a42cff0ec", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005730", "prompt": "Calculate: (42 + (-325) + (-101)) / (37 - (0 - 65))", "solution_steps": ["Add: 42 + (-325) = -283", "Add: -283 + (-101) = -384", "Subtract: 0 - 65 = -65", "Subtract: 37 - (-65) = 102", "Divide: -384 / 102 = -64/17"], "final_answer": "-64/17", "answer_type": "rational", "kind": "expression", "math_text": "(42 + (-325) + (-101)) / (37 - (0 - 65))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -325, \"c\": -101, \"d\": 37, \"e\": 0, \"f\": 65}", "seed": "8783707441737432973", "semantic_fingerprint": "sha256:e613e8ae754a8986fea15c35a0cb25a09a398aa9b4627863859d6a7664f6e180", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005731", "prompt": "Solve the equation 2(x - 249) + 4 = -9x + 4 for x.", "solution_steps": ["Expand: 2x - 498 + 4 = -9x + 4", "Combine constants: 2x - 494 = -9x + 4", "Add 9x to both sides: 11x - 494 = 4", "Add 494 to both sides: 11x = 498", "Divide both sides by 11: x = 498/11"], "final_answer": "498/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 249) + 4 = -9x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 249, \"c\": 4, \"d\": -9, \"e\": 4}", "seed": "9242978992395330492", "semantic_fingerprint": "sha256:23d1c987c752690ba82dde515bced6be69610c8268070d0db2370f6407db70c6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005732", "prompt": "Solve the equation 4(x + 6) - 77 = x - 53 for x.", "solution_steps": ["Expand: 4x + 24 - 77 = x - 53", "Combine constants: 4x - 53 = x - 53", "Subtract x from both sides: 3x - 53 = -53", "Add 53 to both sides: 3x = 0", "Divide both sides by 3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 6) - 77 = x - 53", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 77, \"e\": -53, \"x\": 0}", "seed": "18063844828262456739", "semantic_fingerprint": "sha256:b992fe33cf9b13d2d4972f8b30af071af41e310d2e0336c968ac3deafba8f55a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005733", "prompt": "Find x: x - 60 = 6(x - 71) + 296", "solution_steps": ["Expand: x - 60 = 6x - 426 + 296", "Combine constants: x - 60 = 6x - 130", "Subtract 6x from both sides: -5x - 60 = -130", "Add 60 to both sides: -5x = -70", "Divide both sides by -5: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 60 = 6(x - 71) + 296", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 6, \"c\": 71, \"e\": 296, \"x\": 14}", "seed": "2398769835184213044", "semantic_fingerprint": "sha256:6cc03299283965d4c39370b236f88bfcdd0d077a7788eed8bfce5ebb01663e80", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005734", "prompt": "Solve the equation 12(x - 93) + 895 = 10(x + 5) - 285 for x.", "solution_steps": ["Expand: 12x - 1116 + 895 = 10(x + 5) - 285", "Expand: 12x - 1116 + 895 = 10x + 50 - 285", "Combine constants: 12x - 221 = 10x + 50 - 285", "Combine constants: 12x - 221 = 10x - 235", "Subtract 10x from both sides: 2x - 221 = -235", "Add 221 to both sides: 2x = -14", "Divide both sides by 2: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 93) + 895 = 10(x + 5) - 285", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 93, \"c\": 895, \"d\": 10, \"e\": 5, \"g\": -285, \"x\": -7}", "seed": "5894404563197180229", "semantic_fingerprint": "sha256:27bb4f176ea51facb1bfb962e1899e6b8baacae35129ef113bfd150c1868573d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005735", "prompt": "Calculate: 145 * (-1 / (-932 + 87)) - (64 + (-8))", "solution_steps": ["Add: -932 + 87 = -845", "Divide: -1 / (-845) = 1/845", "Multiply: 145 * (1/845) = 29/169", "Add: 64 + (-8) = 56", "Subtract: 29/169 - 56 = -9435/169"], "final_answer": "-9435/169", "answer_type": "rational", "kind": "expression", "math_text": "145 * (-1 / (-932 + 87)) - (64 + (-8))", "variable": null, "family": "expression_5op", "shape": "(- (* n (/ n (+ n n))) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 145, \"b\": -1, \"c\": -932, \"d\": 87, \"e\": 64, \"f\": -8}", "seed": "1624299059938726339", "semantic_fingerprint": "sha256:60b23a35126a29901e265db762aaf9ba9b26184e8184f6259000fd3caaab7e93", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005736", "prompt": "What value of x satisfies 6x - 80 = -6(x + 6) + 148?", "solution_steps": ["Expand: 6x - 80 = -6x - 36 + 148", "Combine constants: 6x - 80 = -6x + 112", "Add 6x to both sides: 12x - 80 = 112", "Add 80 to both sides: 12x = 192", "Divide both sides by 12: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 80 = -6(x + 6) + 148", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 80, \"c\": -6, \"d\": 6, \"f\": 148, \"x\": 16}", "seed": "2604804569317988727", "semantic_fingerprint": "sha256:2068c158fe6eea17ba5b883e3ec3366400c7af86fbb6a0e0041550f20d1267b9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005737", "prompt": "Solve the equation -4(x - 47) + 76 = 2x + 192 for x.", "solution_steps": ["Expand: -4x + 188 + 76 = 2x + 192", "Combine constants: -4x + 264 = 2x + 192", "Subtract 2x from both sides: -6x + 264 = 192", "Subtract 264 from both sides: -6x = -72", "Divide both sides by -6: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 47) + 76 = 2x + 192", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 47, \"c\": 76, \"d\": 2, \"f\": 192, \"x\": 12}", "seed": "8574759635690816172", "semantic_fingerprint": "sha256:f244aeb988ab976438a61312839841aaa9b12d841a0fc092ae0fdf780021dd16", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005738", "prompt": "Calculate: 1 / (42 / (82 * 681))", "solution_steps": ["Multiply: 82 * 681 = 55842", "Divide: 42 / 55842 = 7/9307", "Divide: 1 / (7/9307) = 9307/7"], "final_answer": "9307/7", "answer_type": "rational", "kind": "expression", "math_text": "1 / (42 / (82 * 681))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 42, \"c\": 82, \"d\": 681}", "seed": "16431722169446321766", "semantic_fingerprint": "sha256:bd9c614708ff0708705694ff5c108a77a5205e3d320ae5af17238f6b6430b5cd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005739", "prompt": "Evaluate: 3 / (-759) * ((84 + 9 * (-98)) / (-1))", "solution_steps": ["Divide: 3 / (-759) = -1/253", "Multiply: 9 * (-98) = -882", "Add: 84 + (-882) = -798", "Divide: -798 / (-1) = 798", "Multiply: (-1/253) * 798 = -798/253"], "final_answer": "-798/253", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-759) * ((84 + 9 * (-98)) / (-1))", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (/ (+ n (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -759, \"c\": 84, \"d\": 9, \"e\": -98, \"f\": -1}", "seed": "6305039522932781953", "semantic_fingerprint": "sha256:2af14531838efcd1fc3ba98d2317ec945909c4cb1432b58d8542697fbd3cf40c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005740", "prompt": "Evaluate: 0 / (87 - (-455) + (-35))", "solution_steps": ["Subtract: 87 - (-455) = 542", "Add: 542 + (-35) = 507", "Divide: 0 / 507 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (87 - (-455) + (-35))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 87, \"c\": -455, \"d\": -35}", "seed": "9183158979269095392", "semantic_fingerprint": "sha256:b4c0d59a52f9f51ace2ee9b8c64e1f42db74bc2c194f3da65bd5a3eaaeafd0e7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005741", "prompt": "Evaluate: 85 / (-2 * 858) - (-7)", "solution_steps": ["Multiply: -2 * 858 = -1716", "Divide: 85 / (-1716) = -85/1716", "Subtract: -85/1716 - (-7) = 11927/1716"], "final_answer": "11927/1716", "answer_type": "rational", "kind": "expression", "math_text": "85 / (-2 * 858) - (-7)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": -2, \"c\": 858, \"d\": -7}", "seed": "7188566003581698624", "semantic_fingerprint": "sha256:98298e86f0110c1d709b33a70cba542332e7c3a5eb073f5e8a57bf768aef03c3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005742", "prompt": "Evaluate: 66 / (-7 / (-51 * (-10)))", "solution_steps": ["Multiply: -51 * (-10) = 510", "Divide: -7 / 510 = -7/510", "Divide: 66 / (-7/510) = -33660/7"], "final_answer": "-33660/7", "answer_type": "rational", "kind": "expression", "math_text": "66 / (-7 / (-51 * (-10)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -7, \"c\": -51, \"d\": -10}", "seed": "16715544520336592834", "semantic_fingerprint": "sha256:2011017e5c1879530f714b8d57e36267360d1ac391657f5bd820ccb190b64f68", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005743", "prompt": "Evaluate: 377 - (8 * (-4) + 50)", "solution_steps": ["Multiply: 8 * (-4) = -32", "Add: -32 + 50 = 18", "Subtract: 377 - 18 = 359"], "final_answer": "359", "answer_type": "integer", "kind": "expression", "math_text": "377 - (8 * (-4) + 50)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 377, \"b\": 8, \"c\": -4, \"d\": 50}", "seed": "10044387643824864707", "semantic_fingerprint": "sha256:a85fb3e10d4b01a6a5ae9ef11924b2f3eba61909f646a372eaf131c5b09ade53", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005744", "prompt": "Compute: -8 + 0 - (47 + 745)", "solution_steps": ["Add: -8 + 0 = -8", "Add: 47 + 745 = 792", "Subtract: -8 - 792 = -800"], "final_answer": "-800", "answer_type": "integer", "kind": "expression", "math_text": "-8 + 0 - (47 + 745)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 0, \"c\": 47, \"d\": 745}", "seed": "15708237258660533277", "semantic_fingerprint": "sha256:f545fcead9d7677ba914664d6c46d6f4e29fd87d8deb62dd5f4bcc32f19098d0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005745", "prompt": "Evaluate: (-943 + (-3) - (0 + 95 / 329)) * (-3)", "solution_steps": ["Add: -943 + (-3) = -946", "Divide: 95 / 329 = 95/329", "Add: 0 + 95/329 = 95/329", "Subtract: -946 - 95/329 = -311329/329", "Multiply: (-311329/329) * (-3) = 933987/329"], "final_answer": "933987/329", "answer_type": "rational", "kind": "expression", "math_text": "(-943 + (-3) - (0 + 95 / 329)) * (-3)", "variable": null, "family": "expression_5op", "shape": "(* (- (+ n n) (+ n (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -943, \"b\": -3, \"c\": 0, \"d\": 95, \"e\": 329, \"f\": -3}", "seed": "3325923872884715582", "semantic_fingerprint": "sha256:942793c9c5742b0528e3e3d4c344b6d430a01737cad5d93c5d6a01ff12f9aee6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005746", "prompt": "What value of x satisfies 9(x - 187) = -11x - 93?", "solution_steps": ["Expand: 9x - 1683 = -11x - 93", "Add 11x to both sides: 20x - 1683 = -93", "Add 1683 to both sides: 20x = 1590", "Divide both sides by 20: x = 159/2"], "final_answer": "159/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 187) = -11x - 93", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 187, \"c\": -11, \"d\": 93}", "seed": "12841083407296958808", "semantic_fingerprint": "sha256:b77b19291984694699581ada9da2764da6637f41ed20f6886a1921379bf5ff5b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005747", "prompt": "What value of x satisfies x - 65 = 10(x - 57) + 640?", "solution_steps": ["Expand: x - 65 = 10x - 570 + 640", "Combine constants: x - 65 = 10x + 70", "Subtract 10x from both sides: -9x - 65 = 70", "Add 65 to both sides: -9x = 135", "Divide both sides by -9: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 65 = 10(x - 57) + 640", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 10, \"c\": 57, \"e\": 640, \"x\": -15}", "seed": "14605961160126166659", "semantic_fingerprint": "sha256:7ce74159201abc1ee2dbe2b224372c99823194a038a2e6cb1824445b0209312a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005748", "prompt": "Evaluate: -9 + (201 + (-82)) - (-970)", "solution_steps": ["Add: 201 + (-82) = 119", "Add: -9 + 119 = 110", "Subtract: 110 - (-970) = 1080"], "final_answer": "1080", "answer_type": "integer", "kind": "expression", "math_text": "-9 + (201 + (-82)) - (-970)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 201, \"c\": -82, \"d\": -970}", "seed": "17463259697137353717", "semantic_fingerprint": "sha256:df5ba3abccc08d434e26b9c6b2543f91d48bde9dfc08b4f9f3704718d142d7ab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005749", "prompt": "Calculate: 19 / 91 + (-7) / 4", "solution_steps": ["Divide: 19 / 91 = 19/91", "Divide: -7 / 4 = -7/4", "Add: 19/91 + (-7/4) = -561/364"], "final_answer": "-561/364", "answer_type": "rational", "kind": "expression", "math_text": "19 / 91 + (-7) / 4", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": 91, \"c\": -7, \"d\": 4}", "seed": "10695524075217776307", "semantic_fingerprint": "sha256:5dc3c4c82ccdd0a30186fd2c23afe3e692c264138ab80c7147a88a6975fcb11e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005750", "prompt": "Solve the equation 12(x - 16) + 768 = -9x + 240 for x.", "solution_steps": ["Expand: 12x - 192 + 768 = -9x + 240", "Combine constants: 12x + 576 = -9x + 240", "Add 9x to both sides: 21x + 576 = 240", "Subtract 576 from both sides: 21x = -336", "Divide both sides by 21: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 16) + 768 = -9x + 240", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 16, \"c\": 768, \"d\": -9, \"f\": 240, \"x\": -16}", "seed": "3461389438150135508", "semantic_fingerprint": "sha256:671bf976921ddbd0d553db0cf53319224334945778f761a0a365a5fb6ab81466", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005751", "prompt": "Solve the equation 2(x - 2) + 5 = 6(x + 26) - 203 for x.", "solution_steps": ["Expand: 2x - 4 + 5 = 6(x + 26) - 203", "Expand: 2x - 4 + 5 = 6x + 156 - 203", "Combine constants: 2x + 1 = 6x + 156 - 203", "Combine constants: 2x + 1 = 6x - 47", "Subtract 6x from both sides: -4x + 1 = -47", "Subtract 1 from both sides: -4x = -48", "Divide both sides by -4: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 2) + 5 = 6(x + 26) - 203", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 5, \"d\": 6, \"e\": 26, \"g\": -203, \"x\": 12}", "seed": "15627268455971067780", "semantic_fingerprint": "sha256:fb91aea28992f74c712cdfbe1fb5b1411d5e823f758c940950bfdf212b0585ce", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005752", "prompt": "What value of x satisfies 9(x - 85) + 8 = 3(x + 20) - 715?", "solution_steps": ["Expand: 9x - 765 + 8 = 3(x + 20) - 715", "Expand: 9x - 765 + 8 = 3x + 60 - 715", "Combine constants: 9x - 757 = 3x + 60 - 715", "Combine constants: 9x - 757 = 3x - 655", "Subtract 3x from both sides: 6x - 757 = -655", "Add 757 to both sides: 6x = 102", "Divide both sides by 6: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 85) + 8 = 3(x + 20) - 715", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 85, \"c\": 8, \"d\": 3, \"e\": 20, \"g\": -715, \"x\": 17}", "seed": "822206614970399830", "semantic_fingerprint": "sha256:47325d46c14125c1db8637607a92e4b1bcbe3ee81ff990eb219c10e39ce9ab73", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005753", "prompt": "Find x: 5(x - 10) + 5 = 6(x + 9) - 106", "solution_steps": ["Expand: 5x - 50 + 5 = 6(x + 9) - 106", "Expand: 5x - 50 + 5 = 6x + 54 - 106", "Combine constants: 5x - 45 = 6x + 54 - 106", "Combine constants: 5x - 45 = 6x - 52", "Subtract 6x from both sides: -x - 45 = -52", "Add 45 to both sides: -x = -7", "Divide both sides by -1: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 10) + 5 = 6(x + 9) - 106", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 10, \"c\": 5, \"d\": 6, \"e\": 9, \"g\": -106, \"x\": 7}", "seed": "6960414512013168537", "semantic_fingerprint": "sha256:2d2224fce2ed7efc3fafafdf8f44c419c0b42ce68db151b462198ded155103d8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005754", "prompt": "Find x: 5(x - 1) - 4 = 12(x - 9) - 41", "solution_steps": ["Expand: 5x - 5 - 4 = 12(x - 9) - 41", "Expand: 5x - 5 - 4 = 12x - 108 - 41", "Combine constants: 5x - 9 = 12x - 108 - 41", "Combine constants: 5x - 9 = 12x - 149", "Subtract 12x from both sides: -7x - 9 = -149", "Add 9 to both sides: -7x = -140", "Divide both sides by -7: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 1) - 4 = 12(x - 9) - 41", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"c\": 4, \"d\": 12, \"e\": 9, \"g\": -41, \"x\": 20}", "seed": "7761958476905139418", "semantic_fingerprint": "sha256:49645f3c458264e849665b6b716e0542802c15222c2d9357a23089d2861b55e6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005755", "prompt": "What value of x satisfies 9x - 9 = -5(x + 21) + 82?", "solution_steps": ["Expand: 9x - 9 = -5x - 105 + 82", "Combine constants: 9x - 9 = -5x - 23", "Add 5x to both sides: 14x - 9 = -23", "Add 9 to both sides: 14x = -14", "Divide both sides by 14: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 9 = -5(x + 21) + 82", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": -5, \"d\": 21, \"f\": 82, \"x\": -1}", "seed": "17353151772388512528", "semantic_fingerprint": "sha256:565a20280bb0bb169541ee4d3cb327480e6561db36ff67d7664bf62e71fc33e1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005756", "prompt": "Evaluate: (-30 - 90) / (2 * 77)", "solution_steps": ["Subtract: -30 - 90 = -120", "Multiply: 2 * 77 = 154", "Divide: -120 / 154 = -60/77"], "final_answer": "-60/77", "answer_type": "rational", "kind": "expression", "math_text": "(-30 - 90) / (2 * 77)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": 90, \"c\": 2, \"d\": 77}", "seed": "100674326980470", "semantic_fingerprint": "sha256:39dfba414906520678b394ba0487c47bdd054124d940e43b41e6db01d62f1429", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005757", "prompt": "Evaluate: -34 + (-74) - (-886 + (-60))", "solution_steps": ["Add: -34 + (-74) = -108", "Add: -886 + (-60) = -946", "Subtract: -108 - (-946) = 838"], "final_answer": "838", "answer_type": "integer", "kind": "expression", "math_text": "-34 + (-74) - (-886 + (-60))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": -74, \"c\": -886, \"d\": -60}", "seed": "12049662415712185721", "semantic_fingerprint": "sha256:b7b80d9cd611dd9e5bef4807dcb2659ee2b8af2a2f2cf10b6e97db2ab33d5baf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005758", "prompt": "Compute: -80 / (-98) - 2 * (0 - 827)", "solution_steps": ["Divide: -80 / (-98) = 40/49", "Subtract: 0 - 827 = -827", "Multiply: 2 * (-827) = -1654", "Subtract: 40/49 - (-1654) = 81086/49"], "final_answer": "81086/49", "answer_type": "rational", "kind": "expression", "math_text": "-80 / (-98) - 2 * (0 - 827)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": -98, \"c\": 2, \"d\": 0, \"e\": 827}", "seed": "4450279310390060900", "semantic_fingerprint": "sha256:a536c881aff40ca02e840e08a030a4780787792baf63a0ba8848f549adf9aaa4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005759", "prompt": "What value of x satisfies 9(x + 38) - 301 = x - 1?", "solution_steps": ["Expand: 9x + 342 - 301 = x - 1", "Combine constants: 9x + 41 = x - 1", "Subtract x from both sides: 8x + 41 = -1", "Subtract 41 from both sides: 8x = -42", "Divide both sides by 8: x = -21/4"], "final_answer": "-21/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 38) - 301 = x - 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 38, \"c\": 301, \"d\": 1}", "seed": "4025979359090137434", "semantic_fingerprint": "sha256:a6cd45c98d31ab9c7d35d0b1585ec4e33bde88c3c3cd646af86dce52c0ad8b82", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005760", "prompt": "Compute: 3 * (-3) - (759 - (-68 + 6))", "solution_steps": ["Multiply: 3 * (-3) = -9", "Add: -68 + 6 = -62", "Subtract: 759 - (-62) = 821", "Subtract: -9 - 821 = -830"], "final_answer": "-830", "answer_type": "integer", "kind": "expression", "math_text": "3 * (-3) - (759 - (-68 + 6))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -3, \"c\": 759, \"d\": -68, \"e\": 6}", "seed": "15817749597924522702", "semantic_fingerprint": "sha256:291b8420a82f802fb4ca774c834ec325396bb8ba9237b9c932e1687e72b669b1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005761", "prompt": "Compute: 71 / (786 - 18 - (-24))", "solution_steps": ["Subtract: 786 - 18 = 768", "Subtract: 768 - (-24) = 792", "Divide: 71 / 792 = 71/792"], "final_answer": "71/792", "answer_type": "rational", "kind": "expression", "math_text": "71 / (786 - 18 - (-24))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 786, \"c\": 18, \"d\": -24}", "seed": "12051887015852351218", "semantic_fingerprint": "sha256:78d80bc4ae3831115b5dc4a83930159552cbe44329ea5bb5047b648860be6c32", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005762", "prompt": "Calculate: (-4 + (-74)) / (39 / (-44))", "solution_steps": ["Add: -4 + (-74) = -78", "Divide: 39 / (-44) = -39/44", "Divide: -78 / (-39/44) = 88"], "final_answer": "88", "answer_type": "integer", "kind": "expression", "math_text": "(-4 + (-74)) / (39 / (-44))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -74, \"c\": 39, \"d\": -44}", "seed": "3776240616614782244", "semantic_fingerprint": "sha256:2de995c06060aae8c0f1d9114f5c8bccf4fc1f6c44f8f756eb0fa7acc8b3d8a3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005763", "prompt": "What is (428 * 4 + 52) * 31?", "solution_steps": ["Multiply: 428 * 4 = 1712", "Add: 1712 + 52 = 1764", "Multiply: 1764 * 31 = 54684"], "final_answer": "54684", "answer_type": "integer", "kind": "expression", "math_text": "(428 * 4 + 52) * 31", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 428, \"b\": 4, \"c\": 52, \"d\": 31}", "seed": "10543737089932789350", "semantic_fingerprint": "sha256:5692d1d4cffc8cc2c68d62c54fd4794a244a3bb5d0004ca904cf269282d63522", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005764", "prompt": "Compute: 868 - (-30 * 3 - 894) / (-97 + (-365))", "solution_steps": ["Multiply: -30 * 3 = -90", "Subtract: -90 - 894 = -984", "Add: -97 + (-365) = -462", "Divide: -984 / (-462) = 164/77", "Subtract: 868 - 164/77 = 66672/77"], "final_answer": "66672/77", "answer_type": "rational", "kind": "expression", "math_text": "868 - (-30 * 3 - 894) / (-97 + (-365))", "variable": null, "family": "expression_5op", "shape": "(- n (/ (- (* n n) n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 868, \"b\": -30, \"c\": 3, \"d\": 894, \"e\": -97, \"f\": -365}", "seed": "7006274822443661980", "semantic_fingerprint": "sha256:bfb2e0777d3b6d8805d0cb036aaffe323541c8ad76f1340565df35bbe9c511f2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005765", "prompt": "Calculate: (-8 + (-87) + 2) * 1", "solution_steps": ["Add: -8 + (-87) = -95", "Add: -95 + 2 = -93", "Multiply: -93 * 1 = -93"], "final_answer": "-93", "answer_type": "integer", "kind": "expression", "math_text": "(-8 + (-87) + 2) * 1", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -87, \"c\": 2, \"d\": 1}", "seed": "14140576694429710151", "semantic_fingerprint": "sha256:521c05643a93c46335b1bc05e7af3f7d5240732aad19131564a872febdbe6e06", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005766", "prompt": "Compute: 9 + 906 + (-5) / (-824) * (-5 + 4)", "solution_steps": ["Add: 9 + 906 = 915", "Divide: -5 / (-824) = 5/824", "Add: -5 + 4 = -1", "Multiply: (5/824) * (-1) = -5/824", "Add: 915 + (-5/824) = 753955/824"], "final_answer": "753955/824", "answer_type": "rational", "kind": "expression", "math_text": "9 + 906 + (-5) / (-824) * (-5 + 4)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (* (/ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 906, \"c\": -5, \"d\": -824, \"e\": -5, \"f\": 4}", "seed": "1039159290294874208", "semantic_fingerprint": "sha256:31df05eca6a1566a2eb991b925b73bca82ef3c1945ea5808db4c969ff1064ddd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005767", "prompt": "Compute: -8 - (-599 - (-30 - (-43)))", "solution_steps": ["Subtract: -30 - (-43) = 13", "Subtract: -599 - 13 = -612", "Subtract: -8 - (-612) = 604"], "final_answer": "604", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (-599 - (-30 - (-43)))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -599, \"c\": -30, \"d\": -43}", "seed": "12439863178188575320", "semantic_fingerprint": "sha256:ef2874b9178cb15be25009e92ff547fb80e27d19a7e16a3801a9145058d30aab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005768", "prompt": "Solve the equation -4(x - 8) + 78 = 11x + 589 for x.", "solution_steps": ["Expand: -4x + 32 + 78 = 11x + 589", "Combine constants: -4x + 110 = 11x + 589", "Subtract 11x from both sides: -15x + 110 = 589", "Subtract 110 from both sides: -15x = 479", "Divide both sides by -15: x = -479/15"], "final_answer": "-479/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 8) + 78 = 11x + 589", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 8, \"c\": 78, \"d\": 11, \"e\": 589}", "seed": "15563104695546772243", "semantic_fingerprint": "sha256:0d95eca33ee8b4bf94c02565b91833b43120fea49d692853a56a551f98741b5b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005769", "prompt": "Calculate: 7 + (-7 - 921) * (30 * (-4))", "solution_steps": ["Subtract: -7 - 921 = -928", "Multiply: 30 * (-4) = -120", "Multiply: -928 * (-120) = 111360", "Add: 7 + 111360 = 111367"], "final_answer": "111367", "answer_type": "integer", "kind": "expression", "math_text": "7 + (-7 - 921) * (30 * (-4))", "variable": null, "family": "expression_4op", "shape": "(+ n (* (- n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -7, \"c\": 921, \"d\": 30, \"e\": -4}", "seed": "12236070065235884373", "semantic_fingerprint": "sha256:897e465781ec0a8a9b7dbe9871fefc1361587671650e373be519f7e37e6a90ef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005770", "prompt": "What value of x satisfies x - 32 = -11(x - 70) + 74?", "solution_steps": ["Expand: x - 32 = -11x + 770 + 74", "Combine constants: x - 32 = -11x + 844", "Add 11x to both sides: 12x - 32 = 844", "Add 32 to both sides: 12x = 876", "Divide both sides by 12: x = 73"], "final_answer": "73", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 32 = -11(x - 70) + 74", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -11, \"c\": 70, \"d\": 74}", "seed": "10846788513755877849", "semantic_fingerprint": "sha256:e61f2f8f9d9740a01f17bd042cb69fa314edf8616b46a787b4025c27dd7edea0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005771", "prompt": "What is 1 * 14 - 27 - 43 + (-48)?", "solution_steps": ["Multiply: 1 * 14 = 14", "Subtract: 14 - 27 = -13", "Subtract: -13 - 43 = -56", "Add: -56 + (-48) = -104"], "final_answer": "-104", "answer_type": "integer", "kind": "expression", "math_text": "1 * 14 - 27 - 43 + (-48)", "variable": null, "family": "expression_4op", "shape": "(+ (- (- (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 14, \"c\": 27, \"d\": 43, \"e\": -48}", "seed": "17145038573119506690", "semantic_fingerprint": "sha256:b0cea023827df97e801edd68a5c85bc0e31c4d08b3aafe655936dea5fb2f7009", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005772", "prompt": "Calculate: (93 + (61 - (-8) - (-24))) / (-85 - (-26))", "solution_steps": ["Subtract: 61 - (-8) = 69", "Subtract: 69 - (-24) = 93", "Add: 93 + 93 = 186", "Subtract: -85 - (-26) = -59", "Divide: 186 / (-59) = -186/59"], "final_answer": "-186/59", "answer_type": "rational", "kind": "expression", "math_text": "(93 + (61 - (-8) - (-24))) / (-85 - (-26))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (- (- n n) n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 61, \"c\": -8, \"d\": -24, \"e\": -85, \"f\": -26}", "seed": "18131389706271014324", "semantic_fingerprint": "sha256:85e13278d8f317a0a232b6dd6fe3b818d1192449c565720af4d64723ece04304", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005773", "prompt": "What value of x satisfies x - 91 = 12(x - 3) + 66?", "solution_steps": ["Expand: x - 91 = 12x - 36 + 66", "Combine constants: x - 91 = 12x + 30", "Subtract 12x from both sides: -11x - 91 = 30", "Add 91 to both sides: -11x = 121", "Divide both sides by -11: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 91 = 12(x - 3) + 66", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": 12, \"c\": 3, \"e\": 66, \"x\": -11}", "seed": "8026167728666195247", "semantic_fingerprint": "sha256:92ce6f4aae00622b6291c5a7240a882c1b4aa98d8c835c85c6015b4aa48015db", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005774", "prompt": "Find x: x - 101 = -5(x - 6) + 1", "solution_steps": ["Expand: x - 101 = -5x + 30 + 1", "Combine constants: x - 101 = -5x + 31", "Add 5x to both sides: 6x - 101 = 31", "Add 101 to both sides: 6x = 132", "Divide both sides by 6: x = 22"], "final_answer": "22", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 101 = -5(x - 6) + 1", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 101, \"b\": -5, \"c\": 6, \"d\": 1}", "seed": "5650089625509788864", "semantic_fingerprint": "sha256:ecceaeb70ce3fe6864f5fb846b1a1ee7e8e17582a20c8b06d9a4c5a7bf14bd4c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005775", "prompt": "What is 11 * (0 - 0 + 533)?", "solution_steps": ["Subtract: 0 - 0 = 0", "Add: 0 + 533 = 533", "Multiply: 11 * 533 = 5863"], "final_answer": "5863", "answer_type": "integer", "kind": "expression", "math_text": "11 * (0 - 0 + 533)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 0, \"c\": 0, \"d\": 533}", "seed": "12532818896880767319", "semantic_fingerprint": "sha256:22ee2575edf6c72ff2c84871e045a33e19720f9313323112a727e2b42d4355c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005776", "prompt": "What is -2 + (-912 / 612 + (61 + 728 + 75))?", "solution_steps": ["Divide: -912 / 612 = -76/51", "Add: 61 + 728 = 789", "Add: 789 + 75 = 864", "Add: -76/51 + 864 = 43988/51", "Add: -2 + 43988/51 = 43886/51"], "final_answer": "43886/51", "answer_type": "rational", "kind": "expression", "math_text": "-2 + (-912 / 612 + (61 + 728 + 75))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (/ n n) (+ (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -912, \"c\": 612, \"d\": 61, \"e\": 728, \"f\": 75}", "seed": "2137307302714097390", "semantic_fingerprint": "sha256:6a797732eb9e540771d2f764812193e22886158bfe18d56664c417c845047b3e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005777", "prompt": "Find x: -10(x + 23) - 340 = x - 372", "solution_steps": ["Expand: -10x - 230 - 340 = x - 372", "Combine constants: -10x - 570 = x - 372", "Subtract x from both sides: -11x - 570 = -372", "Add 570 to both sides: -11x = 198", "Divide both sides by -11: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 23) - 340 = x - 372", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 23, \"c\": 340, \"e\": -372, \"x\": -18}", "seed": "8152360812333319877", "semantic_fingerprint": "sha256:8b9568edd5f1cfab830e608e4b59cabb47f4c32532260d923dfe6dd216a3f319", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005778", "prompt": "Compute: -1 * (-62 / 43 / 3 - 31)", "solution_steps": ["Divide: -62 / 43 = -62/43", "Divide: (-62/43) / 3 = -62/129", "Subtract: -62/129 - 31 = -4061/129", "Multiply: -1 * (-4061/129) = 4061/129"], "final_answer": "4061/129", "answer_type": "rational", "kind": "expression", "math_text": "-1 * (-62 / 43 / 3 - 31)", "variable": null, "family": "expression_4op", "shape": "(* n (- (/ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -62, \"c\": 43, \"d\": 3, \"e\": 31}", "seed": "16518206825663516987", "semantic_fingerprint": "sha256:124c9cae3f91212010dc130c3c7a791e303fc57ce1a9f41a77db3a8213612757", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005779", "prompt": "Solve the equation 10(x + 81) + 7 = 2(x + 421) - 41 for x.", "solution_steps": ["Expand: 10x + 810 + 7 = 2(x + 421) - 41", "Expand: 10x + 810 + 7 = 2x + 842 - 41", "Combine constants: 10x + 817 = 2x + 842 - 41", "Combine constants: 10x + 817 = 2x + 801", "Subtract 2x from both sides: 8x + 817 = 801", "Subtract 817 from both sides: 8x = -16", "Divide both sides by 8: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 81) + 7 = 2(x + 421) - 41", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 81, \"c\": 7, \"d\": 2, \"e\": 421, \"g\": -41, \"x\": -2}", "seed": "18231569851438712163", "semantic_fingerprint": "sha256:45c3a878e305c581af5c5a5aacee5b536849918c66405b2c1b2ff77c2c6b6fb7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005780", "prompt": "Compute: -6 - (-154 * 38 - (-399 + (609 - (-898))))", "solution_steps": ["Multiply: -154 * 38 = -5852", "Subtract: 609 - (-898) = 1507", "Add: -399 + 1507 = 1108", "Subtract: -5852 - 1108 = -6960", "Subtract: -6 - (-6960) = 6954"], "final_answer": "6954", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (-154 * 38 - (-399 + (609 - (-898))))", "variable": null, "family": "expression_5op", "shape": "(- n (- (* n n) (+ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -154, \"c\": 38, \"d\": -399, \"e\": 609, \"f\": -898}", "seed": "13642133328921408485", "semantic_fingerprint": "sha256:e37580e5f0622fb20a7aa16568d3514bca7f34635a8865c72175ab24daaf563d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005781", "prompt": "Evaluate: -24 - (-4 - 40 - 3 + (-869) * 6)", "solution_steps": ["Subtract: -4 - 40 = -44", "Subtract: -44 - 3 = -47", "Multiply: -869 * 6 = -5214", "Add: -47 + (-5214) = -5261", "Subtract: -24 - (-5261) = 5237"], "final_answer": "5237", "answer_type": "integer", "kind": "expression", "math_text": "-24 - (-4 - 40 - 3 + (-869) * 6)", "variable": null, "family": "expression_5op", "shape": "(- n (+ (- (- n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": -4, \"c\": 40, \"d\": 3, \"e\": -869, \"f\": 6}", "seed": "13699771702913439206", "semantic_fingerprint": "sha256:f591c1ad14934fcd5670ec004afae1e9e288f6da2ad06b50b964a070c4508e9f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005782", "prompt": "What is (-80 + (-569) + (-829)) * 6?", "solution_steps": ["Add: -80 + (-569) = -649", "Add: -649 + (-829) = -1478", "Multiply: -1478 * 6 = -8868"], "final_answer": "-8868", "answer_type": "integer", "kind": "expression", "math_text": "(-80 + (-569) + (-829)) * 6", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": -569, \"c\": -829, \"d\": 6}", "seed": "10654900683638631868", "semantic_fingerprint": "sha256:17b98ba524cf76c0f4003ea10cfba6475b795836b05678281c252cedb5814403", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005783", "prompt": "Calculate: (338 + 5 * 9) / (-4 + 3 - (-85))", "solution_steps": ["Multiply: 5 * 9 = 45", "Add: 338 + 45 = 383", "Add: -4 + 3 = -1", "Subtract: -1 - (-85) = 84", "Divide: 383 / 84 = 383/84"], "final_answer": "383/84", "answer_type": "rational", "kind": "expression", "math_text": "(338 + 5 * 9) / (-4 + 3 - (-85))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (* n n)) (- (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 338, \"b\": 5, \"c\": 9, \"d\": -4, \"e\": 3, \"f\": -85}", "seed": "15351957498114597096", "semantic_fingerprint": "sha256:b1eb2074c7a2461653b7567b649ed791abf2d1bf58252d95f99c4f8785aeafb2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005784", "prompt": "Compute: (182 + 11) * (75 - 94) / (-11 - (-957))", "solution_steps": ["Add: 182 + 11 = 193", "Subtract: 75 - 94 = -19", "Multiply: 193 * (-19) = -3667", "Subtract: -11 - (-957) = 946", "Divide: -3667 / 946 = -3667/946"], "final_answer": "-3667/946", "answer_type": "rational", "kind": "expression", "math_text": "(182 + 11) * (75 - 94) / (-11 - (-957))", "variable": null, "family": "expression_5op", "shape": "(/ (* (+ n n) (- n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 182, \"b\": 11, \"c\": 75, \"d\": 94, \"e\": -11, \"f\": -957}", "seed": "6766647281132630262", "semantic_fingerprint": "sha256:681b752c22171bdc41376fa2dcae9f1cef279f98dc9f31c4df7b76c5fbf77187", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005785", "prompt": "Compute: 1 / (53 / (60 * (-7)))", "solution_steps": ["Multiply: 60 * (-7) = -420", "Divide: 53 / (-420) = -53/420", "Divide: 1 / (-53/420) = -420/53"], "final_answer": "-420/53", "answer_type": "rational", "kind": "expression", "math_text": "1 / (53 / (60 * (-7)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 53, \"c\": 60, \"d\": -7}", "seed": "9558604899355708775", "semantic_fingerprint": "sha256:48e7bbe1c0b7222dd875eb7ca582881fa97681d915c48c962c8062daf39010d6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005786", "prompt": "Solve for x: -5(x - 50) + 3 = 11(x + 53) - 554", "solution_steps": ["Expand: -5x + 250 + 3 = 11(x + 53) - 554", "Expand: -5x + 250 + 3 = 11x + 583 - 554", "Combine constants: -5x + 253 = 11x + 583 - 554", "Combine constants: -5x + 253 = 11x + 29", "Subtract 11x from both sides: -16x + 253 = 29", "Subtract 253 from both sides: -16x = -224", "Divide both sides by -16: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 50) + 3 = 11(x + 53) - 554", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 50, \"c\": 3, \"d\": 11, \"e\": 53, \"g\": -554, \"x\": 14}", "seed": "4770842745153006457", "semantic_fingerprint": "sha256:6152bb6256a6cdac6885c8480f05e6ad3a6ff8877a87f17a799b6e09ca395e14", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005787", "prompt": "Solve for x: x - 1 = 7(x - 6) + 107", "solution_steps": ["Expand: x - 1 = 7x - 42 + 107", "Combine constants: x - 1 = 7x + 65", "Subtract 7x from both sides: -6x - 1 = 65", "Add 1 to both sides: -6x = 66", "Divide both sides by -6: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1 = 7(x - 6) + 107", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 7, \"c\": 6, \"e\": 107, \"x\": -11}", "seed": "15718179211965556206", "semantic_fingerprint": "sha256:ffb15504cbb95756435b7e1f913d9ad8f4063ed1163661b2110c1e543e4e7dba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005788", "prompt": "Solve the equation 11(x + 2) + 8 = 6(x + 26) - 206 for x.", "solution_steps": ["Expand: 11x + 22 + 8 = 6(x + 26) - 206", "Expand: 11x + 22 + 8 = 6x + 156 - 206", "Combine constants: 11x + 30 = 6x + 156 - 206", "Combine constants: 11x + 30 = 6x - 50", "Subtract 6x from both sides: 5x + 30 = -50", "Subtract 30 from both sides: 5x = -80", "Divide both sides by 5: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 2) + 8 = 6(x + 26) - 206", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 8, \"d\": 6, \"e\": 26, \"g\": -206, \"x\": -16}", "seed": "17204770326610832376", "semantic_fingerprint": "sha256:aabc39a468842e70e814fd98bf8b1b8dcfaaf85fd133142e794cbf3bdb1c13b4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005789", "prompt": "What is -3 - 43 / (-76 / (-988))?", "solution_steps": ["Divide: -76 / (-988) = 1/13", "Divide: 43 / (1/13) = 559", "Subtract: -3 - 559 = -562"], "final_answer": "-562", "answer_type": "integer", "kind": "expression", "math_text": "-3 - 43 / (-76 / (-988))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 43, \"c\": -76, \"d\": -988}", "seed": "6253781416248241340", "semantic_fingerprint": "sha256:94e6730278bb5227bf3603e2fe90ba4fb6fc5699b0c495f254ac515eaaa45df0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005790", "prompt": "Evaluate: 54 * (0 * (-91)) - 479", "solution_steps": ["Multiply: 0 * (-91) = 0", "Multiply: 54 * 0 = 0", "Subtract: 0 - 479 = -479"], "final_answer": "-479", "answer_type": "integer", "kind": "expression", "math_text": "54 * (0 * (-91)) - 479", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 0, \"c\": -91, \"d\": 479}", "seed": "5533278554174926958", "semantic_fingerprint": "sha256:7408e4062c8e8e09b8b6fd63647eec002ba75909cd84b51c1eb9ae4cd8d820e2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005791", "prompt": "What is -3 - 587 + 494 * (-74 + (-91))?", "solution_steps": ["Subtract: -3 - 587 = -590", "Add: -74 + (-91) = -165", "Multiply: 494 * (-165) = -81510", "Add: -590 + (-81510) = -82100"], "final_answer": "-82100", "answer_type": "integer", "kind": "expression", "math_text": "-3 - 587 + 494 * (-74 + (-91))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 587, \"c\": 494, \"d\": -74, \"e\": -91}", "seed": "9989190090260283603", "semantic_fingerprint": "sha256:bdc8ae5b86bba99a7e597f0cbbf1fd04f4e4e12fb6340c0ea22d47bedf0d8173", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005792", "prompt": "Compute: -3 / (7 / 1 * (-7 - (-8) / 57))", "solution_steps": ["Divide: 7 / 1 = 7", "Divide: -8 / 57 = -8/57", "Subtract: -7 - (-8/57) = -391/57", "Multiply: 7 * (-391/57) = -2737/57", "Divide: -3 / (-2737/57) = 171/2737"], "final_answer": "171/2737", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (7 / 1 * (-7 - (-8) / 57))", "variable": null, "family": "expression_5op", "shape": "(/ n (* (/ n n) (- n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 7, \"c\": 1, \"d\": -7, \"e\": -8, \"f\": 57}", "seed": "18024119059502379032", "semantic_fingerprint": "sha256:f0719ca20f1bcf0880c6a9f3e06f214d7bea021f0385fe068b1ca9a2d6bd037d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005793", "prompt": "Compute: (-83 * (-72) + (-456)) * (-54)", "solution_steps": ["Multiply: -83 * (-72) = 5976", "Add: 5976 + (-456) = 5520", "Multiply: 5520 * (-54) = -298080"], "final_answer": "-298080", "answer_type": "integer", "kind": "expression", "math_text": "(-83 * (-72) + (-456)) * (-54)", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": -72, \"c\": -456, \"d\": -54}", "seed": "5749617341662924487", "semantic_fingerprint": "sha256:222f6bed7dfddbf9f09bcaba14e26b3412d5227fb67f262e7a7449ade0dc29a2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005794", "prompt": "Solve the equation 7(x - 5) - 280 = -12(x - 3) - 43 for x.", "solution_steps": ["Expand: 7x - 35 - 280 = -12(x - 3) - 43", "Expand: 7x - 35 - 280 = -12x + 36 - 43", "Combine constants: 7x - 315 = -12x + 36 - 43", "Combine constants: 7x - 315 = -12x - 7", "Add 12x to both sides: 19x - 315 = -7", "Add 315 to both sides: 19x = 308", "Divide both sides by 19: x = 308/19"], "final_answer": "308/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 5) - 280 = -12(x - 3) - 43", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 280, \"d\": -12, \"e\": 3, \"f\": 43}", "seed": "6809458479985927422", "semantic_fingerprint": "sha256:63fdb85fb13f5103dce611fdd0c05fc28b686b747623f31c925df0acbdff8070", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005795", "prompt": "Calculate: (-58 + (-3)) / (-17 / (-28))", "solution_steps": ["Add: -58 + (-3) = -61", "Divide: -17 / (-28) = 17/28", "Divide: -61 / (17/28) = -1708/17"], "final_answer": "-1708/17", "answer_type": "rational", "kind": "expression", "math_text": "(-58 + (-3)) / (-17 / (-28))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": -3, \"c\": -17, \"d\": -28}", "seed": "1328807428084479468", "semantic_fingerprint": "sha256:0f0526a2b1c9a78bdd1bc8fbd284b6b5ade18ef31b7b7af0a3cec2acbce270ea", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005796", "prompt": "Evaluate: 388 - 41 / (-3 / (-96))", "solution_steps": ["Divide: -3 / (-96) = 1/32", "Divide: 41 / (1/32) = 1312", "Subtract: 388 - 1312 = -924"], "final_answer": "-924", "answer_type": "integer", "kind": "expression", "math_text": "388 - 41 / (-3 / (-96))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 388, \"b\": 41, \"c\": -3, \"d\": -96}", "seed": "14984133876631511411", "semantic_fingerprint": "sha256:4083fe74f156f89bddaba512cd8b4d1e950e99e7ede6569d4ee2ca7dce4e25c9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005797", "prompt": "Evaluate: -7 / (-603 / 72) / (-20) - (-9) + 22", "solution_steps": ["Divide: -603 / 72 = -67/8", "Divide: -7 / (-67/8) = 56/67", "Divide: (56/67) / (-20) = -14/335", "Subtract: -14/335 - (-9) = 3001/335", "Add: 3001/335 + 22 = 10371/335"], "final_answer": "10371/335", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-603 / 72) / (-20) - (-9) + 22", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ (/ n (/ n n)) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -603, \"c\": 72, \"d\": -20, \"e\": -9, \"f\": 22}", "seed": "4824426453521665823", "semantic_fingerprint": "sha256:d03f65703065d23cb754f1e1a3c11f3a4aaf7b1a8bb6d3cd1347ae0a532da49c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005798", "prompt": "What value of x satisfies -9(x + 40) + 259 = 2(x + 50) - 36?", "solution_steps": ["Expand: -9x - 360 + 259 = 2(x + 50) - 36", "Expand: -9x - 360 + 259 = 2x + 100 - 36", "Combine constants: -9x - 101 = 2x + 100 - 36", "Combine constants: -9x - 101 = 2x + 64", "Subtract 2x from both sides: -11x - 101 = 64", "Add 101 to both sides: -11x = 165", "Divide both sides by -11: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 40) + 259 = 2(x + 50) - 36", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 40, \"c\": 259, \"d\": 2, \"e\": 50, \"g\": -36, \"x\": -15}", "seed": "14603181639944004831", "semantic_fingerprint": "sha256:a537aa0ed77c5644529cb87334cabd37aac3f33a240d823eedf5c60f7c4f4480", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005799", "prompt": "Calculate: -579 / ((-8 + 37 + (-79 + (-60))) / 2)", "solution_steps": ["Add: -8 + 37 = 29", "Add: -79 + (-60) = -139", "Add: 29 + (-139) = -110", "Divide: -110 / 2 = -55", "Divide: -579 / (-55) = 579/55"], "final_answer": "579/55", "answer_type": "rational", "kind": "expression", "math_text": "-579 / ((-8 + 37 + (-79 + (-60))) / 2)", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (+ (+ n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -579, \"b\": -8, \"c\": 37, \"d\": -79, \"e\": -60, \"f\": 2}", "seed": "6861251890586706576", "semantic_fingerprint": "sha256:c0ecf6c2d65aa94bd29a8fc4a75dc7b6749c5e19aabd2b331bc31c4f25d5868f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005800", "prompt": "Evaluate: (-156 + 312 + (-64)) / (-21 / (-26))", "solution_steps": ["Add: -156 + 312 = 156", "Add: 156 + (-64) = 92", "Divide: -21 / (-26) = 21/26", "Divide: 92 / (21/26) = 2392/21"], "final_answer": "2392/21", "answer_type": "rational", "kind": "expression", "math_text": "(-156 + 312 + (-64)) / (-21 / (-26))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -156, \"b\": 312, \"c\": -64, \"d\": -21, \"e\": -26}", "seed": "15668583324088159490", "semantic_fingerprint": "sha256:31bde3784f30b3eb0f83d3a4fae41b056d4c8c6536375578cc4671cc0dfc4d22", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005801", "prompt": "Compute: -1 + (-88) + (-4 - (-49)) * (-39)", "solution_steps": ["Add: -1 + (-88) = -89", "Subtract: -4 - (-49) = 45", "Multiply: 45 * (-39) = -1755", "Add: -89 + (-1755) = -1844"], "final_answer": "-1844", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (-88) + (-4 - (-49)) * (-39)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -88, \"c\": -4, \"d\": -49, \"e\": -39}", "seed": "12735321035662892456", "semantic_fingerprint": "sha256:f5edf6fc458d8217dd6a6c22dde60c63776506de6a3bb27b3b54811d391f122d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005802", "prompt": "Find x: 9(x + 23) - 485 = x - 366", "solution_steps": ["Expand: 9x + 207 - 485 = x - 366", "Combine constants: 9x - 278 = x - 366", "Subtract x from both sides: 8x - 278 = -366", "Add 278 to both sides: 8x = -88", "Divide both sides by 8: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 23) - 485 = x - 366", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 23, \"c\": 485, \"e\": -366, \"x\": -11}", "seed": "15047689439587472463", "semantic_fingerprint": "sha256:ab3f7b7905f0b75fd159bb2a789bb1412cb011d844e29a90f9e8426b392cbdb3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005803", "prompt": "Compute: (65 - 40) * (30 * 984)", "solution_steps": ["Subtract: 65 - 40 = 25", "Multiply: 30 * 984 = 29520", "Multiply: 25 * 29520 = 738000"], "final_answer": "738000", "answer_type": "integer", "kind": "expression", "math_text": "(65 - 40) * (30 * 984)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 40, \"c\": 30, \"d\": 984}", "seed": "6124777396385043747", "semantic_fingerprint": "sha256:14fd635f5aeae366527beb4d294f510ec6504d571fcb8d8bfb717021b9d23803", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005804", "prompt": "What is (-19 - (-23)) / (26 * (-4))?", "solution_steps": ["Subtract: -19 - (-23) = 4", "Multiply: 26 * (-4) = -104", "Divide: 4 / (-104) = -1/26"], "final_answer": "-1/26", "answer_type": "rational", "kind": "expression", "math_text": "(-19 - (-23)) / (26 * (-4))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": -23, \"c\": 26, \"d\": -4}", "seed": "16367744741791929185", "semantic_fingerprint": "sha256:d64093ec04ec48fd136b884869f959277a79e8883bc533d6fb31c10bc5d556f7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005805", "prompt": "Find x: -12(x - 8) - 22 = -4(x - 90) - 438", "solution_steps": ["Expand: -12x + 96 - 22 = -4(x - 90) - 438", "Expand: -12x + 96 - 22 = -4x + 360 - 438", "Combine constants: -12x + 74 = -4x + 360 - 438", "Combine constants: -12x + 74 = -4x - 78", "Add 4x to both sides: -8x + 74 = -78", "Subtract 74 from both sides: -8x = -152", "Divide both sides by -8: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 8) - 22 = -4(x - 90) - 438", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 8, \"c\": 22, \"d\": -4, \"e\": 90, \"g\": -438, \"x\": 19}", "seed": "9654876632992553348", "semantic_fingerprint": "sha256:3119b07ad72a8572bc1511fc779addb00abada38ff093f6cdfdfea4fda531bab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005806", "prompt": "Evaluate: 14 / 1 / (-2) * (309 - 93 + (-73))", "solution_steps": ["Divide: 14 / 1 = 14", "Divide: 14 / (-2) = -7", "Subtract: 309 - 93 = 216", "Add: 216 + (-73) = 143", "Multiply: -7 * 143 = -1001"], "final_answer": "-1001", "answer_type": "integer", "kind": "expression", "math_text": "14 / 1 / (-2) * (309 - 93 + (-73))", "variable": null, "family": "expression_5op", "shape": "(* (/ (/ n n) n) (+ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 1, \"c\": -2, \"d\": 309, \"e\": 93, \"f\": -73}", "seed": "7953208886101880785", "semantic_fingerprint": "sha256:51750c2178b02b7077f6c394cb5728a0c78c9625e78e712833ef177808351592", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005807", "prompt": "Compute: (-22 - (-60) - (-3)) * ((-7 + (-4)) / (-5))", "solution_steps": ["Subtract: -22 - (-60) = 38", "Subtract: 38 - (-3) = 41", "Add: -7 + (-4) = -11", "Divide: -11 / (-5) = 11/5", "Multiply: 41 * (11/5) = 451/5"], "final_answer": "451/5", "answer_type": "rational", "kind": "expression", "math_text": "(-22 - (-60) - (-3)) * ((-7 + (-4)) / (-5))", "variable": null, "family": "expression_5op", "shape": "(* (- (- n n) n) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": -60, \"c\": -3, \"d\": -7, \"e\": -4, \"f\": -5}", "seed": "7488586248146213626", "semantic_fingerprint": "sha256:e2082033227b476666625abf81fa00f0c5a7c4c44dc1f92ba6881937f7420a98", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005808", "prompt": "What is (487 - (-60 - (-87))) / (-42 + (-7))?", "solution_steps": ["Subtract: -60 - (-87) = 27", "Subtract: 487 - 27 = 460", "Add: -42 + (-7) = -49", "Divide: 460 / (-49) = -460/49"], "final_answer": "-460/49", "answer_type": "rational", "kind": "expression", "math_text": "(487 - (-60 - (-87))) / (-42 + (-7))", "variable": null, "family": "expression_4op", "shape": "(/ (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 487, \"b\": -60, \"c\": -87, \"d\": -42, \"e\": -7}", "seed": "12616449352235733027", "semantic_fingerprint": "sha256:5d60a5b116ded497c4e24bb9982ff2924a8c3ec779b14ed75a20d6cac6520ce1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005809", "prompt": "Compute: -75 + (-2 / (-52) - 736 - (-83))", "solution_steps": ["Divide: -2 / (-52) = 1/26", "Subtract: 1/26 - 736 = -19135/26", "Subtract: -19135/26 - (-83) = -16977/26", "Add: -75 + (-16977/26) = -18927/26"], "final_answer": "-18927/26", "answer_type": "rational", "kind": "expression", "math_text": "-75 + (-2 / (-52) - 736 - (-83))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (- (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -2, \"c\": -52, \"d\": 736, \"e\": -83}", "seed": "10349212399183339828", "semantic_fingerprint": "sha256:e194cca6ad3ba82480312f62a7ea7212916c31540878a8b7ae8bf8f9b74091a5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005810", "prompt": "Compute: 16 / 359 * (-5 / (-8) / (-36))", "solution_steps": ["Divide: 16 / 359 = 16/359", "Divide: -5 / (-8) = 5/8", "Divide: (5/8) / (-36) = -5/288", "Multiply: (16/359) * (-5/288) = -5/6462"], "final_answer": "-5/6462", "answer_type": "rational", "kind": "expression", "math_text": "16 / 359 * (-5 / (-8) / (-36))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 359, \"c\": -5, \"d\": -8, \"e\": -36}", "seed": "11792082839323425918", "semantic_fingerprint": "sha256:01a43dca178f8b4fffa88af6e5160e552ea1e68f43bcb3ef350febb32b5189c0", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005811", "prompt": "What is -38 - (-1 * 838 + 578)?", "solution_steps": ["Multiply: -1 * 838 = -838", "Add: -838 + 578 = -260", "Subtract: -38 - (-260) = 222"], "final_answer": "222", "answer_type": "integer", "kind": "expression", "math_text": "-38 - (-1 * 838 + 578)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": -1, \"c\": 838, \"d\": 578}", "seed": "1408191254923082880", "semantic_fingerprint": "sha256:112d363e7f4a556a5081ce64ce8693929a5df6bf615277bccea1d4d36e2b0eef", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005812", "prompt": "Calculate: -33 / (-6 * 3) - 487", "solution_steps": ["Multiply: -6 * 3 = -18", "Divide: -33 / (-18) = 11/6", "Subtract: 11/6 - 487 = -2911/6"], "final_answer": "-2911/6", "answer_type": "rational", "kind": "expression", "math_text": "-33 / (-6 * 3) - 487", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": -6, \"c\": 3, \"d\": 487}", "seed": "1164182443612570023", "semantic_fingerprint": "sha256:788fe91571107e6f6d783ab36bddff012179ba16f0391ff85b2fac8eefc853c6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005813", "prompt": "Compute: -280 - (-31) / (131 / (-130))", "solution_steps": ["Divide: 131 / (-130) = -131/130", "Divide: -31 / (-131/130) = 4030/131", "Subtract: -280 - 4030/131 = -40710/131"], "final_answer": "-40710/131", "answer_type": "rational", "kind": "expression", "math_text": "-280 - (-31) / (131 / (-130))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -280, \"b\": -31, \"c\": 131, \"d\": -130}", "seed": "12441986807868588738", "semantic_fingerprint": "sha256:68d735bf8bafee9627561cc020ae2269310344fd5a0e828227a20e61f2310ac2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005814", "prompt": "Calculate: -305 - (-457 / 47 + 46) + (-7)", "solution_steps": ["Divide: -457 / 47 = -457/47", "Add: -457/47 + 46 = 1705/47", "Subtract: -305 - 1705/47 = -16040/47", "Add: -16040/47 + (-7) = -16369/47"], "final_answer": "-16369/47", "answer_type": "rational", "kind": "expression", "math_text": "-305 - (-457 / 47 + 46) + (-7)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (+ (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -305, \"b\": -457, \"c\": 47, \"d\": 46, \"e\": -7}", "seed": "10317141735883458606", "semantic_fingerprint": "sha256:d71c2ece7dc986e424364fd5e30663c40afe727149b7fe076fc5aa475192f362", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005815", "prompt": "Calculate: 79 + 93 / (-406 - (-42))", "solution_steps": ["Subtract: -406 - (-42) = -364", "Divide: 93 / (-364) = -93/364", "Add: 79 + (-93/364) = 28663/364"], "final_answer": "28663/364", "answer_type": "rational", "kind": "expression", "math_text": "79 + 93 / (-406 - (-42))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": 93, \"c\": -406, \"d\": -42}", "seed": "9246100346298519734", "semantic_fingerprint": "sha256:f24746a8bec6b627728c75714bff9d0757d42fed51705cd8a91646c0180e471c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005816", "prompt": "What is (-227 - (-201)) / (-1 * (-65))?", "solution_steps": ["Subtract: -227 - (-201) = -26", "Multiply: -1 * (-65) = 65", "Divide: -26 / 65 = -2/5"], "final_answer": "-2/5", "answer_type": "rational", "kind": "expression", "math_text": "(-227 - (-201)) / (-1 * (-65))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -227, \"b\": -201, \"c\": -1, \"d\": -65}", "seed": "3284210695174176949", "semantic_fingerprint": "sha256:a114eef48ca5a465418584e663ad87120faee5daa73b71423d930590533a3bf1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005817", "prompt": "Solve for x: 5(x - 29) + 67 = -10x + 12", "solution_steps": ["Expand: 5x - 145 + 67 = -10x + 12", "Combine constants: 5x - 78 = -10x + 12", "Add 10x to both sides: 15x - 78 = 12", "Add 78 to both sides: 15x = 90", "Divide both sides by 15: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 29) + 67 = -10x + 12", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 29, \"c\": 67, \"d\": -10, \"f\": 12, \"x\": 6}", "seed": "12228661694760907272", "semantic_fingerprint": "sha256:3f631f56708010f6a4bc9578c304421aa280b419af893801c62a8fe71a483949", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005818", "prompt": "What is (1 * 0 + (-9)) * (-3)?", "solution_steps": ["Multiply: 1 * 0 = 0", "Add: 0 + (-9) = -9", "Multiply: -9 * (-3) = 27"], "final_answer": "27", "answer_type": "integer", "kind": "expression", "math_text": "(1 * 0 + (-9)) * (-3)", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 0, \"c\": -9, \"d\": -3}", "seed": "3070210967059920713", "semantic_fingerprint": "sha256:1f28b7d13fc5f9582301752c6092b344c647c4cd5a024eb186c3e5dbc780046d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005819", "prompt": "Solve for x: -4(x - 60) + 213 = -3x + 458", "solution_steps": ["Expand: -4x + 240 + 213 = -3x + 458", "Combine constants: -4x + 453 = -3x + 458", "Add 3x to both sides: -x + 453 = 458", "Subtract 453 from both sides: -x = 5", "Divide both sides by -1: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 60) + 213 = -3x + 458", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 60, \"c\": 213, \"d\": -3, \"f\": 458, \"x\": -5}", "seed": "12397139285677806856", "semantic_fingerprint": "sha256:7920b0ce95cf4c3f5e0a1dae52d3a41f01f887ec00100e6f233cf64bce5f1d9f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005820", "prompt": "Solve for x: -2(x - 1) - 30 = -12(x - 8)", "solution_steps": ["Expand: -2x + 2 - 30 = -12(x - 8)", "Expand: -2x + 2 - 30 = -12x + 96", "Combine constants: -2x - 28 = -12x + 96", "Add 12x to both sides: 10x - 28 = 96", "Add 28 to both sides: 10x = 124", "Divide both sides by 10: x = 62/5"], "final_answer": "62/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 1) - 30 = -12(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 1, \"c\": 30, \"d\": -12, \"e\": 8}", "seed": "1675762539042212783", "semantic_fingerprint": "sha256:539d533b41544ac1db62f7f06b972d9d2bd4cd969ebe17e049dda8e0bb790d31", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005821", "prompt": "Compute: (290 - (-18)) * (-5 / 667 / 14)", "solution_steps": ["Subtract: 290 - (-18) = 308", "Divide: -5 / 667 = -5/667", "Divide: (-5/667) / 14 = -5/9338", "Multiply: 308 * (-5/9338) = -110/667"], "final_answer": "-110/667", "answer_type": "rational", "kind": "expression", "math_text": "(290 - (-18)) * (-5 / 667 / 14)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 290, \"b\": -18, \"c\": -5, \"d\": 667, \"e\": 14}", "seed": "8851670744210388026", "semantic_fingerprint": "sha256:828e7d76fa943feae620ebb69738e8f8a27fb26681d7662b99f6e0daa76b39bb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005822", "prompt": "What is 0 + (-8) / (-2 - 5)?", "solution_steps": ["Subtract: -2 - 5 = -7", "Divide: -8 / (-7) = 8/7", "Add: 0 + 8/7 = 8/7"], "final_answer": "8/7", "answer_type": "rational", "kind": "expression", "math_text": "0 + (-8) / (-2 - 5)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -8, \"c\": -2, \"d\": 5}", "seed": "7981208221222147427", "semantic_fingerprint": "sha256:445e9e1e78b922495eda1e3a9b3aba1d0ce78eaeedc73711909ceaf4acb428d7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005823", "prompt": "Compute: 125 * (208 / 346 / (-82))", "solution_steps": ["Divide: 208 / 346 = 104/173", "Divide: (104/173) / (-82) = -52/7093", "Multiply: 125 * (-52/7093) = -6500/7093"], "final_answer": "-6500/7093", "answer_type": "rational", "kind": "expression", "math_text": "125 * (208 / 346 / (-82))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 125, \"b\": 208, \"c\": 346, \"d\": -82}", "seed": "6164495476326098272", "semantic_fingerprint": "sha256:7599ed431dad4ce1a3935bfb5abb35927f90a5dcfe857d50cd1ab9dfc216b893", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005824", "prompt": "Evaluate: (-2 - 0) * 268 * 0", "solution_steps": ["Subtract: -2 - 0 = -2", "Multiply: -2 * 268 = -536", "Multiply: -536 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-2 - 0) * 268 * 0", "variable": null, "family": "expression_3op", "shape": "(* (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 0, \"c\": 268, \"d\": 0}", "seed": "856451803400954967", "semantic_fingerprint": "sha256:8a7a6f9ec24fcd940372ee3ba8d5192fc629bde9d5577461d6793dd02f2c241d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005825", "prompt": "Calculate: (-38 / (-4) + (-61)) * 6", "solution_steps": ["Divide: -38 / (-4) = 19/2", "Add: 19/2 + (-61) = -103/2", "Multiply: (-103/2) * 6 = -309"], "final_answer": "-309", "answer_type": "integer", "kind": "expression", "math_text": "(-38 / (-4) + (-61)) * 6", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": -4, \"c\": -61, \"d\": 6}", "seed": "16099736513392489355", "semantic_fingerprint": "sha256:84fe751ea83e1e1a478490b369237fa86ef8f6d2537428d920aea58597c6452c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005826", "prompt": "Calculate: (86 + 54) / (31 / (-8)) * 30", "solution_steps": ["Add: 86 + 54 = 140", "Divide: 31 / (-8) = -31/8", "Divide: 140 / (-31/8) = -1120/31", "Multiply: (-1120/31) * 30 = -33600/31"], "final_answer": "-33600/31", "answer_type": "rational", "kind": "expression", "math_text": "(86 + 54) / (31 / (-8)) * 30", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 54, \"c\": 31, \"d\": -8, \"e\": 30}", "seed": "13060745930555857626", "semantic_fingerprint": "sha256:e346e1958ede12b3c3d1fd900eef5e40214f538928864b15819045eb2315e0b3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005827", "prompt": "What is 34 * ((-3 + (-92)) / 7) * 756?", "solution_steps": ["Add: -3 + (-92) = -95", "Divide: -95 / 7 = -95/7", "Multiply: 34 * (-95/7) = -3230/7", "Multiply: (-3230/7) * 756 = -348840"], "final_answer": "-348840", "answer_type": "integer", "kind": "expression", "math_text": "34 * ((-3 + (-92)) / 7) * 756", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": -3, \"c\": -92, \"d\": 7, \"e\": 756}", "seed": "16355418694275783695", "semantic_fingerprint": "sha256:79a4efe81e4bc6c8ec542882d65c9a3e71652944e9935fe8a8ce848371e771cb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005828", "prompt": "What is -947 * (-5) + (733 + 0) - 4?", "solution_steps": ["Multiply: -947 * (-5) = 4735", "Add: 733 + 0 = 733", "Add: 4735 + 733 = 5468", "Subtract: 5468 - 4 = 5464"], "final_answer": "5464", "answer_type": "integer", "kind": "expression", "math_text": "-947 * (-5) + (733 + 0) - 4", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -947, \"b\": -5, \"c\": 733, \"d\": 0, \"e\": 4}", "seed": "15903870130331729368", "semantic_fingerprint": "sha256:5108bcf015fffa58427110a3d4298d558d70a078f84bb7d72f9e160c94117081", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005829", "prompt": "What is 81 * 37 * 7 - (8 - (-2))?", "solution_steps": ["Multiply: 81 * 37 = 2997", "Multiply: 2997 * 7 = 20979", "Subtract: 8 - (-2) = 10", "Subtract: 20979 - 10 = 20969"], "final_answer": "20969", "answer_type": "integer", "kind": "expression", "math_text": "81 * 37 * 7 - (8 - (-2))", "variable": null, "family": "expression_4op", "shape": "(- (* (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 37, \"c\": 7, \"d\": 8, \"e\": -2}", "seed": "11239175601784401137", "semantic_fingerprint": "sha256:e5cac1eaf0b7a5c02424dcfa35084dca7558d8bbff36c4edddc8a43ed508a67b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005830", "prompt": "What value of x satisfies 12(x - 708) + 290 = 10(x - 937)?", "solution_steps": ["Expand: 12x - 8496 + 290 = 10(x - 937)", "Expand: 12x - 8496 + 290 = 10x - 9370", "Combine constants: 12x - 8206 = 10x - 9370", "Subtract 10x from both sides: 2x - 8206 = -9370", "Add 8206 to both sides: 2x = -1164", "Divide both sides by 2: x = -582"], "final_answer": "-582", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 708) + 290 = 10(x - 937)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 708, \"c\": 290, \"d\": 10, \"e\": 937}", "seed": "641651765760039077", "semantic_fingerprint": "sha256:5aa53c6b06893c3af5dff87fcc5e6d2b98e69894bd9976b87180b0eee3af5e6a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005831", "prompt": "Evaluate: -61 / 718 + 1 / (-4)", "solution_steps": ["Divide: -61 / 718 = -61/718", "Divide: 1 / (-4) = -1/4", "Add: -61/718 + (-1/4) = -481/1436"], "final_answer": "-481/1436", "answer_type": "rational", "kind": "expression", "math_text": "-61 / 718 + 1 / (-4)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": 718, \"c\": 1, \"d\": -4}", "seed": "6306917540732371042", "semantic_fingerprint": "sha256:2e13ccf4e6050f919a891dad437553894380565f7586b94f48089fe7e26dca19", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005832", "prompt": "Find x: 11(x - 795) + 82 = -3(x - 8)", "solution_steps": ["Expand: 11x - 8745 + 82 = -3(x - 8)", "Expand: 11x - 8745 + 82 = -3x + 24", "Combine constants: 11x - 8663 = -3x + 24", "Add 3x to both sides: 14x - 8663 = 24", "Add 8663 to both sides: 14x = 8687", "Divide both sides by 14: x = 1241/2"], "final_answer": "1241/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 795) + 82 = -3(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 795, \"c\": 82, \"d\": -3, \"e\": 8}", "seed": "1409720687280217293", "semantic_fingerprint": "sha256:a9759da311a2a59001b79e4317cafa9861ce701fe972b1bedd72a52c384baf12", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005833", "prompt": "Calculate: (-8 - 3 / 9) / 16", "solution_steps": ["Divide: 3 / 9 = 1/3", "Subtract: -8 - 1/3 = -25/3", "Divide: (-25/3) / 16 = -25/48"], "final_answer": "-25/48", "answer_type": "rational", "kind": "expression", "math_text": "(-8 - 3 / 9) / 16", "variable": null, "family": "expression_3op", "shape": "(/ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"c\": 9, \"d\": 16}", "seed": "6283616375997794181", "semantic_fingerprint": "sha256:755dd1ea95f6a8daf09430e05f2477369326c34cb4c8309f6ba696d45099ea36", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005834", "prompt": "What is -12 + (-56) - (-5 + 46)?", "solution_steps": ["Add: -12 + (-56) = -68", "Add: -5 + 46 = 41", "Subtract: -68 - 41 = -109"], "final_answer": "-109", "answer_type": "integer", "kind": "expression", "math_text": "-12 + (-56) - (-5 + 46)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -56, \"c\": -5, \"d\": 46}", "seed": "10724912863840800556", "semantic_fingerprint": "sha256:d3bdfe6378f7090e851e53b4e9d3346e62d45d366350c838a10c0b18c3dee604", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005835", "prompt": "What is 7 + (315 - (-281) + (-41) / 7 / 36)?", "solution_steps": ["Subtract: 315 - (-281) = 596", "Divide: -41 / 7 = -41/7", "Divide: (-41/7) / 36 = -41/252", "Add: 596 + (-41/252) = 150151/252", "Add: 7 + 150151/252 = 151915/252"], "final_answer": "151915/252", "answer_type": "rational", "kind": "expression", "math_text": "7 + (315 - (-281) + (-41) / 7 / 36)", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (- n n) (/ (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 315, \"c\": -281, \"d\": -41, \"e\": 7, \"f\": 36}", "seed": "9388151583825049878", "semantic_fingerprint": "sha256:e77ce7c73dda290db5a96fc93884c989a1dc2cdca6cf9a033b4feb614dd6740b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005836", "prompt": "Compute: 98 + (-37) * (-6) + 9 / (-2)", "solution_steps": ["Multiply: -37 * (-6) = 222", "Add: 98 + 222 = 320", "Divide: 9 / (-2) = -9/2", "Add: 320 + (-9/2) = 631/2"], "final_answer": "631/2", "answer_type": "rational", "kind": "expression", "math_text": "98 + (-37) * (-6) + 9 / (-2)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": -37, \"c\": -6, \"d\": 9, \"e\": -2}", "seed": "15485875530179689641", "semantic_fingerprint": "sha256:7d921ed32d9fe51a079377a8754b699a5892570d709840477631f0240729e9c9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005837", "prompt": "Calculate: -4 + (-47) - (-1 + (-49))", "solution_steps": ["Add: -4 + (-47) = -51", "Add: -1 + (-49) = -50", "Subtract: -51 - (-50) = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (-47) - (-1 + (-49))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -47, \"c\": -1, \"d\": -49}", "seed": "4016953265402150972", "semantic_fingerprint": "sha256:08ad469068d6f86c475d094bb072884e9870aa65e4d375eb5bb9967ce7178424", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005838", "prompt": "Solve the equation 3(x - 5) = -9x - 15 for x.", "solution_steps": ["Expand: 3x - 15 = -9x - 15", "Add 9x to both sides: 12x - 15 = -15", "Add 15 to both sides: 12x = 0", "Divide both sides by 12: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 5) = -9x - 15", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": -9, \"e\": -15, \"x\": 0}", "seed": "13525518164260681100", "semantic_fingerprint": "sha256:8f93767f4f4da910c80401f7ef46aef18f852dc5de5f3d547ccd63c10ca3727f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005839", "prompt": "Calculate: 0 + 799 / (-12 - (-904))", "solution_steps": ["Subtract: -12 - (-904) = 892", "Divide: 799 / 892 = 799/892", "Add: 0 + 799/892 = 799/892"], "final_answer": "799/892", "answer_type": "rational", "kind": "expression", "math_text": "0 + 799 / (-12 - (-904))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 799, \"c\": -12, \"d\": -904}", "seed": "15204480721015588338", "semantic_fingerprint": "sha256:fa279366e043546db049e5617a67817cb5b7678f132a5c9c86f63acda1d706c3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005840", "prompt": "Find x: 11(x + 7) - 99 = x - 12", "solution_steps": ["Expand: 11x + 77 - 99 = x - 12", "Combine constants: 11x - 22 = x - 12", "Subtract x from both sides: 10x - 22 = -12", "Add 22 to both sides: 10x = 10", "Divide both sides by 10: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 7) - 99 = x - 12", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": 99, \"e\": -12, \"x\": 1}", "seed": "17304476196882236382", "semantic_fingerprint": "sha256:064d0a86bc5decbfd402260eff7ed624868b735cb71bee243f9ac58dad7f7783", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005841", "prompt": "What is 69 + (-7) - (2 * 55 + 15 / 8)?", "solution_steps": ["Add: 69 + (-7) = 62", "Multiply: 2 * 55 = 110", "Divide: 15 / 8 = 15/8", "Add: 110 + 15/8 = 895/8", "Subtract: 62 - 895/8 = -399/8"], "final_answer": "-399/8", "answer_type": "rational", "kind": "expression", "math_text": "69 + (-7) - (2 * 55 + 15 / 8)", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (+ (* n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": -7, \"c\": 2, \"d\": 55, \"e\": 15, \"f\": 8}", "seed": "15586487227900323433", "semantic_fingerprint": "sha256:b174de162b4216d4421f11fd72fd06c083ddfef52268620533da552cdf0884ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005842", "prompt": "Compute: (67 - (-4 - 923 / 14)) * 248", "solution_steps": ["Divide: 923 / 14 = 923/14", "Subtract: -4 - 923/14 = -979/14", "Subtract: 67 - (-979/14) = 1917/14", "Multiply: (1917/14) * 248 = 237708/7"], "final_answer": "237708/7", "answer_type": "rational", "kind": "expression", "math_text": "(67 - (-4 - 923 / 14)) * 248", "variable": null, "family": "expression_4op", "shape": "(* (- n (- n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -4, \"c\": 923, \"d\": 14, \"e\": 248}", "seed": "7929697862558553307", "semantic_fingerprint": "sha256:68602758292a14895a67144e3bfb813d397adf5731e52cb637c54826c22efa1a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005843", "prompt": "What value of x satisfies 12(x - 2) = 3x - 159?", "solution_steps": ["Expand: 12x - 24 = 3x - 159", "Subtract 3x from both sides: 9x - 24 = -159", "Add 24 to both sides: 9x = -135", "Divide both sides by 9: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 2) = 3x - 159", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 3, \"e\": -159, \"x\": -15}", "seed": "16281000776833039465", "semantic_fingerprint": "sha256:d6a127ea23054d087f7f64dbe14f7285f7b933efc4644a2571850c1d5b6a53af", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005844", "prompt": "Evaluate: -96 * (344 * (-671) / (-66 * (7 * (-43))))", "solution_steps": ["Multiply: 344 * (-671) = -230824", "Multiply: 7 * (-43) = -301", "Multiply: -66 * (-301) = 19866", "Divide: -230824 / 19866 = -244/21", "Multiply: -96 * (-244/21) = 7808/7"], "final_answer": "7808/7", "answer_type": "rational", "kind": "expression", "math_text": "-96 * (344 * (-671) / (-66 * (7 * (-43))))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (* n n) (* n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": 344, \"c\": -671, \"d\": -66, \"e\": 7, \"f\": -43}", "seed": "10509286360703142386", "semantic_fingerprint": "sha256:e8e8f2cf059b040ee13640d36cc0050c742248f915b8a185f531d0d37caad1de", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005845", "prompt": "Solve the equation -3(x - 54) - 168 = -8(x - 8) for x.", "solution_steps": ["Expand: -3x + 162 - 168 = -8(x - 8)", "Expand: -3x + 162 - 168 = -8x + 64", "Combine constants: -3x - 6 = -8x + 64", "Add 8x to both sides: 5x - 6 = 64", "Add 6 to both sides: 5x = 70", "Divide both sides by 5: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 54) - 168 = -8(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 54, \"c\": -8, \"d\": 8, \"f\": -168, \"x\": 14}", "seed": "15987832323051293533", "semantic_fingerprint": "sha256:b5ecc532b4a488e89592396a7fd8291bd0c9377d1c52548bbabbf3e82cfcad48", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005846", "prompt": "Solve the equation -6(x - 88) - 867 = 9(x - 6) for x.", "solution_steps": ["Expand: -6x + 528 - 867 = 9(x - 6)", "Expand: -6x + 528 - 867 = 9x - 54", "Combine constants: -6x - 339 = 9x - 54", "Subtract 9x from both sides: -15x - 339 = -54", "Add 339 to both sides: -15x = 285", "Divide both sides by -15: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 88) - 867 = 9(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 88, \"c\": 9, \"d\": 6, \"f\": -867, \"x\": -19}", "seed": "12447092696311412938", "semantic_fingerprint": "sha256:e820bd1fcf57b63a56d48c5ce49740c39dd5e9a983a9bdf27d5dfe6a6290a135", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005847", "prompt": "Calculate: (51 - (-7)) * (-35 / 720)", "solution_steps": ["Subtract: 51 - (-7) = 58", "Divide: -35 / 720 = -7/144", "Multiply: 58 * (-7/144) = -203/72"], "final_answer": "-203/72", "answer_type": "rational", "kind": "expression", "math_text": "(51 - (-7)) * (-35 / 720)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -7, \"c\": -35, \"d\": 720}", "seed": "3040394302345449123", "semantic_fingerprint": "sha256:72ebb5ef148ba41564371effb09d58c0e4e081bbe61f43ad9fdf26537335dbc9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005848", "prompt": "What value of x satisfies x - 7 = 3(x - 7) + 32?", "solution_steps": ["Expand: x - 7 = 3x - 21 + 32", "Combine constants: x - 7 = 3x + 11", "Subtract 3x from both sides: -2x - 7 = 11", "Add 7 to both sides: -2x = 18", "Divide both sides by -2: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7 = 3(x - 7) + 32", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"c\": 7, \"e\": 32, \"x\": -9}", "seed": "6381355402932189726", "semantic_fingerprint": "sha256:a62628222f13e0c230d9d1f5eb7b4ea17db8fe3abb5872b59b91f7ba386e52d4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005849", "prompt": "Compute: 97 * (-983) + (-3 * (-38) + (-147))", "solution_steps": ["Multiply: 97 * (-983) = -95351", "Multiply: -3 * (-38) = 114", "Add: 114 + (-147) = -33", "Add: -95351 + (-33) = -95384"], "final_answer": "-95384", "answer_type": "integer", "kind": "expression", "math_text": "97 * (-983) + (-3 * (-38) + (-147))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": -983, \"c\": -3, \"d\": -38, \"e\": -147}", "seed": "6013077991776326101", "semantic_fingerprint": "sha256:eaf2fcfae54da8731b519c290f52fdb470dce5fa38de4984d9e930f4de7f1113", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005850", "prompt": "Calculate: -68 * (-39) + (76 + (-685)) * (6 + 5)", "solution_steps": ["Multiply: -68 * (-39) = 2652", "Add: 76 + (-685) = -609", "Add: 6 + 5 = 11", "Multiply: -609 * 11 = -6699", "Add: 2652 + (-6699) = -4047"], "final_answer": "-4047", "answer_type": "integer", "kind": "expression", "math_text": "-68 * (-39) + (76 + (-685)) * (6 + 5)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (* (+ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -39, \"c\": 76, \"d\": -685, \"e\": 6, \"f\": 5}", "seed": "16114676978684013881", "semantic_fingerprint": "sha256:4ba58f24931664b430a5eadf0bd1e401c85fcc9777e8ccf8b17130da09f6806b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005851", "prompt": "Compute: -374 * (-43) + (-2) * (-25 - (-95))", "solution_steps": ["Multiply: -374 * (-43) = 16082", "Subtract: -25 - (-95) = 70", "Multiply: -2 * 70 = -140", "Add: 16082 + (-140) = 15942"], "final_answer": "15942", "answer_type": "integer", "kind": "expression", "math_text": "-374 * (-43) + (-2) * (-25 - (-95))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -374, \"b\": -43, \"c\": -2, \"d\": -25, \"e\": -95}", "seed": "13659733405365510685", "semantic_fingerprint": "sha256:3c7d0b0a98d0d2feebcd8d2e49d5e55d4752ffc83690cd8c73cac14e08aaeaf1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005852", "prompt": "Evaluate: -404 + (4 + 0) + 807 * (-799)", "solution_steps": ["Add: 4 + 0 = 4", "Add: -404 + 4 = -400", "Multiply: 807 * (-799) = -644793", "Add: -400 + (-644793) = -645193"], "final_answer": "-645193", "answer_type": "integer", "kind": "expression", "math_text": "-404 + (4 + 0) + 807 * (-799)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -404, \"b\": 4, \"c\": 0, \"d\": 807, \"e\": -799}", "seed": "9040791217506760613", "semantic_fingerprint": "sha256:bc71e4c6348e42f40bbfb0696d79011266bcd25b20ead356906ef6ccc3f65043", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005853", "prompt": "Compute: 66 + (-6 + 983) - 15", "solution_steps": ["Add: -6 + 983 = 977", "Add: 66 + 977 = 1043", "Subtract: 1043 - 15 = 1028"], "final_answer": "1028", "answer_type": "integer", "kind": "expression", "math_text": "66 + (-6 + 983) - 15", "variable": null, "family": "expression_3op", "shape": "(- (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -6, \"c\": 983, \"d\": 15}", "seed": "1835485770267747063", "semantic_fingerprint": "sha256:3f9516e2b6c25133aad8b6ed3a45aa7f22ff4ef4fde8e3242d1411b84c219a09", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005854", "prompt": "What is -229 - (81 - (788 - 7))?", "solution_steps": ["Subtract: 788 - 7 = 781", "Subtract: 81 - 781 = -700", "Subtract: -229 - (-700) = 471"], "final_answer": "471", "answer_type": "integer", "kind": "expression", "math_text": "-229 - (81 - (788 - 7))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -229, \"b\": 81, \"c\": 788, \"d\": 7}", "seed": "13197257901560570748", "semantic_fingerprint": "sha256:43091465434dc416371a8982aae10377728304b04e8fa352e1d132eae6ca17bd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005855", "prompt": "What value of x satisfies 8(x - 7) = 2x - 32?", "solution_steps": ["Expand: 8x - 56 = 2x - 32", "Subtract 2x from both sides: 6x - 56 = -32", "Add 56 to both sides: 6x = 24", "Divide both sides by 6: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 7) = 2x - 32", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 2, \"e\": -32, \"x\": 4}", "seed": "11580223205998773481", "semantic_fingerprint": "sha256:dfeb1804a5cdafaa76063869be66d2b5acb0151faf0714e415e4930191980838", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005856", "prompt": "What is 9 + 90 - 5 * (-314) - (-6 + 7)?", "solution_steps": ["Add: 9 + 90 = 99", "Multiply: 5 * (-314) = -1570", "Subtract: 99 - (-1570) = 1669", "Add: -6 + 7 = 1", "Subtract: 1669 - 1 = 1668"], "final_answer": "1668", "answer_type": "integer", "kind": "expression", "math_text": "9 + 90 - 5 * (-314) - (-6 + 7)", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n n) (* n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 90, \"c\": 5, \"d\": -314, \"e\": -6, \"f\": 7}", "seed": "4872349709199026537", "semantic_fingerprint": "sha256:560e73a48e9155b8f00bf153de6b70c519b580f54f3411558649fbbf96dea9d4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005857", "prompt": "What value of x satisfies -9(x + 71) + 32 = 10(x + 2) - 380?", "solution_steps": ["Expand: -9x - 639 + 32 = 10(x + 2) - 380", "Expand: -9x - 639 + 32 = 10x + 20 - 380", "Combine constants: -9x - 607 = 10x + 20 - 380", "Combine constants: -9x - 607 = 10x - 360", "Subtract 10x from both sides: -19x - 607 = -360", "Add 607 to both sides: -19x = 247", "Divide both sides by -19: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 71) + 32 = 10(x + 2) - 380", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 71, \"c\": 32, \"d\": 10, \"e\": 2, \"g\": -380, \"x\": -13}", "seed": "13069509327418724749", "semantic_fingerprint": "sha256:d07e2c280c250593694f5995cdafa8f324065f7563737ba64efc38b1895caf6a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005858", "prompt": "What is (-51 + 84) * ((33 + (-515) / 88) * (-74))?", "solution_steps": ["Add: -51 + 84 = 33", "Divide: -515 / 88 = -515/88", "Add: 33 + (-515/88) = 2389/88", "Multiply: (2389/88) * (-74) = -88393/44", "Multiply: 33 * (-88393/44) = -265179/4"], "final_answer": "-265179/4", "answer_type": "rational", "kind": "expression", "math_text": "(-51 + 84) * ((33 + (-515) / 88) * (-74))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (* (+ n (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 84, \"c\": 33, \"d\": -515, \"e\": 88, \"f\": -74}", "seed": "17791365638628389572", "semantic_fingerprint": "sha256:90e0caab6e5e75a5ee3c736427830f319958cb844a4356d904be328d52e436b3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005859", "prompt": "What is -1 * (-2 - 51 + (-42))?", "solution_steps": ["Subtract: -2 - 51 = -53", "Add: -53 + (-42) = -95", "Multiply: -1 * (-95) = 95"], "final_answer": "95", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-2 - 51 + (-42))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -2, \"c\": 51, \"d\": -42}", "seed": "7791209516870411859", "semantic_fingerprint": "sha256:12a311f8d4fcef9560d13d2a90cc4b2ca7db1251bc2634270ee37c494325ada3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005860", "prompt": "Solve for x: 2(x - 58) = -3x - 3", "solution_steps": ["Expand: 2x - 116 = -3x - 3", "Add 3x to both sides: 5x - 116 = -3", "Add 116 to both sides: 5x = 113", "Divide both sides by 5: x = 113/5"], "final_answer": "113/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 58) = -3x - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 58, \"c\": -3, \"d\": 3}", "seed": "6313885864973283211", "semantic_fingerprint": "sha256:843ebc5033e73d2af0c3055e9b979836bc1111b30d9514a05393cac898e5c1a4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005861", "prompt": "Calculate: 48 + 1 - (-50) + (-48) / (0 + 236)", "solution_steps": ["Add: 48 + 1 = 49", "Subtract: 49 - (-50) = 99", "Add: 0 + 236 = 236", "Divide: -48 / 236 = -12/59", "Add: 99 + (-12/59) = 5829/59"], "final_answer": "5829/59", "answer_type": "rational", "kind": "expression", "math_text": "48 + 1 - (-50) + (-48) / (0 + 236)", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n n) n) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 1, \"c\": -50, \"d\": -48, \"e\": 0, \"f\": 236}", "seed": "5237267304741820444", "semantic_fingerprint": "sha256:e5b1289d126d1c43c3c1c8a9d723d1d3bcb8430b27b0910b4893f4c9a2268b88", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005862", "prompt": "Find x: x - 3 = 9(x - 76) + 665", "solution_steps": ["Expand: x - 3 = 9x - 684 + 665", "Combine constants: x - 3 = 9x - 19", "Subtract 9x from both sides: -8x - 3 = -19", "Add 3 to both sides: -8x = -16", "Divide both sides by -8: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3 = 9(x - 76) + 665", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 76, \"e\": 665, \"x\": 2}", "seed": "12733474288346378683", "semantic_fingerprint": "sha256:e2728d678193b2004e422d1f46cc1e4bb2beb68d8af8573b4cf6f4da31629fa7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005863", "prompt": "Solve the equation 8(x - 48) + 204 = 10(x + 9) - 18 for x.", "solution_steps": ["Expand: 8x - 384 + 204 = 10(x + 9) - 18", "Expand: 8x - 384 + 204 = 10x + 90 - 18", "Combine constants: 8x - 180 = 10x + 90 - 18", "Combine constants: 8x - 180 = 10x + 72", "Subtract 10x from both sides: -2x - 180 = 72", "Add 180 to both sides: -2x = 252", "Divide both sides by -2: x = -126"], "final_answer": "-126", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 48) + 204 = 10(x + 9) - 18", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 48, \"c\": 204, \"d\": 10, \"e\": 9, \"f\": 18}", "seed": "7922558474525097347", "semantic_fingerprint": "sha256:7210fdacd4b767fe85c52f5d2fac6f4dea30cae4a6365870555aa756fca5d29a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005864", "prompt": "Calculate: 4 / (-2 + (-487) + (19 - (-597)))", "solution_steps": ["Add: -2 + (-487) = -489", "Subtract: 19 - (-597) = 616", "Add: -489 + 616 = 127", "Divide: 4 / 127 = 4/127"], "final_answer": "4/127", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-2 + (-487) + (19 - (-597)))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (+ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -2, \"c\": -487, \"d\": 19, \"e\": -597}", "seed": "8227735869395816266", "semantic_fingerprint": "sha256:be2016a5604b7079ef8b1e83a32de3daa14d7e0996a581efd762c0a52eb0ec80", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005865", "prompt": "Solve for x: x - 81 = 6(x - 109) + 593", "solution_steps": ["Expand: x - 81 = 6x - 654 + 593", "Combine constants: x - 81 = 6x - 61", "Subtract 6x from both sides: -5x - 81 = -61", "Add 81 to both sides: -5x = 20", "Divide both sides by -5: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 81 = 6(x - 109) + 593", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 6, \"c\": 109, \"e\": 593, \"x\": -4}", "seed": "16908219108537005824", "semantic_fingerprint": "sha256:d3afb6a4ee4c89294afec8bf5eec65fd213e4d2b5d984e2bc72d25514f48d81b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005866", "prompt": "What is ((-9 + (-10)) / (-5) - 17) / (-31) + 2?", "solution_steps": ["Add: -9 + (-10) = -19", "Divide: -19 / (-5) = 19/5", "Subtract: 19/5 - 17 = -66/5", "Divide: (-66/5) / (-31) = 66/155", "Add: 66/155 + 2 = 376/155"], "final_answer": "376/155", "answer_type": "rational", "kind": "expression", "math_text": "((-9 + (-10)) / (-5) - 17) / (-31) + 2", "variable": null, "family": "expression_5op", "shape": "(+ (/ (- (/ (+ n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -10, \"c\": -5, \"d\": 17, \"e\": -31, \"f\": 2}", "seed": "13425685881703402910", "semantic_fingerprint": "sha256:9c3b0b4d54aebbb31e76af8e8a0c1713f14c42811d87374f535b3afbf98a1108", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005867", "prompt": "Compute: 0 - (-80) / (-7 * (-733) + (-209) * 39)", "solution_steps": ["Multiply: -7 * (-733) = 5131", "Multiply: -209 * 39 = -8151", "Add: 5131 + (-8151) = -3020", "Divide: -80 / (-3020) = 4/151", "Subtract: 0 - 4/151 = -4/151"], "final_answer": "-4/151", "answer_type": "rational", "kind": "expression", "math_text": "0 - (-80) / (-7 * (-733) + (-209) * 39)", "variable": null, "family": "expression_5op", "shape": "(- n (/ n (+ (* n n) (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -80, \"c\": -7, \"d\": -733, \"e\": -209, \"f\": 39}", "seed": "9182268960542427259", "semantic_fingerprint": "sha256:d328503caafcd9c2ef5fc9eb75115ba2490f7af7df30f9588f8960a7d344fbfe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005868", "prompt": "Solve for x: 12(x - 84) + 36 = 8(x - 3)", "solution_steps": ["Expand: 12x - 1008 + 36 = 8(x - 3)", "Expand: 12x - 1008 + 36 = 8x - 24", "Combine constants: 12x - 972 = 8x - 24", "Subtract 8x from both sides: 4x - 972 = -24", "Add 972 to both sides: 4x = 948", "Divide both sides by 4: x = 237"], "final_answer": "237", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 84) + 36 = 8(x - 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 84, \"c\": 36, \"d\": 8, \"e\": 3}", "seed": "10678995650822086031", "semantic_fingerprint": "sha256:3b921fb1c9a9fa9ec7bcb30a19a05642273c036530a967bfd977cb09100a76da", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005869", "prompt": "What value of x satisfies -7(x - 40) + 662 = 4x + 832?", "solution_steps": ["Expand: -7x + 280 + 662 = 4x + 832", "Combine constants: -7x + 942 = 4x + 832", "Subtract 4x from both sides: -11x + 942 = 832", "Subtract 942 from both sides: -11x = -110", "Divide both sides by -11: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 40) + 662 = 4x + 832", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 40, \"c\": 662, \"d\": 4, \"f\": 832, \"x\": 10}", "seed": "8817766737045949418", "semantic_fingerprint": "sha256:1c8461044a91d8e5dfd64ed4d765060dae4ba4af24cf65fa3105e3858c18e661", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005870", "prompt": "Calculate: 36 * (-8 - 67 + 0)", "solution_steps": ["Subtract: -8 - 67 = -75", "Add: -75 + 0 = -75", "Multiply: 36 * (-75) = -2700"], "final_answer": "-2700", "answer_type": "integer", "kind": "expression", "math_text": "36 * (-8 - 67 + 0)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": -8, \"c\": 67, \"d\": 0}", "seed": "9930777833368677450", "semantic_fingerprint": "sha256:59161025946de89f708ddb443075336f5bd28b8124e3ac49bf04372f271d9821", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005871", "prompt": "What value of x satisfies x - 2 = 4(x - 8) + 3?", "solution_steps": ["Expand: x - 2 = 4x - 32 + 3", "Combine constants: x - 2 = 4x - 29", "Subtract 4x from both sides: -3x - 2 = -29", "Add 2 to both sides: -3x = -27", "Divide both sides by -3: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2 = 4(x - 8) + 3", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": 8, \"e\": 3, \"x\": 9}", "seed": "1017712556676383906", "semantic_fingerprint": "sha256:50e1c8f95e90ed2b58ac1baa3351357c6bca43c8b24f2145dad45d6e30e8a83e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005872", "prompt": "Compute: (-91 * (-8) + (-23)) * (-986)", "solution_steps": ["Multiply: -91 * (-8) = 728", "Add: 728 + (-23) = 705", "Multiply: 705 * (-986) = -695130"], "final_answer": "-695130", "answer_type": "integer", "kind": "expression", "math_text": "(-91 * (-8) + (-23)) * (-986)", "variable": null, "family": "expression_3op", "shape": "(* (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -8, \"c\": -23, \"d\": -986}", "seed": "9958140704284902318", "semantic_fingerprint": "sha256:3c610dd019068fe4e4abcef9645319e916187dfab438a61acb08856da1ea0e0b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005873", "prompt": "Compute: 40 / 521 + 585 / (-8)", "solution_steps": ["Divide: 40 / 521 = 40/521", "Divide: 585 / (-8) = -585/8", "Add: 40/521 + (-585/8) = -304465/4168"], "final_answer": "-304465/4168", "answer_type": "rational", "kind": "expression", "math_text": "40 / 521 + 585 / (-8)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": 521, \"c\": 585, \"d\": -8}", "seed": "12647758950671805318", "semantic_fingerprint": "sha256:5e4e55f4f68ef5a0df45f64898402406736a30169fab185da99d4bfbc6d9f290", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005874", "prompt": "Compute: (-319 - 98) * (4 / (-16))", "solution_steps": ["Subtract: -319 - 98 = -417", "Divide: 4 / (-16) = -1/4", "Multiply: -417 * (-1/4) = 417/4"], "final_answer": "417/4", "answer_type": "rational", "kind": "expression", "math_text": "(-319 - 98) * (4 / (-16))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -319, \"b\": 98, \"c\": 4, \"d\": -16}", "seed": "11990063599008648349", "semantic_fingerprint": "sha256:1ca22a3fb7ba4d5e3c42f4c9e9d8314912e3b9e6b5053c91743432442c789632", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005875", "prompt": "What is 311 / 5 / (-43) - 424 + 920?", "solution_steps": ["Divide: 311 / 5 = 311/5", "Divide: (311/5) / (-43) = -311/215", "Subtract: -311/215 - 424 = -91471/215", "Add: -91471/215 + 920 = 106329/215"], "final_answer": "106329/215", "answer_type": "rational", "kind": "expression", "math_text": "311 / 5 / (-43) - 424 + 920", "variable": null, "family": "expression_4op", "shape": "(+ (- (/ (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 311, \"b\": 5, \"c\": -43, \"d\": 424, \"e\": 920}", "seed": "5239460233147065230", "semantic_fingerprint": "sha256:a2099e77fae07c6a5b30cf401c28f09d606129d4f4f595aecd807b7d5c7ff7ab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005876", "prompt": "Solve for x: -7(x - 263) + 579 = -3(x - 1)", "solution_steps": ["Expand: -7x + 1841 + 579 = -3(x - 1)", "Expand: -7x + 1841 + 579 = -3x + 3", "Combine constants: -7x + 2420 = -3x + 3", "Add 3x to both sides: -4x + 2420 = 3", "Subtract 2420 from both sides: -4x = -2417", "Divide both sides by -4: x = 2417/4"], "final_answer": "2417/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x - 263) + 579 = -3(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 263, \"c\": 579, \"d\": -3, \"e\": 1}", "seed": "8042708103048862486", "semantic_fingerprint": "sha256:087e705847a851db48eaaa2a8d44a0aa9ec2a832daeefba1fef50afa45f33456", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005877", "prompt": "Compute: -4 * (-1 + 9) + (61 - 14 * 1)", "solution_steps": ["Add: -1 + 9 = 8", "Multiply: -4 * 8 = -32", "Multiply: 14 * 1 = 14", "Subtract: 61 - 14 = 47", "Add: -32 + 47 = 15"], "final_answer": "15", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (-1 + 9) + (61 - 14 * 1)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ n n)) (- n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -1, \"c\": 9, \"d\": 61, \"e\": 14, \"f\": 1}", "seed": "12939882341034915584", "semantic_fingerprint": "sha256:2df1d74807bb5f1b274c9053e4f37cf3c85d59c06ac461f4becffe0cb98f8704", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005878", "prompt": "Calculate: (-16 + 9 + 9 * (-30)) * 56", "solution_steps": ["Add: -16 + 9 = -7", "Multiply: 9 * (-30) = -270", "Add: -7 + (-270) = -277", "Multiply: -277 * 56 = -15512"], "final_answer": "-15512", "answer_type": "integer", "kind": "expression", "math_text": "(-16 + 9 + 9 * (-30)) * 56", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": 9, \"c\": 9, \"d\": -30, \"e\": 56}", "seed": "13762441116577555448", "semantic_fingerprint": "sha256:e2f936b3ace68cb2e10ae2371e01fea5a4d742c78bb47a7f781fbee9ff291157", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005879", "prompt": "Find x: -12(x - 3) = 6x - 90", "solution_steps": ["Expand: -12x + 36 = 6x - 90", "Subtract 6x from both sides: -18x + 36 = -90", "Subtract 36 from both sides: -18x = -126", "Divide both sides by -18: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 3) = 6x - 90", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 3, \"c\": 6, \"e\": -90, \"x\": 7}", "seed": "8648083002337713382", "semantic_fingerprint": "sha256:50f9d0fd70bedccf1df31bf4573babdf813faa471f74aea864ea9ced9628cb49", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005880", "prompt": "Solve for x: -8(x + 36) - 89 = x - 440", "solution_steps": ["Expand: -8x - 288 - 89 = x - 440", "Combine constants: -8x - 377 = x - 440", "Subtract x from both sides: -9x - 377 = -440", "Add 377 to both sides: -9x = -63", "Divide both sides by -9: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 36) - 89 = x - 440", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 36, \"c\": 89, \"e\": -440, \"x\": 7}", "seed": "3211963270455800487", "semantic_fingerprint": "sha256:64b6e26338507e6e6549398ba8790a0ac6b1146018ce04e07ce2bddf8aa77535", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005881", "prompt": "Solve the equation 10(x + 6) - 727 = x - 631 for x.", "solution_steps": ["Expand: 10x + 60 - 727 = x - 631", "Combine constants: 10x - 667 = x - 631", "Subtract x from both sides: 9x - 667 = -631", "Add 667 to both sides: 9x = 36", "Divide both sides by 9: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 6) - 727 = x - 631", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": 727, \"e\": -631, \"x\": 4}", "seed": "15569706674192336816", "semantic_fingerprint": "sha256:78b08d602d08e9a89572a961fe7a628405ca5976e26f55046ea7e3b6b0e61ab9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005882", "prompt": "Calculate: (161 + (-80)) / (-6 / (-73))", "solution_steps": ["Add: 161 + (-80) = 81", "Divide: -6 / (-73) = 6/73", "Divide: 81 / (6/73) = 1971/2"], "final_answer": "1971/2", "answer_type": "rational", "kind": "expression", "math_text": "(161 + (-80)) / (-6 / (-73))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 161, \"b\": -80, \"c\": -6, \"d\": -73}", "seed": "1864995048141949856", "semantic_fingerprint": "sha256:44e5b958afd55e964abe2227fc44546c171dfdda9c0f9d7f3740ca5c66807c92", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005883", "prompt": "Find x: 3(x - 983) - 566 = 8(x - 501) - 88", "solution_steps": ["Expand: 3x - 2949 - 566 = 8(x - 501) - 88", "Expand: 3x - 2949 - 566 = 8x - 4008 - 88", "Combine constants: 3x - 3515 = 8x - 4008 - 88", "Combine constants: 3x - 3515 = 8x - 4096", "Subtract 8x from both sides: -5x - 3515 = -4096", "Add 3515 to both sides: -5x = -581", "Divide both sides by -5: x = 581/5"], "final_answer": "581/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 983) - 566 = 8(x - 501) - 88", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 983, \"c\": 566, \"d\": 8, \"e\": 501, \"f\": 88}", "seed": "2166624750052958824", "semantic_fingerprint": "sha256:5560527e230cc3c2c606f2c76b7248308beb06f949d7a4ddbdb50971476e8622", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005884", "prompt": "Evaluate: (3 - (-4)) * (-9 / (-46))", "solution_steps": ["Subtract: 3 - (-4) = 7", "Divide: -9 / (-46) = 9/46", "Multiply: 7 * (9/46) = 63/46"], "final_answer": "63/46", "answer_type": "rational", "kind": "expression", "math_text": "(3 - (-4)) * (-9 / (-46))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -4, \"c\": -9, \"d\": -46}", "seed": "7489637275535809303", "semantic_fingerprint": "sha256:15b02889e093c1ce95c6124f40746ac018ab9d92a44910edfb549696a3243e92", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005885", "prompt": "Evaluate: 0 - (-484) - 29 * (-93) / (40 - 735)", "solution_steps": ["Subtract: 0 - (-484) = 484", "Multiply: 29 * (-93) = -2697", "Subtract: 40 - 735 = -695", "Divide: -2697 / (-695) = 2697/695", "Subtract: 484 - 2697/695 = 333683/695"], "final_answer": "333683/695", "answer_type": "rational", "kind": "expression", "math_text": "0 - (-484) - 29 * (-93) / (40 - 735)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (/ (* n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -484, \"c\": 29, \"d\": -93, \"e\": 40, \"f\": 735}", "seed": "15939955769809655157", "semantic_fingerprint": "sha256:ab40b486370d5d7fa1ccc4262039f427c72c56ff4261a8e633dba36bb7a1e1b2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005886", "prompt": "What value of x satisfies -4(x - 14) + 94 = 10x + 39?", "solution_steps": ["Expand: -4x + 56 + 94 = 10x + 39", "Combine constants: -4x + 150 = 10x + 39", "Subtract 10x from both sides: -14x + 150 = 39", "Subtract 150 from both sides: -14x = -111", "Divide both sides by -14: x = 111/14"], "final_answer": "111/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 14) + 94 = 10x + 39", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 14, \"c\": 94, \"d\": 10, \"e\": 39}", "seed": "15854438306544372624", "semantic_fingerprint": "sha256:4db053f28fda74c0bb79325589ba3ad752b4f01f096bb788ae837eddaeee0dac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005887", "prompt": "Compute: 9 + 71 - 2 / 9 + 750", "solution_steps": ["Add: 9 + 71 = 80", "Divide: 2 / 9 = 2/9", "Subtract: 80 - 2/9 = 718/9", "Add: 718/9 + 750 = 7468/9"], "final_answer": "7468/9", "answer_type": "rational", "kind": "expression", "math_text": "9 + 71 - 2 / 9 + 750", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 71, \"c\": 2, \"d\": 9, \"e\": 750}", "seed": "9802741117677831868", "semantic_fingerprint": "sha256:4f458e5b690392066430b95ffb06f36fe80a707ac4abd5640a0e8ea7259ef4bb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005888", "prompt": "Compute: 563 / (-1) - 4 + (2 + 0) / (-224)", "solution_steps": ["Divide: 563 / (-1) = -563", "Subtract: -563 - 4 = -567", "Add: 2 + 0 = 2", "Divide: 2 / (-224) = -1/112", "Add: -567 + (-1/112) = -63505/112"], "final_answer": "-63505/112", "answer_type": "rational", "kind": "expression", "math_text": "563 / (-1) - 4 + (2 + 0) / (-224)", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n n) n) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 563, \"b\": -1, \"c\": 4, \"d\": 2, \"e\": 0, \"f\": -224}", "seed": "11868067363874835096", "semantic_fingerprint": "sha256:15c092965eb86c82333e2e609d48e2ba9af81087409c5f35e43520c372813f8a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005889", "prompt": "Find x: 3(x - 88) = -11x - 250", "solution_steps": ["Expand: 3x - 264 = -11x - 250", "Add 11x to both sides: 14x - 264 = -250", "Add 264 to both sides: 14x = 14", "Divide both sides by 14: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 88) = -11x - 250", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 88, \"c\": -11, \"e\": -250, \"x\": 1}", "seed": "12268428439283841848", "semantic_fingerprint": "sha256:eaa93f2ad1fbe07beec9547e525ddf23dcfe97beb4bab5b021b112e9034af39a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005890", "prompt": "Evaluate: 850 * (0 / 6 / (-555))", "solution_steps": ["Divide: 0 / 6 = 0", "Divide: 0 / (-555) = 0", "Multiply: 850 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "850 * (0 / 6 / (-555))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 850, \"b\": 0, \"c\": 6, \"d\": -555}", "seed": "10805475306940876076", "semantic_fingerprint": "sha256:cfc8a8a8e07736149e129c7c55b7485a8a0f73ed4bcda1b88bc208ec12ee0efd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005891", "prompt": "Solve for x: x - 64 = 4(x - 45) + 559", "solution_steps": ["Expand: x - 64 = 4x - 180 + 559", "Combine constants: x - 64 = 4x + 379", "Subtract 4x from both sides: -3x - 64 = 379", "Add 64 to both sides: -3x = 443", "Divide both sides by -3: x = -443/3"], "final_answer": "-443/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 64 = 4(x - 45) + 559", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": 4, \"c\": 45, \"d\": 559}", "seed": "6078309159949170436", "semantic_fingerprint": "sha256:0729633f1ebd6debaa867826ae1a706c1d5b066bcc2b89209b0bb74e84755bfe", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005892", "prompt": "What value of x satisfies -8x - 7 = -2(x + 66) + 107?", "solution_steps": ["Expand: -8x - 7 = -2x - 132 + 107", "Combine constants: -8x - 7 = -2x - 25", "Add 2x to both sides: -6x - 7 = -25", "Add 7 to both sides: -6x = -18", "Divide both sides by -6: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 7 = -2(x + 66) + 107", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 7, \"c\": -2, \"d\": 66, \"f\": 107, \"x\": 3}", "seed": "3832942707631379420", "semantic_fingerprint": "sha256:746325b902e8869902fd86c43c00e685040de2d274c7767a33221054e6460e95", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005893", "prompt": "Evaluate: (56 * 6 - 168) / (-88 / (-3))", "solution_steps": ["Multiply: 56 * 6 = 336", "Subtract: 336 - 168 = 168", "Divide: -88 / (-3) = 88/3", "Divide: 168 / (88/3) = 63/11"], "final_answer": "63/11", "answer_type": "rational", "kind": "expression", "math_text": "(56 * 6 - 168) / (-88 / (-3))", "variable": null, "family": "expression_4op", "shape": "(/ (- (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 6, \"c\": 168, \"d\": -88, \"e\": -3}", "seed": "16715141462938348983", "semantic_fingerprint": "sha256:6cb5f0b40400f660a28912e4bc634da502f719b01e0dc8787fafb6c79c3a9572", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005894", "prompt": "Compute: 6 / (-323) - (-449) - 488", "solution_steps": ["Divide: 6 / (-323) = -6/323", "Subtract: -6/323 - (-449) = 145021/323", "Subtract: 145021/323 - 488 = -12603/323"], "final_answer": "-12603/323", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-323) - (-449) - 488", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -323, \"c\": -449, \"d\": 488}", "seed": "17704199152892695643", "semantic_fingerprint": "sha256:ac91b5be054c64b5ad7b21e04b493f4ace13a8c4995239390de748395667a807", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005895", "prompt": "Compute: (-587 - (-8) + 5) * 6", "solution_steps": ["Subtract: -587 - (-8) = -579", "Add: -579 + 5 = -574", "Multiply: -574 * 6 = -3444"], "final_answer": "-3444", "answer_type": "integer", "kind": "expression", "math_text": "(-587 - (-8) + 5) * 6", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -587, \"b\": -8, \"c\": 5, \"d\": 6}", "seed": "7004374371009659505", "semantic_fingerprint": "sha256:084da8c30ebb530413fb835e4258bba3dfdebf941f0f171c903629cb3db0b3ba", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005896", "prompt": "What is (0 - 26) * (-333 * (-5))?", "solution_steps": ["Subtract: 0 - 26 = -26", "Multiply: -333 * (-5) = 1665", "Multiply: -26 * 1665 = -43290"], "final_answer": "-43290", "answer_type": "integer", "kind": "expression", "math_text": "(0 - 26) * (-333 * (-5))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 26, \"c\": -333, \"d\": -5}", "seed": "5618124772324204002", "semantic_fingerprint": "sha256:07f4ee35534b596ce2a622b89e8de6ad6e2e650d93b98a998a98430ba28e9ae8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005897", "prompt": "Solve for x: 6(x + 29) + 3 = 9(x + 43) - 228", "solution_steps": ["Expand: 6x + 174 + 3 = 9(x + 43) - 228", "Expand: 6x + 174 + 3 = 9x + 387 - 228", "Combine constants: 6x + 177 = 9x + 387 - 228", "Combine constants: 6x + 177 = 9x + 159", "Subtract 9x from both sides: -3x + 177 = 159", "Subtract 177 from both sides: -3x = -18", "Divide both sides by -3: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 29) + 3 = 9(x + 43) - 228", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 29, \"c\": 3, \"d\": 9, \"e\": 43, \"g\": -228, \"x\": 6}", "seed": "10836899937960158935", "semantic_fingerprint": "sha256:b34f76cb1ccacea5e5f48240b3dde7915cc4ec619cef2e9080bc0ed199bce1d4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005898", "prompt": "Find x: 2(x - 2) + 89 = 4x + 93", "solution_steps": ["Expand: 2x - 4 + 89 = 4x + 93", "Combine constants: 2x + 85 = 4x + 93", "Subtract 4x from both sides: -2x + 85 = 93", "Subtract 85 from both sides: -2x = 8", "Divide both sides by -2: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 2) + 89 = 4x + 93", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 89, \"d\": 4, \"f\": 93, \"x\": -4}", "seed": "18131061815742483318", "semantic_fingerprint": "sha256:c620accb939351eb25392af05925aaeabbc447e191e6296116bd5e4e549fdb7a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005899", "prompt": "Calculate: -951 / (1 / (-16) - (-594) - (-1) * 0)", "solution_steps": ["Divide: 1 / (-16) = -1/16", "Subtract: -1/16 - (-594) = 9503/16", "Multiply: -1 * 0 = 0", "Subtract: 9503/16 - 0 = 9503/16", "Divide: -951 / (9503/16) = -15216/9503"], "final_answer": "-15216/9503", "answer_type": "rational", "kind": "expression", "math_text": "-951 / (1 / (-16) - (-594) - (-1) * 0)", "variable": null, "family": "expression_5op", "shape": "(/ n (- (- (/ n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -951, \"b\": 1, \"c\": -16, \"d\": -594, \"e\": -1, \"f\": 0}", "seed": "2124604976786290016", "semantic_fingerprint": "sha256:fa165a6b5090c770cdbeedd96290509d679f12e9f3d5348d816603cc737eb316", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005900", "prompt": "What is 410 * ((-24 - 2) / (960 - (-944))) * 4?", "solution_steps": ["Subtract: -24 - 2 = -26", "Subtract: 960 - (-944) = 1904", "Divide: -26 / 1904 = -13/952", "Multiply: 410 * (-13/952) = -2665/476", "Multiply: (-2665/476) * 4 = -2665/119"], "final_answer": "-2665/119", "answer_type": "rational", "kind": "expression", "math_text": "410 * ((-24 - 2) / (960 - (-944))) * 4", "variable": null, "family": "expression_5op", "shape": "(* (* n (/ (- n n) (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 410, \"b\": -24, \"c\": 2, \"d\": 960, \"e\": -944, \"f\": 4}", "seed": "13544312987005102001", "semantic_fingerprint": "sha256:c2151e9489322d5ea30c675d30118db2c78c8ccfac4b0ba7403197afd4950026", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005901", "prompt": "What value of x satisfies -4(x - 3) - 301 = 5(x - 38)?", "solution_steps": ["Expand: -4x + 12 - 301 = 5(x - 38)", "Expand: -4x + 12 - 301 = 5x - 190", "Combine constants: -4x - 289 = 5x - 190", "Subtract 5x from both sides: -9x - 289 = -190", "Add 289 to both sides: -9x = 99", "Divide both sides by -9: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 3) - 301 = 5(x - 38)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": 5, \"d\": 38, \"f\": -301, \"x\": -11}", "seed": "12070627835659312703", "semantic_fingerprint": "sha256:c59ee5d7d064ec0ef5e4933747ea62e1b0be870961f13bd196a0c33348935be7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005902", "prompt": "Solve for x: 2(x - 9) = 7x - 23", "solution_steps": ["Expand: 2x - 18 = 7x - 23", "Subtract 7x from both sides: -5x - 18 = -23", "Add 18 to both sides: -5x = -5", "Divide both sides by -5: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 9) = 7x - 23", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 7, \"e\": -23, \"x\": 1}", "seed": "2131544595387404560", "semantic_fingerprint": "sha256:bcf05cfd1a6379c457f52c8715ffc3fec54df0a0ab9abcbaee7c9a03cbc5e510", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005903", "prompt": "What value of x satisfies -7(x - 17) + 605 = -10(x - 70)?", "solution_steps": ["Expand: -7x + 119 + 605 = -10(x - 70)", "Expand: -7x + 119 + 605 = -10x + 700", "Combine constants: -7x + 724 = -10x + 700", "Add 10x to both sides: 3x + 724 = 700", "Subtract 724 from both sides: 3x = -24", "Divide both sides by 3: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 17) + 605 = -10(x - 70)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 17, \"c\": -10, \"d\": 70, \"f\": 605, \"x\": -8}", "seed": "536953179001166463", "semantic_fingerprint": "sha256:73960dc60c0e847e7797ab25930003ac74fd558d75c527261616bd1ebc417979", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005904", "prompt": "Solve for x: 8(x - 7) + 492 = -2x + 9", "solution_steps": ["Expand: 8x - 56 + 492 = -2x + 9", "Combine constants: 8x + 436 = -2x + 9", "Add 2x to both sides: 10x + 436 = 9", "Subtract 436 from both sides: 10x = -427", "Divide both sides by 10: x = -427/10"], "final_answer": "-427/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 7) + 492 = -2x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 492, \"d\": -2, \"e\": 9}", "seed": "2108491482965830684", "semantic_fingerprint": "sha256:feb8c713da7a3721f07f7a45e1042de43572c6d4fca16a49ee1230aa83e66ddd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005905", "prompt": "Calculate: (-77 - (-76) - (-894)) * (8 / 97) * (-8)", "solution_steps": ["Subtract: -77 - (-76) = -1", "Subtract: -1 - (-894) = 893", "Divide: 8 / 97 = 8/97", "Multiply: 893 * (8/97) = 7144/97", "Multiply: (7144/97) * (-8) = -57152/97"], "final_answer": "-57152/97", "answer_type": "rational", "kind": "expression", "math_text": "(-77 - (-76) - (-894)) * (8 / 97) * (-8)", "variable": null, "family": "expression_5op", "shape": "(* (* (- (- n n) n) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": -76, \"c\": -894, \"d\": 8, \"e\": 97, \"f\": -8}", "seed": "12867341351589718889", "semantic_fingerprint": "sha256:1edb118a2864cf35f9d0b63cdb4cdb5f2074edaaec3d4850dd22d5c3775139db", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005906", "prompt": "What value of x satisfies 6(x - 6) + 102 = 10(x - 1)?", "solution_steps": ["Expand: 6x - 36 + 102 = 10(x - 1)", "Expand: 6x - 36 + 102 = 10x - 10", "Combine constants: 6x + 66 = 10x - 10", "Subtract 10x from both sides: -4x + 66 = -10", "Subtract 66 from both sides: -4x = -76", "Divide both sides by -4: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 6) + 102 = 10(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 10, \"d\": 1, \"f\": 102, \"x\": 19}", "seed": "4545920995008475665", "semantic_fingerprint": "sha256:00dbbd60fea2ca93644c6e07a7491947a7cb1a8d6d78ba701daf2f55ee52ed5d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005907", "prompt": "Calculate: -60 / (-22 + 21 - 722 / (-5))", "solution_steps": ["Add: -22 + 21 = -1", "Divide: 722 / (-5) = -722/5", "Subtract: -1 - (-722/5) = 717/5", "Divide: -60 / (717/5) = -100/239"], "final_answer": "-100/239", "answer_type": "rational", "kind": "expression", "math_text": "-60 / (-22 + 21 - 722 / (-5))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (+ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": -22, \"c\": 21, \"d\": 722, \"e\": -5}", "seed": "13225076632115504514", "semantic_fingerprint": "sha256:d20d0143e598064783e40584806e26565e6f7c3fbe42d09a1b49fdd84f6fc5a7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005908", "prompt": "Compute: -24 - (-41) / (-90 * (-77))", "solution_steps": ["Multiply: -90 * (-77) = 6930", "Divide: -41 / 6930 = -41/6930", "Subtract: -24 - (-41/6930) = -166279/6930"], "final_answer": "-166279/6930", "answer_type": "rational", "kind": "expression", "math_text": "-24 - (-41) / (-90 * (-77))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": -41, \"c\": -90, \"d\": -77}", "seed": "5258838844477139873", "semantic_fingerprint": "sha256:a162a638dc629b6a4e9070990963a70f17fbf8b48dceb59cd80938cca53cf045", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005909", "prompt": "Evaluate: 97 / (1 - 5 + (-582))", "solution_steps": ["Subtract: 1 - 5 = -4", "Add: -4 + (-582) = -586", "Divide: 97 / (-586) = -97/586"], "final_answer": "-97/586", "answer_type": "rational", "kind": "expression", "math_text": "97 / (1 - 5 + (-582))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": 1, \"c\": 5, \"d\": -582}", "seed": "6047979867708774682", "semantic_fingerprint": "sha256:45f2f1bb9541ee51716192f581e85e9bd1bc3e1a22bfe6b48983e5806af17aac", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005910", "prompt": "Compute: 93 - (-6 - (-85 - 88))", "solution_steps": ["Subtract: -85 - 88 = -173", "Subtract: -6 - (-173) = 167", "Subtract: 93 - 167 = -74"], "final_answer": "-74", "answer_type": "integer", "kind": "expression", "math_text": "93 - (-6 - (-85 - 88))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": -6, \"c\": -85, \"d\": 88}", "seed": "7579174227341705541", "semantic_fingerprint": "sha256:af68289c78abeec58ee2f80abe6f511b5deca84b263a256779311871d56c088c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005911", "prompt": "Solve the equation 3(x - 96) + 449 = 2x + 142 for x.", "solution_steps": ["Expand: 3x - 288 + 449 = 2x + 142", "Combine constants: 3x + 161 = 2x + 142", "Subtract 2x from both sides: x + 161 = 142", "Subtract 161 from both sides: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 96) + 449 = 2x + 142", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 96, \"c\": 449, \"d\": 2, \"f\": 142, \"x\": -19}", "seed": "1013197916309196870", "semantic_fingerprint": "sha256:fdc3bb24d4c694fd492e0e49a7c141cab388254988a7f17bfd5b2ab1c0c3345d", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005912", "prompt": "Solve the equation 4(x - 3) + 76 = 7x + 109 for x.", "solution_steps": ["Expand: 4x - 12 + 76 = 7x + 109", "Combine constants: 4x + 64 = 7x + 109", "Subtract 7x from both sides: -3x + 64 = 109", "Subtract 64 from both sides: -3x = 45", "Divide both sides by -3: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 3) + 76 = 7x + 109", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 3, \"c\": 76, \"d\": 7, \"f\": 109, \"x\": -15}", "seed": "10852807940819426963", "semantic_fingerprint": "sha256:5572e9412af203274510605f9aba1ba91b7ce0fd50c7a252f37881bbe9c737ec", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005913", "prompt": "Calculate: 7 / (-3 + (-57) - (-41) / 9)", "solution_steps": ["Add: -3 + (-57) = -60", "Divide: -41 / 9 = -41/9", "Subtract: -60 - (-41/9) = -499/9", "Divide: 7 / (-499/9) = -63/499"], "final_answer": "-63/499", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-3 + (-57) - (-41) / 9)", "variable": null, "family": "expression_4op", "shape": "(/ n (- (+ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -3, \"c\": -57, \"d\": -41, \"e\": 9}", "seed": "2435845153911062786", "semantic_fingerprint": "sha256:f9c64cf873cf923b833f7ac453091c79754d7d677b66678b819bbd44cf3738e6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005914", "prompt": "Calculate: 6 - 54 / 74 * (-220) * (7 * 9)", "solution_steps": ["Divide: 54 / 74 = 27/37", "Multiply: (27/37) * (-220) = -5940/37", "Multiply: 7 * 9 = 63", "Multiply: (-5940/37) * 63 = -374220/37", "Subtract: 6 - (-374220/37) = 374442/37"], "final_answer": "374442/37", "answer_type": "rational", "kind": "expression", "math_text": "6 - 54 / 74 * (-220) * (7 * 9)", "variable": null, "family": "expression_5op", "shape": "(- n (* (* (/ n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 54, \"c\": 74, \"d\": -220, \"e\": 7, \"f\": 9}", "seed": "13626871452563508381", "semantic_fingerprint": "sha256:0f26352d4cea869081c0bb4c66c02fb4560c48ffc713aa0d8cd62c334f813a7b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005915", "prompt": "Calculate: (-915 - 2) * (4 * (-4))", "solution_steps": ["Subtract: -915 - 2 = -917", "Multiply: 4 * (-4) = -16", "Multiply: -917 * (-16) = 14672"], "final_answer": "14672", "answer_type": "integer", "kind": "expression", "math_text": "(-915 - 2) * (4 * (-4))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -915, \"b\": 2, \"c\": 4, \"d\": -4}", "seed": "13979099270092117148", "semantic_fingerprint": "sha256:ca6aee9b8489066a33733fa4626eb945644f40817c381ef340f9d201fbb63a11", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005916", "prompt": "Find x: 9(x - 9) + 36 = 12(x + 3) - 8", "solution_steps": ["Expand: 9x - 81 + 36 = 12(x + 3) - 8", "Expand: 9x - 81 + 36 = 12x + 36 - 8", "Combine constants: 9x - 45 = 12x + 36 - 8", "Combine constants: 9x - 45 = 12x + 28", "Subtract 12x from both sides: -3x - 45 = 28", "Add 45 to both sides: -3x = 73", "Divide both sides by -3: x = -73/3"], "final_answer": "-73/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 9) + 36 = 12(x + 3) - 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 36, \"d\": 12, \"e\": 3, \"f\": 8}", "seed": "6395389605657740023", "semantic_fingerprint": "sha256:ad480e87f62b1b5976890a27f634cd2c8e16257f9a5df1b9e579e41b751f0e58", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005917", "prompt": "Compute: 6 / (-538 + 307) / (-1 / (-96))", "solution_steps": ["Add: -538 + 307 = -231", "Divide: 6 / (-231) = -2/77", "Divide: -1 / (-96) = 1/96", "Divide: (-2/77) / (1/96) = -192/77"], "final_answer": "-192/77", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-538 + 307) / (-1 / (-96))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -538, \"c\": 307, \"d\": -1, \"e\": -96}", "seed": "17420080913099525966", "semantic_fingerprint": "sha256:5ab65c818f78707166046bcecccb6edde59c1f51d83e955c75ff60ef96320a67", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005918", "prompt": "Solve for x: 12(x - 7) + 621 = -9(x - 34)", "solution_steps": ["Expand: 12x - 84 + 621 = -9(x - 34)", "Expand: 12x - 84 + 621 = -9x + 306", "Combine constants: 12x + 537 = -9x + 306", "Add 9x to both sides: 21x + 537 = 306", "Subtract 537 from both sides: 21x = -231", "Divide both sides by 21: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 7) + 621 = -9(x - 34)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"c\": -9, \"d\": 34, \"f\": 621, \"x\": -11}", "seed": "4717296298702159546", "semantic_fingerprint": "sha256:baebbadebf9604368884bfaeae9f4a34fc7a07be9530a4eff3004e2e4ea76733", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005919", "prompt": "What value of x satisfies 8(x - 87) + 6 = 6(x - 45)?", "solution_steps": ["Expand: 8x - 696 + 6 = 6(x - 45)", "Expand: 8x - 696 + 6 = 6x - 270", "Combine constants: 8x - 690 = 6x - 270", "Subtract 6x from both sides: 2x - 690 = -270", "Add 690 to both sides: 2x = 420", "Divide both sides by 2: x = 210"], "final_answer": "210", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 87) + 6 = 6(x - 45)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 87, \"c\": 6, \"d\": 6, \"e\": 45}", "seed": "14793747383271559351", "semantic_fingerprint": "sha256:5e64edd67798ccad45378842aa67f971f0e8287535f0cf09af93fd30e47fb1bc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005920", "prompt": "Evaluate: (-8 - 506) * (9 / (-9))", "solution_steps": ["Subtract: -8 - 506 = -514", "Divide: 9 / (-9) = -1", "Multiply: -514 * (-1) = 514"], "final_answer": "514", "answer_type": "integer", "kind": "expression", "math_text": "(-8 - 506) * (9 / (-9))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 506, \"c\": 9, \"d\": -9}", "seed": "3699489983277088694", "semantic_fingerprint": "sha256:174b564004b3ebf76d7b9f6dd28313d1c9543b361c7e61596274d4f6e6942a34", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005921", "prompt": "Find x: x - 934 = 6(x - 55) + 3", "solution_steps": ["Expand: x - 934 = 6x - 330 + 3", "Combine constants: x - 934 = 6x - 327", "Subtract 6x from both sides: -5x - 934 = -327", "Add 934 to both sides: -5x = 607", "Divide both sides by -5: x = -607/5"], "final_answer": "-607/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 934 = 6(x - 55) + 3", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 934, \"b\": 6, \"c\": 55, \"d\": 3}", "seed": "16073511023648286647", "semantic_fingerprint": "sha256:f6b3daab2ae0a4b04b98c9c0a0994784d8064d4289bd41f9c503644d1ce87109", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005922", "prompt": "Solve for x: 6(x - 6) + 4 = -12x + 7", "solution_steps": ["Expand: 6x - 36 + 4 = -12x + 7", "Combine constants: 6x - 32 = -12x + 7", "Add 12x to both sides: 18x - 32 = 7", "Add 32 to both sides: 18x = 39", "Divide both sides by 18: x = 13/6"], "final_answer": "13/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 6) + 4 = -12x + 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 4, \"d\": -12, \"e\": 7}", "seed": "15346051089969115607", "semantic_fingerprint": "sha256:66189d3461c98a2d09ddc39434d3c0b076782c812bca3bcd40b964497a3cf4ed", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005923", "prompt": "Evaluate: -30 * (-74 + 3 * (-18 - 965))", "solution_steps": ["Subtract: -18 - 965 = -983", "Multiply: 3 * (-983) = -2949", "Add: -74 + (-2949) = -3023", "Multiply: -30 * (-3023) = 90690"], "final_answer": "90690", "answer_type": "integer", "kind": "expression", "math_text": "-30 * (-74 + 3 * (-18 - 965))", "variable": null, "family": "expression_4op", "shape": "(* n (+ n (* n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": -74, \"c\": 3, \"d\": -18, \"e\": 965}", "seed": "10490758249741037394", "semantic_fingerprint": "sha256:d14e5693d86c54e7d9f06206f8e93cb2be84d90d680543dfb26cc0cb49a11c8c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005924", "prompt": "Solve the equation 8(x - 76) + 314 = -2(x - 91) for x.", "solution_steps": ["Expand: 8x - 608 + 314 = -2(x - 91)", "Expand: 8x - 608 + 314 = -2x + 182", "Combine constants: 8x - 294 = -2x + 182", "Add 2x to both sides: 10x - 294 = 182", "Add 294 to both sides: 10x = 476", "Divide both sides by 10: x = 238/5"], "final_answer": "238/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 76) + 314 = -2(x - 91)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 76, \"c\": 314, \"d\": -2, \"e\": 91}", "seed": "2124090192915626888", "semantic_fingerprint": "sha256:6bd6ca42c08b799cd6cd773a3cfd84efef2457063aeffa03cb57a1262bdf4159", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005925", "prompt": "Calculate: -410 * (-5 - 8 + 342)", "solution_steps": ["Subtract: -5 - 8 = -13", "Add: -13 + 342 = 329", "Multiply: -410 * 329 = -134890"], "final_answer": "-134890", "answer_type": "integer", "kind": "expression", "math_text": "-410 * (-5 - 8 + 342)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -410, \"b\": -5, \"c\": 8, \"d\": 342}", "seed": "10987305354729973123", "semantic_fingerprint": "sha256:7f7b47ef9bbc4d537a91bea201f8a23c253a3af9a658e3f34173d4130cfdd2b7", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005926", "prompt": "Evaluate: -419 * 13 + (36 / 86 - 4)", "solution_steps": ["Multiply: -419 * 13 = -5447", "Divide: 36 / 86 = 18/43", "Subtract: 18/43 - 4 = -154/43", "Add: -5447 + (-154/43) = -234375/43"], "final_answer": "-234375/43", "answer_type": "rational", "kind": "expression", "math_text": "-419 * 13 + (36 / 86 - 4)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -419, \"b\": 13, \"c\": 36, \"d\": 86, \"e\": 4}", "seed": "10866479411677354372", "semantic_fingerprint": "sha256:98d23ff6cf574045bc719543e13e9b0daab8d2d2186f156cbabaec6cd3dfbffb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005927", "prompt": "Calculate: 30 - (-804 + (-18 - (-49)))", "solution_steps": ["Subtract: -18 - (-49) = 31", "Add: -804 + 31 = -773", "Subtract: 30 - (-773) = 803"], "final_answer": "803", "answer_type": "integer", "kind": "expression", "math_text": "30 - (-804 + (-18 - (-49)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": -804, \"c\": -18, \"d\": -49}", "seed": "12041477624235441689", "semantic_fingerprint": "sha256:7ff12c0c78546ab56fe483298419a170c6eef89ff8d18881819e20fef12245e8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005928", "prompt": "Find x: -9(x - 8) = 6x - 63", "solution_steps": ["Expand: -9x + 72 = 6x - 63", "Subtract 6x from both sides: -15x + 72 = -63", "Subtract 72 from both sides: -15x = -135", "Divide both sides by -15: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 8) = 6x - 63", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 8, \"c\": 6, \"e\": -63, \"x\": 9}", "seed": "14763496336172512501", "semantic_fingerprint": "sha256:e9b1d0e350efbbd6a329335450cf2f90cb3f0c36e1236b9d0042cb401e8720f4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005929", "prompt": "Find x: 9(x - 3) - 528 = 7(x - 54) - 189", "solution_steps": ["Expand: 9x - 27 - 528 = 7(x - 54) - 189", "Expand: 9x - 27 - 528 = 7x - 378 - 189", "Combine constants: 9x - 555 = 7x - 378 - 189", "Combine constants: 9x - 555 = 7x - 567", "Subtract 7x from both sides: 2x - 555 = -567", "Add 555 to both sides: 2x = -12", "Divide both sides by 2: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 3) - 528 = 7(x - 54) - 189", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 528, \"d\": 7, \"e\": 54, \"g\": -189, \"x\": -6}", "seed": "6484563686030661996", "semantic_fingerprint": "sha256:0600570a1ccfac9a011688238044d5f9e96550927b6bb5d65e2598898d129a35", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005930", "prompt": "Solve for x: 11(x - 9) + 6 = -7x + 33", "solution_steps": ["Expand: 11x - 99 + 6 = -7x + 33", "Combine constants: 11x - 93 = -7x + 33", "Add 7x to both sides: 18x - 93 = 33", "Add 93 to both sides: 18x = 126", "Divide both sides by 18: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 9) + 6 = -7x + 33", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9, \"c\": 6, \"d\": -7, \"f\": 33, \"x\": 7}", "seed": "5138187591026473959", "semantic_fingerprint": "sha256:074ef1fb6f3622829490049f7758dd96291ee03ad9cd3c7f66f48486f2c95b80", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005931", "prompt": "What is -2 + (-75) + (61 - (-8)) * 210?", "solution_steps": ["Add: -2 + (-75) = -77", "Subtract: 61 - (-8) = 69", "Multiply: 69 * 210 = 14490", "Add: -77 + 14490 = 14413"], "final_answer": "14413", "answer_type": "integer", "kind": "expression", "math_text": "-2 + (-75) + (61 - (-8)) * 210", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -75, \"c\": 61, \"d\": -8, \"e\": 210}", "seed": "14222807137932302520", "semantic_fingerprint": "sha256:c0bdb664bff1493ec5cad19d33bd3fcc652ab8c237fb76a460326af84583add2", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005932", "prompt": "Calculate: -9 + (-6) * (-179) + (-122 - (-95)) / 47", "solution_steps": ["Multiply: -6 * (-179) = 1074", "Add: -9 + 1074 = 1065", "Subtract: -122 - (-95) = -27", "Divide: -27 / 47 = -27/47", "Add: 1065 + (-27/47) = 50028/47"], "final_answer": "50028/47", "answer_type": "rational", "kind": "expression", "math_text": "-9 + (-6) * (-179) + (-122 - (-95)) / 47", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (* n n)) (/ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -6, \"c\": -179, \"d\": -122, \"e\": -95, \"f\": 47}", "seed": "8613469041807229480", "semantic_fingerprint": "sha256:d18effa15d49d2b42ef5ac2a1e5215d52b527ce05985d2a2487ebb41e54627d8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005933", "prompt": "Calculate: (4 - (-71)) * (7 / 3)", "solution_steps": ["Subtract: 4 - (-71) = 75", "Divide: 7 / 3 = 7/3", "Multiply: 75 * (7/3) = 175"], "final_answer": "175", "answer_type": "integer", "kind": "expression", "math_text": "(4 - (-71)) * (7 / 3)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -71, \"c\": 7, \"d\": 3}", "seed": "3140167929513827317", "semantic_fingerprint": "sha256:ea9e8b9d3ead89a5cf1faa69082d037c9d32c58863d8d3c053705b5906b5d33e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005934", "prompt": "Solve for x: 10(x - 969) + 1 = 2(x - 43)", "solution_steps": ["Expand: 10x - 9690 + 1 = 2(x - 43)", "Expand: 10x - 9690 + 1 = 2x - 86", "Combine constants: 10x - 9689 = 2x - 86", "Subtract 2x from both sides: 8x - 9689 = -86", "Add 9689 to both sides: 8x = 9603", "Divide both sides by 8: x = 9603/8"], "final_answer": "9603/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 969) + 1 = 2(x - 43)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 969, \"c\": 1, \"d\": 2, \"e\": 43}", "seed": "11065873477150310831", "semantic_fingerprint": "sha256:5a2dea273295739979162b1602b27be830a35a485100ff1f32caac5052ff2971", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005935", "prompt": "Solve the equation 7(x - 4) - 5 = 10(x - 8) for x.", "solution_steps": ["Expand: 7x - 28 - 5 = 10(x - 8)", "Expand: 7x - 28 - 5 = 10x - 80", "Combine constants: 7x - 33 = 10x - 80", "Subtract 10x from both sides: -3x - 33 = -80", "Add 33 to both sides: -3x = -47", "Divide both sides by -3: x = 47/3"], "final_answer": "47/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 4) - 5 = 10(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 5, \"d\": 10, \"e\": 8}", "seed": "11005177335278395933", "semantic_fingerprint": "sha256:611236d4f8441d30b3cabe9a7f40fc032da9bb21ccf32e261b9a1810d4733f7b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005936", "prompt": "Calculate: -24 - (-547) * (-31) - (-156)", "solution_steps": ["Multiply: -547 * (-31) = 16957", "Subtract: -24 - 16957 = -16981", "Subtract: -16981 - (-156) = -16825"], "final_answer": "-16825", "answer_type": "integer", "kind": "expression", "math_text": "-24 - (-547) * (-31) - (-156)", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": -547, \"c\": -31, \"d\": -156}", "seed": "12975355770090953605", "semantic_fingerprint": "sha256:a63b52ad3a38df758361017525491c251d639b98424f068a8a213af31b35a88e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005937", "prompt": "Compute: (-9 - 89) / (882 * 2)", "solution_steps": ["Subtract: -9 - 89 = -98", "Multiply: 882 * 2 = 1764", "Divide: -98 / 1764 = -1/18"], "final_answer": "-1/18", "answer_type": "rational", "kind": "expression", "math_text": "(-9 - 89) / (882 * 2)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 89, \"c\": 882, \"d\": 2}", "seed": "6782438841406620908", "semantic_fingerprint": "sha256:2428f9164a81f63b98b95edfd3f9c3e7ace970d8afb00681f080c97decc74724", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005938", "prompt": "Compute: 53 + 36 - (-97) + 1", "solution_steps": ["Add: 53 + 36 = 89", "Subtract: 89 - (-97) = 186", "Add: 186 + 1 = 187"], "final_answer": "187", "answer_type": "integer", "kind": "expression", "math_text": "53 + 36 - (-97) + 1", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": 36, \"c\": -97, \"d\": 1}", "seed": "13040063514985117079", "semantic_fingerprint": "sha256:2446c16f510a0270045f313d688790e7989480fde0935a58a50794ee1e1c088b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005939", "prompt": "Compute: (4 + (-6) + (-3)) * (-847)", "solution_steps": ["Add: 4 + (-6) = -2", "Add: -2 + (-3) = -5", "Multiply: -5 * (-847) = 4235"], "final_answer": "4235", "answer_type": "integer", "kind": "expression", "math_text": "(4 + (-6) + (-3)) * (-847)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -6, \"c\": -3, \"d\": -847}", "seed": "9882898717537755266", "semantic_fingerprint": "sha256:877539c958783aa2e20e1a32fbee57475dc91a823f098f1ef73ff44d692b94d4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005940", "prompt": "Compute: 7 * (-710) / (21 + (-9))", "solution_steps": ["Multiply: 7 * (-710) = -4970", "Add: 21 + (-9) = 12", "Divide: -4970 / 12 = -2485/6"], "final_answer": "-2485/6", "answer_type": "rational", "kind": "expression", "math_text": "7 * (-710) / (21 + (-9))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -710, \"c\": 21, \"d\": -9}", "seed": "12709621360413803497", "semantic_fingerprint": "sha256:a4e53dcaefc4e0fe0962aa27a74384759567e186d6e1424d2cdd9da02140c1bb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005941", "prompt": "Calculate: (39 - (-8)) * (-36) - (-19) + 303", "solution_steps": ["Subtract: 39 - (-8) = 47", "Multiply: 47 * (-36) = -1692", "Subtract: -1692 - (-19) = -1673", "Add: -1673 + 303 = -1370"], "final_answer": "-1370", "answer_type": "integer", "kind": "expression", "math_text": "(39 - (-8)) * (-36) - (-19) + 303", "variable": null, "family": "expression_4op", "shape": "(+ (- (* (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": -8, \"c\": -36, \"d\": -19, \"e\": 303}", "seed": "12077587761495273019", "semantic_fingerprint": "sha256:1513122ffdaa3ea7ff420ddde03b9491425b3fd9debd58ee3d833a14f1b55b83", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005942", "prompt": "Evaluate: -7 * (-5) / (-6 + 85) * 97", "solution_steps": ["Multiply: -7 * (-5) = 35", "Add: -6 + 85 = 79", "Divide: 35 / 79 = 35/79", "Multiply: (35/79) * 97 = 3395/79"], "final_answer": "3395/79", "answer_type": "rational", "kind": "expression", "math_text": "-7 * (-5) / (-6 + 85) * 97", "variable": null, "family": "expression_4op", "shape": "(* (/ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -5, \"c\": -6, \"d\": 85, \"e\": 97}", "seed": "2528213642168341901", "semantic_fingerprint": "sha256:99da017e6da98f6b889b1cba341bb69d8e2a2bd109bdf58d3687ba9c688975d1", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005943", "prompt": "Compute: (18 - (3 - 18)) / (-787 + 74)", "solution_steps": ["Subtract: 3 - 18 = -15", "Subtract: 18 - (-15) = 33", "Add: -787 + 74 = -713", "Divide: 33 / (-713) = -33/713"], "final_answer": "-33/713", "answer_type": "rational", "kind": "expression", "math_text": "(18 - (3 - 18)) / (-787 + 74)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 3, \"c\": 18, \"d\": -787, \"e\": 74}", "seed": "7899006190896479814", "semantic_fingerprint": "sha256:8b17788d1385dabc7eeed8e38db92cb3a74c35ad6f9199e64bf4723518e7b8cd", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005944", "prompt": "Calculate: (100 - (-48)) / (-8 * 14)", "solution_steps": ["Subtract: 100 - (-48) = 148", "Multiply: -8 * 14 = -112", "Divide: 148 / (-112) = -37/28"], "final_answer": "-37/28", "answer_type": "rational", "kind": "expression", "math_text": "(100 - (-48)) / (-8 * 14)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 100, \"b\": -48, \"c\": -8, \"d\": 14}", "seed": "5886943796779512687", "semantic_fingerprint": "sha256:9478a15e74286444b5306585e37a117828205a1621a96a7c590b27f5c4909dcb", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005945", "prompt": "Solve the equation 6(x - 9) + 64 = -12(x + 545) - 19 for x.", "solution_steps": ["Expand: 6x - 54 + 64 = -12(x + 545) - 19", "Expand: 6x - 54 + 64 = -12x - 6540 - 19", "Combine constants: 6x + 10 = -12x - 6540 - 19", "Combine constants: 6x + 10 = -12x - 6559", "Add 12x to both sides: 18x + 10 = -6559", "Subtract 10 from both sides: 18x = -6569", "Divide both sides by 18: x = -6569/18"], "final_answer": "-6569/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 9) + 64 = -12(x + 545) - 19", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 64, \"d\": -12, \"e\": 545, \"f\": 19}", "seed": "15002627514493270516", "semantic_fingerprint": "sha256:603a02e713c780e8f430ec7a878265d5eaafbe581cfe1fd1d0b06d8475cb6189", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005946", "prompt": "Calculate: (62 - (-693)) * (-2 / (-608))", "solution_steps": ["Subtract: 62 - (-693) = 755", "Divide: -2 / (-608) = 1/304", "Multiply: 755 * (1/304) = 755/304"], "final_answer": "755/304", "answer_type": "rational", "kind": "expression", "math_text": "(62 - (-693)) * (-2 / (-608))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -693, \"c\": -2, \"d\": -608}", "seed": "13039837569744480517", "semantic_fingerprint": "sha256:6f9c05a259d112422032334421fd9287c96da5ffab0ad8f46a54c31aa570ce5c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005947", "prompt": "Solve the equation 6(x - 828) = 12x - 53 for x.", "solution_steps": ["Expand: 6x - 4968 = 12x - 53", "Subtract 12x from both sides: -6x - 4968 = -53", "Add 4968 to both sides: -6x = 4915", "Divide both sides by -6: x = -4915/6"], "final_answer": "-4915/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 828) = 12x - 53", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 828, \"c\": 12, \"d\": 53}", "seed": "15561986090072569420", "semantic_fingerprint": "sha256:eed71a65b797c1af26d08046d9acf47d0f3e20a8515c83a740fb81db8aee7071", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005948", "prompt": "Solve the equation -6(x - 4) + 373 = -5x + 2 for x.", "solution_steps": ["Expand: -6x + 24 + 373 = -5x + 2", "Combine constants: -6x + 397 = -5x + 2", "Add 5x to both sides: -x + 397 = 2", "Subtract 397 from both sides: -x = -395", "Divide both sides by -1: x = 395"], "final_answer": "395", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 4) + 373 = -5x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4, \"c\": 373, \"d\": -5, \"e\": 2}", "seed": "10861168239140032147", "semantic_fingerprint": "sha256:729b58c06d72d5950b9aa5e6a03ea60623cbaa1ac4174ee02f8296fcd7077353", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005949", "prompt": "Solve the equation 6(x + 81) - 77 = x - 7 for x.", "solution_steps": ["Expand: 6x + 486 - 77 = x - 7", "Combine constants: 6x + 409 = x - 7", "Subtract x from both sides: 5x + 409 = -7", "Subtract 409 from both sides: 5x = -416", "Divide both sides by 5: x = -416/5"], "final_answer": "-416/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 81) - 77 = x - 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 81, \"c\": 77, \"d\": 7}", "seed": "11871436445745970388", "semantic_fingerprint": "sha256:40d779ccf7e42328238629ae7343e7e96cc07f0bb44c2063835e048b4116d509", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005950", "prompt": "Solve for x: 4(x - 78) + 381 = 2x + 99", "solution_steps": ["Expand: 4x - 312 + 381 = 2x + 99", "Combine constants: 4x + 69 = 2x + 99", "Subtract 2x from both sides: 2x + 69 = 99", "Subtract 69 from both sides: 2x = 30", "Divide both sides by 2: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 78) + 381 = 2x + 99", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 78, \"c\": 381, \"d\": 2, \"f\": 99, \"x\": 15}", "seed": "8885549587804429765", "semantic_fingerprint": "sha256:4344a13e457150757fcbe2eb702826cc35a183ca7e4a4c8e9f22dee9f75c6cd6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005951", "prompt": "Evaluate: 70 - (-7) / (40 * (-13))", "solution_steps": ["Multiply: 40 * (-13) = -520", "Divide: -7 / (-520) = 7/520", "Subtract: 70 - 7/520 = 36393/520"], "final_answer": "36393/520", "answer_type": "rational", "kind": "expression", "math_text": "70 - (-7) / (40 * (-13))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -7, \"c\": 40, \"d\": -13}", "seed": "2826223719658628985", "semantic_fingerprint": "sha256:007c204ccf4e7025c1a1fcd029bed09043bd8fed228102090e77b6380bbffc4a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005952", "prompt": "Compute: 98 - (824 + (-4 - 91))", "solution_steps": ["Subtract: -4 - 91 = -95", "Add: 824 + (-95) = 729", "Subtract: 98 - 729 = -631"], "final_answer": "-631", "answer_type": "integer", "kind": "expression", "math_text": "98 - (824 + (-4 - 91))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 824, \"c\": -4, \"d\": 91}", "seed": "3175754831806841497", "semantic_fingerprint": "sha256:711ec62de65222569baa4caeebb45005b3288a5d2b97310947012e1f20f58c3f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005953", "prompt": "Calculate: (36 / (-1) - (-3) - (-62)) / (-794)", "solution_steps": ["Divide: 36 / (-1) = -36", "Subtract: -36 - (-3) = -33", "Subtract: -33 - (-62) = 29", "Divide: 29 / (-794) = -29/794"], "final_answer": "-29/794", "answer_type": "rational", "kind": "expression", "math_text": "(36 / (-1) - (-3) - (-62)) / (-794)", "variable": null, "family": "expression_4op", "shape": "(/ (- (- (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": -1, \"c\": -3, \"d\": -62, \"e\": -794}", "seed": "15270877361865692675", "semantic_fingerprint": "sha256:c56ac8b45f57d81c0ba304f50d7345cb8932ad7d8521bc397cb39c787fcd0459", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005954", "prompt": "Solve for x: 7(x + 5) - 58 = x - 2", "solution_steps": ["Expand: 7x + 35 - 58 = x - 2", "Combine constants: 7x - 23 = x - 2", "Subtract x from both sides: 6x - 23 = -2", "Add 23 to both sides: 6x = 21", "Divide both sides by 6: x = 7/2"], "final_answer": "7/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 5) - 58 = x - 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 58, \"d\": 2}", "seed": "11819856973919706352", "semantic_fingerprint": "sha256:9636cf4bcc7487f84fdf73922002db5ae571f4f85bbb833282ed1d5ea6a0dbc6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005955", "prompt": "Solve for x: x - 63 = 12(x - 1) + 114", "solution_steps": ["Expand: x - 63 = 12x - 12 + 114", "Combine constants: x - 63 = 12x + 102", "Subtract 12x from both sides: -11x - 63 = 102", "Add 63 to both sides: -11x = 165", "Divide both sides by -11: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 63 = 12(x - 1) + 114", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 12, \"c\": 1, \"e\": 114, \"x\": -15}", "seed": "11412069598091004988", "semantic_fingerprint": "sha256:b6eff546a789e8fae50642a1263072510de570e2a699cf630aeed5fbef869d5a", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005956", "prompt": "Solve the equation -8(x + 840) - 9 = x - 20 for x.", "solution_steps": ["Expand: -8x - 6720 - 9 = x - 20", "Combine constants: -8x - 6729 = x - 20", "Subtract x from both sides: -9x - 6729 = -20", "Add 6729 to both sides: -9x = 6709", "Divide both sides by -9: x = -6709/9"], "final_answer": "-6709/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 840) - 9 = x - 20", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 840, \"c\": 9, \"d\": 20}", "seed": "14844859440241218901", "semantic_fingerprint": "sha256:e5873a5cb41a37d42030c0e3730d9a3f98fadbac787c841d80a39c2c902be54e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005957", "prompt": "What is (-6 + (-94) + (-7)) * (-727)?", "solution_steps": ["Add: -6 + (-94) = -100", "Add: -100 + (-7) = -107", "Multiply: -107 * (-727) = 77789"], "final_answer": "77789", "answer_type": "integer", "kind": "expression", "math_text": "(-6 + (-94) + (-7)) * (-727)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -94, \"c\": -7, \"d\": -727}", "seed": "15096252293697225966", "semantic_fingerprint": "sha256:94ef6f4a2e3d9add9aaea5453089008783d8f6f357a3794f15481c42a6f8251e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005958", "prompt": "Evaluate: 26 + (-642 * 4 - 1)", "solution_steps": ["Multiply: -642 * 4 = -2568", "Subtract: -2568 - 1 = -2569", "Add: 26 + (-2569) = -2543"], "final_answer": "-2543", "answer_type": "integer", "kind": "expression", "math_text": "26 + (-642 * 4 - 1)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": -642, \"c\": 4, \"d\": 1}", "seed": "3764120306485609060", "semantic_fingerprint": "sha256:b95f7258159c12ade4b83bf65e82400d75b4a96f6a5f2bcbda2c7678be93d303", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005959", "prompt": "Evaluate: 83 - (-92 - (-342) * 1 / (-57) * (-27))", "solution_steps": ["Multiply: -342 * 1 = -342", "Divide: -342 / (-57) = 6", "Multiply: 6 * (-27) = -162", "Subtract: -92 - (-162) = 70", "Subtract: 83 - 70 = 13"], "final_answer": "13", "answer_type": "integer", "kind": "expression", "math_text": "83 - (-92 - (-342) * 1 / (-57) * (-27))", "variable": null, "family": "expression_5op", "shape": "(- n (- n (* (/ (* n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": -92, \"c\": -342, \"d\": 1, \"e\": -57, \"f\": -27}", "seed": "15634295260614951742", "semantic_fingerprint": "sha256:52d168bb0a8c37afe7b023c8df45a10cfa9e6fd8b89b1ad34301c76f2ac628ae", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005960", "prompt": "Evaluate: -885 / (-3) - 961 - (-17)", "solution_steps": ["Divide: -885 / (-3) = 295", "Subtract: 295 - 961 = -666", "Subtract: -666 - (-17) = -649"], "final_answer": "-649", "answer_type": "integer", "kind": "expression", "math_text": "-885 / (-3) - 961 - (-17)", "variable": null, "family": "expression_3op", "shape": "(- (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -885, \"b\": -3, \"c\": 961, \"d\": -17}", "seed": "16869315036496907881", "semantic_fingerprint": "sha256:adc4d2304636ec28516dd9c6e4f36925abddce2b222b918c535ebd78591de5c6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005961", "prompt": "Evaluate: 71 - (6 + 24) + 7", "solution_steps": ["Add: 6 + 24 = 30", "Subtract: 71 - 30 = 41", "Add: 41 + 7 = 48"], "final_answer": "48", "answer_type": "integer", "kind": "expression", "math_text": "71 - (6 + 24) + 7", "variable": null, "family": "expression_3op", "shape": "(+ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 6, \"c\": 24, \"d\": 7}", "seed": "6673110117029468092", "semantic_fingerprint": "sha256:4408ba447f86f51268176728c26069d6af3d3fb29934ad1a271ab1e787b25671", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005962", "prompt": "Compute: (5 - (-8)) / (2 * 5)", "solution_steps": ["Subtract: 5 - (-8) = 13", "Multiply: 2 * 5 = 10", "Divide: 13 / 10 = 13/10"], "final_answer": "13/10", "answer_type": "rational", "kind": "expression", "math_text": "(5 - (-8)) / (2 * 5)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -8, \"c\": 2, \"d\": 5}", "seed": "7001509734683241870", "semantic_fingerprint": "sha256:bfb06d00dc4ba53c6b4c384fb5335ba196b6bb808131e6c576f7cd90a13b9413", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005963", "prompt": "What value of x satisfies 8(x - 24) + 37 = 7(x + 14) - 243?", "solution_steps": ["Expand: 8x - 192 + 37 = 7(x + 14) - 243", "Expand: 8x - 192 + 37 = 7x + 98 - 243", "Combine constants: 8x - 155 = 7x + 98 - 243", "Combine constants: 8x - 155 = 7x - 145", "Subtract 7x from both sides: x - 155 = -145", "Add 155 to both sides: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 24) + 37 = 7(x + 14) - 243", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 24, \"c\": 37, \"d\": 7, \"e\": 14, \"g\": -243, \"x\": 10}", "seed": "2689071104463990011", "semantic_fingerprint": "sha256:f93753fac2db2ec63b083a7d8955e98e1b4f2a3040b58ec5ba232eea7a9af407", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005964", "prompt": "What is (-257 - 4) / (12 * (-7))?", "solution_steps": ["Subtract: -257 - 4 = -261", "Multiply: 12 * (-7) = -84", "Divide: -261 / (-84) = 87/28"], "final_answer": "87/28", "answer_type": "rational", "kind": "expression", "math_text": "(-257 - 4) / (12 * (-7))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -257, \"b\": 4, \"c\": 12, \"d\": -7}", "seed": "8195316390546075735", "semantic_fingerprint": "sha256:a2ced91d3083aaa93bfa3b6e1de03ff273e778719520ad3517b2e66d3e9e2d30", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005965", "prompt": "What value of x satisfies 11x - 7 = -11(x + 49) + 862?", "solution_steps": ["Expand: 11x - 7 = -11x - 539 + 862", "Combine constants: 11x - 7 = -11x + 323", "Add 11x to both sides: 22x - 7 = 323", "Add 7 to both sides: 22x = 330", "Divide both sides by 22: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 7 = -11(x + 49) + 862", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": -11, \"d\": 49, \"f\": 862, \"x\": 15}", "seed": "13883817245506398658", "semantic_fingerprint": "sha256:5661cabe3984a36b0b63eec9de678e173bc915801cec19f16e55313713fce8da", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005966", "prompt": "Calculate: (-957 + (-8) * (-7)) / (-5 / (-89))", "solution_steps": ["Multiply: -8 * (-7) = 56", "Add: -957 + 56 = -901", "Divide: -5 / (-89) = 5/89", "Divide: -901 / (5/89) = -80189/5"], "final_answer": "-80189/5", "answer_type": "rational", "kind": "expression", "math_text": "(-957 + (-8) * (-7)) / (-5 / (-89))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -957, \"b\": -8, \"c\": -7, \"d\": -5, \"e\": -89}", "seed": "10069795029545770449", "semantic_fingerprint": "sha256:08d0579cfe05da28e191da4e340b6e10034800ce5e07d49b463813ce6a6be981", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005967", "prompt": "Evaluate: 446 + 73 * 887 + (-98) / (-7)", "solution_steps": ["Multiply: 73 * 887 = 64751", "Add: 446 + 64751 = 65197", "Divide: -98 / (-7) = 14", "Add: 65197 + 14 = 65211"], "final_answer": "65211", "answer_type": "integer", "kind": "expression", "math_text": "446 + 73 * 887 + (-98) / (-7)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 446, \"b\": 73, \"c\": 887, \"d\": -98, \"e\": -7}", "seed": "7432915454081177245", "semantic_fingerprint": "sha256:2d94cfe9c4e71516385e7211d5c42acb657ef36df3dce424e5b586a04626fd4c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005968", "prompt": "What is (-91 + (-1) - 2) * (2 + 794 - 145)?", "solution_steps": ["Add: -91 + (-1) = -92", "Subtract: -92 - 2 = -94", "Add: 2 + 794 = 796", "Subtract: 796 - 145 = 651", "Multiply: -94 * 651 = -61194"], "final_answer": "-61194", "answer_type": "integer", "kind": "expression", "math_text": "(-91 + (-1) - 2) * (2 + 794 - 145)", "variable": null, "family": "expression_5op", "shape": "(* (- (+ n n) n) (- (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -1, \"c\": 2, \"d\": 2, \"e\": 794, \"f\": 145}", "seed": "13448428866637372962", "semantic_fingerprint": "sha256:8f2c0d41900c763b71af99dd2d3503f822dac5a83a1e15f06a4df063c830e5ff", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005969", "prompt": "What value of x satisfies x - 41 = 10(x - 4) + 44?", "solution_steps": ["Expand: x - 41 = 10x - 40 + 44", "Combine constants: x - 41 = 10x + 4", "Subtract 10x from both sides: -9x - 41 = 4", "Add 41 to both sides: -9x = 45", "Divide both sides by -9: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 41 = 10(x - 4) + 44", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 10, \"c\": 4, \"e\": 44, \"x\": -5}", "seed": "6032933586036736523", "semantic_fingerprint": "sha256:8dd1b7891ef0734dc3b415312e88c2709061b41d2ff438af4fc7a8322e7c76dc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005970", "prompt": "Compute: (-3 - 139) / (99 - 95 * 83)", "solution_steps": ["Subtract: -3 - 139 = -142", "Multiply: 95 * 83 = 7885", "Subtract: 99 - 7885 = -7786", "Divide: -142 / (-7786) = 71/3893"], "final_answer": "71/3893", "answer_type": "rational", "kind": "expression", "math_text": "(-3 - 139) / (99 - 95 * 83)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 139, \"c\": 99, \"d\": 95, \"e\": 83}", "seed": "15798202504397855140", "semantic_fingerprint": "sha256:fac955a6b45ff8c6176955a3f65057b2402363e4a2225f4b40a45bd3827fd799", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005971", "prompt": "What value of x satisfies 7(x - 8) - 71 = -6(x - 7)?", "solution_steps": ["Expand: 7x - 56 - 71 = -6(x - 7)", "Expand: 7x - 56 - 71 = -6x + 42", "Combine constants: 7x - 127 = -6x + 42", "Add 6x to both sides: 13x - 127 = 42", "Add 127 to both sides: 13x = 169", "Divide both sides by 13: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 8) - 71 = -6(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": -6, \"d\": 7, \"f\": -71, \"x\": 13}", "seed": "4377950051896658215", "semantic_fingerprint": "sha256:616c4da7e1e13e8041fcb273e2f6f8c55e1ca5003c3f2349f62278baefb2cf80", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005972", "prompt": "What is -233 - (-4 + (-43)) - 507 - (-4 + (-168))?", "solution_steps": ["Add: -4 + (-43) = -47", "Subtract: -233 - (-47) = -186", "Subtract: -186 - 507 = -693", "Add: -4 + (-168) = -172", "Subtract: -693 - (-172) = -521"], "final_answer": "-521", "answer_type": "integer", "kind": "expression", "math_text": "-233 - (-4 + (-43)) - 507 - (-4 + (-168))", "variable": null, "family": "expression_5op", "shape": "(- (- (- n (+ n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -233, \"b\": -4, \"c\": -43, \"d\": 507, \"e\": -4, \"f\": -168}", "seed": "6179302664671629276", "semantic_fingerprint": "sha256:baf780bac79eb7b18b65dece299225a7d7e3b356aed8db51a0824925f7c6c18b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005973", "prompt": "Solve the equation 2(x + 87) + 6 = 9(x + 55) - 203 for x.", "solution_steps": ["Expand: 2x + 174 + 6 = 9(x + 55) - 203", "Expand: 2x + 174 + 6 = 9x + 495 - 203", "Combine constants: 2x + 180 = 9x + 495 - 203", "Combine constants: 2x + 180 = 9x + 292", "Subtract 9x from both sides: -7x + 180 = 292", "Subtract 180 from both sides: -7x = 112", "Divide both sides by -7: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 87) + 6 = 9(x + 55) - 203", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 87, \"c\": 6, \"d\": 9, \"e\": 55, \"g\": -203, \"x\": -16}", "seed": "5196337811943454460", "semantic_fingerprint": "sha256:fa8d34e007cff160037f4220a2766f1495c10382ce9723cf0842ee0dd7c97ee4", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005974", "prompt": "What value of x satisfies -7(x - 9) = 9x - 33?", "solution_steps": ["Expand: -7x + 63 = 9x - 33", "Subtract 9x from both sides: -16x + 63 = -33", "Subtract 63 from both sides: -16x = -96", "Divide both sides by -16: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 9) = 9x - 33", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 9, \"c\": 9, \"e\": -33, \"x\": 6}", "seed": "4527580131529031036", "semantic_fingerprint": "sha256:da8b65d4f02ea2c7b7da8e69390fb35ea43ecf583aa3de300b5f4569ac72f2b6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005975", "prompt": "What is 2 + (-696) - 6 + (-367)?", "solution_steps": ["Add: 2 + (-696) = -694", "Subtract: -694 - 6 = -700", "Add: -700 + (-367) = -1067"], "final_answer": "-1067", "answer_type": "integer", "kind": "expression", "math_text": "2 + (-696) - 6 + (-367)", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -696, \"c\": 6, \"d\": -367}", "seed": "13542842315561897680", "semantic_fingerprint": "sha256:667378491d94ed2878fde86fd4b4c862176c78020aa6431afc4e82272a3c537c", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005976", "prompt": "Compute: -72 * (-1 * 61) - (-128)", "solution_steps": ["Multiply: -1 * 61 = -61", "Multiply: -72 * (-61) = 4392", "Subtract: 4392 - (-128) = 4520"], "final_answer": "4520", "answer_type": "integer", "kind": "expression", "math_text": "-72 * (-1 * 61) - (-128)", "variable": null, "family": "expression_3op", "shape": "(- (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -1, \"c\": 61, \"d\": -128}", "seed": "6075877702198267453", "semantic_fingerprint": "sha256:74f727e16f3c3b0a32222c437e6dda0d03e921f3493559cdafbafa5c7f7b3f70", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005977", "prompt": "Evaluate: 3 / (-3 * 11) - 888", "solution_steps": ["Multiply: -3 * 11 = -33", "Divide: 3 / (-33) = -1/11", "Subtract: -1/11 - 888 = -9769/11"], "final_answer": "-9769/11", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-3 * 11) - 888", "variable": null, "family": "expression_3op", "shape": "(- (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -3, \"c\": 11, \"d\": 888}", "seed": "5105226641644678837", "semantic_fingerprint": "sha256:ba72e4525c11b04e83f0e435737729f733bbdaecef207f0aae4985a81c7de7fa", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005978", "prompt": "Evaluate: (-997 / (-3) + (-3)) * 50", "solution_steps": ["Divide: -997 / (-3) = 997/3", "Add: 997/3 + (-3) = 988/3", "Multiply: (988/3) * 50 = 49400/3"], "final_answer": "49400/3", "answer_type": "rational", "kind": "expression", "math_text": "(-997 / (-3) + (-3)) * 50", "variable": null, "family": "expression_3op", "shape": "(* (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -997, \"b\": -3, \"c\": -3, \"d\": 50}", "seed": "2943771551131057959", "semantic_fingerprint": "sha256:7b5ba0f77957588b2fcc318b7629339f9a3c2f6a80a5b49f49f53789eed861c6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005979", "prompt": "Evaluate: 6 + (-9) / (-348 - 586)", "solution_steps": ["Subtract: -348 - 586 = -934", "Divide: -9 / (-934) = 9/934", "Add: 6 + 9/934 = 5613/934"], "final_answer": "5613/934", "answer_type": "rational", "kind": "expression", "math_text": "6 + (-9) / (-348 - 586)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -9, \"c\": -348, \"d\": 586}", "seed": "6642334796457117427", "semantic_fingerprint": "sha256:4e0c6f824c4f7593a94c3ba0d9e84989e87d095e80d4186e2e0ed626a61757ab", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005980", "prompt": "What is -63 * (-49) / (17 + (-4))?", "solution_steps": ["Multiply: -63 * (-49) = 3087", "Add: 17 + (-4) = 13", "Divide: 3087 / 13 = 3087/13"], "final_answer": "3087/13", "answer_type": "rational", "kind": "expression", "math_text": "-63 * (-49) / (17 + (-4))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": -49, \"c\": 17, \"d\": -4}", "seed": "1898936329060233012", "semantic_fingerprint": "sha256:0fdf7dae25ed251185bd9f73935a9c6592dcf2113c116e7f5778be632eccb402", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005981", "prompt": "Evaluate: -39 - (-30) - 89 * 38 - (-7)", "solution_steps": ["Subtract: -39 - (-30) = -9", "Multiply: 89 * 38 = 3382", "Subtract: -9 - 3382 = -3391", "Subtract: -3391 - (-7) = -3384"], "final_answer": "-3384", "answer_type": "integer", "kind": "expression", "math_text": "-39 - (-30) - 89 * 38 - (-7)", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": -30, \"c\": 89, \"d\": 38, \"e\": -7}", "seed": "4153378934188551979", "semantic_fingerprint": "sha256:018359073a3433a7b51045d7291ed59277217fa01eb7c721586e1d1174f54bb9", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005982", "prompt": "Calculate: (-316 + (-5) + (-129)) * (-700)", "solution_steps": ["Add: -316 + (-5) = -321", "Add: -321 + (-129) = -450", "Multiply: -450 * (-700) = 315000"], "final_answer": "315000", "answer_type": "integer", "kind": "expression", "math_text": "(-316 + (-5) + (-129)) * (-700)", "variable": null, "family": "expression_3op", "shape": "(* (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -316, \"b\": -5, \"c\": -129, \"d\": -700}", "seed": "7949005723268310562", "semantic_fingerprint": "sha256:dfdce1afd41e4babb0e01131027abf10e44cd26a78f7c4e3de15e6188761c452", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005983", "prompt": "What value of x satisfies 6(x + 1) - 272 = x - 166?", "solution_steps": ["Expand: 6x + 6 - 272 = x - 166", "Combine constants: 6x - 266 = x - 166", "Subtract x from both sides: 5x - 266 = -166", "Add 266 to both sides: 5x = 100", "Divide both sides by 5: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 1) - 272 = x - 166", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"c\": 272, \"e\": -166, \"x\": 20}", "seed": "7955782759735787133", "semantic_fingerprint": "sha256:927d9b8c412964b3f98ac0f07f699f3e5b63f3ea87472d5ed3d341545fb67a85", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005984", "prompt": "What value of x satisfies 2x - 8 = 4(x + 61) + 809?", "solution_steps": ["Expand: 2x - 8 = 4x + 244 + 809", "Combine constants: 2x - 8 = 4x + 1053", "Subtract 4x from both sides: -2x - 8 = 1053", "Add 8 to both sides: -2x = 1061", "Divide both sides by -2: x = -1061/2"], "final_answer": "-1061/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x - 8 = 4(x + 61) + 809", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 4, \"d\": 61, \"e\": 809}", "seed": "9467269369813707806", "semantic_fingerprint": "sha256:0e56ecfb9643b5a4b6564720ce4762751d121cd261beda448b3c874250111579", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005985", "prompt": "Evaluate: (-4 - 59 + 92) * (-948)", "solution_steps": ["Subtract: -4 - 59 = -63", "Add: -63 + 92 = 29", "Multiply: 29 * (-948) = -27492"], "final_answer": "-27492", "answer_type": "integer", "kind": "expression", "math_text": "(-4 - 59 + 92) * (-948)", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 59, \"c\": 92, \"d\": -948}", "seed": "2060490508796317920", "semantic_fingerprint": "sha256:53ba4a020d09f22907f1727cf5fae41e128931562d52dc345a3a9abc7f6263d8", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005986", "prompt": "Evaluate: 527 * (46 - 7 + 652)", "solution_steps": ["Subtract: 46 - 7 = 39", "Add: 39 + 652 = 691", "Multiply: 527 * 691 = 364157"], "final_answer": "364157", "answer_type": "integer", "kind": "expression", "math_text": "527 * (46 - 7 + 652)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 527, \"b\": 46, \"c\": 7, \"d\": 652}", "seed": "14935599593594734985", "semantic_fingerprint": "sha256:fe36f5c71db292b80cea45a3f0f37f4f30376ba9c1a1b3c5975528798c9e8979", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005987", "prompt": "Compute: (4 - 48) / (-39 + (-30) * 19)", "solution_steps": ["Subtract: 4 - 48 = -44", "Multiply: -30 * 19 = -570", "Add: -39 + (-570) = -609", "Divide: -44 / (-609) = 44/609"], "final_answer": "44/609", "answer_type": "rational", "kind": "expression", "math_text": "(4 - 48) / (-39 + (-30) * 19)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 48, \"c\": -39, \"d\": -30, \"e\": 19}", "seed": "3090933688129794857", "semantic_fingerprint": "sha256:e8f9ce7e94cab26b91110077155c24380d7ad3e5edcb5502aab26ab72e94dbf3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005988", "prompt": "Compute: (1 - (-4)) * (-2 * (-988))", "solution_steps": ["Subtract: 1 - (-4) = 5", "Multiply: -2 * (-988) = 1976", "Multiply: 5 * 1976 = 9880"], "final_answer": "9880", "answer_type": "integer", "kind": "expression", "math_text": "(1 - (-4)) * (-2 * (-988))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -4, \"c\": -2, \"d\": -988}", "seed": "4272395837754536139", "semantic_fingerprint": "sha256:ae9fae97697b7a69f20f24bc614794d31cfd10a6daf0037aec55911384f68b6f", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005989", "prompt": "Evaluate: 2 * 5 + 6 * (-7) / (-509)", "solution_steps": ["Multiply: 2 * 5 = 10", "Multiply: 6 * (-7) = -42", "Divide: -42 / (-509) = 42/509", "Add: 10 + 42/509 = 5132/509"], "final_answer": "5132/509", "answer_type": "rational", "kind": "expression", "math_text": "2 * 5 + 6 * (-7) / (-509)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": 6, \"d\": -7, \"e\": -509}", "seed": "14127226204477825384", "semantic_fingerprint": "sha256:b501917b5d401b98ca7324844f4b6c7cc3cf96b07314146833a6a38993440673", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005990", "prompt": "Find x: -9x - 2 = 5(x + 3) + 1", "solution_steps": ["Expand: -9x - 2 = 5x + 15 + 1", "Combine constants: -9x - 2 = 5x + 16", "Subtract 5x from both sides: -14x - 2 = 16", "Add 2 to both sides: -14x = 18", "Divide both sides by -14: x = -9/7"], "final_answer": "-9/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x - 2 = 5(x + 3) + 1", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 2, \"c\": 5, \"d\": 3, \"e\": 1}", "seed": "235780293443382423", "semantic_fingerprint": "sha256:8c604c2716a09c3845221488c4b160915c6f898d2e69b74ff177b5a6ad0e13a5", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005991", "prompt": "Evaluate: -631 / (30 * (-446) / 4)", "solution_steps": ["Multiply: 30 * (-446) = -13380", "Divide: -13380 / 4 = -3345", "Divide: -631 / (-3345) = 631/3345"], "final_answer": "631/3345", "answer_type": "rational", "kind": "expression", "math_text": "-631 / (30 * (-446) / 4)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -631, \"b\": 30, \"c\": -446, \"d\": 4}", "seed": "5796288142084796891", "semantic_fingerprint": "sha256:0a3b5f5fc91b08ae8716d9f6f807de19f33bb6ef3ef7976bd70f7bd87b97915b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005992", "prompt": "Evaluate: 7 + (-378) / 64 / 3", "solution_steps": ["Divide: -378 / 64 = -189/32", "Divide: (-189/32) / 3 = -63/32", "Add: 7 + (-63/32) = 161/32"], "final_answer": "161/32", "answer_type": "rational", "kind": "expression", "math_text": "7 + (-378) / 64 / 3", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -378, \"c\": 64, \"d\": 3}", "seed": "15400273416698434805", "semantic_fingerprint": "sha256:eaf1eedc5e61d3e3110f4dd8b9f85426f03cd3a0217508da2f908bfe7544561b", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005993", "prompt": "Evaluate: (86 - 6 - 1) * (5 + 79)", "solution_steps": ["Subtract: 86 - 6 = 80", "Subtract: 80 - 1 = 79", "Add: 5 + 79 = 84", "Multiply: 79 * 84 = 6636"], "final_answer": "6636", "answer_type": "integer", "kind": "expression", "math_text": "(86 - 6 - 1) * (5 + 79)", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 6, \"c\": 1, \"d\": 5, \"e\": 79}", "seed": "7507395474660583627", "semantic_fingerprint": "sha256:930382a30f487fe4f166431f95d8332a4182ec7748c83751d240b889ddbd63c3", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005994", "prompt": "Compute: 441 + 0 - (-45) + 370", "solution_steps": ["Add: 441 + 0 = 441", "Subtract: 441 - (-45) = 486", "Add: 486 + 370 = 856"], "final_answer": "856", "answer_type": "integer", "kind": "expression", "math_text": "441 + 0 - (-45) + 370", "variable": null, "family": "expression_3op", "shape": "(+ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 441, \"b\": 0, \"c\": -45, \"d\": 370}", "seed": "693730882247229992", "semantic_fingerprint": "sha256:7b70ccaeed6a02321596db67a1b78d49942816cd276f90d075a00dacfa4cd86e", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005995", "prompt": "What is -99 - 2 * (-33) - 34?", "solution_steps": ["Multiply: 2 * (-33) = -66", "Subtract: -99 - (-66) = -33", "Subtract: -33 - 34 = -67"], "final_answer": "-67", "answer_type": "integer", "kind": "expression", "math_text": "-99 - 2 * (-33) - 34", "variable": null, "family": "expression_3op", "shape": "(- (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": 2, \"c\": -33, \"d\": 34}", "seed": "16356172038084748418", "semantic_fingerprint": "sha256:a56554d75699b61a98e1192bbe388af9a794b0ce9accd6d30080dc8832035282", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005996", "prompt": "Compute: 5 / (-446 * 68 / 992)", "solution_steps": ["Multiply: -446 * 68 = -30328", "Divide: -30328 / 992 = -3791/124", "Divide: 5 / (-3791/124) = -620/3791"], "final_answer": "-620/3791", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-446 * 68 / 992)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -446, \"c\": 68, \"d\": 992}", "seed": "8765438712843092483", "semantic_fingerprint": "sha256:bd49a87e448d5bcffdaedd97ee9f4888109e9abe05325e4e720d2a6218d465fc", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005997", "prompt": "What is (-961 - 51 + 93) * 110?", "solution_steps": ["Subtract: -961 - 51 = -1012", "Add: -1012 + 93 = -919", "Multiply: -919 * 110 = -101090"], "final_answer": "-101090", "answer_type": "integer", "kind": "expression", "math_text": "(-961 - 51 + 93) * 110", "variable": null, "family": "expression_3op", "shape": "(* (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -961, \"b\": 51, \"c\": 93, \"d\": 110}", "seed": "16124574120170552599", "semantic_fingerprint": "sha256:e3aee389e913e84246dfdfca037ec70cbdb6d496dcd99d5814a1e26548c480c6", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005998", "prompt": "What value of x satisfies 8(x + 17) + 295 = 9(x + 8) - 27?", "solution_steps": ["Expand: 8x + 136 + 295 = 9(x + 8) - 27", "Expand: 8x + 136 + 295 = 9x + 72 - 27", "Combine constants: 8x + 431 = 9x + 72 - 27", "Combine constants: 8x + 431 = 9x + 45", "Subtract 9x from both sides: -x + 431 = 45", "Subtract 431 from both sides: -x = -386", "Divide both sides by -1: x = 386"], "final_answer": "386", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 17) + 295 = 9(x + 8) - 27", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 17, \"c\": 295, \"d\": 9, \"e\": 8, \"f\": 27}", "seed": "11973918831431875569", "semantic_fingerprint": "sha256:1b55af356ad96d644dd244ca2673d917cba8c9dabcb73aa7505e7642da579bcf", "generator_version": "3.0"}
{"id": "v3_val_heldout_shape_00005999", "prompt": "Evaluate: 90 / (-95) * (-3 / (-2) / 3)", "solution_steps": ["Divide: 90 / (-95) = -18/19", "Divide: -3 / (-2) = 3/2", "Divide: (3/2) / 3 = 1/2", "Multiply: (-18/19) * (1/2) = -9/19"], "final_answer": "-9/19", "answer_type": "rational", "kind": "expression", "math_text": "90 / (-95) * (-3 / (-2) / 3)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": -95, \"c\": -3, \"d\": -2, \"e\": 3}", "seed": "7438561474351686556", "semantic_fingerprint": "sha256:abc27f042480802e74f3e171e4f92d76e30ab6889222c2ef5b7b3d0d3fc166cf", "generator_version": "3.0"}